Electron diffraction

Colliex, C.; Cowley, J. M.; Dudarev, S. L.; Fink, M.; Gjønnes, J.; Hilderbrandt, R.; Howie, A.; Lynch, D. F.; Peng, L. M.; Ren, G.; Ross, A. W.; Smith, V. H. Jr; Spence, J. C. H.; Steeds, J. W.; Wang, J.; Whelan, M. J.; Zvyagin, B. B.

doi:10.1107/97809553602060000593

International
Tables for
Crystallography
Volume C
Mathematical, physical and chemical tables
Edited by E. Prince

pdf | chapter contents | chapter index | related articles

International Tables for Crystallography (2006). Vol. C. ch. 4.3, pp. 259-429
https://doi.org/10.1107/97809553602060000593

Chapter 4.3. Electron diffraction

C. Colliex,^a J. M. Cowley,^b ^‡ S. L. Dudarev,^c M. Fink,^d J. Gjønnes,^e R. Hilderbrandt,^f A. Howie,^g D. F. Lynch,^h L. M. Peng,ⁱ G. Ren,^j A. W. Ross,^d V. H. Smith Jr,^k J. C. H. Spence,^l J. W. Steeds,^m J. Wang,^k M. J. Whelan^c and B. B. Zvyaginⁿ ^‡

^a Laboratoire Aimé Cotton, CNRS, Campus d'Orsay, Bâtiment 505, F-91405 Orsay CEDEX, France,^bDepartment of Physics and Astronomy, Arizona State University, Tempe, AZ 85287-1504, USA,^cDepartment of Materials, University of Oxford, Parks Road, Oxford OX1 3PH, England,^dDepartment of Physics, The University of Texas at Austin, Austin, TX 78712, USA,^eDepartment of Physics, University of Oslo, PO Box 1048, Blindern, N-0316 Oslo, Norway,^fChemistry Division, Room 1055, The National Science Foundation, 4201 Wilson Blvd, Arlington, VA 22230, USA,^gCavendish Laboratory, Madingley Road, Cambridge CB3 0HE, England,^hCSIRO Division of Materials Science & Technology, Private Bag 33, Rosebank MDC, Clayton, Victoria 3169, Australia,ⁱDepartment of Electronics, Peking University, Beijing 100817, People's Republic of China,^jBeijing Laboratory of Electron Microscopy, Chinese Academy of Sciences, PO Box 2724, Beijing 100080, People's Republic of China,^kDepartment of Chemistry, Queen's University, Kingston, Ontario, Canada K7L 3N6,^lDepartment of Physics, Arizona State University, Tempe, AZ 85287, USA,^mH. H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol BS8 1TL, England, and ⁿInstitute of Ore Mineralogy, Akad. Nauk Russia, Staromonetny 35, 109017 Moscow, Russia

The first section of this chapter concerns scattering factors for the diffraction of electrons by crystalline solids. An explanation of the theory of scattering by a perfect crystal is followed by a discussion of the kinematical, two-beam and phase-grating approximations. Relativistic and absorption effects are considered. Extensive tables of atomic scattering amplitudes for electrons for neutral and ionized atoms are presented. The second section of the chapter briefly discusses the parameterization of electron atomic scattering factors. Tables of useful parameters as a function of accelerating voltage and elastic atomic scattering factors for neutral atoms are given. Complex scattering factors for the diffraction of electrons by gases are discussed in the third section of the chapter. This section includes tables of scattering factors of interest for gas-phase electron diffraction from atoms and molecules in the keV energy region. In addition to the tables and a description of their uses, a discussion of the theoretical uncertainties related to the material in the tables is also provided. The tables give scattering factors for elastic and inelastic scattering from free atoms. The theory of molecular scattering based on these atomic quantities is also discussed. Electron energy-loss spectroscopy on solids is discussed in the fourth section of the chapter. Topics covered include: the use of electron beams; single and multiple scattering; the classification of the different excitations in a spectrum; instrumentation; and the excitation spectra of valence and core electrons. The fifth section of the chapter describes oriented texture patterns. Lamellar and fibre texture patterns are discussed and applications to metals and organic materials are mentioned. The computation of dynamic wave amplitudes in then described in the sixth section of the chapter. This section deals first with the multislice method. The numerical procedure is outlined and factors that influence the choice of thickness of the slice are discussed. Two checks that can be performed during a multislice calculation are noted. The Bloch-wave method is then described. The use of Bloch waves to describe electron diffraction and electron imaging in thin crystals is outlined together with the concept of the dispersion surface. These emerge as natural solutions of the Schrödinger equation with a periodic optical potential to generate the elastic scattering and also the loss of intensity from the coherent wave field due to thermal diffuse and inelastic scattering. The Bloch-wave approach is a useful complement to the multislice method and provides a clear picture of wave propagation in perfect and imperfect crystals. In the seventh section of the chapter, the measurement of structure factors and the determination of crystal thickness by electron diffraction are described. The use of convergent-beam electron diffraction to obtain integrated intensities is discussed and the relationship between intensity features and the dispersion surface is explained. The last section of the chapter concerns crystal-structure determination by high-resolution microscopy. This technique allows the arrangement of atomic columns in thin crystals to be observed directly. The resolution of the best instruments is now slightly below 0.1 nm. The images usually show a projection through a slice of crystal about 20 nm thick, however tomographic (three-dimensional) reconstruction is now possible at nanometre resolution. The images show the host of microphases, grain boundaries, twins, line and planar defects which broad-beam methods, such as X-ray diffraction, provide the average scattering from. These defects often control the properties of crystals, engineering materials and electronic devices. Individual nanostructures, such as carbon nanotubes and catalyst particles, may be imaged at atomic resolution. Fine twinning, polytypes, intergrowth of oxide phases etc. can be identified, and increasingly the detailed atomic structure of defects (such as oxide, superconductor and semiconductor interfaces) is being determined. Substitutional dopant atoms have recently been imaged for the first time. In biology the method is limited by radiation damage; however by summing many images of identical randomly oriented macromolecules, tomographic density maps can be reconstructed at subnanometre resolution from hydrated proteins which cannot be crystallized (e.g. membrane proteins). This section reviews the theoretical principles of high-resolution electron microscopy, including few-beam and structure image formation, effects of electron-optical lens aberrations, partial coherence, resolution-limiting factors, image-simulation methods, dynamical effects, and a summary of super-resolution schemes.

Keywords: absorption; atomic scattering amplitudes; atomic scattering factors; Bethe theory; Bloch-wave method; core-electron spectroscopy; core-loss spectroscopy; crystal thickness; crystalline solids; dielectric description; dynamical diffraction; dynamical wave amplitudes; EELS; elastic scattering; electron diffraction; electron energy-loss spectroscopy; electron microscopy; electrons; free-electron gas; high-resolution electron microscopy; HREM; hyper-resolution; inelastic scattering; lamellar textures; lattice-fringe images; molecular scattering factors; multiple scattering; multislice method; oriented texture patterns; plasmons; real solids; relativistic effects; STEM; scanning transmission electron microscopes; scattering factors; solid-state effects; spectrometers; structure factors; surface plasmons; texture; wave amplitudes; X-ray diffraction.

4.3.1. Scattering factors for the diffraction of electrons by crystalline solids

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J. M. Cowley^b ^‡

4.3.1.1. Elastic scattering from a perfect crystal

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The most important interaction of electrons with crystalline matter is the interaction with the electrostatic potential field. The scattering into sharp, Bragg reflections is considered in terms of the interaction of an incident plane wave with a time-independent, averaged, periodic potential field which may be written $[\varphi({\bf r}) ={1\over \Omega}\sum_{\bf h}V({\bf h})\exp\{-2\pi i {\bf h}\cdot{\bf r}\}, \eqno (4.3.1.1)]$ where $[\Omega]$ is the unit-cell volume and the Fourier coefficients, $[V({\bf h})]$ , may be referred to as the structure amplitudes corresponding to the reciprocal-lattice vectors h. In conformity with the crystallographic sign convention used throughout this volume [see also Volume B (IT B, 2001 )], we choose a free-electron approximation for the incident electron beam of the form $[\exp(-i{\bf k}\cdot {\bf r})]$ and the interaction is represented by inserting the potential (4.3.1.1) in the Schrödinger wave equation $[\nabla^2\psi(r)+2k\sigma\{E+\varphi(r)\}\psi(r)=0, \eqno (4.3.1.2)]$ where eE is the kinetic energy of the incident beam, $[k\,(=2\pi/\lambda)]$ is the magnitude of the wavevector for the incident electrons, and σ is an `interaction constant' defined by $[\sigma=2\pi me\lambda/h^2, \eqno (4.3.1.3)]$ where h is Planck's constant. Relativistic values of m and λ are assumed (see Subsection 4.3.1.4 ).

The solution of equation (4.3.1.2), subject to the boundary conditions imposed by the need to fit the waves in the crystal with the incoming and outgoing waves in vacuum at the crystal surfaces, then allows the directions and amplitudes of the diffracted beams to be obtained in terms of the crystal periodicities and the Fourier coefficients, $[V({\bf h})]$ , of $[\varphi({\bf r})]$ by the eigenvalue or Bloch-wave method (Bethe, 1928 ).

Alternatively, the scattered amplitudes may be obtained from the integral form of (4.3.1.2), $[\eqalignno{ \psi({\bf r})&=\exp\{-i{\bf k}_0\cdot{\bf r}\} \cr&\quad +K\int\displaystyle {\exp\{-ik|{\bf r}-{\bf r}'|\}\over |{\bf r}-{\bf r}'|}\varphi({\bf r}')\psi({\bf r}')\,{\rm d}\tau_{\bf r'}, &(4.3.1.4)}]$ where $[\exp\{-i{\bf k}_0\cdot{\bf r}\}]$ represents the incident beam, K = σ/λ, and the integral is taken over the space of the variable, $[{\bf r}']$ . An iterative solution of (4.3.1.4) leads to the Born series, $[\psi=\psi_0+\psi_1+\psi_2+\ldots,]$ where $[\psi_0= \exp\{-i{\bf k}_0\cdot{\bf r}\}]$ and $[\psi_n({\bf r})=K \int{\exp\{-ik|{\bf r}-{\bf r}'|\}\over|{\bf r}-{\bf r}'|}\varphi({\bf r}')\psi_{n-1}({\bf r}')\,{\rm d}\tau_{\bf r'}, \eqno (4.3.1.5)]$ for $[n\ge1]$ . Terms of the series for $[n=1,2,\ldots]$ may be considered to represent the contributions from single, double and multiple scattering of the incident electron beam. This method has been applied to the diffraction from crystals by Fujiwara (1959 ).

A further formulation of the scattering problem in integral form is that due to Cowley & Moodie (1957 ) who considered the progressive modification of an incident plane wave as it passed through successive thin slices of a crystal. The effect of the nth slice on the incident electron wave is that of a phase-grating so that the wavefunction is modified by multiplication by a transmission function , $[q_n(xy)=\exp\{-i\sigma\varphi_n(xy)\}, \eqno (4.3.1.6)]$ where $[\varphi_n(xy)]$ is the projection of the potential distribution within the slice in the direction of the incident beam, taken to be the z axis; $[\varphi_n(x,y)=\textstyle\int\limits^{z_n+\Delta z}_{z_n}\,\varphi(x,y,z)\,{\rm d} z. \eqno (4.3.1.7)]$ Propagation of the wave between the centres of slices is represented by convolution with a propagation function, p(xy), so that the wave entering the (n + 1)th slice may be written $[\psi_{n+1}(xy)=[\psi_n(xy)\cdot q_n(xy)]*p_n(xy). \eqno (4.3.1.8)]$ In the small-angle approximation, the function [p_n(xy)] is given by the usual Fresnel diffraction theory as $[p(xy)=(i/\lambda\Delta z)\exp\{-ik(x^2+y^2)/2\Delta z\}. \eqno (4.3.1.9)]$

In the limit that the slice thickness, $[\Delta z]$ , tends to zero, the iteration of (4.3.1.8) gives an exact account of the diffraction by the crystal.

On the basis of the above-mentioned and other related formulations of the diffraction problem, several computing methods have been devised for calculation of the amplitudes and intensities of the many diffracted beams of appreciable intensity that may emerge simultaneously from a crystal (see Section 4.3.6 ). In this way, a degree of accuracy may be achieved in the calculation of the intensities of spots in diffraction patterns or of the contrast in electron-microscope images of crystals (Section 4.3.8 ).

4.3.1.2. Atomic scattering factors

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All such calculations require a knowledge of the potential distribution, $[\varphi({\bf r})]$ , or its Fourier coefficients, $[V({\bf h})]$ . It is usually convenient to express the potential distribution in terms of the sum of contributions of individual atoms centred at the positions $[{\bf r}={\bf r}_i]$ . Thus: $[\varphi({\bf r})=\textstyle\sum\limits_i \varphi_i({\bf r}-{\bf r}_i) \eqno (4.3.1.10)]$ or, in terms of the Fourier transforms, [V_i] , of the $[\varphi_i({\bf r})]$ $[V({\bf h})=\textstyle\sum\limits_i V_i({\bf h})\exp\{+2\pi i{\bf h}\cdot{\bf r}_i\}. \eqno (4.3.1.11)]$

As a first approximation, the functions $[\varphi_i({\bf r})]$ may be identified with the potential distributions for individual, isolated atoms or ions, with the usual spreading due to thermal motion. The interatomic binding and the interactions of ions that are thereby neglected may have important effects on diffraction intensities in some cases.

In this approximation, the Fourier transforms for individual atoms may be written $[V_i(s)=f^B_i(s)/K, \eqno (4.3.1.12)]$ where $[s=4\pi\lambda^{-1}\sin\theta=|{\bf k}-{\bf k}_0|]$ and the [f^B] are the Born electron scattering amplitudes, as conventionally defined, in units of Å. Here $[\theta]$ is half the scattering angle and, again, K = σ/λ. Some values of [f^B(s)] listed in the accompanying Tables 4.3.1.1 and 4.3.1.2 are obtained from the atomic potentials $[\varphi_0({\bf r})]$ for isolated, spherically symmetrical atoms or ions by the relation $[f^{B}(s)=4\pi K \int\limits^\infty_0 r^2\varphi(r){\sin sr\over sr}{\rm d} r.\eqno (4.3.1.13)]$

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Atomic scattering amplitudes (Å) for electrons for neutral atoms

Self-consistent field calculations: HF: non-relativistic Hartree–Fock; RHF, *RHF: relativistic Hartree–Fock.

Element	H	He	Li	Be	B	C	N	O	F	Ne	Na
Z	1	2	3	4	5	6	7	8	9	10	11
Method	HF	RHF	RHF	RHF	RHF	RHF	RHF	RHF	RHF	RHF	RHF
(sin $[\theta]$ )/λ (Å⁻¹)
0.00	0.529	0.418	3.286	3.052	2.794	2.509	2.211	1.983	1.801	1.652	4.778
0.01		0.418	3.265	3.042	2.788	2.505	2.209	1.982	1.800	1.651	4.749
0.02		0.417	3.200	3.011	2.768	2.492	2.201	1.976	1.796	1.648	4.663
0.03		0.415	3.097	2.961	2.736	2.471	2.187	1.966	1.789	1.642	4.527
0.04	0.51	0.413	2.961	2.892	2.693	2.442	2.168	1.953	1.779	1.635	4.348
0.05	0.51	0.410	2.800	2.807	2.638	2.406	2.144	1.937	1.767	1.626	4.138

0.06	0.50	0.407	2.622	2.710	2.574	2.363	2.116	1.917	1.752	1.615	3.908
0.07	0.49	0.404	2.435	2.601	2.502	2.313	2.083	1.893	1.735	1.602	3.667
0.08	0.48	0.399	2.245	2.484	2.423	2.259	2.047	1.867	1.716	1.587	3.425
0.09	0.47	0.395	2.058	2.362	2.339	2.200	2.007	1.839	1.694	1.570	3.190
0.10	0.45	0.390	1.879	2.237	2.250	2.138	1.963	1.808	1.671	1.552	2.967

0.11	0.44	0.384	1.710	2.111	2.159	2.072	1.918	1.774	1.646	1.533	2.759
0.12	0.425	0.378	1.554	1.987	2.067	2.005	1.870	1.739	1.619	1.512	2.569
0.13	0.411	0.372	1.411	1.865	1.974	1.936	1.821	1.702	1.591	1.490	2.395
0.14	0.396	0.366	1.282	1.748	1.882	1.866	1.770	1.664	1.562	1.467	2.239
0.15	0.382	0.359	1.166	1.635	1.791	1.796	1.718	1.625	1.532	1.443	2.099

0.16	0.366	0.352	1.063	1.528	1.702	1.727	1.666	1.585	1.501	1.418	1.974
0.17	0.353	0.345	0.971	1.427	1.616	1.658	1.614	1.545	1.469	1.393	1.863
0.18	0.338	0.338	0.889	1.332	1.533	1.591	1.561	1.504	1.436	1.367	1.763
0.19	0.324	0.330	0.817	1.243	1.453	1.524	1.510	1.463	1.404	1.340	1.674
0.20	0.311	0.323	0.753	1.161	1.377	1.460	1.458	1.422	1.371	1.313	1.594

0.22	0.285	0.308	0.646	1.013	1.235	1.337	1.358	1.341	1.304	1.259	1.458
0.24	0.261	0.293	0.562	0.887	1.107	1.222	1.262	1.261	1.238	1.204	1.344
0.25	0.249	0.286	0.526	0.832	1.048	1.168	1.216	1.222	1.206	1.176	1.295
0.26	0.238	0.278	0.494	0.781	0.993	1.117	1.171	1.184	1.173	1.149	1.249
0.28	0.218	0.264	0.440	0.690	0.892	1.020	1.085	1.110	1.110	1.095	1.167
0.30	0.199	0.250	0.396	0.614	0.803	0.932	1.006	1.040	1.049	1.043	1.095

0.32	0.182	0.236	0.359	0.549	0.725	0.853	0.932	0.974	0.991	0.991	1.031
0.34	0.167	0.224	0.328	0.494	0.657	0.781	0.863	0.911	0.935	0.942	0.973
0.35	0.160	0.217	0.314	0.469	0.625	0.748	0.831	0.881	0.908	0.918	0.946
0.36	0.153	0.211	0.301	0.446	0.596	0.717	0.800	0.853	0.882	0.894	0.921
0.38	0.141	0.200	0.279	0.406	0.543	0.658	0.742	0.798	0.831	0.849	0.872
0.40	0.130	0.189	0.259	0.371	0.497	0.606	0.689	0.747	0.784	0.805	0.827

0.42	0.120	0.178	0.241	0.341	0.455	0.559	0.641	0.700	0.739	0.764	0.785
0.44	0.111	0.169	0.226	0.314	0.419	0.517	0.596	0.656	0.697	0.725	0.746
0.45	0.107	0.164	0.219	0.302	0.402	0.497	0.575	0.635	0.677	0.706	0.727
0.46	0.103	0.159	0.212	0.291	0.387	0.479	0.555	0.615	0.658	0.687	0.709
0.48	0.096	0.151	0.200	0.271	0.358	0.444	0.518	0.577	0.621	0.652	0.675
0.50	0.089	0.143	0.188	0.253	0.333	0.413	0.484	0.542	0.586	0.619	0.642

0.55	0.075	0.125	0.164	0.215	0.280	0.348	0.411	0.466	0.510	0.544	0.569
0.60	0.064	0.110	0.145	0.186	0.239	0.297	0.353	0.403	0.445	0.479	0.505
0.65	0.055	0.097	0.128	0.164	0.207	0.256	0.305	0.350	0.390	0.424	0.450
0.70	0.048	0.086	0.115	0.145	0.182	0.223	0.266	0.307	0.344	0.376	0.403
0.80	0.037	0.068	0.093	0.117	0.144	0.175	0.208	0.241	0.272	0.300	0.325
0.90	0.029	0.055	0.077	0.096	0.118	0.141	0.167	0.193	0.219	0.244	0.266
1.00	0.024	0.046	0.064	0.081	0.098	0.117	0.137	0.159	0.180	0.201	0.221

1.10	0.020	0.038	0.054	0.069	0.083	0.099	0.115	0.133	0.150	0.168	0.185
1.20	0.017	0.032	0.046	0.059	0.072	0.085	0.098	0.113	0.128	0.143	0.158
1.30	0.014	0.028	0.040	0.051	0.062	0.073	0.085	0.097	0.110	0.123	0.135
1.40	0.012	0.024	0.035	0.045	0.055	0.064	0.074	0.085	0.095	0.106	0.117
1.50	0.011	0.021	0.031	0.040	0.048	0.057	0.065	0.074	0.084	0.093	0.103

1.60		0.019	0.028	0.035	0.043	0.051	0.058	0.066	0.074	0.083	0.092
1.70		0.016	0.024	0.031	0.038	0.045	0.052	0.059	0.066	0.074	0.081
1.80		0.015	0.022	0.028	0.035	0.041	0.047	0.053	0.060	0.066	0.073
1.90		0.013	0.019	0.026	0.031	0.037	0.043	0.048	0.054	0.060	0.065
2.00		0.012	0.017	0.023	0.028	0.034	0.039	0.044	0.049	0.054	0.059

Element	Mg	Al	Si	P	S	Cl	Ar	K	Ca	Sc	Ti
Z	12	13	14	15	16	17	18	19	20	21	22
Method	RHF	RHF	RHF	RHF	RHF	RHF	RHF	RHF	RHF	RHF	RHF
(sin $[\theta]$ )/λ (Å⁻¹)
0.00	5.207	5.889	5.828	5.488	5.161	4.857	4.580	8.984	9.913	9.307	8.776
0.01	5.187	5.867	5.810	5.476	5.152	4.851	4.576	8.921	9.860	9.264	8.740
0.02	5.124	5.800	5.759	5.439	5.124	4.830	4.559	8.731	9.699	9.134	8.631
0.03	5.022	5.692	5.675	5.378	5.079	4.795	4.531	8.434	9.442	8.926	8.455
0.04	4.884	5.547	5.561	5.296	5.016	4.746	4.493	8.054	9.104	8.649	8.220
0.05	4.717	5.371	5.421	5.192	4.938	4.685	4.444	7.619	8.703	8.318	7.937

0.06	4.527	5.170	5.258	5.071	4.845	4.613	4.386	7.157	8.258	7.946	7.618
0.07	4.320	4.949	5.077	4.935	4.740	4.529	4.320	6.691	7.789	7.548	7.274
0.08	4.102	4.717	4.882	4.785	4.623	4.436	4.245	6.239	7.312	7.139	6.917
0.09	3.879	4.478	4.677	4.625	4.496	4.335	4.163	5.815	6.841	6.729	6.556
0.10	3.656	4.237	4.467	4.457	4.362	4.227	4.074	5.426	6.388	6.328	6.199

0.11	3.437	3.999	4.255	4.285	4.222	4.113	3.980	5.073	5.959	5.944	5.853
0.12	3.226	3.767	4.043	4.109	4.078	3.994	3.881	4.756	5.560	5.580	5.522
0.13	3.025	3.544	3.835	3.933	3.931	3.871	3.779	4.474	5.192	5.239	5.209
0.14	2.835	3.330	3.632	3.758	3.783	3.746	3.674	4.222	4.855	4.924	4.916
0.15	2.657	3.128	3.437	3.586	3.635	3.620	3.566	3.997	4.550	4.633	4.643

0.16	2.492	2.938	3.249	3.417	3.487	3.493	3.458	3.795	4.273	4.366	4.390
0.17	2.340	2.760	3.070	3.253	3.342	3.367	3.348	3.612	4.023	4.122	4.157
0.18	2.199	2.595	2.900	3.094	3.200	3.242	3.239	3.446	3.797	3.899	3.943
0.19	2.071	2.441	2.740	2.942	3.061	3.118	3.130	3.295	3.593	3.695	3.745
0.20	1.953	2.299	2.589	2.796	2.927	2.997	3.022	3.154	3.408	3.509	3.564

0.22	1.748	2.046	2.315	2.525	2.671	2.763	2.811	2.902	3.086	3.183	3.242
0.24	1.577	1.832	2.076	2.281	2.436	2.543	2.609	2.680	2.815	2.906	2.967
0.25	1.502	1.737	1.969	2.169	2.326	2.438	2.512	2.578	2.695	2.783	2.844
0.26	1.434	1.650	1.869	2.064	2.221	2.337	2.417	2.481	2.584	2.669	2.730
0.28	1.313	1.495	1.689	1.872	2.026	2.148	2.238	2.299	2.383	2.462	2.523
0.30	1.211	1.363	1.534	1.702	1.851	1.974	2.070	2.134	2.206	2.281	2.341

0.32	1.123	1.251	1.400	1.553	1.694	1.816	1.915	1.982	2.048	2.119	2.178
0.34	1.047	1.154	1.284	1.422	1.554	1.672	1.772	1.842	1.905	1.974	2.032
0.35	1.013	1.111	1.231	1.362	1.490	1.606	1.705	1.776	1.838	1.906	1.964
0.36	0.980	1.070	1.182	1.306	1.429	1.542	1.641	1.714	1.775	1.842	1.899
0.38	0.921	0.997	1.094	1.205	1.318	1.425	1.522	1.595	1.657	1.722	1.778
0.40	0.868	0.932	1.017	1.115	1.218	1.319	1.412	1.487	1.548	1.612	1.668

0.42	0.821	0.875	0.949	1.036	1.130	1.224	1.313	1.387	1.449	1.511	1.566
0.44	0.777	0.825	0.888	0.965	1.051	1.138	1.223	1.295	1.357	1.418	1.472
0.45	0.757	0.801	0.861	0.933	1.014	1.098	1.181	1.252	1.314	1.374	1.428
0.46	0.738	0.779	0.834	0.903	0.980	1.061	1.141	1.211	1.272	1.332	1.385
0.48	0.701	0.737	0.786	0.847	0.917	0.991	1.066	1.134	1.194	1.252	1.305
0.50	0.667	0.700	0.743	0.797	0.860	0.928	0.998	1.064	1.123	1.179	1.230

0.55	0.592	0.618	0.651	0.692	0.741	0.796	0.854	0.912	0.966	1.018	1.067
0.60	0.528	0.551	0.578	0.610	0.648	0.692	0.740	0.790	0.838	0.885	0.930
0.65	0.473	0.494	0.517	0.543	0.573	0.609	0.648	0.690	0.733	0.775	0.816
0.70	0.425	0.445	0.465	0.487	0.513	0.541	0.574	0.609	0.647	0.684	0.721
0.80	0.347	0.366	0.383	0.401	0.419	0.440	0.462	0.488	0.515	0.544	0.573
0.90	0.286	0.304	0.320	0.335	0.350	0.366	0.383	0.402	0.422	0.444	0.467

1.00	0.239	0.255	0.270	0.284	0.298	0.311	0.324	0.339	0.354	0.371	0.389
1.10	0.202	0.217	0.231	0.243	0.255	0.267	0.278	0.290	0.303	0.316	0.330
1.20	0.172	0.185	0.198	0.210	0.221	0.232	0.242	0.252	0.262	0.273	0.285
1.30	0.148	0.160	0.172	0.183	0.193	0.202	0.212	0.220	0.230	0.239	0.249
1.40	0.129	0.139	0.150	0.160	0.169	0.178	0.187	0.194	0.202	0.211	0.219
1.50	0.113	0.123	0.132	0.141	0.150	0.158	0.166	0.174	0.181	0.188	0.195

1.60	0.100	0.109	0.117	0.125	0.133	0.141	0.148	0.156	0.162	0.169	0.175
1.70	0.089	0.096	0.104	0.111	0.119	0.126	0.132	0.138	0.144	0.151	0.157
1.80	0.080	0.087	0.093	0.100	0.107	0.113	0.119	0.127	0.132	0.137	0.143
1.90	0.072	0.078	0.084	0.090	0.096	0.102	0.108	0.112	0.118	0.124	0.129
2.00	0.065	0.070	0.076	0.082	0.087	0.093	0.098	0.101	0.107	0.112	0.117

Element	V	Cr	Mn	Fe	Co	Ni	Cu	Zn	Ga	Ge	As
Z	23	24	25	26	27	28	29	30	31	32	33
Method	RHF	RHF	RHF	RHF	RHF	RHF	RHF	RHF	RHF	RHF	RHF
(sin $[\theta]$ )/λ (Å⁻¹)
0.00	8.305	6.969	7.506	7.165	6.854	6.569	5.600	6.065	7.108	7.378	7.320
0.01	8.274	6.945	7.484	7.145	6.836	6.552	5.587	6.051	7.088	7.359	7.306
0.02	8.180	6.875	7.412	7.081	6.779	6.501	5.547	6.009	7.027	7.303	7.260
0.03	8.029	6.762	7.296	6.978	6.687	6.418	5.482	5.941	6.927	7.211	7.184
0.04	7.826	6.610	7.140	6.839	6.562	6.306	5.395	5.849	6.792	7.088	7.081
0.05	7.581	6.427	6.949	6.669	6.410	6.169	5.287	5.735	6.629	6.935	6.953

0.06	7.303	6.221	6.732	6.474	6.234	6.010	5.165	5.603	6.441	6.759	6.803
0.07	7.002	5.997	6.493	6.260	6.040	5.834	5.029	5.457	6.236	6.562	6.634
0.08	6.686	5.764	6.241	6.032	5.834	5.646	4.886	5.299	6.017	6.351	6.449
0.09	6.365	5.527	5.981	5.796	5.619	5.449	4.737	5.133	5.792	6.129	6.253
0.10	6.045	5.291	5.719	5.558	5.401	5.249	4.585	4.962	5.564	5.902	6.048

0.11	5.732	5.061	5.459	5.320	5.182	5.048	4.434	4.790	5.337	5.672	5.838
0.12	5.430	4.838	5.206	5.087	4.967	4.848	4.285	4.618	5.113	5.442	5.625
0.13	5.142	4.625	4.962	4.861	4.758	4.654	4.139	4.449	4.896	5.217	5.411
0.14	4.871	4.423	4.728	4.644	4.555	4.465	3.998	4.283	4.686	4.996	5.200
0.15	4.616	4.231	4.506	4.436	4.361	4.283	3.862	4.123	4.486	4.783	4.992

0.16	4.378	4.051	4.297	4.240	4.177	4.110	3.731	3.969	4.295	4.578	4.789
0.17	4.158	3.882	4.100	4.054	4.002	3.944	3.607	3.822	4.114	4.382	4.593
0.18	3.953	3.723	3.916	3.880	3.836	3.788	3.488	3.681	3.942	4.195	4.404
0.19	3.763	3.574	3.743	3.716	3.681	3.640	3.375	3.547	3.781	4.017	4.222
0.20	3.588	3.434	3.583	3.562	3.534	3.500	3.267	3.421	3.629	3.849	4.048

0.22	3.276	3.179	3.292	3.284	3.267	3.245	3.067	3.186	3.352	3.541	3.724
0.24	3.006	2.953	3.039	3.039	3.032	3.018	2.885	2.977	3.108	3.268	3.433
0.25	2.885	2.849	2.924	2.928	2.924	2.914	2.800	2.880	2.997	3.143	3.299
0.26	2.772	2.750	2.817	2.824	2.823	2.816	2.719	2.789	2.892	3.026	3.172
0.28	2.568	2.568	2.620	2.632	2.637	2.636	2.568	2.620	2.701	2.813	2.940
0.30	2.386	2.403	2.445	2.461	1.471	2.474	2.428	2.468	2.531	2.623	2.733

0.32	2.225	2.252	2.288	2.308	2.321	2.328	2.299	2.329	2.379	2.455	2.548
0.34	2.079	2.114	2.146	2.168	2.184	2.195	2.180	2.203	2.242	2.304	2.384
0.35	2.011	2.049	2.080	2.104	2.121	2.133	2.123	2.144	2.179	2.235	2.308
0.36	1.947	1.987	2.017	2.042	2.060	2.073	2.069	2.087	2.119	2.169	2.237
0.38	1.826	1.870	1.899	1.925	1.946	1.962	1.965	1.980	2.006	2.048	2.105
0.40	1.716	1.761	1.790	1.818	1.841	1.858	1.868	1.882	1.903	1.938	1.986

0.42	1.614	1.660	1.690	1.719	1.743	1.763	1.777	1.790	1.808	1.837	1.878
0.44	1.520	1.567	1.597	1.628	1.653	1.674	1.691	1.704	1.720	1.745	1.780
0.45	1.476	1.523	1.553	1.584	1.610	1.631	1.651	1.663	1.679	1.702	1.734
0.46	1.433	1.480	1.511	1.542	1.569	1.591	1.611	1.624	1.639	1.661	1.691
0.48	1.352	1.399	1.431	1.462	1.490	1.513	1.535	1.549	1.563	1.583	1.608
0.50	1.277	1.323	1.356	1.388	1.416	1.440	1.464	1.478	1.492	1.510	1.533

0.55	1.111	1.155	1.189	1.222	1.251	1.277	1.303	1.319	1.334	1.349	1.367
0.60	0.973	1.014	1.047	1.080	1.110	1.136	1.163	1.181	1.197	1.212	1.228
0.65	0.856	0.894	0.927	0.959	0.988	1.015	1.041	1.061	1.078	1.093	1.108
0.70	0.757	0.792	0.824	0.854	0.883	0.909	0.935	0.955	0.973	0.989	1.004
0.80	0.602	0.631	0.659	0.686	0.712	0.737	0.761	0.781	0.800	0.817	0.832
0.90	0.490	0.514	0.538	0.561	0.583	0.605	0.626	0.646	0.665	0.681	0.697
1.00	0.408	0.427	0.446	0.466	0.485	0.504	0.523	0.541	0.558	0.574	0.589

1.10	0.345	0.361	0.377	0.393	0.409	0.425	0.442	0.457	0.473	0.488	0.502
1.20	0.297	0.310	0.323	0.336	0.350	0.364	0.378	0.391	0.405	0.418	0.431
1.30	0.259	0.269	0.280	0.291	0.303	0.315	0.327	0.339	0.350	0.362	0.374
1.40	0.228	0.237	0.246	0.255	0.265	0.275	0.285	0.296	0.306	0.317	0.327
1.50	0.203	0.210	0.218	0.226	0.235	0.243	0.252	0.261	0.270	0.279	0.288

1.60	0.182	0.188	0.195	0.202	0.209	0.217	0.224	0.232	0.240	0.248	0.256
1.70	0.163	0.169	0.175	0.181	0.188	0.194	0.201	0.208	0.215	0.222	0.229
1.80	0.148	0.154	0.159	0.165	0.170	1.176	0.182	0.188	0.194	0.200	0.206
1.90	0.134	0.139	0.144	0.149	0.154	0.160	0.165	0.170	0.175	0.181	0.187
2.00	0.122	0.127	0.132	0.136	0.141	0.146	0.150	0.155	0.160	0.165	0.170

Element	Se	Br	Kr	Rb	Sr	Y	Zr	Nb	Mo	Tc	Ru
Z	34	35	36	37	38	39	40	41	42	43	44
Method	RHF	RHF	RHF	RHF	RHF	*RHF	*RHF	*RHF	*RHF	*RHF	*RHF
(sin $[\theta]$ )/λ (Å⁻¹)
0.00	7.205	7.060	6.897	11.778	13.109	12.674	12.166	10.679	10.260	10.856	9.558
0.01	7.192	7.049	6.889	11.699	13.035				10.230
0.02	7.154	7.016	6.861	11.460	12.816				10.138
0.03	7.090	6.962	6.814	11.088	12.468				9.989
0.04	7.004	6.888	6.750	10.613	12.013	11.79	11.41	10.13	9.790	10.35	9.18
0.05	6.895	6.795	6.670	10.073	11.476	11.34	11.04	9.86	9.548	10.10	8.99

0.06	6.767	6.684	6.574	9.504	10.888	10.84	10.62	9.54	9.272	9.80	8.77
0.07	6.621	6.558	6.464	8.934	10.273	10.31	10.15	9.20	8.972	9.48	8.53
0.08	6.460	6.418	6.341	8.385	9.655	9.77	9.68	8.85	8.655	9.14	8.27
0.09	6.288	6.266	6.207	7.872	9.052	9.23	9.20	8.49	8.330	8.78	8.00
0.10	6.105	6.104	6.064	7.402	8.478	8.70	8.72	8.12	8.004	8.42	7.73

0.11	5.916	5.935	5.913	6.976	7.940	8.20	8.26	7.77	7.680	8.07	7.46
0.12	5.722	5.760	5.755	6.593	7.443	7.722	7.818	7.421	7.364	7.720	7.190
0.13	5.525	5.580	5.593	6.248	6.988	7.278	7.400	7.090	7.058	7.383	6.928
0.14	5.328	5.399	5.428	5.938	6.575	6.865	7.007	6.772	6.763	7.057	6.672
0.15	5.132	5.217	5.260	5.658	6.200	6.485	6.640	6.472	6.481	6.746	6.426

0.16	4.938	5.036	5.092	5.403	5.862	6.136	6.299	6.187	6.213	6.451	6.188
0.17	4.749	4.857	4.925	5.170	5.555	5.816	5.983	5.918	5.957	6.171	5.960
0.18	4.564	4.680	4.759	4.954	5.278	5.523	5.689	5.665	5.715	5.907	5.741
0.19	4.384	4.507	4.595	4.754	5.025	5.254	5.419	5.427	5.486	5.658	5.533
0.20	4.211	4.339	4.434	4.566	4.794	5.008	5.168	5.203	5.269	5.423	5.332

0.22	3.884	4.017	4.123	4.224	4.387	4.570	4.721	4.792	4.868	4.994	4.959
0.24	3.585	3.718	3.829	3.916	4.039	4.195	4.333	4.426	4.507	4.614	4.618
0.25	3.446	3.578	3.690	3.773	3.882	4.027	4.158	4.258	4.341	4.439	4.459
0.26	3.314	3.443	3.556	3.636	3.735	3.869	3.995	4.099	4.182	4.273	4.306
0.28	3.069	3.192	3.303	3.382	3.465	3.583	3.697	3.804	3.888	3.969	4.021
0.30	2.849	2.963	3.071	3.149	3.224	3.329	3.433	3.539	3.622	3.695	3.759

0.32	2.651	2.757	2.858	2.936	3.007	3.101	3.196	3.298	3.379	3.448	3.518
0.34	2.475	2.570	2.665	2.742	2.810	2.895	2.982	3.080	3.158	3.223	3.296
0.35	2.393	2.484	2.575	2.651	2.718	2.799	2.883	2.978	3.054	3.118	3.192
0.36	2.316	2.402	2.490	2.564	2.630	2.708	2.789	2.880	2.955	3.018	3.092
0.38	2.173	2.250	2.330	2.402	2.466	2.538	2.613	2.698	2.770	2.830	2.904
0.40	2.045	2.113	2.186	2.254	2.315	2.383	2.452	2.531	2.600	2.658	2.730

0.42	1.929	1.989	2.055	2.119	2.178	2.241	2.305	2.379	2.444	2.500	2.570
0.44	1.824	1.877	1.936	1.995	2.052	2.111	2.171	2.239	2.300	2.355	2.421
0.45	1.776	1.825	1.881	1.938	1.993	2.049	2.108	2.173	2.233	2.287	2.351
0.46	1.729	1.775	1.828	1.883	1.936	1.991	2.047	2.110	2.168	2.221	2.284
0.48	1.642	1.683	1.730	1.780	1.830	1.881	1.934	1.991	2.046	2.098	2.157
0.50	1.562	1.598	1.640	1.686	1.733	1.780	1.829	1.883	1.934	1.984	2.040

0.55	1.389	1.416	1.447	1.483	1.522	1.562	1.603	1.646	1.690	1.734	1.782
0.60	1.245	1.266	1.290	1.319	1.350	1.383	1.417	1.452	1.490	1.528	1.569
0.65	1.124	1.141	1.160	1.182	1.208	1.235	1.263	1.292	1.324	1.357	1.391
0.70	1.019	1.034	1.050	1.068	1.089	1.111	1.135	1.159	1.185	1.214	1.243
0.80	0.847	0.860	0.873	0.887	0.902	0.918	0.935	0.952	0.971	0.992	1.013
0.90	0.711	0.725	0.737	0.749	0.762	0.774	0.787	0.800	0.814	0.830	0.845
1.00	0.603	0.616	0.628	0.640	0.651	0.662	0.673	0.684	0.695	0.707	0.719

1.10	0.515	0.528	0.540	0.551	0.562	0.572	0.582	0.591	0.601	0.611	0.621
1.20	0.444	0.456	0.467	0.478	0.488	0.498	0.507	0.516	0.525	0.534	0.542
1.30	0.385	0.396	0.407	0.417	0.427	0.436	0.445	0.454	0.462	0.470	0.478
1.40	0.337	0.347	0.357	0.365	0.375	0.384	0.393	0.401	0.408	0.416	0.423
1.50	0.297	0.306	0.315	0.325	0.333	0.341	0.349	0.356	0.364	0.371	0.378

1.60	0.264	0.272	0.280	0.290	0.297	0.303	0.311	0.318	0.325	0.332	0.338
1.70	0.236	0.243	0.250	0.257	0.264	0.272	0.278	0.285	0.291	0.298	0.304
1.80	0.212	0.219	0.225	0.233	0.239	0.244	0.251	0.257	0.263	0.269	0.275
1.90	0.192	0.198	0.204	0.208	0.214	0.221	0.227	0.233	0.238	0.244	0.249
2.00	0.175	0.180	0.185	0.188	0.194	0.201	0.206	0.211	0.216	0.222	0.227

Element	Rh	Pd	Ag	Cd	In	Sn	Sb	Te	I	Xe	Cs
Z	45	46	47	48	49	50	51	52	53	54	55
Method	*RHF	*RHF	RHF	RHF	RHF	RHF	RHF	*RHF	RHF	RHF	RHF
(sin $[\theta]$ )/λ (Å⁻¹)
0.00	9.242	7.583	8.671	9.232	10.434	10.859	10.974	11.003	10.905	10.794	16.508
0.01			8.654	9.213	10.406	10.833	10.950		10.887	10.777	16.391
0.02			8.599	9.153	10.320	10.750	10.876		10.828	10.725	16.050
0.03			8.510	9.057	10.181	10.615	10.755		10.731	10.638	15.521
0.04	8.90	7.43	8.391	8.926	9.995	10.433	10.591	10.65	10.599	10.520	14.855
0.05	8.73	7.35	8.244	8.764	9.768	10.209	10.387	10.47	10.434	10.371	14.106

0.06	8.53	7.26	8.075	8.577	9.509	9.950	10.150	10.25	10.238	10.194	13.326
0.07	8.31	7.16	7.888	8.369	9.224	9.664	9.884	10.01	10.017	9.993	12.556
0.08	8.01	7.03	7.689	8.144	8.923	9.357	9.596	9.74	9.773	9.771	11.823
0.09	7.83	6.91	7.480	7.909	8.612	9.037	9.291	9.46	9.511	9.530	11.145
0.10	7.58	6.77	7.267	7.666	8.297	8.709	8.976	9.16	9.235	9.274	10.525

0.11	7.33	6.62	7.052	7.421	7.983	8.380	8.654	8.85	8.948	9.007	9.965
0.12	7.079	6.474	6.837	7.176	7.674	8.053	8.331	8.538	8.654	8.732	9.458
0.13	6.836	6.319	6.625	6.933	7.374	7.732	8.010	8.224	8.357	8.451	9.000
0.14	6.598	6.162	6.418	6.695	7.084	7.419	7.694	7.914	8.059	8.167	8.583
0.15	6.366	6.003	6.215	6.464	6.805	7.118	7.386	7.608	7.764	7.884	8.201

0.16	6.143	5.843	6.018	6.240	6.539	6.829	7.088	7.309	7.472	7.603	7.848
0.17	5.929	5.684	5.827	6.024	6.286	6.552	6.800	7.018	7.186	7.325	7.519
0.18	5.722	5.526	5.643	5.817	6.045	6.289	6.524	6.738	6.908	7.053	7.212
0.19	5.524	5.369	5.464	5.618	5.817	6.039	6.261	6.467	6.639	6.787	6.922
0.20	5.334	5.214	5.293	5.427	5.601	5.803	6.010	6.209	6.379	6.529	6.649

0.22	4.976	4.913	4.967	5.070	5.203	5.368	5.547	5.727	5.889	6.039	6.143
0.24	4.648	4.626	4.665	4.745	4.846	4.979	5.131	3.291	5.442	5.586	5.684
0.25	4.493	4.487	4.522	4.592	4.682	4.801	4.940	5.090	5.234	5.374	5.471
0.26	4.345	4.352	4.384	4.447	4.525	4.633	4.760	4.899	5.036	5.172	5.268
0.28	4.066	4.093	4.122	4.173	4.236	4.323	4.428	4.548	4.670	4.795	4.890
0.30	3.809	3.850	3.878	3.922	3.973	4.044	4.131	4.234	4.341	4.454	4.547

0.32	3.572	3.622	3.651	3.690	3.734	3.792	3.865	3.952	4.046	4.147	4.235
0.34	3.353	3.408	3.440	3.476	3.515	3.564	3.625	3.700	3.780	3.870	3.953
0.35	3.249	3.306	3.339	3.375	3.412	3.458	3.514	3.583	3.658	3.742	3.822
0.36	3.150	3.208	3.242	3.278	3.313	3.356	3.408	3.472	3.541	3.620	3.697
0.38	2.962	3.022	3.058	3.093	3.127	3.165	3.210	3.265	3.325	3.394	3.465
0.40	2.788	2.848	2.886	2.922	2.955	2.990	3.030	3.078	3.130	3.191	3.255

0.42	2.626	2.686	2.726	2.762	2.795	2.828	2.864	2.907	2.953	3.006	3.064
0.44	2.477	2.535	2.576	2.613	2.646	2.678	2.712	2.750	2.791	2.838	2.890
0.45	2.406	2.464	2.505	2.542	2.576	2.608	2.640	2.677	2.715	2.759	2.809
0.46	2.338	2.395	2.436	2.474	2.507	2.539	2.571	2.606	2.642	2.684	2.731
0.48	2.210	2.264	2.306	2.344	2.378	2.409	2.440	2.473	2.506	2.543	2.586
0.50	2.090	2.143	2.185	2.223	2.257	2.288	2.318	2.350	2.380	2.414	2.453

0.55	1.828	1.875	1.915	1.953	1.987	2.019	2.048	2.077	2.104	2.132	2.163
0.60	1.609	1.650	1.688	1.724	1.758	1.790	1.819	1.847	1.871	1.897	1.923
0.65	1.426	1.462	1.497	1.531	1.563	1.594	1.622	1.649	1.673	1.697	1.721
0.70	1.273	1.304	1.335	1.366	1.397	1.426	1.453	1.479	1.503	1.526	1.548
0.80	1.035	1.058	1.082	1.107	1.132	1.157	1.181	1.205	1.227	1.248	1.269
0.90	0.861	0.879	0.897	0.916	0.936	0.956	0.976	0.997	1.016	1.036	1.055
1.00	0.731	0.745	0.758	0.773	0.789	0.805	0.821	0.838	0.855	0.871	0.888

1.10	0.631	0.641	0.652	0.664	0.676	0.688	0.701	0.715	0.729	0.743	0.758
1.20	0.551	0.559	0.568	0.578	0.587	0.597	0.608	0.619	0.630	0.642	0.654
1.30	0.485	0.493	0.500	0.508	0.516	0.525	0.533	0.542	0.551	0.561	0.570
1.40	0.431	0.437	0.444	0.451	0.458	0.465	0.472	0.480	0.487	0.495	0.502
1.50	0.384	0.391	0.397	0.403	0.409	0.416	0.422	0.428	0.435	0.442	0.450

1.60	0.345	0.351	0.357	0.362	0.368	0.374	0.379	0.385	0.391	0.397	0.405
1.70	0.310	0.316	0.321	0.327	0.332	0.337	0.343	0.348	0.353	0.358	0.363
1.80	0.281	0.286	0.291	0.297	0.302	0.307	0.311	0.316	0.321	0.325	0.332
1.90	0.255	0.260	0.265	0.270	0.274	0.279	0.284	0.288	0.293	0.297	0.299
2.00	0.232	0.237	0.241	0.246	0.250	0.255	0.259	0.264	0.268	0.272	0.272

Element	Ba	La	Ce	Pr	Nd	Pm	Sm	Eu	Gd	Tb	Dy
Z	56	57	58	59	60	61	62	63	64	65	66
Method	RHF	*RHF	*RHF	*RMF	*RHF	*RHF	*RHF	RHF	*RHF	*RHF	*RHF
(sin $[\theta]$ )/λ (Å⁻¹)
0.00	18.267	17.805	17.378	16.987	16.606	16.243	15.897	15.563	15.266	14.974	14.641
0.01	18.157							15.486
0.02	17.828							15.260
0.03	17.309							14.898
0.04	16.636	16.45	16.10	15.62	15.30	14.99	14.70	14.425	14.30	13.90	13.64
0.05	15.854	15.79	15.46	14.94	14.67	14.39	14.12	13.867	13.81	13.37	13.14

0.06	15.008	15.05	14.77	14.22	13.97	13.72	13.48	13.253	13.27	12.81	12.60
0.07	14.138	14.28	14.03	13.47	13.25	13.03	12.81	12.611	12.70	12.22	12.03
0.08	13.278	13.51	13.29	12.72	12.52	12.33	12.14	11.963	12.11	11.62	11.44
0.09	12.431	12.74	12.56	11.99	11.82	11.65	11.49	11.329	11.52	11.02	10.87
0.10	11.675	12.01	11.85	11.29	11.15	11.00	10.86	10.722	10.95	10.45	10.32

0.11	10.958	11.32	11.19	10.65	10.52	10.40	10.27	10.150	10.39	9.91	9.79
0.12	10.302	10.671	10.561	10.052	9.944	9.833	9.722	9.618	9.871	9.407	9.303
0.13	9.707	10.072	9.981	9.506	9.412	9.316	9.218	9.128	9.382	8.942	8.848
0.14	9.168	9.522	9.448	9.008	8.928	8.843	8.758	8.678	8.926	8.512	8.429
0.15	8.682	9.017	8.958	8.556	8.486	8.413	8.336	8.267	8.505	8.121	8.045

0.16	8.241	8.555	8.507	8.144	8.084	8.020	7.953	7.891	8.114	7.761	7.693
0.17	7.840	8.131	8.094	7.768	7.717	7.661	7.602	7.548	7.754	7.430	7.370
0.18	7.474	7.742	7.714	7.424	7.380	7.332	7.280	7.232	7.422	7.128	7.073
0.19	7.139	7.384	7.365	7.107	7.071	7.029	6.983	6.942	7.114	6.849	6.800
0.20	6.829	7.053	7.041	6.815	6.785	6.749	6.710	6.673	6.828	6.591	6.547

0.22	6.275	6.462	6.462	6.291	6.272	6.247	6.218	6.191	6.316	6.127	6.092
0.24	5.791	5.948	5.957	5.831	5.822	5.806	5.787	5.768	5.868	5.720	5.693
0.25	5.570	5.714	5.728	5.620	5.615	5.605	5.589	5.574	5.664	5.534	5.510
0.26	5.361	5.495	5.312	5.421	5.421	5.413	5.402	5.390	5.472	5.358	5.337
0.28	4.975	5.092	5.115	5.053	5.059	5.059	5.055	5.030	5.117	5.030	5.016
0.30	4.628	4.730	4.759	4.719	4.731	4.737	4.739	4.740	4.796	4.731	4.723

0.32	4.313	4.405	4.438	4.414	4.432	4.443	4.450	4.456	4.504	4.457	4.454
0.34	4.028	4.111	4.146	4.136	4.157	4.173	4.185	4.195	4.238	4.205	4.206
0.35	3.893	3.974	4.010	4.006	4.029	4.047	4.060	4.072	4.113	4.086	4.089
0.36	3.769	3.844	3.881	3.882	3.906	3.925	3.940	3.954	3.993	3.971	3.976
0.38	3.533	3.602	3.640	3.648	3.675	3.697	3.715	3.731	3.767	3.755	3.763
0.40	3.318	3.381	3.420	3.434	3.462	3.486	3.306	3.525	3.559	3.554	3.565

0.42	3.123	3.180	3.219	3.238	3.267	3.292	3.314	3.335	3.367	3.368	3.380
0.44	2.944	2.997	3.035	3.057	3.087	3.114	3.137	3.159	3.189	3.194	3.209
0.43	2.861	2.911	2.949	2.973	3.003	3.029	3.053	3.075	3.105	3.113	3.128
0.46	2.781	2.829	2.866	2.891	2.922	2.948	2.973	2.995	3.025	3.034	3.050
0.48	2.631	2.676	2.712	2.739	2.769	2.796	2.821	2.844	2.872	2.884	2.901
0.50	2.494	2.535	2.570	2.598	2.628	2.655	2.680	2.703	2.730	2.745	2.763

0.55	2.197	2.230	2.262	2.291	2.320	2.346	2.371	2.394	2.419	2.457	2.456
0.60	1.951	1.979	2.008	2.037	2.064	2.089	2.113	2.156	2.138	2.178	2.197
0.65	1.745	1.770	1.796	1.824	1.849	1.872	1.895	1.917	1.937	1.958	1.977
0.70	1.570	1.592	1.617	1.643	1.666	1.688	1.709	1.730	1.749	1.770	1.788
0.80	1.288	1.308	1.329	1.351	1.372	1.391	1.411	1.429	1.446	1.465	1.482
0.90	1.073	1.090	1.109	1.128	1.146	1.164	1.181	1.198	1.213	1.231	1.246
1.00	0.904	0.920	0.936	0.953	0.969	0.985	1.000	1.016	1.030	1.045	1.060

1.10	0.772	0.785	0.799	0.814	0.828	0.842	0.856	0.870	0.883	0.897	0.910
1.20	0.666	0.678	0.690	0.702	0.715	0.727	0.739	0.752	0.763	0.776	0.787
1.30	0.580	0.391	0.602	0.612	0.623	0.634	0.644	0.655	0.666	0.676	0.687
1.40	0.511	0.521	0.530	0.539	0.548	0.557	0.566	0.575	0.383	0.595	0.604
1.50	0.436	0.463	0.470	0.478	0.486	0.494	0.502	0.511	0.519	0.527	0.535

1.60	0.411	0.415	0.421	0.428	0.435	0.442	0.449	0.457	0.463	0.470	0.478
1.70	0.367	0.374	0.380	0.386	0.392	0.398	0.404	0.409	0.416	0.423	0.429
1.80	0.337	0.340	0.345	0.350	0.355	0.360	0.366	0.372	0.377	0.382	0.388
1.90	0.304	0.310	0.314	0.319	0.324	0.328	0.333	0.337	0.343	0.348	0.353
2.00	0.277	0.284	0.288	0.292	0.296	0.301	0.305	0.307	0.313	0.318	0.322

Element	Ho	Er	Tm	Yb	Lu	Hf	Ta	W	Re	Os	Ir
Z	67	68	69	70	71	72	73	74	75	76	77
Method	*RHF	*RHF	*RHF	*RHF	*RHF	*RHF	*RHF	*RHF	*RHF	*RHF	*RHF
(sin $[\theta]$ )/λ (Å⁻¹)
0.00	14.355	14.080	13.814	13.557	13.486	13.177	12.856	12.543	12.263	11.987	11.718
0.01
0.02
0.03
0.04	13.57	13.16	12.92	12.70	12.74	12.55	12.31	12.06	11.83	11.59	11.37
0.05	13.14	12.70	12.48	12.28	12.38	12.23	12.01	11.80	11.60	11.39	11.18

0.06	12.66	12.19	12.00	11.81	11.95	11.85	11.69	11.51	11.34	11.15	10.96
0.07	12.15	11.66	11.48	11.31	11.50	11.45	11.33	11.18	11.04	10.88	10.72
0.08	11.61	11.11	10.96	10.80	11.03	11.02	10.95	10.83	10.73	10.59	10.45
0.09	11.08	10.58	10.44	10.29	10.55	10.59	10.55	10.47	10.40	10.29	10.17
0.10	10.55	10.06	9.93	9.80	10.08	10.16	10.15	10.10	10.05	9.98	9.88

0.11	10.05	9.56	9.45	9.33	9.62	9.73	9.75	9.74	9.71	9.65	9.58
0.12	9.562	9.095	8.994	8.892	9.180	9.308	9.363	9.369	9.366	9.334	9.281
0.13	9.108	8.662	8.571	8.480	8.762	8.907	8.982	9.011	9.028	9.016	8.982
0.14	8.681	8.262	8.180	8.098	8.370	8.525	8.616	8.663	8.697	8.702	8.686
0.15	8.284	7.895	7.821	7.746	8.001	8.163	8.266	8.327	8.376	8.396	8.395

0.16	7.917	7.557	7.490	7.421	7.660	7.822	7.933	8.006	8.067	8.099	8.111
0.17	7.577	7.247	7.185	7.123	7.343	7.502	7.617	7.699	7.769	7.813	7.836
0.18	7.262	6.962	6.905	6.849	7.047	7.202	7.321	7.408	7.485	7.537	7.570
0.19	6.971	6.698	6.646	6.595	6.774	6.922	7.040	7.132	7.213	7.272	7.313
0.20	6.700	6.454	6.407	6.360	6.520	6.660	6.776	6.870	6.954	7.019	7.067

0.22	6.213	6.017	5.978	5.938	6.063	6.185	6.295	6.388	6.475	6.547	6.604
0.24	5.788	5.632	5.601	5.568	5.664	5.768	5.867	5.957	6.043	6.117	6.180
0.25	5.595	5.457	5.428	5.398	5.483	5.578	5.672	5.759	5.843	5.917	5.982
0.26	5.412	5.290	5.265	5.238	5.312	5.399	5.487	5.571	5.653	5.727	5.792
0.28	5.075	4.981	4.961	4.940	4.996	5.069	5.147	5.224	5.301	5.372	5.437
0.30	4.771	4.699	4.685	4.669	4.712	4.772	4.840	4.910	4.981	5.049	5.113

0.32	4.494	4.440	4.430	4.419	4.453	4.503	4.563	4.626	4.691	4.755	4.816
0.34	4.240	4.200	4.195	4.188	4.215	4.258	4.310	4.366	4.425	4.485	4.543
0.35	4.121	4.087	4.084	4.078	4.103	4.143	4.191	4.245	4.301	4.359	4.415
0.36	4.007	3.978	3.976	3.973	3.996	4.033	4.078	4.129	4.182	4.237	4.293
0.38	3.790	3.771	3.773	3.773	3.793	3.825	3.865	3.910	3.959	4.010	4.061
0.40	3.591	3.579	3.583	3.586	3.604	3.632	3.668	3.709	3.753	3.800	3.848

0.42	3.405	3.399	3.406	3.411	3.429	3.454	3.486	3.523	3.563	3.606	3.651
0.44	3.233	3.232	3.241	3.248	3.265	3.288	3.317	3.350	3.387	3.427	3.468
0.45	3.151	3.153	3.162	3.170	3.187	3.209	3.237	3.269	3.304	3.342	3.382
0.46	3.073	3.076	3.086	3.095	3.111	3.133	3.159	3.190	3.224	3.260	3.299
0.48	2.924	2.930	2.942	2.952	2.968	2.988	3.013	3.041	3.072	3.105	3.141
0.50	2.785	2.793	2.806	2.818	2.834	2.853	2.876	2.902	2.930	2.961	2.994

0.55	2.477	2.490	2.505	2.518	2.534	2.551	2.571	2.592	2.616	2.641	2.669
0.60	2.216	2.232	2.248	2.263	2.278	2.294	2.311	2.330	2.349	2.371	2.394
0.65	1.995	2.012	2.028	2.043	2.058	2.073	2.089	2.105	2.122	2.140	2.160
0.70	1.085	1.823	1.839	1.854	1.868	1.882	1.896	1.911	1.926	1.942	1.959
0.80	1.497	1.515	1.530	1.545	1.558	1.571	1.583	1.596	1.608	1.621	1.634
0.90	1.260	1.276	1.291	1.305	1.317	1.329	1.341	1.352	1.363	1.374	1.385
1.00	1.073	1.088	1.101	1.114	1.126	1.138	1.148	1.159	1.169	1.179	1.189

1.10	0.922	0.935	0.948	0.960	0.971	0.982	0.993	1.003	1.012	1.022	1.031
1.20	0.799	0.811	0.822	0.833	0.844	0.854	0.864	0.874	0.883	0.892	0.901
1.30	0.698	0.708	0.719	0.729	0.739	0.748	0.758	0.767	0.776	0.784	0.793
1.40	0.614	0.623	0.632	0.642	0.651	0.660	0.668	0.677	0.685	0.694	0.702
1.50	0.544	0.552	0.560	0.569	0.577	0.585	0.593	0.601	0.609	0.617	0.624

1.60	0.485	0.492	0.500	0.507	0.515	0.522	0.530	0.537	0.544	0.551	0.558
1.70	0.436	0.442	0.449	0.455	0.462	0.469	0.475	0.482	0.489	0.495	0.502
1.80	0.394	0.399	0.405	0.411	0.417	0.423	0.429	0.435	0.441	0.447	0.453
1.90	0.358	0.363	0.368	0.373	0.379	0.384	0.389	0.395	0.400	0.406	0.411
2.00	0.327	0.331	0.336	0.341	0.345	0.350	0.355	0.360	0.365	0.370	0.374

Element	Pt	Au	Hg	Tl	Pb	Bi	Po	At	Rn	Fr	Ra
Z	78	79	80	81	82	83	84	85	86	87	88
Method	*RHF	RHF	RHF	*RHF	RHF	RHF	*RHF	*RHF	RHF	*RHF	*RHF
(sin $[\theta]$ )/λ (Å⁻¹)
0.00	10.813	10.573	10.964	12.109	12.597	13.096	13.368	13.473	13.492	18.715	20.561
0.01		10.559	10.948		12.573	13.070			13.470
0.02		10.511	10.897		12.494	12.989			13.403
0.03		10.434	10.813		12.366	12.857			13.292
0.04	10.55	10.328	10.698	11.71	12.193	12.678	12.95	13.09	13.139	17.14	18.94
0.05	10.40	10.195	10.555	11.51	11.979	12.456	12.74	12.89	12.949	16.41	18.15

0.06	10.23	10.040	10.387	11.27	11.730	12.197	12.49	12.65	12.724	15.64	17.31
0.07	10.03	9.865	10.197	11.00	11.454	11.908	12.21	12.38	12.469	14.87	16.42
0.08	9.82	9.673	9.989	10.72	11.155	11.595	11.90	12.08	12.187	14.13	15.54
0.09	9.60	9.467	9.766	10.42	10.840	11.264	11.57	11.76	11.884	13.42	14.69
0.10	9.37	9.251	9.533	10.12	10.516	10.921	11.22	11.43	11.565	12.77	13.88

0.11	9.13	9.028	9.291	9.81	10.186	10.571	10.87	11.08	11.232	12.16	13.12
0.12	8.882	8.799	9.045	9.500	9.855	10.219	10.509	10.729	10.892	11.605	12.419
0.13	8.636	8.568	8.796	9.195	9.527	9.869	10.153	10.375	10.546	11.093	11.776
0.14	8.389	8.337	8.547	8.896	9.203	9.523	9.798	10.021	10.199	10.620	11.187
0.15	8.145	8.106	8.299	8.603	8.888	9.186	9.449	9.671	9.854	10.180	10.648

0.16	7.904	7.877	8.055	8.320	8.581	8.857	9.109	9.328	9.512	9.770	10.155
0.17	7.667	7.652	7.815	8.046	8.285	8.539	8.779	8.991	9.177	9.386	9.702
0.18	7.436	7.431	7.579	7.781	7.999	8.233	8.459	8.666	8.849	9.023	9.285
0.19	7.210	7.214	7.350	7.526	7.724	7.939	8.151	8.350	8.531	8.681	8.899
0.20	6.991	7.003	7.128	7.282	7.461	7.658	7.856	8.046	8.223	8.356	8.540

0.22	6.572	6.598	6.702	6.822	6.969	7.132	7.303	3.474	7.639	7.754	7.891
0.24	6.181	6.216	6.305	6.399	6.520	6.654	6.800	6.952	7.102	7.208	7.318
0.25	5.995	6.035	6.116	6.201	6.310	6.432	6.567	6.709	6.852	6.954	7.055
0.26	5.817	5.859	5.934	6.011	6.110	6.221	6.345	6.477	6.612	6.712	6.807
0.28	5.478	5.525	5.591	5.654	5.736	5.828	5.933	6.047	6.166	6.261	6.347
0.30	5.164	5.214	5.272	5.327	5.395	5.472	5.560	5.658	5.762	5.852	5.931

0.32	4.873	4.924	4.976	5.025	5.083	5.148	5.222	5.305	5.397	5.480	5.555
0.34	4.603	4.654	4.702	4.746	4.797	4.852	4.915	4.987	5.065	5.141	5.212
0.35	4.475	4.526	4.572	4.614	4.662	4.714	4.772	4.838	4.912	4.984	5.053
0.36	4.352	4.403	4.447	4.488	4.533	4.581	4.636	4.697	4.765	4.834	4.900
0.38	4.120	4.169	4.211	4.249	4.290	4.333	4.380	4.433	4.492	4.555	4.616
0.40	3.905	3.952	3.991	4.028	4.066	4.104	4.146	4.192	4.244	4.300	4.356

0.42	3.704	3.750	3.787	3.823	3.858	3.893	3.931	3.972	4.017	4.067	4.118
0.44	3.518	3.562	3.597	3.632	3.665	3.698	3.732	3.769	3.808	3.854	3.901
0.45	3.430	3.472	3.507	3.541	3.573	3.606	3.639	3.673	3.711	3.754	3.798
0.46	3.345	3.386	3.420	3.454	3.485	3.517	3.548	3.582	3.617	3.658	3.700
0.48	3.184	3.223	3.256	3.288	3.318	3.348	3.378	3.408	3.441	3.477	3.516
0.50	3.034	3.070	3.102	3.133	3.162	3.191	3.219	3.248	3.277	3.311	3.346

0.55	2.701	2.732	2.760	2.789	2.816	2.842	2.868	2.893	2.918	2.945	2.974
0.60	2.420	2.446	2.471	2.497	2.522	2.546	2.570	2.593	2.616	2.639	2.663
0.65	2.181	2.203	2.225	2.248	2.271	2.293	2.315	2.337	2.358	2.378	2.399
0.70	1.976	1.995	2.015	2.035	2.055	2.076	2.096	2.116	2.135	2.154	2.173
0.80	1.647	1.661	1.676	1.692	1.708	1.725	1.742	1.758	1.775	1.791	1.808
0.90	1.396	1.407	1.419	1.431	1.444	1.457	1.471	1.485	1.499	1.513	1.527
1.00	1.198	1.208	1.218	1.228	1.239	1.249	1.260	1.272	1.283	1.295	1.307

1.10	1.040	1.048	1.057	1.066	1.075	1.084	1.093	1.102	1.112	1.122	1.132
1.20	0.909	0.918	0.926	0.934	0.942	0.949	0.957	0.965	0.974	0.982	0.990
1.30	0.801	0.809	0.816	0.824	0.831	0.838	0.846	0.853	0.860	0.867	0.874
1.40	0.709	0.717	0.724	0.731	0.738	0.745	0.752	0.758	0.765	0.771	0.778
1.50	0.632	0.639	0.646	0.653	0.659	0.666	0.672	0.678	0.684	0.690	0.696

1.60	0.565	0.572	0.579	0.585	0.591	0.598	0.603	0.609	0.615	0.621	0.626
1.70	0.508	0.514	0.521	0.527	0.533	0.538	0.544	0.550	0.555	0.561	0.566
1.80	0.459	0.465	0.471	0.476	0.482	0.488	0.493	0.498	0.503	0.508	0.513
1.90	0.416	0.422	0.427	0.432	0.438	0.443	0.448	0.453	0.458	0.463	0.468
2.00	0.379	0.384	0.389	0.394	0.399	0.404	0.409	0.413	0.418	0.423	0.427

Element	Ac	Th	Pa	U	Np	Pu	Am	Cm	Bk	Cf
Z	89	90	91	92	93	94	95	96	97	98
Method	*RHF	*RHF	*RHF	RHF	*RHF	*RHF	*RHF	*RHF	*RHF	*RHF
(sin $[\theta]$ )/λ (Å⁻¹)
0.00	20.484	20.115	19.568	19.119	18.759	18.191	17.840	17.710	17.406	16.841
0.01				19.047
0.02				18.825
0.03				18.470
0.04	19.10	18.92	18.37	17.999	17.70	17.10	16.80	16.80	16.53	16.28
0.05	18.41	18.33	17.77	17.436	17.16	16.55	16.28	16.33	16.08	15.85

0.06	17.64	17.66	17.11	16.805	16.55	15.95	15.70	15.80	15.58	15.37
0.07	16.84	16.93	16.39	16.131	15.91	15.31	15.09	15.24	15.04	14.84
0.08	16.01	16.19	15.66	15.436	15.25	14.65	14.47	14.66	14.48	14.30
0.09	15.19	15.43	14.92	14.738	14.58	14.00	13.84	14.06	13.91	13.75
0.10	14.40	14.68	14.20	14.052	13.92	13.37	13.24	13.47	13.33	13.20

0.11	13.64	13.95	13.51	13.389	13.28	12.76	12.65	12.90	12.78	12.66
0.12	12.923	13.255	12.850	12.756	12.665	12.191	12.095	12.344	12.241	12.135
0.13	12.253	12.594	12.228	12.157	12.085	11.653	11.572	11.817	11.729	11.637
0.14	11.632	11.972	11.646	11.595	11.540	11.149	11.083	11.319	11.243	11.164
0.15	11.058	11.388	11.102	11.069	11.029	10.679	10.626	10.848	10.784	10.716

0.16	10.528	10.845	10.597	10.579	10.551	10.243	10.200	10.407	10.353	10.294
0.17	10.038	10.339	10.128	10.122	10.104	9.836	9.803	9.993	9.948	9.898
0.18	9.586	9.868	9.691	9.696	9.688	9.457	9.433	9.605	9.568	9.527
0.19	9.168	9.430	9.285	9.299	9.300	9.102	9.086	9.241	9.212	9.178
0.20	8.780	9.022	8.906	8.928	8.936	8.770	8.760	8.900	8.878	8.850

0.22	8.083	8.287	8.221	8.254	8.275	8.163	8.164	8.277	8.266	8.249
0.24	7.474	7.645	7.617	7.659	7.689	7.619	7.631	7.721	7.720	7.713
0.25	7.196	7.353	7.341	7.387	7.420	7.368	7.384	7.465	7.468	7.466
0.26	6.935	7.079	7.081	7.129	7.165	7.129	7.148	7.222	7.229	7.231
0.28	6.455	6.578	6.600	6.652	6.694	6.683	6.708	6.770	6.784	6.793
0.30	6.025	6.129	6.167	6.221	6.266	6.274	6.304	6.358	6.378	6.393

0.32	5.637	5.727	5.775	5.830	5.878	5.899	5.933	5.981	6.006	6.026
0.34	5.285	5.364	5.418	5.473	5.523	5.553	5.591	5.635	5.664	5.687
0.35	5.122	5.196	5.252	5.307	5.357	5.391	5.429	5.472	5.502	5.528
0.36	4.966	5.036	5.093	5.148	5.197	5.235	5.274	5.316	5.347	5.374
0.38	4.675	4.738	4.796	4.850	4.899	4.940	4.981	5.021	5.055	5.084
0.40	4.410	4.466	4.524	4.576	4.625	4.669	4.710	4.749	4.784	4.815

0.42	4.168	4.218	4.275	4.325	4.372	4.417	4.459	4.497	4.532	4.565
0.44	3.946	3.992	4.046	4.094	4.140	4.185	4.226	4.263	4.299	4.333
0.45	3.842	3.885	3.938	3.985	4.030	4.076	4.116	4.152	4.189	4.222
0.46	3.742	3.784	3.835	3.881	3.925	3.970	4.010	4.046	4.082	4.116
0.48	3.554	3.592	3.641	3.685	3.727	3.771	3.810	3.844	3.880	3.914
0.50	3.381	3.416	3.462	3.503	3.543	3.586	3.624	3.657	3.693	3.726

0.55	3.003	3.032	3.071	3.106	3.141	3.179	3.213	3.244	3.277	3.309
0.60	2.687	2.712	2.744	2.775	2.805	2.839	2.869	2.897	2.927	2.957
0.65	2.421	2.442	2.470	2.495	2.522	2.551	2.578	2.603	2.630	2.657
0.70	2.193	2.212	2.235	2.257	2.280	2.306	2.330	2.352	2.376	2.400
0.80	1.824	1.840	1.857	1.875	1.893	1.912	1.930	1.949	1.968	1.987
0.90	1.541	1.554	1.568	1.582	1.597	1.611	1.626	1.641	1.657	1.673
1.00	1.318	1.330	1.342	1.353	1.365	1.377	1.389	1.402	1.415	1.427

1.10	1.142	1.152	1.161	1.171	1.181	1.191	1.201	1.212	1.222	1.233
1.20	0.999	1.007	1.016	1.024	1.033	1.041	1.049	1.058	1.067	1.076
1.30	0.882	0.889	0.896	0.904	0.911	0.918	0.926	0.933	0.941	0.948
1.40	0.784	0.791	0.797	0.803	0.810	0.816	0.823	0.830	0.836	0.843
1.50	0.702	0.708	0.714	0.720	0.725	0.731	0.737	0.743	0.748	0.754

1.60	0.632	0.637	0.643	0.649	0.653	0.659	0.664	0.669	0.674	0.679
1.70	0.571	0.576	0.581	0.585	0.591	0.596	0.601	0.606	0.611	0.165
1.80	0.518	0.523	0.528	0.534	0.537	0.542	0.547	0.551	0.555	0.560
1.90	0.472	0.477	0.481	0.485	0.490	0.495	0.499	0.503	0.507	0.511
2.00	0.432	0.436	0.440	0.443	0.449	0.453	0.457	0.461	0.465	0.469

Table 4.3.1.2| top | pdf |
Atomic scattering amplitudes (Å) for electrons for ionized atoms

A discussion of the values quoted here for s = 0 is given in Subsection 4.3.1.6 . Self-consistent field calculations: HF: non-relativistic Hartree–Fock; DS: modified Dirac–Slater; RHF, *RHF: relativistic Hartree–Fock.

Element	H¹⁻	Li¹⁺	Be²⁺	O¹⁻	F¹⁻	Na¹⁺	Mg²⁺	Al³⁺	Si⁴⁺	Cl¹⁻	K¹⁺
Z	1	3	4	8	9	11	12	13	14	17	19
Method	HF	RHF	RHF	HF	HF	RHF	RHF	HF	HF	RHF	RHF
(sin $[\theta]$ )/λ (Å⁻¹)
0.00		0.157	0.082			1.130	0.831			6.770	3.436
0.01		239.497	478.762			240.469	479.511			−232.585	242.773
0.02		59.992	119.752			60.963	120.500			−53.125	63.260
0.03		26.750	53.268			27.719	54.015			−19.957	30.004
0.04	−12.00	15.115	29.999	−11.74	−12.21	16.081	30.745	45.52	60.34	−8.423	18.349
0.05	−6.78	9.730	19.229	−6.41	−6.85	10.692	19.972	29.36	38.80	−3.162	12.939

0.06	−4.03	6.804	13.378	−3.55	−3.97	7.762	14.119	20.58	27.10	−0.381	9.983
0.07	−2.45	5.040	9.850	−1.86	−2.25	5.993	10.589	15.29	20.05	1.219	8.184
0.08	−1.48	3.894	7.560	−0.79	−1.16	4.841	8.296	11.85	15.46	2.187	6.999
0.09	−0.87	3.109	5.990	−0.09	−0.43	4.049	6.722	9.49	12.32	2.783	6.169
0.10	−0.47	2.546	4.867	0.39	0.08	3.480	5.595	7.81	10.08	3.147	5.559

0.11	−0.20	2.130	4.036	0.72	0.43	3.056	4.760	6.56	8.41	3.361	5.092
0.12	−0.023	1.813	3.404	0.949	0.688	2.731	4.123	5.610	7.147	3.472	4.720
0.13	0.095	1.567	2.912	1.107	0.870	2.475	3.626	4.868	6.162	3.513	4.416
0.14	0.173	1.370	2.522	1.215	1.000	2.269	3.230	4.280	5.379	3.504	4.160
0.15	0.224	1.212	2.207	1.285	1.092	2.100	2.909	3.804	4.747	3.461	3.939

0.16	0.257	1.082	1.949	1.329	1.157	1.960	2.645	3.413	4.230	3.393	3.745
0.17	0.276	0.974	1.735	1.352	1.200	1.841	2.425	3.089	3.800	3.308	3.571
0.18	0.286	0.883	1.556	1.359	1.226	1.738	2.239	2.817	3.440	3.211	3.414
0.19	0.288	0.806	1.404	1.355	1.239	1.650	2.081	2.585	3.135	3.108	3.269
0.20	0.287	0.740	1.274	1.343	1.242	1.571	1.944	2.387	2.873	3.000	3.135

0.22	0.276	0.634	1.066	1.300	1.228	1.440	1.720	2.066	2.451	2.779	2.893
0.24	0.259	0.552	0.907	1.243	1.194	1.332	1.546	1.819	2.129	2.563	2.676
0.25	0.250	0.518	0.841	1.212	1.173	1.284	1.472	1.716	1.995	2.458	2.575
0.26	0.240	0.487	0.783	1.179	1.150	1.240	1.406	1.624	1.876	2.357	2.479
0.28	0.221	0.435	0.685	1.112	1.099	1.161	1.290	1.466	1.674	2.165	2.300
0.30	0.203	0.393	0.605	1.046	1.046	1.092	1.193	1.336	1.509	1.988	2.135

0.32	0.186	0.357	0.539	0.981	0.992	1.029	1.110	1.228	1.372	1.827	1.983
0.34	0.170	0.327	0.485	0.918	0.939	0.972	1.038	1.136	1.257	1.680	1.843
0.35	0.163	0.314	0.461	0.889	0.912	0.946	1.005	1.094	1.206	1.613	1.778
0.36	0.156	0.301	0.439	0.860	0.887	0.920	0.974	1.056	1.159	1.548	1.715
0.38	0.143	0.279	0.400	0.804	0.837	0.872	0.917	0.987	1.075	1.429	1.596
0.40	0.132	0.259	0.366	0.753	0.789	0.827	0.866	0.925	1.001	1.322	1.488

0.42	0.122	0.242	0.337	0.704	0.744	0.785	0.820	0.871	0.937	1.226	1.388
0.44	0.112	0.227	0.312	0.660	0.702	0.746	0.777	0.822	0.880	1.139	1.296
0.45	0.108	0.220	0.300	0.639	0.682	0.727	0.757	0.799	0.853	1.099	1.253
0.46	0.104	0.213	0.290	0.618	0.662	0.709	0.738	0.778	0.829	1.061	1.212
0.48	0.096	0.200	0.270	0.580	0.625	0.675	0.701	0.737	0.783	0.991	1.135
0.50	0.090	0.189	0.252	0.544	0.590	0.642	0.668	0.701	0.741	0.928	1.064

0.55	0.075	0.165	0.216	0.467	0.512	0.569	0.593	0.620	0.652	0.796	0.912
0.60	0.064	0.145	0.188	0.403	0.446	0.506	0.529	0.553	0.580	0.691	0.789
0.65	0.055	0.129	0.165	0.351	0.391	0.451	0.474	0.496	0.519	0.608	0.690
0.70	0.048	0.115	0.146	0.307	0.345	0.403	0.426	0.447	0.468	0.541	0.609
0.80	0.037	0.093	0.118	0.241	0.272	0.325	0.347	0.367	0.385	0.439	0.488
0.90	0.029	0.077	0.097	0.193	0.219	0.266	0.286	0.305	0.321	0.366	0.402
1.00	0.024	0.064	0.081	0.159	0.180	0.221	0.239	0.256	0.271	0.311	0.338

1.10	0.020	0.054	0.069	0.133	0.150	0.185	0.201	0.217	0.231	0.267	0.290
1.20	0.017	0.046	0.059	0.113	0.128	0.157	0.172	0.186	0.198	0.232	0.252
1.30	0.014	0.040	0.052	0.097	0.110	0.135	0.148	0.160	0.172	0.202	0.221
1.40	0.012	0.035	0.045	0.085	0.095	0.118	0.129	0.140	0.150	0.178	0.195
1.50	0.011	0.031	0.040	0.075	0.084	0.103	0.113	0.123	0.132	0.158	0.173

1.60		0.027	0.035			0.091	0.100			0.141	0.155
1.70		0.024	0.032			0.081	0.089			0.126	0.139
1.80		0.022	0.028			0.073	0.080			0.113	0.125
1.90		0.020	0.026			0.066	0.072			0.102	0.114
2.00		0.018	0.023			0.060	0.065			0.093	0.103

Element	Ca²⁺	Sc³⁺	Ti²⁺	Ti³⁺	Ti⁴⁺	V²⁺	V³⁺	V⁵⁺	Cr²⁺	Cr³⁺	Mn²⁺
Z	20	21	22	22	22	23	23	23	24	24	25
Method	RHF	HF	HF	HF	HF	RHF	HF	HF	HF	HF	RHF
(sin $[\theta]$ )/λ (Å⁻¹)
0.00	2.711					2.904					2.846
0.01	481.390					481.582					481.525
0.02	122.375					122.566					122.510
0.03	55.883					56.074					56.018
0.04	32.602	47.08	32.80	47.15	61.67	32.791	47.18	76.36	32.79	47.19	32.738
0.05	21.817	30.91	22.01	30.98	40.13	22.005	31.02	49.43	22.00	31.03	21.953

0.06	15.948	22.13	16.14	22.19	28.42	16.134	22.23	34.80	16.13	22.24	16.085
0.07	12.399	16.82	12.59	16.89	21.35	12.583	16.92	25.98	12.58	16.93	12.537
0.08	10.085	13.37	10.27	13.44	16.77	10.267	13.47	20.24	10.26	13.48	10.225
0.09	8.489	11.00	8.67	11.07	13.62	8.668	11.10	16.31	8.67	11.11	8.630
0.10	7.336	9.30	7.52	9.36	11.36	7.514	9.39	13.49	7.51	9.41	7.479

0.11	6.473	8.03	6.65	8.09	9.68	6.648	8.13	11.41	6.65	8.14	6.618
0.12	5.807	7.057	5.977	7.120	8.400	5.980	7.155	9.815	5.983	7.172	5.954
0.13	5.279	6.295	5.444	6.359	7.400	5.449	6.394	8.574	5.455	6.410	5.428
0.14	4.850	5.684	5.011	5.747	6.603	5.018	5.782	7.584	5.026	5.800	5.002
0.15	4.495	5.185	4.653	5.247	5.954	4.661	5.284	6.784	4.671	5.302	4.650

0.16	4.196	4.770	4.349	4.832	5.418	4.360	4.868	6.126	4.372	4.888	4.353
0.17	3.939	4.421	4.089	4.481	4.971	4.102	4.518	5.577	4.116	4.539	4.100
0.18	3.716	4.121	3.863	4.182	4.591	3.877	4.220	5.113	3.894	4.242	3.880
0.19	3.519	3.863	3.663	3.923	4.266	3.679	3.961	4.719	3.698	3.984	3.686
0.20	3.343	3.637	3.485	3.697	3.984	3.503	3.735	4.378	3.523	3.759	3.514

0.22	3.041	3.259	3.178	3.318	3.520	3.200	3.358	3.824	3.224	3.384	3.220
0.24	2.787	2.953	2.920	3.012	3.155	2.946	3.053	3.391	2.973	3.081	2.975
0.25	2.674	2.821	2.806	2.879	2.998	2.833	2.921	3.209	2.862	2.950	2.865
0.26	2.568	2.699	2.699	2.757	2.857	2.727	2.799	3.045	2.758	2.830	2.764
0.28	2.376	2.482	2.504	2.540	2.610	2.536	2.584	2.761	2.569	2.616	2.579
0.30	2.204	2.294	2.331	2.352	2.399	2.365	2.396	2.524	2.401	2.430	2.415

0.32	2.049	2.128	2.174	2.185	2.217	2.211	2.231	2.322	2.249	2.266	2.266
0.34	1.907	1.980	2.032	2.037	2.057	2.071	2.073	2.147	2.111	2.120	2.131
0.35	1.842	1.911	1.966	1.968	1.984	2.005	2.015	2.068	2.046	2.053	2.068
0.36	1.778	1.846	1.903	1.903	1.915	1.943	1.950	1.994	1.984	1.988	2.007
0.38	1.660	1.725	1.783	1.781	1.788	1.825	1.829	1.858	1.867	1.868	1.893
0.40	1.551	1.614	1.673	1.670	1.673	1.716	1.718	1.736	1.759	1.758	1.787

0.42	1.451	1.512	1.572	1.568	1.569	1.615	1.616	1.627	1.659	1.657	1.688
0.44	1.359	1.419	1.478	1.474	1.473	1.522	1.522	1.528	1.566	1.563	1.597
0.45	1.316	1.375	1.433	1.429	1.428	1.477	1.477	1.481	1.522	1.519	1.553
0.46	1.274	1.333	1.391	1.387	1.385	1.435	1.434	1.437	1.480	1.476	1.511
0.48	1.196	1.253	1.310	1.306	1.304	1.354	1.354	1.354	1.399	1.395	1.432
0.50	1.124	1.180	1.235	1.232	1.229	1.279	1.279	1.277	1.324	1.320	1.357

0.55	0.967	1.019	1.070	1.068	1.066	1.113	1.113	1.110	1.156	1.154	1.190
0.60	0.838	0.886	0.933	0.931	0.930	0.973	0.974	0.971	1.015	1.013	1.049
0.65	0.733	0.776	0.818	0.817	0.816	0.856	0.857	0.855	0.895	0.894	0.928
0.70	0.647	0.685	0.722	0.722	0.721	0.757	0.758	0.756	0.793	0.792	0.824
0.80	0.515	0.544	0.574	0.574	0.574	0.602	0.603	0.603	0.632	0.632	0.659
0.90	0.422	0.444	0.467	0.467	0.467	0.490	0.491	0.491	0.515	0.515	0.538
1.00	0.354	0.371	0.389	0.389	0.389	0.408	0.408	0.408	0.427	0.427	0.446

1.10	0.302	0.316	0.331	0.331	0.330	0.345	0.346	0.345	0.361	0.361	0.377
1.20	0.262	0.273	0.285	0.285	0.285	0.297	0.297	0.297	0.310	0.310	0.323
1.30	0.230	0.239	0.249	0.249	0.249	0.259	0.259	0.259	0.270	0.270	0.280
1.40	0.203	0.211	0.220	0.220	0.219	0.228	0.228	0.228	0.237	0.237	0.246
1.50	0.180	0.188	0.195	0.195	0.195	0.203	0.203	0.202	0.211	0.211	0.218

1.60	0.161					0.181					0.195
1.70	0.145					0.163					0.175
1.80	0.131					0.148					0.159
1.90	0.119					0.134					0.144
2.00	0.108					0.123					0.132

Element	Mn³⁺	Mn⁴⁺	Fe²⁺	Fe³⁺	Co²⁺	Co³⁺	Ni²⁺	Ni³⁺	Cu¹⁺	Cu²⁺	Zn²⁺
Z	25	25	26	26	27	27	28	28	29	29	30
Method	HF	HF	RHF	RHF	RHF	HF	RHF	HF	RHF	HF	RHF
(sin $[\theta]$ )/λ (Å⁻¹)
0.00			2.802	2.298	2.754		2.703		3.280		2.599
0.01			481.481	720.318	481.433		481.382		242.618		481.278
0.02			122.467	181.800	122.419		122.368		63.107		122.265
0.03			55.976	82.070	55.928		55.878		29.855		55.776
0.04	47.18	61.76	32.696	47.160	32.650	47.15	32.600	47.12	18.206	32.55	32.499
0.05	31.02	40.22	21.913	30.996	21.867	30.98	21.819	30.96	12.803	21.77	21.719

0.06	22.23	28.51	16.046	22.210	16.002	22.20	15.955	22.17	9.856	15.90	15.857
0.07	16.93	21.44	12.500	16.907	12.457	16.90	12.411	16.87	8.066	12.36	12.316
0.08	13.48	16.85	10.189	13.459	10.148	13.45	10.103	13.43	6.893	10.06	10.011
0.09	11.11	13.70	8.596	11.089	8.556	11.08	8.513	11.06	6.076	8.47	8.424
0.10	9.41	11.45	7.447	9.388	7.409	9.38	7.368	9.36	5.479	7.33	7.282

0.11	8.14	9.77	6.588	8.124	6.553	8.12	6.513	8.10	5.027	6.47	6.430
0.12	7.174	8.492	5.926	7.156	5.893	7.150	5.856	7.132	4.671	5.817	5.776
0.13	6.413	7.492	5.403	6.398	5.371	6.393	5.336	6.376	4.383	5.299	5.260
0.14	5.804	6.695	4.979	5.790	4.950	5.787	4.917	5.770	4.144	4.883	4.845
0.15	5.307	6.047	4.629	5.294	4.603	5.293	4.572	5.277	3.942	4.540	4.504

0.16	4.894	5.514	4.335	4.884	4.311	4.883	4.283	4.869	3.766	4.253	4.219
0.17	4.547	5.068	4.084	4.538	4.063	4.538	4.036	4.526	3.612	4.009	3.976
0.18	4.251	4.689	3.867	4.243	3.847	4.245	3.824	4.234	3.474	3.799	3.768
0.19	3.995	4.366	3.676	3.989	3.659	3.993	3.638	3.983	3.349	3.615	3.586
0.20	3.771	4.086	3.506	3.767	3.492	3.772	3.473	3.764	3.234	3.453	3.426

0.22	3.399	3.625	3.217	3.397	3.207	3.405	3.193	3.400	3.030	3.178	3.154
0.24	3.099	3.262	2.976	3.100	2.971	3.111	2.961	3.109	2.851	2.950	2.930
0.25	2.969	3.108	2.869	2.972	2.866	2.984	2.858	2.984	2.769	2.850	2.831
0.26	2.850	2.968	2.769	2.855	2.768	2.868	2.763	2.869	2.690	2.757	2.740
0.28	2.639	2.723	2.589	2.646	2.592	2.662	2.590	2.666	2.544	2.588	2.574
0.30	2.455	2.516	2.428	2.466	2.434	2.484	2.436	2.490	2.410	2.438	2.428

0.32	2.294	2.336	2.282	2.307	2.293	2.327	2.298	2.336	2.285	2.303	2.296
0.34	2.149	2.179	2.150	2.165	2.163	2.187	2.172	2.199	2.169	2.180	2.176
0.35	2.083	2.107	2.088	2.099	2.103	2.123	2.113	2.135	2.114	2.123	2.120
0.36	2.019	2.039	2.029	2.037	2.045	2.061	2.056	2.075	2.061	2.067	2.066
0.38	1.900	1.913	1.917	1.920	1.935	1.946	1.949	1.962	1.959	1.963	1.964
0.40	1.791	1.799	1.813	1.813	1.833	1.841	1.849	1.858	1.864	1.866	1.869

0.42	1.691	1.695	1.716	1.715	1.739	1.743	1.756	1.762	1.774	1.775	1.781
0.44	1.598	1.600	1.626	1.623	1.650	1.653	1.670	1.674	1.690	1.690	1.697
0.45	1.554	1.555	1.583	1.580	1.608	1.610	1.628	1.631	1.649	1.649	1.658
0.46	1.512	1.512	1.542	1.538	1.567	1.569	1.588	1.591	1.610	1.610	1.619
0.48	1.432	1.431	1.463	1.459	1.489	1.490	1.512	1.513	1.535	1.535	1.546
0.50	1.357	1.355	1.389	1.385	1.416	1.417	1.440	1.441	1.464	1.464	1.476

0.55	1.190	1.188	1.223	1.220	1.252	1.252	1.277	1.278	1.303	1.303	1.319
0.60	1.049	1.047	1.081	1.079	1.111	1.111	1.137	1.138	1.163	1.164	1.182
0.65	0.928	0.927	0.959	0.958	0.989	0.989	1.015	1.016	1.042	1.043	1.061
0.70	0.825	0.824	0.855	0.854	0.883	0.884	0.910	0.910	0.935	0.936	0.956
0.80	0.660	0.660	0.687	0.686	0.713	0.713	0.737	0.738	0.761	0.762	0.782
0.90	0.538	0.538	0.561	0.561	0.583	0.584	0.605	0.606	0.627	0.628	0.646
1.00	0.447	0.447	0.466	0.466	0.485	0.486	0.504	0.505	0.523	0.524	0.541

1.10	0.377	0.377	0.393	0.393	0.409	0.410	0.425	0.426	0.441	0.442	0.457
1.20	0.323	0.323	0.336	0.336	0.350	0.350	0.364	0.364	0.378	0.378	0.391
1.30	0.281	0.281	0.291	0.291	0.303	0.304	0.315	0.315	0.327	0.327	0.339
1.40	0.246	0.246	0.256	0.256	0.265	0.266	0.275	0.276	0.286	0.286	0.296
1.50	0.219	0.218	0.226	0.226	0.235	0.235	0.243	0.244	0.252	0.253	0.261

1.60			0.202	0.202	0.209		0.217		0.224		0.232
1.70			0.182	0.182	0.188		0.195		0.201		0.208
1.80			0.164	0.164	0.170		0.176		0.182		0.188
1.90			0.149	0.149	0.155		0.160		0.165		0.170
2.00			0.136	0.136	0.141		0.146		0.150		0.155

Element	Ga³⁺	Ge⁴⁺	Br¹⁻	Rb¹⁺	Sr²⁺	Y³⁺	Zr⁴⁺	Nb³⁺	Nb⁵⁺	Mo³⁺	Mo⁵⁺
Z	31	32	35	37	38	39	40	41	41	42	42
Method	HF	HF	RHF	RHF	RHF	*DS	*DS	*DS	*DS	*DS	*DS
(sin $[\theta]$ )/λ (Å⁻¹)
0.00			9.357	5.545	4.642
0.01			−230.004	244.880	483.320
0.02			−50.565	65.359	124.299
0.03			−17.431	32.090	57.798
0.04	47.03	61.67	−5.942	20.419	34.505	48.84	63.31	49.33	77.86	49.44	78.04
0.05	30.87	40.13	−0.738	14.987	23.704	32.67	41.74	33.15	50.92	33.26	51.09

0.06	22.09	28.43	1.978	12.005	17.816	23.86	30.02	24.34	36.28	24.45	36.45
0.07	16.78	21.37	3.508	10.176	14.246	18.54	22.95	19.01	27.45	19.11	27.61
0.08	13.34	16.78	4.399	8.957	11.907	15.07	18.34	15.52	21.70	15.63	21.87
0.09	10.97	13.63	4.917	8.091	10.283	12.68	15.17	13.12	17.76	13.23	17.92
0.10	9.28	11.38	5.202	7.442	9.101	10.95	12.90	11.38	14.92	11.49	15.09

0.11	8.02	9.71	5.335	6.932	8.206	9.66	11.20	10.07	12.82	10.18	12.98
0.12	7.057	8.437	5.367	6.516	7.506	8.658	9.898	9.062	11.212	9.170	11.369
0.13	6.305	7.442	5.331	6.166	6.942	7.867	8.874	8.257	9.952	8.364	10.105
0.14	5.703	6.650	5.248	5.863	6.477	7.227	8.052	7.601	8.945	7.708	9.094
0.15	5.213	5.818	5.132	5.595	6.084	6.696	7.378	7.057	8.124	7.163	8.269

0.16	4.809	5.481	4.996	5.352	5.746	6.249	6.817	6.596	7.444	6.702	7.586
0.17	4.470	5.041	4.846	5.130	5.449	5.867	6.343	6.200	6.873	6.304	7.012
0.18	4.182	4.669	4.688	4.925	5.186	5.534	5.936	5.853	6.388	5.957	6.523
0.19	3.934	4.351	4.527	4.733	4.949	5.242	5.582	5.548	5.969	5.650	6.101
0.20	3.719	4.078	4.365	4.552	4.734	4.981	5.273	5.275	5.605	5.376	5.733

0.22	3.364	3.631	4.046	4.218	4.352	4.535	4.751	4.805	5.002	4.903	5.123
0.24	3.081	3.281	3.745	3.914	4.021	4.161	4.327	4.410	4.520	4.505	4.634
0.25	2.960	3.133	3.602	3.773	3.871	3.995	4.143	4.233	4.313	4.327	4.424
0.26	2.849	3.000	3.465	3.638	3.729	3.841	3.972	4.069	4.124	4.162	4.232
0.28	2.654	2.769	3.208	3.384	3.466	3.560	3.668	3.771	3.791	3.860	3.892
0.30	2.487	2.574	2.975	3.151	3.228	3.311	3.403	3.507	3.505	3.592	3.599

0.32	2.340	2.407	2.765	2.938	3.012	3.088	3.168	3.269	3.255	3.351	3.344
0.34	2.210	2.262	2.576	2.744	2.815	2.886	2.957	3.054	3.034	3.132	3.117
0.35	2.150	2.195	2.488	2.652	2.723	2.792	2.860	2.955	2.933	3.031	3.013
0.36	2.093	2.133	2.405	2.565	2.635	2.702	2.768	2.859	2.837	2.934	2.915
0.38	1.986	2.018	2.252	2.403	2.470	2.534	2.596	2.681	2.659	2.752	2.732
0.40	1.888	1.914	2.114	2.254	2.319	2.381	2.439	2.518	2.497	2.585	2.566

0.42	1.798	1.819	1.990	2.119	2.180	2.240	2.295	2.369	2.350	2.432	2.414
0.44	1.714	1.732	1.877	1.996	2.053	2.111	2.163	2.231	2.215	2.292	2.276
0.45	1.674	1.691	1.825	1.938	1.994	2.050	2.102	2.167	2.152	2.225	2.211
0.46	1.635	1.652	1.775	1.883	1.937	1.992	2.042	2.105	2.092	2.162	2.148
0.48	1.562	1.577	1.682	1.780	1.831	1.883	1.931	1.988	1.978	2.042	2.031
0.50	1.493	1.507	1.598	1.686	1.733	1.782	1.828	1.881	1.872	1.931	1.922

0.55	1.337	1.351	1.415	1.483	1.522	1.564	1.604	1.647	1.643	1.690	1.686
0.60	1.201	1.216	1.266	1.318	1.350	1.385	1.419	1.454	1.453	1.491	1.489
0.65	1.082	1.098	1.140	1.182	1.208	1.237	1.266	1.295	1.295	1.326	1.326
0.70	0.977	0.994	1.034	1.068	1.089	1.113	1.137	1.161	1.163	1.188	1.188
0.80	0.803	0.821	0.860	0.887	0.902	0.919	0.937	0.954	0.955	0.973	0.974
0.90	0.667	0.684	0.725	0.749	0.761	0.775	0.788	0.801	0.802	0.815	0.816
1.00	0.559	0.575	0.616	0.640	0.651	0.662	0.673	0.684	0.685	0.696	0.696

1.10	0.474	0.489	0.528	0.551	0.562	0.572	0.582	0.591	0.592	0.601	0.601
1.20	0.406	0.419	0.456	0.478	0.488	0.498	0.507	0.516	0.516	0.525	0.525
1.30	0.351	0.363	0.396	0.417	0.427	0.436	0.445	0.453	0.453	0.462	0.462
1.40	0.307	0.317	0.347	0.366	0.376	0.384	0.393	0.401	0.401	0.408	0.408
1.50	0.271	0.280	0.306	0.324	0.332	0.340	0.348	0.356	0.356	0.363	0.363

1.60			0.272	0.288	0.296	0.303	0.311	0.318	0.318	0.325	0.325
1.70			0.243	0.257	0.265	0.271	0.278	0.285	0.285	0.292	0.292
1.80			0.219	0.232	0.238	0.244	0.251	0.257	0.257	0.263	0.263
1.90			0.198	0.209	0.215	0.221	0.227	0.232	0.232	0.238	0.238
2.00			0.180	0.190	0.196	0.201	0.206	0.211	0.211	0.216	0.216

Element	Mo³⁺	Ru³⁺	Ru⁴⁺	Rh³⁺	Rh⁴⁺	Pd²⁺	Pd⁴⁺	Ag¹⁺	Ag²⁺	Cd²⁺	In³⁺
Z	42	44	44	45	45	46	46	47	47	48	49
Method	*DS	*DS	*DS	*DS	*DS	*DS	*DS	*DS	*DS	*DS	*DS
(sin $[\theta]$ )/λ (Å⁻¹)
0.00
0.01
0.02
0.03
0.04	92.49	49.53	63.83	49.53	63.87	35.30	63.89	21.21	35.23	35.15	49.41
0.05	60.17	33.34	42.27	33.35	42.31	24.50	42.32	15.77	24.43	24.36	33.23

0.06	42.61	24.54	30.54	24.55	30.58	18.61	30.61	12.79	18.54	18.47	24.43
0.07	32.01	19.21	23.46	19.22	23.50	15.03	23.52	10.96	14.97	14.90	19.11
0.08	25.13	15.73	18.85	15.74	18.89	12.69	18.92	9.73	12.63	12.56	15.65
0.09	20.40	13.33	15.68	13.34	15.72	11.06	15.75	8.87	11.00	10.94	13.26
0.10	17.02	11.59	13.39	11.61	13.44	9.87	13.46	8.22	9.82	9.76	11.53

0.11	14.50	10.29	11.69	10.31	11.74	8.97	11.76	7.70	8.92	8.87	10.24
0.12	12.585	9.281	10.381	9.301	10.430	8.259	10.458	7.287	8.217	8.169	9.249
0.13	11.086	8.480	9.351	8.502	9.399	7.687	9.431	6.935	7.652	7.608	8.463
0.14	9.891	7.827	8.521	7.853	8.571	7.214	8.603	6.631	7.184	7.146	7.826
0.15	8.919	7.286	7.840	7.313	7.891	6.813	7.924	6.361	6.789	6.756	7.299

0.16	8.118	6.827	7.271	6.858	7.322	6.467	7.357	6.117	6.448	6.419	6.856
0.17	7.449	6.432	6.788	6.465	6.841	6.163	6.877	5.894	6.149	6.126	6.476
0.18	6.881	6.088	6.372	6.124	6.426	5.892	6.464	5.687	5.883	5.865	6.147
0.19	6.395	5.784	6.011	5.822	6.065	5.647	6.105	5.494	5.643	5.629	5.858
0.20	5.975	5.511	5.692	5.553	5.747	5.423	5.788	5.312	5.424	5.416	5.600

0.22	5.283	5.042	5.153	5.087	5.211	5.026	5.255	4.975	5.036	5.036	5.158
0.24	4.739	4.646	4.712	4.695	4.771	4.679	4.818	4.667	4.697	4.705	4.786
0.25	4.508	4.469	4.519	4.520	4.578	4.521	4.626	4.522	4.541	4.553	4.621
0.26	4.297	4.304	4.340	4.356	4.400	4.370	4.449	4.383	4.394	4.410	4.466
0.28	3.931	4.003	4.020	4.057	4.080	4.090	4.130	4.120	4.121	4.142	4.184
0.30	3.620	3.733	3.738	3.789	3.799	3.836	3.850	3.876	3.871	3.898	3.930

0.32	3.352	3.490	3.488	3.547	3.548	3.601	3.601	3.649	3.640	3.672	3.701
0.34	3.118	3.269	3.263	3.327	3.323	3.385	3.376	3.437	3.427	3.463	3.490
0.35	3.011	3.166	3.158	3.224	3.218	3.284	3.271	3.336	3.327	3.363	3.390
0.36	2.910	3.067	3.058	3.125	3.118	3.185	3.171	3.239	3.230	3.268	3.295
0.38	2.725	2.882	2.872	2.939	2.931	3.000	2.984	3.055	3.046	3.086	3.115
0.40	2.557	2.711	2.702	2.768	2.759	2.828	2.812	2.883	2.875	2.917	2.947

0.42	2.406	2.553	2.545	2.609	2.601	2.668	2.653	2.723	2.716	2.759	2.790
0.44	2.267	2.408	2.400	2.462	2.454	2.520	2.505	2.573	2.567	2.611	2.643
0.45	2.202	2.339	2.332	2.393	2.385	2.450	2.436	2.502	2.497	2.541	2.574
0.46	2.140	2.273	2.266	2.326	2.319	2.382	2.369	2.434	2.429	2.473	2.506
0.48	2.024	2.148	2.143	2.199	2.193	2.253	2.242	2.304	2.300	2.343	2.378
0.50	1.916	2.033	2.028	2.082	2.077	2.133	2.124	2.182	2.179	2.222	2.258

0.55	1.682	1.779	1.776	1.823	1.820	1.869	1.863	1.913	1.912	1.953	1.989
0.60	1.487	1.568	1.567	1.607	1.606	1.647	1.644	1.687	1.686	1.725	1.760
0.65	1.325	1.392	1.392	1.426	1.426	1.461	1.460	1.496	1.496	1.531	1.564
0.70	1.189	1.244	1.244	1.274	1.274	1.304	1.304	1.335	1.335	1.367	1.397
0.80	0.975	1.014	1.015	1.036	1.037	1.059	1.060	1.083	1.083	1.107	1.132
0.90	0.817	0.846	0.846	0.863	0.863	0.880	0.880	0.898	0.898	0.917	0.936
1.00	0.696	0.719	0.720	0.732	0.732	0.745	0.746	0.759	0.759	0.774	0.789

1.10	0.602	0.621	0.621	0.631	0.631	0.642	0.642	0.653	0.653	0.664	0.676
1.20	0.525	0.542	0.542	0.551	0.551	0.560	0.560	0.569	0.569	0.578	0.588
1.30	0.462	0.477	0.477	0.485	0.485	0.493	0.493	0.501	0.501	0.508	0.516
1.40	0.409	0.423	0.423	0.430	0.430	0.437	0.437	0.444	0.444	0.451	0.458
1.50	0.363	0.377	0.377	0.384	0.384	0.391	0.391	0.397	0.397	0.403	0.409

1.60	0.325	0.338	0.338	0.344	0.344	0.350	0.350	0.356	0.356	0.362	0.368
1.70	0.292	0.304	0.304	0.310	0.310	0.316	0.316	0.322	0.322	0.327	0.332
1.80	0.263	0.275	0.275	0.280	0.280	0.286	0.286	0.291	0.291	0.296	0.301
1.90	0.238	0.249	0.249	0.254	0.254	0.260	0.260	0.265	0.265	0.270	0.274
2.00	0.216	0.227	0.227	0.232	0.232	0.237	0.237	0.241	0.241	0.246	0.251

Element	Sn²⁺	Sn⁴⁺	Sb³⁺	Sb⁵⁺	I¹⁻	Cs¹⁺	Ba²⁺	La³⁺	Ce³⁺	Ce⁴⁺	Pr³⁺
Z	50	50	51	51	53	55	56	57	58	58	59
Method	RHF	RHF	*DS	*DS	RHF	RHF	*DS	*DS	*DS	*DS	*DS
(sin $[\theta]$ )/λ (Å⁻¹)
0.00	6.144	3.971			13.835	9.035
0.01	484.819	961.330			−225.540	248.365
0.02	125.792	243.305			−46.145	68.827
0.03	59.280	110.331			−13.083	35.532
0.04	35.972	63.782	50.16	78.38	−1.690	23.823	37.64	51.70	51.62	65.94	51.53
0.05	25.152	42.227	33.97	51.44	3.399	18.344	26.81	35.49	35.42	44.36	35.34

0.06	19.242	30.510	25.14	36.81	5.981	15.307	20.87	26.65	26.59	32.62	26.51
0.07	15.646	23.435	19.81	27.97	7.365	13.414	17.25	21.30	21.23	25.51	21.15
0.08	13.280	18.833	16.32	22.22	8.103	12.124	14.86	17.78	17.72	20.87	17.65
0.09	11.625	15.668	13.91	18.28	8.462	11.180	13.17	15.34	15.29	17.66	15.22
0.10	10.411	13.395	12.16	15.45	8.586	10.448	11.92	13.57	13.51	15.34	13.45

0.11	9.484	11.703	10.85	13.35	8.560	9.851	10.96	12.22	12.17	13.60	12.11
0.12	8.750	10.407	9.825	11.743	8.437	9.345	10.185	11.163	11.119	12.258	11.064
0.13	8.152	9.388	9.010	10.486	8.249	8.903	9.547	10.313	10.275	11.185	10.224
0.14	7.653	8.571	8.344	9.480	8.021	8.506	9.003	9.610	9.576	10.312	9.531
0.15	7.227	7.902	7.790	8.660	7.767	8.143	8.531	9.016	8.987	9.586	8.947

0.16	6.856	7.345	7.319	7.982	7.500	7.806	8.113	8.505	8.482	8.972	8.446
0.17	6.528	6.875	6.911	7.413	7.228	7.491	7.738	8.056	8.038	8.441	8.008
0.18	6.234	6.473	6.555	6.928	6.955	7.193	7.395	7.658	7.645	7.979	7.619
0.19	5.968	6.124	6.239	6.512	6.685	6.911	7.080	7.300	7.292	7.569	7.270
0.20	5.725	5.818	5.955	6.149	6.423	6.643	6.787	6.974	6.970	7.202	6.954

0.22	5.293	5.304	5.464	5.548	5.925	6.143	6.256	6.398	6.403	6.568	6.396
0.24	4.918	4.886	5.050	5.067	5.468	5.688	5.785	5.900	5.912	6.033	5.914
0.25	4.747	4.703	4.864	4.860	5.255	5.475	5.568	5.674	5.690	5.794	5.695
0.26	4.586	4.535	4.691	4.671	5.054	5.272	5.362	5.461	5.480	5.570	5.489
0.28	4.289	4.232	4.375	4.336	4.681	4.893	4.980	5.069	5.094	5.163	5.109
0.30	4.021	3.967	4.094	4.048	4.348	4.549	4.633	4.716	4.745	4.800	4.766

0.32	3.778	3.730	3.840	3.793	4.049	4.237	4.318	4.396	4.429	4.474	4.454
0.34	3.556	3.516	3.611	3.567	3.782	3.954	4.032	4.106	4.142	4.179	4.170
0.35	3.452	3.416	3.503	3.463	3.658	3.823	3.899	3.971	4.008	4.042	4.037
0.36	3.352	3.320	3.401	3.363	3.541	3.698	3.772	3.843	3.880	3.911	3.910
0.38	3.164	3.140	3.208	3.177	3.325	3.466	3.536	3.602	3.640	3.667	3.673
0.40	2.991	2.973	3.031	3.006	3.129	3.255	3.321	3.383	3.422	3.444	3.455

0.42	2.830	2.817	2.867	2.848	2.951	3.064	3.124	3.183	3.221	3.240	3.255
0.44	2.680	2.672	2.716	2.702	2.789	2.890	2.946	3.000	3.038	3.054	3.072
0.45	2.610	2.604	2.644	2.632	2.714	2.808	2.862	2.914	2.952	2.967	2.986
0.46	2.541	2.537	2.575	2.565	2.641	2.731	2.782	2.832	2.870	2.883	2.904
0.48	2.412	2.410	2.444	2.438	2.505	2.586	2.632	2.679	2.715	2.726	2.749
0.50	2.290	2.291	2.322	2.319	2.379	2.452	2.495	2.538	2.573	2.582	2.606

0.55	2.020	2.023	2.050	2.051	2.103	2.163	2.197	2.232	2.264	2.268	2.295
0.60	1.791	1.794	1.819	1.822	1.871	1.923	1.951	1.980	2.010	2.011	2.038
0.65	1.594	1.597	1.622	1.625	1.673	1.721	1.745	1.770	1.797	1.796	1.823
0.70	1.426	1.428	1.453	1.455	1.503	1.548	1.570	1.592	1.617	1.615	1.641
0.80	1.157	1.157	1.181	1.182	1.227	1.269	1.288	1.307	1.328	1.326	1.349
0.90	0.956	0.956	0.976	0.977	1.017	1.055	1.072	1.090	1.108	1.107	1.126
1.00	0.805	0.804	0.821	0.821	0.855	0.888	0.904	0.920	0.936	0.935	0.952

1.10	0.688	0.688	0.702	0.702	0.729	0.757	0.771	0.785	0.799	0.799	0.813
1.20	0.597	0.597	0.608	0.608	0.630	0.654	0.666	0.678	0.690	0.690	0.702
1.30	0.525	0.524	0.534	0.533	0.551	0.571	0.581	0.591	0.602	0.602	0.612
1.40	0.465	0.465	0.473	0.473	0.487	0.504	0.512	0.521	0.530	0.530	0.539
1.50	0.416	0.416	0.422	0.422	0.435	0.448	0.456	0.463	0.471	0.471	0.478

1.60	0.374	0.374	0.379	0.379	0.391	0.402	0.409	0.415	0.421	0.421	0.428
1.70	0.338	0.338	0.343	0.343	0.353	0.364	0.369	0.374	0.380	0.380	0.386
1.80	0.306	0.306	0.311	0.311	0.321	0.330	0.335	0.340	0.345	0.345	0.350
1.90	0.279	0.279	0.284	0.284	0.293	0.301	0.306	0.310	0.314	0.314	0.319
2.00	0.255	0.255	0.259	0.259	0.268	0.276	0.280	0.284	0.288	0.288	0.292

Element	Pr⁴⁺	Nd³⁺	Pm³⁺	Sm³⁺	Eu²⁺	Eu³⁺	Gd³⁺	Tb³⁺	Dy³⁺	Ho³⁺	Er³⁺
Z	59	60	61	62	63	63	64	65	66	67	68
Method	*DS	*DS	*DS	*DS	*DS	*DS	*DS	*DS	*DS	*DS	*DS
(sin $[\theta]$ )/λ (Å⁻¹)
0.00
0.01
0.02
0.03
0.04	65.86	51.44	51.35	51.26	36.99	51.17	51.08	51.04	50.92	50.83	50.74
0.05	44.30	35.25	35.15	35.07	26.17	34.97	34.90	34.85	34.72	34.64	34.55

0.06	32.55	26.42	26.33	26.25	20.26	26.15	26.08	26.02	25.92	25.83	25.74
0.07	25.44	21.07	20.98	20.90	16.67	20.81	20.74	20.68	20.58	20.50	20.41
0.08	20.81	17.57	17.49	17.41	14.30	17.32	17.25	17.19	17.09	17.01	16.93
0.09	17.60	15.14	15.06	14.98	12.65	14.90	14.83	14.77	14.68	14.60	14.53
0.10	15.29	13.38	13.30	13.23	11.44	13.15	13.08	13.02	12.94	12.86	12.79

0.11	13.55	12.04	11.97	11.90	10.51	11.83	11.76	11.71	11.62	11.55	11.48
0.12	12.210	11.003	10.937	10.870	9.770	10.802	10.739	10.681	10.604	10.538	10.469
0.13	11.141	10.167	10.106	10.044	9.167	9.979	9.919	9.863	9.792	9.728	9.664
0.14	10.272	9.480	9.422	9.366	8.663	9.305	9.248	9.194	9.128	9.068	9.007
0.15	9.550	8.901	8.849	8.796	8.229	8.740	8.686	8.634	8.574	8.517	8.460

0.16	8.939	8.405	8.357	8.310	7.850	8.257	8.207	8.158	8.102	8.049	7.995
0.17	8.413	7.972	7.930	7.886	7.511	7.838	7.791	7.746	7.694	7.645	7.594
0.18	7.955	7.589	7.551	7.512	7.206	7.468	7.425	7.383	7.335	7.290	7.242
0.19	7.549	7.245	7.212	7.177	6.927	7.138	7.099	7.059	7.016	6.974	6.930
0.20	7.187	6.932	6.904	6.874	6.669	6.839	6.804	6.768	6.729	6.690	6.650

0.22	6.561	6.384	6.364	6.342	6.204	6.316	6.289	6.258	6.227	6.196	6.162
0.24	6.033	5.910	5.899	5.884	5.792	5.865	5.845	5.822	5.798	5.773	5.745
0.25	5.797	5.695	5.687	5.677	5.601	5.661	5.645	5.625	5.604	5.582	5.557
0.26	5.577	5.492	5.488	5.481	5.419	5.469	5.456	5.439	5.421	5.402	5.380
0.28	5.176	5.118	5.121	5.120	5.080	5.115	5.107	5.096	5.085	5.071	5.055
0.30	4.818	4.780	4.789	4.793	4.768	4.794	4.792	4.787	4.780	4.772	4.760

0.32	4.496	4.473	4.486	4.496	4.482	4.501	4.504	4.504	4.502	4.498	4.492
0.34	4.205	4.193	4.210	4.224	4.218	4.233	4.240	4.244	4.247	4.247	4.244
0.35	4.069	4.061	4.081	4.096	4.093	4.107	4.116	4.122	4.126	4.128	4.128
0.36	3.939	3.936	3.956	3.973	3.973	3.987	3.997	4.005	4.011	4.014	4.016
0.38	3.697	3.700	3.724	3.743	3.748	3.759	3.773	3.784	3.793	3.799	3.804
0.40	3.476	3.484	3.509	3.531	3.540	3.550	3.566	3.579	3.590	3.600	3.607

0.42	3.273	3.285	3.312	3.335	3.347	3.356	3.374	3.389	3.403	3.414	3.423
0.44	3.087	3.103	3.130	3.155	3.168	3.176	3.196	3.213	3.228	3.241	3.253
0.45	3.000	3.017	3.045	3.069	3.084	3.092	3.112	3.130	3.146	3.160	3.172
0.46	2.916	2.934	2.962	2.988	3.003	3.010	3.031	3.049	3.066	3.081	3.094
0.48	2.759	2.779	2.807	2.833	2.850	2.856	2.878	2.897	2.915	2.931	2.945
0.50	2.614	2.636	2.664	2.690	2.709	2.714	2.736	2.756	2.775	2.791	2.807

0.55	2.299	2.324	2.351	2.376	2.397	2.400	2.423	2.444	2.463	2.481	2.498
0.60	2.040	2.065	2.091	2.115	2.137	2.138	2.160	2.181	2.201	2.220	2.237
0.65	1.823	1.848	1.872	1.895	1.917	1.917	1.939	1.959	1.978	1.997	2.014
0.70	1.639	1.664	1.686	1.708	1.730	1.729	1.749	1.769	1.788	1.806	1.823
0.80	1.347	1.369	1.389	1.408	1.428	1.427	1.445	1.463	1.480	1.497	1.513
0.90	1.125	1.144	1.162	1.179	1.197	1.196	1.212	1.228	1.244	1.260	1.274
1.00	0.951	0.968	0.984	0.999	1.015	1.014	1.029	1.044	1.058	1.072	1.086

1.10	0.813	0.827	0.841	0.855	0.869	0.869	0.882	0.895	0.908	0.921	0.934
1.20	0.702	0.714	0.727	0.739	0.751	0.751	0.763	0.775	0.787	0.798	0.810
1.30	0.612	0.623	0.634	0.644	0.655	0.655	0.666	0.676	0.687	0.697	0.708
1.40	0.539	0.548	0.557	0.567	0.576	0.576	0.585	0.595	0.604	0.613	0.623
1.50	0.478	0.486	0.494	0.502	0.510	0.510	0.519	0.527	0.535	0.544	0.552

1.60	0.428	0.435	0.442	0.449	0.456	0.456	0.463	0.470	0.478	0.485	0.492
1.70	0.386	0.392	0.398	0.404	0.410	0.410	0.416	0.423	0.429	0.436	0.442
1.80	0.350	0.355	0.360	0.366	0.371	0.371	0.377	0.382	0.388	0.394	0.399
1.90	0.319	0.324	0.328	0.333	0.338	0.338	0.343	0.348	0.353	0.358	0.363
2.00	0.292	0.296	0.301	0.305	0.309	0.309	0.313	0.318	0.322	0.327	0.331

Element	Tm³⁺	Yb²⁺	Yb³⁺	Lu³⁺	Hf⁴⁺	Ta⁵⁺	W⁶⁺	Os⁴⁺	Ir³⁺	Ir⁴⁺	Pt²⁺
Z	69	70	70	71	72	73	74	76	77	77	78
Method	*DS	*DS	*DS	*DS	*DS	*DS	*DS	*DS	*DS	*DS	*DS
(sin $[\theta]$ )/λ (Å⁻¹)
0.00
0.01
0.02
0.03
0.04	50.67	36.30	50.58	50.50	64.91	79.42	94.00	65.56	51.44	65.65	37.41
0.05	34.47	25.49	34.40	34.32	43.35	52.47	61.68	44.00	35.25	44.09	26.60

0.06	25.67	19.61	25.59	25.52	31.63	37.84	44.11	32.26	26.43	32.36	20.68
0.07	20.34	16.03	20.27	20.19	24.54	28.99	33.51	25.17	21.09	25.26	17.09
0.08	16.86	13.68	16.79	16.72	19.93	23.24	26.62	20.55	17.60	20.64	14.72
0.09	14.46	12.05	14.39	14.32	16.76	19.29	21.89	17.36	15.18	17.45	13.06
0.10	12.72	10.86	12.65	12.59	14.47	16.45	18.50	15.06	13.42	15.15	11.84

0.11	11.42	9.95	11.35	11.29	12.77	14.34	15.98	13.34	12.10	13.43	10.91
0.12	10.406	9.243	10.343	10.282	11.463	12.727	14.051	12.019	11.071	12.108	10.170
0.13	9.603	8.669	9.542	9.484	10.432	11.460	12.545	10.971	10.248	11.061	9.567
0.14	8.950	8.191	8.891	8.835	9.600	10.443	11.341	10.122	9.571	10.211	9.058
0.15	8.405	7.788	8.349	8.296	8.918	9.613	10.361	9.421	9.006	9.510	8.623

0.16	7.943	7.436	7.890	7.839	8.348	8.924	9.550	8.833	8.523	8.919	8.241
0.17	7.545	7.128	7.495	7.447	7.863	8.343	8.870	8.330	8.104	8.415	7.902
0.18	7.196	6.852	7.150	7.104	7.445	7.847	8.292	7.895	7.734	7.978	7.595
0.19	6.888	6.601	6.843	6.801	7.081	7.418	7.795	7.512	7.404	7.594	7.314
0.20	6.610	6.372	6.569	6.529	6.760	7.042	7.364	7.172	7.107	7.253	7.055

0.22	6.128	5.962	6.093	6.058	6.214	6.415	6.650	6.591	6.585	6.668	6.587
0.24	5.717	5.601	5.688	5.659	5.765	5.907	6.080	6.107	6.138	6.181	6.173
0.25	5.532	5.434	5.505	5.479	5.566	5.687	5.836	5.893	5.936	5.965	5.981
0.26	5.358	5.276	5.334	5.310	5.382	5.485	5.613	5.693	5.745	5.764	5.799
0.28	5.038	4.980	5.019	5.000	5.049	5.124	5.220	5.331	5.395	5.398	5.458
0.30	4.748	4.708	4.734	4.720	4.754	4.809	4.882	5.009	5.078	5.072	5.145

0.32	4.484	4.456	4.474	4.464	4.489	4.530	4.586	4.719	4.789	4.779	4.857
0.34	4.240	4.221	4.234	4.228	4.247	4.279	4.323	4.456	4.524	4.512	4.590
0.35	4.126	4.110	4.122	4.117	4.134	4.162	4.201	4.333	4.400	4.387	4.464
0.36	4.015	4.003	4.013	4.010	4.025	4.051	4.086	4.215	4.280	4.267	4.343
0.38	3.806	3.800	3.807	3.807	3.821	3.843	3.872	3.994	4.055	4.042	4.114
0.40	3.612	3.609	3.616	3.618	3.632	3.650	3.675	3.789	3.845	3.834	3.900

0.42	3.431	3.432	3.437	3.442	3.455	3.473	3.495	3.599	3.651	3.641	3.702
0.44	3.262	3.266	3.271	3.277	3.291	3.307	3.327	3.423	3.471	3.462	3.518
0.45	3.182	3.187	3.191	3.199	3.213	3.229	3.248	3.340	3.385	3.377	3.430
0.46	3.105	3.110	3.115	3.123	3.137	3.153	3.172	3.259	3.303	3.295	3.346
0.48	2.958	2.965	2.969	2.979	2.993	3.009	3.027	3.106	3.146	3.140	3.186
0.50	2.820	2.829	2.833	2.844	2.859	2.875	2.892	2.963	3.000	2.995	3.036

0.55	2.514	2.526	2.528	2.541	2.557	2.573	2.590	2.646	2.675	2.672	2.704
0.60	2.253	2.267	2.269	2.283	2.299	2.315	2.331	2.375	2.399	2.398	2.423
0.65	2.031	2.046	2.047	2.061	2.077	2.092	2.108	2.144	2.164	2.164	2.184
0.70	1.839	1.855	1.855	1.870	1.885	1.900	1.914	1.945	1.962	1.962	1.979
0.80	1.529	1.544	1.544	1.558	1.572	1.585	1.598	1.623	1.636	1.636	1.649
0.90	1.289	1.304	1.303	1.317	1.329	1.341	1.353	1.375	1.386	1.386	1.397
1.00	1.099	1.113	1.112	1.125	1.137	1.148	1.159	1.179	1.189	1.189	1.199

1.10	0.946	0.959	0.958	0.970	0.981	0.992	1.002	1.021	1.031	1.031	1.040
1.20	0.821	0.833	0.832	0.843	0.854	0.864	0.873	0.892	0.901	0.901	0.909
1.30	0.718	0.728	0.728	0.738	0.748	0.757	0.766	0.784	0.792	0.792	0.800
1.40	0.632	0.641	0.641	0.650	0.659	0.668	0.677	0.693	0.701	0.701	0.709
1.50	0.560	0.569	0.569	0.577	0.585	0.593	0.601	0.616	0.624	0.624	0.631

1.60	0.500	0.507	0.507	0.515	0.522	0.529	0.537	0.551	0.558	0.558	0.565
1.70	0.449	0.455	0.455	0.462	0.469	0.475	0.482	0.495	0.502	0.502	0.508
1.80	0.405	0.411	0.411	0.417	0.423	0.429	0.435	0.447	0.453	0.453	0.459
1.90	0.368	0.373	0.373	0.379	0.384	0.389	0.395	0.405	0.411	0.411	0.416
2.00	0.336	0.341	0.341	0.345	0.350	0.355	0.360	0.370	0.374	0.374	0.379

Element	Pt⁴⁺	Au¹⁺	Au³⁺	Hg¹⁺	Hg²⁺	Tl¹⁺	Tl³⁺	Pb²⁺	Pb⁴⁺	Bi³⁺	Bi⁵⁺
Z	78	79	79	80	80	81	81	82	82	83	83
Method	*DS	*DS	*DS	*DS	*DS	*DS	*DS	*DS	*DS	*DS	*DS
(sin $[\theta]$ )/λ (Å⁻¹)
0.00
0.01
0.02
0.03
0.04	65.73	23.52	51.50	23.84	37.35	24.11	51.46	37.98	65.83	52.12	80.28
0.05	44.16	18.07	35.32	18.38	26.53	18.65	35.29	27.15	44.27	35.91	53.34

0.06	32.42	15.05	26.49	15.36	20.63	15.62	26.48	21.23	32.54	27.09	38.69
0.07	25.33	13.19	21.15	13.49	17.04	13.74	21.15	17.62	25.45	21.74	29.85
0.08	20.71	11.94	17.67	12.23	14.67	12.47	17.67	15.24	20.83	18.23	24.09
0.09	17.52	11.04	15.25	11.31	13.03	11.54	15.26	13.57	17.65	15.81	20.13
0.10	15.22	10.35	13.50	10.60	11.82	10.83	13.51	12.34	15.35	14.04	17.29

0.11	13.50	9.80	12.18	10.04	10.89	10.26	12.20	11.40	13.64	12.70	15.17
0.12	12.178	9.341	11.153	9.565	10.165	9.775	11.178	10.642	12.316	11.663	13.539
0.13	11.130	8.946	10.331	9.156	9.569	9.356	10.362	10.024	11.272	10.827	12.262
0.14	10.281	8.599	9.660	8.795	9.072	8.983	9.696	9.500	10.427	10.138	11.234
0.15	9.579	8.285	9.097	8.466	8.644	8.645	9.139	9.049	9.730	9.559	10.392

0.16	8.988	7.997	8.617	8.166	8.271	8.335	8.664	8.653	9.144	9.061	9.690
0.17	8.484	7.731	8.201	7.887	7.940	8.045	8.253	8.297	8.644	8.629	9.097
0.18	8.047	7.480	7.834	7.624	7.640	7.773	7.890	7.975	8.211	8.245	8.587
0.19	7.662	7.243	7.506	7.376	7.367	7.516	7.567	7.679	7.830	7.901	8.144
0.20	7.320	7.018	7.211	7.141	7.114	7.272	7.275	7.406	7.492	7.589	7.755

0.22	6.735	6.598	6.693	6.703	6.658	6.817	6.765	6.912	6.913	7.040	7.100
0.24	6.246	6.210	6.247	6.301	6.253	6.400	6.326	6.472	6.429	6.566	6.564
0.25	6.029	6.028	6.046	6.112	6.065	6.205	6.127	6.268	6.214	6.351	6.329
0.26	5.827	5.852	5.855	5.930	5.886	6.017	5.939	6.075	6.014	6.148	6.111
0.28	5.459	5.519	5.505	5.587	5.550	5.664	5.591	5.714	5.647	5.773	5.721
0.30	5.131	5.209	5.186	5.270	5.240	5.337	5.275	5.383	5.320	5.433	5.377

0.32	4.385	4.921	4.895	4.975	4.953	5.035	4.985	5.078	5.023	5.123	5.069
0.34	4.565	4.652	4.627	4.702	4.686	4.756	4.718	4.797	4.751	4.838	4.790
0.35	4.439	4.525	4.501	4.573	4.560	4.624	4.591	4.664	4.623	4.704	4.660
0.36	4.318	4.402	4.379	4.448	4.437	4.497	4.469	4.536	4.501	4.576	4.535
0.38	4.090	4.170	4.149	4.212	4.206	4.257	4.238	4.295	4.269	4.333	4.300
0.40	3.880	3.953	3.936	3.993	3.990	4.034	4.022	4.072	4.053	4.108	4.083

0.42	3.684	3.752	3.737	3.789	3.788	3.827	3.821	3.864	3.851	3.899	3.881
0.44	3.502	3.564	3.552	3.599	3.600	3.635	3.633	3.671	3.663	3.705	3.692
0.45	3.416	3.475	3.464	3.509	3.511	3.544	3.544	3.579	3.574	3.613	3.603
0.46	3.333	3.389	3.379	3.422	3.424	3.456	3.457	3.491	3.488	3.524	3.516
0.48	3.176	3.225	3.218	3.258	3.260	3.290	3.293	3.323	3.323	3.355	3.351
0.50	3.028	3.073	3.068	3.104	3.107	3.134	3.139	3.166	3.168	3.197	3.197

0.55	2.700	2.735	2.733	2.762	2.765	2.790	2.795	2.819	2.823	2.847	2.850
0.60	2.422	2.449	2.448	2.474	2.476	2.498	2.502	2.524	2.528	2.549	2.554
0.96	2.184	2.206	2.206	2.227	2.229	2.249	2.252	2.272	2.276	2.295	2.300
0.70	1.980	1.998	1.998	2.017	2.017	2.036	2.038	2.057	2.059	2.077	2.080
0.80	1.650	1.663	1.663	1.678	1.678	1.693	1.694	1.709	1.710	1.726	1.727
0.90	1.397	1.408	1.408	1.420	1.420	1.432	1.432	1.445	1.445	1.458	1.458
1.00	1.199	1.208	1.209	1.218	1.218	1.229	1.228	1.239	1.239	1.250	1.249

1.10	1.040	1.048	1.048	1.057	1.057	1.066	1.066	1.075	1.075	1.084	1.084
1.20	0.909	0.917	0.917	0.926	0.925	0.934	0.933	0.942	0.941	0.950	0.949
1.30	0.800	0.808	0.808	0.816	0.816	0.824	0.824	0.831	0.831	0.838	0.838
1.40	0.709	0.717	0.716	0.724	0.724	0.731	0.731	0.738	0.738	0.745	0.745
1.50	0.631	0.638	0.638	0.645	0.645	0.652	0.652	0.659	0.659	0.665	0.665

1.60	0.565	0.572	0.572	0.578	0.578	0.585	0.585	0.591	0.591	0.597	0.597
1.70	0.508	0.514	0.514	0.520	0.520	0.526	0.527	0.532	0.533	0.538	0.538
1.80	0.459	0.465	0.465	0.470	0.470	0.476	0.476	0.482	0.482	0.487	0.487
1.90	0.416	0.422	0.422	0.427	0.427	0.432	0.432	0.438	0.438	0.443	0.443
2.00	0.379	0.384	0.384	0.389	0.389	0.394	0.394	0.399	0.399	0.404	0.404

Element	Ra²⁺	Ac³⁺	U³⁺	U⁴⁺	U⁶⁺
Z	88	89	92	92	92
Method	*DS	*DS	*DS	*DS	*DS
(sin $[\theta]$ )λ (Å⁻¹)
0.00
0.01
0.02
0.03
0.04	40.04	54.00	54.02	68.15	96.83
0.05	29.19	37.78	37.81	46.56	64.49

0.06	23.23	28.91	28.95	34.80	46.89
0.07	19.57	23.53	23.57	27.67	36.26
0.08	17.14	19.98	20.03	23.01	29.33
0.09	15.42	17.51	17.57	19.78	24.56
0.10	14.12	15.70	15.76	17.44	21.12

0.11	13.11	14.31	14.39	15.67	18.55
0.12	12.291	13.217	13.300	14.296	16.573
0.13	11.602	12.324	12.416	13.192	15.010
0.14	11.008	11.577	11.679	12.287	13.749
0.15	10.486	10.939	11.050	11.528	12.709

0.16	10.018	10.382	10.503	10.879	11.837
0.17	9.592	9.889	10.018	10.314	11.093
0.18	9.200	9.446	9.583	9.816	10.451
0.19	8.836	9.042	9.188	9.371	9.889
0.20	8.495	8.671	8.824	8.967	9.391

0.22	7.873	8.008	8.174	8.261	8.544
0.24	7.315	7.427	7.602	7.655	7.843
0.25	7.057	7.161	7.340	7.380	7.534
0.26	6.811	6.909	7.091	7.122	7.247
0.28	6.355	6.444	6.629	6.647	6.729
0.30	5.940	6.022	6.208	6.219	6.273

0.32	5.563	5.639	5.824	5.830	5.865
0.34	5.219	5.291	5.472	5.475	5.497
0.35	5.059	5.128	5.307	5.309	5.327
0.36	4.906	4.973	5.149	5.151	5.164
0.38	4.621	4.683	4.853	4.853	4.861
0.40	4.360	4.417	4.580	4.580	4.584

0.42	4.122	4.174	4.329	4.328	4.330
0.44	3.904	3.951	4.098	4.097	4.096
0.45	3.801	3.847	3.989	3.988	3.987
0.46	3.703	3.747	3.885	3.883	3.881
0.48	3.518	3.558	3.688	3.686	3.683
0.50	3.348	3.385	3.506	3.504	3.500

0.55	2.975	3.005	3.107	3.106	3.100
0.60	2.664	2.689	2.776	2.774	2.768
0.65	2.400	2.421	2.496	2.494	2.489
0.70	2.174	2.193	2.258	2.256	2.252
0.80	1.808	1.824	1.875	1.874	1.872
0.90	1.527	1.541	1.583	1.582	1.582
1.00	1.307	1.319	1.354	1.354	1.354

1.10	1.132	1.142	1.171	1.172	1.172
1.20	0.991	0.999	1.024	1.025	1.025
1.30	0.874	0.882	0.904	0.904	0.905
1.40	0.778	0.784	0.804	0.804	0.804
1.50	0.696	0.702	0.720	0.720	0.720

1.60	0.626	0.632	0.648	0.648	0.648
1.70	0.566	0.571	0.586	0.586	0.586
1.80	0.513	0.518	0.533	0.533	0.533
1.90	0.467	0.472	0.486	0.486	0.486
2.00	0.427	0.431	0.444	0.444	0.444

By the use of Poisson's equation relating the potential and charge-density distributions, it is possible to derive the Mott–Bethe formula for [f^B(s)] in terms of the atomic scattering factors for X-rays, [f_x(s)] : $[f^B(s)=2\pi{me^2\over h^2\varepsilon_0}\{Z-f_x(s)\}/s^2, \eqno (4.3.1.14)]$ where $[\varepsilon_0]$ is the permittivity of vacuum, or $[f^B(s)=0.023934\, \lambda^2\{Z-f_x(s)\}/\sin^2\theta \eqno (4.3.1.15)]$ [for λ in Å, [f^B(s)] in Å, and in electron units]. This was used for the other listed values.

4.3.1.3. Approximations of restricted validity

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(a) Kinematical approximation. In the limiting case of a vanishingly weak interaction of the incident electrons with the scattering potential of the crystal, the Born series (4.3.1.5) may be terminated at the term $[\psi_1]$ , corresponding to single scattering. Then the diffracted wave is given for a potential $[\varphi(r)]$ as $[\psi({\bf s})(\exp-ikR)/R]$ , with $[\psi({\bf s})=K\textstyle\int\limits\varphi({\bf r})\exp\{i[{\bf r}\cdot{\bf s}]\}\,{\rm d}\tau_{\bf r},\eqno (4.3.1.16)]$ where R is the distance to the point of observation. For a periodic potential, $[\varphi({\bf r})]$ , the scattering amplitude for the h beam is $[\psi({\bf h})=NK\textstyle\int\limits\varphi({\bf r})\exp\{2\pi i{\bf h}\cdot{\bf r}\}\,{\rm d}\tau_{\bf r},\eqno (4.3.1.17)]$ where the integral is taken over one unit cell and N is the number of unit cells. From (4.3.1.16), it then follows that the scattering amplitude $[\psi({\bf h})]$ is proportional to the structure amplitude, $[V({\bf h})]$ ; $[\eqalignno{ \psi({\bf h}) &=NKV(h) &(4.3.1.18)\cr &=NK\textstyle\sum\limits_i\,f_{{\rm el},i}({\bf h})\exp\{2\pi i{\bf h}\cdot {\bf r}_i\}. &(4.3.1.19)}%fd4.3.1.19]$ The intensity of the h diffracted beam is then proportional to $[\psi({\bf h})\psi^*({\bf h})]$ , and so to $[|V({\bf h})|{}^2]$ .

Similarly, we may write the differential scattering cross section for the scattering from a single isolated atom as $[|\,f^B(s)|{}^2=K^2|V_i(s)|{}^2.\eqno (4.3.1.20)]$
(b) Two-beam approximation. For some specific orientations of a crystal of relatively simple structure, the incident beam may be close to the Bragg angle for a strong, inner reflection but not for any other reflection. Then the approximation may be made that only those beams with indices 0 and h have appreciable intensity. The intensities of these beams for a parallel-sided, plate-shaped, centrosymmetric crystal are given in MacGillavry's (1940 ) development of the theory of Bethe (1928 ) as $[I({\bf h})=I_0\{\sigma V({\bf h})\}^2{\sin^2\{\pi t(\zeta^2_{\bf h}+\xi^{-2}_{\bf h})^{1/2}\}\over \pi^2(\zeta^2_{\bf h}+\xi^{-2}_{\bf h})}\eqno (4.3.1.21)]$ and $[I({\bf 0})=I_0-I({\bf h})]$ , where is the incident-beam intensity, t is the crystal thickness, $[\xi_{\bf h}]$ is the extinction distance given by $[\xi_{\bf h}=\pi/\sigma V({\bf h})]$ , and $[\zeta_{\bf h}]$ is the excitation error which measures the distance of the reciprocal-lattice point h from the Ewald sphere.

A formula due to Blackman (1939 ), obtained by integrating (4.3.1.21) over $[\xi_{\bf h}]$ , provides a useful first approximation for the intensities of ring or arc patterns given by polycrystalline material (see Section 2.5.2 ).
(c) Phase-grating approximations. For extremely thin crystals, the scattering can be approximated by that of a two-dimensional potential distribution given by projection of the three-dimensional distribution in the beam direction. Then, by analogy with (4.3.1.6), the emerging wave is $[\psi(xy)=\exp\{-i\sigma\varphi(xy)\}\eqno (4.3.1.22)]$ when $[\varphi(xy)=\textstyle\int\limits^H_0\varphi(xyz)\,{\rm d} z\eqno (4.3.1.23)]$ and the diffraction amplitudes are given by the Fourier transform of this expression.

For thicker crystals, this approximation applies in the limit of very high electron-accelerating voltage, with the value of σ appropriate for the Compton wavelength, λ = 0.024262 Å, viz σ = 0.0005068.

It may be noted that for the special case of a single layer of atoms the solution of the wave equations (4.3.1.2) or (4.3.1.4), with the real potential (4.3.1.1) inserted, leads to a form equivalent to the Moliere high-energy approximation for the scattering by single atoms, namely $[KV(s)=-{i\over\lambda} \int\limits^\infty_{-\infty}\, \{\exp[-i \sigma\varphi({\boldrho})]-1\}\exp\{i{\boldrho}\cdot{\bf s}\}\,{\rm d}^2{\boldrho},\eqno (4.3.1.24)]$ where $[\boldrho]$ is a two-dimensional vector with components x, y, and $[\varphi({\boldrho})=\textstyle\int\limits^\infty_{-\infty}\,\varphi({\boldrho},z)\,{\rm d} z,\eqno (4.3.1.25)]$ and this, in the low-angle approximation, is the same as (4.3.1.23). Then the scattered amplitude can be considered as made up from contributions from individual atoms that are equal (apart from bonding effects) to the complex atomic scattering amplitudes tabulated in connection with the diffraction of electrons by gases.

4.3.1.4. Relativistic effects

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It has been shown by Fujiwara (1961 ) that, at least for electron energies up to 1 MeV or so, the relativistic effects on diffraction amplitudes and geometry are adequately described by the use of relativisitically corrected values for the mass and wavelength of the electrons; $[m=m_0(1-\beta^2)^{-1/2} \eqno (4.3.1.26)]$ $[\eqalignno{ \lambda&= h\bigg/\left[2em_0E\left(1+{eE\over2m_0c^2}\right)\right]^{1/2} =\lambda_c{(1-\beta^2)^{1/2}\over\beta} \cr &=12.2639/(E+0.97845\times10^{-6}\,E^2)^{1/2}, &(4.3.1.27)}]$ where [m_0] is the rest mass, $[\lambda_c]$ is the Compton wavelength $[\beta=\nu/c]$ , and λ is given in Å if E is in volts. Consequently, σ varies with the incident electron energy as $[[1+h^2/m^2_0c^2\lambda^2)]^{1/2}]$ , or $[\sigma=2\pi/\{\lambda E[1+(1-\beta^2)^{1/2}]\}.]$ Values of λ, $[\lambda^{-1},m/m_0,]$ β = ν/c, and σ are listed for various values of the accelerating voltage, E, in Table 4.3.2.1 with λ in Å and E in volts.

Table 4.3.2.1| top | pdf |
Parameters useful in electron diffraction as a function of accelerating voltage, E

E (keV)	λ	1/λ		v/c	σ
1	0.387629	2.57979	1.00196	0.06247	0.0081126
2	0.273961	3.65016	1.00391	0.08821	0.0057448
3	0.223579	4.47270	1.00587	0.10788	0.0046975
4	0.193530	5.16715	1.00783	0.12439	0.0040741
5	0.173015	5.77986	1.00978	0.13887	0.0036493

6	0.157863	6.33460	1.01174	0.15191	0.0033361
7	0.146082	6.84548	1.01370	0.16384	0.0030931
8	0.136581	7.32168	1.01566	0.17490	0.0028975
9	0.128707	7.76958	1.01761	0.18524	0.0027358
10	0.122043	8.19383	1.01957	0.19498	0.0025991

15	0.099407	10.05963	1.02935	0.23711	0.0021374
20	0.085882	11.64383	1.03914	0.27186	0.0018641
25	0.076632	13.04940	1.04892	0.30184	0.0016790
30	0.069789	14.32899	1.05871	0.32837	0.0015433
35	0.064459	15.51381	1.06849	0.35227	0.0014386

40	0.060153	16.62414	1.07828	0.37406	0.0013548
45	0.056580	17.67403	1.08806	0.39410	0.0012859
50	0.053551	18.67366	1.09784	0.41268	0.0012280
55	0.050941	19.63072	1.10763	0.43000	0.0011786
60	0.048659	20.55115	1.11741	0.44622	0.0011357

65	0.046642	21.43968	1.12720	0.46147	0.0010982
70	0.044843	22.30012	1.13698	0.47586	0.0010650
75	0.043223	23.13560	1.14677	0.48948	0.0010354
80	0.041756	23.94874	1.15655	0.50239	0.0010087
85	0.040418	24.74173	1.16634	0.51467	0.0009847

90	0.039190	25.51646	1.17612	0.52637	0.0009628
95	0.038060	26.27454	1.18591	0.53754	0.0009428
100	0.037013	27.01738	1.19569	0.54822	0.0009244
120	0.033491	29.85866	1.23483	0.58667	0.0008638
140	0.030739	32.53222	1.27397	0.61956	0.0008180

160	0.028509	35.07642	1.31310	0.64810	0.0007820
180	0.026654	37.51759	1.35224	0.67314	0.0007529
200	0.025079	39.87466	1.39138	0.69531	0.0007289
250	0.021986	45.48412	1.48922	0.74101	0.0006839
300	0.019687	50.79517	1.58707	0.77652	0.0006526

350	0.017891	55.89295	1.68491	0.80483	0.0006297
400	0.016439	60.83109	1.78276	0.82786	0.0006122
450	0.015233	65.64563	1.88060	0.84691	0.0005984
500	0.014212	70.36195	1.97845	0.86286	0.0005873
550	0.013334	74.99858	2.07629	0.87638	0.0005783

600	0.012568	79.56945	2.17414	0.88794	0.0005707
650	0.011893	84.08529	2.27198	0.89793	0.0005644
700	0.011292	88.55452	2.36983	0.90661	0.0005590
750	0.010755	92.98385	2.46767	0.91421	0.0005543
800	0.010269	97.37874	2.56552	0.92091	0.0005503

850	0.009829	101.74364	2.66336	0.92684	0.0005468
900	0.009427	106.08226	2.76121	0.93212	0.0005437
950	0.009058	110.39769	2.85905	0.93684	0.0005410
1000	0.008719	114.69256	2.95690	0.94108	0.0005385
1100	0.008115	123.22919	3.15259	0.94836	0.0005344

1200	0.007593	131.70646	3.34828	0.95436	0.0005310
1300	0.007136	140.13516	3.54397	0.95936	0.0005282
1400	0.006733	148.52355	3.73966	0.96358	0.0005259
1500	0.006374	156.87810	3.93535	0.96718	0.0005240

4.3.1.5. Absorption effects

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Any scattering process, whether elastic or inelastic, which removes energy from the set of diffracted beams being considered, may be said to constitute an absorption process. For example, for a measurement of the intensities of the elastically scattered, sharp Bragg reflections from a crystal, any process which gives diffuse background scattering or results in a detectable loss of energy gives rise to absorption.

The diffracted amplitudes in such cases may be calculated, at least as a first approximation, in terms of a complex potential, $[\varphi_c({\bf r})]$ , containing an imaginary part $[\varphi_i(r)]$ due to an `absorption function' and a small added real part $[\Delta\varphi(r)]$ . Then under the crystallographic sign convention, $[\varphi_c(r)=\varphi(r)-i\varphi_i(r)+\Delta\varphi(r)]$ . Correspondingly, for a centrosymmetric crystal, the structure amplitude becomes complex and may be written $[V({\bf h})=V_0({\bf h})-iV'({\bf h})+V''({\bf h}).\eqno (4.3.1.28)]$ Under the appropriate conditions of observation, important contributions to the imaginary and real additions to the structure amplitudes may be given by the excitation of phonons, plasmons, or electron transitions, or by diffuse scattering due to crystal defects or disorder.

The additional terms $[iV'({\bf h})]$ and $[V''({\bf h})]$ , however, are not invariant properties of the crystal structure but depend on the conditions of the diffraction experiment, such as the accelerating voltage and orientation of the incident beam, the aperture or resolution of the recording system, and the use of energy filtering or discrimination. In spite of this, it may often be convenient to treat them as being produced by phenomenological complex potentials, defined for a limited range of experimental conditions.

4.3.1.6. Tables of atomic scattering amplitudes for electrons

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Tables 4.3.1.1 and 4.3.1.2 list values of [f^B(s)] in Å for all neutral atoms and most chemically significant ions, respectively. The values have been given by Doyle & Turner (1968 ) for several cases, denoted by RHF using the relativistic Hartree–Fock atomic potentials of Coulthard (1967 ). For all other atoms and ions, has been found using the Mott–Bethe formula [equation (4.3.1.15)] for $[s\neq0]$ , and the X-ray scattering factors of Table 2.2A of IT IV (1974 ). Thus all other neutral atoms except hydrogen are based on the relativistic Hartree–Fock wavefunctions of Mann (1968 ). These are designated by *RHF. For H and for ions below Rb, denoted by HF, [f^B(s)] is ultimately based on the nonrelativistic Hartree–Fock wavefunctions of Mann (1968 ). For ions above Rb, denoted by *DS, modified relativistic Dirac–Slater wavefunctions calculated by Cromer & Waber (1974 ) are used.

For low values of s, the Mott formula becomes less accurate, since [[Z-f_x(s)]] tends to zero with s for neutral atoms. Except for the RHF atoms, [f^B(s)] for s from 0.01 to 0.03 are omitted in Table 4.3.1.1 and for s from 0.04 to 0.11, only two decimal places are given. is then accurate to the figure quoted. For these atoms, [f^B(0)] was found using the formula given by Ibers (1958 ): $[f^B(0)={4\pi me^2\over 3h^2}Z\langle r^2\rangle, \eqno (4.3.1.29)]$ where $[\langle r^2\rangle]$ is the mean-square atomic radius.

For ionized atoms, $[f_{\rm el}(0)=\pm\infty]$ . The values listed at s = 0 in Table 4.3.1.2 for RHF atoms were calculated by Doyle & Turner (1968 ) with $[\varphi(r)]$ in equation (4.3.1.13) replaced by $[\varphi'({\bf r})]$ , where $[\varphi'({\bf r})=\varphi({\bf r})-e\Delta Z/r. \eqno (4.3.1.30)]$ Here, $[\Delta Z]$ is the ionic charge. This approach omits the Coulomb field due to the excess or deficiency of charge on the nucleus. With the use of these values, the structure factor for forward scattering by a neutral unit cell containing ions may be found in the conventional way. Similar values are not available for other ions because the atomic potential data are lacking.

For computer applications, numerical approximations to the f(s) of these tables have been given by Doyle & Turner (1968 ) as sums of Gaussians for the range s = 0 to 2 Å⁻¹. An alternative is to make Gaussian fits to X-ray scattering factors , then use the Mott formula to derive electron scattering factors. As discussed by Peng & Cowley (1988 ), this practice may lead to problems for small values of s. An additional problem occurs in high-resolution electron-microscopy (HREM) image-simulation programs, where it is usually necessary to have electron scattering factors for the range 0 to 6 Å⁻¹. Fox, O'Keefe & Tabbernor (1989 ) point out that extrapolation of the Gaussian fits of Doyle & Turner (1968 ) to values past 2 Å⁻¹ can be highly inaccurate. For the range of s from 2 to 6 Å⁻¹, Fox et al. have used sums of polynomials to make accurate fits to the X-ray scattering factors of Doyle & Turner (1968 ) for many elements (Section 6.1.1 ), and electron scattering factors can be generated from these data by use of the Mott formula.

Recently, Rez, Rez & Grant (1994 ) have published new tables of X-ray scattering factors obtained using a multiconfiguration Dirac–Fock code and two parameterizations in terms of four Gaussians, one of higher accuracy over the range of about 2 Å⁻¹ and the other of lower accuracy over the extended range of about 6 Å⁻¹. These authors suggest that electron scattering factors may best be obtained from these X-ray scattering factors by using the Mott formula. They provide a table of values for the electron scattering factor values for zero scattering angle, $[f_{\rm el}(0)]$ , for many elements and ions, which may be of value for the calculation of mean inner potentials.

4.3.1.7. Use of Tables 4.3.1.1 and 4.3.1.2

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In order to calculate the Fourier coefficients V(h) of the potential distribution $[\varphi ({\bf r})]$ , for insertion in the formulae used to calculate intensities [such as (4.3.1.6), (4.3.1.20), (4.3.1.21)], or in the numerical methods for dynamical diffraction calculations , use $[{V}({\bf h})({\rm in\ volts})=47.87801\Phi ({\bf h})/\Omega, \eqno (4.3.1.31)]$ where $[\Phi ({\bf h})=\textstyle\sum\limits_i f_i\exp \{2\pi i\ {\bf h}\cdot {\bf r}_i\}. \eqno (4.3.1.32)]$ The [f_i] values are obtained from Tables 4.3.1.1 and 4.3.1.2 , and $[\Omega]$ is the unit-cell volume in Å³. The V(h) and the [f_i] tabulated are properties of the crystal structure and the isolated atoms, respectively, and are independent of the particular scattering theory assumed.

Expressions for the calculation of intensities in the kinematical approximation are given for powder patterns and oblique texture patterns in Section 2.5.4 , and for thin crystal plates in Section 2.5.2 of Volume B (IT B, 2001 ). Since the formulas for kinematical scattering, such as (4.3.1.19) and (4.3.1.20), include the parameter K = σ /λ, which varies with the energy of the electron beam through relativistic effects, it may be considered that the electron scattering factors for kinematical calculations should be multiplied by relativistic factors.

For high-energy electrons, the relativistic variations of the electron mass, the electron wavelength and the interaction constant, σ, become significant. The relations are $[\eqalignno{ m &=m_0(1-\beta ^2)^{-1/2}, \cr \lambda &=h\left [2em_0E\left (1+{eE \over 2m_0c^2}\right) \right] ^{-1/2} \cr &=\lambda _c {(1-\beta ^2)^{1/2}\over\beta}, & (4.3.1.33)}]$ where [m_0] is the rest mass, $[\lambda _c]$ is the Compton wavelength, [h/m_0c ] , and $[\beta =v/c]$ . Consequently, $[\sigma ]$ varies with the incident electron energy as $[\eqalignno{ \sigma &=2\pi /\{\lambda E[1+(1-\beta ^2){}^{1/2}]\} \cr &=2\pi e/hc\beta . & (4.3.1.34)}]$

For the calculation of intensities in the kinematical approximation, the values of [f^B(s)] listed in Tables 4.3.1.1 and 4.3.1.2, which were calculated using [m_0] , must be multiplied by $[m/m_0=(1-\beta ^2){}^{-1/2}]$ for electrons of velocity v. Values of λ, 1/λ, [m/m_0] , β = v/c, and σ are listed for various values of the accelerating voltage, E, in Table 4.3.2.1 .

4.3.2. Parameterizations of electron atomic scattering factors

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J. M. Cowley,^b ^‡ L. M. Peng,ⁱ G. Ren,^j S. L. Dudarev^c and M. J. Whelan^c

For computer applications, numerical approximations to the f(s) of Tables 4.3.1.1 or 4.3.1.2 are usually preferred and various approximations as sums of Gaussians have been proposed. The initial Gaussian fits were given by Doyle & Turner (1968 ) for the range s = 0 to 2 Å⁻¹. However, for some purposes, as in the image-simulation programs for high-resolution electron microscopy, atomic scattering factors are needed for higher s values, up to 6 Å⁻¹, and, as pointed out by Fox, O'Keefe & Tabbernor (1989 ), extrapolation of the Gaussian fits of Doyle & Turner to values above 2 Å⁻¹ can be highly inaccurate.

An alternative approach to obtaining numerical values for the electron scattering factors is to make use of the polynomial fits to X-ray scattering factors of Fox et al. or the more recent tables of X-ray scattering factors produced by Rez, Rez & Grant (1994 ), who used a multiconfiguration Dirac–Fock code and two parameterizations in terms of four Gaussians, one of higher accuracy over the range of about 2 Å⁻¹ and the other of lower accuracy over the extended range of about 6 Å⁻¹. The electron scattering factors may then be derived from the X-ray scattering factors by use of the Mott formula (4.3.1.14). For small angles of scattering, the determination of electron scattering factors in this way may give problems, since the X-ray scattering factor tends to the atomic number, and both the numerator and denominator of (4.3.1.14) tend to zero. However, the electron scattering factor may be determined for zero scattering angle using equation (4.3.1.29) and Rez, Rez & Grant (1994 ) listed values of $[f_{\rm {el}}(0)]$ for many elements and ions.

Recently, Peng, Ren, Dudarev & Whelan (1996 ) have developed a new algorithm, based on a combined modified simulated-annealing and least-squares method, to parameterize both the elastic and absorptive scattering factors as sums of five Gaussians of the form $[ f_{\rm {el}} (s) =\textstyle \sum \limits _{i=1}^n a_i\exp (-b_is^2), \eqno (4.3.2.1)]$ where [a_i] and [b_i] are fitting parameters. The values of their fitting parameters for the range of s values from 0 to 2.0 for elastic electron scattering factors for all neutral atoms with atomic numbers up to 98 are given in Table 4.3.2.2 and the values obtained separately for these atoms for the range of s from 0 to 6.0 Å⁻¹ are given in Table 4.3.2.3 . For Table 4.3.2.2 , the fitting was made to the values of f given in Table 4.3.1.1 . For Table 4.3.2.3 , the f values in the range of s from 2.0 to 6.0 Å⁻¹ were those obtained by using the Mott formula to convert the X-ray scattering factors derived from the Dirac–Fock calculations of Rez, Rez & Grant (1994 ). Similar tables for atomic scattering factors of ions can be found in Peng (1998 ).

Table 4.3.2.2| top | pdf |
Elastic atomic scattering factors of electrons for neutral atoms and s up to 2.0 Å⁻¹

Element	Z
H	1	0.0349	0.1201	0.1970	0.0573	0.1195	0.5347	3.5867	12.3471	18.9525	38.6269
He	2	0.0317	0.0838	0.1526	0.1334	0.0164	0.2507	1.4751	4.4938	12.6646	31.1653
Li	3	0.0750	0.2249	0.5548	1.4954	0.9354	0.3864	2.9383	15.3829	53.5545	138.7337
Be	4	0.0780	0.2210	0.6740	1.3867	0.6925	0.3131	2.2381	10.1517	30.9061	78.3273
B	5	0.0909	0.2551	0.7738	1.2136	0.4606	0.2995	2.1155	8.3816	24.1292	63.1314

C	6	0.0893	0.2563	0.7570	1.0487	0.3575	0.2465	1.7100	6.4094	18.6113	50.2523
N	7	0.1022	0.3219	0.7982	0.8197	0.1715	0.2451	1.7481	6.1925	17.3894	48.1431
O	8	0.0974	0.2921	0.6910	0.6990	0.2039	0.2067	1.3815	4.6943	12.7105	32.4726
F	9	0.1083	0.3175	0.6487	0.5846	0.1421	0.2057	1.3439	4.2788	11.3932	28.7881
Ne	10	0.1269	0.3535	0.5582	0.4674	0.1460	0.2200	1.3779	4.0203	9.4934	23.1278

Na	11	0.2142	0.6853	0.7692	1.6589	1.4482	0.3334	2.3446	10.0830	48.3037	138.2700
Mg	12	0.2314	0.6866	0.9677	2.1882	1.1339	0.3278	2.2720	10.9241	39.2898	101.9748
Al	13	0.2390	0.6573	1.2011	2.5586	1.2312	0.3138	2.1063	10.4163	34.4552	98.5344
Si	14	0.2519	0.6372	1.3795	2.5082	1.0500	0.3075	2.0174	9.6746	29.3744	80.4732
P	15	0.2548	0.6106	1.4541	2.3204	0.8477	0.2908	1.8740	8.5176	24.3434	63.2996

S	16	0.2497	0.5628	1.3899	2.1865	0.7715	0.2681	1.6711	7.0267	19.5377	50.3888
Cl	17	0.2443	0.5397	1.3919	2.0197	0.6621	0.2468	1.5242	6.1537	16.6687	42.3086
Ar	18	0.2385	0.5017	1.3428	1.8899	0.6079	0.2289	1.3694	5.2561	14.0928	35.5361
K	19	0.4115	1.4031	2.2784	2.6742	2.2162	0.3703	3.3874	13.1029	68.9592	194.4329
Ca	20	0.4054	1.3880	2.1602	3.7532	2.2063	0.3499	3.0991	11.9608	53.9353	142.3892

Sc	21	0.3787	1.2181	2.0594	3.2618	2.3870	0.3133	2.5856	9.5813	41.7688	116.7282
Ti	22	0.3825	1.2598	2.0008	3.0617	2.0694	0.3040	2.4863	9.2783	39.0751	109.4583
V	23	0.3876	1.2750	1.9109	2.8314	1.8979	0.2967	2.3780	8.7981	35.9528	101.7201
Cr	24	0.4046	1.3696	1.8941	2.0800	1.2196	0.2986	2.3958	9.1406	37.4701	113.7121
Mn	25	0.3796	1.2094	1.7815	2.5420	1.5937	0.2699	2.0455	7.4726	31.0604	91.5622

Fe	26	0.3946	1.2725	1.7031	2.3140	1.4795	0.2717	2.0443	7.6007	29.9714	86.2265
Co	27	0.4118	1.3161	1.6493	2.1930	1.2830	0.2742	2.0372	7.7205	29.9680	84.9383
Ni	28	0.3860	1.1765	1.5451	2.0730	1.3814	0.2478	1.7660	6.3107	25.2204	74.3146
Cu	29	0.4314	1.3208	1.5236	1.4671	0.8562	0.2694	1.9223	7.3474	28.9892	90.6246
Zn	30	0.4288	1.2646	1.4472	1.8294	1.0934	0.2593	1.7998	6.7500	25.5860	73.5284

Ga	31	0.4818	1.4032	1.6561	2.4605	1.1054	0.2825	1.9785	8.7546	32.5238	98.5523
Ge	32	0.4655	1.3014	1.6088	2.6998	1.3003	0.2647	1.7926	7.6071	26.5541	77.5238
As	33	0.4517	1.2229	1.5852	2.7958	1.2638	0.2493	1.6436	6.8154	22.3681	62.0390
Se	34	0.4477	1.1678	1.5843	2.8087	1.1956	0.2405	1.5442	6.3231	19.4610	52.0233
Br	35	0.4798	1.1948	1.8695	2.6953	0.8203	0.2504	1.5963	6.9653	19.8492	50.3233

Kr	36	0.4546	1.0993	1.7696	2.7068	0.8672	0.2309	1.4279	5.9449	16.6752	42.2243
Rb	37	1.0160	2.8528	3.5466	−7.7804	12.1148	0.4853	5.0925	25.7851	130.4515	138.6775
Sr	38	0.6703	1.4926	3.3368	4.4600	3.1501	0.3190	2.2287	10.3504	52.3291	151.2216
Y	39	0.6894	1.5474	3.2450	4.2126	2.9764	0.3189	2.2904	10.0062	44.0771	125.0120
Zr	40	0.6719	1.4684	3.1668	3.9557	2.8920	0.3036	2.1249	8.9236	36.8458	108.2049

Nb	41	0.6123	1.2677	3.0348	3.3841	2.3683	0.2709	1.7683	7.2489	27.9465	98.5624
Mo	42	0.6773	1.4798	3.1788	3.0824	1.8384	0.2920	2.0606	8.1129	30.5336	100.0658
Tc	43	0.7082	1.6392	3.1993	3.4327	1.8711	0.2976	2.2106	8.5246	33.1456	96.6377
Ru	44	0.6735	1.4934	3.0966	2.7254	1.5597	0.2773	1.9716	7.3249	26.6891	90.5581
Rh	45	0.6413	1.3690	2.9854	2.6952	1.5433	0.2580	1.7721	6.3854	23.2549	85.1517

Pd	46	0.5904	1.1775	2.6519	2.2875	0.8689	0.2324	1.5019	5.1591	15.5428	46.8213
Ag	47	0.6377	1.3790	2.8294	2.3631	1.4553	0.2466	1.6974	5.7656	20.0943	76.7372
Cd	48	0.6364	1.4247	2.7802	2.5973	1.7886	0.2407	1.6823	5.6588	20.7219	69.1109
In	49	0.6768	1.6589	2.7740	3.1835	2.1326	0.2522	1.8545	6.2936	25.1457	84.5448
Sn	50	0.7224	1.9610	2.7161	3.5603	1.8972	0.2651	2.0604	7.3011	27.5493	81.3349

Sb	51	0.7106	1.9247	2.6149	3.8322	1.8899	0.2562	1.9646	6.8852	24.7648	68.9168
Te	52	0.6947	1.8690	2.5356	4.0013	1.8955	0.2459	1.8542	6.4411	22.1730	59.2206
I	53	0.7047	1.9484	2.5940	4.1526	1.5057	0.2455	1.8638	6.7639	21.8007	56.4395
Xe	54	0.6737	1.7908	2.4129	4.2100	1.7058	0.2305	1.6890	5.8218	18.3928	47.2496
Cs	55	1.2704	3.8018	5.6618	0.9205	4.8105	0.4356	4.2058	23.4342	136.7783	171.7561

Ba	56	0.9049	2.6076	4.8498	5.1603	4.7388	0.3066	2.4363	12.1821	54.6135	161.9978
La	57	0.8405	2.3863	4.6139	5.1514	4.7949	0.2791	2.1410	10.3400	41.9148	132.0204
Ce	58	0.8551	2.3915	4.5772	5.0278	4.5118	0.2805	2.1200	10.1808	42.0633	130.9893
Pr	59	0.9096	2.5313	4.5266	4.6376	4.3690	0.2939	2.2471	10.8266	48.8842	147.6020
Nd	60	0.8807	2.4183	4.4448	4.6858	4.1725	0.2802	2.0836	10.0357	47.4506	146.9976

Pm	61	0.9471	2.5463	4.3523	4.4789	3.9080	0.2977	2.2276	10.5762	49.3619	145.3580
Sm	62	0.9699	2.5837	4.2778	4.4575	3.5985	0.3003	2.2447	10.6487	50.7994	146.4179
Eu	63	0.8694	2.2413	3.9196	3.9694	4.5498	0.2653	1.8590	8.3998	36.7397	125.7089
Gd	64	0.9673	2.4702	4.1148	4.4972	3.2099	0.2909	2.1014	9.7067	43.4270	125.9474
Tb	65	0.9325	2.3673	3.8791	3.9674	3.7996	0.2761	1.9511	8.9296	41.5937	131.0122

Dy	66	0.9505	2.3705	3.8218	4.0471	3.4451	0.2773	1.9469	8.8862	43.0938	133.1396
Ho	67	0.9248	2.2428	3.6182	3.7910	3.7912	0.2660	1.8183	7.9655	33.1129	101.8139
Er	68	1.0373	2.4824	3.6558	3.8925	3.0056	0.2944	2.0797	9.4156	45.8056	132.7720
Tm	69	1.0075	2.3787	3.5440	3.6932	3.1759	0.2816	1.9486	8.7162	41.8420	125.0320
Yb	70	1.0347	2.3911	3.4619	3.6556	3.0052	0.2855	1.9679	8.7619	42.3304	125.6499

Lu	71	0.9927	2.2436	3.3554	3.7813	3.0994	0.2701	1.8073	7.8112	34.4849	103.3526
Hf	72	1.0295	2.2911	3.4110	3.9497	2.4925	0.2761	1.8625	8.0961	34.2712	98.5295
Ta	73	1.0190	2.2291	3.4097	3.9252	2.2679	0.2694	1.7962	7.6944	31.0942	91.1089
W	74	0.9853	2.1167	3.3570	3.7981	2.2798	0.2569	1.6745	7.0098	26.9234	81.3910
Re	75	0.9914	2.0858	3.4531	3.8812	1.8526	0.2548	1.6518	6.8845	26.7234	81.7215

Os	76	0.9813	2.0322	3.3665	3.6235	1.9741	0.2487	1.5973	6.4737	23.2817	70.9254
Ir	77	1.0194	2.0645	3.4425	3.4914	1.6976	0.2554	1.6475	6.5966	23.2269	70.0272
Pt	78	0.9148	1.8096	3.2134	3.2953	1.5754	0.2263	1.3813	5.3243	17.5987	60.0171
Au	79	0.9674	1.8916	3.3993	3.0524	1.2607	0.2358	1.4712	5.6758	18.7119	61.5286
Hg	80	1.0033	1.9469	3.4396	3.1548	1.4180	0.2413	1.5298	5.8009	19.4520	60.5753

Tl	81	1.0689	2.1038	3.6039	3.4927	1.8283	0.2540	1.6715	6.3509	23.1531	78.7099
Pb	82	1.0891	2.1867	3.6160	3.8031	1.8994	0.2552	1.7174	6.5131	23.9170	74.7039
Bi	83	1.1007	2.2306	3.5689	4.1549	2.0382	0.2546	1.7351	6.4948	23.6464	70.3780
Po	84	1.1568	2.4353	3.6459	4.4064	1.7179	0.2648	1.8786	7.1749	25.1766	69.2821
At	85	1.0909	2.1976	3.3831	4.6700	2.1277	0.2466	1.6707	6.0197	20.7657	57.2663

Rn	86	1.0756	2.1630	3.3178	4.8852	2.0489	0.2402	1.6169	5.7644	19.4568	52.5009
Fr	87	1.4282	3.5081	5.6767	4.1964	3.8946	0.3183	2.6889	13.4816	54.3866	200.8321
Ra	88	1.3127	3.1243	5.2988	5.3891	5.4133	0.2887	2.2897	10.8276	43.5389	145.6109
Ac	89	1.3128	3.1021	5.3385	5.9611	4.7562	0.2861	2.2509	10.5287	41.7796	128.2973
Th	90	1.2553	2.9178	5.0862	6.1206	4.7122	0.2701	2.0636	9.3051	34.5977	107.9200

Pa	91	1.3218	3.1444	5.4371	5.6444	4.0107	0.2827	2.2250	10.2454	41.1162	124.4449
U	92	1.3382	3.2043	5.4558	5.4839	3.6342	0.2838	2.2452	10.2519	41.7251	124.9023
Np	93	1.5193	4.0053	6.5327	−.1402	6.7489	0.3213	2.8206	14.8878	68.9103	81.7257
Pu	94	1.3517	3.2937	5.3213	4.6466	3.5714	0.2813	2.2418	9.9952	42.7939	132.1739
Am	95	1.2135	2.7962	4.7545	4.5731	4.4786	0.2483	1.8437	7.5421	29.3841	112.4579

Cm	96	1.2937	3.1100	5.0393	4.7546	3.5031	0.2638	2.0341	8.7101	35.2992	109.4972
Bk	97	1.2915	3.1023	4.9309	4.6009	3.4661	0.2611	2.0023	8.4377	34.1559	105.8911
Cf	98	1.2089	2.7391	4.3482	4.0047	4.6497	0.2421	1.7487	6.7262	23.2153	80.3108

Table 4.3.2.3| top | pdf |
Elastic atomic scattering factors of electrons for neutral atoms and s up to 6.0 Å⁻¹

Element	Z
H	1	0.0088	0.0449	0.1481	0.2356	0.0914	0.1152	1.0867	4.9755	16.5591	43.2743
He	2	0.0084	0.0443	0.1314	0.1671	0.0666	0.0596	0.5360	2.4274	7.7852	20.3126
Li	3	0.0478	0.2048	0.5253	1.5225	0.9853	0.2258	2.1032	12.9349	50.7501	136.6280
Be	4	0.0423	0.1874	0.6019	1.4311	0.7891	0.1445	1.4180	8.1165	27.9705	74.8684
B	5	0.0436	0.1898	0.6788	1.3273	0.5544	0.1207	1.1595	6.2474	21.0460	59.3619

C	6	0.0489	0.2091	0.7537	1.1420	0.3555	0.1140	1.0825	5.4281	17.8811	51.1341
N	7	0.0267	0.1328	0.5301	1.1020	0.4215	0.0541	0.5165	2.8207	10.6297	34.3764
O	8	0.0365	0.1729	0.5805	0.8814	0.3121	0.0652	0.6184	2.9449	9.6298	28.2194
F	9	0.0382	0.1822	0.5972	0.7707	0.2130	0.0613	0.5753	2.6858	8.8214	25.6668
Ne	10	0.0380	0.1785	0.5494	0.6942	0.1918	0.0554	0.5087	2.2639	7.3316	21.6912

Na	11	0.1260	0.6442	0.8893	1.8197	1.2988	0.1684	1.7150	8.8386	50.8265	147.2073
Mg	12	0.1130	0.5575	0.9046	2.1580	1.4735	0.1356	1.3579	6.9255	32.3165	92.1138
Al	13	0.1165	0.5504	1.0179	2.6295	1.5711	0.1295	1.2619	6.8242	28.4577	88.4750
Si	14	0.0567	0.3365	0.8104	2.4960	2.1186	0.0582	0.6155	3.2522	16.7929	57.6767
P	15	0.1005	0.4615	1.0663	2.5854	1.2725	0.0977	0.9084	4.9654	18.5471	54.3648

S	16	0.0915	0.4312	1.0847	2.4671	1.0852	0.0838	0.7788	4.3462	15.5846	44.6365
Cl	17	0.0799	0.3891	1.0037	2.3332	1.0507	0.0694	0.6443	3.5351	12.5058	35.8633
Ar	18	0.1044	0.4551	1.4232	2.1533	0.4459	0.0853	0.7701	4.4684	14.5864	41.2474
K	19	0.2149	0.8703	2.4999	2.3591	3.0318	0.1660	1.6906	8.7447	46.7825	165.6923
Ca	20	0.2355	0.9916	2.3959	3.7252	2.5647	0.1742	1.8329	8.8407	47.4583	134.9613

Sc	21	0.4636	2.0802	2.9003	1.4193	2.4323	0.3682	4.0312	22.6493	71.8200	103.3691
Ti	22	0.2123	0.8960	2.1765	3.0436	2.4439	0.1399	1.4568	6.7534	33.1168	101.8238
V	23	0.2369	1.0774	2.1894	3.0825	1.7190	0.1505	1.6392	7.5691	36.8741	107.8517
Cr	24	0.1970	0.8228	2.0200	2.1717	1.7516	0.1197	1.1985	5.4097	25.2361	94.4290
Mn	25	0.1943	0.8190	1.9296	2.4968	2.0625	0.1135	1.1313	5.0341	24.1798	80.5598

Fe	26	0.1929	0.8239	1.8689	2.3694	1.9060	0.1087	1.0806	4.7637	22.8500	76.7309
Co	27	0.2186	0.9861	1.8540	2.3258	1.4685	0.1182	1.2300	5.4177	25.7602	80.8542
Ni	28	0.2313	1.0657	1.8229	2.2609	1.1883	0.1210	1.2691	5.6870	27.0917	83.0285
Cu	29	0.3501	1.6558	1.9582	0.2134	1.4109	0.1867	1.9917	11.3396	53.2619	63.2520
Zn	30	0.1780	0.8096	1.6744	1.9499	1.4495	0.0876	0.8650	3.8612	18.8726	64.7016

Ga	31	0.2135	0.9768	1.6669	2.5662	1.6790	0.1020	1.0219	4.6275	22.8742	80.1535
Ge	32	0.2135	0.9761	1.6555	2.8938	1.6356	0.0989	0.9845	4.5527	21.5563	70.3903
As	33	0.2059	0.9518	1.6372	3.0490	1.4756	0.0926	0.9182	4.3291	19.2996	58.9329
Se	34	0.1574	0.7614	1.4834	3.0016	1.7978	0.0686	0.6808	3.1163	14.3458	44.0455
Br	35	0.1899	0.8983	1.6358	3.1845	1.1518	0.0810	0.7957	3.9054	15.7701	45.6124

Kr	36	0.1742	0.8447	1.5944	3.1507	1.1338	0.0723	0.7123	3.5192	13.7724	39.1148
Rb	37	0.3781	1.4904	3.5753	3.0031	3.3272	0.1557	1.5347	9.9947	51.4251	185.9828
Sr	38	0.3723	1.4598	3.5124	4.4612	3.3031	0.1480	1.4643	9.2320	49.8807	148.0937
Y	39	0.3234	1.2737	3.2115	4.0563	3.7962	0.1244	1.1948	7.2756	34.1430	111.2079
Zr	40	0.2997	1.1879	3.1075	3.9740	3.5769	0.1121	1.0638	6.3891	28.7081	97.4289

Nb	41	0.1680	0.9370	2.7300	3.8150	3.0053	0.0597	0.6524	4.4317	19.5540	85.5011
Mo	42	0.3069	1.1714	3.2293	3.4254	2.1224	0.1101	1.0222	5.9613	25.1965	93.5831
Tc	43	0.2928	1.1267	3.1675	3.6619	2.5942	0.1020	0.9481	5.4713	23.8153	82.8991
Ru	44	0.2604	1.0442	3.0761	3.2175	1.9448	0.0887	0.8240	4.8278	19.8977	80.4566
Rh	45	0.2713	1.0556	3.1416	3.0451	1.7179	0.0907	0.8324	4.7702	19.7862	80.2540

Pd	46	0.2003	0.8779	2.6135	2.8594	1.0258	0.0659	0.6111	3.5563	12.7638	44.4283
Ag	47	0.2739	1.0503	3.1564	2.7543	1.4328	0.0881	0.8028	4.4451	18.7011	79.2633
Cd	48	0.3072	1.1303	3.2046	2.9329	1.6560	0.0966	0.8856	4.6273	20.6789	73.4723
In	49	0.3564	1.3011	3.2424	3.4839	2.0459	0.1091	1.0452	5.0900	24.6578	88.0513
Sn	50	0.2966	1.1157	3.0973	3.8156	2.5281	0.0896	0.8268	4.2242	20.6900	71.3399

Sb	51	0.2725	1.0651	2.9940	4.0697	2.5682	0.0809	0.7488	3.8710	18.8800	60.6499
Te	52	0.2422	0.9692	2.8114	4.1509	2.8161	0.0708	0.6472	3.3609	16.0752	50.1724
I	53	0.2617	1.0325	2.8097	4.4809	2.3190	0.0749	0.6914	3.4634	16.3603	48.2522
Xe	54	0.2334	0.9496	2.6381	4.4680	2.5020	0.0655	0.6050	3.0389	14.0809	41.0005
Cs	55	0.5713	2.4866	4.9795	4.0198	4.4403	0.1626	1.8213	11.1049	49.0568	202.9987

Ba	56	0.5229	2.2874	4.7243	5.0807	5.6389	0.1434	1.6019	9.4511	42.7685	148.4969
La	57	0.5461	2.3856	5.0653	5.7601	4.0463	0.1479	1.6552	10.0059	47.3245	145.8464
Ce	58	0.2227	1.0760	2.9482	5.8496	7.1834	0.0571	0.5946	3.2022	16.4253	95.7030
Pr	59	0.5237	2.2913	4.6161	4.7233	4.8173	0.1360	1.5068	8.8213	41.9536	141.2424
Nd	60	0.5368	2.3301	4.6058	4.6621	4.4622	0.1378	1.5140	8.8719	43.5967	141.8065

Pm	61	0.5232	2.2627	4.4552	4.4787	4.5073	0.1317	1.4336	8.3087	40.6010	135.9196
Sm	62	0.5162	2.2302	4.3449	4.3598	4.4292	0.1279	1.3811	7.9629	39.1213	132.7846
Eu	63	0.5272	2.2844	4.3361	4.3178	4.0908	0.1285	1.3943	8.1081	40.9631	134.1233
Gd	64	0.9664	3.4052	5.0803	1.4991	4.2528	0.2641	2.6586	16.2213	80.2060	92.5359
Tb	65	0.5110	2.1570	4.0308	3.9936	4.2466	0.1210	1.2704	7.1368	35.0354	123.5062

Dy	66	0.4974	2.1097	3.8906	3.8100	4.3084	0.1157	1.2108	6.7377	32.4150	116.9225
Ho	67	0.4679	1.9693	3.7191	3.9632	4.2432	0.1069	1.0994	5.9769	27.1491	96.3119
Er	68	0.5034	2.1088	3.8232	3.7299	3.8963	0.1141	1.1769	6.6087	33.4332	116.4913
Tm	69	0.4839	2.0262	3.6851	3.5874	4.0037	0.1081	1.1012	6.1114	30.3728	110.5988
Yb	70	0.5221	2.1695	3.7567	3.6685	3.4274	0.1148	1.1860	6.7520	35.6807	118.0692

Lu	71	0.4680	1.9466	3.5428	3.8490	3.6594	0.1015	1.0195	5.6058	27.4899	95.2846
Hf	72	0.4048	1.7370	3.3399	3.9448	3.7293	0.0868	0.8585	4.6378	21.6900	80.2408
Ta	73	0.3835	1.6747	3.2986	4.0462	3.4303	0.0810	0.8020	4.3545	19.9644	73.6337
W	74	0.3661	1.6191	3.2455	4.0856	3.2064	0.0761	0.7543	4.0952	18.2886	68.0967
Re	75	0.3933	1.6973	3.4202	4.1274	2.6158	0.0806	0.7972	4.4237	19.5692	68.7477

Os	76	0.3854	1.6555	3.4129	4.1111	2.4106	0.0787	0.7638	4.2441	18.3700	65.1071
Ir	77	0.3510	1.5620	3.2946	4.0615	2.4382	0.0706	0.6904	3.8266	16.0812	58.7638
Pt	78	0.3083	1.4158	2.9662	3.9349	2.1709	0.0609	0.5993	3.1921	12.5285	49.7675
Au	79	0.3055	1.3945	2.9617	3.8990	2.0026	0.0596	0.5827	3.1035	11.9693	47.9106
Hg	80	0.3593	1.5736	3.5237	3.8109	1.6953	0.0694	0.6758	3.8457	15.6203	56.6614

Tl	81	0.3511	1.5489	3.5676	4.0900	2.5251	0.0672	0.6522	3.7420	15.9791	65.1354
Pb	82	0.3540	1.5453	3.5975	4.3152	2.7743	0.0668	0.6465	3.6968	16.2056	61.4909
Bi	83	0.3530	1.5258	3.5815	4.5532	3.0714	0.0661	0.6324	3.5906	15.9962	57.5760
Po	84	0.3673	1.5772	3.7079	4.8582	2.8440	0.0678	0.6527	3.7396	17.0668	55.9789
At	85	0.3547	1.5206	3.5621	5.0184	3.0075	0.0649	0.6188	3.4696	15.6090	49.4818

Rn	86	0.4586	1.7781	3.9877	5.7273	1.5460	0.0831	0.7840	4.3599	20.0128	62.1535
Fr	87	0.8282	2.9941	5.6597	4.9292	4.2889	0.1515	1.6163	9.7752	42.8480	190.7366
Ra	88	1.4129	4.4269	7.0460	−1.0573	8.6430	0.2921	3.1381	19.6767	102.0436	113.9798
Ac	89	0.7169	2.5710	5.1791	6.3484	5.6474	0.1263	1.2900	7.3686	32.4490	118.0558
Th	90	0.6958	2.4936	5.1269	6.6988	5.0799	0.1211	1.2247	6.9398	30.0991	105.1960

Pa	91	1.2502	4.2284	7.0489	1.1390	5.8222	0.2415	2.6442	16.3313	73.5757	91.9401
U	92	0.6410	2.2643	4.8713	5.9287	5.3935	0.1097	1.0644	5.7907	25.0261	101.3899
Np	93	0.6938	2.4652	5.1227	5.5965	4.8543	0.1171	1.1757	6.4053	27.5217	103.0482
Pu	94	0.6902	2.4509	5.1284	5.0339	4.8575	0.1153	1.1545	6.2291	27.0741	111.3150
Am	95	0.7577	2.7264	5.4184	4.8198	4.1013	0.1257	1.3044	7.1035	32.4649	118.8647

Cm	96	0.7567	2.7565	5.4364	5.1918	3.5643	0.1239	1.2979	7.0798	32.7871	110.1512
Bk	97	0.7492	2.7267	5.3521	5.0369	3.5321	0.1217	1.2651	6.8101	31.6088	106.4853
Cf	98	0.8100	3.0001	5.4635	4.1756	3.5066	0.1310	1.4038	7.6057	34.0186	90.5226

As an indication of the accuracy with which the parameterized f values of (4.3.2.1) reproduce the numerical values of the reference f values, Peng et al. (1996 ) computed values of $[\varepsilon =100 \sigma /f(0)]$ , where σ is the square root of the mean square deviation, σ², between the numerical and fitted scattering factors. The values of $[\varepsilon]$ are typically in the range 0.02 to 0.05, and are consistently smaller (with a few exceptions) than the corresponding values given for the parameterizations of previous workers (Weickenmeier & Kohl, 1991 ; Bird & King, 1990 ; Doyle & Turner, 1968 ).

For the absorptive scattering factors, corresponding to the imaginary parts added to the real elastic scattering factors as a consequence of inelastic scattering processes, Peng et al. (1996 ) have tabulated values for particular elemental crystals and a selection of crystals of compounds having the zinc-blend structure. The main contribution to the absorptive scattering factors arises from the thermal vibrations of the atoms in the crystals so that the numerical values are not characteristic of the individual atom types but depend on the type of bonding of the atoms in the crystal, as indicated by the Debye–Waller factor, and must be calculated separately for each temperature. The authors offer copies of their computer programs, freely available via electronic mail, from which the parameterization of the absorptive scattering factors can be derived for other materials and temperatures, given the values of the atomic numbers of the elements, the Debye–Waller factor and the electron accelerating voltage.

4.3.3. Complex scattering factors for the diffraction of electrons by gases

| top | pdf |

A. W. Ross,^d M. Fink,^d R. Hilderbrandt,^f J. Wang^k and V. H. Smith Jr^k

4.3.3.1. Introduction

| top | pdf |

This section includes tables of scattering factors of interest for gas-phase electron diffraction from atoms and molecules in the keV energy region. In addition to the tables and a description of their uses, a discussion of the theoretical uncertainties related to the material in the tables is also provided. The tables give scattering factors for elastic and inelastic scattering from free atoms. The theory of molecular scattering based on these atomic quantities is also discussed.

4.3.3.2. Complex atomic scattering factors for electrons

| top | pdf |

4.3.3.2.1. Elastic scattering factors for atoms

| top | pdf |

It has long been known that the first Born approximation provides an inadequate description at the 4% accuracy level for elastic and total differential cross sections in the 40 keV energy range for atoms heavier than Ne (Schomaker & Glauber, 1952 ; Glauber & Schomaker, 1953 ). Results of early experimental work have been confirmed for both atomic and molecular scattering (Kimura, Schomaker, Smith & Weinstock, 1968 ; Bartell & Brockway, 1953 ; Hanson, 1962 ; Fink & Kessler, 1966 ; Geiger, 1964 ; Kessler, 1959 ; Seip, 1965 ; Schäfer & Seip, 1967 ; Kohl & Bonham, 1967 ; Bonham & Cox, 1967 ; Seip & Stølevik, 1966a ,b ; Seip & Seip, 1966 ; Arnesen & Seip, 1966 ; McClelland & Fink, 1985 ; Coffman, Fink & Wellenstein, 1985 ). New partial wave scattering factors based on relativistic Hartree–Fock fields (Biggs, Mendelsohn & Mann, 1975 ) are presented here at a number of energies (Table 4.3.3.1 ). Because of the availability of these partial wave results, first Born approximation results are no longer needed for gas-phase work in this energy range.

Table 4.3.3.1| top | pdf | interactive version
Partial wave elastic scattering factors for neutral atoms

H; Z = 1.

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	5.3956E−01	2.1835E−02	5.7106E−01	1.1403E−02	5.8501E−01	9.6111E−03	6.0222E−01	8.2636E−03
1	4.8779E−01	2.3657E−02	5.1682E−01	1.2341E−02	5.3150E−01	1.0363E−02	5.5125E−01	8.8468E−03
2	3.7546E−01	2.8959E−02	3.9784E−01	1.5102E−02	4.1121E−01	1.2624E−02	4.3188E−01	1.0653E−02
3	2.6709E−01	3.7159E−02	2.8276E−01	1.9391E−02	2.9248E−01	1.6207E−02	3.0790E−01	1.3658E−02
4	1.8733E−01	4.7280E−02	1.9824E−01	2.4676E−02	2.0522E−01	2.0617E−02	2.1554E−01	1.7432E−02
5	1.3383E−01	5.8258E−02	1.4159E−01	3.0404E−02	1.4658E−01	2.5411E−02	1.5436E−01	2.1443E−02
6	9.8468E−02	6.9249E−02	1.0417E−01	3.6134E−02	1.0784E−01	3.0211E−02	1.1349E−01	2.5524E−02
7	7.4696E−02	7.9743E−02	7.9010E−02	4.1605E−02	8.1814E−02	3.4784E−02	8.5989E−02	2.9437E−02
8	5.8260E−02	8.9502E−02	6.1621E−02	4.6690E−02	6.3786E−02	3.9055E−02	6.7184E−02	3.2990E−02
9	4.6554E−02	9.8462E−02	4.9235E−02	5.1360E−02	5.0981E−02	4.2952E−02	5.3638E−02	3.6328E−02
10	3.7970E−02	1.0665E−01	4.0156E−02	5.5626E−02	4.1569E−02	4.6535E−02	4.3702E−02	3.9395E−02
11	3.1489E−02	1.1414E−01	3.3300E−02	5.9528E−02	3.4468E−02	4.9806E−02	3.6249E−02	4.2156E−02
12	2.6551E−02	1.2100E−01	2.8077E−02	6.3104E−02	2.9065E−02	5.2796E−02	3.0577E−02	4.4678E−02
13	2.2685E−02	1.2732E−01	2.3987E−02	6.6395E−02	2.4832E−02	5.5549E−02	2.6126E−02	4.7004E−02
14	1.9591E−02	1.3316E−01	2.0715E−02	6.9437E−02	2.1445E−02	5.8097E−02	2.2568E−02	4.9149E−02
15	1.7086E−02	1.3858E−01	1.8065E−02	7.2263E−02	1.8702E−02	6.0463E−02	1.9680E−02	5.1163E−02
16	1.5030E−02	1.4364E−01	1.5891E−02	7.4898E−02	1.6451E−02	6.2669E−02	1.7307E−02	5.3039E−02
17	1.3322E−02	1.4838E−01	1.4085E−02	7.7366E−02	1.4581E−02	6.4736E−02	1.5344E−02	5.4773E−02
18	1.1889E−02	1.5283E−01	1.2569E−02	7.9685E−02	1.3012E−02	6.6678E−02	1.3692E−02	5.6427E−02
19	1.0674E−02	1.5703E−01	1.1285E−02	8.1873E−02	1.1682E−02	6.8509E−02	1.2290E−02	5.7987E−02
20	9.6365E−03	1.6100E−01	1.0188E−02	8.3943E−02	1.0546E−02	7.0243E−02	1.1097E−02	5.9439E−02
21	8.7427E−03	1.6477E−01	9.2423E−03	8.5908E−02	9.5673E−03	7.1887E−02	1.0067E−02	6.0840E−02
22	7.9675E−03	1.6836E−01	8.4226E−03	8.7776E−02	8.7186E−03	7.3452E−02	9.1718E−03	6.2174E−02
23	7.2908E−03	1.7178E−01	7.7070E−03	8.9558E−02	7.9778E−03	7.4943E−02	8.3943E−03	6.3421E−02
24	6.6968E−03	1.7505E−01	7.0789E−03	9.1261E−02	7.3275E−03	7.6369E−02	7.7096E−03	6.4635E−02
25	6.1724E−03	1.7818E−01	6.5244E−03	9.2892E−02	6.7534E−03	7.7734E−02	7.1041E−03	6.5801E−02
26	5.7072E−03	1.8118E−01	6.0325E−03	9.4456E−02	6.2442E−03	7.9043E−02	6.5697E−03	6.6894E−02
27	5.2927E−03	1.8407E−01	5.5942E−03	9.5959E−02	5.7904E−03	8.0301E−02	6.0920E−03	6.7965E−02
28	4.9217E−03	1.8685E−01	5.2019E−03	9.7406E−02	5.3842E−03	8.1512E−02	5.6635E−03	6.9001E−02
29	4.5884E−03	1.8952E−01	4.8494E−03	9.8800E−02	5.0193E−03	8.2679E−02	5.2805E−03	6.9974E−02
30	4.2878E−03	1.9211E−01	4.5316E−03	1.0014E−01	4.6903E−03	8.3805E−02	4.9342E−03	7.0931E−02
31	4.0157E−03	1.9460E−01	4.2440E−03	1.0145E−01	4.3925E−03	8.4893E−02	4.6200E−03	7.1865E−02
32	3.7688E−03	1.9702E−01	3.9829E−03	1.0270E−01	4.1222E−03	8.5946E−02	4.3363E−03	7.2741E−02
33	3.5440E−03	1.9936E−01	3.7451E−03	1.0392E−01	3.8760E−03	8.6966E−02	4.0773E−03	7.3607E−02
34	3.3387E−03	2.0162E−01	3.5280E−03	1.0510E−01	3.6513E−03	8.7954E−02	3.8401E−03	7.4456E−02
35	3.1507E−03	2.0382E−01	3.3293E−03	1.0625E−01	3.4455E−03	8.8913E−02	3.6241E−03	7.5254E−02
36	2.9781E−03	2.0596E−01	3.1468E−03	1.0736E−01	3.2566E−03	8.9845E−02	3.4254E−03	7.6044E−02
37	2.8194E−03	2.0804E−01	2.9790E−03	1.0844E−01	3.0828E−03	9.0751E−02	3.2419E−03	7.6823E−02
38	2.6730E−03	2.1006E−01	2.8242E−03	1.0949E−01	2.9226E−03	9.1631E−02	3.0738E−03	7.7555E−02
39	2.5377E−03	2.1202E−01	2.6812E−03	1.1052E−01	2.7745E−03	9.2489E−02	2.9180E−03	7.8282E−02
40	2.4124E−03	2.1394E−01	2.5487E−03	1.1152E−01	2.6374E−03	9.3324E−02	2.7732E−03	7.9002E−02
41	2.2962E−03	2.1581E−01	2.4258E−03	1.1249E−01	2.5101E−03	9.4138E−02	2.6397E−03	7.9679E−02
42	2.1882E−03	2.1763E−01	2.3116E−03	1.1344E−01	2.3919E−03	9.4934E−02	2.5153E−03	8.0351E−02
43	2.0876E−03	2.1941E−01	2.2053E−03	1.1437E−01	2.2818E−03	9.5709E−02	2.3991E−03	8.1021E−02
44	1.9939E−03	2.2115E−01	2.1061E−03	1.1527E−01	2.1791E−03	9.6466E−02	2.2913E−03	8.1649E−02
45	1.9062E−03	2.2284E−01	2.0134E−03	1.1616E−01	2.0832E−03	9.7207E−02	2.1905E−03	8.2275E−02
46	1.8243E−03	2.2451E−01	1.9268E−03	1.1702E−01	1.9935E−03	9.7931E−02	2.0957E−03	8.2901E−02
47	1.7475E−03	2.2613E−01	1.8456E−03	1.1787E−01	1.9095E−03	9.8638E−02	2.0075E−03	8.3489E−02
48	1.6755E−03	2.2771E−01	1.7694E−03	1.1870E−01	1.8306E−03	9.9331E−02	1.9246E−03	8.4073E−02
49	1.6078E−03	2.2927E−01	1.6979E−03	1.1951E−01	1.7565E−03	1.0001E−01	1.8463E−03	8.4662E−02
50	1.5441E−03	2.3080E−01	1.6306E−03	1.2030E−01	1.6868E−03	1.0068E−01	1.7732E−03	8.5214E−02
51	1.4842E−03	2.3229E−01	1.5672E−03	1.2108E−01	1.6212E−03	1.0133E−01	1.7042E−03	8.5761E−02
52	1.4277E−03	2.3376E−01	1.5074E−03	1.2184E−01	1.5593E−03	1.0197E−01	1.6388E−03	8.6315E−02
53	1.3743E−03	2.3519E−01	1.4510E−03	1.2259E−01	1.5009E−03	1.0259E−01	1.5775E−03	8.6837E−02
54	1.3239E−03	2.3660E−01	1.3977E−03	1.2333E−01	1.4457E−03	1.0321E−01	1.5195E−03	8.7353E−02
55	1.2762E−03	2.3798E−01	1.3473E−03	1.2405E−01	1.3935E−03	1.0381E−01	1.4644E−03	8.7876E−02
56	1.2311E−03	2.3934E−01	1.2995E−03	1.2476E−01	1.3441E−03	1.0440E−01	1.4125E−03	8.8368E−02
57	1.1882E−03	2.4068E−01	1.2543E−03	1.2545E−01	1.2972E−03	1.0499E−01	1.3633E−03	8.8858E−02
58	1.1476E−03	2.4199E−01	1.2113E−03	1.2614E−01	1.2528E−03	1.0556E−01	1.3162E−03	8.9357E−02
59	1.1091E−03	2.4327E−01	1.1706E−03	1.2681E−01	1.2105E−03	1.0612E−01	1.2719E−03	8.9826E−02
60	1.0724E−03	2.4454E−01	1.1319E−03	1.2746E−01	1.1705E−03	1.0667E−01	1.2301E−03	9.0263E−02

He; [Z=2] .

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	4.2610E−01	4.1776E−02	4.4985E−01	2.1809E−02	4.6272E−01	1.8383E−02	4.7861E−01	1.5783E−02
1	4.0739E−01	4.3327E−02	4.3041E−01	2.2602E−02	4.4354E−01	1.9017E−02	4.6026E−01	1.6277E−02
2	3.5950E−01	4.7901E−02	3.8022E−01	2.4959E−02	3.9327E−01	2.0925E−02	4.1119E−01	1.7781E−02
3	2.9975E−01	5.5216E−02	3.1704E−01	2.8767E−02	3.2862E−01	2.4069E−02	3.4590E−01	2.0325E−02
4	2.4232E−01	6.4811E−02	2.5619E−01	3.3776E−02	2.6545E−01	2.8275E−02	2.7985E−01	2.3848E−02
5	1.9367E−01	7.6153E−02	2.0478E−01	3.9673E−02	2.1206E−01	3.3235E−02	2.2303E−01	2.8110E−02
6	1.5495E−01	8.8676E−02	1.6384E−01	4.6186E−02	1.6975E−01	3.8674E−02	1.7832E−01	3.2760E−02
7	1.2497E−01	1.0185E−01	1.3209E−01	5.3056E−02	1.3689E−01	4.4420E−02	1.4407E−01	3.7568E−02
8	1.0190E−01	1.1529E−01	1.0770E−01	6.0041E−02	1.1154E−01	5.0301E−02	1.1756E−01	4.2489E−02
9	8.4110E−02	1.2864E−01	8.8879E−02	6.6990E−02	9.2057E−02	5.6121E−02	9.6885E−02	4.7481E−02
10	7.0272E−02	1.4169E−01	7.4222E−02	7.3795E−02	7.6918E−02	6.1790E−02	8.0827E−02	5.2361E−02
11	5.9355E−02	1.5431E−01	6.2676E−02	8.0359E−02	6.4950E−02	6.7298E−02	6.8289E−02	5.6980E−02
12	5.0706E−02	1.6642E−01	5.3536E−02	8.6655E−02	5.5459E−02	7.2590E−02	5.8394E−02	6.1393E−02
13	4.3748E−02	1.7797E−01	4.6181E−02	9.2663E−02	4.7842E−02	7.7613E−02	5.0369E−02	6.5675E−02
14	3.8074E−02	1.8895E−01	4.0185E−02	9.8371E−02	4.1636E−02	8.2387E−02	4.3787E−02	6.9788E−02
15	3.3405E−02	1.9937E−01	3.5252E−02	1.0379E−01	3.6518E−02	8.6940E−02	3.8403E−02	7.3638E−02
16	2.9524E−02	2.0926E−01	3.1151E−02	1.0893E−01	3.2266E−02	9.1254E−02	3.3963E−02	7.7224E−02
17	2.6267E−02	2.1865E−01	2.7711E−02	1.1380E−01	2.8707E−02	9.5322E−02	3.0223E−02	8.0661E−02
18	2.3511E−02	2.2755E−01	2.4801E−02	1.1843E−01	2.5693E−02	9.9196E−02	2.7031E−02	8.4002E−02
19	2.1160E−02	2.3601E−01	2.2319E−02	1.2283E−01	2.3117E−02	1.0290E−01	2.4310E−02	8.7168E−02
20	1.9139E−02	2.4407E−01	2.0186E−02	1.2701E−01	2.0907E−02	1.0640E−01	2.1995E−02	9.0098E−02
21	1.7392E−02	2.5174E−01	1.8342E−02	1.3100E−01	1.8999E−02	1.0972E−01	1.9998E−02	9.2866E−02
22	1.5871E−02	2.5906E−01	1.6736E−02	1.3480E−01	1.7336E−02	1.1291E−01	1.8244E−02	9.5585E−02
23	1.4539E−02	2.6606E−01	1.5330E−02	1.3843E−01	1.5876E−02	1.1598E−01	1.6700E−02	9.8232E−02
24	1.3366E−02	2.7275E−01	1.4093E−02	1.4191E−01	1.4596E−02	1.1888E−01	1.5350E−02	1.0071E−01
25	1.2329E−02	2.7917E−01	1.2999E−02	1.4524E−01	1.3464E−02	1.2166E−01	1.4166E−02	1.0300E−01
26	1.1407E−02	2.8533E−01	1.2026E−02	1.4844E−01	1.2456E−02	1.2435E−01	1.3110E−02	1.0524E−01
27	1.0585E−02	2.9124E−01	1.1158E−02	1.5152E−01	1.1555E−02	1.2694E−01	1.2158E−02	1.0748E−01
28	9.8473E−03	2.9695E−01	1.0381E−02	1.5447E−01	1.0750E−02	1.2940E−01	1.1305E−02	1.0963E−01
29	9.1842E−03	3.0243E−01	9.6810E−03	1.5733E−01	1.0027E−02	1.3178E−01	1.0546E−02	1.1162E−01
30	8.5856E−03	3.0772E−01	9.0497E−03	1.6007E−01	9.3719E−03	1.3410E−01	9.8633E−03	1.1350E−01
31	8.0433E−03	3.1285E−01	8.4779E−03	1.6273E−01	8.7787E−03	1.3633E−01	9.2390E−03	1.1540E−01
32	7.5508E−03	3.1779E−01	7.9583E−03	1.6530E−01	8.2418E−03	1.3846E−01	8.6674E−03	1.1729E−01
33	7.1020E−03	3.2257E−01	7.4850E−03	1.6779E−01	7.7520E−03	1.4054E−01	8.1506E−03	1.1907E−01
34	6.6919E−03	3.2722E−01	7.0526E−03	1.7019E−01	7.3030E−03	1.4258E−01	7.6836E−03	1.2071E−01
35	6.3164E−03	3.3171E−01	6.6564E−03	1.7253E−01	6.8925E−03	1.4454E−01	7.2541E−03	1.2233E−01
36	5.9714E−03	3.3608E−01	6.2927E−03	1.7480E−01	6.5168E−03	1.4641E−01	6.8548E−03	1.2399E−01
37	5.6538E−03	3.4032E−01	5.9580E−03	1.7700E−01	6.1700E−03	1.4826E−01	6.4869E−03	1.2561E−01
38	5.3611E−03	3.4444E−01	5.6492E−03	1.7914E−01	5.8492E−03	1.5008E−01	6.1519E−03	1.2710E−01
39	5.0903E−03	3.4846E−01	5.3637E−03	1.8123E−01	5.5538E−03	1.5182E−01	5.8440E−03	1.2851E−01
40	4.8395E−03	3.5236E−01	5.0994E−03	1.8325E−01	5.2807E−03	1.5349E−01	5.5555E−03	1.2996E−01
41	4.6069E−03	3.5616E−01	4.8540E−03	1.8523E−01	5.0263E−03	1.5516E−01	5.2853E−03	1.3143E−01
42	4.3905E−03	3.5988E−01	4.6259E−03	1.8716E−01	4.7894E−03	1.5679E−01	5.0360E−03	1.3281E−01
43	4.1891E−03	3.6349E−01	4.4136E−03	1.8904E−01	4.5698E−03	1.5835E−01	4.8068E−03	1.3408E−01
44	4.0012E−03	3.6703E−01	4.2154E−03	1.9087E−01	4.3651E−03	1.5987E−01	4.5923E−03	1.3535E−01
45	3.8256E−03	3.7049E−01	4.0303E−03	1.9267E−01	4.1730E−03	1.6139E−01	4.3890E−03	1.3667E−01
46	3.6614E−03	3.7386E−01	3.8572E−03	1.9442E−01	3.9932E−03	1.6288E−01	4.1985E−03	1.3797E−01
47	3.5074E−03	3.7716E−01	3.6949E−03	1.9613E−01	3.8257E−03	1.6429E−01	4.0225E−03	1.3916E−01
48	3.3630E−03	3.8038E−01	3.5426E−03	1.9781E−01	3.6682E−03	1.6568E−01	3.8584E−03	1.4028E−01
49	3.2273E−03	3.8355E−01	3.3996E−03	1.9945E−01	3.5195E−03	1.6708E−01	3.7024E−03	1.4144E−01
50	3.0997E−03	3.8664E−01	3.2651E−03	2.0106E−01	3.3800E−03	1.6843E−01	3.5541E−03	1.4265E−01
51	2.9795E−03	3.8966E−01	3.1383E−03	2.0263E−01	3.2493E−03	1.6972E−01	3.4155E−03	1.4379E−01
52	2.8661E−03	3.9264E−01	3.0188E−03	2.0417E−01	3.1256E−03	1.7102E−01	3.2866E−03	1.4482E−01
53	2.7591E−03	3.9555E−01	2.9060E−03	2.0569E−01	3.0082E−03	1.7231E−01	3.1646E−03	1.4585E−01
54	2.6580E−03	3.9840E−01	2.7994E−03	2.0717E−01	2.8979E−03	1.7355E−01	3.0475E−03	1.4695E−01
55	2.5623E−03	4.0120E−01	2.6986E−03	2.0863E−01	2.7939E−03	1.7474E−01	2.9364E−03	1.4804E−01
56	2.4717E−03	4.0396E−01	2.6031E−03	2.1005E−01	2.6948E−03	1.7595E−01	2.8328E−03	1.4903E−01
57	2.3858E−03	4.0666E−01	2.5125E−03	2.1146E−01	2.6006E−03	1.7715E−01	2.7354E−03	1.4996E−01
58	2.3044E−03	4.0930E−01	2.4266E−03	2.1284E−01	2.5119E−03	1.7829E−01	2.6417E−03	1.5094E−01
59	2.2271E−03	4.1189E−01	2.3451E−03	2.1419E−01	2.4280E−03	1.7938E−01	2.5516E−03	1.5197E−01
60	2.1533E−03	4.1451E−01	2.2675E−03	2.1553E−01	2.3472E−03	1.8053E−01	2.4666E−03	1.5295E−01

Li; [Z=3] .

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	3.3440E+00	3.4566E−02	3.5370E+00	1.8036E−02	3.6606E+00	1.5125E−02	3.8345E+00	1.2836E−02
1	2.2942E+00	4.6591E−02	2.4277E+00	2.4302E−02	2.5141E+00	2.0369E−02	2.6390E+00	1.7258E−02
2	1.0905E+00	8.0922E−02	1.1545E+00	4.2187E−02	1.1963E+00	3.5347E−02	1.2584E+00	2.9910E−02
3	5.7692E−01	1.2235E−01	6.1069E−01	6.3773E−02	6.3285E−01	5.3436E−02	6.6585E−01	4.5230E−02
4	3.6834E−01	1.5631E−01	3.8977E−01	8.1464E−02	4.0391E−01	6.8263E−02	4.2502E−01	5.7792E−02
5	2.6569E−01	1.8224E−01	2.8107E−01	9.4973E−02	2.9126E−01	7.9585E−02	3.0650E−01	6.7386E−02
6	2.0504E−01	2.0358E−01	2.1686E−01	1.0609E−01	2.2472E−01	8.8897E−02	2.3649E−01	7.5278E−02
7	1.6450E−01	2.2257E−01	1.7394E−01	1.1596E−01	1.8024E−01	9.7177E−02	1.8968E−01	8.2294E−02
8	1.3523E−01	2.4027E−01	1.4296E−01	1.2518E−01	1.4814E−01	1.0490E−01	1.5589E−01	8.8837E−02
9	1.1308E−01	2.5720E−01	1.1952E−01	1.3398E−01	1.2384E−01	1.1227E−01	1.3033E−01	9.5088E−02
10	9.5794E−02	2.7357E−01	1.0122E−01	1.4250E−01	1.0488E−01	1.1941E−01	1.1037E−01	1.0113E−01
11	8.2007E−02	2.8939E−01	8.6630E−02	1.5072E−01	8.9757E−02	1.2630E−01	9.4457E−02	1.0697E−01
12	7.0897E−02	3.0474E−01	7.4873E−02	1.5870E−01	7.7575E−02	1.3299E−01	8.1634E−02	1.1264E−01
13	6.1809E−02	3.1959E−01	6.5258E−02	1.6641E−01	6.7611E−02	1.3945E−01	7.1147E−02	1.1812E−01
14	5.4277E−02	3.3393E−01	5.7291E−02	1.7386E−01	5.9355E−02	1.4569E−01	6.2458E−02	1.2341E−01
15	4.7985E−02	3.4776E−01	5.0636E−02	1.8105E−01	5.2458E−02	1.5172E−01	5.5200E−02	1.2851E−01
16	4.2685E−02	3.6110E−01	4.5031E−02	1.8798E−01	4.6650E−02	1.5752E−01	4.9087E−02	1.3343E−01
17	3.8184E−02	3.7395E−01	4.0273E−02	1.9465E−01	4.1720E−02	1.6311E−01	4.3898E−02	1.3816E−01
18	3.4337E−02	3.8631E−01	3.6206E−02	2.0107E−01	3.7506E−02	1.6849E−01	3.9463E−02	1.4272E−01
19	3.1025E−02	3.9820E−01	3.2707E−02	2.0724E−01	3.3880E−02	1.7366E−01	3.5647E−02	1.4710E−01
20	2.8158E−02	4.0964E−01	2.9678E−02	2.1317E−01	3.0741E−02	1.7863E−01	3.2344E−02	1.5131E−01
21	2.5660E−02	4.2064E−01	2.7040E−02	2.1888E−01	2.8008E−02	1.8341E−01	2.9468E−02	1.5536E−01
22	2.3473E−02	4.3123E−01	2.4730E−02	2.2437E−01	2.5615E−02	1.8801E−01	2.6950E−02	1.5926E−01
23	2.1549E−02	4.4142E−01	2.2699E−02	2.2966E−01	2.3510E−02	1.9244E−01	2.4735E−02	1.6301E−01
24	1.9847E−02	4.5123E−01	2.0903E−02	2.3475E−01	2.1650E−02	1.9670E−01	2.2777E−02	1.6663E−01
25	1.8336E−02	4.6069E−01	1.9308E−02	2.3965E−01	1.9998E−02	2.0081E−01	2.1038E−02	1.7011E−01
26	1.6988E−02	4.6981E−01	1.7886E−02	2.4438E−01	1.8525E−02	2.0477E−01	1.9489E−02	1.7346E−01
27	1.5782E−02	4.7861E−01	1.6614E−02	2.4894E−01	1.7207E−02	2.0859E−01	1.8101E−02	1.7670E−01
28	1.4698E−02	4.8711E−01	1.5471E−02	2.5335E−01	1.6022E−02	2.1228E−01	1.6855E−02	1.7982E−01
29	1.3720E−02	4.9532E−01	1.4440E−02	2.5761E−01	1.4955E−02	2.1585E−01	1.5732E−02	1.8285E−01
30	1.2836E−02	5.0327E−01	1.3508E−02	2.6172E−01	1.3989E−02	2.1930E−01	1.4716E−02	1.8577E−01
31	1.2034E−02	5.1096E−01	1.2663E−02	2.6571E−01	1.3114E−02	2.2264E−01	1.3795E−02	1.8859E−01
32	1.1304E−02	5.1840E−01	1.1894E−02	2.6957E−01	1.2317E−02	2.2587E−01	1.2957E−02	1.9133E−01
33	1.0638E−02	5.2562E−01	1.1192E−02	2.7331E−01	1.1590E−02	2.2900E−01	1.2192E−02	1.9398E−01
34	1.0029E−02	5.3262E−01	1.0550E−02	2.7694E−01	1.0925E−02	2.3204E−01	1.1492E−02	1.9656E−01
35	9.4702E−03	5.3942E−01	9.9617E−03	2.8046E−01	1.0316E−02	2.3499E−01	1.0851E−02	1.9906E−01
36	8.9566E−03	5.4603E−01	9.4206E−03	2.8388E−01	9.7552E−03	2.3786E−01	1.0261E−02	2.0149E−01
37	8.4834E−03	5.5245E−01	8.9223E−03	2.8721E−01	9.2390E−03	2.4065E−01	9.7179E−03	2.0385E−01
38	8.0465E−03	5.5870E−01	8.4623E−03	2.9044E−01	8.7626E−03	2.4335E−01	9.2166E−03	2.0614E−01
39	7.6424E−03	5.6478E−01	8.0368E−03	2.9359E−01	8.3219E−03	2.4599E−01	8.7529E−03	2.0838E−01
40	7.2678E−03	5.7070E−01	7.6424E−03	2.9666E−01	7.9134E−03	2.4856E−01	8.3232E−03	2.1055E−01
41	6.9200E−03	5.7647E−01	7.2763E−03	2.9965E−01	7.5342E−03	2.5107E−01	7.9241E−03	2.1267E−01
42	6.5965E−03	5.8210E−01	6.9357E−03	3.0257E−01	7.1814E−03	2.5351E−01	7.5530E−03	2.1474E−01
43	6.2950E−03	5.8760E−01	6.6184E−03	3.0542E−01	6.8528E−03	2.5589E−01	7.2072E−03	2.1676E−01
44	6.0137E−03	5.9296E−01	6.3223E−03	3.0819E−01	6.5461E−03	2.5822E−01	6.8846E−03	2.1873E−01
45	5.7508E−03	5.9820E−01	6.0456E−03	3.1091E−01	6.2595E−03	2.6049E−01	6.5831E−03	2.2066E−01
46	5.5047E−03	6.0332E−01	5.7866E−03	3.1356E−01	5.9913E−03	2.6271E−01	6.3009E−03	2.2254E−01
47	5.2740E−03	6.0833E−01	5.5439E−03	3.1615E−01	5.7399E−03	2.6488E−01	6.0364E−03	2.2438E−01
48	5.0574E−03	6.1323E−01	5.3160E−03	3.1869E−01	5.5039E−03	2.6701E−01	5.7882E−03	2.2618E−01
49	4.8540E−03	6.1802E−01	5.1019E−03	3.2117E−01	5.2822E−03	2.6909E−01	5.5549E−03	2.2794E−01
50	4.6625E−03	6.2272E−01	4.9005E−03	3.2361E−01	5.0735E−03	2.7113E−01	5.3354E−03	2.2966E−01
51	4.4821E−03	6.2731E−01	4.7107E−03	3.2599E−01	4.8770E−03	2.7312E−01	5.1286E−03	2.3135E−01
52	4.3120E−03	6.3182E−01	4.5317E−03	3.2832E−01	4.6917E−03	2.7507E−01	4.9336E−03	2.3301E−01
53	4.1513E−03	6.3623E−01	4.3627E−03	3.3061E−01	4.5166E−03	2.7699E−01	4.7494E−03	2.3463E−01
54	3.9995E−03	6.4057E−01	4.2030E−03	3.3285E−01	4.3512E−03	2.7887E−01	4.5754E−03	2.3622E−01
55	3.8558E−03	6.4482E−01	4.0518E−03	3.3505E−01	4.1947E−03	2.8071E−01	4.4107E−03	2.3779E−01
56	3.7197E−03	6.4899E−01	3.9087E−03	3.3721E−01	4.0464E−03	2.8252E−01	4.2548E−03	2.3932E−01
57	3.5907E−03	6.5308E−01	3.7730E−03	3.3933E−01	3.9059E−03	2.8430E−01	4.1069E−03	2.4082E−01
58	3.4683E−03	6.5711E−01	3.6442E−03	3.4142E−01	3.7725E−03	2.8605E−01	3.9666E−03	2.4230E−01
59	3.3520E−03	6.6105E−01	3.5219E−03	3.4347E−01	3.6459E−03	2.8776E−01	3.8334E−03	2.4375E−01
60	3.2415E−03	6.6492E−01	3.4058E−03	3.4547E−01	3.5255E−03	2.8945E−01	3.7068E−03	2.4517E−01

Be; [Z=4] .

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	3.1055E+00	5.8862E−02	3.2880E+00	3.0761E−02	3.4035E+00	2.5806E−02	3.5638E+00	2.1939E−02
1	2.5308E+00	6.9079E−02	2.6815E+00	3.6077E−02	2.7773E+00	3.0252E−02	2.9164E+00	2.5649E−02
2	1.5618E+00	9.9147E−02	1.6558E+00	5.1749E−02	1.7162E+00	4.3368E−02	1.8057E+00	3.6714E−02
3	9.0894E−01	1.4388E−01	9.6387E−01	7.5060E−02	9.9918E−01	6.2898E−02	1.0515E+00	5.3259E−02
4	5.6282E−01	1.9294E−01	5.9674E−01	1.0060E−01	6.1846E−01	8.4322E−02	6.5100E−01	7.1403E−02
5	3.8082E−01	2.3775E−01	4.0346E−01	1.2396E−01	4.1816E−01	1.0389E−01	4.4012E−01	8.7995E−02
6	2.7803E−01	2.7538E−01	2.9434E−01	1.4359E−01	3.0510E−01	1.2032E−01	3.2108E−01	1.0193E−01
7	2.1472E−01	3.0659E−01	2.2727E−01	1.5979E−01	2.3550E−01	1.3394E−01	2.4788E−01	1.1345E−01
8	1.7255E−01	3.3310E−01	1.8254E−01	1.7362E−01	1.8915E−01	1.4552E−01	1.9908E−01	1.2327E−01
9	1.4259E−01	3.5654E−01	1.5076E−01	1.8585E−01	1.5625E−01	1.5573E−01	1.6443E−01	1.3194E−01
10	1.2020E−01	3.7796E−01	1.2712E−01	1.9689E−01	1.3170E−01	1.6504E−01	1.3862E−01	1.3980E−01
11	1.0282E−01	3.9793E−01	1.0872E−01	2.0725E−01	1.1263E−01	1.7373E−01	1.1855E−01	1.4716E−01
12	8.9120E−02	4.1676E−01	9.4178E−02	2.1709E−01	9.7574E−02	1.8195E−01	1.0269E−01	1.5414E−01
13	7.8000E−02	4.3478E−01	8.2389E−02	2.2648E−01	8.5364E−02	1.8980E−01	8.9832E−02	1.6080E−01
14	6.8793E−02	4.5213E−01	7.2641E−02	2.3549E−01	7.5262E−02	1.9735E−01	7.9199E−02	1.6720E−01
15	6.1093E−02	4.6886E−01	6.4491E−02	2.4417E−01	6.6814E−02	2.0463E−01	7.0308E−02	1.7336E−01
16	5.4587E−02	4.8503E−01	5.7604E−02	2.5256E−01	5.9677E−02	2.1166E−01	6.2796E−02	1.7932E−01
17	4.9039E−02	5.0066E−01	5.1732E−02	2.6068E−01	5.3593E−02	2.1846E−01	5.6392E−02	1.8508E−01
18	4.4271E−02	5.1580E−01	4.6688E−02	2.6853E−01	4.8365E−02	2.2503E−01	5.0890E−02	1.9065E−01
19	4.0146E−02	5.3045E−01	4.2324E−02	2.7612E−01	4.3843E−02	2.3140E−01	4.6130E−02	1.9604E−01
20	3.6555E−02	5.4463E−01	3.8526E−02	2.8348E−01	3.9907E−02	2.3756E−01	4.1988E−02	2.0126E−01
21	3.3411E−02	5.5836E−01	3.5202E−02	2.9059E−01	3.6463E−02	2.4352E−01	3.8364E−02	2.0631E−01
22	3.0645E−02	5.7166E−01	3.2279E−02	2.9748E−01	3.3433E−02	2.4929E−01	3.5175E−02	2.1120E−01
23	2.8200E−02	5.8454E−01	2.9695E−02	3.0416E−01	3.0756E−02	2.5488E−01	3.2357E−02	2.1594E−01
24	2.6029E−02	5.9701E−01	2.7401E−02	3.1062E−01	2.8379E−02	2.6029E−01	2.9856E−02	2.2052E−01
25	2.4093E−02	6.0910E−01	2.5357E−02	3.1688E−01	2.6261E−02	2.6554E−01	2.7627E−02	2.2497E−01
26	2.2361E−02	6.2081E−01	2.3528E−02	3.2295E−01	2.4366E−02	2.7062E−01	2.5633E−02	2.2927E−01
27	2.0805E−02	6.3217E−01	2.1886E−02	3.2883E−01	2.2665E−02	2.7554E−01	2.3843E−02	2.3344E−01
28	1.9403E−02	6.4318E−01	2.0406E−02	3.3453E−01	2.1132E−02	2.8032E−01	2.2230E−02	2.3749E−01
29	1.8135E−02	6.5387E−01	1.9069E−02	3.4006E−01	1.9747E−02	2.8495E−01	2.0772E−02	2.4141E−01
30	1.6986E−02	6.6424E−01	1.7857E−02	3.4542E−01	1.8491E−02	2.8944E−01	1.9451E−02	2.4521E−01
31	1.5941E−02	6.7431E−01	1.6755E−02	3.5064E−01	1.7349E−02	2.9381E−01	1.8249E−02	2.4891E−01
32	1.4988E−02	6.8410E−01	1.5750E−02	3.5570E−01	1.6308E−02	2.9805E−01	1.7154E−02	2.5250E−01
33	1.4116E−02	6.9361E−01	1.4832E−02	3.6061E−01	1.5357E−02	3.0217E−01	1.6153E−02	2.5599E−01
34	1.3318E−02	7.0286E−01	1.3990E−02	3.6540E−01	1.4486E−02	3.0617E−01	1.5236E−02	2.5938E−01
35	1.2584E−02	7.1186E−01	1.3218E−02	3.7005E−01	1.3686E−02	3.1007E−01	1.4395E−02	2.6268E−01
36	1.1909E−02	7.2061E−01	1.2507E−02	3.7458E−01	1.2949E−02	3.1386E−01	1.3620E−02	2.6589E−01
37	1.1286E−02	7.2914E−01	1.1851E−02	3.7899E−01	1.2270E−02	3.1755E−01	1.2905E−02	2.6902E−01
38	1.0711E−02	7.3745E−01	1.1245E−02	3.8328E−01	1.1642E−02	3.2115E−01	1.2245E−02	2.7207E−01
39	1.0177E−02	7.4555E−01	1.0684E−02	3.8747E−01	1.1061E−02	3.2465E−01	1.1633E−02	2.7504E−01
40	9.6828E−03	7.5345E−01	1.0164E−02	3.9155E−01	1.0522E−02	3.2807E−01	1.1066E−02	2.7793E−01
41	9.2231E−03	7.6116E−01	9.6798E−03	3.9554E−01	1.0021E−02	3.3140E−01	1.0539E−02	2.8076E−01
42	8.7950E−03	7.6869E−01	9.2296E−03	3.9942E−01	9.5549E−03	3.3466E−01	1.0049E−02	2.8351E−01
43	8.3959E−03	7.7603E−01	8.8098E−03	4.0322E−01	9.1202E−03	3.3784E−01	9.5912E−03	2.8621E−01
44	8.0231E−03	7.8321E−01	8.4179E−03	4.0693E−01	8.7143E−03	3.4095E−01	9.1642E−03	2.8884E−01
45	7.6745E−03	7.9023E−01	8.0514E−03	4.1055E−01	8.3348E−03	3.4398E−01	8.7648E−03	2.9141E−01
46	7.3479E−03	7.9710E−01	7.7081E−03	4.1410E−01	7.9793E−03	3.4695E−01	8.3909E−03	2.9392E−01
47	7.0417E−03	8.0381E−01	7.3862E−03	4.1757E−01	7.6460E−03	3.4985E−01	8.0403E−03	2.9638E−01
48	6.7541E−03	8.1038E−01	7.0840E−03	4.2096E−01	7.3330E−03	3.5270E−01	7.7110E−03	2.9879E−01
49	6.4837E−03	8.1682E−01	6.7998E−03	4.2429E−01	7.0388E−03	3.5548E−01	7.4015E−03	3.0114E−01
50	6.2291E−03	8.2312E−01	6.5324E−03	4.2754E−01	6.7618E−03	3.5820E−01	7.1102E−03	3.0345E−01
51	5.9892E−03	8.2930E−01	6.2803E−03	4.3073E−01	6.5008E−03	3.6087E−01	6.8356E−03	3.0571E−01
52	5.7627E−03	8.3535E−01	6.0425E−03	4.3386E−01	6.2545E−03	3.6349E−01	6.5765E−03	3.0793E−01
53	5.5489E−03	8.4129E−01	5.8179E−03	4.3692E−01	6.0220E−03	3.6606E−01	6.3319E−03	3.1010E−01
54	5.3467E−03	8.4711E−01	5.6056E−03	4.3993E−01	5.8021E−03	3.6858E−01	6.1006E−03	3.1224E−01
55	5.1553E−03	8.5282E−01	5.4046E−03	4.4288E−01	5.5940E−03	3.7105E−01	5.8817E−03	3.1433E−01
56	4.9740E−03	8.5843E−01	5.2141E−03	4.4578E−01	5.3968E−03	3.7347E−01	5.6743E−03	3.1638E−01
57	4.8020E−03	8.6394E−01	5.0336E−03	4.4862E−01	5.2099E−03	3.7585E−01	5.4776E−03	3.1840E−01
58	4.6388E−03	8.6934E−01	4.8622E−03	4.5142E−01	5.0325E−03	3.7819E−01	5.2911E−03	3.2037E−01
59	4.4837E−03	8.7465E−01	4.6995E−03	4.5416E−01	4.8640E−03	3.8049E−01	5.1137E−03	3.2233E−01
60	4.3361E−03	8.7993E−01	4.5450E−03	4.5683E−01	4.7036E−03	3.8276E−01	4.9449E−03	3.2425E−01

B; [Z=5] .

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	2.8358E+00	8.0833E−02	3.0075E+00	4.2321E−02	3.1129E+00	3.5528E−02	3.2589E+00	3.0233E−02
1	2.4610E+00	9.0430E−02	2.6117E+00	4.7318E−02	2.7056E+00	3.9689E−02	2.8411E+00	3.3677E−02
2	1.7329E+00	1.1818E−01	1.8407E+00	6.1786E−02	1.9083E+00	5.1793E−02	2.0083E+00	4.3863E−02
3	1.1285E+00	1.6052E−01	1.1995E+00	8.3854E−02	1.2437E+00	7.0287E−02	1.3092E+00	5.9526E−02
4	7.4063E−01	2.1145E−01	7.8730E−01	1.1039E−01	8.1629E−01	9.2525E−02	8.5934E−01	7.8374E−02
5	5.0784E−01	2.6434E−01	5.3954E−01	1.3794E−01	5.5940E−01	1.1562E−01	5.8894E−01	9.7936E−02
6	3.6682E−01	3.1415E−01	3.8937E−01	1.6389E−01	4.0365E−01	1.3737E−01	4.2492E−01	1.1638E−01
7	2.7788E−01	3.5851E−01	2.9466E−01	1.8701E−01	3.0544E−01	1.5675E−01	3.2151E−01	1.3281E−01
8	2.1893E−01	3.9718E−01	2.3195E−01	2.0716E−01	2.4041E−01	1.7363E−01	2.5306E−01	1.4710E−01
9	1.7797E−01	4.3078E−01	1.8843E−01	2.2464E−01	1.9528E−01	1.8830E−01	2.0553E−01	1.5955E−01
10	1.4819E−01	4.6047E−01	1.5680E−01	2.4010E−01	1.6250E−01	2.0124E−01	1.7104E−01	1.7050E−01
11	1.2565E−01	4.8713E−01	1.3288E−01	2.5397E−01	1.3771E−01	2.1286E−01	1.4494E−01	1.8035E−01
12	1.0830E−01	5.1149E−01	1.1450E−01	2.6662E−01	1.1865E−01	2.2346E−01	1.2487E−01	1.8934E−01
13	9.4491E−02	5.3411E−01	9.9864E−02	2.7837E−01	1.0348E−01	2.3331E−01	1.0890E−01	1.9769E−01
14	8.3219E−02	5.5541E−01	8.7920E−02	2.8942E−01	9.1096E−02	2.4257E−01	9.5866E−02	2.0553E−01
15	7.3891E−02	5.7562E−01	7.8037E−02	2.9991E−01	8.0853E−02	2.5136E−01	8.5084E−02	2.1298E−01
16	6.6065E−02	5.9496E−01	6.9747E−02	3.0994E−01	7.2261E−02	2.5977E−01	7.6040E−02	2.2010E−01
17	5.9424E−02	6.1353E−01	6.2712E−02	3.1957E−01	6.4970E−02	2.6783E−01	6.8366E−02	2.2694E−01
18	5.3731E−02	6.3143E−01	5.6683E−02	3.2886E−01	5.8722E−02	2.7561E−01	6.1789E−02	2.3353E−01
19	4.8811E−02	6.4873E−01	5.1474E−02	3.3782E−01	5.3323E−02	2.8312E−01	5.6106E−02	2.3989E−01
20	4.4527E−02	6.6548E−01	4.6940E−02	3.4650E−01	4.8623E−02	2.9039E−01	5.1160E−02	2.4605E−01
21	4.0775E−02	6.8171E−01	4.2968E−02	3.5491E−01	4.4507E−02	2.9743E−01	4.6828E−02	2.5201E−01
22	3.7469E−02	6.9746E−01	3.9469E−02	3.6306E−01	4.0882E−02	3.0426E−01	4.3012E−02	2.5780E−01
23	3.4541E−02	7.1274E−01	3.6372E−02	3.7098E−01	3.7672E−02	3.1089E−01	3.9634E−02	2.6341E−01
24	3.1936E−02	7.2760E−01	3.3617E−02	3.7866E−01	3.4817E−02	3.1732E−01	3.6629E−02	2.6887E−01
25	2.9609E−02	7.4202E−01	3.1157E−02	3.8612E−01	3.2268E−02	3.2358E−01	3.3946E−02	2.7416E−01
26	2.7522E−02	7.5605E−01	2.8951E−02	3.9338E−01	2.9982E−02	3.2965E−01	3.1540E−02	2.7931E−01
27	2.5643E−02	7.6970E−01	2.6966E−02	4.0044E−01	2.7925E−02	3.3556E−01	2.9376E−02	2.8431E−01
28	2.3947E−02	7.8296E−01	2.5174E−02	4.0730E−01	2.6068E−02	3.4130E−01	2.7422E−02	2.8918E−01
29	2.2410E−02	7.9588E−01	2.3551E−02	4.1397E−01	2.4387E−02	3.4690E−01	2.5652E−02	2.9392E−01
30	2.1014E−02	8.0845E−01	2.2077E−02	4.2046E−01	2.2860E−02	3.5233E−01	2.4045E−02	2.9852E−01
31	1.9741E−02	8.2069E−01	2.0734E−02	4.2679E−01	2.1469E−02	3.5763E−01	2.2581E−02	3.0301E−01
32	1.8579E−02	8.3261E−01	1.9508E−02	4.3295E−01	2.0198E−02	3.6279E−01	2.1245E−02	3.0738E−01
33	1.7515E−02	8.4423E−01	1.8386E−02	4.3895E−01	1.9036E−02	3.6781E−01	2.0021E−02	3.1163E−01
34	1.6538E−02	8.5555E−01	1.7356E−02	4.4480E−01	1.7969E−02	3.7271E−01	1.8899E−02	3.1578E−01
35	1.5639E−02	8.6660E−01	1.6409E−02	4.5049E−01	1.6988E−02	3.7748E−01	1.7866E−02	3.1982E−01
36	1.4811E−02	8.7737E−01	1.5536E−02	4.5605E−01	1.6084E−02	3.8213E−01	1.6915E−02	3.2376E−01
37	1.4046E−02	8.8788E−01	1.4730E−02	4.6148E−01	1.5249E−02	3.8667E−01	1.6037E−02	3.2760E−01
38	1.3338E−02	8.9813E−01	1.3984E−02	4.6677E−01	1.4476E−02	3.9110E−01	1.5224E−02	3.3135E−01
39	1.2681E−02	9.0815E−01	1.3293E−02	4.7193E−01	1.3760E−02	3.9543E−01	1.4471E−02	3.3502E−01
40	1.2071E−02	9.1794E−01	1.2651E−02	4.7698E−01	1.3096E−02	3.9965E−01	1.3771E−02	3.3860E−01
41	1.1503E−02	9.2750E−01	1.2054E−02	4.8191E−01	1.2477E−02	4.0378E−01	1.3121E−02	3.4209E−01
42	1.0975E−02	9.3684E−01	1.1498E−02	4.8673E−01	1.1901E−02	4.0781E−01	1.2515E−02	3.4550E−01
43	1.0481E−02	9.4598E−01	1.0979E−02	4.9144E−01	1.1364E−02	4.1175E−01	1.1949E−02	3.4885E−01
44	1.0020E−02	9.5492E−01	1.0494E−02	4.9605E−01	1.0861E−02	4.1561E−01	1.1421E−02	3.5211E−01
45	9.5878E−03	9.6366E−01	1.0040E−02	5.0055E−01	1.0391E−02	4.1938E−01	1.0927E−02	3.5530E−01
46	9.1830E−03	9.7223E−01	9.6145E−03	5.0496E−01	9.9510E−03	4.2308E−01	1.0463E−02	3.5843E−01
47	8.8031E−03	9.8062E−01	9.2153E−03	5.0929E−01	9.5377E−03	4.2670E−01	1.0029E−02	3.6150E−01
48	8.4461E−03	9.8882E−01	8.8405E−03	5.1351E−01	9.1495E−03	4.3024E−01	9.6201E−03	3.6449E−01
49	8.1102E−03	9.9687E−01	8.4878E−03	5.1766E−01	8.7844E−03	4.3370E−01	9.2360E−03	3.6743E−01
50	7.7938E−03	1.0048E+00	8.1556E−03	5.2173E−01	8.4404E−03	4.3711E−01	8.8742E−03	3.7031E−01
51	7.4955E−03	1.0125E+00	7.8425E−03	5.2571E−01	8.1161E−03	4.4044E−01	8.5332E−03	3.7313E−01
52	7.2138E−03	1.0201E+00	7.5469E−03	5.2961E−01	7.8102E−03	4.4371E−01	8.2113E−03	3.7590E−01
53	6.9476E−03	1.0275E+00	7.2676E−03	5.3345E−01	7.5209E−03	4.4692E−01	7.9071E−03	3.7862E−01
54	6.6958E−03	1.0348E+00	7.0034E−03	5.3721E−01	7.2474E−03	4.5007E−01	7.6194E−03	3.8128E−01
55	6.4574E−03	1.0420E+00	6.7533E−03	5.4090E−01	6.9885E−03	4.5316E−01	7.3471E−03	3.8390E−01
56	6.2314E−03	1.0490E+00	6.5164E−03	5.4452E−01	6.7432E−03	4.5619E−01	7.0891E−03	3.8647E−01
57	6.0169E−03	1.0560E+00	6.2915E−03	5.4808E−01	6.5104E−03	4.5917E−01	6.8442E−03	3.8899E−01
58	5.8134E−03	1.0627E+00	6.0781E−03	5.5159E−01	6.2894E−03	4.6210E−01	6.6118E−03	3.9147E−01
59	5.6199E−03	1.0694E+00	5.8752E−03	5.5503E−01	6.0795E−03	4.6498E−01	6.3910E−03	3.9391E−01
60	5.4357E−03	1.0760E+00	5.6826E−03	5.5838E−01	5.8801E−03	4.6779E−01	6.1810E−03	3.9631E−01

C; [Z=6]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	2.5385E+00	1.0201E−01	2.6187E+00	5.4129E−02	2.7926E+00	4.4969E−02	2.9237E+00	3.8293E−02
1	2.2870E+00	1.1089E−01	2.3744E+00	5.8509E−02	2.5202E+00	4.8805E−02	2.6459E+00	4.1447E−02
2	1.7503E+00	1.3649E−01	1.8390E+00	7.1297E−02	1.9324E+00	5.9971E−02	2.0345E+00	5.0798E−02
3	1.2403E+00	1.7586E−01	1.3145E+00	9.1277E−02	1.3709E+00	7.7184E−02	1.4432E+00	6.5396E−02
4	8.6647E−01	2.2496E−01	9.2238E−01	1.1646E−01	9.5829E−01	9.8626E−02	1.0093E+00	8.3540E−02
5	6.1651E−01	2.7910E−01	6.5717E−01	1.4446E−01	6.8179E−01	1.2225E−01	7.1786E−01	1.0359E−01
6	4.5256E−01	3.3405E−01	4.8230E−01	1.7300E−01	5.0003E−01	1.4625E−01	5.2662E−01	1.2390E−01
7	3.4376E−01	3.8662E−01	3.6595E−01	2.0039E−01	3.7936E−01	1.6919E−01	3.9938E−01	1.4338E−01
8	2.6960E−01	4.3505E−01	2.8663E−01	2.2565E−01	2.9704E−01	1.9037E−01	3.1277E−01	1.6129E−01
9	2.1743E−01	4.7877E−01	2.3089E−01	2.4845E−01	2.3927E−01	2.0944E−01	2.5186E−01	1.7749E−01
10	1.7954E−01	5.1788E−01	1.9042E−01	2.6886E−01	1.9728E−01	2.2656E−01	2.0769E−01	1.9197E−01
11	1.5103E−01	5.5297E−01	1.6004E−01	2.8716E−01	1.6578E−01	2.4188E−01	1.7452E−01	2.0494E−01
12	1.2931E−01	5.8472E−01	1.3692E−01	3.0367E−01	1.4183E−01	2.5569E−01	1.4929E−01	2.1667E−01
13	1.1222E−01	6.1369E−01	1.1876E−01	3.1873E−01	1.2302E−01	2.6830E−01	1.2947E−01	2.2736E−01
14	9.8441E−02	6.4040E−01	1.0412E−01	3.3262E−01	1.0784E−01	2.7992E−01	1.1350E−01	2.3721E−01
15	8.7158E−02	6.6532E−01	9.2143E−02	3.4556E−01	9.5434E−02	2.9076E−01	1.0043E−01	2.4639E−01
16	7.7780E−02	6.8876E−01	8.2192E−02	3.5772E−01	8.5123E−02	3.0094E−01	8.9579E−02	2.5502E−01
17	6.9881E−02	7.1099E−01	7.3814E−02	3.6925E−01	7.6443E−02	3.1060E−01	8.0441E−02	2.6320E−01
18	6.3155E−02	7.3218E−01	6.6680E−02	3.8025E−01	6.9052E−02	3.1980E−01	7.2661E−02	2.7099E−01
19	5.7368E−02	7.5251E−01	6.0545E−02	3.9078E−01	6.2697E−02	3.2862E−01	6.5971E−02	2.7847E−01
20	5.2350E−02	7.7206E−01	5.5226E−02	4.0091E−01	5.7186E−02	3.3710E−01	6.0171E−02	2.8565E−01
21	4.7965E−02	7.9094E−01	5.0578E−02	4.1069E−01	5.2371E−02	3.4528E−01	5.5103E−02	2.9258E−01
22	4.4109E−02	8.0920E−01	4.6492E−02	4.2014E−01	4.8138E−02	3.5319E−01	5.0647E−02	2.9929E−01
23	4.0697E−02	8.2690E−01	4.2878E−02	4.2930E−01	4.4395E−02	3.6086E−01	4.6707E−02	3.0578E−01
24	3.7664E−02	8.4408E−01	3.9665E−02	4.3819E−01	4.1066E−02	3.6830E−01	4.3204E−02	3.1208E−01
25	3.4954E−02	8.6077E−01	3.6795E−02	4.4683E−01	3.8094E−02	3.7553E−01	4.0076E−02	3.1820E−01
26	3.2523E−02	8.7701E−01	3.4222E−02	4.5522E−01	3.5429E−02	3.8255E−01	3.7270E−02	3.2415E−01
27	3.0334E−02	8.9280E−01	3.1905E−02	4.6339E−01	3.3029E−02	3.8939E−01	3.4744E−02	3.2994E−01
28	2.8355E−02	9.0820E−01	2.9812E−02	4.7134E−01	3.0861E−02	3.9604E−01	3.2462E−02	3.3558E−01
29	2.6561E−02	9.2319E−01	2.7915E−02	4.7909E−01	2.8895E−02	4.0253E−01	3.0394E−02	3.4107E−01
30	2.4929E−02	9.3782E−01	2.6190E−02	4.8664E−01	2.7109E−02	4.0884E−01	2.8514E−02	3.4642E−01
31	2.3441E−02	9.5207E−01	2.4617E−02	4.9400E−01	2.5480E−02	4.1501E−01	2.6800E−02	3.5164E−01
32	2.2080E−02	9.6599E−01	2.3179E−02	5.0118E−01	2.3991E−02	4.2101E−01	2.5233E−02	3.5673E−01
33	2.0832E−02	9.7957E−01	2.1861E−02	5.0819E−01	2.2626E−02	4.2688E−01	2.3797E−02	3.6170E−01
34	1.9686E−02	9.9283E−01	2.0651E−02	5.1503E−01	2.1373E−02	4.3260E−01	2.2478E−02	3.6654E−01
35	1.8630E−02	1.0058E+00	1.9537E−02	5.2171E−01	2.0219E−02	4.3819E−01	2.1263E−02	3.7128E−01
36	1.7656E−02	1.0184E+00	1.8509E−02	5.2823E−01	1.9154E−02	4.4365E−01	2.0143E−02	3.7590E−01
37	1.6754E−02	1.0308E+00	1.7558E−02	5.3461E−01	1.8170E−02	4.4898E−01	1.9108E−02	3.8042E−01
38	1.5920E−02	1.0429E+00	1.6678E−02	5.4083E−01	1.7259E−02	4.5420E−01	1.8149E−02	3.8483E−01
39	1.5145E−02	1.0547E+00	1.5862E−02	5.4693E−01	1.6413E−02	4.5929E−01	1.7260E−02	3.8914E−01
40	1.4424E−02	1.0663E+00	1.5103E−02	5.5288E−01	1.5628E−02	4.6428E−01	1.6433E−02	3.9337E−01
41	1.3754E−02	1.0776E+00	1.4397E−02	5.5871E−01	1.4896E−02	4.6915E−01	1.5663E−02	3.9750E−01
42	1.3128E−02	1.0887E+00	1.3738E−02	5.6441E−01	1.4214E−02	4.7393E−01	1.4946E−02	4.0153E−01
43	1.2543E−02	1.0995E+00	1.3123E−02	5.6999E−01	1.3578E−02	4.7860E−01	1.4276E−02	4.0549E−01
44	1.1997E−02	1.1102E+00	1.2548E−02	5.7546E−01	1.2982E−02	4.8317E−01	1.3649E−02	4.0936E−01
45	1.1484E−02	1.1206E+00	1.2009E−02	5.8081E−01	1.2424E−02	4.8765E−01	1.3063E−02	4.1315E−01
46	1.1004E−02	1.1308E+00	1.1504E−02	5.8606E−01	1.1901E−02	4.9204E−01	1.2513E−02	4.1687E−01
47	1.0553E−02	1.1408E+00	1.1030E−02	5.9120E−01	1.1411E−02	4.9634E−01	1.1996E−02	4.2051E−01
48	1.0128E−02	1.1506E+00	1.0584E−02	5.9624E−01	1.0949E−02	5.0055E−01	1.1511E−02	4.2408E−01
49	9.7287E−03	1.1602E+00	1.0164E−02	6.0118E−01	1.0515E−02	5.0469E−01	1.1054E−02	4.2758E−01
50	9.3522E−03	1.1696E+00	9.7690E−03	6.0602E−01	1.0106E−02	5.0875E−01	1.0624E−02	4.3102E−01
51	8.9969E−03	1.1789E+00	9.3961E−03	6.1078E−01	9.7196E−03	5.1272E−01	1.0218E−02	4.3438E−01
52	8.6613E−03	1.1880E+00	9.0439E−03	6.1545E−01	9.3550E−03	5.1662E−01	9.8344E−03	4.3768E−01
53	8.3439E−03	1.1969E+00	8.7110E−03	6.2003E−01	9.0104E−03	5.2046E−01	9.4719E−03	4.4093E−01
54	8.0435E−03	1.2056E+00	8.3959E−03	6.2453E−01	8.6843E−03	5.2422E−01	9.1289E−03	4.4412E−01
55	7.7589E−03	1.2142E+00	8.0975E−03	6.2894E−01	8.3757E−03	5.2791E−01	8.8042E−03	4.4724E−01
56	7.4891E−03	1.2227E+00	7.8147E−03	6.3328E−01	8.0829E−03	5.3154E−01	8.4964E−03	4.5031E−01
57	7.2329E−03	1.2310E+00	7.5463E−03	6.3755E−01	7.8051E−03	5.3511E−01	8.2042E−03	4.5334E−01
58	6.9897E−03	1.2392E+00	7.2914E−03	6.4174E−01	7.5413E−03	5.3862E−01	7.9268E−03	4.5631E−01
59	6.7584E−03	1.2472E+00	7.0491E−03	6.4586E−01	7.2908E−03	5.4205E−01	7.6632E−03	4.5922E−01
60	6.5381E−03	1.2551E+00	6.8186E−03	6.4992E−01	7.0517E−03	5.4549E−01	7.4122E−03	4.6210E−01

N; [Z=7]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	2.2348E+00	1.2336E−01	2.3809E+00	6.4945E−02	2.4654E+00	5.4566E−02	2.5816E+00	4.6486E−02
1	2.0680E+00	1.3129E−01	2.2051E+00	6.9067E−02	2.2852E+00	5.7987E−02	2.3986E+00	4.9287E−02
2	1.6835E+00	1.5435E−01	1.7974E+00	8.1099E−02	1.8645E+00	6.8024E−02	1.9632E+00	5.7642E−02
3	1.2750E+00	1.9031E−01	1.3628E+00	9.9882E−02	1.4138E+00	8.3773E−02	1.4889E+00	7.0988E−02
4	9.4122E−01	2.3626E−01	1.0071E+00	1.2383E−01	1.0450E+00	1.0384E−01	1.1006E+00	8.8003E−02
5	6.9683E−01	2.8880E−01	7.4580E−01	1.5122E−01	7.7392E−01	1.2679E−01	8.1539E−01	1.0742E−01
6	5.2467E−01	3.4462E−01	5.6149E−01	1.8025E−01	5.8258E−01	1.5114E−01	6.1355E−01	1.2810E−01
7	4.0419E−01	4.0074E−01	4.3205E−01	2.0952E−01	4.4829E−01	1.7565E−01	4.7225E−01	1.4883E−01
8	3.1894E−01	4.5502E−01	3.4051E−01	2.3775E−01	3.5321E−01	1.9933E−01	3.7199E−01	1.6893E−01
9	2.5750E−01	5.0604E−01	2.7443E−01	2.6438E−01	2.8464E−01	2.2164E−01	2.9972E−01	1.8784E−01
10	2.1220E−01	5.5319E−01	2.2579E−01	2.8896E−01	2.3414E−01	2.4224E−01	2.4658E−01	2.0526E−01
11	1.7790E−01	5.9639E−01	1.8903E−01	3.1144E−01	1.9598E−01	2.6110E−01	2.0636E−01	2.2125E−01
12	1.5171E−01	6.3586E−01	1.6098E−01	3.3201E−01	1.6687E−01	2.7834E−01	1.7568E−01	2.3587E−01
13	1.3114E−01	6.7197E−01	1.3899E−01	3.5081E−01	1.4406E−01	2.9409E−01	1.5164E−01	2.4924E−01
14	1.1461E−01	7.0515E−01	1.2136E−01	3.6806E−01	1.2577E−01	3.0855E−01	1.3238E−01	2.6149E−01
15	1.0116E−01	7.3584E−01	1.0702E−01	3.8401E−01	1.1091E−01	3.2191E−01	1.1673E−01	2.7281E−01
16	9.0036E−02	7.6443E−01	9.5191E−02	3.9884E−01	9.8637E−02	3.3434E−01	1.0381E−01	2.8335E−01
17	8.0725E−02	7.9124E−01	8.5294E−02	4.1274E−01	8.8376E−02	3.4598E−01	9.3003E−02	2.9321E−01
18	7.2838E−02	8.1654E−01	7.6917E−02	4.2586E−01	7.9692E−02	3.5697E−01	8.3861E−02	3.0252E−01
19	6.6089E−02	8.4056E−01	6.9753E−02	4.3830E−01	7.2265E−02	3.6739E−01	7.6042E−02	3.1135E−01
20	6.0261E−02	8.6348E−01	6.3570E−02	4.5016E−01	6.5856E−02	3.7732E−01	6.9295E−02	3.1976E−01
21	5.5188E−02	8.8544E−01	5.8191E−02	4.6152E−01	6.0279E−02	3.8684E−01	6.3425E−02	3.2782E−01
22	5.0741E−02	9.0656E−01	5.3476E−02	4.7244E−01	5.5392E−02	3.9598E−01	5.8280E−02	3.3557E−01
23	4.6817E−02	9.2693E−01	4.9317E−02	4.8297E−01	5.1082E−02	4.0480E−01	5.3743E−02	3.4304E−01
24	4.3335E−02	9.4663E−01	4.5628E−02	4.9315E−01	4.7258E−02	4.1333E−01	4.9718E−02	3.5026E−01
25	4.0230E−02	9.6572E−01	4.2339E−02	5.0301E−01	4.3849E−02	4.2158E−01	4.6130E−02	3.5725E−01
26	3.7447E−02	9.8425E−01	3.9392E−02	5.1257E−01	4.0795E−02	4.2959E−01	4.2916E−02	3.6404E−01
27	3.4944E−02	1.0022E+00	3.6741E−02	5.2187E−01	3.8048E−02	4.3737E−01	4.0024E−02	3.7063E−01
28	3.2682E−02	1.0198E+00	3.4348E−02	5.3091E−01	3.5567E−02	4.4494E−01	3.7413E−02	3.7704E−01
29	3.0632E−02	1.0368E+00	3.2179E−02	5.3972E−01	3.3319E−02	4.5231E−01	3.5048E−02	3.8328E−01
30	2.8768E−02	1.0535E+00	3.0206E−02	5.4830E−01	3.1276E−02	4.5950E−01	3.2896E−02	3.8937E−01
31	2.7067E−02	1.0697E+00	2.8408E−02	5.5666E−01	2.9412E−02	4.6650E−01	3.0936E−02	3.9529E−01
32	2.5512E−02	1.0856E+00	2.6764E−02	5.6483E−01	2.7709E−02	4.7333E−01	2.9142E−02	4.0108E−01
33	2.4085E−02	1.1011E+00	2.5256E−02	5.7280E−01	2.6147E−02	4.8001E−01	2.7498E−02	4.0674E−01
34	2.2774E−02	1.1162E+00	2.3871E−02	5.8059E−01	2.4711E−02	4.8653E−01	2.5988E−02	4.1225E−01
35	2.1565E−02	1.1310E+00	2.2595E−02	5.8820E−01	2.3389E−02	4.9290E−01	2.4597E−02	4.1765E−01
36	2.0450E−02	1.1454E+00	2.1417E−02	5.9564E−01	2.2169E−02	4.9912E−01	2.3312E−02	4.2292E−01
37	1.9417E−02	1.1596E+00	2.0327E−02	6.0292E−01	2.1040E−02	5.0521E−01	2.2125E−02	4.2808E−01
38	1.8460E−02	1.1734E+00	1.9318E−02	6.1003E−01	1.9994E−02	5.1117E−01	2.1024E−02	4.3313E−01
39	1.7571E−02	1.1870E+00	1.8380E−02	6.1700E−01	1.9023E−02	5.1701E−01	2.0003E−02	4.3806E−01
40	1.6744E−02	1.2003E+00	1.7509E−02	6.2382E−01	1.8120E−02	5.2271E−01	1.9052E−02	4.4289E−01
41	1.5973E−02	1.2132E+00	1.6697E−02	6.3050E−01	1.7279E−02	5.2830E−01	1.8167E−02	4.4763E−01
42	1.5254E−02	1.2260E+00	1.5939E−02	6.3705E−01	1.6494E−02	5.3378E−01	1.7342E−02	4.5226E−01
43	1.4581E−02	1.2385E+00	1.5231E−02	6.4346E−01	1.5761E−02	5.3914E−01	1.6570E−02	4.5681E−01
44	1.3952E−02	1.2507E+00	1.4569E−02	6.4974E−01	1.5075E−02	5.4440E−01	1.5849E−02	4.6125E−01
45	1.3362E−02	1.2627E+00	1.3948E−02	6.5590E−01	1.4432E−02	5.4956E−01	1.5173E−02	4.6562E−01
46	1.2808E−02	1.2745E+00	1.3366E−02	6.6195E−01	1.3829E−02	5.5461E−01	1.4538E−02	4.6990E−01
47	1.2288E−02	1.2860E+00	1.2819E−02	6.6786E−01	1.3263E−02	5.5957E−01	1.3942E−02	4.7409E−01
48	1.1798E−02	1.2974E+00	1.2304E−02	6.7368E−01	1.2730E−02	5.6443E−01	1.3382E−02	4.7821E−01
49	1.1336E−02	1.3085E+00	1.1819E−02	6.7939E−01	1.2228E−02	5.6921E−01	1.2854E−02	4.8226E−01
50	1.0901E−02	1.3194E+00	1.1363E−02	6.8499E−01	1.1755E−02	5.7389E−01	1.2357E−02	4.8622E−01
51	1.0491E−02	1.3302E+00	1.0932E−02	6.9048E−01	1.1309E−02	5.7849E−01	1.1887E−02	4.9011E−01
52	1.0102E−02	1.3407E+00	1.0524E−02	6.9588E−01	1.0887E−02	5.8301E−01	1.1444E−02	4.9394E−01
53	9.7352E−03	1.3511E+00	1.0139E−02	7.0119E−01	1.0488E−02	5.8745E−01	1.1024E−02	4.9769E−01
54	9.3874E−03	1.3612E+00	9.7746E−03	7.0640E−01	1.0111E−02	5.9180E−01	1.0627E−02	5.0138E−01
55	9.0578E−03	1.3712E+00	9.4292E−03	7.1152E−01	9.7534E−03	5.9608E−01	1.0251E−02	5.0500E−01
56	8.7450E−03	1.3811E+00	9.1015E−03	7.1655E−01	9.4142E−03	6.0030E−01	9.8944E−03	5.0857E−01
57	8.4481E−03	1.3908E+00	8.7904E−03	7.2151E−01	9.0922E−03	6.0444E−01	9.5557E−03	5.1208E−01
58	8.1659E−03	1.4003E+00	8.4949E−03	7.2638E−01	8.7864E−03	6.0851E−01	9.2342E−03	5.1552E−01
59	7.8974E−03	1.4096E+00	8.2141E−03	7.3115E−01	8.4957E−03	6.1251E−01	8.9284E−03	5.1891E−01
60	7.6418E−03	1.4189E+00	7.9471E−03	7.3582E−01	8.2189E−03	6.1645E−01	8.6373E−03	5.2226E−01

O; [Z=8]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.9959E+00	1.4403E−01	2.1119E+00	7.6444E−02	2.2088E+00	6.3972E−02	2.3140E+00	5.4509E−02
1	1.8787E+00	1.5125E−01	1.9924E+00	8.0108E−02	2.0827E+00	6.7068E−02	2.1859E+00	5.7045E−02
2	1.5943E+00	1.7229E−01	1.6986E+00	9.0879E−02	1.7721E+00	7.6214E−02	1.8657E+00	6.4628E−02
3	1.2675E+00	2.0544E−01	1.3557E+00	1.0800E−01	1.4107E+00	9.0760E−02	1.4866E+00	7.6903E−02
4	9.7811E−01	2.4839E−01	1.0491E+00	1.3025E−01	1.0904E+00	1.0954E−01	1.1484E+00	9.2878E−02
5	7.5031E−01	2.9858E−01	8.0606E−01	1.5631E−01	8.3734E−01	1.3145E−01	8.8238E−01	1.1141E−01
6	5.8005E−01	3.5335E−01	6.2353E−01	1.8477E−01	6.4731E−01	1.5539E−01	6.8227E−01	1.3167E−01
7	4.5495E−01	4.1030E−01	4.8897E−01	2.1435E−01	5.0759E−01	1.8018E−01	5.3468E−01	1.5276E−01
8	3.6316E−01	4.6723E−01	3.8989E−01	2.4398E−01	4.0460E−01	2.0505E−01	4.2634E−01	1.7377E−01
9	2.9510E−01	5.2266E−01	3.1636E−01	2.7283E−01	3.2814E−01	2.2928E−01	3.4578E−01	1.9428E−01
10	2.4394E−01	5.7543E−01	2.6102E−01	3.0035E−01	2.7077E−01	2.5227E−01	2.8511E−01	2.1389E−01
11	2.0472E−01	6.2496E−01	2.1862E−01	3.2620E−01	2.2675E−01	2.7392E−01	2.3871E−01	2.3224E−01
12	1.7445E−01	6.7117E−01	1.8593E−01	3.5031E−01	1.9278E−01	2.9414E−01	2.0299E−01	2.4933E−01
13	1.5055E−01	7.1403E−01	1.6018E−01	3.7266E−01	1.6604E−01	3.1287E−01	1.7482E−01	2.6520E−01
14	1.3133E−01	7.5371E−01	1.3951E−01	3.9335E−01	1.4459E−01	3.3021E−01	1.5222E−01	2.7986E−01
15	1.1567E−01	7.9052E−01	1.2272E−01	4.1252E−01	1.2716E−01	3.4626E−01	1.3387E−01	2.9347E−01
16	1.0276E−01	8.2479E−01	1.0888E−01	4.3033E−01	1.1282E−01	3.6117E−01	1.1874E−01	3.0614E−01
17	9.1961E−02	8.5681E−01	9.7346E−02	4.4697E−01	1.0085E−01	3.7512E−01	1.0614E−01	3.1792E−01
18	8.2843E−02	8.8688E−01	8.7616E−02	4.6256E−01	9.0759E−02	3.8817E−01	9.5520E−02	3.2899E−01
19	7.5063E−02	9.1524E−01	7.9326E−02	4.7726E−01	8.2168E−02	4.0047E−01	8.6462E−02	3.3945E−01
20	6.8366E−02	9.4213E−01	7.2198E−02	4.9119E−01	7.4773E−02	4.1216E−01	7.8684E−02	3.4931E−01
21	6.2554E−02	9.6773E−01	6.6017E−02	5.0443E−01	6.8368E−02	4.2323E−01	7.1941E−02	3.5869E−01
22	5.7473E−02	9.9219E−01	6.0618E−02	5.1708E−01	6.2775E−02	4.3381E−01	6.6045E−02	3.6769E−01
23	5.3002E−02	1.0157E+00	5.5870E−02	5.2921E−01	5.7849E−02	4.4400E−01	6.0866E−02	3.7627E−01
24	4.9044E−02	1.0382E+00	5.1668E−02	5.4087E−01	5.3498E−02	4.5373E−01	5.6286E−02	3.8452E−01
25	4.5521E−02	1.0600E+00	4.7931E−02	5.5211E−01	4.9627E−02	4.6314E−01	5.2206E−02	3.9252E−01
26	4.2370E−02	1.0811E+00	4.4589E−02	5.6298E−01	4.6161E−02	4.7227E−01	4.8561E−02	4.0022E−01
27	3.9539E−02	1.1015E+00	4.1588E−02	5.7351E−01	4.3054E−02	4.8104E−01	4.5292E−02	4.0765E−01
28	3.6986E−02	1.1213E+00	3.8881E−02	5.8372E−01	4.0250E−02	4.8959E−01	4.2337E−02	4.1492E−01
29	3.4673E−02	1.1405E+00	3.6431E−02	5.9365E−01	3.7709E−02	4.9793E−01	3.9665E−02	4.2196E−01
30	3.2572E−02	1.1593E+00	3.4205E−02	6.0331E−01	3.5406E−02	5.0597E−01	3.7241E−02	4.2877E−01
31	3.0656E−02	1.1775E+00	3.2177E−02	6.1271E−01	3.3305E−02	5.1385E−01	3.5028E−02	4.3546E−01
32	2.8905E−02	1.1954E+00	3.0323E−02	6.2189E−01	3.1382E−02	5.2156E−01	3.3006E−02	4.4197E−01
33	2.7299E−02	1.2127E+00	2.8624E−02	6.3084E−01	2.9625E−02	5.2900E−01	3.1156E−02	4.4827E−01
34	2.5823E−02	1.2298E+00	2.7063E−02	6.3958E−01	2.8007E−02	5.3633E−01	2.9453E−02	4.5448E−01
35	2.4463E−02	1.2464E+00	2.5625E−02	6.4812E−01	2.6516E−02	5.4350E−01	2.7884E−02	4.6055E−01
36	2.3207E−02	1.2626E+00	2.4297E−02	6.5647E−01	2.5143E−02	5.5044E−01	2.6439E−02	4.6643E−01
37	2.2045E−02	1.2785E+00	2.3070E−02	6.6464E−01	2.3871E−02	5.5730E−01	2.5101E−02	4.7222E−01
38	2.0967E−02	1.2941E+00	2.1931E−02	6.7263E−01	2.2691E−02	5.6400E−01	2.3859E−02	4.7792E−01
39	1.9966E−02	1.3093E+00	2.0875E−02	6.8046E−01	2.1598E−02	5.7050E−01	2.2709E−02	4.8342E−01
40	1.9035E−02	1.3242E+00	1.9891E−02	6.8813E−01	2.0579E−02	5.7695E−01	2.1638E−02	4.8885E−01
41	1.8166E−02	1.3389E+00	1.8975E−02	6.9564E−01	1.9630E−02	5.8324E−01	2.0638E−02	4.9421E−01
42	1.7355E−02	1.3532E+00	1.8120E−02	7.0300E−01	1.8746E−02	5.8935E−01	1.9707E−02	4.9939E−01
43	1.6597E−02	1.3673E+00	1.7321E−02	7.1021E−01	1.7917E−02	5.9544E−01	1.8837E−02	5.0448E−01
44	1.5887E−02	1.3811E+00	1.6573E−02	7.1729E−01	1.7142E−02	6.0135E−01	1.8021E−02	5.0954E−01
45	1.5221E−02	1.3947E+00	1.5871E−02	7.2424E−01	1.6417E−02	6.0711E−01	1.7257E−02	5.1443E−01
46	1.4596E−02	1.4080E+00	1.5213E−02	7.3105E−01	1.5735E−02	6.1287E−01	1.6541E−02	5.1923E−01
47	1.4008E−02	1.4210E+00	1.4595E−02	7.3774E−01	1.5095E−02	6.1844E−01	1.5866E−02	5.2401E−01
48	1.3454E−02	1.4339E+00	1.4013E−02	7.4430E−01	1.4493E−02	6.2389E−01	1.5233E−02	5.2864E−01
49	1.2933E−02	1.4465E+00	1.3464E−02	7.5075E−01	1.3924E−02	6.2935E−01	1.4636E−02	5.3317E−01
50	1.2441E−02	1.4588E+00	1.2947E−02	7.5708E−01	1.3389E−02	6.3460E−01	1.4073E−02	5.3769E−01
51	1.1976E−02	1.4710E+00	1.2459E−02	7.6330E−01	1.2884E−02	6.3978E−01	1.3541E−02	5.4209E−01
52	1.1536E−02	1.4830E+00	1.1997E−02	7.6942E−01	1.2406E−02	6.4496E−01	1.3039E−02	5.4638E−01
53	1.1120E−02	1.4947E+00	1.1561E−02	7.7543E−01	1.1954E−02	6.4993E−01	1.2563E−02	5.5067E−01
54	1.0726E−02	1.5063E+00	1.1147E−02	7.8133E−01	1.1527E−02	6.5486E−01	1.2113E−02	5.5486E−01
55	1.0352E−02	1.5177E+00	1.0755E−02	7.8714E−01	1.1120E−02	6.5978E−01	1.1688E−02	5.5892E−01
56	9.9977E−03	1.5288E+00	1.0384E−02	7.9286E−01	1.0736E−02	6.6450E−01	1.1282E−02	5.6299E−01
57	9.6607E−03	1.5398E+00	1.0031E−02	7.9847E−01	1.0371E−02	6.6921E−01	1.0898E−02	5.6700E−01
58	9.3404E−03	1.5507E+00	9.6952E−03	8.0400E−01	1.0023E−02	6.7387E−01	1.0534E−02	5.7085E−01
59	9.0356E−03	1.5613E+00	9.3762E−03	8.0944E−01	9.6947E−03	6.7829E−01	1.0187E−02	5.7468E−01
60	8.7453E−03	1.5719E+00	9.0724E−03	8.1480E−01	9.3803E−03	6.8278E−01	9.8539E−03	5.7861E−01

F; [Z=9]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.8023E+00	1.6411E−01	1.9323E+00	8.7053E−02	2.0022E+00	7.3216E−02	2.0984E+00	6.2406E−02
1	1.7164E+00	1.7076E−01	1.8420E+00	9.0491E−02	1.9098E+00	7.6062E−02	2.0047E+00	6.4733E−02
2	1.5003E+00	1.9016E−01	1.6125E+00	1.0064E−01	1.6740E+00	8.4489E−02	1.7623E+00	7.1697E−02
3	1.2370E+00	2.2094E−01	1.3316E+00	1.1676E−01	1.3827E+00	9.8003E−02	1.4577E+00	8.3057E−02
4	9.8895E−01	2.6122E−01	1.0663E+00	1.3781E−01	1.1072E+00	1.1567E−01	1.1668E+00	9.8079E−02
5	7.8208E−01	3.0892E−01	8.4435E−01	1.6269E−01	8.7712E−01	1.3649E−01	9.2429E−01	1.1575E−01
6	6.1949E−01	3.6194E−01	6.6931E−01	1.9031E−01	6.9525E−01	1.5966E−01	7.3312E−01	1.3531E−01
7	4.9500E−01	4.1823E−01	5.3482E−01	2.1960E−01	5.5551E−01	1.8422E−01	5.8563E−01	1.5616E−01
8	4.0042E−01	4.7594E−01	4.3234E−01	2.4963E−01	4.4912E−01	2.0935E−01	4.7327E−01	1.7752E−01
9	3.2842E−01	5.3352E−01	3.5412E−01	2.7960E−01	3.6776E−01	2.3449E−01	3.8768E−01	1.9874E−01
10	2.7314E−01	5.8974E−01	2.9397E−01	3.0888E−01	3.0520E−01	2.5907E−01	3.2172E−01	2.1954E−01
11	2.3010E−01	6.4374E−01	2.4713E−01	3.3703E−01	2.5652E−01	2.8266E−01	2.7032E−01	2.3956E−01
12	1.9645E−01	6.9511E−01	2.1051E−01	3.6382E−01	2.1846E−01	3.0510E−01	2.3017E−01	2.5859E−01
13	1.6965E−01	7.4354E−01	1.8139E−01	3.8908E−01	1.8820E−01	3.2627E−01	1.9825E−01	2.7654E−01
14	1.4799E−01	7.8898E−01	1.5790E−01	4.1278E−01	1.6379E−01	3.4611E−01	1.7249E−01	2.9341E−01
15	1.3029E−01	8.3153E−01	1.3873E−01	4.3496E−01	1.4388E−01	3.6472E−01	1.5149E−01	3.0917E−01
16	1.1564E−01	8.7138E−01	1.2292E−01	4.5571E−01	1.2744E−01	3.8213E−01	1.3419E−01	3.2388E−01
17	1.0340E−01	9.0873E−01	1.0973E−01	4.7514E−01	1.1376E−01	3.9838E−01	1.1975E−01	3.3769E−01
18	9.3051E−02	9.4383E−01	9.8614E−02	4.9337E−01	1.0222E−01	4.1366E−01	1.0758E−01	3.5067E−01
19	8.4230E−02	9.7690E−01	8.9156E−02	5.1054E−01	9.2392E−02	4.2808E−01	9.7247E−02	3.6283E−01
20	7.6644E−02	1.0082E+00	8.1038E−02	5.2675E−01	8.3973E−02	4.4162E−01	8.8378E−02	3.7432E−01
21	7.0069E−02	1.0378E+00	7.4014E−02	5.4210E−01	7.6690E−02	4.5447E−01	8.0697E−02	3.8525E−01
22	6.4330E−02	1.0661E+00	6.7893E−02	5.5671E−01	7.0335E−02	4.6675E−01	7.4009E−02	3.9561E−01
23	5.9289E−02	1.0930E+00	6.2522E−02	5.7064E−01	6.4766E−02	4.7840E−01	6.8149E−02	4.0546E−01
24	5.4833E−02	1.1189E+00	5.7780E−02	5.8398E−01	5.9853E−02	4.8953E−01	6.2970E−02	4.1494E−01
25	5.0874E−02	1.1437E+00	5.3571E−02	5.9679E−01	5.5484E−02	5.0030E−01	5.8371E−02	4.2404E−01
26	4.7338E−02	1.1676E+00	4.9814E−02	6.0911E−01	5.1589E−02	5.1062E−01	5.4275E−02	4.3275E−01
27	4.4166E−02	1.1907E+00	4.6447E−02	6.2101E−01	4.8103E−02	5.2053E−01	5.0601E−02	4.4118E−01
28	4.1308E−02	1.2130E+00	4.3414E−02	6.3251E−01	4.4957E−02	5.3020E−01	4.7289E−02	4.4936E−01
29	3.8723E−02	1.2347E+00	4.0673E−02	6.4366E−01	4.2113E−02	5.3955E−01	4.4298E−02	4.5726E−01
30	3.6377E−02	1.2557E+00	3.8186E−02	6.5447E−01	3.9539E−02	5.4854E−01	4.1587E−02	4.6489E−01
31	3.4240E−02	1.2761E+00	3.5922E−02	6.6499E−01	3.7192E−02	5.5737E−01	3.9116E−02	4.7236E−01
32	3.2288E−02	1.2960E+00	3.3854E−02	6.7522E−01	3.5046E−02	5.6597E−01	3.6859E−02	4.7964E−01
33	3.0499E−02	1.3154E+00	3.1961E−02	6.8519E−01	3.3087E−02	5.7426E−01	3.4795E−02	4.8667E−01
34	2.8856E−02	1.3344E+00	3.0222E−02	6.9491E−01	3.1285E−02	5.8240E−01	3.2899E−02	4.9355E−01
35	2.7343E−02	1.3529E+00	2.8621E−02	7.0441E−01	2.9623E−02	5.9040E−01	3.1151E−02	5.0031E−01
36	2.5946E−02	1.3709E+00	2.7144E−02	7.1368E−01	2.8094E−02	5.9811E−01	2.9541E−02	5.0687E−01
37	2.4653E−02	1.3886E+00	2.5777E−02	7.2275E−01	2.6679E−02	6.0567E−01	2.8052E−02	5.1327E−01
38	2.3455E−02	1.4059E+00	2.4511E−02	7.3162E−01	2.5365E−02	6.1317E−01	2.6671E−02	5.1957E−01
39	2.2342E−02	1.4229E+00	2.3336E−02	7.4030E−01	2.4148E−02	6.2040E−01	2.5388E−02	5.2573E−01
40	2.1307E−02	1.4395E+00	2.2242E−02	7.4880E−01	2.3017E−02	6.2746E−01	2.4197E−02	5.3173E−01
41	2.0341E−02	1.4557E+00	2.1223E−02	7.5714E−01	2.1959E−02	6.3451E−01	2.3087E−02	5.3763E−01
42	1.9439E−02	1.4717E+00	2.0272E−02	7.6530E−01	2.0973E−02	6.4133E−01	2.2048E−02	5.4344E−01
43	1.8596E−02	1.4873E+00	1.9382E−02	7.7331E−01	2.0054E−02	6.4796E−01	2.1080E−02	5.4910E−01
44	1.7806E−02	1.5027E+00	1.8550E−02	7.8117E−01	1.9190E−02	6.5459E−01	2.0173E−02	5.5463E−01
45	1.7066E−02	1.5178E+00	1.7769E−02	7.8888E−01	1.8381E−02	6.6106E−01	1.9322E−02	5.6011E−01
46	1.6370E−02	1.5326E+00	1.7036E−02	7.9644E−01	1.7624E−02	6.6731E−01	1.8523E−02	5.6548E−01
47	1.5716E−02	1.5471E+00	1.6348E−02	8.0387E−01	1.6910E−02	6.7357E−01	1.7773E−02	5.7071E−01
48	1.5100E−02	1.5614E+00	1.5699E−02	8.1117E−01	1.6237E−02	6.7972E−01	1.7067E−02	5.7588E−01
49	1.4519E−02	1.5755E+00	1.5089E−02	8.1834E−01	1.5606E−02	6.8563E−01	1.6401E−02	5.8098E−01
50	1.3971E−02	1.5893E+00	1.4512E−02	8.2538E−01	1.5009E−02	6.9154E−01	1.5774E−02	5.8595E−01
51	1.3453E−02	1.6028E+00	1.3968E−02	8.3231E−01	1.4445E−02	6.9740E−01	1.5181E−02	5.9083E−01
52	1.2963E−02	1.6162E+00	1.3454E−02	8.3912E−01	1.3913E−02	7.0301E−01	1.4620E−02	5.9567E−01
53	1.2499E−02	1.6293E+00	1.2967E−02	8.4580E−01	1.3409E−02	7.0860E−01	1.4090E−02	6.0041E−01
54	1.2059E−02	1.6422E+00	1.2506E−02	8.5238E−01	1.2931E−02	7.1419E−01	1.3589E−02	6.0504E−01
55	1.1643E−02	1.6549E+00	1.2068E−02	8.5886E−01	1.2479E−02	7.1954E−01	1.3112E−02	6.0963E−01
56	1.1247E−02	1.6675E+00	1.1653E−02	8.6524E−01	1.2050E−02	7.2483E−01	1.2660E−02	6.1416E−01
57	1.0870E−02	1.6798E+00	1.1259E−02	8.7150E−01	1.1640E−02	7.3017E−01	1.2231E−02	6.1858E−01
58	1.0513E−02	1.6919E+00	1.0885E−02	8.7767E−01	1.1253E−02	7.3528E−01	1.1824E−02	6.2292E−01
59	1.0172E−02	1.7038E+00	1.0528E−02	8.8375E−01	1.0886E−02	7.4020E−01	1.1435E−02	6.2726E−01
60	9.8480E−03	1.7156E+00	1.0189E−02	8.8974E−01	1.0532E−02	7.4543E−01	1.1066E−02	6.3151E−01

Ne; [Z=10]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.6416E+00	1.8367E−01	1.7500E+00	9.8299E−02	1.8315E+00	8.2346E−02	1.9202E+00	7.0210E−02
1	1.5766E+00	1.8982E−01	1.6841E+00	1.0140E−01	1.7616E+00	8.4983E−02	1.8494E+00	7.2364E−02
2	1.4086E+00	2.0785E−01	1.5114E+00	1.1057E−01	1.5783E+00	9.2804E−02	1.6616E+00	7.8813E−02
3	1.1946E+00	2.3660E−01	1.2873E+00	1.2537E−01	1.3414E+00	1.0543E−01	1.4147E+00	8.9387E−02
4	9.8264E−01	2.7450E−01	1.0625E+00	1.4501E−01	1.1054E+00	1.2210E−01	1.1656E+00	1.0354E−01
5	7.9732E−01	3.1983E−01	8.6405E−01	1.6857E−01	8.9880E−01	1.4193E−01	9.4736E−01	1.2041E−01
6	6.4543E−01	3.7084E−01	7.0032E−01	1.9512E−01	7.2862E−01	1.6420E−01	7.6840E−01	1.3924E−01
7	5.2482E−01	4.2582E−01	5.6975E−01	2.2373E−01	5.9271E−01	1.8823E−01	6.2533E−01	1.5954E−01
8	4.3037E−01	4.8318E−01	4.6714E−01	2.5354E−01	4.8598E−01	2.1322E−01	5.1245E−01	1.8081E−01
9	3.5663E−01	5.4148E−01	3.8675E−01	2.8383E−01	4.0238E−01	2.3859E−01	4.2418E−01	2.0235E−01
10	2.9884E−01	5.9953E−01	3.2361E−01	3.1400E−01	3.3655E−01	2.6394E−01	3.5494E−01	2.2373E−01
11	2.5314E−01	6.5635E−01	2.7359E−01	3.4355E−01	2.8444E−01	2.8874E−01	2.9994E−01	2.4477E−01
12	2.1690E−01	7.1135E−01	2.3388E−01	3.7219E−01	2.4311E−01	3.1274E−01	2.5622E−01	2.6520E−01
13	1.8777E−01	7.6404E−01	2.0195E−01	3.9964E−01	2.0985E−01	3.3580E−01	2.2113E−01	2.8470E−01
14	1.6404E−01	8.1416E−01	1.7597E−01	4.2578E−01	1.8279E−01	3.5776E−01	1.9263E−01	3.0323E−01
15	1.4453E−01	8.6164E−01	1.5466E−01	4.5054E−01	1.6061E−01	3.7850E−01	1.6922E−01	3.2086E−01
16	1.2833E−01	9.0650E−01	1.3700E−01	4.7393E−01	1.4225E−01	3.9808E−01	1.4980E−01	3.3755E−01
17	1.1475E−01	9.4884E−01	1.2222E−01	4.9600E−01	1.2687E−01	4.1663E−01	1.3360E−01	3.5319E−01
18	1.0325E−01	9.8881E−01	1.0975E−01	5.1680E−01	1.1390E−01	4.3409E−01	1.1995E−01	3.6791E−01
19	9.3428E−02	1.0266E+00	9.9136E−02	5.3644E−01	1.0287E−01	4.5049E−01	1.0830E−01	3.8191E−01
20	8.4979E−02	1.0623E+00	9.0026E−02	5.5499E−01	9.3402E−02	4.6606E−01	9.8298E−02	3.9517E−01
21	7.7655E−02	1.0963E+00	8.2148E−02	5.7257E−01	8.5204E−02	4.8086E−01	8.9682E−02	4.0760E−01
22	7.1262E−02	1.1285E+00	7.5289E−02	5.8926E−01	7.8080E−02	4.9482E−01	8.2187E−02	4.1939E−01
23	6.5648E−02	1.1593E+00	6.9278E−02	6.0515E−01	7.1844E−02	5.0809E−01	7.5597E−02	4.3074E−01
24	6.0690E−02	1.1887E+00	6.3979E−02	6.2032E−01	6.6334E−02	5.2087E−01	6.9788E−02	4.4159E−01
25	5.6287E−02	1.2168E+00	5.9281E−02	6.3484E−01	6.1451E−02	5.3308E−01	6.4659E−02	4.5182E−01
26	5.2358E−02	1.2439E+00	5.5095E−02	6.4877E−01	5.7112E−02	5.4468E−01	6.0092E−02	4.6164E−01
27	4.8837E−02	1.2699E+00	5.1347E−02	6.6218E−01	5.3223E−02	5.5590E−01	5.5986E−02	4.7124E−01
28	4.5667E−02	1.2951E+00	4.7977E−02	6.7509E−01	4.9718E−02	5.6682E−01	5.2295E−02	4.8048E−01
29	4.2802E−02	1.3193E+00	4.4934E−02	6.8758E−01	4.6561E−02	5.7725E−01	4.8979E−02	4.8924E−01
30	4.0205E−02	1.3429E+00	4.2176E−02	6.9966E−01	4.3706E−02	5.8729E−01	4.5974E−02	4.9774E−01
31	3.7840E−02	1.3657E+00	3.9669E−02	7.1137E−01	4.1101E−02	5.9717E−01	4.3227E−02	5.0615E−01
32	3.5682E−02	1.3879E+00	3.7381E−02	7.2275E−01	3.8724E−02	6.0675E−01	4.0723E−02	5.1428E−01
33	3.3706E−02	1.4094E+00	3.5288E−02	7.3381E−01	3.6557E−02	6.1592E−01	3.8445E−02	5.2202E−01
34	3.1892E−02	1.4304E+00	3.3367E−02	7.4458E−01	3.4567E−02	6.2492E−01	3.6353E−02	5.2958E−01
35	3.0222E−02	1.4509E+00	3.1600E−02	7.5508E−01	3.2729E−02	6.3381E−01	3.4417E−02	5.3714E−01
36	2.8682E−02	1.4709E+00	2.9970E−02	7.6532E−01	3.1039E−02	6.4237E−01	3.2634E−02	5.4447E−01
37	2.7257E−02	1.4905E+00	2.8464E−02	7.7532E−01	2.9481E−02	6.5064E−01	3.0996E−02	5.5143E−01
38	2.5937E−02	1.5096E+00	2.7068E−02	7.8510E−01	2.8032E−02	6.5888E−01	2.9477E−02	5.5829E−01
39	2.4711E−02	1.5283E+00	2.5773E−02	7.9466E−01	2.6686E−02	6.6697E−01	2.8057E−02	5.6520E−01
40	2.3570E−02	1.5466E+00	2.4568E−02	8.0402E−01	2.5440E−02	6.7471E−01	2.6740E−02	5.7189E−01
41	2.2507E−02	1.5645E+00	2.3446E−02	8.1319E−01	2.4278E−02	6.8233E−01	2.5521E−02	5.7824E−01
42	2.1514E−02	1.5821E+00	2.2399E−02	8.2217E−01	2.3189E−02	6.8997E−01	2.4381E−02	5.8455E−01
43	2.0586E−02	1.5994E+00	2.1419E−02	8.3097E−01	2.2174E−02	6.9733E−01	2.3308E−02	5.9092E−01
44	1.9717E−02	1.6163E+00	2.0503E−02	8.3961E−01	2.1227E−02	7.0443E−01	2.2306E−02	5.9710E−01
45	1.8902E−02	1.6329E+00	1.9644E−02	8.4808E−01	2.0335E−02	7.1158E−01	2.1374E−02	6.0295E−01
46	1.8136E−02	1.6492E+00	1.8837E−02	8.5639E−01	1.9496E−02	7.1864E−01	2.0496E−02	6.0878E−01
47	1.7415E−02	1.6652E+00	1.8079E−02	8.6456E−01	1.8712E−02	7.2537E−01	1.9664E−02	6.1472E−01
48	1.6737E−02	1.6810E+00	1.7365E−02	8.7258E−01	1.7974E−02	7.3202E−01	1.8885E−02	6.2045E−01
49	1.6098E−02	1.6965E+00	1.6692E−02	8.8046E−01	1.7274E−02	7.3874E−01	1.8156E−02	6.2586E−01
50	1.5494E−02	1.7117E+00	1.6058E−02	8.8820E−01	1.6616E−02	7.4523E−01	1.7465E−02	6.3130E−01
51	1.4924E−02	1.7266E+00	1.5458E−02	8.9582E−01	1.5998E−02	7.5146E−01	1.6808E−02	6.3686E−01
52	1.4384E−02	1.7414E+00	1.4891E−02	9.0330E−01	1.5410E−02	7.5778E−01	1.6189E−02	6.4220E−01
53	1.3873E−02	1.7558E+00	1.4355E−02	9.1067E−01	1.4852E−02	7.6406E−01	1.5608E−02	6.4723E−01
54	1.3389E−02	1.7701E+00	1.3847E−02	9.1791E−01	1.4327E−02	7.7001E−01	1.5055E−02	6.5232E−01
55	1.2929E−02	1.7841E+00	1.3365E−02	9.2504E−01	1.3829E−02	7.7589E−01	1.4526E−02	6.5756E−01
56	1.2493E−02	1.7980E+00	1.2908E−02	9.3206E−01	1.3353E−02	7.8191E−01	1.4028E−02	6.6254E−01
57	1.2078E−02	1.8116E+00	1.2473E−02	9.3897E−01	1.2903E−02	7.8770E−01	1.3557E−02	6.6723E−01
58	1.1683E−02	1.8250E+00	1.2060E−02	9.4577E−01	1.2477E−02	7.9322E−01	1.3108E−02	6.7203E−01
59	1.1308E−02	1.8382E+00	1.1667E−02	9.5247E−01	1.2069E−02	7.9882E−01	1.2676E−02	6.7700E−01
60	1.0950E−02	1.8512E+00	1.1292E−02	9.5906E−01	1.1678E−02	8.0465E−01	1.2267E−02	6.8173E−01

Na; [Z=11]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	4.7823E+00	9.9384E−02	5.1198E+00	5.3502E−02	5.3083E+00	4.5039E−02	5.5741E+00	3.8348E−02
1	3.4260E+00	1.3450E−01	3.6809E+00	7.2184E−02	3.8196E+00	6.0722E−02	4.0180E+00	5.1618E−02
2	1.9625E+00	2.1863E−01	2.1215E+00	1.1663E−01	2.2038E+00	9.8007E−02	2.3226E+00	8.3181E−02
3	1.3298E+00	2.9721E−01	1.4427E+00	1.5792E−01	1.4994E+00	1.3265E−01	1.5810E+00	1.1255E−01
4	1.0167E+00	3.5796E−01	1.1057E+00	1.8976E−01	1.1495E+00	1.5935E−01	1.2123E+00	1.3519E−01
5	8.1364E−01	4.1211E−01	8.8654E−01	2.1809E−01	9.2185E−01	1.8310E−01	9.7242E−01	1.5532E−01
6	6.6281E−01	4.6596E−01	7.2329E−01	2.4619E−01	7.5222E−01	2.0666E−01	7.9358E−01	1.7529E−01
7	5.4547E−01	5.2136E−01	5.9581E−01	2.7505E−01	6.1971E−01	2.3085E−01	6.5384E−01	1.9579E−01
8	4.5282E−01	5.7840E−01	4.9477E−01	3.0474E−01	5.1463E−01	2.5573E−01	5.4299E−01	2.1687E−01
9	3.7923E−01	6.3655E−01	4.1421E−01	3.3498E−01	4.3082E−01	2.8108E−01	4.5455E−01	2.3835E−01
10	3.2049E−01	6.9509E−01	3.4969E−01	3.6543E−01	3.6367E−01	3.0659E−01	3.8366E−01	2.5998E−01
11	2.7332E−01	7.5314E−01	2.9774E−01	3.9564E−01	3.0958E−01	3.3191E−01	3.2656E−01	2.8143E−01
12	2.3532E−01	8.1020E−01	2.5580E−01	4.2535E−01	2.6591E−01	3.5681E−01	2.8045E−01	3.0254E−01
13	2.0442E−01	8.6564E−01	2.2166E−01	4.5425E−01	2.3036E−01	3.8104E−01	2.4290E−01	3.2307E−01
14	1.7904E−01	9.1910E−01	1.9362E−01	4.8214E−01	2.0116E−01	4.0442E−01	2.1207E−01	3.4289E−01
15	1.5803E−01	9.7036E−01	1.7043E−01	5.0890E−01	1.7701E−01	4.2685E−01	1.8657E−01	3.6191E−01
16	1.4049E−01	1.0193E+00	1.5109E−01	5.3445E−01	1.5688E−01	4.4828E−01	1.6532E−01	3.8007E−01
17	1.2572E−01	1.0659E+00	1.3484E−01	5.5879E−01	1.3996E−01	4.6868E−01	1.4746E−01	3.9737E−01
18	1.1317E−01	1.1102E+00	1.2108E−01	5.8191E−01	1.2564E−01	4.8806E−01	1.3235E−01	4.1380E−01
19	1.0244E−01	1.1523E+00	1.0934E−01	6.0386E−01	1.1342E−01	5.0646E−01	1.1945E−01	4.2940E−01
20	9.3180E−02	1.1924E+00	9.9242E−02	6.2470E−01	1.0293E−01	5.2393E−01	1.0838E−01	4.4420E−01
21	8.5147E−02	1.2304E+00	9.0507E−02	6.4449E−01	9.3844E−02	5.4052E−01	9.8803E−02	4.5826E−01
22	7.8130E−02	1.2667E+00	8.2899E−02	6.6332E−01	8.5938E−02	5.5629E−01	9.0466E−02	4.7163E−01
23	7.1965E−02	1.3012E+00	7.6232E−02	6.8125E−01	7.9012E−02	5.7131E−01	8.3164E−02	4.8436E−01
24	6.6517E−02	1.3343E+00	7.0357E−02	6.9836E−01	7.2911E−02	5.8565E−01	7.6733E−02	4.9650E−01
25	6.1680E−02	1.3659E+00	6.5153E−02	7.1472E−01	6.7507E−02	5.9935E−01	7.1039E−02	5.0811E−01
26	5.7364E−02	1.3962E+00	6.0519E−02	7.3038E−01	6.2698E−02	6.1247E−01	6.5971E−02	5.1922E−01
27	5.3496E−02	1.4254E+00	5.6375E−02	7.4543E−01	5.8396E−02	6.2506E−01	6.1440E−02	5.2989E−01
28	5.0015E−02	1.4535E+00	5.2652E−02	7.5990E−01	5.4534E−02	6.3717E−01	5.7371E−02	5.4015E−01
29	4.6871E−02	1.4806E+00	4.9294E−02	7.7384E−01	5.1050E−02	6.4885E−01	5.3702E−02	5.5003E−01
30	4.4021E−02	1.5067E+00	4.6254E−02	7.8731E−01	4.7897E−02	6.6012E−01	5.0382E−02	5.5958E−01
31	4.1428E−02	1.5321E+00	4.3492E−02	8.0033E−01	4.5033E−02	6.7102E−01	4.7366E−02	5.6880E−01
32	3.9063E−02	1.5567E+00	4.0975E−02	8.1295E−01	4.2423E−02	6.8158E−01	4.4618E−02	5.7774E−01
33	3.6898E−02	1.5806E+00	3.8674E−02	8.2520E−01	4.0037E−02	6.9182E−01	4.2106E−02	5.8642E−01
34	3.4912E−02	1.6038E+00	3.6564E−02	8.3710E−01	3.7850E−02	7.0178E−01	3.9803E−02	5.9485E−01
35	3.3084E−02	1.6264E+00	3.4624E−02	8.4867E−01	3.5839E−02	7.1146E−01	3.7687E−02	6.0304E−01
36	3.1399E−02	1.6484E+00	3.2837E−02	8.5995E−01	3.3986E−02	7.2090E−01	3.5736E−02	6.1103E−01
37	2.9841E−02	1.6699E+00	3.1185E−02	8.7095E−01	3.2274E−02	7.3010E−01	3.3935E−02	6.1882E−01
38	2.8398E−02	1.6909E+00	2.9657E−02	8.8168E−01	3.0690E−02	7.3907E−01	3.2267E−02	6.2642E−01
39	2.7059E−02	1.7114E+00	2.8238E−02	8.9217E−01	2.9220E−02	7.4785E−01	3.0720E−02	6.3384E−01
40	2.5813E−02	1.7315E+00	2.6920E−02	9.0242E−01	2.7853E−02	7.5642E−01	2.9282E−02	6.4110E−01
41	2.4652E−02	1.7511E+00	2.5691E−02	9.1245E−01	2.6581E−02	7.6481E−01	2.7943E−02	6.4820E−01
42	2.3568E−02	1.7703E+00	2.4546E−02	9.2228E−01	2.5394E−02	7.7303E−01	2.6693E−02	6.5515E−01
43	2.2555E−02	1.7892E+00	2.3475E−02	9.3190E−01	2.4285E−02	7.8108E−01	2.5526E−02	6.6196E−01
44	2.1607E−02	1.8077E+00	2.2473E−02	9.4134E−01	2.3246E−02	7.8896E−01	2.4434E−02	6.6864E−01
45	2.0717E−02	1.8259E+00	2.1534E−02	9.5059E−01	2.2273E−02	7.9670E−01	2.3410E−02	6.7518E−01
46	1.9882E−02	1.8437E+00	2.0652E−02	9.5967E−01	2.1360E−02	8.0429E−01	2.2449E−02	6.8160E−01
47	1.9096E−02	1.8612E+00	1.9823E−02	9.6858E−01	2.0501E−02	8.1174E−01	2.1546E−02	6.8791E−01
48	1.8356E−02	1.8784E+00	1.9043E−02	9.7734E−01	1.9693E−02	8.1906E−01	2.0696E−02	6.9410E−01
49	1.7659E−02	1.8953E+00	1.8308E−02	9.8594E−01	1.8932E−02	8.2625E−01	1.9895E−02	7.0019E−01
50	1.7000E−02	1.9119E+00	1.7615E−02	9.9439E−01	1.8214E−02	8.3332E−01	1.9139E−02	7.0616E−01
51	1.6378E−02	1.9283E+00	1.6960E−02	1.0027E+00	1.7536E−02	8.4026E−01	1.8425E−02	7.1204E−01
52	1.5790E−02	1.9444E+00	1.6340E−02	1.0109E+00	1.6894E−02	8.4709E−01	1.7751E−02	7.1781E−01
53	1.5232E−02	1.9602E+00	1.5754E−02	1.0189E+00	1.6287E−02	8.5380E−01	1.7112E−02	7.2350E−01
54	1.4704E−02	1.9757E+00	1.5199E−02	1.0268E+00	1.5712E−02	8.6041E−01	1.6507E−02	7.2909E−01
55	1.4202E−02	1.9911E+00	1.4672E−02	1.0346E+00	1.5166E−02	8.6692E−01	1.5933E−02	7.3459E−01
56	1.3726E−02	2.0062E+00	1.4172E−02	1.0423E+00	1.4649E−02	8.7332E−01	1.5389E−02	7.4000E−01
57	1.3274E−02	2.0211E+00	1.3697E−02	1.0498E+00	1.4157E−02	8.7962E−01	1.4872E−02	7.4533E−01
58	1.2843E−02	2.0357E+00	1.3245E−02	1.0572E+00	1.3689E−02	8.8583E−01	1.4380E−02	7.5059E−01
59	1.2433E−02	2.0502E+00	1.2815E−02	1.0646E+00	1.3244E−02	8.9194E−01	1.3912E−02	7.5576E−01
60	1.2042E−02	2.0644E+00	1.2406E−02	1.0718E+00	1.2820E−02	8.9796E−01	1.3466E−02	7.6084E−01

Mg; [Z=12]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	5.1990E+00	1.1836E−01	5.5799E+00	6.3908E−02	5.7880E+00	5.3816E−02	6.0792E+00	4.5838E−02
1	4.0878E+00	1.4577E−01	4.4006E+00	7.8538E−02	4.5679E+00	6.6096E−02	4.8079E+00	5.6191E−02
2	2.4698E+00	2.2243E−01	2.6760E+00	1.1921E−01	2.7807E+00	1.0024E−01	2.9317E+00	8.5105E−02
3	1.5529E+00	3.1959E−01	1.6913E+00	1.7043E−01	1.7586E+00	1.4322E−01	1.8547E+00	1.2157E−01
4	1.1017E+00	4.0638E−01	1.2033E+00	2.1601E−01	1.2516E+00	1.8145E−01	1.3205E+00	1.5398E−01
5	8.4946E−01	4.7758E−01	9.2971E−01	2.5331E−01	9.6728E−01	2.1274E−01	1.0209E+00	1.8047E−01
6	6.8426E−01	5.3991E−01	7.5017E−01	2.8589E−01	7.8060E−01	2.4007E−01	8.2385E−01	2.0367E−01
7	5.6388E−01	5.9897E−01	6.1899E−01	3.1671E−01	6.4419E−01	2.6590E−01	6.7986E−01	2.2559E−01
8	4.7110E−01	6.5741E−01	5.1751E−01	3.4716E−01	5.3866E−01	2.9140E−01	5.6862E−01	2.4716E−01
9	3.9760E−01	7.1608E−01	4.3683E−01	3.7768E−01	4.5469E−01	3.1697E−01	4.7999E−01	2.6883E−01
10	3.3855E−01	7.7492E−01	3.7178E−01	4.0826E−01	3.8691E−01	3.4264E−01	4.0833E−01	2.9065E−01
11	2.9058E−01	8.3370E−01	3.1874E−01	4.3882E−01	3.3166E−01	3.6825E−01	3.4996E−01	3.1237E−01
12	2.5152E−01	8.9187E−01	2.7540E−01	4.6911E−01	2.8653E−01	3.9362E−01	3.0236E−01	3.3382E−01
13	2.1941E−01	9.4903E−01	2.3971E−01	4.9889E−01	2.4934E−01	4.1857E−01	2.6309E−01	3.5495E−01
14	1.9279E−01	1.0048E+00	2.1009E−01	5.2795E−01	2.1847E−01	4.4293E−01	2.3047E−01	3.7560E−01
15	1.7060E−01	1.0588E+00	1.8538E−01	5.5615E−01	1.9271E−01	4.6657E−01	2.0325E−01	3.9564E−01
16	1.5194E−01	1.1110E+00	1.6463E−01	5.8337E−01	1.7108E−01	4.8939E−01	1.8040E−01	4.1499E−01
17	1.3616E−01	1.1611E+00	1.4709E−01	6.0953E−01	1.5280E−01	5.1133E−01	1.6108E−01	4.3359E−01
18	1.2270E−01	1.2091E+00	1.3217E−01	6.3461E−01	1.3725E−01	5.3235E−01	1.4466E−01	4.5141E−01
19	1.1115E−01	1.2550E+00	1.1938E−01	6.5858E−01	1.2394E−01	5.5246E−01	1.3059E−01	4.6845E−01
20	1.0116E−01	1.2988E+00	1.0837E−01	6.8148E−01	1.1247E−01	5.7165E−01	1.1848E−01	4.8473E−01
21	9.2480E−02	1.3407E+00	9.8818E−02	7.0333E−01	1.0253E−01	5.8997E−01	1.0799E−01	5.0025E−01
22	8.4883E−02	1.3808E+00	9.0489E−02	7.2418E−01	9.3860E−02	6.0745E−01	9.8842E−02	5.1507E−01
23	7.8199E−02	1.4190E+00	8.3184E−02	7.4409E−01	8.6262E−02	6.2413E−01	9.0826E−02	5.2921E−01
24	7.2288E−02	1.4557E+00	7.6745E−02	7.6312E−01	7.9566E−02	6.4008E−01	8.3762E−02	5.4272E−01
25	6.7035E−02	1.4908E+00	7.1039E−02	7.8132E−01	7.3635E−02	6.5533E−01	7.7508E−02	5.5564E−01
26	6.2345E−02	1.5245E+00	6.5960E−02	7.9876E−01	6.8358E−02	6.6993E−01	7.1943E−02	5.6802E−01
27	5.8141E−02	1.5568E+00	6.1419E−02	8.1549E−01	6.3640E−02	6.8395E−01	6.6970E−02	5.7989E−01
28	5.4357E−02	1.5880E+00	5.7341E−02	8.3157E−01	5.9406E−02	6.9741E−01	6.2507E−02	5.9130E−01
29	5.0938E−02	1.6180E+00	5.3665E−02	8.4705E−01	5.5590E−02	7.1037E−01	5.8486E−02	6.0227E−01
30	4.7838E−02	1.6470E+00	5.0340E−02	8.6197E−01	5.2138E−02	7.2286E−01	5.4849E−02	6.1285E−01
31	4.5019E−02	1.6750E+00	4.7320E−02	8.7638E−01	4.9005E−02	7.3492E−01	5.1549E−02	6.2306E−01
32	4.2447E−02	1.7021E+00	4.4570E−02	8.9031E−01	4.6151E−02	7.4658E−01	4.8544E−02	6.3294E−01
33	4.0094E−02	1.7284E+00	4.2058E−02	9.0382E−01	4.3545E−02	7.5788E−01	4.5799E−02	6.4250E−01
34	3.7935E−02	1.7540E+00	3.9756E−02	9.1691E−01	4.1157E−02	7.6884E−01	4.3284E−02	6.5178E−01
35	3.5950E−02	1.7788E+00	3.7641E−02	9.2963E−01	3.8964E−02	7.7948E−01	4.0975E−02	6.6079E−01
36	3.4119E−02	1.8030E+00	3.5693E−02	9.4200E−01	3.6945E−02	7.8983E−01	3.8849E−02	6.6955E−01
37	3.2427E−02	1.8265E+00	3.3895E−02	9.5405E−01	3.5080E−02	7.9991E−01	3.6886E−02	6.7808E−01
38	3.0860E−02	1.8495E+00	3.2231E−02	9.6579E−01	3.3355E−02	8.0972E−01	3.5070E−02	6.8638E−01
39	2.9406E−02	1.8719E+00	3.0688E−02	9.7724E−01	3.1756E−02	8.1931E−01	3.3386E−02	6.9449E−01
40	2.8054E−02	1.8938E+00	2.9254E−02	9.8843E−01	3.0270E−02	8.2866E−01	3.1822E−02	7.0241E−01
41	2.6795E−02	1.9153E+00	2.7920E−02	9.9937E−01	2.8886E−02	8.3780E−01	3.0366E−02	7.1015E−01
42	2.5619E−02	1.9363E+00	2.6675E−02	1.0101E+00	2.7596E−02	8.4675E−01	2.9009E−02	7.1771E−01
43	2.4521E−02	1.9568E+00	2.5512E−02	1.0205E+00	2.6392E−02	8.5550E−01	2.7741E−02	7.2512E−01
44	2.3492E−02	1.9770E+00	2.4424E−02	1.0308E+00	2.5264E−02	8.6407E−01	2.6554E−02	7.3238E−01
45	2.2528E−02	1.9967E+00	2.3405E−02	1.0408E+00	2.4208E−02	8.7248E−01	2.5443E−02	7.3949E−01
46	2.1623E−02	2.0161E+00	2.2448E−02	1.0507E+00	2.3217E−02	8.8072E−01	2.4400E−02	7.4646E−01
47	2.0771E−02	2.0351E+00	2.1549E−02	1.0604E+00	2.2285E−02	8.8880E−01	2.3419E−02	7.5330E−01
48	1.9970E−02	2.0538E+00	2.0703E−02	1.0699E+00	2.1409E−02	8.9674E−01	2.2497E−02	7.6001E−01
49	1.9214E−02	2.0721E+00	1.9906E−02	1.0792E+00	2.0583E−02	9.0453E−01	2.1628E−02	7.6660E−01
50	1.8501E−02	2.0902E+00	1.9153E−02	1.0884E+00	1.9804E−02	9.1219E−01	2.0808E−02	7.7308E−01
51	1.7827E−02	2.1079E+00	1.8443E−02	1.0974E+00	1.9068E−02	9.1971E−01	2.0034E−02	7.7945E−01
52	1.7190E−02	2.1253E+00	1.7771E−02	1.1062E+00	1.8372E−02	9.2711E−01	1.9303E−02	7.8570E−01
53	1.6586E−02	2.1425E+00	1.7136E−02	1.1149E+00	1.7714E−02	9.3439E−01	1.8610E−02	7.9186E−01
54	1.6014E−02	2.1594E+00	1.6533E−02	1.1235E+00	1.7090E−02	9.4155E−01	1.7954E−02	7.9791E−01
55	1.5471E−02	2.1761E+00	1.5962E−02	1.1319E+00	1.6499E−02	9.4859E−01	1.7332E−02	8.0387E−01
56	1.4955E−02	2.1925E+00	1.5420E−02	1.1402E+00	1.5937E−02	9.5552E−01	1.6741E−02	8.0974E−01
57	1.4465E−02	2.2086E+00	1.4905E−02	1.1484E+00	1.5404E−02	9.6235E−01	1.6180E−02	8.1551E−01
58	1.3999E−02	2.2245E+00	1.4415E−02	1.1564E+00	1.4897E−02	9.6907E−01	1.5647E−02	8.2119E−01
59	1.3554E−02	2.2402E+00	1.3949E−02	1.1644E+00	1.4414E−02	9.7569E−01	1.5139E−02	8.2679E−01
60	1.3131E−02	2.2557E+00	1.3505E−02	1.1722E+00	1.3954E−02	9.8222E−01	1.4655E−02	8.3235E−01

Al; [Z=13]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	5.8588E+00	1.3210E−01	6.3025E+00	7.1601E−02	6.5403E+00	6.0318E−02	6.8747E+00	5.1372E−02
1	4.6839E+00	1.5975E−01	5.0545E+00	8.6406E−02	5.2486E+00	7.2754E−02	5.5260E+00	6.1871E−02
2	2.8993E+00	2.3638E−01	3.1505E+00	1.2722E−01	3.2750E+00	1.0703E−01	3.4536E+00	9.0908E−02
3	1.7944E+00	3.4084E−01	1.9621E+00	1.8246E−01	2.0413E+00	1.5340E−01	2.1539E+00	1.3024E−01
4	1.2198E+00	4.4565E−01	1.3385E+00	2.3762E−01	1.3932E+00	1.9968E−01	1.4705E+00	1.6949E−01
5	9.0675E−01	5.3577E−01	9.9701E−01	2.8493E−01	1.0379E+00	2.3937E−01	1.0957E+00	2.0316E−01
6	7.1549E−01	6.1144E−01	7.8795E−01	3.2457E−01	8.2038E−01	2.7264E−01	8.6618E−01	2.3136E−01
7	5.8495E−01	6.7819E−01	6.4509E−01	3.5947E−01	6.7174E−01	3.0191E−01	7.0934E−01	2.5616E−01
8	4.8851E−01	7.4063E−01	5.3930E−01	3.9204E−01	5.6169E−01	3.2918E−01	5.9317E−01	2.7929E−01
9	4.1370E−01	8.0125E−01	4.5698E−01	4.2360E−01	4.7600E−01	3.5562E−01	5.0268E−01	3.0170E−01
10	3.5399E−01	8.6110E−01	3.9104E−01	4.5470E−01	4.0727E−01	3.8173E−01	4.3007E−01	3.2384E−01
11	3.0538E−01	9.2064E−01	3.3713E−01	4.8566E−01	3.5110E−01	4.0766E−01	3.7073E−01	3.4583E−01
12	2.6561E−01	9.7964E−01	2.9285E−01	5.1638E−01	3.0494E−01	4.3339E−01	3.2198E−01	3.6761E−01
13	2.3268E−01	1.0380E+00	2.5607E−01	5.4673E−01	2.6659E−01	4.5882E−01	2.8146E−01	3.8916E−01
14	2.0517E−01	1.0953E+00	2.2528E−01	5.7658E−01	2.3448E−01	4.8384E−01	2.4751E−01	4.1037E−01
15	1.8206E−01	1.1513E+00	1.9939E−01	6.0579E−01	2.0747E−01	5.0833E−01	2.1895E−01	4.3112E−01
16	1.6253E−01	1.2058E+00	1.7749E−01	6.3423E−01	1.8462E−01	5.3217E−01	1.9479E−01	4.5133E−01
17	1.4592E−01	1.2586E+00	1.5886E−01	6.6180E−01	1.6518E−01	5.5528E−01	1.7424E−01	4.7093E−01
18	1.3169E−01	1.3096E+00	1.4292E−01	6.8843E−01	1.4856E−01	5.7762E−01	1.5667E−01	4.8986E−01
19	1.1943E−01	1.3586E+00	1.2922E−01	7.1409E−01	1.3426E−01	5.9913E−01	1.4156E−01	5.0810E−01
20	1.0881E−01	1.4058E+00	1.1736E−01	7.3875E−01	1.2190E−01	6.1981E−01	1.2849E−01	5.2563E−01
21	9.9546E−02	1.4511E+00	1.0705E−01	7.6242E−01	1.1116E−01	6.3965E−01	1.1714E−01	5.4246E−01
22	9.1426E−02	1.4946E+00	9.8045E−02	7.8511E−01	1.0177E−01	6.5868E−01	1.0723E−01	5.5859E−01
23	8.4269E−02	1.5363E+00	9.0132E−02	8.0686E−01	9.3529E−02	6.7692E−01	9.8521E−02	5.7405E−01
24	7.7931E−02	1.5763E+00	8.3147E−02	8.2772E−01	8.6256E−02	6.9440E−01	9.0842E−02	5.8886E−01
25	7.2292E−02	1.6148E+00	7.6953E−02	8.4771E−01	7.9809E−02	7.1115E−01	8.4037E−02	6.0307E−01
26	6.7252E−02	1.6517E+00	7.1436E−02	8.6689E−01	7.4069E−02	7.2723E−01	7.7980E−02	6.1669E−01
27	6.2730E−02	1.6873E+00	6.6501E−02	8.8531E−01	6.8937E−02	7.4266E−01	7.2565E−02	6.2977E−01
28	5.8656E−02	1.7215E+00	6.2070E−02	9.0302E−01	6.4330E−02	7.5750E−01	6.7706E−02	6.4234E−01
29	5.4974E−02	1.7544E+00	5.8076E−02	9.2007E−01	6.0179E−02	7.7178E−01	6.3329E−02	6.5443E−01
30	5.1634E−02	1.7863E+00	5.4463E−02	9.3650E−01	5.6425E−02	7.8553E−01	5.9371E−02	6.6608E−01
31	4.8595E−02	1.8170E+00	5.1183E−02	9.5235E−01	5.3019E−02	7.9880E−01	5.5781E−02	6.7732E−01
32	4.5822E−02	1.8468E+00	4.8198E−02	9.6767E−01	4.9918E−02	8.1163E−01	5.2514E−02	6.8818E−01
33	4.3284E−02	1.8757E+00	4.5471E−02	9.8249E−01	4.7088E−02	8.2403E−01	4.9531E−02	6.9869E−01
34	4.0955E−02	1.9037E+00	4.2973E−02	9.9685E−01	4.4496E−02	8.3605E−01	4.6800E−02	7.0886E−01
35	3.8813E−02	1.9308E+00	4.0680E−02	1.0108E+00	4.2116E−02	8.4770E−01	4.4294E−02	7.1873E−01
36	3.6838E−02	1.9573E+00	3.8569E−02	1.0243E+00	3.9926E−02	8.5902E−01	4.1987E−02	7.2831E−01
37	3.5013E−02	1.9830E+00	3.6621E−02	1.0375E+00	3.7906E−02	8.7003E−01	3.9859E−02	7.3762E−01
38	3.3322E−02	2.0080E+00	3.4819E−02	1.0503E+00	3.6037E−02	8.8074E−01	3.7891E−02	7.4669E−01
39	3.1754E−02	2.0325E+00	3.3149E−02	1.0628E+00	3.4305E−02	8.9118E−01	3.6068E−02	7.5552E−01
40	3.0296E−02	2.0563E+00	3.1599E−02	1.0749E+00	3.2697E−02	9.0135E−01	3.4375E−02	7.6414E−01
41	2.8937E−02	2.0796E+00	3.0155E−02	1.0868E+00	3.1201E−02	9.1129E−01	3.2800E−02	7.7255E−01
42	2.7670E−02	2.1024E+00	2.8810E−02	1.0984E+00	2.9806E−02	9.2100E−01	3.1332E−02	7.8076E−01
43	2.6486E−02	2.1247E+00	2.7554E−02	1.1098E+00	2.8504E−02	9.3050E−01	2.9961E−02	7.8879E−01
44	2.5377E−02	2.1466E+00	2.6378E−02	1.1209E+00	2.7286E−02	9.3979E−01	2.8679E−02	7.9666E−01
45	2.4338E−02	2.1680E+00	2.5278E−02	1.1318E+00	2.6145E−02	9.4888E−01	2.7478E−02	8.0435E−01
46	2.3362E−02	2.1890E+00	2.4244E−02	1.1424E+00	2.5074E−02	9.5780E−01	2.6352E−02	8.1189E−01
47	2.2445E−02	2.2096E+00	2.3274E−02	1.1529E+00	2.4069E−02	9.6654E−01	2.5293E−02	8.1929E−01
48	2.1582E−02	2.2298E+00	2.2361E−02	1.1632E+00	2.3123E−02	9.7511E−01	2.4298E−02	8.2654E−01
49	2.0768E−02	2.2496E+00	2.1501E−02	1.1732E+00	2.2232E−02	9.8353E−01	2.3360E−02	8.3366E−01
50	2.0000E−02	2.2691E+00	2.0690E−02	1.1831E+00	2.1391E−02	9.9179E−01	2.2476E−02	8.4065E−01
51	1.9274E−02	2.2883E+00	1.9924E−02	1.1928E+00	2.0598E−02	9.9991E−01	2.1641E−02	8.4751E−01
52	1.8587E−02	2.3071E+00	1.9200E−02	1.2024E+00	1.9848E−02	1.0079E+00	2.0852E−02	8.5426E−01
53	1.7937E−02	2.3257E+00	1.8514E−02	1.2118E+00	1.9138E−02	1.0157E+00	2.0105E−02	8.6090E−01
54	1.7321E−02	2.3439E+00	1.7865E−02	1.2210E+00	1.8465E−02	1.0235E+00	1.9398E−02	8.6742E−01
55	1.6737E−02	2.3619E+00	1.7249E−02	1.2301E+00	1.7828E−02	1.0310E+00	1.8727E−02	8.7384E−01
56	1.6182E−02	2.3796E+00	1.6665E−02	1.2390E+00	1.7222E−02	1.0385E+00	1.8090E−02	8.8016E−01
57	1.5654E−02	2.3970E+00	1.6109E−02	1.2478E+00	1.6647E−02	1.0459E+00	1.7485E−02	8.8638E−01
58	1.5152E−02	2.4142E+00	1.5581E−02	1.2565E+00	1.6100E−02	1.0531E+00	1.6910E−02	8.9250E−01
59	1.4673E−02	2.4311E+00	1.5079E−02	1.2651E+00	1.5580E−02	1.0602E+00	1.6363E−02	8.9853E−01
60	1.4218E−02	2.4478E+00	1.4600E−02	1.2734E+00	1.5085E−02	1.0673E+00	1.5842E−02	9.0448E−01

Si; [Z=14]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	5.7670E+00	1.5342E−01	6.2279E+00	8.3536E−02	6.4654E+00	7.0425E−02	6.7983E+00	6.0010E−02
1	4.8204E+00	1.7816E−01	5.2205E+00	9.6834E−02	5.4236E+00	8.1585E−02	5.7124E+00	6.9415E−02
2	3.1875E+00	2.4867E−01	3.4760E+00	1.3453E−01	3.6152E+00	1.1325E−01	3.8137E+00	9.6236E−02
3	2.0207E+00	3.5156E−01	2.2195E+00	1.8911E−01	2.3103E+00	1.5910E−01	2.4388E+00	1.3513E−01
4	1.3552E+00	4.6543E−01	1.4952E+00	2.4918E−01	1.5573E+00	2.0952E−01	1.6445E+00	1.7791E−01
5	9.8182E−01	5.7164E−01	1.0853E+00	3.0509E−01	1.1307E+00	2.5643E−01	1.1942E+00	2.1770E−01
6	7.5804E−01	6.6307E−01	8.3889E−01	3.5311E−01	8.7403E−01	2.9671E−01	9.2322E−01	2.5186E−01
7	6.1157E−01	7.4140E−01	6.7753E−01	3.9414E−01	7.0598E−01	3.3113E−01	7.4578E−01	2.8105E−01
8	5.0775E−01	8.1102E−01	5.6308E−01	4.3055E−01	5.8679E−01	3.6166E−01	6.1992E−01	3.0693E−01
9	4.2953E−01	8.7578E−01	4.7675E−01	4.6432E−01	4.9689E−01	3.8996E−01	5.2497E−01	3.3092E−01
10	3.6811E−01	9.3811E−01	4.0879E−01	4.9671E−01	4.2608E−01	4.1710E−01	4.5017E−01	3.5392E−01
11	3.1849E−01	9.9907E−01	3.5366E−01	5.2841E−01	3.6861E−01	4.4366E−01	3.8945E−01	3.7643E−01
12	2.7802E−01	1.0590E+00	3.0848E−01	5.5962E−01	3.2149E−01	4.6983E−01	3.3964E−01	3.9860E−01
13	2.4442E−01	1.1183E+00	2.7084E−01	5.9046E−01	2.8221E−01	4.9567E−01	2.9812E−01	4.2050E−01
14	2.1623E−01	1.1768E+00	2.3915E−01	6.2089E−01	2.4915E−01	5.2117E−01	2.6315E−01	4.4212E−01
15	1.9242E−01	1.2343E+00	2.1234E−01	6.5082E−01	2.2115E−01	5.4626E−01	2.3354E−01	4.6338E−01
16	1.7220E−01	1.2905E+00	1.8952E−01	6.8015E−01	1.9733E−01	5.7084E−01	2.0834E−01	4.8421E−01
17	1.5492E−01	1.3454E+00	1.7000E−01	7.0877E−01	1.7694E−01	5.9484E−01	1.8677E−01	5.0456E−01
18	1.4006E−01	1.3987E+00	1.5321E−01	7.3662E−01	1.5941E−01	6.1819E−01	1.6822E−01	5.2435E−01
19	1.2721E−01	1.4504E+00	1.3870E−01	7.6363E−01	1.4426E−01	6.4083E−01	1.5220E−01	5.4355E−01
20	1.1604E−01	1.5003E+00	1.2610E−01	7.8975E−01	1.3111E−01	6.6274E−01	1.3828E−01	5.6213E−01
21	1.0627E−01	1.5485E+00	1.1511E−01	8.1497E−01	1.1964E−01	6.8389E−01	1.2615E−01	5.8006E−01
22	9.7686E−02	1.5950E+00	1.0548E−01	8.3928E−01	1.0959E−01	7.0428E−01	1.1553E−01	5.9734E−01
23	9.0108E−02	1.6398E+00	9.7002E−02	8.6268E−01	1.0074E−01	7.2390E−01	1.0617E−01	6.1398E−01
24	8.3384E−02	1.6830E+00	8.9502E−02	8.8521E−01	9.2919E−02	7.4278E−01	9.7910E−02	6.2999E−01
25	7.7393E−02	1.7245E+00	8.2842E−02	9.0687E−01	8.5977E−02	7.6095E−01	9.0575E−02	6.4539E−01
26	7.2032E−02	1.7645E+00	7.6904E−02	9.2771E−01	7.9790E−02	7.7842E−01	8.4039E−02	6.6020E−01
27	6.7216E−02	1.8031E+00	7.1587E−02	9.4777E−01	7.4253E−02	7.9523E−01	7.8192E−02	6.7444E−01
28	6.2873E−02	1.8403E+00	6.6811E−02	9.6707E−01	6.9280E−02	8.1141E−01	7.2942E−02	6.8815E−01
29	5.8944E−02	1.8762E+00	6.2503E−02	9.8568E−01	6.4797E−02	8.2699E−01	6.8211E−02	7.0136E−01
30	5.5377E−02	1.9108E+00	5.8606E−02	1.0036E+00	6.0743E−02	8.4202E−01	6.3933E−02	7.1409E−01
31	5.2130E−02	1.9444E+00	5.5068E−02	1.0209E+00	5.7064E−02	8.5652E−01	6.0052E−02	7.2638E−01
32	4.9165E−02	1.9768E+00	5.1847E−02	1.0377E+00	5.3716E−02	8.7053E−01	5.6521E−02	7.3824E−01
33	4.6449E−02	2.0082E+00	4.8906E−02	1.0538E+00	5.0660E−02	8.8408E−01	5.3299E−02	7.4972E−01
34	4.3957E−02	2.0387E+00	4.6212E−02	1.0695E+00	4.7862E−02	8.9719E−01	5.0349E−02	7.6082E−01
35	4.1663E−02	2.0683E+00	4.3740E−02	1.0847E+00	4.5294E−02	9.0990E−01	4.7642E−02	7.7159E−01
36	3.9547E−02	2.0970E+00	4.1464E−02	1.0994E+00	4.2931E−02	9.2224E−01	4.5153E−02	7.8203E−01
37	3.7592E−02	2.1250E+00	3.9364E−02	1.1138E+00	4.0752E−02	9.3422E−01	4.2856E−02	7.9217E−01
38	3.5780E−02	2.1522E+00	3.7423E−02	1.1277E+00	3.8737E−02	9.4587E−01	4.0734E−02	8.0203E−01
39	3.4099E−02	2.1788E+00	3.5624E−02	1.1412E+00	3.6871E−02	9.5720E−01	3.8768E−02	8.1163E−01
40	3.2536E−02	2.2046E+00	3.3955E−02	1.1545E+00	3.5138E−02	9.6825E−01	3.6944E−02	8.2097E−01
41	3.1080E−02	2.2299E+00	3.2401E−02	1.1673E+00	3.3527E−02	9.7902E−01	3.5247E−02	8.3009E−01
42	2.9722E−02	2.2546E+00	3.0954E−02	1.1799E+00	3.2026E−02	9.8954E−01	3.3666E−02	8.3899E−01
43	2.8452E−02	2.2788E+00	2.9602E−02	1.1922E+00	3.0625E−02	9.9980E−01	3.2191E−02	8.4768E−01
44	2.7263E−02	2.3024E+00	2.8339E−02	1.2042E+00	2.9314E−02	1.0099E+00	3.0812E−02	8.5617E−01
45	2.6149E−02	2.3255E+00	2.7155E−02	1.2160E+00	2.8088E−02	1.0197E+00	2.9520E−02	8.6448E−01
46	2.5103E−02	2.3482E+00	2.6045E−02	1.2275E+00	2.6937E−02	1.0293E+00	2.8309E−02	8.7262E−01
47	2.4120E−02	2.3704E+00	2.5002E−02	1.2387E+00	2.5856E−02	1.0387E+00	2.7172E−02	8.8059E−01
48	2.3194E−02	2.3922E+00	2.4022E−02	1.2498E+00	2.4840E−02	1.0480E+00	2.6102E−02	8.8841E−01
49	2.2322E−02	2.4136E+00	2.3098E−02	1.2606E+00	2.3883E−02	1.0570E+00	2.5095E−02	8.9607E−01
50	2.1499E−02	2.4346E+00	2.2227E−02	1.2713E+00	2.2980E−02	1.0659E+00	2.4145E−02	9.0359E−01
51	2.0721E−02	2.4553E+00	2.1405E−02	1.2817E+00	2.2128E−02	1.0746E+00	2.3248E−02	9.1097E−01
52	1.9986E−02	2.4755E+00	2.0627E−02	1.2920E+00	2.1323E−02	1.0832E+00	2.2401E−02	9.1822E−01
53	1.9289E−02	2.4955E+00	1.9892E−02	1.3021E+00	2.0561E−02	1.0916E+00	2.1600E−02	9.2535E−01
54	1.8629E−02	2.5151E+00	1.9195E−02	1.3120E+00	1.9839E−02	1.0999E+00	2.0840E−02	9.3236E−01
55	1.8003E−02	2.5345E+00	1.8535E−02	1.3218E+00	1.9155E−02	1.1081E+00	2.0120E−02	9.3925E−01
56	1.7408E−02	2.5535E+00	1.7908E−02	1.3314E+00	1.8506E−02	1.1161E+00	1.9437E−02	9.4603E−01
57	1.6843E−02	2.5722E+00	1.7312E−02	1.3408E+00	1.7889E−02	1.1240E+00	1.8788E−02	9.5270E−01
58	1.6305E−02	2.5907E+00	1.6746E−02	1.3501E+00	1.7303E−02	1.1317E+00	1.8172E−02	9.5926E−01
59	1.5793E−02	2.6088E+00	1.6207E−02	1.3593E+00	1.6744E−02	1.1394E+00	1.7585E−02	9.6573E−01
60	1.5305E−02	2.6268E+00	1.5693E−02	1.3683E+00	1.6213E−02	1.1470E+00	1.7025E−02	9.7211E−01

P; [Z=15]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	5.4043E+00	1.7700E−01	5.8630E+00	9.6904E−02	6.0901E+00	8.1757E−02	6.4054E+00	6.9716E−02
1	4.6991E+00	1.9853E−01	5.1119E+00	1.0850E−01	5.3138E+00	9.1488E−02	5.5987E+00	7.7888E−02
2	3.3312E+00	2.6134E−01	3.6481E+00	1.4221E−01	3.7964E+00	1.1981E−01	4.0063E+00	1.0187E−01
3	2.2044E+00	3.5783E−01	2.4327E+00	1.9360E−01	2.5340E+00	1.6299E−01	2.6761E+00	1.3851E−01
4	1.4906E+00	4.7310E−01	1.6542E+00	2.5457E−01	1.7242E+00	2.1419E−01	1.8217E+00	1.8196E−01
5	1.0670E+00	5.8970E−01	1.1870E+00	3.1606E−01	1.2376E+00	2.6579E−01	1.3080E+00	2.2573E−01
6	8.1013E−01	6.9558E−01	9.0182E−01	3.7181E−01	9.4031E−01	3.1258E−01	9.9378E−01	2.6542E−01
7	6.4462E−01	7.8740E−01	7.1774E−01	4.2010E−01	7.4839E−01	3.5310E−01	7.9094E−01	2.9979E−01
8	5.3036E−01	8.6737E−01	5.9083E−01	4.6203E−01	6.1611E−01	3.8827E−01	6.5119E−01	3.2960E−01
9	4.4664E−01	9.3899E−01	4.9795E−01	4.9945E−01	5.1930E−01	4.1964E−01	5.4887E−01	3.5621E−01
10	3.8226E−01	1.0056E+00	4.2643E−01	5.3419E−01	4.4475E−01	4.4875E−01	4.7010E−01	3.8088E−01
11	3.3092E−01	1.0692E+00	3.6927E−01	5.6730E−01	3.8514E−01	4.7650E−01	4.0710E−01	4.0440E−01
12	2.8940E−01	1.1310E+00	3.2289E−01	5.9937E−01	3.3675E−01	5.0338E−01	3.5595E−01	4.2717E−01
13	2.5504E−01	1.1915E+00	2.8435E−01	6.3082E−01	2.9653E−01	5.2974E−01	3.1342E−01	4.4951E−01
14	2.2620E−01	1.2511E+00	2.5185E−01	6.6181E−01	2.6260E−01	5.5570E−01	2.7752E−01	4.7151E−01
15	2.0180E−01	1.3097E+00	2.2427E−01	6.9233E−01	2.3379E−01	5.8128E−01	2.4704E−01	4.9319E−01
16	1.8100E−01	1.3673E+00	2.0070E−01	7.2233E−01	2.0916E−01	6.0642E−01	2.2098E−01	5.1450E−01
17	1.6317E−01	1.4238E+00	1.8044E−01	7.5176E−01	1.8799E−01	6.3109E−01	1.9857E−01	5.3541E−01
18	1.4779E−01	1.4790E+00	1.6294E−01	7.8054E−01	1.6970E−01	6.5522E−01	1.7921E−01	5.5587E−01
19	1.3444E−01	1.5327E+00	1.4775E−01	8.0861E−01	1.5382E−01	6.7875E−01	1.6240E−01	5.7582E−01
20	1.2280E−01	1.5849E+00	1.3451E−01	8.3592E−01	1.3999E−01	7.0165E−01	1.4775E−01	5.9523E−01
21	1.1260E−01	1.6356E+00	1.2292E−01	8.6242E−01	1.2787E−01	7.2388E−01	1.3493E−01	6.1408E−01
22	1.0361E−01	1.6847E+00	1.1272E−01	8.8810E−01	1.1722E−01	7.4541E−01	1.2366E−01	6.3234E−01
23	9.5662E−02	1.7322E+00	1.0373E−01	9.1294E−01	1.0782E−01	7.6625E−01	1.1371E−01	6.5000E−01
24	8.8597E−02	1.7781E+00	9.5753E−02	9.3695E−01	9.9495E−02	7.8638E−01	1.0490E−01	6.6707E−01
25	8.2290E−02	1.8225E+00	8.8657E−02	9.6012E−01	9.2088E−02	8.0581E−01	9.7067E−02	6.8355E−01
26	7.6640E−02	1.8653E+00	8.2320E−02	9.8249E−01	8.5476E−02	8.2457E−01	9.0075E−02	6.9945E−01
27	7.1557E−02	1.9067E+00	7.6641E−02	1.0041E+00	7.9552E−02	8.4267E−01	8.3812E−02	7.1479E−01
28	6.6968E−02	1.9467E+00	7.1532E−02	1.0249E+00	7.4225E−02	8.6013E−01	7.8184E−02	7.2959E−01
29	6.2812E−02	1.9854E+00	6.6921E−02	1.0450E+00	6.9420E−02	8.7698E−01	7.3108E−02	7.4387E−01
30	5.9036E−02	2.0228E+00	6.2747E−02	1.0644E+00	6.5072E−02	8.9324E−01	6.8515E−02	7.5766E−01
31	5.5594E−02	2.0590E+00	5.8956E−02	1.0832E+00	6.1125E−02	9.0896E−01	6.4348E−02	7.7097E−01
32	5.2449E−02	2.0940E+00	5.5504E−02	1.1013E+00	5.7532E−02	9.2415E−01	6.0554E−02	7.8384E−01
33	4.9567E−02	2.1280E+00	5.2350E−02	1.1188E+00	5.4251E−02	9.3884E−01	5.7092E−02	7.9629E−01
34	4.6920E−02	2.1610E+00	4.9463E−02	1.1358E+00	5.1247E−02	9.5307E−01	5.3924E−02	8.0834E−01
35	4.4482E−02	2.1930E+00	4.6811E−02	1.1523E+00	4.8491E−02	9.6686E−01	5.1016E−02	8.2002E−01
36	4.2232E−02	2.2241E+00	4.4371E−02	1.1683E+00	4.5954E−02	9.8023E−01	4.8342E−02	8.3134E−01
37	4.0151E−02	2.2543E+00	4.2120E−02	1.1838E+00	4.3616E−02	9.9322E−01	4.5876E−02	8.4234E−01
38	3.8223E−02	2.2838E+00	4.0039E−02	1.1989E+00	4.1454E−02	1.0058E+00	4.3598E−02	8.5302E−01
39	3.6433E−02	2.3125E+00	3.8111E−02	1.2136E+00	3.9452E−02	1.0181E+00	4.1488E−02	8.6341E−01
40	3.4768E−02	2.3405E+00	3.6322E−02	1.2278E+00	3.7595E−02	1.0301E+00	3.9530E−02	8.7353E−01
41	3.3217E−02	2.3678E+00	3.4657E−02	1.2418E+00	3.5867E−02	1.0417E+00	3.7710E−02	8.8338E−01
42	3.1769E−02	2.3944E+00	3.3107E−02	1.2553E+00	3.4258E−02	1.0531E+00	3.6015E−02	8.9299E−01
43	3.0415E−02	2.4205E+00	3.1659E−02	1.2686E+00	3.2756E−02	1.0641E+00	3.4434E−02	9.0237E−01
44	2.9148E−02	2.4459E+00	3.0306E−02	1.2816E+00	3.1353E−02	1.0750E+00	3.2956E−02	9.1152E−01
45	2.7960E−02	2.4709E+00	2.9040E−02	1.2942E+00	3.0039E−02	1.0855E+00	3.1572E−02	9.2048E−01
46	2.6844E−02	2.4953E+00	2.7852E−02	1.3066E+00	2.8807E−02	1.0959E+00	3.0275E−02	9.2924E−01
47	2.5795E−02	2.5192E+00	2.6736E−02	1.3187E+00	2.7650E−02	1.1060E+00	2.9057E−02	9.3781E−01
48	2.4808E−02	2.5426E+00	2.5687E−02	1.3306E+00	2.6562E−02	1.1160E+00	2.7912E−02	9.4621E−01
49	2.3878E−02	2.5656E+00	2.4699E−02	1.3423E+00	2.5538E−02	1.1257E+00	2.6834E−02	9.5444E−01
50	2.3000E−02	2.5882E+00	2.3767E−02	1.3537E+00	2.4573E−02	1.1352E+00	2.5818E−02	9.6251E−01
51	2.2170E−02	2.6104E+00	2.2888E−02	1.3649E+00	2.3662E−02	1.1446E+00	2.4859E−02	9.7043E−01
52	2.1385E−02	2.6322E+00	2.2057E−02	1.3759E+00	2.2801E−02	1.1538E+00	2.3953E−02	9.7821E−01
53	2.0643E−02	2.6536E+00	2.1271E−02	1.3867E+00	2.1986E−02	1.1628E+00	2.3096E−02	9.8584E−01
54	1.9939E−02	2.6746E+00	2.0527E−02	1.3973E+00	2.1215E−02	1.1717E+00	2.2285E−02	9.9334E−01
55	1.9271E−02	2.6954E+00	1.9821E−02	1.4078E+00	2.0484E−02	1.1804E+00	2.1515E−02	1.0007E+00
56	1.8636E−02	2.7157E+00	1.9151E−02	1.4181E+00	1.9790E−02	1.1890E+00	2.0785E−02	1.0080E+00
57	1.8033E−02	2.7358E+00	1.8515E−02	1.4282E+00	1.9131E−02	1.1974E+00	2.0092E−02	1.0151E+00
58	1.7460E−02	2.7556E+00	1.7910E−02	1.4381E+00	1.8504E−02	1.2057E+00	1.9433E−02	1.0221E+00
59	1.6914E−02	2.7750E+00	1.7334E−02	1.4479E+00	1.7908E−02	1.2139E+00	1.8806E−02	1.0290E+00
60	1.6394E−02	2.7943E+00	1.6786E−02	1.4575E+00	1.7340E−02	1.2220E+00	1.8208E−02	1.0359E+00

S; [Z=16]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	5.0445E+00	1.9983E−01	5.5003E+00	1.1006E−01	5.7166E+00	9.2940E−02	6.0148E+00	7.9309E−02
1	4.5062E+00	2.1901E−01	4.9261E+00	1.2043E−01	5.1240E+00	1.0162E−01	5.4007E+00	8.6578E−02
2	3.3751E+00	2.7550E−01	3.7136E+00	1.5086E−01	3.8669E+00	1.2720E−01	4.0828E+00	1.0821E−01
3	2.3354E+00	3.6478E−01	2.5903E+00	1.9859E−01	2.6999E+00	1.6733E−01	2.8526E+00	1.4229E−01
4	1.6115E+00	4.7690E−01	1.7993E+00	2.5809E−01	1.8770E+00	2.1731E−01	1.9843E+00	1.8470E−01
5	1.1541E+00	5.9775E−01	1.2931E+00	3.2194E−01	1.3494E+00	2.7091E−01	1.4270E+00	2.3017E−01
6	8.6808E−01	7.1423E−01	9.7316E−01	3.8340E−01	1.0157E+00	3.2250E−01	1.0741E+00	2.7395E−01
7	6.8299E−01	8.1899E−01	7.6521E−01	4.3867E−01	7.9856E−01	3.6889E−01	8.4450E−01	3.1330E−01
8	5.5679E−01	9.1077E−01	6.2350E−01	4.8699E−01	6.5066E−01	4.0943E−01	6.8801E−01	3.4771E−01
9	4.6595E−01	9.9171E−01	5.2180E−01	5.2946E−01	5.4451E−01	4.4508E−01	5.7581E−01	3.7790E−01
10	3.9738E−01	1.0649E+00	4.4520E−01	5.6770E−01	4.6461E−01	4.7711E−01	4.9129E−01	4.0510E−01
11	3.4348E−01	1.1330E+00	3.8498E−01	6.0318E−01	4.0179E−01	5.0685E−01	4.2485E−01	4.3031E−01
12	3.0042E−01	1.1976E+00	3.3678E−01	6.3679E−01	3.5148E−01	5.3503E−01	3.7169E−01	4.5417E−01
13	2.6504E−01	1.2601E+00	2.9705E−01	6.6926E−01	3.1001E−01	5.6223E−01	3.2783E−01	4.7722E−01
14	2.3542E−01	1.3212E+00	2.6366E−01	7.0098E−01	2.7513E−01	5.8881E−01	2.9093E−01	4.9973E−01
15	2.1040E−01	1.3811E+00	2.3533E−01	7.3211E−01	2.4553E−01	6.1489E−01	2.5960E−01	5.2184E−01
16	1.8907E−01	1.4399E+00	2.1108E−01	7.6271E−01	2.2019E−01	6.4054E−01	2.3277E−01	5.4358E−01
17	1.7075E−01	1.4977E+00	1.9019E−01	7.9279E−01	1.9834E−01	6.6575E−01	2.0963E−01	5.6494E−01
18	1.5490E−01	1.5543E+00	1.7208E−01	8.2231E−01	1.7940E−01	6.9049E−01	1.8958E−01	5.8591E−01
19	1.4113E−01	1.6097E+00	1.5631E−01	8.5122E−01	1.6290E−01	7.1473E−01	1.7210E−01	6.0646E−01
20	1.2909E−01	1.6638E+00	1.4252E−01	8.7947E−01	1.4847E−01	7.3842E−01	1.5682E−01	6.2654E−01
21	1.1851E−01	1.7165E+00	1.3040E−01	9.0702E−01	1.3579E−01	7.6152E−01	1.4339E−01	6.4613E−01
22	1.0918E−01	1.7678E+00	1.1971E−01	9.3384E−01	1.2461E−01	7.8401E−01	1.3154E−01	6.6520E−01
23	1.0090E−01	1.8176E+00	1.1025E−01	9.5990E−01	1.1472E−01	8.0587E−01	1.2106E−01	6.8373E−01
24	9.3536E−02	1.8660E+00	1.0185E−01	9.8519E−01	1.0593E−01	8.2708E−01	1.1176E−01	7.0171E−01
25	8.6951E−02	1.9128E+00	9.4349E−02	1.0097E+00	9.8093E−02	8.4763E−01	1.0346E−01	7.1915E−01
26	8.1041E−02	1.9582E+00	8.7643E−02	1.0334E+00	9.1084E−02	8.6754E−01	9.6043E−02	7.3603E−01
27	7.5719E−02	2.0022E+00	8.1623E−02	1.0564E+00	8.4795E−02	8.8681E−01	8.9388E−02	7.5237E−01
28	7.0908E−02	2.0448E+00	7.6200E−02	1.0786E+00	7.9133E−02	9.0546E−01	8.3398E−02	7.6817E−01
29	6.6546E−02	2.0861E+00	7.1301E−02	1.1001E+00	7.4019E−02	9.2349E−01	7.7990E−02	7.8346E−01
30	6.2579E−02	2.1261E+00	6.6862E−02	1.1210E+00	6.9388E−02	9.4093E−01	7.3093E−02	7.9825E−01
31	5.8960E−02	2.1648E+00	6.2827E−02	1.1411E+00	6.5180E−02	9.5782E−01	6.8646E−02	8.1256E−01
32	5.5649E−02	2.2024E+00	5.9150E−02	1.1606E+00	6.1347E−02	9.7415E−01	6.4596E−02	8.2640E−01
33	5.2613E−02	2.2389E+00	5.5790E−02	1.1795E+00	5.7846E−02	9.8998E−01	6.0898E−02	8.3981E−01
34	4.9821E−02	2.2743E+00	5.2712E−02	1.1978E+00	5.4640E−02	1.0053E+00	5.7513E−02	8.5280E−01
35	4.7249E−02	2.3087E+00	4.9885E−02	1.2155E+00	5.1697E−02	1.0202E+00	5.4406E−02	8.6539E−01
36	4.4873E−02	2.3422E+00	4.7282E−02	1.2328E+00	4.8989E−02	1.0346E+00	5.1548E−02	8.7761E−01
37	4.2675E−02	2.3747E+00	4.4882E−02	1.2495E+00	4.6492E−02	1.0486E+00	4.8913E−02	8.8946E−01
38	4.0636E−02	2.4064E+00	4.2662E−02	1.2657E+00	4.4184E−02	1.0622E+00	4.6478E−02	9.0098E−01
39	3.8743E−02	2.4372E+00	4.0605E−02	1.2816E+00	4.2046E−02	1.0754E+00	4.4224E−02	9.1219E−01
40	3.6980E−02	2.4673E+00	3.8696E−02	1.2969E+00	4.0062E−02	1.0883E+00	4.2133E−02	9.2308E−01
41	3.5337E−02	2.4967E+00	3.6921E−02	1.3119E+00	3.8218E−02	1.1008E+00	4.0188E−02	9.3370E−01
42	3.3803E−02	2.5253E+00	3.5267E−02	1.3266E+00	3.6500E−02	1.1131E+00	3.8378E−02	9.4404E−01
43	3.2368E−02	2.5533E+00	3.3724E−02	1.3408E+00	3.4898E−02	1.1250E+00	3.6689E−02	9.5414E−01
44	3.1025E−02	2.5807E+00	3.2281E−02	1.3547E+00	3.3400E−02	1.1366E+00	3.5111E−02	9.6398E−01
45	2.9765E−02	2.6075E+00	3.0930E−02	1.3683E+00	3.1999E−02	1.1480E+00	3.3634E−02	9.7361E−01
46	2.8581E−02	2.6337E+00	2.9664E−02	1.3816E+00	3.0684E−02	1.1591E+00	3.2250E−02	9.8301E−01
47	2.7468E−02	2.6594E+00	2.8475E−02	1.3946E+00	2.9451E−02	1.1700E+00	3.0951E−02	9.9221E−01
48	2.6421E−02	2.6845E+00	2.7357E−02	1.4074E+00	2.8291E−02	1.1806E+00	2.9730E−02	1.0012E+00
49	2.5433E−02	2.7092E+00	2.6304E−02	1.4199E+00	2.7199E−02	1.1911E+00	2.8580E−02	1.0100E+00
50	2.4501E−02	2.7334E+00	2.5312E−02	1.4321E+00	2.6171E−02	1.2013E+00	2.7497E−02	1.0187E+00
51	2.3620E−02	2.7571E+00	2.4375E−02	1.4441E+00	2.5200E−02	1.2113E+00	2.6475E−02	1.0272E+00
52	2.2787E−02	2.7805E+00	2.3491E−02	1.4559E+00	2.4282E−02	1.2211E+00	2.5510E−02	1.0355E+00
53	2.1998E−02	2.8034E+00	2.2653E−02	1.4674E+00	2.3415E−02	1.2308E+00	2.4597E−02	1.0436E+00
54	2.1250E−02	2.8259E+00	2.1861E−02	1.4788E+00	2.2593E−02	1.2403E+00	2.3732E−02	1.0516E+00
55	2.0541E−02	2.8481E+00	2.1109E−02	1.4899E+00	2.1815E−02	1.2496E+00	2.2912E−02	1.0595E+00
56	1.9867E−02	2.8698E+00	2.0396E−02	1.5009E+00	2.1076E−02	1.2587E+00	2.2135E−02	1.0673E+00
57	1.9227E−02	2.8913E+00	1.9719E−02	1.5117E+00	2.0374E−02	1.2678E+00	2.1397E−02	1.0749E+00
58	1.8617E−02	2.9124E+00	1.9076E−02	1.5223E+00	1.9707E−02	1.2766E+00	2.0695E−02	1.0824E+00
59	1.8038E−02	2.9332E+00	1.8463E−02	1.5328E+00	1.9073E−02	1.2853E+00	2.0028E−02	1.0898E+00
60	1.7485E−02	2.9537E+00	1.7880E−02	1.5430E+00	1.8469E−02	1.2939E+00	1.9393E−02	1.0970E+00

Cl; [Z=17]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	4.7069E+00	2.2194E−01	5.1598E+00	1.2301E−01	5.3666E+00	1.0397E−01	5.6495E+00	8.8780E−02
1	4.2877E+00	2.3926E−01	4.7120E+00	1.3241E−01	4.9046E+00	1.1184E−01	5.1712E+00	9.5354E−02
2	3.3531E+00	2.9056E−01	3.7081E+00	1.6015E−01	3.8640E+00	1.3516E−01	4.0819E+00	1.1505E−01
3	2.4173E+00	3.7298E−01	2.6954E+00	2.0440E−01	2.8115E+00	1.7238E−01	2.9718E+00	1.4669E−01
4	1.7110E+00	4.7986E−01	1.9222E+00	2.6133E−01	2.0068E+00	2.2022E−01	2.1230E+00	1.8727E−01
5	1.2362E+00	6.0057E−01	1.3953E+00	3.2524E−01	1.4575E+00	2.7389E−01	1.5423E+00	2.3284E−01
6	9.2764E−01	7.2310E−01	1.0483E+00	3.9001E−01	1.0952E+00	3.2826E−01	1.1591E+00	2.7895E−01
7	7.2468E−01	8.3821E−01	8.1807E−01	4.5087E−01	8.5463E−01	3.7935E−01	9.0437E−01	3.2233E−01
8	5.8626E−01	9.4156E−01	6.6076E−01	5.0550E−01	6.9014E−01	4.2523E−01	7.3026E−01	3.6123E−01
9	4.8753E−01	1.0330E+00	5.4885E−01	5.5374E−01	5.7320E−01	4.6570E−01	6.0644E−01	3.9558E−01
10	4.1394E−01	1.1146E+00	4.6582E−01	5.9658E−01	4.8643E−01	5.0167E−01	5.1462E−01	4.2608E−01
11	3.5679E−01	1.1890E+00	4.0153E−01	6.3545E−01	4.1929E−01	5.3427E−01	4.4359E−01	4.5371E−01
12	3.1166E−01	1.2581E+00	3.5082E−01	6.7145E−01	3.6636E−01	5.6442E−01	3.8759E−01	4.7927E−01
13	2.7490E−01	1.3237E+00	3.0947E−01	7.0556E−01	3.2318E−01	5.9299E−01	3.4191E−01	5.0349E−01
14	2.4430E−01	1.3870E+00	2.7494E−01	7.3840E−01	2.8711E−01	6.2051E−01	3.0374E−01	5.2680E−01
15	2.1853E−01	1.4486E+00	2.4576E−01	7.7036E−01	2.5661E−01	6.4729E−01	2.7146E−01	5.4949E−01
16	1.9661E−01	1.5088E+00	2.2082E−01	8.0164E−01	2.3054E−01	6.7350E−01	2.4385E−01	5.7170E−01
17	1.7779E−01	1.5679E+00	1.9933E−01	8.3235E−01	2.0806E−01	6.9923E−01	2.2004E−01	5.9350E−01
18	1.6151E−01	1.6258E+00	1.8067E−01	8.6250E−01	1.8853E−01	7.2450E−01	1.9936E−01	6.1492E−01
19	1.4734E−01	1.6827E+00	1.6439E−01	8.9210E−01	1.7149E−01	7.4931E−01	1.8130E−01	6.3595E−01
20	1.3494E−01	1.7383E+00	1.5011E−01	9.2112E−01	1.5654E−01	7.7364E−01	1.6545E−01	6.5657E−01
21	1.2403E−01	1.7927E+00	1.3753E−01	9.4953E−01	1.4337E−01	7.9746E−01	1.5149E−01	6.7676E−01
22	1.1438E−01	1.8458E+00	1.2640E−01	9.7728E−01	1.3172E−01	8.2073E−01	1.3914E−01	6.9649E−01
23	1.0582E−01	1.8976E+00	1.1653E−01	1.0044E+00	1.2138E−01	8.4344E−01	1.2819E−01	7.1575E−01
24	9.8189E−02	1.9481E+00	1.0774E−01	1.0307E+00	1.1217E−01	8.6556E−01	1.1843E−01	7.3451E−01
25	9.1356E−02	1.9971E+00	9.9880E−02	1.0564E+00	1.0395E−01	8.8709E−01	1.0971E−01	7.5276E−01
26	8.5216E−02	2.0448E+00	9.2835E−02	1.0813E+00	9.6575E−02	9.0801E−01	1.0190E−01	7.7050E−01
27	7.9680E−02	2.0911E+00	8.6500E−02	1.1056E+00	8.9947E−02	9.2833E−01	9.4880E−02	7.8773E−01
28	7.4671E−02	2.1361E+00	8.0785E−02	1.1291E+00	8.3970E−02	9.4804E−01	8.8551E−02	8.0444E−01
29	7.0124E−02	2.1797E+00	7.5615E−02	1.1519E+00	7.8565E−02	9.6716E−01	8.2829E−02	8.2066E−01
30	6.5984E−02	2.2221E+00	7.0925E−02	1.1740E+00	7.3664E−02	9.8570E−01	7.7641E−02	8.3638E−01
31	6.2204E−02	2.2633E+00	6.6658E−02	1.1954E+00	6.9207E−02	1.0037E+00	7.2926E−02	8.5162E−01
32	5.8742E−02	2.3033E+00	6.2766E−02	1.2162E+00	6.5144E−02	1.0211E+00	6.8628E−02	8.6640E−01
33	5.5565E−02	2.3421E+00	5.9207E−02	1.2364E+00	6.1430E−02	1.0380E+00	6.4700E−02	8.8073E−01
34	5.2642E−02	2.3799E+00	5.5944E−02	1.2560E+00	5.8027E−02	1.0544E+00	6.1103E−02	8.9463E−01
35	4.9945E−02	2.4166E+00	5.2946E−02	1.2750E+00	5.4902E−02	1.0703E+00	5.7801E−02	9.0811E−01
36	4.7453E−02	2.4523E+00	5.0186E−02	1.2934E+00	5.2025E−02	1.0858E+00	5.4762E−02	9.2120E−01
37	4.5146E−02	2.4871E+00	4.7638E−02	1.3113E+00	4.9371E−02	1.1008E+00	5.1959E−02	9.3392E−01
38	4.3004E−02	2.5210E+00	4.5282E−02	1.3288E+00	4.6918E−02	1.1154E+00	4.9369E−02	9.4628E−01
39	4.1013E−02	2.5540E+00	4.3099E−02	1.3457E+00	4.4646E−02	1.1296E+00	4.6971E−02	9.5830E−01
40	3.9159E−02	2.5862E+00	4.1072E−02	1.3622E+00	4.2537E−02	1.1434E+00	4.4746E−02	9.6999E−01
41	3.7430E−02	2.6176E+00	3.9187E−02	1.3783E+00	4.0577E−02	1.1568E+00	4.2677E−02	9.8138E−01
42	3.5814E−02	2.6483E+00	3.7431E−02	1.3940E+00	3.8751E−02	1.1700E+00	4.0752E−02	9.9248E−01
43	3.4302E−02	2.6783E+00	3.5792E−02	1.4093E+00	3.7047E−02	1.1827E+00	3.8955E−02	1.0033E+00
44	3.2886E−02	2.7076E+00	3.4260E−02	1.4242E+00	3.5455E−02	1.1952E+00	3.7277E−02	1.0138E+00
45	3.1557E−02	2.7362E+00	3.2826E−02	1.4387E+00	3.3966E−02	1.2074E+00	3.5707E−02	1.0242E+00
46	3.0308E−02	2.7642E+00	3.1481E−02	1.4530E+00	3.2569E−02	1.2193E+00	3.4235E−02	1.0342E+00
47	2.9134E−02	2.7917E+00	3.0218E−02	1.4669E+00	3.1258E−02	1.2309E+00	3.2854E−02	1.0441E+00
48	2.8027E−02	2.8186E+00	2.9031E−02	1.4805E+00	3.0026E−02	1.2423E+00	3.1556E−02	1.0537E+00
49	2.6984E−02	2.8450E+00	2.7914E−02	1.4939E+00	2.8867E−02	1.2535E+00	3.0334E−02	1.0631E+00
50	2.5999E−02	2.8708E+00	2.6860E−02	1.5069E+00	2.7774E−02	1.2644E+00	2.9183E−02	1.0724E+00
51	2.5068E−02	2.8962E+00	2.5866E−02	1.5197E+00	2.6742E−02	1.2751E+00	2.8097E−02	1.0814E+00
52	2.4187E−02	2.9211E+00	2.4927E−02	1.5323E+00	2.5768E−02	1.2856E+00	2.7071E−02	1.0903E+00
53	2.3353E−02	2.9456E+00	2.4039E−02	1.5446E+00	2.4847E−02	1.2959E+00	2.6102E−02	1.0990E+00
54	2.2562E−02	2.9696E+00	2.3198E−02	1.5568E+00	2.3975E−02	1.3060E+00	2.5184E−02	1.1076E+00
55	2.1812E−02	2.9933E+00	2.2401E−02	1.5687E+00	2.3149E−02	1.3159E+00	2.4314E−02	1.1160E+00
56	2.1099E−02	3.0165E+00	2.1644E−02	1.5803E+00	2.2365E−02	1.3257E+00	2.3489E−02	1.1242E+00
57	2.0422E−02	3.0394E+00	2.0926E−02	1.5918E+00	2.1621E−02	1.3353E+00	2.2705E−02	1.1323E+00
58	1.9777E−02	3.0619E+00	2.0243E−02	1.6031E+00	2.0913E−02	1.3447E+00	2.1961E−02	1.1403E+00
59	1.9164E−02	3.0840E+00	1.9593E−02	1.6142E+00	2.0240E−02	1.3540E+00	2.1252E−02	1.1481E+00
60	1.8579E−02	3.1059E+00	1.8975E−02	1.6251E+00	1.9599E−02	1.3631E+00	2.0578E−02	1.1558E+00

Ar; [Z=18]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	4.3973E+00	2.4333E−01	4.8477E+00	1.3577E−01	5.0459E+00	1.1486E−01	5.3150E+00	9.8141E−02
1	4.0647E+00	2.5913E−01	4.4918E+00	1.4437E−01	4.6788E+00	1.2206E−01	4.9352E+00	1.0416E−01
2	3.2894E+00	3.0611E−01	3.6573E+00	1.6988E−01	3.8140E+00	1.4350E−01	4.0312E+00	1.2223E−01
3	2.4585E+00	3.8233E−01	2.7563E+00	2.1099E−01	2.8772E+00	1.7811E−01	3.0431E+00	1.5165E−01
4	1.7868E+00	4.8330E−01	2.0198E+00	2.6497E−01	2.1106E+00	2.2348E−01	2.2340E+00	1.9017E−01
5	1.3088E+00	6.0117E−01	1.4882E+00	3.2755E−01	1.5561E+00	2.7606E−01	1.6479E+00	2.3480E−01
6	9.8520E−01	7.2591E−01	1.1228E+00	3.9359E−01	1.1744E+00	3.3150E−01	1.2438E+00	2.8188E−01
7	7.6737E−01	8.4801E−01	8.7381E−01	4.5824E−01	9.1391E−01	3.8581E−01	9.6800E−01	3.2791E−01
8	6.1755E−01	9.6119E−01	7.0153E−01	5.1825E−01	7.3356E−01	4.3619E−01	7.7672E−01	3.7073E−01
9	5.1086E−01	1.0631E+00	5.7893E−01	5.7223E−01	6.0516E−01	4.8154E−01	6.4071E−01	4.0917E−01
10	4.3187E−01	1.1540E+00	4.8858E−01	6.2030E−01	5.1062E−01	5.2188E−01	5.4053E−01	4.4341E−01
11	3.7106E−01	1.2361E+00	4.1940E−01	6.6343E−01	4.3828E−01	5.5806E−01	4.6390E−01	4.7411E−01
12	3.2346E−01	1.3112E+00	3.6552E−01	7.0271E−01	3.8196E−01	5.9101E−01	4.0427E−01	5.0203E−01
13	2.8499E−01	1.3813E+00	3.2206E−01	7.3920E−01	3.3653E−01	6.2160E−01	3.5619E−01	5.2796E−01
14	2.5315E−01	1.4478E+00	2.8607E−01	7.7376E−01	2.9892E−01	6.5055E−01	3.1638E−01	5.5248E−01
15	2.2648E−01	1.5118E+00	2.5584E−01	8.0694E−01	2.6733E−01	6.7834E−01	2.8294E−01	5.7604E−01
16	2.0386E−01	1.5739E+00	2.3012E−01	8.3913E−01	2.4043E−01	7.0531E−01	2.5445E−01	5.9889E−01
17	1.8448E−01	1.6345E+00	2.0799E−01	8.7058E−01	2.1727E−01	7.3165E−01	2.2992E−01	6.2120E−01
18	1.6773E−01	1.6939E+00	1.8879E−01	9.0139E−01	1.9718E−01	7.5747E−01	2.0862E−01	6.4308E−01
19	1.5317E−01	1.7521E+00	1.7202E−01	9.3163E−01	1.7962E−01	7.8281E−01	1.9001E−01	6.6455E−01
20	1.4042E−01	1.8091E+00	1.5729E−01	9.6132E−01	1.6419E−01	8.0769E−01	1.7366E−01	6.8564E−01
21	1.2919E−01	1.8650E+00	1.4430E−01	9.9044E−01	1.5058E−01	8.3210E−01	1.5922E−01	7.0633E−01
22	1.1926E−01	1.9197E+00	1.3279E−01	1.0190E+00	1.3851E−01	8.5603E−01	1.4642E−01	7.2661E−01
23	1.1044E−01	1.9732E+00	1.2254E−01	1.0469E+00	1.2778E−01	8.7945E−01	1.3504E−01	7.4647E−01
24	1.0256E−01	2.0254E+00	1.1341E−01	1.0742E+00	1.1820E−01	9.0234E−01	1.2488E−01	7.6588E−01
25	9.5506E−02	2.0764E+00	1.0522E−01	1.1008E+00	1.0962E−01	9.2469E−01	1.1578E−01	7.8483E−01
26	8.9160E−02	2.1260E+00	9.7868E−02	1.1268E+00	1.0192E−01	9.4649E−01	1.0761E−01	8.0331E−01
27	8.3432E−02	2.1744E+00	9.1245E−02	1.1522E+00	9.4977E−02	9.6772E−01	1.0026E−01	8.2132E−01
28	7.8244E−02	2.2215E+00	8.5260E−02	1.1768E+00	8.8709E−02	9.8839E−01	9.3612E−02	8.3885E−01
29	7.3530E−02	2.2674E+00	7.9839E−02	1.2007E+00	8.3033E−02	1.0085E+00	8.7596E−02	8.5589E−01
30	6.9235E−02	2.3120E+00	7.4913E−02	1.2241E+00	7.7878E−02	1.0280E+00	8.2134E−02	8.7246E−01
31	6.5309E−02	2.3554E+00	7.0428E−02	1.2467E+00	7.3185E−02	1.0470E+00	7.7164E−02	8.8856E−01
32	6.1712E−02	2.3976E+00	6.6332E−02	1.2687E+00	6.8903E−02	1.0655E+00	7.2629E−02	9.0421E−01
33	5.8407E−02	2.4387E+00	6.2583E−02	1.2901E+00	6.4985E−02	1.0834E+00	6.8481E−02	9.1941E−01
34	5.5364E−02	2.4787E+00	5.9145E−02	1.3109E+00	6.1392E−02	1.1008E+00	6.4679E−02	9.3417E−01
35	5.2555E−02	2.5176E+00	5.5983E−02	1.3311E+00	5.8090E−02	1.1178E+00	6.1186E−02	9.4852E−01
36	4.9956E−02	2.5555E+00	5.3070E−02	1.3507E+00	5.5050E−02	1.1342E+00	5.7971E−02	9.6246E−01
37	4.7548E−02	2.5925E+00	5.0380E−02	1.3698E+00	5.2244E−02	1.1502E+00	5.5004E−02	9.7602E−01
38	4.5312E−02	2.6285E+00	4.7891E−02	1.3884E+00	4.9649E−02	1.1658E+00	5.2262E−02	9.8920E−01
39	4.3231E−02	2.6636E+00	4.5585E−02	1.4064E+00	4.7244E−02	1.1809E+00	4.9721E−02	1.0020E+00
40	4.1293E−02	2.6979E+00	4.3442E−02	1.4240E+00	4.5013E−02	1.1956E+00	4.7364E−02	1.0145E+00
41	3.9483E−02	2.7313E+00	4.1450E−02	1.4412E+00	4.2937E−02	1.2100E+00	4.5173E−02	1.0267E+00
42	3.7791E−02	2.7640E+00	3.9593E−02	1.4579E+00	4.1004E−02	1.2240E+00	4.3132E−02	1.0385E+00
43	3.6207E−02	2.7959E+00	3.7859E−02	1.4742E+00	3.9200E−02	1.2377E+00	4.1229E−02	1.0501E+00
44	3.4722E−02	2.8272E+00	3.6239E−02	1.4902E+00	3.7515E−02	1.2510E+00	3.9450E−02	1.0614E+00
45	3.3328E−02	2.8577E+00	3.4722E−02	1.5057E+00	3.5937E−02	1.2640E+00	3.7786E−02	1.0724E+00
46	3.2017E−02	2.8876E+00	3.3299E−02	1.5209E+00	3.4459E−02	1.2767E+00	3.6227E−02	1.0831E+00
47	3.0784E−02	2.9169E+00	3.1964E−02	1.5358E+00	3.3071E−02	1.2891E+00	3.4763E−02	1.0936E+00
48	2.9621E−02	2.9455E+00	3.0708E−02	1.5503E+00	3.1766E−02	1.3012E+00	3.3388E−02	1.1039E+00
49	2.8524E−02	2.9736E+00	2.9526E−02	1.5645E+00	3.0538E−02	1.3131E+00	3.2094E−02	1.1140E+00
50	2.7489E−02	3.0012E+00	2.8411E−02	1.5785E+00	2.9382E−02	1.3248E+00	3.0875E−02	1.1238E+00
51	2.6510E−02	3.0282E+00	2.7360E−02	1.5921E+00	2.8290E−02	1.3362E+00	2.9725E−02	1.1335E+00
52	2.5583E−02	3.0547E+00	2.6367E−02	1.6055E+00	2.7259E−02	1.3474E+00	2.8639E−02	1.1429E+00
53	2.4705E−02	3.0808E+00	2.5427E−02	1.6186E+00	2.6284E−02	1.3583E+00	2.7612E−02	1.1522E+00
54	2.3872E−02	3.1064E+00	2.4537E−02	1.6315E+00	2.5361E−02	1.3691E+00	2.6640E−02	1.1613E+00
55	2.3082E−02	3.1316E+00	2.3694E−02	1.6442E+00	2.4487E−02	1.3796E+00	2.5720E−02	1.1702E+00
56	2.2331E−02	3.1563E+00	2.2894E−02	1.6566E+00	2.3657E−02	1.3900E+00	2.4846E−02	1.1790E+00
57	2.1618E−02	3.1806E+00	2.2135E−02	1.6688E+00	2.2870E−02	1.4002E+00	2.4017E−02	1.1876E+00
58	2.0939E−02	3.2046E+00	2.1413E−02	1.6808E+00	2.2121E−02	1.4102E+00	2.3229E−02	1.1960E+00
59	2.0292E−02	3.2281E+00	2.0726E−02	1.6926E+00	2.1409E−02	1.4201E+00	2.2480E−02	1.2044E+00
60	1.9675E−02	3.2513E+00	2.0072E−02	1.7042E+00	2.0731E−02	1.4297E+00	2.1767E−02	1.2125E+00

K; [Z=19]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	8.7237E+00	1.6059E−01	9.5161E+00	9.0866E−02	9.8965E+00	7.6992E−02	1.0427E+01	6.5797E−02
1	6.0203E+00	2.2522E−01	6.6280E+00	1.2640E−01	6.9024E+00	1.0697E−01	7.2836E+00	9.1288E−02
2	3.5970E+00	3.4923E−01	4.0137E+00	1.9370E−01	4.1878E+00	1.6365E−01	4.4276E+00	1.3942E−01
3	2.5066E+00	4.5491E−01	2.8249E+00	2.5068E−01	2.9511E+00	2.1160E−01	3.1230E+00	1.8017E−01
4	1.8328E+00	5.5955E−01	2.0834E+00	3.0678E−01	2.1789E+00	2.5879E−01	2.3076E+00	2.2025E−01
5	1.3635E+00	6.7457E−01	1.5603E+00	3.6805E−01	1.6331E+00	3.1028E−01	1.7305E+00	2.6397E−01
6	1.0361E+00	7.9761E−01	1.1898E+00	4.3333E−01	1.2458E+00	3.6511E−01	1.3205E+00	3.1051E−01
7	8.0891E−01	9.2197E−01	9.2903E−01	4.9927E−01	9.7286E−01	4.2049E−01	1.0312E+00	3.5752E−01
8	6.4976E−01	1.0412E+00	7.4457E−01	5.6262E−01	7.7950E−01	4.7371E−01	8.2613E−01	4.0268E−01
9	5.3560E−01	1.1516E+00	6.1180E−01	6.2129E−01	6.4027E−01	5.2299E−01	6.7839E−01	4.4452E−01
10	4.5112E−01	1.2518E+00	5.1374E−01	6.7455E−01	5.3745E−01	5.6774E−01	5.6931E−01	4.8250E−01
11	3.8644E−01	1.3421E+00	4.3916E−01	7.2231E−01	4.5931E−01	6.0784E−01	4.8644E−01	5.1654E−01
12	3.3605E−01	1.4245E+00	3.8140E−01	7.6572E−01	3.9883E−01	6.4427E−01	4.2234E−01	5.4744E−01
13	2.9559E−01	1.5004E+00	3.3528E−01	8.0543E−01	3.5057E−01	6.7758E−01	3.7122E−01	5.7568E−01
14	2.6230E−01	1.5713E+00	2.9746E−01	8.4239E−01	3.1102E−01	7.0855E−01	3.2933E−01	6.0192E−01
15	2.3454E−01	1.6387E+00	2.6593E−01	8.7735E−01	2.7805E−01	7.3784E−01	2.9441E−01	6.2674E−01
16	2.1108E−01	1.7034E+00	2.3924E−01	9.1087E−01	2.5013E−01	7.6592E−01	2.6484E−01	6.5053E−01
17	1.9104E−01	1.7660E+00	2.1637E−01	9.4332E−01	2.2620E−01	7.9309E−01	2.3949E−01	6.7355E−01
18	1.7377E−01	1.8271E+00	1.9658E−01	9.7493E−01	2.0548E−01	8.1958E−01	2.1753E−01	6.9599E−01
19	1.5876E−01	1.8868E+00	1.7931E−01	1.0059E+00	1.8739E−01	8.4549E−01	1.9835E−01	7.1794E−01
20	1.4563E−01	1.9452E+00	1.6415E−01	1.0362E+00	1.7150E−01	8.7090E−01	1.8150E−01	7.3947E−01
21	1.3408E−01	2.0025E+00	1.5076E−01	1.0660E+00	1.5747E−01	8.9585E−01	1.6662E−01	7.6062E−01
22	1.2387E−01	2.0586E+00	1.3888E−01	1.0952E+00	1.4501E−01	9.2034E−01	1.5340E−01	7.8137E−01
23	1.1479E−01	2.1136E+00	1.2830E−01	1.1238E+00	1.3392E−01	9.4437E−01	1.4163E−01	8.0174E−01
24	1.0668E−01	2.1674E+00	1.1884E−01	1.1519E+00	1.2400E−01	9.6791E−01	1.3110E−01	8.2170E−01
25	9.9416E−02	2.2200E+00	1.1036E−01	1.1794E+00	1.1510E−01	9.9096E−01	1.2166E−01	8.4125E−01
26	9.2877E−02	2.2714E+00	1.0273E−01	1.2063E+00	1.0709E−01	1.0135E+00	1.1316E−01	8.6036E−01
27	8.6971E−02	2.3216E+00	9.5839E−02	1.2326E+00	9.9866E−02	1.0355E+00	1.0549E−01	8.7904E−01
28	8.1619E−02	2.3706E+00	8.9606E−02	1.2582E+00	9.3329E−02	1.0570E+00	9.8559E−02	8.9727E−01
29	7.6754E−02	2.4184E+00	8.3951E−02	1.2832E+00	8.7400E−02	1.0780E+00	9.2270E−02	9.1506E−01
30	7.2317E−02	2.4650E+00	7.8807E−02	1.3076E+00	8.2009E−02	1.0984E+00	8.6551E−02	9.3239E−01
31	6.8259E−02	2.5104E+00	7.4117E−02	1.3313E+00	7.7094E−02	1.1184E+00	8.1340E−02	9.4928E−01
32	6.4538E−02	2.5547E+00	6.9830E−02	1.3544E+00	7.2604E−02	1.1377E+00	7.6580E−02	9.6572E−01
33	6.1117E−02	2.5979E+00	6.5902E−02	1.3769E+00	6.8492E−02	1.1566E+00	7.2223E−02	9.8172E−01
34	5.7965E−02	2.6399E+00	6.2296E−02	1.3988E+00	6.4719E−02	1.1750E+00	6.8225E−02	9.9730E−01
35	5.5053E−02	2.6810E+00	5.8978E−02	1.4202E+00	6.1248E−02	1.1929E+00	6.4549E−02	1.0125E+00
36	5.2359E−02	2.7210E+00	5.5918E−02	1.4409E+00	5.8049E−02	1.2103E+00	6.1162E−02	1.0272E+00
37	4.9859E−02	2.7600E+00	5.3092E−02	1.4611E+00	5.5096E−02	1.2272E+00	5.8036E−02	1.0416E+00
38	4.7536E−02	2.7980E+00	5.0475E−02	1.4808E+00	5.2363E−02	1.2437E+00	5.5145E−02	1.0556E+00
39	4.5374E−02	2.8352E+00	4.8049E−02	1.5000E+00	4.9830E−02	1.2598E+00	5.2466E−02	1.0692E+00
40	4.3357E−02	2.8714E+00	4.5795E−02	1.5187E+00	4.7478E−02	1.2754E+00	4.9979E−02	1.0824E+00
41	4.1474E−02	2.9069E+00	4.3697E−02	1.5369E+00	4.5290E−02	1.2907E+00	4.7666E−02	1.0954E+00
42	3.9712E−02	2.9415E+00	4.1742E−02	1.5547E+00	4.3252E−02	1.3056E+00	4.5512E−02	1.1080E+00
43	3.8061E−02	2.9753E+00	3.9916E−02	1.5720E+00	4.1350E−02	1.3201E+00	4.3503E−02	1.1202E+00
44	3.6513E−02	3.0085E+00	3.8209E−02	1.5889E+00	3.9572E−02	1.3343E+00	4.1625E−02	1.1322E+00
45	3.5058E−02	3.0408E+00	3.6611E−02	1.6055E+00	3.7907E−02	1.3481E+00	3.9868E−02	1.1439E+00
46	3.3689E−02	3.0726E+00	3.5112E−02	1.6216E+00	3.6347E−02	1.3616E+00	3.8222E−02	1.1554E+00
47	3.2401E−02	3.1036E+00	3.3704E−02	1.6374E+00	3.4883E−02	1.3748E+00	3.6676E−02	1.1666E+00
48	3.1186E−02	3.1340E+00	3.2380E−02	1.6529E+00	3.3506E−02	1.3877E+00	3.5224E−02	1.1775E+00
49	3.0039E−02	3.1639E+00	3.1134E−02	1.6680E+00	3.2211E−02	1.4003E+00	3.3858E−02	1.1882E+00
50	2.8955E−02	3.1931E+00	2.9960E−02	1.6828E+00	3.0990E−02	1.4127E+00	3.2571E−02	1.1987E+00
51	2.7930E−02	3.2218E+00	2.8851E−02	1.6973E+00	2.9838E−02	1.4248E+00	3.1356E−02	1.2089E+00
52	2.6959E−02	3.2500E+00	2.7804E−02	1.7115E+00	2.8751E−02	1.4367E+00	3.0210E−02	1.2189E+00
53	2.6040E−02	3.2776E+00	2.6813E−02	1.7254E+00	2.7722E−02	1.4483E+00	2.9126E−02	1.2288E+00
54	2.5167E−02	3.3048E+00	2.5876E−02	1.7391E+00	2.6748E−02	1.4598E+00	2.8100E−02	1.2384E+00
55	2.4339E−02	3.3315E+00	2.4987E−02	1.7525E+00	2.5826E−02	1.4710E+00	2.7128E−02	1.2479E+00
56	2.3551E−02	3.3577E+00	2.4144E−02	1.7657E+00	2.4951E−02	1.4820E+00	2.6206E−02	1.2572E+00
57	2.2803E−02	3.3835E+00	2.3343E−02	1.7786E+00	2.4120E−02	1.4928E+00	2.5332E−02	1.2663E+00
58	2.2090E−02	3.4089E+00	2.2582E−02	1.7914E+00	2.3330E−02	1.5034E+00	2.4500E−02	1.2753E+00
59	2.1411E−02	3.4339E+00	2.1858E−02	1.8039E+00	2.2580E−02	1.5138E+00	2.3709E−02	1.2841E+00
60	2.0763E−02	3.4585E+00	2.1168E−02	1.8161E+00	2.1865E−02	1.5240E+00	2.2957E−02	1.2928E+00

Ca; [Z=20]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	9.6204E+00	1.7308E−01	1.0517E+01	9.8165E−02	1.0941E+01	8.3216E−02	1.1532E+01	7.1133E−02
1	7.0378E+00	2.2767E−01	7.7570E+00	1.2836E−01	8.0803E+00	1.0870E−01	8.5292E+00	9.2808E−02
2	4.0325E+00	3.6260E−01	4.5139E+00	2.0193E−01	4.7122E+00	1.7071E−01	4.9839E+00	1.4551E−01
3	2.6145E+00	5.0011E−01	2.9605E+00	2.7615E−01	3.0951E+00	2.3319E−01	3.2771E+00	1.9861E−01
4	1.8783E+00	6.1900E−01	2.1461E+00	3.4001E−01	2.2462E+00	2.8692E−01	2.3802E+00	2.4426E−01
5	1.4068E+00	7.3535E−01	1.6192E+00	4.0218E−01	1.6963E+00	3.3919E−01	1.7987E+00	2.8865E−01
6	1.0791E+00	8.5643E−01	1.2478E+00	4.6659E−01	1.3080E+00	3.9331E−01	1.3874E+00	3.3460E−01
7	8.4690E−01	9.8059E−01	9.8064E−01	5.3253E−01	1.0281E+00	4.4871E−01	1.0907E+00	3.8162E−01
8	6.8091E−01	1.1031E+00	7.8721E−01	5.9768E−01	8.2520E−01	5.0344E−01	8.7535E−01	4.2808E−01
9	5.6044E−01	1.2196E+00	6.4574E−01	6.5975E−01	6.7664E−01	5.5560E−01	7.1756E−01	4.7238E−01
10	4.7093E−01	1.3274E+00	5.4049E−01	7.1731E−01	5.6609E−01	6.0398E−01	6.0013E−01	5.1345E−01
11	4.0241E−01	1.4258E+00	4.6030E−01	7.6970E−01	4.8189E−01	6.4800E−01	5.1073E−01	5.5083E−01
12	3.4924E−01	1.5157E+00	3.9845E−01	8.1739E−01	4.1701E−01	6.8805E−01	4.4186E−01	5.8483E−01
13	3.0669E−01	1.5982E+00	3.4934E−01	8.6084E−01	3.6554E−01	7.2453E−01	3.8727E−01	6.1577E−01
14	2.7182E−01	1.6745E+00	3.0936E−01	9.0086E−01	3.2367E−01	7.5809E−01	3.4288E−01	6.4423E−01
15	2.4285E−01	1.7462E+00	2.7626E−01	9.3822E−01	2.8902E−01	7.8940E−01	3.0616E−01	6.7076E−01
16	2.1844E−01	1.8144E+00	2.4842E−01	9.7357E−01	2.5988E−01	8.1902E−01	2.7528E−01	6.9586E−01
17	1.9765E−01	1.8798E+00	2.2467E−01	1.0074E+00	2.3503E−01	8.4736E−01	2.4894E−01	7.1987E−01
18	1.7977E−01	1.9430E+00	2.0419E−01	1.0401E+00	2.1359E−01	8.7475E−01	2.2622E−01	7.4306E−01
19	1.6426E−01	2.0045E+00	1.8638E−01	1.0719E+00	1.9492E−01	9.0139E−01	2.0643E−01	7.6563E−01
20	1.5072E−01	2.0645E+00	1.7075E−01	1.1030E+00	1.7855E−01	9.2742E−01	1.8907E−01	7.8768E−01
21	1.3881E−01	2.1233E+00	1.5696E−01	1.1335E+00	1.6409E−01	9.5292E−01	1.7373E−01	8.0929E−01
22	1.2830E−01	2.1808E+00	1.4472E−01	1.1633E+00	1.5126E−01	9.7795E−01	1.6011E−01	8.3050E−01
23	1.1895E−01	2.2372E+00	1.3382E−01	1.1926E+00	1.3982E−01	1.0025E+00	1.4797E−01	8.5132E−01
24	1.1061E−01	2.2925E+00	1.2406E−01	1.2214E+00	1.2958E−01	1.0266E+00	1.3710E−01	8.7176E−01
25	1.0314E−01	2.3466E+00	1.1530E−01	1.2496E+00	1.2038E−01	1.0503E+00	1.2733E−01	8.9182E−01
26	9.6410E−02	2.3996E+00	1.0741E−01	1.2773E+00	1.1209E−01	1.0735E+00	1.1853E−01	9.1148E−01
27	9.0334E−02	2.4514E+00	1.0028E−01	1.3044E+00	1.0460E−01	1.0962E+00	1.1058E−01	9.3074E−01
28	8.4827E−02	2.5021E+00	9.3815E−02	1.3309E+00	9.7819E−02	1.1184E+00	1.0338E−01	9.4959E−01
29	7.9818E−02	2.5517E+00	8.7945E−02	1.3568E+00	9.1656E−02	1.1402E+00	9.6834E−02	9.6802E−01
30	7.5249E−02	2.6001E+00	8.2598E−02	1.3821E+00	8.6045E−02	1.1614E+00	9.0877E−02	9.8603E−01
31	7.1069E−02	2.6474E+00	7.7717E−02	1.4068E+00	8.0923E−02	1.1821E+00	8.5441E−02	1.0036E+00
32	6.7234E−02	2.6936E+00	7.3250E−02	1.4309E+00	7.6238E−02	1.2024E+00	8.0469E−02	1.0208E+00
33	6.3707E−02	2.7386E+00	6.9154E−02	1.4545E+00	7.1943E−02	1.2221E+00	7.5912E−02	1.0375E+00
34	6.0455E−02	2.7826E+00	6.5390E−02	1.4774E+00	6.7997E−02	1.2414E+00	7.1728E−02	1.0539E+00
35	5.7450E−02	2.8256E+00	6.1923E−02	1.4998E+00	6.4366E−02	1.2601E+00	6.7877E−02	1.0698E+00
36	5.4666E−02	2.8676E+00	5.8725E−02	1.5216E+00	6.1016E−02	1.2785E+00	6.4327E−02	1.0853E+00
37	5.2083E−02	2.9085E+00	5.5768E−02	1.5429E+00	5.7921E−02	1.2963E+00	6.1047E−02	1.1004E+00
38	4.9682E−02	2.9485E+00	5.3029E−02	1.5637E+00	5.5055E−02	1.3137E+00	5.8011E−02	1.1152E+00
39	4.7444E−02	2.9876E+00	5.0487E−02	1.5839E+00	5.2398E−02	1.3306E+00	5.5198E−02	1.1295E+00
40	4.5357E−02	3.0258E+00	4.8125E−02	1.6036E+00	4.9929E−02	1.3472E+00	5.2584E−02	1.1435E+00
41	4.3405E−02	3.0632E+00	4.5926E−02	1.6229E+00	4.7632E−02	1.3633E+00	5.0153E−02	1.1572E+00
42	4.1579E−02	3.0997E+00	4.3875E−02	1.6417E+00	4.5491E−02	1.3791E+00	4.7888E−02	1.1705E+00
43	3.9867E−02	3.1354E+00	4.1960E−02	1.6600E+00	4.3492E−02	1.3944E+00	4.5775E−02	1.1836E+00
44	3.8260E−02	3.1703E+00	4.0169E−02	1.6779E+00	4.1623E−02	1.4094E+00	4.3799E−02	1.1963E+00
45	3.6749E−02	3.2046E+00	3.8491E−02	1.6954E+00	3.9874E−02	1.4241E+00	4.1950E−02	1.2087E+00
46	3.5327E−02	3.2381E+00	3.6917E−02	1.7125E+00	3.8233E−02	1.4384E+00	4.0217E−02	1.2208E+00
47	3.3987E−02	3.2709E+00	3.5439E−02	1.7293E+00	3.6693E−02	1.4524E+00	3.8591E−02	1.2326E+00
48	3.2723E−02	3.3031E+00	3.4048E−02	1.7456E+00	3.5246E−02	1.4661E+00	3.7062E−02	1.2442E+00
49	3.1529E−02	3.3346E+00	3.2739E−02	1.7616E+00	3.3883E−02	1.4794E+00	3.5624E−02	1.2556E+00
50	3.0400E−02	3.3656E+00	3.1505E−02	1.7773E+00	3.2599E−02	1.4926E+00	3.4269E−02	1.2666E+00
51	2.9332E−02	3.3959E+00	3.0341E−02	1.7927E+00	3.1388E−02	1.5054E+00	3.2991E−02	1.2775E+00
52	2.8320E−02	3.4257E+00	2.9240E−02	1.8077E+00	3.0243E−02	1.5180E+00	3.1784E−02	1.2881E+00
53	2.7361E−02	3.4550E+00	2.8199E−02	1.8225E+00	2.9161E−02	1.5303E+00	3.0643E−02	1.2986E+00
54	2.6451E−02	3.4837E+00	2.7213E−02	1.8370E+00	2.8137E−02	1.5424E+00	2.9563E−02	1.3088E+00
55	2.5586E−02	3.5120E+00	2.6279E−02	1.8512E+00	2.7166E−02	1.5542E+00	2.8540E−02	1.3188E+00
56	2.4763E−02	3.5397E+00	2.5393E−02	1.8651E+00	2.6246E−02	1.5659E+00	2.7570E−02	1.3287E+00
57	2.3981E−02	3.5670E+00	2.4551E−02	1.8788E+00	2.5372E−02	1.5773E+00	2.6649E−02	1.3383E+00
58	2.3236E−02	3.5938E+00	2.3751E−02	1.8922E+00	2.4541E−02	1.5885E+00	2.5774E−02	1.3478E+00
59	2.2526E−02	3.6203E+00	2.2990E−02	1.9055E+00	2.3752E−02	1.5996E+00	2.4942E−02	1.3572E+00
60	2.1849E−02	3.6463E+00	2.2265E−02	1.9185E+00	2.3000E−02	1.6104E+00	2.4150E−02	1.3663E+00

Sc; [Z=21]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	8.9757E+00	1.8778E−01	9.8570E+00	1.0735E−01	1.0261E+01	9.1119E−02	1.0820E+01	7.7965E−02
1	6.8266E+00	2.3883E−01	7.5574E+00	1.3573E−01	7.8775E+00	1.1508E−01	8.3189E+00	9.8340E−02
2	4.0920E+00	3.6725E−01	4.6023E+00	2.0609E−01	4.8079E+00	1.7442E−01	5.0878E+00	1.4879E−01
3	2.6762E+00	5.0666E−01	3.0475E+00	2.8159E−01	3.1889E+00	2.3802E−01	3.3785E+00	2.0286E−01
4	1.9252E+00	6.3055E−01	2.2134E+00	3.4834E−01	2.3189E+00	2.9419E−01	2.4589E+00	2.5060E−01
5	1.4489E+00	7.4933E−01	1.6789E+00	4.1199E−01	1.7607E+00	3.4773E−01	1.8683E+00	2.9609E−01
6	1.1179E+00	8.7097E−01	1.3025E+00	4.7687E−01	1.3669E+00	4.0227E−01	1.4511E+00	3.4240E−01
7	8.8117E−01	9.9590E−01	1.0290E+00	5.4336E−01	1.0802E+00	4.5814E−01	1.1470E+00	3.8983E−01
8	7.0984E−01	1.1208E+00	8.2826E−01	6.0988E−01	8.6941E−01	5.1404E−01	9.2312E−01	4.3729E−01
9	5.8427E−01	1.2418E+00	6.7955E−01	6.7445E−01	7.1306E−01	5.6831E−01	7.5692E−01	4.8338E−01
10	4.9047E−01	1.3558E+00	5.6796E−01	7.3544E−01	5.9566E−01	6.1958E−01	6.3208E−01	5.2692E−01
11	4.1856E−01	1.4611E+00	4.8258E−01	7.9180E−01	5.0584E−01	6.6697E−01	5.3657E−01	5.6717E−01
12	3.6276E−01	1.5581E+00	4.1665E−01	8.4357E−01	4.3652E−01	7.1049E−01	4.6288E−01	6.0413E−01
13	3.1817E−01	1.6472E+00	3.6442E−01	8.9089E−01	3.8166E−01	7.5024E−01	4.0460E−01	6.3787E−01
14	2.8172E−01	1.7295E+00	3.2207E−01	9.3432E−01	3.3723E−01	7.8670E−01	3.5744E−01	6.6881E−01
15	2.5150E−01	1.8063E+00	2.8719E−01	9.7457E−01	3.0066E−01	8.2046E−01	3.1865E−01	6.9743E−01
16	2.2608E−01	1.8787E+00	2.5799E−01	1.0123E+00	2.7007E−01	8.5208E−01	2.8621E−01	7.2423E−01
17	2.0447E−01	1.9476E+00	2.3321E−01	1.0481E+00	2.4411E−01	8.8203E−01	2.5868E−01	7.4961E−01
18	1.8592E−01	2.0137E+00	2.1192E−01	1.0823E+00	2.2181E−01	9.1070E−01	2.3504E−01	7.7389E−01
19	1.6986E−01	2.0777E+00	1.9345E−01	1.1153E+00	2.0246E−01	9.3837E−01	2.1452E−01	7.9733E−01
20	1.5585E−01	2.1398E+00	1.7730E−01	1.1474E+00	1.8553E−01	9.6525E−01	1.9656E−01	8.2009E−01
21	1.4355E−01	2.2004E+00	1.6306E−01	1.1788E+00	1.7060E−01	9.9149E−01	1.8072E−01	8.4232E−01
22	1.3269E−01	2.2597E+00	1.5044E−01	1.2094E+00	1.5736E−01	1.0172E+00	1.6668E−01	8.6407E−01
23	1.2306E−01	2.3177E+00	1.3920E−01	1.2395E+00	1.4557E−01	1.0423E+00	1.5415E−01	8.8540E−01
24	1.1447E−01	2.3745E+00	1.2914E−01	1.2689E+00	1.3500E−01	1.0670E+00	1.4293E−01	9.0633E−01
25	1.0677E−01	2.4301E+00	1.2010E−01	1.2979E+00	1.2551E−01	1.0913E+00	1.3285E−01	9.2689E−01
26	9.9847E−02	2.4846E+00	1.1196E−01	1.3263E+00	1.1695E−01	1.1151E+00	1.2376E−01	9.4706E−01
27	9.3595E−02	2.5381E+00	1.0459E−01	1.3541E+00	1.0921E−01	1.1384E+00	1.1554E−01	9.6686E−01
28	8.7930E−02	2.5904E+00	9.7907E−02	1.3814E+00	1.0219E−01	1.1613E+00	1.0808E−01	9.8626E−01
29	8.2779E−02	2.6416E+00	9.1831E−02	1.4082E+00	9.5807E−02	1.1838E+00	1.0129E−01	1.0053E+00
30	7.8080E−02	2.6917E+00	8.6293E−02	1.4343E+00	8.9987E−02	1.2057E+00	9.5109E−02	1.0239E+00
31	7.3780E−02	2.7407E+00	8.1231E−02	1.4599E+00	8.4669E−02	1.2272E+00	8.9460E−02	1.0421E+00
32	6.9836E−02	2.7886E+00	7.6595E−02	1.4850E+00	7.9800E−02	1.2482E+00	8.4289E−02	1.0599E+00
33	6.6206E−02	2.8355E+00	7.2340E−02	1.5095E+00	7.5332E−02	1.2687E+00	7.9543E−02	1.0774E+00
34	6.2859E−02	2.8813E+00	6.8426E−02	1.5334E+00	7.1223E−02	1.2888E+00	7.5181E−02	1.0944E+00
35	5.9766E−02	2.9261E+00	6.4818E−02	1.5567E+00	6.7438E−02	1.3084E+00	7.1164E−02	1.1110E+00
36	5.6899E−02	2.9699E+00	6.1487E−02	1.5796E+00	6.3944E−02	1.3275E+00	6.7456E−02	1.1272E+00
37	5.4238E−02	3.0127E+00	5.8406E−02	1.6018E+00	6.0714E−02	1.3462E+00	6.4029E−02	1.1430E+00
38	5.1762E−02	3.0546E+00	5.5549E−02	1.6236E+00	5.7720E−02	1.3644E+00	6.0855E−02	1.1585E+00
39	4.9455E−02	3.0955E+00	5.2898E−02	1.6448E+00	5.4943E−02	1.3822E+00	5.7911E−02	1.1736E+00
40	4.7302E−02	3.1356E+00	5.0432E−02	1.6655E+00	5.2362E−02	1.3996E+00	5.5175E−02	1.1883E+00
41	4.5287E−02	3.1748E+00	4.8135E−02	1.6858E+00	4.9958E−02	1.4166E+00	5.2629E−02	1.2027E+00
42	4.3401E−02	3.2131E+00	4.5992E−02	1.7055E+00	4.7717E−02	1.4332E+00	5.0256E−02	1.2168E+00
43	4.1632E−02	3.2506E+00	4.3990E−02	1.7249E+00	4.5624E−02	1.4493E+00	4.8040E−02	1.2305E+00
44	3.9970E−02	3.2874E+00	4.2116E−02	1.7437E+00	4.3667E−02	1.4652E+00	4.5969E−02	1.2439E+00
45	3.8407E−02	3.3234E+00	4.0361E−02	1.7622E+00	4.1834E−02	1.4806E+00	4.4030E−02	1.2570E+00
46	3.6935E−02	3.3587E+00	3.8714E−02	1.7802E+00	4.0115E−02	1.4957E+00	4.2212E−02	1.2697E+00
47	3.5547E−02	3.3932E+00	3.7167E−02	1.7979E+00	3.8501E−02	1.5105E+00	4.0505E−02	1.2823E+00
48	3.4237E−02	3.4271E+00	3.5711E−02	1.8152E+00	3.6983E−02	1.5249E+00	3.8901E−02	1.2945E+00
49	3.3000E−02	3.4604E+00	3.4340E−02	1.8321E+00	3.5554E−02	1.5391E+00	3.7392E−02	1.3065E+00
50	3.1829E−02	3.4930E+00	3.3048E−02	1.8486E+00	3.4208E−02	1.5529E+00	3.5969E−02	1.3182E+00
51	3.0720E−02	3.5250E+00	3.1828E−02	1.8648E+00	3.2937E−02	1.5665E+00	3.4628E−02	1.3297E+00
52	2.9669E−02	3.5564E+00	3.0675E−02	1.8807E+00	3.1737E−02	1.5798E+00	3.3361E−02	1.3409E+00
53	2.8672E−02	3.5873E+00	2.9584E−02	1.8963E+00	3.0602E−02	1.5928E+00	3.2163E−02	1.3519E+00
54	2.7726E−02	3.6176E+00	2.8551E−02	1.9116E+00	2.9527E−02	1.6056E+00	3.1029E−02	1.3627E+00
55	2.6826E−02	3.6474E+00	2.7572E−02	1.9266E+00	2.8509E−02	1.6181E+00	2.9955E−02	1.3733E+00
56	2.5971E−02	3.6767E+00	2.6643E−02	1.9413E+00	2.7543E−02	1.6304E+00	2.8936E−02	1.3837E+00
57	2.5156E−02	3.7055E+00	2.5761E−02	1.9558E+00	2.6626E−02	1.6424E+00	2.7970E−02	1.3939E+00
58	2.4381E−02	3.7339E+00	2.4922E−02	1.9700E+00	2.5755E−02	1.6543E+00	2.7051E−02	1.4039E+00
59	2.3641E−02	3.7617E+00	2.4124E−02	1.9839E+00	2.4926E−02	1.6659E+00	2.6178E−02	1.4138E+00
60	2.2935E−02	3.7892E+00	2.3364E−02	1.9976E+00	2.4138E−02	1.6774E+00	2.5347E−02	1.4234E+00

Ti; [Z=22]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	8.4030E+00	2.0031E−01	9.2695E+00	1.1551E−01	9.6563E+00	9.8169E−02	1.0186E+01	8.4087E−02
1	6.5652E+00	2.4904E−01	7.3006E+00	1.4273E−01	7.6151E+00	1.2118E−01	8.0455E+00	1.0365E−01
2	4.0822E+00	3.7245E−01	4.6135E+00	2.1068E−01	4.8233E+00	1.7852E−01	5.1069E+00	1.5242E−01
3	2.7075E+00	5.1119E−01	3.1010E+00	2.8612E−01	3.2477E+00	2.4210E−01	3.4430E+00	2.0650E−01
4	1.9587E+00	6.3742E−01	2.2663E+00	3.5434E−01	2.3767E+00	2.9955E−01	2.5220E+00	2.5533E−01
5	1.4827E+00	7.5771E−01	1.7300E+00	4.1900E−01	1.8162E+00	3.5396E−01	1.9287E+00	3.0157E−01
6	1.1508E+00	8.7970E−01	1.3512E+00	4.8425E−01	1.4196E+00	4.0883E−01	1.5084E+00	3.4818E−01
7	9.1135E−01	1.0050E+00	1.0735E+00	5.5106E−01	1.1284E+00	4.6498E−01	1.1992E+00	3.9586E−01
8	7.3617E−01	1.1314E+00	8.6714E−01	6.1846E−01	9.1151E−01	5.2163E−01	9.6879E−01	4.4396E−01
9	6.0657E−01	1.2555E+00	7.1252E−01	6.8481E−01	7.4875E−01	5.7740E−01	7.9564E−01	4.9133E−01
10	5.0917E−01	1.3743E+00	5.9541E−01	7.4847E−01	6.2536E−01	6.3094E−01	6.6428E−01	5.3680E−01
11	4.3428E−01	1.4855E+00	5.0528E−01	8.0821E−01	5.3037E−01	6.8119E−01	5.6314E−01	5.7949E−01
12	3.7608E−01	1.5889E+00	4.3544E−01	8.6371E−01	4.5678E−01	7.2787E−01	4.8480E−01	6.1915E−01
13	3.2962E−01	1.6844E+00	3.8009E−01	9.1479E−01	3.9851E−01	7.7082E−01	4.2280E−01	6.5563E−01
14	2.9167E−01	1.7727E+00	3.3531E−01	9.6176E−01	3.5142E−01	8.1029E−01	3.7273E−01	6.8914E−01
15	2.6023E−01	1.8549E+00	2.9854E−01	1.0052E+00	3.1280E−01	8.4674E−01	3.3170E−01	7.2008E−01
16	2.3383E−01	1.9320E+00	2.6788E−01	1.0456E+00	2.8062E−01	8.8068E−01	2.9754E−01	7.4885E−01
17	2.1140E−01	2.0050E+00	2.4195E−01	1.0837E+00	2.5342E−01	9.1257E−01	2.6868E−01	7.7589E−01
18	1.9216E−01	2.0747E+00	2.1976E−01	1.1198E+00	2.3016E−01	9.4284E−01	2.4400E−01	8.0153E−01
19	1.7551E−01	2.1416E+00	2.0057E−01	1.1544E+00	2.1004E−01	9.7183E−01	2.2266E−01	8.2608E−01
20	1.6101E−01	2.2063E+00	1.8382E−01	1.1878E+00	1.9248E−01	9.9980E−01	2.0403E−01	8.4977E−01
21	1.4829E−01	2.2692E+00	1.6909E−01	1.2203E+00	1.7704E−01	1.0269E+00	1.8764E−01	8.7276E−01
22	1.3707E−01	2.3304E+00	1.5606E−01	1.2519E+00	1.6337E−01	1.0534E+00	1.7313E−01	8.9516E−01
23	1.2712E−01	2.3902E+00	1.4446E−01	1.2828E+00	1.5119E−01	1.0793E+00	1.6020E−01	9.1708E−01
24	1.1826E−01	2.4486E+00	1.3409E−01	1.3130E+00	1.4030E−01	1.1046E+00	1.4863E−01	9.3855E−01
25	1.1033E−01	2.5059E+00	1.2478E−01	1.3427E+00	1.3051E−01	1.1295E+00	1.3823E−01	9.5962E−01
26	1.0320E−01	2.5620E+00	1.1638E−01	1.3718E+00	1.2168E−01	1.1539E+00	1.2885E−01	9.8030E−01
27	9.6764E−02	2.6170E+00	1.0878E−01	1.4004E+00	1.1370E−01	1.1778E+00	1.2036E−01	1.0006E+00
28	9.0936E−02	2.6708E+00	1.0188E−01	1.4284E+00	1.0645E−01	1.2013E+00	1.1266E−01	1.0205E+00
29	8.5639E−02	2.7236E+00	9.5611E−02	1.4559E+00	9.9850E−02	1.2244E+00	1.0564E−01	1.0401E+00
30	8.0809E−02	2.7753E+00	8.9888E−02	1.4829E+00	9.3832E−02	1.2470E+00	9.9245E−02	1.0593E+00
31	7.6391E−02	2.8260E+00	8.4655E−02	1.5093E+00	8.8328E−02	1.2692E+00	9.3393E−02	1.0781E+00
32	7.2338E−02	2.8756E+00	7.9857E−02	1.5352E+00	8.3284E−02	1.2909E+00	8.8032E−02	1.0965E+00
33	6.8610E−02	2.9241E+00	7.5451E−02	1.5605E+00	7.8651E−02	1.3122E+00	8.3108E−02	1.1145E+00
34	6.5172E−02	2.9716E+00	7.1395E−02	1.5854E+00	7.4388E−02	1.3330E+00	7.8577E−02	1.1321E+00
35	6.1993E−02	3.0182E+00	6.7653E−02	1.6096E+00	7.0457E−02	1.3533E+00	7.4400E−02	1.1494E+00
36	5.9048E−02	3.0637E+00	6.4196E−02	1.6333E+00	6.6825E−02	1.3732E+00	7.0543E−02	1.1663E+00
37	5.6313E−02	3.1083E+00	6.0996E−02	1.6565E+00	6.3465E−02	1.3927E+00	6.6975E−02	1.1828E+00
38	5.3768E−02	3.1519E+00	5.8028E−02	1.6792E+00	6.0350E−02	1.4117E+00	6.3668E−02	1.1989E+00
39	5.1396E−02	3.1946E+00	5.5271E−02	1.7014E+00	5.7458E−02	1.4303E+00	6.0598E−02	1.2147E+00
40	4.9180E−02	3.2364E+00	5.2705E−02	1.7231E+00	5.4767E−02	1.4485E+00	5.7744E−02	1.2301E+00
41	4.7108E−02	3.2774E+00	5.0314E−02	1.7443E+00	5.2262E−02	1.4662E+00	5.5086E−02	1.2452E+00
42	4.5166E−02	3.3175E+00	4.8083E−02	1.7650E+00	4.9924E−02	1.4836E+00	5.2608E−02	1.2599E+00
43	4.3344E−02	3.3568E+00	4.5997E−02	1.7852E+00	4.7740E−02	1.5006E+00	5.0293E−02	1.2743E+00
44	4.1632E−02	3.3953E+00	4.4044E−02	1.8051E+00	4.5697E−02	1.5172E+00	4.8129E−02	1.2883E+00
45	4.0021E−02	3.4330E+00	4.2214E−02	1.8244E+00	4.3783E−02	1.5334E+00	4.6101E−02	1.3021E+00
46	3.8503E−02	3.4700E+00	4.0496E−02	1.8434E+00	4.1987E−02	1.5493E+00	4.4200E−02	1.3155E+00
47	3.7071E−02	3.5063E+00	3.8882E−02	1.8619E+00	4.0300E−02	1.5648E+00	4.2415E−02	1.3287E+00
48	3.5718E−02	3.5419E+00	3.7363E−02	1.8801E+00	3.8714E−02	1.5800E+00	4.0737E−02	1.3416E+00
49	3.4440E−02	3.5768E+00	3.5932E−02	1.8979E+00	3.7220E−02	1.5949E+00	3.9157E−02	1.3542E+00
50	3.3230E−02	3.6110E+00	3.4582E−02	1.9153E+00	3.5812E−02	1.6095E+00	3.7668E−02	1.3665E+00
51	3.2083E−02	3.6447E+00	3.3308E−02	1.9324E+00	3.4483E−02	1.6238E+00	3.6264E−02	1.3786E+00
52	3.0996E−02	3.6777E+00	3.2104E−02	1.9491E+00	3.3228E−02	1.6378E+00	3.4937E−02	1.3904E+00
53	2.9964E−02	3.7102E+00	3.0964E−02	1.9655E+00	3.2040E−02	1.6515E+00	3.3683E−02	1.4021E+00
54	2.8984E−02	3.7421E+00	2.9885E−02	1.9816E+00	3.0916E−02	1.6649E+00	3.2496E−02	1.4134E+00
55	2.8052E−02	3.7734E+00	2.8861E−02	1.9974E+00	2.9851E−02	1.6781E+00	3.1371E−02	1.4246E+00
56	2.7165E−02	3.8043E+00	2.7890E−02	2.0129E+00	2.8840E−02	1.6911E+00	3.0305E−02	1.4355E+00
57	2.6321E−02	3.8346E+00	2.6968E−02	2.0281E+00	2.7881E−02	1.7038E+00	2.9292E−02	1.4463E+00
58	2.5516E−02	3.8644E+00	2.6091E−02	2.0431E+00	2.6969E−02	1.7163E+00	2.8330E−02	1.4568E+00
59	2.4748E−02	3.8938E+00	2.5257E−02	2.0577E+00	2.6102E−02	1.7285E+00	2.7415E−02	1.4672E+00
60	2.4016E−02	3.9227E+00	2.4462E−02	2.0722E+00	2.5276E−02	1.7406E+00	2.6545E−02	1.4774E+00

V; [Z=23]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	7.8964E+00	2.1149E−01	8.7493E+00	1.2304E−01	9.1204E+00	1.0472E−01	9.6240E+00	8.9803E−02
1	6.2982E+00	2.5844E−01	7.0348E+00	1.4941E−01	7.3431E+00	1.2702E−01	7.7618E+00	1.0876E−01
2	4.0368E+00	3.7776E−01	4.5843E+00	2.1546E−01	4.7966E+00	1.8281E−01	5.0815E+00	1.5622E−01
3	2.7172E+00	5.1504E−01	3.1298E+00	2.9041E−01	3.2809E+00	2.4601E−01	3.4805E+00	2.1000E−01
4	1.9800E+00	6.4225E−01	2.3056E+00	3.5939E−01	2.4204E+00	3.0412E−01	2.5702E+00	2.5942E−01
5	1.5083E+00	7.6333E−01	1.7722E+00	4.2469E−01	1.8626E+00	3.5909E−01	1.9795E+00	3.0615E−01
6	1.1778E+00	8.8534E−01	1.3935E+00	4.9014E−01	1.4659E+00	4.1416E−01	1.5589E+00	3.5293E−01
7	9.3731E−01	1.0106E+00	1.1136E+00	5.5707E−01	1.1720E+00	4.7043E−01	1.2469E+00	4.0073E−01
8	7.5963E−01	1.1377E+00	9.0330E−01	6.2497E−01	9.5091E−01	5.2751E−01	1.0117E+00	4.4920E−01
9	6.2699E−01	1.2639E+00	7.4402E−01	6.9250E−01	7.8307E−01	5.8429E−01	8.3302E−01	4.9743E−01
10	5.2664E−01	1.3863E+00	6.2226E−01	7.5818E−01	6.5460E−01	6.3953E−01	6.9612E−01	5.4436E−01
11	4.4921E−01	1.5023E+00	5.2792E−01	8.2068E−01	5.5500E−01	6.9212E−01	5.8993E−01	5.8905E−01
12	3.8892E−01	1.6113E+00	4.5445E−01	8.7942E−01	4.7741E−01	7.4155E−01	5.0721E−01	6.3106E−01
13	3.4075E−01	1.7127E+00	3.9610E−01	9.3399E−01	4.1584E−01	7.8747E−01	4.4159E−01	6.7008E−01
14	3.0144E−01	1.8068E+00	3.4891E−01	9.8443E−01	3.6609E−01	8.2990E−01	3.8861E−01	7.0612E−01
15	2.6889E−01	1.8945E+00	3.1022E−01	1.0311E+00	3.2536E−01	8.6914E−01	3.4527E−01	7.3944E−01
16	2.4156E−01	1.9766E+00	2.7803E−01	1.0745E+00	2.9151E−01	9.0559E−01	3.0927E−01	7.7037E−01
17	2.1834E−01	2.0540E+00	2.5089E−01	1.1152E+00	2.6299E−01	9.3968E−01	2.7898E−01	7.9928E−01
18	1.9842E−01	2.1276E+00	2.2773E−01	1.1535E+00	2.3867E−01	9.7182E−01	2.5315E−01	8.2653E−01
19	1.8120E−01	2.1979E+00	2.0775E−01	1.1900E+00	2.1771E−01	1.0024E+00	2.3090E−01	8.5243E−01
20	1.6619E−01	2.2655E+00	1.9037E−01	1.2250E+00	1.9947E−01	1.0317E+00	2.1153E−01	8.7724E−01
21	1.5304E−01	2.3310E+00	1.7511E−01	1.2587E+00	1.8346E−01	1.0599E+00	1.9454E−01	9.0117E−01
22	1.4145E−01	2.3945E+00	1.6164E−01	1.2915E+00	1.6932E−01	1.0874E+00	1.7952E−01	9.2438E−01
23	1.3117E−01	2.4563E+00	1.4966E−01	1.3234E+00	1.5674E−01	1.1141E+00	1.6617E−01	9.4699E−01
24	1.2203E−01	2.5167E+00	1.3896E−01	1.3545E+00	1.4550E−01	1.1401E+00	1.5423E−01	9.6908E−01
25	1.1385E−01	2.5757E+00	1.2935E−01	1.3850E+00	1.3541E−01	1.1657E+00	1.4350E−01	9.9072E−01
26	1.0650E−01	2.6335E+00	1.2070E−01	1.4149E+00	1.2631E−01	1.1907E+00	1.3383E−01	1.0119E+00
27	9.9870E−02	2.6901E+00	1.1286E−01	1.4442E+00	1.1808E−01	1.2153E+00	1.2508E−01	1.0328E+00
28	9.3872E−02	2.7456E+00	1.0576E−01	1.4730E+00	1.1060E−01	1.2394E+00	1.1713E−01	1.0532E+00
29	8.8424E−02	2.7999E+00	9.9293E−02	1.5013E+00	1.0380E−01	1.2631E+00	1.0989E−01	1.0733E+00
30	8.3459E−02	2.8532E+00	9.3391E−02	1.5290E+00	9.7585E−02	1.2863E+00	1.0329E−01	1.0929E+00
31	7.8920E−02	2.9054E+00	8.7992E−02	1.5562E+00	9.1902E−02	1.3091E+00	9.7241E−02	1.1123E+00
32	7.4758E−02	2.9566E+00	8.3040E−02	1.5828E+00	8.6690E−02	1.3315E+00	9.1697E−02	1.1313E+00
33	7.0930E−02	3.0068E+00	7.8488E−02	1.6090E+00	8.1900E−02	1.3534E+00	8.6602E−02	1.1498E+00
34	6.7401E−02	3.0559E+00	7.4295E−02	1.6346E+00	7.7488E−02	1.3749E+00	8.1910E−02	1.1681E+00
35	6.4140E−02	3.1041E+00	7.0427E−02	1.6597E+00	7.3418E−02	1.3959E+00	7.7582E−02	1.1859E+00
36	6.1118E−02	3.1513E+00	6.6849E−02	1.6843E+00	6.9655E−02	1.4166E+00	7.3581E−02	1.2034E+00
37	5.8312E−02	3.1975E+00	6.3535E−02	1.7083E+00	6.6171E−02	1.4368E+00	6.9877E−02	1.2205E+00
38	5.5701E−02	3.2428E+00	6.0460E−02	1.7319E+00	6.2939E−02	1.4565E+00	6.6443E−02	1.2373E+00
39	5.3267E−02	3.2872E+00	5.7602E−02	1.7550E+00	5.9936E−02	1.4759E+00	6.3253E−02	1.2537E+00
40	5.0993E−02	3.3307E+00	5.4941E−02	1.7775E+00	5.7142E−02	1.4948E+00	6.0285E−02	1.2697E+00
41	4.8866E−02	3.3734E+00	5.2460E−02	1.7996E+00	5.4538E−02	1.5133E+00	5.7520E−02	1.2854E+00
42	4.6873E−02	3.4152E+00	5.0144E−02	1.8212E+00	5.2107E−02	1.5314E+00	5.4940E−02	1.3008E+00
43	4.5001E−02	3.4561E+00	4.7977E−02	1.8424E+00	4.9835E−02	1.5492E+00	5.2529E−02	1.3159E+00
44	4.3242E−02	3.4963E+00	4.5948E−02	1.8631E+00	4.7708E−02	1.5665E+00	5.0274E−02	1.3306E+00
45	4.1587E−02	3.5357E+00	4.4046E−02	1.8834E+00	4.5715E−02	1.5835E+00	4.8161E−02	1.3450E+00
46	4.0026E−02	3.5744E+00	4.2260E−02	1.9032E+00	4.3845E−02	1.6001E+00	4.6178E−02	1.3591E+00
47	3.8553E−02	3.6123E+00	4.0581E−02	1.9226E+00	4.2088E−02	1.6164E+00	4.4316E−02	1.3728E+00
48	3.7162E−02	3.6496E+00	3.9000E−02	1.9417E+00	4.0435E−02	1.6324E+00	4.2565E−02	1.3863E+00
49	3.5845E−02	3.6861E+00	3.7511E−02	1.9603E+00	3.8878E−02	1.6480E+00	4.0917E−02	1.3996E+00
50	3.4599E−02	3.7220E+00	3.6105E−02	1.9786E+00	3.7409E−02	1.6633E+00	3.9363E−02	1.4125E+00
51	3.3418E−02	3.7573E+00	3.4779E−02	1.9965E+00	3.6024E−02	1.6782E+00	3.7897E−02	1.4252E+00
52	3.2297E−02	3.7919E+00	3.3524E−02	2.0141E+00	3.4714E−02	1.6929E+00	3.6511E−02	1.4376E+00
53	3.1233E−02	3.8259E+00	3.2337E−02	2.0313E+00	3.3475E−02	1.7073E+00	3.5202E−02	1.4498E+00
54	3.0222E−02	3.8594E+00	3.1212E−02	2.0482E+00	3.2302E−02	1.7215E+00	3.3962E−02	1.4618E+00
55	2.9259E−02	3.8923E+00	3.0145E−02	2.0648E+00	3.1190E−02	1.7353E+00	3.2787E−02	1.4735E+00
56	2.8343E−02	3.9246E+00	2.9133E−02	2.0810E+00	3.0135E−02	1.7489E+00	3.1673E−02	1.4850E+00
57	2.7471E−02	3.9565E+00	2.8171E−02	2.0970E+00	2.9134E−02	1.7623E+00	3.0615E−02	1.4963E+00
58	2.6639E−02	3.9878E+00	2.7257E−02	2.1127E+00	2.8182E−02	1.7754E+00	2.9610E−02	1.5074E+00
59	2.5844E−02	4.0186E+00	2.6387E−02	2.1281E+00	2.7276E−02	1.7883E+00	2.8654E−02	1.5183E+00
60	2.5086E−02	4.0490E+00	2.5558E−02	2.1433E+00	2.6414E−02	1.8009E+00	2.7744E−02	1.5290E+00

Cr; [Z=24]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	6.5487E+00	2.3087E−01	7.3124E+00	1.3592E−01	7.6308E+00	1.1590E−01	8.0559E+00	9.9555E−02
1	5.3648E+00	2.7679E−01	6.0387E+00	1.6179E−01	6.3105E+00	1.3779E−01	6.6750E+00	1.1813E−01
2	3.6934E+00	3.8330E−01	4.2223E+00	2.2100E−01	4.4225E+00	1.8781E−01	4.6887E+00	1.6068E−01
3	2.6401E+00	5.0123E−01	3.0602E+00	2.8576E−01	3.2112E+00	2.4247E−01	3.4091E+00	2.0721E−01
4	1.9810E+00	6.1693E−01	2.3230E+00	3.4881E−01	2.4413E+00	2.9563E−01	2.5945E+00	2.5245E−01
5	1.5285E+00	7.3384E−01	1.8101E+00	4.1210E−01	1.9048E+00	3.4893E−01	2.0261E+00	2.9778E−01
6	1.2016E+00	8.5497E−01	1.4339E+00	4.7727E−01	1.5104E+00	4.0378E−01	1.6078E+00	3.4439E−01
7	9.6026E−01	9.8061E−01	1.1516E+00	5.4458E−01	1.2138E+00	4.6039E−01	1.2926E+00	3.9248E−01
8	7.8043E−01	1.1090E+00	9.3749E−01	6.1326E−01	9.8843E−01	5.1814E−01	1.0528E+00	4.4153E−01
9	6.4530E−01	1.2374E+00	7.7399E−01	6.8203E−01	8.1595E−01	5.7597E−01	8.6901E−01	4.9066E−01
10	5.4255E−01	1.3629E+00	6.4812E−01	7.4950E−01	6.8294E−01	6.3273E−01	7.2713E−01	5.3888E−01
11	4.6303E−01	1.4831E+00	5.5005E−01	8.1435E−01	5.7922E−01	6.8730E−01	6.1642E−01	5.8526E−01
12	4.0097E−01	1.5969E+00	4.7331E−01	8.7589E−01	4.9802E−01	7.3912E−01	5.2971E−01	6.2931E−01
13	3.5135E−01	1.7035E+00	4.1220E−01	9.3355E−01	4.3338E−01	7.8766E−01	4.6070E−01	6.7058E−01
14	3.1085E−01	1.8029E+00	3.6273E−01	9.8720E−01	3.8109E−01	8.3283E−01	4.0492E−01	7.0897E−01
15	2.7731E−01	1.8958E+00	3.2217E−01	1.0371E+00	3.3828E−01	8.7476E−01	3.5928E−01	7.4460E−01
16	2.4914E−01	1.9828E+00	2.8845E−01	1.0834E+00	3.0274E−01	9.1375E−01	3.2143E−01	7.7771E−01
17	2.2521E−01	2.0648E+00	2.6007E−01	1.1268E+00	2.7286E−01	9.5016E−01	2.8963E−01	8.0861E−01
18	2.0467E−01	2.1425E+00	2.3590E−01	1.1676E+00	2.4743E−01	9.8438E−01	2.6260E−01	8.3763E−01
19	1.8690E−01	2.2165E+00	2.1509E−01	1.2062E+00	2.2557E−01	1.0167E+00	2.3936E−01	8.6507E−01
20	1.7141E−01	2.2875E+00	1.9702E−01	1.2430E+00	2.0659E−01	1.0476E+00	2.1919E−01	8.9121E−01
21	1.5783E−01	2.3559E+00	1.8120E−01	1.2784E+00	1.8997E−01	1.0772E+00	2.0154E−01	9.1629E−01
22	1.4586E−01	2.4221E+00	1.6724E−01	1.3125E+00	1.7531E−01	1.1058E+00	1.8597E−01	9.4048E−01
23	1.3526E−01	2.4863E+00	1.5486E−01	1.3456E+00	1.6230E−01	1.1335E+00	1.7215E−01	9.6395E−01
24	1.2582E−01	2.5489E+00	1.4380E−01	1.3778E+00	1.5069E−01	1.1605E+00	1.5981E−01	9.8679E−01
25	1.1737E−01	2.6099E+00	1.3389E−01	1.4093E+00	1.4027E−01	1.1868E+00	1.4873E−01	1.0091E+00
26	1.0980E−01	2.6696E+00	1.2497E−01	1.4401E+00	1.3088E−01	1.2126E+00	1.3875E−01	1.0309E+00
27	1.0297E−01	2.7280E+00	1.1689E−01	1.4702E+00	1.2239E−01	1.2378E+00	1.2973E−01	1.0523E+00
28	9.6791E−02	2.7851E+00	1.0957E−01	1.4998E+00	1.1469E−01	1.2626E+00	1.2153E−01	1.0733E+00
29	9.1183E−02	2.8411E+00	1.0291E−01	1.5288E+00	1.0767E−01	1.2869E+00	1.1407E−01	1.0939E+00
30	8.6076E−02	2.8960E+00	9.6828E−02	1.5573E+00	1.0127E−01	1.3108E+00	1.0726E−01	1.1141E+00
31	8.1410E−02	2.9499E+00	9.1263E−02	1.5852E+00	9.5408E−02	1.3342E+00	1.0102E−01	1.1340E+00
32	7.7134E−02	3.0026E+00	8.6158E−02	1.6126E+00	9.0031E−02	1.3572E+00	9.5296E−02	1.1535E+00
33	7.3204E−02	3.0544E+00	8.1464E−02	1.6395E+00	8.5087E−02	1.3798E+00	9.0035E−02	1.1726E+00
34	6.9582E−02	3.1051E+00	7.7139E−02	1.6659E+00	8.0532E−02	1.4019E+00	8.5186E−02	1.1914E+00
35	6.6236E−02	3.1549E+00	7.3145E−02	1.6918E+00	7.6326E−02	1.4236E+00	8.0711E−02	1.2098E+00
36	6.3137E−02	3.2037E+00	6.9452E−02	1.7172E+00	7.2436E−02	1.4449E+00	7.6572E−02	1.2278E+00
37	6.0260E−02	3.2516E+00	6.6028E−02	1.7421E+00	6.8833E−02	1.4658E+00	7.2738E−02	1.2455E+00
38	5.7583E−02	3.2985E+00	6.2850E−02	1.7665E+00	6.5488E−02	1.4862E+00	6.9180E−02	1.2629E+00
39	5.5088E−02	3.3445E+00	5.9895E−02	1.7904E+00	6.2379E−02	1.5063E+00	6.5874E−02	1.2799E+00
40	5.2758E−02	3.3897E+00	5.7142E−02	1.8138E+00	5.9484E−02	1.5259E+00	6.2796E−02	1.2966E+00
41	5.0578E−02	3.4339E+00	5.4574E−02	1.8367E+00	5.6785E−02	1.5452E+00	5.9927E−02	1.3129E+00
42	4.8535E−02	3.4774E+00	5.2175E−02	1.8592E+00	5.4264E−02	1.5640E+00	5.7249E−02	1.3288E+00
43	4.6616E−02	3.5200E+00	4.9931E−02	1.8812E+00	5.1907E−02	1.5825E+00	5.4745E−02	1.3445E+00
44	4.4813E−02	3.5618E+00	4.7829E−02	1.9028E+00	4.9700E−02	1.6005E+00	5.2401E−02	1.3598E+00
45	4.3115E−02	3.6028E+00	4.5857E−02	1.9239E+00	4.7631E−02	1.6182E+00	5.0205E−02	1.3748E+00
46	4.1514E−02	3.6431E+00	4.4004E−02	1.9446E+00	4.5688E−02	1.6356E+00	4.8144E−02	1.3895E+00
47	4.0003E−02	3.6827E+00	4.2262E−02	1.9649E+00	4.3862E−02	1.6526E+00	4.6207E−02	1.4039E+00
48	3.8574E−02	3.7215E+00	4.0622E−02	1.9848E+00	4.2144E−02	1.6692E+00	4.4385E−02	1.4180E+00
49	3.7223E−02	3.7597E+00	3.9076E−02	2.0043E+00	4.0525E−02	1.6855E+00	4.2669E−02	1.4318E+00
50	3.5943E−02	3.7972E+00	3.7617E−02	2.0234E+00	3.8998E−02	1.7015E+00	4.1051E−02	1.4454E+00
51	3.4729E−02	3.8340E+00	3.6239E−02	2.0421E+00	3.7556E−02	1.7172E+00	3.9525E−02	1.4587E+00
52	3.3577E−02	3.8702E+00	3.4935E−02	2.0605E+00	3.6194E−02	1.7326E+00	3.8082E−02	1.4717E+00
53	3.2483E−02	3.9058E+00	3.3701E−02	2.0785E+00	3.4904E−02	1.7477E+00	3.6717E−02	1.4845E+00
54	3.1442E−02	3.9408E+00	3.2532E−02	2.0962E+00	3.3683E−02	1.7625E+00	3.5425E−02	1.4970E+00
55	3.0452E−02	3.9752E+00	3.1423E−02	2.1135E+00	3.2526E−02	1.7770E+00	3.4201E−02	1.5093E+00
56	2.9508E−02	4.0091E+00	3.0371E−02	2.1306E+00	3.1427E−02	1.7912E+00	3.3040E−02	1.5213E+00
57	2.8609E−02	4.0424E+00	2.9371E−02	2.1474E+00	3.0384E−02	1.8052E+00	3.1937E−02	1.5332E+00
58	2.7752E−02	4.0753E+00	2.8419E−02	2.1638E+00	2.9393E−02	1.8190E+00	3.0889E−02	1.5448E+00
59	2.6933E−02	4.1076E+00	2.7514E−02	2.1799E+00	2.8450E−02	1.8325E+00	2.9893E−02	1.5562E+00
60	2.6151E−02	4.1394E+00	2.6652E−02	2.1958E+00	2.7552E−02	1.8457E+00	2.8944E−02	1.5674E+00

Mn; [Z=25]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	7.0380E+00	2.3139E−01	7.8661E+00	1.3708E−01	8.2111E+00	1.1703E−01	8.6717E+00	1.0059E−01
1	5.7919E+00	2.7543E−01	6.5264E+00	1.6210E−01	6.8223E+00	1.3822E−01	7.2186E+00	1.1860E−01
2	3.8974E+00	3.8806E−01	4.4682E+00	2.2511E−01	4.6827E+00	1.9151E−01	4.9667E+00	1.6398E−01
3	2.6962E+00	5.2180E−01	3.1400E+00	2.9878E−01	3.2977E+00	2.5373E−01	3.5031E+00	2.1697E−01
4	1.9947E+00	6.4920E−01	2.3517E+00	3.6836E−01	2.4739E+00	3.1241E−01	2.6311E+00	2.6692E−01
5	1.5387E+00	7.7067E−01	1.8327E+00	4.3431E−01	1.9306E+00	3.6799E−01	2.0551E+00	3.1419E−01
6	1.2156E+00	8.9207E−01	1.4600E+00	4.9985E−01	1.5396E+00	4.2317E−01	1.6402E+00	3.6111E−01
7	9.7702E−01	1.0163E+00	1.1803E+00	5.6662E−01	1.2457E+00	4.7935E−01	1.3278E+00	4.0885E−01
8	7.9768E−01	1.1434E+00	9.6638E−01	6.3473E−01	1.0203E+00	5.3664E−01	1.0879E+00	4.5752E−01
9	6.6153E−01	1.2715E+00	8.0116E−01	7.0343E−01	8.4591E−01	5.9442E−01	9.0193E−01	5.0660E−01
10	5.5715E−01	1.3982E+00	6.7259E−01	7.7156E−01	7.0992E−01	6.5174E−01	7.5676E−01	5.5531E−01
11	4.7592E−01	1.5210E+00	5.7156E−01	8.3790E−01	6.0292E−01	7.0758E−01	6.4243E−01	6.0277E−01
12	4.1228E−01	1.6386E+00	4.9192E−01	9.0162E−01	5.1849E−01	7.6123E−01	5.5217E−01	6.4838E−01
13	3.6135E−01	1.7497E+00	4.2821E−01	9.6197E−01	4.5096E−01	8.1207E−01	4.7996E−01	6.9162E−01
14	3.1976E−01	1.8541E+00	3.7653E−01	1.0186E+00	3.9619E−01	8.5979E−01	4.2143E−01	7.3220E−01
15	2.8534E−01	1.9520E+00	3.3412E−01	1.0716E+00	3.5131E−01	9.0438E−01	3.7349E−01	7.7011E−01
16	2.5642E−01	2.0439E+00	2.9888E−01	1.1210E+00	3.1406E−01	9.4597E−01	3.3374E−01	8.0545E−01
17	2.3184E−01	2.1305E+00	2.6925E−01	1.1672E+00	2.8278E−01	9.8482E−01	3.0039E−01	8.3845E−01
18	2.1074E−01	2.2124E+00	2.4405E−01	1.2106E+00	2.5622E−01	1.0213E+00	2.7210E−01	8.6938E−01
19	1.9246E−01	2.2903E+00	2.2240E−01	1.2515E+00	2.3342E−01	1.0556E+00	2.4783E−01	8.9852E−01
20	1.7653E−01	2.3647E+00	2.0363E−01	1.2904E+00	2.1367E−01	1.0882E+00	2.2683E−01	9.2614E−01
21	1.6254E−01	2.4362E+00	1.8722E−01	1.3275E+00	1.9641E−01	1.1193E+00	2.0848E−01	9.5250E−01
22	1.5021E−01	2.5052E+00	1.7277E−01	1.3631E+00	1.8123E−01	1.1492E+00	1.9234E−01	9.7779E−01
23	1.3928E−01	2.5720E+00	1.5997E−01	1.3976E+00	1.6777E−01	1.1780E+00	1.7804E−01	1.0022E+00
24	1.2954E−01	2.6369E+00	1.4855E−01	1.4310E+00	1.5577E−01	1.2059E+00	1.6529E−01	1.0259E+00
25	1.2084E−01	2.7000E+00	1.3833E−01	1.4634E+00	1.4502E−01	1.2331E+00	1.5386E−01	1.0489E+00
26	1.1303E−01	2.7616E+00	1.2913E−01	1.4951E+00	1.3535E−01	1.2596E+00	1.4357E−01	1.0713E+00
27	1.0599E−01	2.8218E+00	1.2082E−01	1.5261E+00	1.2660E−01	1.2856E+00	1.3427E−01	1.0933E+00
28	9.9633E−02	2.8807E+00	1.1328E−01	1.5565E+00	1.1867E−01	1.3110E+00	1.2583E−01	1.1149E+00
29	9.3861E−02	2.9384E+00	1.0643E−01	1.5863E+00	1.1145E−01	1.3360E+00	1.1815E−01	1.1360E+00
30	8.8608E−02	2.9950E+00	1.0017E−01	1.6155E+00	1.0486E−01	1.3604E+00	1.1113E−01	1.1567E+00
31	8.3812E−02	3.0504E+00	9.4442E−02	1.6442E+00	9.8823E−02	1.3844E+00	1.0471E−01	1.1771E+00
32	7.9419E−02	3.1047E+00	8.9188E−02	1.6723E+00	9.3286E−02	1.4080E+00	9.8811E−02	1.1971E+00
33	7.5385E−02	3.1580E+00	8.4356E−02	1.6999E+00	8.8194E−02	1.4312E+00	9.3388E−02	1.2167E+00
34	7.1669E−02	3.2103E+00	7.9903E−02	1.7271E+00	8.3501E−02	1.4540E+00	8.8390E−02	1.2360E+00
35	6.8238E−02	3.2616E+00	7.5791E−02	1.7537E+00	7.9166E−02	1.4763E+00	8.3774E−02	1.2549E+00
36	6.5062E−02	3.3119E+00	7.1985E−02	1.7798E+00	7.5155E−02	1.4982E+00	7.9503E−02	1.2735E+00
37	6.2116E−02	3.3613E+00	6.8457E−02	1.8055E+00	7.1436E−02	1.5197E+00	7.5544E−02	1.2917E+00
38	5.9376E−02	3.4098E+00	6.5180E−02	1.8306E+00	6.7984E−02	1.5408E+00	7.1868E−02	1.3096E+00
39	5.6822E−02	3.4573E+00	6.2132E−02	1.8553E+00	6.4773E−02	1.5615E+00	6.8450E−02	1.3272E+00
40	5.4438E−02	3.5040E+00	5.9292E−02	1.8795E+00	6.1782E−02	1.5818E+00	6.5267E−02	1.3444E+00
41	5.2207E−02	3.5499E+00	5.6641E−02	1.9033E+00	5.8991E−02	1.6017E+00	6.2298E−02	1.3613E+00
42	5.0117E−02	3.5949E+00	5.4164E−02	1.9266E+00	5.6384E−02	1.6213E+00	5.9526E−02	1.3779E+00
43	4.8155E−02	3.6390E+00	5.1845E−02	1.9494E+00	5.3946E−02	1.6404E+00	5.6932E−02	1.3941E+00
44	4.6310E−02	3.6824E+00	4.9672E−02	1.9718E+00	5.1661E−02	1.6592E+00	5.4504E−02	1.4100E+00
45	4.4573E−02	3.7250E+00	4.7633E−02	1.9937E+00	4.9518E−02	1.6776E+00	5.2227E−02	1.4256E+00
46	4.2935E−02	3.7669E+00	4.5718E−02	2.0152E+00	4.7506E−02	1.6956E+00	5.0089E−02	1.4409E+00
47	4.1389E−02	3.8080E+00	4.3915E−02	2.0364E+00	4.5614E−02	1.7133E+00	4.8080E−02	1.4559E+00
48	3.9927E−02	3.8484E+00	4.2218E−02	2.0570E+00	4.3833E−02	1.7306E+00	4.6189E−02	1.4706E+00
49	3.8544E−02	3.8881E+00	4.0617E−02	2.0773E+00	4.2154E−02	1.7476E+00	4.4407E−02	1.4850E+00
50	3.7233E−02	3.9271E+00	3.9106E−02	2.0973E+00	4.0570E−02	1.7643E+00	4.2727E−02	1.4991E+00
51	3.5990E−02	3.9655E+00	3.7678E−02	2.1168E+00	3.9074E−02	1.7807E+00	4.1141E−02	1.5130E+00
52	3.4809E−02	4.0032E+00	3.6328E−02	2.1360E+00	3.7660E−02	1.7967E+00	3.9642E−02	1.5266E+00
53	3.3688E−02	4.0403E+00	3.5049E−02	2.1548E+00	3.6322E−02	1.8125E+00	3.8224E−02	1.5399E+00
54	3.2621E−02	4.0768E+00	3.3837E−02	2.1732E+00	3.5054E−02	1.8279E+00	3.6881E−02	1.5530E+00
55	3.1605E−02	4.1127E+00	3.2687E−02	2.1914E+00	3.3852E−02	1.8431E+00	3.5608E−02	1.5658E+00
56	3.0637E−02	4.1481E+00	3.1595E−02	2.2092E+00	3.2711E−02	1.8580E+00	3.4401E−02	1.5784E+00
57	2.9714E−02	4.1829E+00	3.0558E−02	2.2267E+00	3.1627E−02	1.8726E+00	3.3254E−02	1.5908E+00
58	2.8833E−02	4.2172E+00	2.9571E−02	2.2439E+00	3.0597E−02	1.8870E+00	3.2164E−02	1.6030E+00
59	2.7992E−02	4.2509E+00	2.8632E−02	2.2608E+00	2.9617E−02	1.9011E+00	3.1128E−02	1.6149E+00
60	2.7188E−02	4.2841E+00	2.7737E−02	2.2774E+00	2.8683E−02	1.9150E+00	3.0141E−02	1.6266E+00

Fe; [Z=26]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	6.6697E+00	2.4041E−01	7.4861E+00	1.4374E−01	7.8200E+00	1.2290E−01	8.2623E+00	1.0577E−01
1	5.5574E+00	2.8320E−01	6.2891E+00	1.6818E−01	6.5791E+00	1.4362E−01	6.9649E+00	1.2338E−01
2	3.8154E+00	3.9291E−01	4.3944E+00	2.2990E−01	4.6092E+00	1.9587E−01	4.8917E+00	1.6789E−01
3	2.6722E+00	5.2480E−01	3.1286E+00	3.0289E−01	3.2889E+00	2.5755E−01	3.4961E+00	2.2045E−01
4	1.9914E+00	6.5182E−01	2.3619E+00	3.7253E−01	2.4873E+00	3.1632E−01	2.6473E+00	2.7049E−01
5	1.5453E+00	7.7314E−01	1.8527E+00	4.3863E−01	1.9539E+00	3.7206E−01	2.0817E+00	3.1792E−01
6	1.2275E+00	8.9404E−01	1.4850E+00	5.0411E−01	1.5680E+00	4.2722E−01	1.6719E+00	3.6484E−01
7	9.9133E−01	1.0176E+00	1.2073E+00	5.7068E−01	1.2759E+00	4.8326E−01	1.3613E+00	4.1247E−01
8	8.1244E−01	1.1442E+00	9.9315E−01	6.3867E−01	1.0502E+00	5.4046E−01	1.1209E+00	4.6107E−01
9	6.7562E−01	1.2724E+00	8.2638E−01	7.0753E−01	8.7396E−01	5.9839E−01	9.3292E−01	5.1030E−01
10	5.7003E−01	1.4002E+00	6.9555E−01	7.7631E−01	7.3543E−01	6.5626E−01	7.8492E−01	5.5947E−01
11	4.8748E−01	1.5251E+00	5.9202E−01	8.4388E−01	6.2562E−01	7.1314E−01	6.6748E−01	6.0782E−01
12	4.2259E−01	1.6458E+00	5.0989E−01	9.0936E−01	5.3841E−01	7.6830E−01	5.7412E−01	6.5472E−01
13	3.7056E−01	1.7608E+00	4.4390E−01	9.7197E−01	4.6830E−01	8.2105E−01	4.9905E−01	6.9959E−01
14	3.2807E−01	1.8695E+00	3.9021E−01	1.0312E+00	4.1128E−01	8.7100E−01	4.3800E−01	7.4208E−01
15	2.9289E−01	1.9719E+00	3.4609E−01	1.0870E+00	3.6445E−01	9.1798E−01	3.8789E−01	7.8205E−01
16	2.6334E−01	2.0683E+00	3.0940E−01	1.1392E+00	3.2556E−01	9.6200E−01	3.4631E−01	8.1949E−01
17	2.3821E−01	2.1593E+00	2.7855E−01	1.1882E+00	2.9290E−01	1.0032E+00	3.1142E−01	8.5454E−01
18	2.1662E−01	2.2453E+00	2.5233E−01	1.2342E+00	2.6519E−01	1.0419E+00	2.8185E−01	8.8741E−01
19	1.9790E−01	2.3271E+00	2.2982E−01	1.2776E+00	2.4144E−01	1.0783E+00	2.5653E−01	9.1833E−01
20	1.8156E−01	2.4052E+00	2.1034E−01	1.3186E+00	2.2089E−01	1.1128E+00	2.3465E−01	9.4757E−01
21	1.6721E−01	2.4800E+00	1.9332E−01	1.3577E+00	2.0297E−01	1.1456E+00	2.1557E−01	9.7536E−01
22	1.5454E−01	2.5521E+00	1.7836E−01	1.3951E+00	1.8723E−01	1.1769E+00	1.9882E−01	1.0019E+00
23	1.4330E−01	2.6216E+00	1.6512E−01	1.4311E+00	1.7329E−01	1.2070E+00	1.8399E−01	1.0274E+00
24	1.3328E−01	2.6890E+00	1.5333E−01	1.4658E+00	1.6089E−01	1.2361E+00	1.7080E−01	1.0521E+00
25	1.2432E−01	2.7546E+00	1.4278E−01	1.4995E+00	1.4979E−01	1.2643E+00	1.5900E−01	1.0759E+00
26	1.1628E−01	2.8184E+00	1.3329E−01	1.5323E+00	1.3981E−01	1.2918E+00	1.4838E−01	1.0992E+00
27	1.0904E−01	2.8806E+00	1.2473E−01	1.5643E+00	1.3079E−01	1.3185E+00	1.3879E−01	1.1218E+00
28	1.0249E−01	2.9415E+00	1.1697E−01	1.5956E+00	1.2262E−01	1.3447E+00	1.3009E−01	1.1440E+00
29	9.6545E−02	3.0010E+00	1.0991E−01	1.6262E+00	1.1519E−01	1.3704E+00	1.2218E−01	1.1657E+00
30	9.1140E−02	3.0592E+00	1.0347E−01	1.6562E+00	1.0840E−01	1.3955E+00	1.1495E−01	1.1870E+00
31	8.6208E−02	3.1163E+00	9.7577E−02	1.6856E+00	1.0219E−01	1.4201E+00	1.0834E−01	1.2078E+00
32	8.1694E−02	3.1723E+00	9.2172E−02	1.7145E+00	9.6494E−02	1.4443E+00	1.0227E−01	1.2284E+00
33	7.7550E−02	3.2272E+00	8.7202E−02	1.7429E+00	9.1253E−02	1.4681E+00	9.6691E−02	1.2485E+00
34	7.3736E−02	3.2810E+00	8.2621E−02	1.7708E+00	8.6421E−02	1.4914E+00	9.1544E−02	1.2683E+00
35	7.0216E−02	3.3339E+00	7.8390E−02	1.7981E+00	8.1958E−02	1.5144E+00	8.6789E−02	1.2877E+00
36	6.6960E−02	3.3858E+00	7.4474E−02	1.8250E+00	7.7827E−02	1.5369E+00	8.2387E−02	1.3068E+00
37	6.3941E−02	3.4367E+00	7.0842E−02	1.8514E+00	7.3997E−02	1.5590E+00	7.8307E−02	1.3256E+00
38	6.1135E−02	3.4867E+00	6.7469E−02	1.8773E+00	7.0439E−02	1.5808E+00	7.4516E−02	1.3440E+00
39	5.8521E−02	3.5358E+00	6.4330E−02	1.9027E+00	6.7129E−02	1.6021E+00	7.0990E−02	1.3621E+00
40	5.6081E−02	3.5840E+00	6.1404E−02	1.9277E+00	6.4044E−02	1.6230E+00	6.7704E−02	1.3799E+00
41	5.3800E−02	3.6314E+00	5.8673E−02	1.9522E+00	6.1165E−02	1.6436E+00	6.4639E−02	1.3973E+00
42	5.1663E−02	3.6779E+00	5.6120E−02	1.9762E+00	5.8475E−02	1.6638E+00	6.1774E−02	1.4144E+00
43	4.9657E−02	3.7236E+00	5.3729E−02	1.9998E+00	5.5957E−02	1.6836E+00	5.9094E−02	1.4312E+00
44	4.7771E−02	3.7685E+00	5.1488E−02	2.0230E+00	5.3597E−02	1.7030E+00	5.6583E−02	1.4476E+00
45	4.5996E−02	3.8126E+00	4.9384E−02	2.0457E+00	5.1383E−02	1.7220E+00	5.4228E−02	1.4638E+00
46	4.4323E−02	3.8560E+00	4.7407E−02	2.0680E+00	4.9303E−02	1.7407E+00	5.2016E−02	1.4797E+00
47	4.2743E−02	3.8987E+00	4.5547E−02	2.0899E+00	4.7347E−02	1.7591E+00	4.9936E−02	1.4952E+00
48	4.1249E−02	3.9406E+00	4.3794E−02	2.1114E+00	4.5504E−02	1.7771E+00	4.7978E−02	1.5105E+00
49	3.9835E−02	3.9818E+00	4.2140E−02	2.1325E+00	4.3768E−02	1.7947E+00	4.6133E−02	1.5254E+00
50	3.8495E−02	4.0223E+00	4.0579E−02	2.1532E+00	4.2129E−02	1.8121E+00	4.4392E−02	1.5401E+00
51	3.7224E−02	4.0622E+00	3.9103E−02	2.1735E+00	4.0580E−02	1.8291E+00	4.2748E−02	1.5545E+00
52	3.6017E−02	4.1014E+00	3.7707E−02	2.1934E+00	3.9116E−02	1.8458E+00	4.1194E−02	1.5687E+00
53	3.4870E−02	4.1400E+00	3.6385E−02	2.2130E+00	3.7729E−02	1.8622E+00	3.9724E−02	1.5826E+00
54	3.3778E−02	4.1780E+00	3.5131E−02	2.2323E+00	3.6416E−02	1.8783E+00	3.8331E−02	1.5962E+00
55	3.2738E−02	4.2154E+00	3.3941E−02	2.2512E+00	3.5170E−02	1.8941E+00	3.7010E−02	1.6096E+00
56	3.1747E−02	4.2522E+00	3.2811E−02	2.2697E+00	3.3988E−02	1.9096E+00	3.5757E−02	1.6227E+00
57	3.0802E−02	4.2885E+00	3.1737E−02	2.2880E+00	3.2864E−02	1.9249E+00	3.4567E−02	1.6357E+00
58	2.9900E−02	4.3242E+00	3.0715E−02	2.3059E+00	3.1796E−02	1.9399E+00	3.3436E−02	1.6483E+00
59	2.9038E−02	4.3594E+00	2.9743E−02	2.3235E+00	3.0779E−02	1.9546E+00	3.2360E−02	1.6608E+00
60	2.8214E−02	4.3940E+00	2.8816E−02	2.3408E+00	2.9811E−02	1.9691E+00	3.1336E−02	1.6730E+00

Co; [Z=27]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	6.3345E+00	2.4885E−01	7.1396E+00	1.5015E−01	7.4634E+00	1.2860E−01	7.8891E+00	1.1082E−01
1	5.3351E+00	2.9049E−01	6.0630E+00	1.7408E−01	6.3475E+00	1.4890E−01	6.7232E+00	1.2806E−01
2	3.7285E+00	3.9756E−01	4.3138E+00	2.3464E−01	4.5284E+00	2.0021E−01	4.8089E+00	1.7179E−01
3	2.6415E+00	5.2758E−01	3.1086E+00	3.0694E−01	3.2710E+00	2.6136E−01	3.4795E+00	2.2392E−01
4	1.9824E+00	6.5400E−01	2.3650E+00	3.7653E−01	2.4932E+00	3.2012E−01	2.6556E+00	2.7398E−01
5	1.5471E+00	7.7496E−01	1.8668E+00	4.4268E−01	1.9711E+00	3.7592E−01	2.1018E+00	3.2149E−01
6	1.2354E+00	8.9524E−01	1.5051E+00	5.0805E−01	1.5912E+00	4.3102E−01	1.6982E+00	3.6837E−01
7	1.0023E+00	1.0180E+00	1.2302E+00	5.7437E−01	1.3019E+00	4.8688E−01	1.3905E+00	4.1586E−01
8	8.2457E−01	1.1438E+00	1.0168E+00	6.4212E−01	1.0768E+00	5.4390E−01	1.1505E+00	4.6433E−01
9	6.8764E−01	1.2718E+00	8.4926E−01	7.1097E−01	8.9961E−01	6.0184E−01	9.6144E−01	5.1357E−01
10	5.8130E−01	1.4001E+00	7.1684E−01	7.8012E−01	7.5926E−01	6.6003E−01	8.1138E−01	5.6302E−01
11	4.9779E−01	1.5266E+00	6.1133E−01	8.4855E−01	6.4721E−01	7.1764E−01	6.9143E−01	6.1200E−01
12	4.3188E−01	1.6497E+00	5.2710E−01	9.1542E−01	5.5763E−01	7.7396E−01	5.9543E−01	6.5989E−01
13	3.7895E−01	1.7679E+00	4.5911E−01	9.7988E−01	4.8525E−01	8.2829E−01	5.1782E−01	7.0611E−01
14	3.3570E−01	1.8803E+00	4.0361E−01	1.0414E+00	4.2617E−01	8.8015E−01	4.5445E−01	7.5024E−01
15	2.9989E−01	1.9867E+00	3.5789E−01	1.0996E+00	3.7752E−01	9.2927E−01	4.0230E−01	7.9204E−01
16	2.6980E−01	2.0873E+00	3.1984E−01	1.1545E+00	3.3707E−01	9.7557E−01	3.5896E−01	8.3144E−01
17	2.4420E−01	2.1825E+00	2.8782E−01	1.2062E+00	3.0308E−01	1.0191E+00	3.2258E−01	8.6846E−01
18	2.2220E−01	2.2726E+00	2.6061E−01	1.2548E+00	2.7424E−01	1.0600E+00	2.9174E−01	9.0325E−01
19	2.0311E−01	2.3582E+00	2.3727E−01	1.3006E+00	2.4954E−01	1.0985E+00	2.6535E−01	9.3600E−01
20	1.8642E−01	2.4399E+00	2.1707E−01	1.3439E+00	2.2819E−01	1.1350E+00	2.4257E−01	9.6692E−01
21	1.7175E−01	2.5181E+00	1.9945E−01	1.3851E+00	2.0959E−01	1.1695E+00	2.2274E−01	9.9625E−01
22	1.5878E−01	2.5933E+00	1.8397E−01	1.4244E+00	1.9327E−01	1.2025E+00	2.0535E−01	1.0242E+00
23	1.4725E−01	2.6658E+00	1.7028E−01	1.4620E+00	1.7884E−01	1.2340E+00	1.8999E−01	1.0509E+00
24	1.3698E−01	2.7359E+00	1.5810E−01	1.4983E+00	1.6601E−01	1.2644E+00	1.7634E−01	1.0767E+00
25	1.2778E−01	2.8039E+00	1.4722E−01	1.5333E+00	1.5455E−01	1.2938E+00	1.6413E−01	1.1015E+00
26	1.1951E−01	2.8701E+00	1.3744E−01	1.5674E+00	1.4425E−01	1.3222E+00	1.5317E−01	1.1256E+00
27	1.1206E−01	2.9345E+00	1.2861E−01	1.6004E+00	1.3496E−01	1.3499E+00	1.4328E−01	1.1490E+00
28	1.0532E−01	2.9974E+00	1.2062E−01	1.6327E+00	1.2654E−01	1.3769E+00	1.3432E−01	1.1719E+00
29	9.9215E−02	3.0588E+00	1.1335E−01	1.6642E+00	1.1888E−01	1.4033E+00	1.2617E−01	1.1942E+00
30	9.3657E−02	3.1190E+00	1.0673E−01	1.6951E+00	1.1190E−01	1.4291E+00	1.1874E−01	1.2161E+00
31	8.8586E−02	3.1778E+00	1.0067E−01	1.7254E+00	1.0551E−01	1.4544E+00	1.1193E−01	1.2375E+00
32	8.3946E−02	3.2355E+00	9.5111E−02	1.7550E+00	9.9652E−02	1.4793E+00	1.0569E−01	1.2586E+00
33	7.9689E−02	3.2921E+00	9.0001E−02	1.7842E+00	9.4262E−02	1.5037E+00	9.9943E−02	1.2793E+00
34	7.5773E−02	3.3475E+00	8.5292E−02	1.8127E+00	8.9294E−02	1.5276E+00	9.4648E−02	1.2995E+00
35	7.2162E−02	3.4020E+00	8.0942E−02	1.8408E+00	8.4703E−02	1.5512E+00	8.9755E−02	1.3195E+00
36	6.8823E−02	3.4554E+00	7.6917E−02	1.8684E+00	8.0454E−02	1.5743E+00	8.5226E−02	1.3391E+00
37	6.5729E−02	3.5079E+00	7.3183E−02	1.8955E+00	7.6514E−02	1.5970E+00	8.1025E−02	1.3583E+00
38	6.2854E−02	3.5594E+00	6.9715E−02	1.9222E+00	7.2852E−02	1.6193E+00	7.7122E−02	1.3773E+00
39	6.0178E−02	3.6100E+00	6.6487E−02	1.9483E+00	6.9445E−02	1.6413E+00	7.3490E−02	1.3959E+00
40	5.7682E−02	3.6598E+00	6.3477E−02	1.9740E+00	6.6269E−02	1.6628E+00	7.0105E−02	1.4141E+00
41	5.5350E−02	3.7087E+00	6.0667E−02	1.9993E+00	6.3304E−02	1.6840E+00	6.6945E−02	1.4321E+00
42	5.3165E−02	3.7567E+00	5.8040E−02	2.0240E+00	6.0532E−02	1.7048E+00	6.3992E−02	1.4497E+00
43	5.1116E−02	3.8039E+00	5.5580E−02	2.0484E+00	5.7938E−02	1.7252E+00	6.1227E−02	1.4670E+00
44	4.9190E−02	3.8503E+00	5.3272E−02	2.0723E+00	5.5505E−02	1.7452E+00	5.8636E−02	1.4840E+00
45	4.7377E−02	3.8959E+00	5.1106E−02	2.0958E+00	5.3222E−02	1.7649E+00	5.6205E−02	1.5007E+00
46	4.5668E−02	3.9408E+00	4.9069E−02	2.1188E+00	5.1076E−02	1.7843E+00	5.3921E−02	1.5171E+00
47	4.4056E−02	3.9849E+00	4.7152E−02	2.1415E+00	4.9057E−02	1.8032E+00	5.1772E−02	1.5332E+00
48	4.2531E−02	4.0283E+00	4.5345E−02	2.1637E+00	4.7156E−02	1.8219E+00	4.9749E−02	1.5490E+00
49	4.1088E−02	4.0710E+00	4.3641E−02	2.1856E+00	4.5362E−02	1.8402E+00	4.7842E−02	1.5645E+00
50	3.9720E−02	4.1130E+00	4.2031E−02	2.2070E+00	4.3670E−02	1.8582E+00	4.6042E−02	1.5797E+00
51	3.8423E−02	4.1543E+00	4.0509E−02	2.2281E+00	4.2070E−02	1.8758E+00	4.4342E−02	1.5947E+00
52	3.7191E−02	4.1950E+00	3.9068E−02	2.2488E+00	4.0557E−02	1.8931E+00	4.2734E−02	1.6094E+00
53	3.6020E−02	4.2351E+00	3.7703E−02	2.2691E+00	3.9124E−02	1.9102E+00	4.1212E−02	1.6238E+00
54	3.4905E−02	4.2745E+00	3.6409E−02	2.2891E+00	3.7766E−02	1.9269E+00	3.9771E−02	1.6380E+00
55	3.3844E−02	4.3134E+00	3.5181E−02	2.3087E+00	3.6478E−02	1.9433E+00	3.8404E−02	1.6519E+00
56	3.2832E−02	4.3516E+00	3.4014E−02	2.3280E+00	3.5254E−02	1.9595E+00	3.7106E−02	1.6655E+00
57	3.1866E−02	4.3893E+00	3.2905E−02	2.3470E+00	3.4092E−02	1.9753E+00	3.5874E−02	1.6790E+00
58	3.0944E−02	4.4265E+00	3.1849E−02	2.3656E+00	3.2987E−02	1.9909E+00	3.4702E−02	1.6922E+00
59	3.0063E−02	4.4631E+00	3.0844E−02	2.3840E+00	3.1935E−02	2.0062E+00	3.3587E−02	1.7052E+00
60	2.9220E−02	4.4991E+00	2.9886E−02	2.4020E+00	3.0933E−02	2.0213E+00	3.2526E−02	1.7179E+00

Ni; [Z=28]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	6.0281E+00	2.5677E−01	6.8220E+00	1.5635E−01	7.1366E+00	1.3413E−01	7.5470E+00	1.1574E−01
1	5.1251E+00	2.9736E−01	5.8484E+00	1.7981E−01	6.1275E+00	1.5405E−01	6.4937E+00	1.3265E−01
2	3.6392E+00	4.0197E−01	4.2290E+00	2.3932E−01	4.4432E+00	2.0451E−01	4.7213E+00	1.7568E−01
3	2.6058E+00	5.3016E−01	3.0820E+00	3.1095E−01	3.2460E+00	2.6513E−01	3.4555E+00	2.2740E−01
4	1.9688E+00	6.5582E−01	2.3620E+00	3.8040E−01	2.4927E+00	3.2383E−01	2.6572E+00	2.7742E−01
5	1.5449E+00	7.7628E−01	1.8757E+00	4.4652E−01	1.9828E+00	3.7964E−01	2.1161E+00	3.2496E−01
6	1.2398E+00	8.9586E−01	1.5207E+00	5.1173E−01	1.6097E+00	4.3464E−01	1.7196E+00	3.7176E−01
7	1.0103E+00	1.0177E+00	1.2494E+00	5.7776E−01	1.3241E+00	4.9028E−01	1.4155E+00	4.1909E−01
8	8.3425E−01	1.1426E+00	1.0374E+00	6.4522E−01	1.1002E+00	5.4708E−01	1.1769E+00	4.6738E−01
9	6.9771E−01	1.2701E+00	8.6981E−01	7.1392E−01	9.2287E−01	6.0491E−01	9.8746E−01	5.1653E−01
10	5.9103E−01	1.3986E+00	7.3638E−01	7.8322E−01	7.8131E−01	6.6323E−01	8.3601E−01	5.6611E−01
11	5.0685E−01	1.5261E+00	6.2937E−01	8.5224E−01	6.6755E−01	7.2135E−01	7.1412E−01	6.1552E−01
12	4.4017E−01	1.6510E+00	5.4343E−01	9.2013E−01	5.7601E−01	7.7854E−01	6.1592E−01	6.6415E−01
13	3.8650E−01	1.7717E+00	4.7371E−01	9.8608E−01	5.0167E−01	8.3413E−01	5.3609E−01	7.1145E−01
14	3.4263E−01	1.8873E+00	4.1661E−01	1.0495E+00	4.4074E−01	8.8761E−01	4.7065E−01	7.5696E−01
15	3.0628E−01	1.9973E+00	3.6944E−01	1.1099E+00	3.9043E−01	9.3861E−01	4.1661E−01	8.0038E−01
16	2.7575E−01	2.1017E+00	3.3011E−01	1.1672E+00	3.4850E−01	9.8696E−01	3.7160E−01	8.4155E−01
17	2.4977E−01	2.2007E+00	2.9700E−01	1.2214E+00	3.1324E−01	1.0326E+00	3.3378E−01	8.8043E−01
18	2.2743E−01	2.2946E+00	2.6884E−01	1.2725E+00	2.8330E−01	1.0757E+00	3.0170E−01	9.1708E−01
19	2.0803E−01	2.3840E+00	2.4469E−01	1.3207E+00	2.5767E−01	1.1163E+00	2.7426E−01	9.5164E−01
20	1.9106E−01	2.4692E+00	2.2379E−01	1.3664E+00	2.3552E−01	1.1547E+00	2.5058E−01	9.8428E−01
21	1.7611E−01	2.5508E+00	2.0557E−01	1.4097E+00	2.1624E−01	1.1912E+00	2.2999E−01	1.0152E+00
22	1.6288E−01	2.6291E+00	1.8958E−01	1.4510E+00	1.9933E−01	1.2258E+00	2.1195E−01	1.0446E+00
23	1.5111E−01	2.7046E+00	1.7544E−01	1.4904E+00	1.8441E−01	1.2589E+00	1.9603E−01	1.0727E+00
24	1.4060E−01	2.7775E+00	1.6287E−01	1.5283E+00	1.7115E−01	1.2907E+00	1.8190E−01	1.0996E+00
25	1.3117E−01	2.8482E+00	1.5164E−01	1.5648E+00	1.5931E−01	1.3213E+00	1.6929E−01	1.1255E+00
26	1.2270E−01	2.9168E+00	1.4156E−01	1.6002E+00	1.4869E−01	1.3509E+00	1.5797E−01	1.1506E+00
27	1.1506E−01	2.9835E+00	1.3247E−01	1.6345E+00	1.3911E−01	1.3796E+00	1.4776E−01	1.1749E+00
28	1.0814E−01	3.0486E+00	1.2424E−01	1.6679E+00	1.3043E−01	1.4075E+00	1.3853E−01	1.1985E+00
29	1.0187E−01	3.1121E+00	1.1677E−01	1.7004E+00	1.2255E−01	1.4347E+00	1.3013E−01	1.2215E+00
30	9.6158E−02	3.1742E+00	1.0995E−01	1.7322E+00	1.1537E−01	1.4613E+00	1.2248E−01	1.2441E+00
31	9.0948E−02	3.2349E+00	1.0372E−01	1.7633E+00	1.0880E−01	1.4874E+00	1.1548E−01	1.2661E+00
32	8.6182E−02	3.2944E+00	9.8012E−02	1.7938E+00	1.0277E−01	1.5129E+00	1.0906E−01	1.2877E+00
33	8.1810E−02	3.3527E+00	9.2761E−02	1.8237E+00	9.7232E−02	1.5380E+00	1.0315E−01	1.3089E+00
34	7.7790E−02	3.4098E+00	8.7923E−02	1.8531E+00	9.2125E−02	1.5625E+00	9.7710E−02	1.3298E+00
35	7.4084E−02	3.4659E+00	8.3454E−02	1.8819E+00	8.7407E−02	1.5867E+00	9.2679E−02	1.3502E+00
36	7.0660E−02	3.5210E+00	7.9319E−02	1.9102E+00	8.3040E−02	1.6104E+00	8.8023E−02	1.3703E+00
37	6.7488E−02	3.5750E+00	7.5484E−02	1.9381E+00	7.8990E−02	1.6337E+00	8.3703E−02	1.3901E+00
38	6.4543E−02	3.6281E+00	7.1921E−02	1.9654E+00	7.5226E−02	1.6566E+00	7.9689E−02	1.4095E+00
39	6.1804E−02	3.6802E+00	6.8605E−02	1.9923E+00	7.1723E−02	1.6791E+00	7.5953E−02	1.4286E+00
40	5.9249E−02	3.7315E+00	6.5513E−02	2.0187E+00	6.8458E−02	1.7013E+00	7.2470E−02	1.4473E+00
41	5.6864E−02	3.7818E+00	6.2626E−02	2.0446E+00	6.5409E−02	1.7230E+00	6.9218E−02	1.4658E+00
42	5.4630E−02	3.8314E+00	5.9926E−02	2.0701E+00	6.2557E−02	1.7444E+00	6.6178E−02	1.4839E+00
43	5.2537E−02	3.8800E+00	5.7397E−02	2.0952E+00	5.9887E−02	1.7654E+00	6.3331E−02	1.5017E+00
44	5.0570E−02	3.9279E+00	5.5025E−02	2.1198E+00	5.7384E−02	1.7861E+00	6.0662E−02	1.5192E+00
45	4.8720E−02	3.9750E+00	5.2798E−02	2.1440E+00	5.5034E−02	1.8064E+00	5.8157E−02	1.5364E+00
46	4.6976E−02	4.0213E+00	5.0703E−02	2.1678E+00	5.2824E−02	1.8263E+00	5.5802E−02	1.5533E+00
47	4.5331E−02	4.0669E+00	4.8731E−02	2.1912E+00	5.0745E−02	1.8459E+00	5.3587E−02	1.5699E+00
48	4.3776E−02	4.1118E+00	4.6872E−02	2.2142E+00	4.8785E−02	1.8651E+00	5.1501E−02	1.5863E+00
49	4.2305E−02	4.1559E+00	4.5118E−02	2.2367E+00	4.6937E−02	1.8841E+00	4.9533E−02	1.6023E+00
50	4.0911E−02	4.1994E+00	4.3461E−02	2.2589E+00	4.5192E−02	1.9026E+00	4.7675E−02	1.6181E+00
51	3.9589E−02	4.2422E+00	4.1894E−02	2.2807E+00	4.3542E−02	1.9209E+00	4.5921E−02	1.6335E+00
52	3.8333E−02	4.2843E+00	4.0410E−02	2.3021E+00	4.1982E−02	1.9389E+00	4.4261E−02	1.6487E+00
53	3.7139E−02	4.3258E+00	3.9005E−02	2.3232E+00	4.0504E−02	1.9565E+00	4.2689E−02	1.6637E+00
54	3.6003E−02	4.3667E+00	3.7671E−02	2.3439E+00	3.9102E−02	1.9738E+00	4.1200E−02	1.6784E+00
55	3.4921E−02	4.4069E+00	3.6406E−02	2.3642E+00	3.7773E−02	1.9909E+00	3.9787E−02	1.6928E+00
56	3.3889E−02	4.4466E+00	3.5203E−02	2.3843E+00	3.6510E−02	2.0076E+00	3.8446E−02	1.7070E+00
57	3.2904E−02	4.4857E+00	3.4059E−02	2.4039E+00	3.5310E−02	2.0241E+00	3.7172E−02	1.7209E+00
58	3.1964E−02	4.5243E+00	3.2971E−02	2.4233E+00	3.4169E−02	2.0403E+00	3.5961E−02	1.7346E+00
59	3.1065E−02	4.5623E+00	3.1934E−02	2.4423E+00	3.3082E−02	2.0562E+00	3.4808E−02	1.7481E+00
60	3.0205E−02	4.5997E+00	3.0946E−02	2.4611E+00	3.2046E−02	2.0719E+00	3.3710E−02	1.7614E+00

Cu; [Z=29]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	5.0642E+00	2.7713E−01	5.7822E+00	1.7072E−01	6.0572E+00	1.4676E−01	6.4098E+00	1.2687E−01
1	4.3690E+00	3.1776E−01	5.0303E+00	1.9423E−01	5.2779E+00	1.6671E−01	5.5985E+00	1.4378E−01
2	3.2591E+00	4.1339E−01	3.8162E+00	2.4878E−01	4.0147E+00	2.1298E−01	4.2702E+00	1.8320E−01
3	2.4617E+00	5.2313E−01	2.9296E+00	3.1045E−01	3.0891E+00	2.6522E−01	3.2913E+00	2.2779E−01
4	1.9223E+00	6.3324E−01	2.3205E+00	3.7172E−01	2.4517E+00	3.1705E−01	2.6158E+00	2.7199E−01
5	1.5337E+00	7.4484E−01	1.8750E+00	4.3330E−01	1.9844E+00	3.6908E−01	2.1198E+00	3.1633E−01
6	1.2413E+00	8.6014E−01	1.5344E+00	4.9643E−01	1.6264E+00	4.2236E−01	1.7392E+00	3.6170E−01
7	1.0166E+00	9.8006E−01	1.2680E+00	5.6165E−01	1.3457E+00	4.7734E−01	1.4403E+00	4.0848E−01
8	8.4223E−01	1.1043E+00	1.0572E+00	6.2890E−01	1.1230E+00	5.3399E−01	1.2027E+00	4.5666E−01
9	7.0608E−01	1.2319E+00	8.8921E−01	6.9773E−01	9.4508E−01	5.9194E−01	1.0125E+00	5.0593E−01
10	5.9918E−01	1.3609E+00	7.5470E−01	7.6744E−01	8.0223E−01	6.5063E−01	8.5955E−01	5.5581E−01
11	5.1455E−01	1.4896E+00	6.4631E−01	8.3716E−01	6.8684E−01	7.0934E−01	7.3579E−01	6.0574E−01
12	4.4731E−01	1.6163E+00	5.5884E−01	9.0608E−01	5.9352E−01	7.6741E−01	6.3556E−01	6.5512E−01
13	3.9310E−01	1.7394E+00	4.8760E−01	9.7340E−01	5.1742E−01	8.2416E−01	5.5374E−01	7.0341E−01
14	3.4875E−01	1.8578E+00	4.2908E−01	1.0385E+00	4.5484E−01	8.7907E−01	4.8642E−01	7.5015E−01
15	3.1200E−01	1.9710E+00	3.8062E−01	1.1009E+00	4.0302E−01	9.3174E−01	4.3066E−01	7.9500E−01
16	2.8112E−01	2.0788E+00	3.4014E−01	1.1603E+00	3.5975E−01	9.8194E−01	3.8412E−01	8.3775E−01
17	2.5485E−01	2.1813E+00	3.0601E−01	1.2168E+00	3.2330E−01	1.0296E+00	3.4494E−01	8.7832E−01
18	2.3224E−01	2.2788E+00	2.7697E−01	1.2702E+00	2.9234E−01	1.0747E+00	3.1169E−01	9.1671E−01
19	2.1261E−01	2.3717E+00	2.5205E−01	1.3207E+00	2.6580E−01	1.1173E+00	2.8322E−01	9.5299E−01
20	1.9541E−01	2.4603E+00	2.3048E−01	1.3686E+00	2.4288E−01	1.1576E+00	2.5866E−01	9.8731E−01
21	1.8024E−01	2.5452E+00	2.1169E−01	1.4141E+00	2.2294E−01	1.1959E+00	2.3731E−01	1.0198E+00
22	1.6679E−01	2.6267E+00	1.9518E−01	1.4574E+00	2.0545E−01	1.2323E+00	2.1862E−01	1.0507E+00
23	1.5482E−01	2.7051E+00	1.8060E−01	1.4987E+00	1.9002E−01	1.2670E+00	2.0214E−01	1.0802E+00
24	1.4411E−01	2.7809E+00	1.6765E−01	1.5384E+00	1.7633E−01	1.3003E+00	1.8752E−01	1.1084E+00
25	1.3449E−01	2.8542E+00	1.5608E−01	1.5765E+00	1.6411E−01	1.3322E+00	1.7449E−01	1.1355E+00
26	1.2583E−01	2.9254E+00	1.4570E−01	1.6133E+00	1.5315E−01	1.3630E+00	1.6280E−01	1.1616E+00
27	1.1802E−01	2.9946E+00	1.3634E−01	1.6489E+00	1.4327E−01	1.3929E+00	1.5227E−01	1.1869E+00
28	1.1093E−01	3.0619E+00	1.2787E−01	1.6835E+00	1.3433E−01	1.4218E+00	1.4275E−01	1.2114E+00
29	1.0451E−01	3.1276E+00	1.2018E−01	1.7172E+00	1.2622E−01	1.4500E+00	1.3410E−01	1.2352E+00
30	9.8651E−02	3.1918E+00	1.1317E−01	1.7500E+00	1.1883E−01	1.4775E+00	1.2622E−01	1.2585E+00
31	9.3307E−02	3.2545E+00	1.0677E−01	1.7821E+00	1.1207E−01	1.5043E+00	1.1902E−01	1.2812E+00
32	8.8417E−02	3.3159E+00	1.0090E−01	1.8135E+00	1.0588E−01	1.5306E+00	1.1242E−01	1.3035E+00
33	8.3931E−02	3.3760E+00	9.5503E−02	1.8443E+00	1.0018E−01	1.5564E+00	1.0634E−01	1.3253E+00
34	7.9807E−02	3.4350E+00	9.0533E−02	1.8745E+00	9.4933E−02	1.5816E+00	1.0075E−01	1.3466E+00
35	7.6006E−02	3.4928E+00	8.5944E−02	1.9041E+00	9.0086E−02	1.6064E+00	9.5577E−02	1.3676E+00
36	7.2494E−02	3.5495E+00	8.1697E−02	1.9332E+00	8.5600E−02	1.6307E+00	9.0792E−02	1.3882E+00
37	6.9242E−02	3.6052E+00	7.7760E−02	1.9617E+00	8.1439E−02	1.6547E+00	8.6353E−02	1.4085E+00
38	6.6225E−02	3.6599E+00	7.4102E−02	1.9898E+00	7.7573E−02	1.6782E+00	8.2228E−02	1.4284E+00
39	6.3420E−02	3.7136E+00	7.0697E−02	2.0174E+00	7.3975E−02	1.7013E+00	7.8388E−02	1.4480E+00
40	6.0805E−02	3.7664E+00	6.7523E−02	2.0445E+00	7.0620E−02	1.7240E+00	7.4808E−02	1.4673E+00
41	5.8365E−02	3.8183E+00	6.4559E−02	2.0712E+00	6.7487E−02	1.7464E+00	7.1464E−02	1.4862E+00
42	5.6081E−02	3.8693E+00	6.1786E−02	2.0974E+00	6.4557E−02	1.7683E+00	6.8338E−02	1.5048E+00
43	5.3942E−02	3.9195E+00	5.9190E−02	2.1232E+00	6.1813E−02	1.7899E+00	6.5410E−02	1.5231E+00
44	5.1933E−02	3.9689E+00	5.6754E−02	2.1485E+00	5.9239E−02	1.8112E+00	6.2664E−02	1.5411E+00
45	5.0044E−02	4.0175E+00	5.4466E−02	2.1734E+00	5.6823E−02	1.8320E+00	6.0086E−02	1.5588E+00
46	4.8265E−02	4.0653E+00	5.2315E−02	2.1979E+00	5.4550E−02	1.8526E+00	5.7663E−02	1.5762E+00
47	4.6586E−02	4.1123E+00	5.0289E−02	2.2220E+00	5.2411E−02	1.8728E+00	5.5383E−02	1.5934E+00
48	4.5001E−02	4.1586E+00	4.8379E−02	2.2456E+00	5.0396E−02	1.8926E+00	5.3234E−02	1.6102E+00
49	4.3501E−02	4.2042E+00	4.6576E−02	2.2689E+00	4.8494E−02	1.9121E+00	5.1207E−02	1.6267E+00
50	4.2081E−02	4.2491E+00	4.4873E−02	2.2918E+00	4.6698E−02	1.9313E+00	4.9294E−02	1.6430E+00
51	4.0734E−02	4.2934E+00	4.3262E−02	2.3143E+00	4.5000E−02	1.9501E+00	4.7485E−02	1.6589E+00
52	3.9454E−02	4.3369E+00	4.1736E−02	2.3365E+00	4.3393E−02	1.9687E+00	4.5774E−02	1.6747E+00
53	3.8239E−02	4.3799E+00	4.0291E−02	2.3582E+00	4.1870E−02	1.9869E+00	4.4153E−02	1.6901E+00
54	3.7082E−02	4.4222E+00	3.8919E−02	2.3796E+00	4.0427E−02	2.0048E+00	4.2618E−02	1.7053E+00
55	3.5979E−02	4.4639E+00	3.7617E−02	2.4007E+00	3.9057E−02	2.0225E+00	4.1161E−02	1.7202E+00
56	3.4929E−02	4.5049E+00	3.6379E−02	2.4214E+00	3.7755E−02	2.0398E+00	3.9777E−02	1.7349E+00
57	3.3926E−02	4.5455E+00	3.5202E−02	2.4418E+00	3.6518E−02	2.0568E+00	3.8462E−02	1.7494E+00
58	3.2969E−02	4.5854E+00	3.4082E−02	2.4618E+00	3.5341E−02	2.0736E+00	3.7212E−02	1.7636E+00
59	3.2053E−02	4.6248E+00	3.3014E−02	2.4815E+00	3.4221E−02	2.0901E+00	3.6022E−02	1.7775E+00
60	3.1178E−02	4.6636E+00	3.1996E−02	2.5010E+00	3.3153E−02	2.1064E+00	3.4888E−02	1.7913E+00

Zn; [Z=30]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	5.4874E+00	2.7128E−01	6.2593E+00	1.6820E−01	6.5575E+00	1.4480E−01	6.9412E+00	1.2528E−01
1	4.7400E+00	3.0996E−01	5.4522E+00	1.9082E−01	5.7212E+00	1.6402E−01	6.0698E+00	1.4161E−01
2	3.4593E+00	4.1012E−01	4.0540E+00	2.4844E−01	4.2664E+00	2.1298E−01	4.5393E+00	1.8338E−01
3	2.5248E+00	5.3472E−01	3.0146E+00	3.1876E−01	3.1811E+00	2.7259E−01	3.3912E+00	2.3430E−01
4	1.9313E+00	6.5860E−01	2.3419E+00	3.8781E−01	2.4767E+00	3.3103E−01	2.6444E+00	2.8416E−01
5	1.5308E+00	7.7778E−01	1.8807E+00	4.5373E−01	1.9925E+00	3.8675E−01	2.1302E+00	3.3166E−01
6	1.2397E+00	8.9576E−01	1.5405E+00	5.1854E−01	1.6347E+00	4.4147E−01	1.7496E+00	3.7827E−01
7	1.0187E+00	1.0156E+00	1.2779E+00	5.8393E−01	1.3579E+00	4.9663E−01	1.4546E+00	4.2522E−01
8	8.4717E−01	1.1385E+00	1.0703E+00	6.5067E−01	1.1385E+00	5.5288E−01	1.2205E+00	4.7308E−01
9	7.1254E−01	1.2644E+00	9.0415E−01	7.1882E−01	9.6237E−01	6.1028E−01	1.0322E+00	5.2189E−01
10	6.0616E−01	1.3923E+00	7.7017E−01	7.8798E−01	8.2000E−01	6.6852E−01	8.7964E−01	5.7141E−01
11	5.2145E−01	1.5206E+00	6.6144E−01	8.5750E−01	7.0417E−01	7.2708E−01	7.5534E−01	6.2120E−01
12	4.5381E−01	1.6476E+00	5.7310E−01	9.2664E−01	6.0983E−01	7.8534E−01	6.5395E−01	6.7075E−01
13	3.9913E−01	1.7719E+00	5.0075E−01	9.9466E−01	5.3243E−01	8.4269E−01	5.7064E−01	7.1955E−01
14	3.5433E−01	1.8924E+00	4.4103E−01	1.0609E+00	4.6848E−01	8.9858E−01	5.0175E−01	7.6713E−01
15	3.1720E−01	2.0082E+00	3.9142E−01	1.1249E+00	4.1531E−01	9.5258E−01	4.4446E−01	8.1313E−01
16	2.8601E−01	2.1189E+00	3.4988E−01	1.1862E+00	3.7079E−01	1.0044E+00	3.9648E−01	8.5726E−01
17	2.5948E−01	2.2247E+00	3.1479E−01	1.2447E+00	3.3321E−01	1.0538E+00	3.5601E−01	8.9938E−01
18	2.3666E−01	2.3255E+00	2.8491E−01	1.3003E+00	3.0125E−01	1.1008E+00	3.2161E−01	9.3941E−01
19	2.1683E−01	2.4217E+00	2.5925E−01	1.3532E+00	2.7384E−01	1.1454E+00	2.9214E−01	9.7739E−01
20	1.9945E−01	2.5136E+00	2.3705E−01	1.4033E+00	2.5016E−01	1.1877E+00	2.6671E−01	1.0134E+00
21	1.8411E−01	2.6016E+00	2.1769E−01	1.4509E+00	2.2955E−01	1.2278E+00	2.4460E−01	1.0475E+00
22	1.7049E−01	2.6862E+00	2.0069E−01	1.4963E+00	2.1150E−01	1.2660E+00	2.2525E−01	1.0800E+00
23	1.5834E−01	2.7675E+00	1.8568E−01	1.5395E+00	1.9557E−01	1.3024E+00	2.0821E−01	1.1109E+00
24	1.4746E−01	2.8461E+00	1.7235E−01	1.5810E+00	1.8144E−01	1.3372E+00	1.9310E−01	1.1405E+00
25	1.3768E−01	2.9221E+00	1.6045E−01	1.6208E+00	1.6884E−01	1.3706E+00	1.7964E−01	1.1688E+00
26	1.2886E−01	2.9958E+00	1.4977E−01	1.6591E+00	1.5755E−01	1.4027E+00	1.6758E−01	1.1960E+00
27	1.2088E−01	3.0673E+00	1.4014E−01	1.6961E+00	1.4738E−01	1.4337E+00	1.5673E−01	1.2223E+00
28	1.1365E−01	3.1370E+00	1.3144E−01	1.7320E+00	1.3818E−01	1.4638E+00	1.4692E−01	1.2477E+00
29	1.0707E−01	3.2049E+00	1.2353E−01	1.7668E+00	1.2984E−01	1.4929E+00	1.3802E−01	1.2724E+00
30	1.0108E−01	3.2711E+00	1.1633E−01	1.8008E+00	1.2224E−01	1.5213E+00	1.2991E−01	1.2964E+00
31	9.5606E−02	3.3358E+00	1.0976E−01	1.8339E+00	1.1529E−01	1.5490E+00	1.2251E−01	1.3199E+00
32	9.0596E−02	3.3991E+00	1.0373E−01	1.8662E+00	1.0893E−01	1.5761E+00	1.1572E−01	1.3428E+00
33	8.5998E−02	3.4611E+00	9.8190E−02	1.8978E+00	1.0308E−01	1.6025E+00	1.0948E−01	1.3652E+00
34	8.1770E−02	3.5219E+00	9.3090E−02	1.9288E+00	9.7689E−02	1.6285E+00	1.0373E−01	1.3871E+00
35	7.7874E−02	3.5814E+00	8.8381E−02	1.9592E+00	9.2714E−02	1.6539E+00	9.8425E−02	1.4087E+00
36	7.4275E−02	3.6398E+00	8.4024E−02	1.9891E+00	8.8110E−02	1.6789E+00	9.3512E−02	1.4298E+00
37	7.0943E−02	3.6971E+00	7.9985E−02	2.0184E+00	8.3840E−02	1.7034E+00	8.8955E−02	1.4506E+00
38	6.7853E−02	3.7534E+00	7.6233E−02	2.0472E+00	7.9873E−02	1.7275E+00	8.4720E−02	1.4710E+00
39	6.4980E−02	3.8087E+00	7.2741E−02	2.0755E+00	7.6181E−02	1.7512E+00	8.0779E−02	1.4911E+00
40	6.2305E−02	3.8631E+00	6.9486E−02	2.1033E+00	7.2738E−02	1.7745E+00	7.7103E−02	1.5108E+00
41	5.9809E−02	3.9165E+00	6.6446E−02	2.1306E+00	6.9523E−02	1.7974E+00	7.3671E−02	1.5302E+00
42	5.7475E−02	3.9690E+00	6.3603E−02	2.1575E+00	6.6516E−02	1.8199E+00	7.0460E−02	1.5493E+00
43	5.5289E−02	4.0207E+00	6.0940E−02	2.1840E+00	6.3700E−02	1.8421E+00	6.7453E−02	1.5681E+00
44	5.3238E−02	4.0715E+00	5.8442E−02	2.2100E+00	6.1058E−02	1.8639E+00	6.4633E−02	1.5865E+00
45	5.1311E−02	4.1215E+00	5.6096E−02	2.2356E+00	5.8577E−02	1.8853E+00	6.1985E−02	1.6047E+00
46	4.9496E−02	4.1708E+00	5.3889E−02	2.2608E+00	5.6244E−02	1.9064E+00	5.9495E−02	1.6226E+00
47	4.7785E−02	4.2192E+00	5.1811E−02	2.2855E+00	5.4047E−02	1.9272E+00	5.7151E−02	1.6402E+00
48	4.6170E−02	4.2670E+00	4.9851E−02	2.3099E+00	5.1977E−02	1.9476E+00	5.4942E−02	1.6575E+00
49	4.4642E−02	4.3140E+00	4.8002E−02	2.3338E+00	5.0023E−02	1.9677E+00	5.2857E−02	1.6745E+00
50	4.3196E−02	4.3603E+00	4.6254E−02	2.3574E+00	4.8177E−02	1.9874E+00	5.0889E−02	1.6913E+00
51	4.1825E−02	4.4059E+00	4.4600E−02	2.3806E+00	4.6432E−02	2.0069E+00	4.9028E−02	1.7077E+00
52	4.0524E−02	4.4509E+00	4.3034E−02	2.4034E+00	4.4780E−02	2.0260E+00	4.7268E−02	1.7239E+00
53	3.9287E−02	4.4952E+00	4.1550E−02	2.4258E+00	4.3215E−02	2.0448E+00	4.5600E−02	1.7399E+00
54	3.8111E−02	4.5388E+00	4.0142E−02	2.4479E+00	4.1730E−02	2.0633E+00	4.4019E−02	1.7555E+00
55	3.6990E−02	4.5819E+00	3.8805E−02	2.4697E+00	4.0321E−02	2.0815E+00	4.2518E−02	1.7709E+00
56	3.5922E−02	4.6244E+00	3.7533E−02	2.4911E+00	3.8982E−02	2.0994E+00	4.1093E−02	1.7861E+00
57	3.4903E−02	4.6662E+00	3.6324E−02	2.5121E+00	3.7710E−02	2.1170E+00	3.9739E−02	1.8010E+00
58	3.3930E−02	4.7075E+00	3.5173E−02	2.5329E+00	3.6498E−02	2.1343E+00	3.8451E−02	1.8157E+00
59	3.2999E−02	4.7483E+00	3.4076E−02	2.5533E+00	3.5345E−02	2.1514E+00	3.7224E−02	1.8302E+00
60	3.2109E−02	4.7885E+00	3.3029E−02	2.5733E+00	3.4245E−02	2.1682E+00	3.6056E−02	1.8444E+00

Ga; [Z=31]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	6.4743E+00	2.5242E−01	7.3483E+00	1.5747E−01	7.6949E+00	1.3573E−01	8.1454E+00	1.1752E−01
1	5.4069E+00	2.9717E−01	6.1985E+00	1.8391E−01	6.5025E+00	1.5827E−01	6.8986E+00	1.3676E−01
2	3.7407E+00	4.1105E−01	4.3829E+00	2.4991E−01	4.6136E+00	2.1445E−01	4.9098E+00	1.8479E−01
3	2.6231E+00	5.5253E−01	3.1399E+00	3.3009E−01	3.3155E+00	2.8248E−01	3.5363E+00	2.4294E−01
4	1.9583E+00	6.9214E−01	2.3839E+00	4.0807E−01	2.5233E+00	3.4851E−01	2.6960E+00	2.9929E−01
5	1.5352E+00	8.2193E−01	1.8942E+00	4.8000E−01	2.0089E+00	4.0933E−01	2.1493E+00	3.5116E−01
6	1.2401E+00	9.4514E−01	1.5478E+00	5.4787E−01	1.6443E+00	4.6667E−01	1.7613E+00	4.0002E−01
7	1.0205E+00	1.0665E+00	1.2863E+00	6.1432E−01	1.3684E+00	5.2275E−01	1.4671E+00	4.4778E−01
8	8.5101E−01	1.1889E+00	1.0811E+00	6.8101E−01	1.1514E+00	5.7899E−01	1.2355E+00	4.9565E−01
9	7.1785E−01	1.3136E+00	9.1680E−01	7.4864E−01	9.7717E−01	6.3598E−01	1.0491E+00	5.4413E−01
10	6.1215E−01	1.4401E+00	7.8370E−01	8.1721E−01	8.3568E−01	6.9375E−01	8.9749E−01	5.9326E−01
11	5.2753E−01	1.5675E+00	6.7504E−01	8.8635E−01	7.1986E−01	7.5200E−01	7.7314E−01	6.4279E−01
12	4.5965E−01	1.6944E+00	5.8621E−01	9.5544E−01	6.2492E−01	8.1022E−01	6.7104E−01	6.9231E−01
13	4.0459E−01	1.8194E+00	5.1304E−01	1.0238E+00	5.4657E−01	8.6788E−01	5.8664E−01	7.4138E−01
14	3.5941E−01	1.9412E+00	4.5237E−01	1.0909E+00	4.8149E−01	9.2445E−01	5.1647E−01	7.8954E−01
15	3.2193E−01	2.0591E+00	4.0177E−01	1.1560E+00	4.2717E−01	9.7948E−01	4.5785E−01	8.3642E−01
16	2.9046E−01	2.1724E+00	3.5928E−01	1.2189E+00	3.8153E−01	1.0326E+00	4.0859E−01	8.8169E−01
17	2.6371E−01	2.2809E+00	3.2333E−01	1.2793E+00	3.4293E−01	1.0836E+00	3.6693E−01	9.2515E−01
18	2.4070E−01	2.3847E+00	2.9267E−01	1.3369E+00	3.1003E−01	1.1323E+00	3.3145E−01	9.6667E−01
19	2.2071E−01	2.4839E+00	2.6632E−01	1.3918E+00	2.8179E−01	1.1787E+00	3.0102E−01	1.0062E+00
20	2.0319E−01	2.5789E+00	2.4350E−01	1.4440E+00	2.5738E−01	1.2228E+00	2.7474E−01	1.0438E+00
21	1.8772E−01	2.6700E+00	2.2360E−01	1.4938E+00	2.3614E−01	1.2648E+00	2.5189E−01	1.0796E+00
22	1.7396E−01	2.7575E+00	2.0614E−01	1.5412E+00	2.1752E−01	1.3048E+00	2.3190E−01	1.1136E+00
23	1.6168E−01	2.8417E+00	1.9071E−01	1.5864E+00	2.0110E−01	1.3429E+00	2.1429E−01	1.1459E+00
24	1.5066E−01	2.9230E+00	1.7701E−01	1.6296E+00	1.8655E−01	1.3793E+00	1.9870E−01	1.1769E+00
25	1.4074E−01	3.0016E+00	1.6477E−01	1.6711E+00	1.7357E−01	1.4141E+00	1.8480E−01	1.2065E+00
26	1.3178E−01	3.0777E+00	1.5380E−01	1.7111E+00	1.6194E−01	1.4476E+00	1.7237E−01	1.2349E+00
27	1.2366E−01	3.1517E+00	1.4392E−01	1.7496E+00	1.5147E−01	1.4799E+00	1.6119E−01	1.2623E+00
28	1.1629E−01	3.2237E+00	1.3498E−01	1.7868E+00	1.4201E−01	1.5111E+00	1.5108E−01	1.2887E+00
29	1.0958E−01	3.2938E+00	1.2686E−01	1.8229E+00	1.3343E−01	1.5413E+00	1.4192E−01	1.3143E+00
30	1.0346E−01	3.3621E+00	1.1947E−01	1.8580E+00	1.2562E−01	1.5707E+00	1.3359E−01	1.3392E+00
31	9.7870E−02	3.4289E+00	1.1272E−01	1.8922E+00	1.1849E−01	1.5993E+00	1.2597E−01	1.3634E+00
32	9.2745E−02	3.4942E+00	1.0653E−01	1.9255E+00	1.1195E−01	1.6272E+00	1.1900E−01	1.3870E+00
33	8.8040E−02	3.5581E+00	1.0085E−01	1.9581E+00	1.0595E−01	1.6544E+00	1.1259E−01	1.4100E+00
34	8.3711E−02	3.6206E+00	9.5619E−02	1.9899E+00	1.0042E−01	1.6811E+00	1.0669E−01	1.4326E+00
35	7.9721E−02	3.6820E+00	9.0789E−02	2.0212E+00	9.5312E−02	1.7072E+00	1.0124E−01	1.4547E+00
36	7.6035E−02	3.7421E+00	8.6322E−02	2.0518E+00	9.0589E−02	1.7328E+00	9.6200E−02	1.4764E+00
37	7.2623E−02	3.8011E+00	8.2180E−02	2.0819E+00	8.6209E−02	1.7580E+00	9.1525E−02	1.4977E+00
38	6.9459E−02	3.8590E+00	7.8334E−02	2.1114E+00	8.2141E−02	1.7827E+00	8.7181E−02	1.5186E+00
39	6.6519E−02	3.9159E+00	7.4755E−02	2.1404E+00	7.8355E−02	1.8070E+00	8.3137E−02	1.5391E+00
40	6.3782E−02	3.9718E+00	7.1418E−02	2.1689E+00	7.4825E−02	1.8308E+00	7.9367E−02	1.5594E+00
41	6.1229E−02	4.0268E+00	6.8303E−02	2.1970E+00	7.1528E−02	1.8543E+00	7.5846E−02	1.5792E+00
42	5.8843E−02	4.0808E+00	6.5390E−02	2.2245E+00	6.8445E−02	1.8774E+00	7.2553E−02	1.5988E+00
43	5.6609E−02	4.1340E+00	6.2661E−02	2.2517E+00	6.5557E−02	1.9001E+00	6.9468E−02	1.6180E+00
44	5.4515E−02	4.1863E+00	6.0101E−02	2.2784E+00	6.2848E−02	1.9225E+00	6.6574E−02	1.6370E+00
45	5.2547E−02	4.2377E+00	5.7697E−02	2.3046E+00	6.0304E−02	1.9445E+00	6.3856E−02	1.6556E+00
46	5.0696E−02	4.2884E+00	5.5435E−02	2.3304E+00	5.7911E−02	1.9661E+00	6.1300E−02	1.6740E+00
47	4.8952E−02	4.3383E+00	5.3305E−02	2.3559E+00	5.5658E−02	1.9874E+00	5.8894E−02	1.6920E+00
48	4.7306E−02	4.3874E+00	5.1297E−02	2.3809E+00	5.3533E−02	2.0084E+00	5.6626E−02	1.7098E+00
49	4.5751E−02	4.4358E+00	4.9402E−02	2.4055E+00	5.1529E−02	2.0290E+00	5.4486E−02	1.7273E+00
50	4.4278E−02	4.4835E+00	4.7610E−02	2.4297E+00	4.9635E−02	2.0493E+00	5.2464E−02	1.7445E+00
51	4.2884E−02	4.5305E+00	4.5915E−02	2.4536E+00	4.7843E−02	2.0693E+00	5.0552E−02	1.7614E+00
52	4.1560E−02	4.5768E+00	4.4310E−02	2.4771E+00	4.6148E−02	2.0889E+00	4.8743E−02	1.7781E+00
53	4.0303E−02	4.6225E+00	4.2788E−02	2.5002E+00	4.4541E−02	2.1083E+00	4.7029E−02	1.7945E+00
54	3.9107E−02	4.6676E+00	4.1344E−02	2.5229E+00	4.3016E−02	2.1274E+00	4.5404E−02	1.8106E+00
55	3.7969E−02	4.7120E+00	3.9972E−02	2.5453E+00	4.1569E−02	2.1461E+00	4.3861E−02	1.8265E+00
56	3.6884E−02	4.7558E+00	3.8669E−02	2.5674E+00	4.0194E−02	2.1646E+00	4.2396E−02	1.8422E+00
57	3.5849E−02	4.7990E+00	3.7428E−02	2.5891E+00	3.8886E−02	2.1828E+00	4.1003E−02	1.8576E+00
58	3.4861E−02	4.8416E+00	3.6247E−02	2.6105E+00	3.7641E−02	2.2006E+00	3.9677E−02	1.8727E+00
59	3.3916E−02	4.8837E+00	3.5121E−02	2.6315E+00	3.6456E−02	2.2183E+00	3.8415E−02	1.8876E+00
60	3.3013E−02	4.9252E+00	3.4047E−02	2.6523E+00	3.5325E−02	2.2356E+00	3.7213E−02	1.9023E+00

Ge; [Z=32]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	6.6981E+00	2.6067E−01	7.6145E+00	1.6293E−01	7.9769E+00	1.4055E−01	8.4472E+00	1.2177E−01
1	5.6931E+00	3.0111E−01	6.5316E+00	1.8695E−01	6.8541E+00	1.6105E−01	7.2738E+00	1.3926E−01
2	3.9785E+00	4.1065E−01	4.6644E+00	2.5086E−01	4.9115E+00	2.1551E−01	5.2283E+00	1.8587E−01
3	2.7452E+00	5.5806E−01	3.2934E+00	3.3485E−01	3.4796E+00	2.8685E−01	3.7132E+00	2.4690E−01
4	2.0062E+00	7.1109E−01	2.4511E+00	4.2056E−01	2.5966E+00	3.5947E−01	2.7762E+00	3.0891E−01
5	1.5507E+00	8.5381E−01	1.9211E+00	4.9980E−01	2.0394E+00	4.2650E−01	2.1836E+00	3.6609E−01
6	1.2449E+00	9.8548E−01	1.5601E+00	5.7250E−01	1.6590E+00	4.8795E−01	1.7784E+00	4.1847E−01
7	1.0233E+00	1.1109E+00	1.2952E+00	6.4139E−01	1.3793E+00	5.4613E−01	1.4801E+00	4.6803E−01
8	8.5457E−01	1.2344E+00	1.0906E+00	7.0889E−01	1.1628E+00	6.0307E−01	1.2489E+00	5.1652E−01
9	7.2243E−01	1.3585E+00	9.2759E−01	7.7641E−01	9.8991E−01	6.6001E−01	1.0639E+00	5.6497E−01
10	6.1735E−01	1.4839E+00	7.9544E−01	8.4452E−01	8.4938E−01	7.1741E−01	9.1319E−01	6.1380E−01
11	5.3292E−01	1.6103E+00	6.8711E−01	9.1320E−01	7.3387E−01	7.7528E−01	7.8913E−01	6.6302E−01
12	4.6491E−01	1.7366E+00	5.9811E−01	9.8202E−01	6.3871E−01	8.3328E−01	6.8674E−01	7.1236E−01
13	4.0956E−01	1.8617E+00	5.2442E−01	1.0505E+00	5.5974E−01	8.9100E−01	6.0162E−01	7.6148E−01
14	3.6404E−01	1.9844E+00	4.6302E−01	1.1180E+00	4.9380E−01	9.4798E−01	5.3046E−01	8.0999E−01
15	3.2625E−01	2.1037E+00	4.1162E−01	1.1840E+00	4.3853E−01	1.0037E+00	4.7074E−01	8.5749E−01
16	2.9452E−01	2.2190E+00	3.6831E−01	1.2481E+00	3.9192E−01	1.0579E+00	4.2036E−01	9.0366E−01
17	2.6756E−01	2.3300E+00	3.3158E−01	1.3100E+00	3.5239E−01	1.1102E+00	3.7762E−01	9.4824E−01
18	2.4439E−01	2.4364E+00	3.0020E−01	1.3694E+00	3.1863E−01	1.1604E+00	3.4115E−01	9.9107E−01
19	2.2427E−01	2.5384E+00	2.7320E−01	1.4262E+00	2.8962E−01	1.2085E+00	3.0981E−01	1.0320E+00
20	2.0664E−01	2.6363E+00	2.4981E−01	1.4804E+00	2.6452E−01	1.2543E+00	2.8272E−01	1.0711E+00
21	1.9106E−01	2.7302E+00	2.2941E−01	1.5322E+00	2.4266E−01	1.2981E+00	2.5916E−01	1.1084E+00
22	1.7720E−01	2.8204E+00	2.1149E−01	1.5815E+00	2.2350E−01	1.3398E+00	2.3853E−01	1.1439E+00
23	1.6482E−01	2.9074E+00	1.9566E−01	1.6287E+00	2.0660E−01	1.3795E+00	2.2037E−01	1.1778E+00
24	1.5369E−01	2.9913E+00	1.8161E−01	1.6738E+00	1.9162E−01	1.4175E+00	2.0429E−01	1.2101E+00
25	1.4365E−01	3.0725E+00	1.6905E−01	1.7170E+00	1.7827E−01	1.4539E+00	1.8997E−01	1.2410E+00
26	1.3458E−01	3.1511E+00	1.5780E−01	1.7586E+00	1.6631E−01	1.4888E+00	1.7716E−01	1.2707E+00
27	1.2634E−01	3.2275E+00	1.4765E−01	1.7986E+00	1.5555E−01	1.5224E+00	1.6564E−01	1.2992E+00
28	1.1885E−01	3.3017E+00	1.3848E−01	1.8373E+00	1.4583E−01	1.5549E+00	1.5524E−01	1.3267E+00
29	1.1203E−01	3.3741E+00	1.3016E−01	1.8747E+00	1.3701E−01	1.5862E+00	1.4582E−01	1.3533E+00
30	1.0580E−01	3.4446E+00	1.2258E−01	1.9110E+00	1.2899E−01	1.6166E+00	1.3725E−01	1.3790E+00
31	1.0009E−01	3.5134E+00	1.1565E−01	1.9463E+00	1.2166E−01	1.6462E+00	1.2942E−01	1.4040E+00
32	9.4861E−02	3.5807E+00	1.0931E−01	1.9807E+00	1.1495E−01	1.6750E+00	1.2226E−01	1.4284E+00
33	9.0054E−02	3.6465E+00	1.0349E−01	2.0143E+00	1.0879E−01	1.7030E+00	1.1568E−01	1.4522E+00
34	8.5629E−02	3.7109E+00	9.8122E−02	2.0471E+00	1.0312E−01	1.7305E+00	1.0962E−01	1.4754E+00
35	8.1548E−02	3.7741E+00	9.3172E−02	2.0792E+00	9.7884E−02	1.7573E+00	1.0403E−01	1.4981E+00
36	7.7777E−02	3.8360E+00	8.8593E−02	2.1107E+00	9.3041E−02	1.7837E+00	9.8861E−02	1.5204E+00
37	7.4286E−02	3.8967E+00	8.4350E−02	2.1416E+00	8.8552E−02	1.8095E+00	9.4067E−02	1.5422E+00
38	7.1049E−02	3.9563E+00	8.0408E−02	2.1718E+00	8.4382E−02	1.8348E+00	8.9613E−02	1.5636E+00
39	6.8041E−02	4.0148E+00	7.6742E−02	2.2016E+00	8.0501E−02	1.8597E+00	8.5468E−02	1.5847E+00
40	6.5241E−02	4.0723E+00	7.3324E−02	2.2308E+00	7.6884E−02	1.8841E+00	8.1603E−02	1.6054E+00
41	6.2630E−02	4.1288E+00	7.0133E−02	2.2595E+00	7.3506E−02	1.9082E+00	7.7993E−02	1.6258E+00
42	6.0191E−02	4.1844E+00	6.7149E−02	2.2878E+00	7.0347E−02	1.9318E+00	7.4617E−02	1.6458E+00
43	5.7909E−02	4.2391E+00	6.4355E−02	2.3156E+00	6.7388E−02	1.9551E+00	7.1455E−02	1.6655E+00
44	5.5769E−02	4.2929E+00	6.1733E−02	2.3429E+00	6.4612E−02	1.9780E+00	6.8488E−02	1.6849E+00
45	5.3761E−02	4.3458E+00	5.9271E−02	2.3698E+00	6.2005E−02	2.0005E+00	6.5702E−02	1.7040E+00
46	5.1873E−02	4.3979E+00	5.6956E−02	2.3963E+00	5.9552E−02	2.0227E+00	6.3082E−02	1.7228E+00
47	5.0094E−02	4.4492E+00	5.4775E−02	2.4224E+00	5.7243E−02	2.0445E+00	6.0614E−02	1.7413E+00
48	4.8417E−02	4.4998E+00	5.2719E−02	2.4481E+00	5.5067E−02	2.0660E+00	5.8288E−02	1.7595E+00
49	4.6832E−02	4.5496E+00	5.0778E−02	2.4733E+00	5.3012E−02	2.0872E+00	5.6093E−02	1.7774E+00
50	4.5334E−02	4.5987E+00	4.8943E−02	2.4982E+00	5.1070E−02	2.1080E+00	5.4019E−02	1.7951E+00
51	4.3914E−02	4.6470E+00	4.7207E−02	2.5227E+00	4.9234E−02	2.1286E+00	5.2057E−02	1.8125E+00
52	4.2568E−02	4.6947E+00	4.5563E−02	2.5468E+00	4.7495E−02	2.1488E+00	5.0201E−02	1.8296E+00
53	4.1290E−02	4.7418E+00	4.4005E−02	2.5706E+00	4.5847E−02	2.1687E+00	4.8441E−02	1.8464E+00
54	4.0076E−02	4.7881E+00	4.2526E−02	2.5940E+00	4.4284E−02	2.1883E+00	4.6773E−02	1.8630E+00
55	3.8920E−02	4.8339E+00	4.1121E−02	2.6170E+00	4.2799E−02	2.2076E+00	4.5189E−02	1.8794E+00
56	3.7818E−02	4.8790E+00	3.9785E−02	2.6397E+00	4.1389E−02	2.2266E+00	4.3684E−02	1.8955E+00
57	3.6768E−02	4.9236E+00	3.8514E−02	2.6621E+00	4.0047E−02	2.2453E+00	4.2253E−02	1.9114E+00
58	3.5766E−02	4.9675E+00	3.7304E−02	2.6841E+00	3.8770E−02	2.2637E+00	4.0891E−02	1.9270E+00
59	3.4808E−02	5.0109E+00	3.6150E−02	2.7058E+00	3.7553E−02	2.2818E+00	3.9595E−02	1.9423E+00
60	3.3892E−02	5.0538E+00	3.5049E−02	2.7272E+00	3.6392E−02	2.2997E+00	3.8359E−02	1.9575E+00

As; [Z=33]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	6.6112E+00	2.7657E−01	7.5499E+00	1.7312E−01	7.9099E+00	1.4950E−01	8.3809E+00	1.2961E−01
1	5.7554E+00	3.1195E−01	6.6239E+00	1.9427E−01	6.9531E+00	1.6751E−01	7.3824E+00	1.4496E−01
2	4.1475E+00	4.1229E−01	4.8706E+00	2.5321E−01	5.1306E+00	2.1774E−01	5.4636E+00	1.8797E−01
3	2.8694E+00	5.5772E−01	3.4504E+00	3.3657E−01	3.6475E+00	2.8861E−01	3.8942E+00	2.4865E−01
4	2.0681E+00	7.1917E−01	2.5359E+00	4.2733E−01	2.6887E+00	3.6555E−01	2.8765E+00	3.1438E−01
5	1.5764E+00	8.7454E−01	1.9610E+00	5.1379E−01	2.0836E+00	4.3872E−01	2.2327E+00	3.7682E−01
6	1.2551E+00	1.0169E+00	1.5790E+00	5.9259E−01	1.6806E+00	5.0533E−01	1.8030E+00	4.3363E−01
7	1.0284E+00	1.1488E+00	1.3065E+00	6.6531E−01	1.3925E+00	5.6676E−01	1.4955E+00	4.8598E−01
8	8.5870E−01	1.2753E+00	1.1001E+00	7.3466E−01	1.1740E+00	6.2530E−01	1.2619E+00	5.3584E−01
9	7.2682E−01	1.4000E+00	9.3737E−01	8.0274E−01	1.0013E+00	6.8272E−01	1.0771E+00	5.8472E−01
10	6.2211E−01	1.5248E+00	8.0594E−01	8.7069E−01	8.6148E−01	7.4002E−01	9.2713E−01	6.3348E−01
11	5.3781E−01	1.6503E+00	6.9823E−01	9.3894E−01	7.4636E−01	7.9758E−01	8.0346E−01	6.8245E−01
12	4.6971E−01	1.7758E+00	6.0919E−01	1.0074E+00	6.5123E−01	8.5527E−01	7.0106E−01	7.3154E−01
13	4.1412E−01	1.9007E+00	5.3512E−01	1.0757E+00	5.7191E−01	9.1288E−01	6.1552E−01	7.8056E−01
14	3.6830E−01	2.0237E+00	4.7319E−01	1.1435E+00	5.0536E−01	9.7002E−01	5.4365E−01	8.2921E−01
15	3.3022E−01	2.1441E+00	4.2113E−01	1.2100E+00	4.4932E−01	1.0263E+00	4.8305E−01	8.7712E−01
16	2.9824E−01	2.2609E+00	3.7713E−01	1.2751E+00	4.0190E−01	1.0812E+00	4.3173E−01	9.2396E−01
17	2.7108E−01	2.3738E+00	3.3971E−01	1.3381E+00	3.6155E−01	1.1346E+00	3.8804E−01	9.6945E−01
18	2.4776E−01	2.4826E+00	3.0769E−01	1.3989E+00	3.2702E−01	1.1861E+00	3.5065E−01	1.0134E+00
19	2.2752E−01	2.5871E+00	2.8010E−01	1.4574E+00	2.9729E−01	1.2356E+00	3.1848E−01	1.0556E+00
20	2.0980E−01	2.6875E+00	2.5617E−01	1.5134E+00	2.7153E−01	1.2830E+00	2.9063E−01	1.0961E+00
21	1.9414E−01	2.7841E+00	2.3528E−01	1.5670E+00	2.4909E−01	1.3284E+00	2.6638E−01	1.1348E+00
22	1.8021E−01	2.8770E+00	2.1693E−01	1.6182E+00	2.2940E−01	1.3717E+00	2.4514E−01	1.1717E+00
23	1.6774E−01	2.9665E+00	2.0072E−01	1.6672E+00	2.1205E−01	1.4131E+00	2.2643E−01	1.2070E+00
24	1.5653E−01	3.0530E+00	1.8632E−01	1.7140E+00	1.9666E−01	1.4527E+00	2.0987E−01	1.2407E+00
25	1.4641E−01	3.1367E+00	1.7346E−01	1.7590E+00	1.8294E−01	1.4907E+00	1.9512E−01	1.2730E+00
26	1.3724E−01	3.2177E+00	1.6193E−01	1.8021E+00	1.7065E−01	1.5270E+00	1.8194E−01	1.3039E+00
27	1.2891E−01	3.2964E+00	1.5153E−01	1.8436E+00	1.5960E−01	1.5620E+00	1.7008E−01	1.3336E+00
28	1.2133E−01	3.3729E+00	1.4213E−01	1.8837E+00	1.4962E−01	1.5957E+00	1.5939E−01	1.3622E+00
29	1.1440E−01	3.4474E+00	1.3360E−01	1.9224E+00	1.4057E−01	1.6283E+00	1.4970E−01	1.3898E+00
30	1.0807E−01	3.5201E+00	1.2583E−01	1.9599E+00	1.3233E−01	1.6598E+00	1.4089E−01	1.4166E+00
31	1.0226E−01	3.5910E+00	1.1873E−01	1.9964E+00	1.2482E−01	1.6904E+00	1.3286E−01	1.4425E+00
32	9.6935E−02	3.6603E+00	1.1223E−01	2.0318E+00	1.1794E−01	1.7201E+00	1.2550E−01	1.4676E+00
33	9.2034E−02	3.7281E+00	1.0626E−01	2.0663E+00	1.1162E−01	1.7491E+00	1.1875E−01	1.4921E+00
34	8.7519E−02	3.7944E+00	1.0076E−01	2.1000E+00	1.0580E−01	1.7773E+00	1.1254E−01	1.5160E+00
35	8.3352E−02	3.8594E+00	9.5683E−02	2.1329E+00	1.0044E−01	1.8049E+00	1.0680E−01	1.5394E+00
36	7.9499E−02	3.9231E+00	9.0988E−02	2.1651E+00	9.5472E−02	1.8320E+00	1.0150E−01	1.5623E+00
37	7.5932E−02	3.9855E+00	8.6637E−02	2.1967E+00	9.0871E−02	1.8585E+00	9.6586E−02	1.5847E+00
38	7.2622E−02	4.0469E+00	8.2598E−02	2.2276E+00	8.6599E−02	1.8845E+00	9.2021E−02	1.6067E+00
39	6.9547E−02	4.1071E+00	7.8839E−02	2.2580E+00	8.2624E−02	1.9100E+00	8.7773E−02	1.6283E+00
40	6.6684E−02	4.1662E+00	7.5335E−02	2.2878E+00	7.8919E−02	1.9350E+00	8.3813E−02	1.6495E+00
41	6.4015E−02	4.2243E+00	7.2064E−02	2.3172E+00	7.5459E−02	1.9597E+00	8.0115E−02	1.6703E+00
42	6.1522E−02	4.2815E+00	6.9005E−02	2.3460E+00	7.2224E−02	1.9839E+00	7.6657E−02	1.6908E+00
43	5.9191E−02	4.3377E+00	6.6141E−02	2.3743E+00	6.9194E−02	2.0077E+00	7.3417E−02	1.7110E+00
44	5.7006E−02	4.3930E+00	6.3453E−02	2.4022E+00	6.6351E−02	2.0311E+00	7.0378E−02	1.7308E+00
45	5.4956E−02	4.4474E+00	6.0929E−02	2.4296E+00	6.3682E−02	2.0542E+00	6.7524E−02	1.7504E+00
46	5.3029E−02	4.5009E+00	5.8555E−02	2.4566E+00	6.1171E−02	2.0769E+00	6.4839E−02	1.7696E+00
47	5.1215E−02	4.5537E+00	5.6319E−02	2.4831E+00	5.8807E−02	2.0993E+00	6.2311E−02	1.7886E+00
48	4.9505E−02	4.6057E+00	5.4211E−02	2.5093E+00	5.6577E−02	2.1213E+00	5.9928E−02	1.8072E+00
49	4.7891E−02	4.6569E+00	5.2221E−02	2.5350E+00	5.4473E−02	2.1430E+00	5.7678E−02	1.8256E+00
50	4.6365E−02	4.7074E+00	5.0339E−02	2.5603E+00	5.2485E−02	2.1644E+00	5.5553E−02	1.8437E+00
51	4.4921E−02	4.7571E+00	4.8558E−02	2.5853E+00	5.0604E−02	2.1854E+00	5.3543E−02	1.8615E+00
52	4.3552E−02	4.8062E+00	4.6872E−02	2.6099E+00	4.8823E−02	2.2061E+00	5.1639E−02	1.8791E+00
53	4.2253E−02	4.8546E+00	4.5273E−02	2.6341E+00	4.7135E−02	2.2266E+00	4.9836E−02	1.8964E+00
54	4.1019E−02	4.9023E+00	4.3756E−02	2.6579E+00	4.5534E−02	2.2467E+00	4.8125E−02	1.9134E+00
55	3.9845E−02	4.9494E+00	4.2313E−02	2.6814E+00	4.4013E−02	2.2665E+00	4.6500E−02	1.9302E+00
56	3.8727E−02	4.9959E+00	4.0942E−02	2.7046E+00	4.2567E−02	2.2860E+00	4.4957E−02	1.9468E+00
57	3.7662E−02	5.0417E+00	3.9637E−02	2.7274E+00	4.1192E−02	2.3052E+00	4.3489E−02	1.9631E+00
58	3.6645E−02	5.0870E+00	3.8394E−02	2.7498E+00	3.9883E−02	2.3242E+00	4.2092E−02	1.9791E+00
59	3.5674E−02	5.1317E+00	3.7209E−02	2.7720E+00	3.8635E−02	2.3429E+00	4.0761E−02	1.9949E+00
60	3.4746E−02	5.1758E+00	3.6078E−02	2.7938E+00	3.7446E−02	2.3613E+00	3.9493E−02	2.0105E+00

Se; [Z=34]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	6.4543E+00	2.9336E−01	7.3989E+00	1.8414E−01	7.7633E+00	1.5910E−01	8.2306E+00	1.3803E−01
1	5.7250E+00	3.2496E−01	6.6111E+00	2.0304E−01	6.9468E+00	1.7524E−01	7.3799E+00	1.5176E−01
2	4.2546E+00	4.1681E−01	5.0079E+00	2.5721E−01	5.2786E+00	2.2149E−01	5.6238E+00	1.9139E−01
3	2.9808E+00	5.5661E−01	3.5930E+00	3.3778E−01	3.8008E+00	2.9008E−01	4.0599E+00	2.5016E−01
4	2.1362E+00	7.2123E−01	2.6289E+00	4.3070E−01	2.7897E+00	3.6893E−01	2.9866E+00	3.1758E−01
5	1.6101E+00	8.8679E−01	2.0113E+00	5.2302E−01	2.1393E+00	4.4711E−01	2.2941E+00	3.8432E−01
6	1.2707E+00	1.0404E+00	1.6048E+00	6.0824E−01	1.7099E+00	5.1921E−01	1.8360E+00	4.4582E−01
7	1.0364E+00	1.1809E+00	1.3208E+00	6.8591E−01	1.4094E+00	5.8487E−01	1.5148E+00	5.0180E−01
8	8.6408E−01	1.3124E+00	1.1102E+00	7.5824E−01	1.1861E+00	6.4597E−01	1.2760E+00	5.5386E−01
9	7.3156E−01	1.4392E+00	9.4644E−01	8.2769E−01	1.0122E+00	7.0459E−01	1.0898E+00	6.0379E−01
10	6.2678E−01	1.5643E+00	8.1505E−01	8.9601E−01	8.7245E−01	7.6222E−01	9.3981E−01	6.5284E−01
11	5.4243E−01	1.6893E+00	7.0736E−01	9.6414E−01	7.5757E−01	8.1966E−01	8.1636E−01	7.0173E−01
12	4.7421E−01	1.8141E+00	6.1854E−01	1.0322E+00	6.6256E−01	8.7708E−01	7.1407E−01	7.5059E−01
13	4.1839E−01	1.9384E+00	5.4444E−01	1.1003E+00	5.8308E−01	9.3447E−01	6.2834E−01	7.9944E−01
14	3.7228E−01	2.0615E+00	4.8217E−01	1.1680E+00	5.1612E−01	9.9160E−01	5.5599E−01	8.4807E−01
15	3.3391E−01	2.1824E+00	4.2963E−01	1.2349E+00	4.5950E−01	1.0481E+00	4.9472E−01	8.9619E−01
16	3.0168E−01	2.3004E+00	3.8506E−01	1.3005E+00	4.1141E−01	1.1036E+00	4.4262E−01	9.4349E−01
17	2.7432E−01	2.4149E+00	3.4706E−01	1.3645E+00	3.7036E−01	1.1577E+00	3.9812E−01	9.8967E−01
18	2.5085E−01	2.5255E+00	3.1447E−01	1.4266E+00	3.3514E−01	1.2103E+00	3.5993E−01	1.0345E+00
19	2.3050E−01	2.6323E+00	2.8635E−01	1.4866E+00	3.0476E−01	1.2610E+00	3.2698E−01	1.0778E+00
20	2.1269E−01	2.7350E+00	2.6194E−01	1.5443E+00	2.7840E−01	1.3099E+00	2.9842E−01	1.1195E+00
21	1.9696E−01	2.8340E+00	2.4061E−01	1.5996E+00	2.5541E−01	1.3568E+00	2.7352E−01	1.1595E+00
22	1.8297E−01	2.9294E+00	2.2186E−01	1.6527E+00	2.3523E−01	1.4017E+00	2.5169E−01	1.1978E+00
23	1.7045E−01	3.0214E+00	2.0529E−01	1.7035E+00	2.1743E−01	1.4447E+00	2.3246E−01	1.2345E+00
24	1.5918E−01	3.1103E+00	1.9057E−01	1.7522E+00	2.0164E−01	1.4858E+00	2.1543E−01	1.2696E+00
25	1.4900E−01	3.1963E+00	1.7742E−01	1.7989E+00	1.8756E−01	1.5253E+00	2.0026E−01	1.3032E+00
26	1.3976E−01	3.2797E+00	1.6563E−01	1.8438E+00	1.7496E−01	1.5631E+00	1.8670E−01	1.3354E+00
27	1.3136E−01	3.3607E+00	1.5500E−01	1.8870E+00	1.6362E−01	1.5995E+00	1.7452E−01	1.3663E+00
28	1.2369E−01	3.4394E+00	1.4539E−01	1.9287E+00	1.5338E−01	1.6345E+00	1.6353E−01	1.3961E+00
29	1.1668E−01	3.5161E+00	1.3666E−01	1.9689E+00	1.4410E−01	1.6683E+00	1.5358E−01	1.4247E+00
30	1.1026E−01	3.5908E+00	1.2871E−01	2.0078E+00	1.3566E−01	1.7010E+00	1.4453E−01	1.4525E+00
31	1.0437E−01	3.6638E+00	1.2145E−01	2.0456E+00	1.2795E−01	1.7326E+00	1.3628E−01	1.4793E+00
32	9.8957E−02	3.7351E+00	1.1480E−01	2.0823E+00	1.2090E−01	1.7633E+00	1.2873E−01	1.5053E+00
33	9.3972E−02	3.8048E+00	1.0869E−01	2.1180E+00	1.1443E−01	1.7932E+00	1.2181E−01	1.5306E+00
34	8.9374E−02	3.8730E+00	1.0306E−01	2.1529E+00	1.0847E−01	1.8224E+00	1.1543E−01	1.5553E+00
35	8.5126E−02	3.9399E+00	9.7872E−02	2.1869E+00	1.0297E−01	1.8508E+00	1.0956E−01	1.5794E+00
36	8.1197E−02	4.0054E+00	9.3072E−02	2.2201E+00	9.7882E−02	1.8786E+00	1.0412E−01	1.6029E+00
37	7.7556E−02	4.0696E+00	8.8623E−02	2.2527E+00	9.3171E−02	1.9059E+00	9.9085E−02	1.6259E+00
38	7.4177E−02	4.1327E+00	8.4492E−02	2.2846E+00	8.8796E−02	1.9325E+00	9.4408E−02	1.6485E+00
39	7.1036E−02	4.1946E+00	8.0649E−02	2.3159E+00	8.4726E−02	1.9587E+00	9.0057E−02	1.6706E+00
40	6.8112E−02	4.2554E+00	7.7068E−02	2.3466E+00	8.0932E−02	1.9844E+00	8.6002E−02	1.6923E+00
41	6.5386E−02	4.3151E+00	7.3725E−02	2.3768E+00	7.7391E−02	2.0096E+00	8.2215E−02	1.7137E+00
42	6.2840E−02	4.3739E+00	7.0600E−02	2.4065E+00	7.4079E−02	2.0344E+00	7.8674E−02	1.7347E+00
43	6.0458E−02	4.4316E+00	6.7674E−02	2.4356E+00	7.0978E−02	2.0588E+00	7.5357E−02	1.7553E+00
44	5.8227E−02	4.4885E+00	6.4929E−02	2.4643E+00	6.8069E−02	2.0828E+00	7.2246E−02	1.7756E+00
45	5.6135E−02	4.5444E+00	6.2352E−02	2.4925E+00	6.5337E−02	2.1064E+00	6.9324E−02	1.7956E+00
46	5.4168E−02	4.5995E+00	5.9928E−02	2.5203E+00	6.2768E−02	2.1297E+00	6.6575E−02	1.8153E+00
47	5.2318E−02	4.6537E+00	5.7646E−02	2.5477E+00	6.0348E−02	2.1525E+00	6.3987E−02	1.8347E+00
48	5.0575E−02	4.7071E+00	5.5495E−02	2.5747E+00	5.8067E−02	2.1751E+00	6.1547E−02	1.8538E+00
49	4.8931E−02	4.7597E+00	5.3464E−02	2.6012E+00	5.5914E−02	2.1973E+00	5.9244E−02	1.8726E+00
50	4.7377E−02	4.8116E+00	5.1544E−02	2.6273E+00	5.3880E−02	2.2192E+00	5.7068E−02	1.8911E+00
51	4.5907E−02	4.8628E+00	4.9729E−02	2.6531E+00	5.1955E−02	2.2407E+00	5.5009E−02	1.9094E+00
52	4.4514E−02	4.9132E+00	4.8009E−02	2.6785E+00	5.0132E−02	2.2620E+00	5.3060E−02	1.9274E+00
53	4.3194E−02	4.9630E+00	4.6378E−02	2.7034E+00	4.8405E−02	2.2829E+00	5.1213E−02	1.9451E+00
54	4.1940E−02	5.0120E+00	4.4831E−02	2.7281E+00	4.6765E−02	2.3035E+00	4.9460E−02	1.9626E+00
55	4.0748E−02	5.0605E+00	4.3361E−02	2.7524E+00	4.5209E−02	2.3239E+00	4.7796E−02	1.9798E+00
56	3.9613E−02	5.1083E+00	4.1964E−02	2.7763E+00	4.3729E−02	2.3439E+00	4.6215E−02	1.9967E+00
57	3.8532E−02	5.1554E+00	4.0633E−02	2.7999E+00	4.2321E−02	2.3636E+00	4.4711E−02	2.0135E+00
58	3.7502E−02	5.2020E+00	3.9367E−02	2.8231E+00	4.0981E−02	2.3831E+00	4.3279E−02	2.0299E+00
59	3.6518E−02	5.2480E+00	3.8159E−02	2.8461E+00	3.9704E−02	2.4023E+00	4.1915E−02	2.0462E+00
60	3.5577E−02	5.2935E+00	3.7007E−02	2.8687E+00	3.8486E−02	2.4212E+00	4.0615E−02	2.0622E+00

Br; [Z=35]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	6.2644E+00	3.1037E−01	7.2156E+00	1.9538E−01	7.5777E+00	1.6896E−01	8.0394E+00	1.4670E−01
1	5.6398E+00	3.3900E−01	6.5399E+00	2.1255E−01	6.8776E+00	1.8362E−01	7.3109E+00	1.5916E−01
2	4.3108E+00	4.2341E−01	5.0893E+00	2.6255E−01	5.3679E+00	2.2636E−01	5.7221E+00	1.9578E−01
3	3.0732E+00	5.5614E−01	3.7143E+00	3.3948E−01	3.9317E+00	2.9193E−01	4.2021E+00	2.5201E−01
4	2.2045E+00	7.1996E−01	2.7230E+00	4.3236E−01	2.8919E+00	3.7082E−01	3.0981E+00	3.1951E−01
5	1.6488E+00	8.9233E−01	2.0690E+00	5.2874E−01	2.2029E+00	4.5248E−01	2.3643E+00	3.8925E−01
6	1.2908E+00	1.0564E+00	1.6372E+00	6.1998E−01	1.7463E+00	5.2970E−01	1.8766E+00	4.5516E−01
7	1.0473E+00	1.2066E+00	1.3393E+00	7.0323E−01	1.4305E+00	6.0013E−01	1.5388E+00	5.1522E−01
8	8.7105E−01	1.3448E+00	1.1222E+00	7.7958E−01	1.2001E+00	6.6465E−01	1.2921E+00	5.7022E−01
9	7.3704E−01	1.4754E+00	9.5597E−01	8.5135E−01	1.0234E+00	7.2527E−01	1.1027E+00	6.2189E−01
10	6.3172E−01	1.6020E+00	8.2389E−01	9.2070E−01	8.8282E−01	7.8380E−01	9.5182E−01	6.7171E−01
11	5.4706E−01	1.7272E+00	7.1609E−01	9.8908E−01	7.6781E−01	8.4148E−01	8.2819E−01	7.2081E−01
12	4.7860E−01	1.8515E+00	6.2734E−01	1.0570E+00	6.7286E−01	8.9876E−01	7.2594E−01	7.6957E−01
13	4.2250E−01	1.9753E+00	5.5318E−01	1.1248E+00	5.9332E−01	9.5593E−01	6.4013E−01	8.1824E−01
14	3.7608E−01	2.0982E+00	4.9067E−01	1.1923E+00	5.2609E−01	1.0129E+00	5.6746E−01	8.6677E−01
15	3.3741E−01	2.2193E+00	4.3776E−01	1.2593E+00	4.6905E−01	1.0695E+00	5.0570E−01	9.1495E−01
16	3.0491E−01	2.3380E+00	3.9275E−01	1.3253E+00	4.2042E−01	1.1253E+00	4.5299E−01	9.6251E−01
17	2.7734E−01	2.4537E+00	3.5425E−01	1.3900E+00	3.7879E−01	1.1800E+00	4.0780E−01	1.0092E+00
18	2.5370E−01	2.5659E+00	3.2117E−01	1.4531E+00	3.4297E−01	1.2334E+00	3.6891E−01	1.0547E+00
19	2.3324E−01	2.6745E+00	2.9257E−01	1.5142E+00	3.1201E−01	1.2852E+00	3.3528E−01	1.0990E+00
20	2.1534E−01	2.7793E+00	2.6770E−01	1.5733E+00	2.8510E−01	1.3353E+00	3.0606E−01	1.1417E+00
21	1.9955E−01	2.8805E+00	2.4596E−01	1.6302E+00	2.6159E−01	1.3835E+00	2.8055E−01	1.1829E+00
22	1.8552E−01	2.9781E+00	2.2684E−01	1.6849E+00	2.4095E−01	1.4298E+00	2.5817E−01	1.2225E+00
23	1.7295E−01	3.0724E+00	2.0994E−01	1.7374E+00	2.2272E−01	1.4743E+00	2.3843E−01	1.2604E+00
24	1.6164E−01	3.1636E+00	1.9491E−01	1.7879E+00	2.0655E−01	1.5170E+00	2.2095E−01	1.2968E+00
25	1.5141E−01	3.2519E+00	1.8149E−01	1.8363E+00	1.9214E−01	1.5579E+00	2.0538E−01	1.3317E+00
26	1.4212E−01	3.3375E+00	1.6944E−01	1.8828E+00	1.7922E−01	1.5972E+00	1.9145E−01	1.3652E+00
27	1.3366E−01	3.4207E+00	1.5858E−01	1.9276E+00	1.6761E−01	1.6350E+00	1.7894E−01	1.3973E+00
28	1.2594E−01	3.5016E+00	1.4876E−01	1.9708E+00	1.5712E−01	1.6713E+00	1.6766E−01	1.4283E+00
29	1.1886E−01	3.5804E+00	1.3984E−01	2.0124E+00	1.4761E−01	1.7064E+00	1.5744E−01	1.4581E+00
30	1.1237E−01	3.6572E+00	1.3172E−01	2.0528E+00	1.3896E−01	1.7403E+00	1.4816E−01	1.4868E+00
31	1.0641E−01	3.7322E+00	1.2430E−01	2.0918E+00	1.3107E−01	1.7730E+00	1.3969E−01	1.5146E+00
32	1.0092E−01	3.8054E+00	1.1750E−01	2.1298E+00	1.2385E−01	1.8048E+00	1.3195E−01	1.5416E+00
33	9.5858E−02	3.8771E+00	1.1125E−01	2.1666E+00	1.1721E−01	1.8357E+00	1.2485E−01	1.5677E+00
34	9.1185E−02	3.9472E+00	1.0550E−01	2.2025E+00	1.1111E−01	1.8658E+00	1.1832E−01	1.5932E+00
35	8.6865E−02	4.0159E+00	1.0019E−01	2.2376E+00	1.0548E−01	1.8951E+00	1.1229E−01	1.6180E+00
36	8.2865E−02	4.0833E+00	9.5281E−02	2.2718E+00	1.0028E−01	1.9237E+00	1.0673E−01	1.6422E+00
37	7.9155E−02	4.1493E+00	9.0731E−02	2.3053E+00	9.5452E−02	1.9517E+00	1.0157E−01	1.6659E+00
38	7.5710E−02	4.2141E+00	8.6505E−02	2.3381E+00	9.0975E−02	1.9791E+00	9.6778E−02	1.6890E+00
39	7.2507E−02	4.2777E+00	8.2575E−02	2.3702E+00	8.6809E−02	2.0059E+00	9.2323E−02	1.7118E+00
40	6.9523E−02	4.3402E+00	7.8912E−02	2.4017E+00	8.2927E−02	2.0323E+00	8.8171E−02	1.7340E+00
41	6.6741E−02	4.4016E+00	7.5493E−02	2.4326E+00	7.9304E−02	2.0581E+00	8.4295E−02	1.7559E+00
42	6.4142E−02	4.4620E+00	7.2297E−02	2.4630E+00	7.5915E−02	2.0835E+00	8.0671E−02	1.7774E+00
43	6.1711E−02	4.5213E+00	6.9304E−02	2.4929E+00	7.2743E−02	2.1085E+00	7.7277E−02	1.7985E+00
44	5.9435E−02	4.5797E+00	6.6498E−02	2.5223E+00	6.9767E−02	2.1331E+00	7.4094E−02	1.8193E+00
45	5.7299E−02	4.6372E+00	6.3863E−02	2.5512E+00	6.6973E−02	2.1572E+00	7.1104E−02	1.8397E+00
46	5.5293E−02	4.6938E+00	6.1385E−02	2.5796E+00	6.4345E−02	2.1810E+00	6.8292E−02	1.8599E+00
47	5.3407E−02	4.7495E+00	5.9052E−02	2.6077E+00	6.1871E−02	2.2044E+00	6.5644E−02	1.8797E+00
48	5.1630E−02	4.8044E+00	5.6853E−02	2.6352E+00	5.9538E−02	2.2275E+00	6.3147E−02	1.8992E+00
49	4.9954E−02	4.8585E+00	5.4777E−02	2.6624E+00	5.7336E−02	2.2502E+00	6.0791E−02	1.9184E+00
50	4.8371E−02	4.9118E+00	5.2816E−02	2.6892E+00	5.5255E−02	2.2726E+00	5.8564E−02	1.9374E+00
51	4.6875E−02	4.9643E+00	5.0960E−02	2.7155E+00	5.3287E−02	2.2947E+00	5.6458E−02	1.9561E+00
52	4.5458E−02	5.0161E+00	4.9203E−02	2.7415E+00	5.1423E−02	2.3164E+00	5.4463E−02	1.9745E+00
53	4.4115E−02	5.0673E+00	4.7537E−02	2.7671E+00	4.9657E−02	2.3379E+00	5.2573E−02	1.9927E+00
54	4.2840E−02	5.1177E+00	4.5956E−02	2.7924E+00	4.7980E−02	2.3590E+00	5.0779E−02	2.0105E+00
55	4.1630E−02	5.1675E+00	4.4454E−02	2.8173E+00	4.6388E−02	2.3798E+00	4.9076E−02	2.0282E+00
56	4.0478E−02	5.2166E+00	4.3026E−02	2.8418E+00	4.4875E−02	2.4003E+00	4.7457E−02	2.0456E+00
57	3.9382E−02	5.2651E+00	4.1667E−02	2.8660E+00	4.3435E−02	2.4206E+00	4.5918E−02	2.0627E+00
58	3.8337E−02	5.3130E+00	4.0373E−02	2.8898E+00	4.2064E−02	2.4405E+00	4.4452E−02	2.0796E+00
59	3.7340E−02	5.3603E+00	3.9139E−02	2.9134E+00	4.0757E−02	2.4602E+00	4.3055E−02	2.0963E+00
60	3.6387E−02	5.4071E+00	3.7962E−02	2.9365E+00	3.9511E−02	2.4796E+00	4.1724E−02	2.1127E+00

Kr; [Z=36]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	6.0600E+00	3.2728E−01	7.0151E+00	2.0669E−01	7.3740E+00	1.7892E−01	7.8299E+00	1.5545E−01
1	5.5219E+00	3.5349E−01	6.4320E+00	2.2246E−01	6.7701E+00	1.9238E−01	7.2009E+00	1.6691E−01
2	4.3272E+00	4.3146E−01	5.1262E+00	2.6884E−01	5.4109E+00	2.3205E−01	5.7716E+00	2.0088E−01
3	3.1447E+00	5.5680E−01	3.8119E+00	3.4187E−01	4.0378E+00	2.9437E−01	4.3178E+00	2.5439E−01
4	2.2687E+00	7.1718E−01	2.8126E+00	4.3323E−01	2.9897E+00	3.7205E−01	3.2052E+00	3.2087E−01
5	1.6900E+00	8.9301E−01	2.1308E+00	5.3184E−01	2.2710E+00	4.5566E−01	2.4393E+00	3.9236E−01
6	1.3142E+00	1.0658E+00	1.6748E+00	6.2809E−01	1.7884E+00	5.3716E−01	1.9236E+00	4.6191E−01
7	1.0607E+00	1.2257E+00	1.3617E+00	7.1702E−01	1.4560E+00	6.1242E−01	1.5675E+00	5.2615E−01
8	8.7963E−01	1.3719E+00	1.1364E+00	7.9811E−01	1.2165E+00	6.8100E−01	1.3108E+00	5.8462E−01
9	7.4347E−01	1.5077E+00	9.6636E−01	8.7311E−01	1.0355E+00	7.4439E−01	1.1166E+00	6.3867E−01
10	6.3715E−01	1.6372E+00	8.3272E−01	9.4426E−01	8.9312E−01	8.0448E−01	9.6369E−01	6.8985E−01
11	5.5191E−01	1.7635E+00	7.2435E−01	1.0134E+00	7.7746E−01	8.6284E−01	8.3933E−01	7.3954E−01
12	4.8305E−01	1.8879E+00	6.3546E−01	1.0815E+00	6.8237E−01	9.2026E−01	7.3692E−01	7.8843E−01
13	4.2659E−01	2.0114E+00	5.6122E−01	1.1491E+00	6.0274E−01	9.7731E−01	6.5100E−01	8.3700E−01
14	3.7980E−01	2.1340E+00	4.9853E−01	1.2164E+00	5.3532E−01	1.0342E+00	5.7811E−01	8.8540E−01
15	3.4079E−01	2.2551E+00	4.4533E−01	1.2834E+00	4.7796E−01	1.0907E+00	5.1599E−01	9.3354E−01
16	3.0800E−01	2.3742E+00	3.9996E−01	1.3496E+00	4.2892E−01	1.1466E+00	4.6279E−01	9.8122E−01
17	2.8018E−01	2.4907E+00	3.6106E−01	1.4147E+00	3.8680E−01	1.2017E+00	4.1705E−01	1.0282E+00
18	2.5637E−01	2.6042E+00	3.2754E−01	1.4785E+00	3.5048E−01	1.2557E+00	3.7756E−01	1.0743E+00
19	2.3577E−01	2.7143E+00	2.9852E−01	1.5406E+00	3.1900E−01	1.3083E+00	3.4332E−01	1.1192E+00
20	2.1778E−01	2.8210E+00	2.7325E−01	1.6009E+00	2.9159E−01	1.3594E+00	3.1351E−01	1.1629E+00
21	2.0193E−01	2.9241E+00	2.5114E−01	1.6591E+00	2.6761E−01	1.4088E+00	2.8745E−01	1.2051E+00
22	1.8785E−01	3.0238E+00	2.3167E−01	1.7153E+00	2.4654E−01	1.4565E+00	2.6454E−01	1.2458E+00
23	1.7526E−01	3.1202E+00	2.1445E−01	1.7694E+00	2.2792E−01	1.5023E+00	2.4433E−01	1.2849E+00
24	1.6391E−01	3.2135E+00	1.9914E−01	1.8214E+00	2.1138E−01	1.5464E+00	2.2641E−01	1.3226E+00
25	1.5365E−01	3.3040E+00	1.8545E−01	1.8715E+00	1.9664E−01	1.5888E+00	2.1045E−01	1.3587E+00
26	1.4433E−01	3.3917E+00	1.7317E−01	1.9196E+00	1.8343E−01	1.6295E+00	1.9617E−01	1.3935E+00
27	1.3583E−01	3.4770E+00	1.6210E−01	1.9660E+00	1.7155E−01	1.6686E+00	1.8334E−01	1.4268E+00
28	1.2806E−01	3.5599E+00	1.5208E−01	2.0107E+00	1.6082E−01	1.7063E+00	1.7176E−01	1.4589E+00
29	1.2093E−01	3.6407E+00	1.4298E−01	2.0538E+00	1.5109E−01	1.7427E+00	1.6129E−01	1.4898E+00
30	1.1438E−01	3.7195E+00	1.3469E−01	2.0955E+00	1.4224E−01	1.7778E+00	1.5177E−01	1.5197E+00
31	1.0836E−01	3.7965E+00	1.2711E−01	2.1359E+00	1.3416E−01	1.8117E+00	1.4309E−01	1.5485E+00
32	1.0281E−01	3.8717E+00	1.2017E−01	2.1751E+00	1.2677E−01	1.8446E+00	1.3516E−01	1.5764E+00
33	9.7684E−02	3.9453E+00	1.1379E−01	2.2132E+00	1.1998E−01	1.8765E+00	1.2788E−01	1.6034E+00
34	9.2946E−02	4.0173E+00	1.0791E−01	2.2502E+00	1.1374E−01	1.9075E+00	1.2119E−01	1.6297E+00
35	8.8561E−02	4.0878E+00	1.0249E−01	2.2863E+00	1.0798E−01	1.9378E+00	1.1502E−01	1.6553E+00
36	8.4496E−02	4.1570E+00	9.7470E−02	2.3215E+00	1.0265E−01	1.9672E+00	1.0932E−01	1.6803E+00
37	8.0723E−02	4.2248E+00	9.2819E−02	2.3560E+00	9.7717E−02	1.9960E+00	1.0403E−01	1.7046E+00
38	7.7217E−02	4.2913E+00	8.8500E−02	2.3897E+00	9.3137E−02	2.0242E+00	9.9132E−02	1.7284E+00
39	7.3955E−02	4.3567E+00	8.4483E−02	2.4226E+00	8.8876E−02	2.0517E+00	9.4573E−02	1.7517E+00
40	7.0915E−02	4.4209E+00	8.0739E−02	2.4550E+00	8.4906E−02	2.0788E+00	9.0324E−02	1.7746E+00
41	6.8079E−02	4.4840E+00	7.7244E−02	2.4867E+00	8.1199E−02	2.1053E+00	8.6359E−02	1.7970E+00
42	6.5429E−02	4.5460E+00	7.3977E−02	2.5179E+00	7.7735E−02	2.1313E+00	8.2651E−02	1.8190E+00
43	6.2950E−02	4.6069E+00	7.0919E−02	2.5485E+00	7.4491E−02	2.1569E+00	7.9179E−02	1.8406E+00
44	6.0628E−02	4.6669E+00	6.8051E−02	2.5786E+00	7.1448E−02	2.1820E+00	7.5923E−02	1.8619E+00
45	5.8450E−02	4.7260E+00	6.5358E−02	2.6082E+00	6.8591E−02	2.2067E+00	7.2865E−02	1.8828E+00
46	5.6404E−02	4.7841E+00	6.2826E−02	2.6373E+00	6.5905E−02	2.2311E+00	6.9990E−02	1.9034E+00
47	5.4481E−02	4.8413E+00	6.0442E−02	2.6660E+00	6.3376E−02	2.2550E+00	6.7282E−02	1.9237E+00
48	5.2670E−02	4.8977E+00	5.8195E−02	2.6942E+00	6.0991E−02	2.2786E+00	6.4729E−02	1.9436E+00
49	5.0962E−02	4.9532E+00	5.6074E−02	2.7220E+00	5.8741E−02	2.3019E+00	6.2320E−02	1.9633E+00
50	4.9350E−02	5.0080E+00	5.4070E−02	2.7494E+00	5.6614E−02	2.3248E+00	6.0043E−02	1.9827E+00
51	4.7827E−02	5.0620E+00	5.2175E−02	2.7764E+00	5.4602E−02	2.3473E+00	5.7889E−02	2.0018E+00
52	4.6385E−02	5.1152E+00	5.0380E−02	2.8029E+00	5.2697E−02	2.3696E+00	5.5849E−02	2.0206E+00
53	4.5019E−02	5.1677E+00	4.8679E−02	2.8292E+00	5.0892E−02	2.3915E+00	5.3916E−02	2.0392E+00
54	4.3724E−02	5.2196E+00	4.7064E−02	2.8550E+00	4.9178E−02	2.4131E+00	5.2082E−02	2.0575E+00
55	4.2494E−02	5.2707E+00	4.5531E−02	2.8805E+00	4.7551E−02	2.4345E+00	5.0340E−02	2.0755E+00
56	4.1325E−02	5.3212E+00	4.4073E−02	2.9056E+00	4.6005E−02	2.4555E+00	4.8685E−02	2.0933E+00
57	4.0212E−02	5.3710E+00	4.2685E−02	2.9304E+00	4.4533E−02	2.4762E+00	4.7110E−02	2.1109E+00
58	3.9152E−02	5.4202E+00	4.1364E−02	2.9548E+00	4.3132E−02	2.4966E+00	4.5610E−02	2.1282E+00
59	3.8142E−02	5.4689E+00	4.0104E−02	2.9789E+00	4.1797E−02	2.5168E+00	4.4182E−02	2.1453E+00
60	3.7177E−02	5.5169E+00	3.8902E−02	3.0027E+00	4.0523E−02	2.5367E+00	4.2820E−02	2.1621E+00

Rb; [Z=37]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.0749E+01	2.2111E−01	1.2119E+01	1.4172E−01	1.2690E+01	1.2303E−01	1.3445E+01	1.0707E−01
1	7.4644E+00	3.0977E−01	8.5844E+00	1.9532E−01	9.0189E+00	1.6907E−01	9.5832E+00	1.4675E−01
2	4.5885E+00	4.7190E−01	5.4384E+00	2.9089E−01	5.7421E+00	2.5080E−01	6.1261E+00	2.1698E−01
3	3.1976E+00	6.2097E−01	3.8864E+00	3.7750E−01	4.1196E+00	3.2470E−01	4.4079E+00	2.8041E−01
4	2.3153E+00	7.8149E−01	2.8786E+00	4.6924E−01	3.0621E+00	4.0276E−01	3.2848E+00	3.4729E−01
5	1.7283E+00	9.5641E−01	2.1871E+00	5.6771E−01	2.3332E+00	4.8632E−01	2.5080E+00	4.1874E−01
6	1.3398E+00	1.1332E+00	1.7149E+00	6.6649E−01	1.8331E+00	5.7002E−01	1.9733E+00	4.9022E−01
7	1.0768E+00	1.3008E+00	1.3879E+00	7.5987E−01	1.4856E+00	6.4908E−01	1.6009E+00	5.5771E−01
8	8.9022E−01	1.4548E+00	1.1536E+00	8.4563E−01	1.2362E+00	7.2167E−01	1.3331E+00	6.1965E−01
9	7.5122E−01	1.5969E+00	9.7851E−01	9.2448E−01	1.0495E+00	7.8835E−01	1.1326E+00	6.7652E−01
10	6.4345E−01	1.7307E+00	8.4223E−01	9.9838E−01	9.0412E−01	8.5080E−01	9.7631E−01	7.2976E−01
11	5.5732E−01	1.8592E+00	7.3272E−01	1.0689E+00	7.8717E−01	9.1038E−01	8.5050E−01	7.8052E−01
12	4.8789E−01	1.9847E+00	6.4327E−01	1.1378E+00	6.9145E−01	9.6847E−01	7.4737E−01	8.2999E−01
13	4.3092E−01	2.1084E+00	5.6877E−01	1.2055E+00	6.1155E−01	1.0257E+00	6.6115E−01	8.7870E−01
14	3.8367E−01	2.2308E+00	5.0587E−01	1.2728E+00	5.4391E−01	1.0825E+00	5.8803E−01	9.2704E−01
15	3.4425E−01	2.3519E+00	4.5242E−01	1.3396E+00	4.8629E−01	1.1389E+00	5.2562E−01	9.7510E−01
16	3.1110E−01	2.4713E+00	4.0674E−01	1.4058E+00	4.3692E−01	1.1948E+00	4.7204E−01	1.0228E+00
17	2.8300E−01	2.5883E+00	3.6749E−01	1.4712E+00	3.9440E−01	1.2501E+00	4.2585E−01	1.0700E+00
18	2.5896E−01	2.7027E+00	3.3361E−01	1.5355E+00	3.5764E−01	1.3046E+00	3.8586E−01	1.1164E+00
19	2.3819E−01	2.8141E+00	3.0422E−01	1.5984E+00	3.2572E−01	1.3578E+00	3.5109E−01	1.1618E+00
20	2.2009E−01	2.9222E+00	2.7859E−01	1.6596E+00	2.9787E−01	1.4097E+00	3.2076E−01	1.2062E+00
21	2.0416E−01	3.0270E+00	2.5613E−01	1.7190E+00	2.7347E−01	1.4601E+00	2.9419E−01	1.2493E+00
22	1.9002E−01	3.1286E+00	2.3634E−01	1.7765E+00	2.5199E−01	1.5089E+00	2.7081E−01	1.2909E+00
23	1.7739E−01	3.2269E+00	2.1883E−01	1.8320E+00	2.3300E−01	1.5560E+00	2.5014E−01	1.3312E+00
24	1.6602E−01	3.3222E+00	2.0325E−01	1.8855E+00	2.1613E−01	1.6014E+00	2.3181E−01	1.3700E+00
25	1.5574E−01	3.4146E+00	1.8932E−01	1.9370E+00	2.0107E−01	1.6451E+00	2.1547E−01	1.4073E+00
26	1.4639E−01	3.5043E+00	1.7681E−01	1.9867E+00	1.8758E−01	1.6872E+00	2.0084E−01	1.4433E+00
27	1.3786E−01	3.5916E+00	1.6554E−01	2.0346E+00	1.7544E−01	1.7277E+00	1.8770E−01	1.4778E+00
28	1.3005E−01	3.6765E+00	1.5533E−01	2.0808E+00	1.6447E−01	1.7667E+00	1.7585E−01	1.5111E+00
29	1.2289E−01	3.7592E+00	1.4606E−01	2.1254E+00	1.5453E−01	1.8043E+00	1.6512E−01	1.5431E+00
30	1.1630E−01	3.8399E+00	1.3761E−01	2.1685E+00	1.4548E−01	1.8406E+00	1.5537E−01	1.5740E+00
31	1.1022E−01	3.9188E+00	1.2988E−01	2.2102E+00	1.3722E−01	1.8757E+00	1.4648E−01	1.6039E+00
32	1.0462E−01	3.9958E+00	1.2280E−01	2.2506E+00	1.2967E−01	1.9097E+00	1.3835E−01	1.6327E+00
33	9.9441E−02	4.0712E+00	1.1629E−01	2.2899E+00	1.2273E−01	1.9427E+00	1.3090E−01	1.6607E+00
34	9.4648E−02	4.1451E+00	1.1029E−01	2.3281E+00	1.1635E−01	1.9747E+00	1.2405E−01	1.6879E+00
35	9.0205E−02	4.2174E+00	1.0476E−01	2.3653E+00	1.1046E−01	2.0059E+00	1.1773E−01	1.7143E+00
36	8.6083E−02	4.2883E+00	9.9637E−02	2.4016E+00	1.0501E−01	2.0363E+00	1.1190E−01	1.7400E+00
37	8.2254E−02	4.3579E+00	9.4889E−02	2.4370E+00	9.9967E−02	2.0659E+00	1.0649E−01	1.7651E+00
38	7.8692E−02	4.4262E+00	9.0478E−02	2.4716E+00	9.5284E−02	2.0949E+00	1.0148E−01	1.7896E+00
39	7.5374E−02	4.4932E+00	8.6375E−02	2.5055E+00	9.0928E−02	2.1232E+00	9.6810E−02	1.8135E+00
40	7.2281E−02	4.5591E+00	8.2550E−02	2.5387E+00	8.6869E−02	2.1509E+00	9.2464E−02	1.8370E+00
41	6.9394E−02	4.6238E+00	7.8981E−02	2.5713E+00	8.3081E−02	2.1781E+00	8.8409E−02	1.8600E+00
42	6.6695E−02	4.6875E+00	7.5644E−02	2.6032E+00	7.9540E−02	2.2048E+00	8.4617E−02	1.8825E+00
43	6.4170E−02	4.7500E+00	7.2519E−02	2.6346E+00	7.6224E−02	2.2310E+00	8.1067E−02	1.9047E+00
44	6.1804E−02	4.8116E+00	6.9589E−02	2.6654E+00	7.3115E−02	2.2567E+00	7.7738E−02	1.9264E+00
45	5.9584E−02	4.8722E+00	6.6838E−02	2.6957E+00	7.0195E−02	2.2820E+00	7.4612E−02	1.9478E+00
46	5.7500E−02	4.9319E+00	6.4251E−02	2.7255E+00	6.7450E−02	2.3069E+00	7.1672E−02	1.9689E+00
47	5.5540E−02	4.9906E+00	6.1816E−02	2.7548E+00	6.4865E−02	2.3314E+00	6.8904E−02	1.9896E+00
48	5.3694E−02	5.0485E+00	5.9522E−02	2.7837E+00	6.2429E−02	2.3556E+00	6.6295E−02	2.0100E+00
49	5.1954E−02	5.1055E+00	5.7356E−02	2.8122E+00	6.0129E−02	2.3793E+00	6.3833E−02	2.0301E+00
50	5.0313E−02	5.1617E+00	5.5310E−02	2.8402E+00	5.7957E−02	2.4027E+00	6.1506E−02	2.0499E+00
51	4.8762E−02	5.2171E+00	5.3374E−02	2.8678E+00	5.5902E−02	2.4258E+00	5.9304E−02	2.0694E+00
52	4.7295E−02	5.2718E+00	5.1542E−02	2.8950E+00	5.3956E−02	2.4485E+00	5.7220E−02	2.0887E+00
53	4.5905E−02	5.3257E+00	4.9805E−02	2.9218E+00	5.2111E−02	2.4710E+00	5.5244E−02	2.1077E+00
54	4.4588E−02	5.3789E+00	4.8157E−02	2.9482E+00	5.0361E−02	2.4931E+00	5.3370E−02	2.1264E+00
55	4.3338E−02	5.4314E+00	4.6592E−02	2.9743E+00	4.8699E−02	2.5149E+00	5.1590E−02	2.1448E+00
56	4.2151E−02	5.4832E+00	4.5104E−02	3.0000E+00	4.7120E−02	2.5364E+00	4.9898E−02	2.1630E+00
57	4.1021E−02	5.5344E+00	4.3687E−02	3.0254E+00	4.5616E−02	2.5576E+00	4.8288E−02	2.1810E+00
58	3.9946E−02	5.5849E+00	4.2339E−02	3.0504E+00	4.4185E−02	2.5785E+00	4.6755E−02	2.1987E+00
59	3.8922E−02	5.6348E+00	4.1053E−02	3.0751E+00	4.2821E−02	2.5991E+00	4.5295E−02	2.2162E+00
60	3.7945E−02	5.6842E+00	3.9826E−02	3.0994E+00	4.1520E−02	2.6195E+00	4.3902E−02	2.2334E+00

Sr; [Z=38]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.2019E+01	2.2526E−01	1.3533E+01	1.4349E−01	1.4169E+01	1.2451E−01	1.5012E+01	1.0832E−01
1	8.6382E+00	3.0252E−01	9.8978E+00	1.9041E−01	1.0394E+01	1.6486E−01	1.1042E+01	1.4313E−01
2	4.9783E+00	4.8384E−01	5.8977E+00	2.9752E−01	6.2275E+00	2.5654E−01	6.6448E+00	2.2199E−01
3	3.2826E+00	6.6408E−01	3.9973E+00	4.0195E−01	4.2396E+00	3.4563E−01	4.5385E+00	2.9847E−01
4	2.3569E+00	8.3296E−01	2.9372E+00	4.9862E−01	3.1267E+00	4.2793E−01	3.3560E+00	3.6900E−01
5	1.7627E+00	1.0073E+00	2.2376E+00	5.9710E−01	2.3891E+00	5.1157E−01	2.5700E+00	4.4057E−01
6	1.3655E+00	1.1853E+00	1.7550E+00	6.9681E−01	1.8778E+00	5.9611E−01	2.0232E+00	5.1281E−01
7	1.0942E+00	1.3580E+00	1.4164E+00	7.9333E−01	1.5177E+00	6.7788E−01	1.6370E+00	5.8264E−01
8	9.0209E−01	1.5193E+00	1.1730E+00	8.8345E−01	1.2582E+00	7.5420E−01	1.3581E+00	6.4779E−01
9	7.5997E−01	1.6683E+00	9.9209E−01	9.6652E−01	1.0651E+00	8.2451E−01	1.1503E+00	7.0779E−01
10	6.5046E−01	1.8072E+00	8.5254E−01	1.0436E+00	9.1597E−01	8.8973E−01	9.8987E−01	7.6342E−01
11	5.6327E−01	1.9391E+00	7.4120E−01	1.1164E+00	7.9694E−01	9.5123E−01	8.6170E−01	8.1584E−01
12	4.9310E−01	2.0663E+00	6.5094E−01	1.1864E+00	7.0031E−01	1.0103E+00	7.5755E−01	8.6619E−01
13	4.3555E−01	2.1908E+00	5.7601E−01	1.2547E+00	6.1995E−01	1.0680E+00	6.7081E−01	9.1531E−01
14	3.8776E−01	2.3135E+00	5.1280E−01	1.3221E+00	5.5200E−01	1.1249E+00	5.9736E−01	9.6377E−01
15	3.4785E−01	2.4347E+00	4.5908E−01	1.3889E+00	4.9411E−01	1.1813E+00	5.3465E−01	1.0118E+00
16	3.1429E−01	2.5542E+00	4.1312E−01	1.4551E+00	4.4444E−01	1.2373E+00	4.8076E−01	1.0595E+00
17	2.8584E−01	2.6716E+00	3.7357E−01	1.5206E+00	4.0159E−01	1.2926E+00	4.3418E−01	1.1067E+00
18	2.6152E−01	2.7867E+00	3.3937E−01	1.5852E+00	3.6446E−01	1.3473E+00	3.9377E−01	1.1534E+00
19	2.4055E−01	2.8990E+00	3.0964E−01	1.6486E+00	3.3215E−01	1.4010E+00	3.5856E−01	1.1992E+00
20	2.2229E−01	3.0084E+00	2.8369E−01	1.7105E+00	3.0391E−01	1.4535E+00	3.2777E−01	1.2441E+00
21	2.0626E−01	3.1147E+00	2.6092E−01	1.7709E+00	2.7912E−01	1.5048E+00	3.0074E−01	1.2879E+00
22	1.9206E−01	3.2178E+00	2.4084E−01	1.8295E+00	2.5728E−01	1.5545E+00	2.7691E−01	1.3304E+00
23	1.7938E−01	3.3179E+00	2.2306E−01	1.8862E+00	2.3795E−01	1.6027E+00	2.5584E−01	1.3716E+00
24	1.6798E−01	3.4150E+00	2.0722E−01	1.9411E+00	2.2075E−01	1.6493E+00	2.3712E−01	1.4115E+00
25	1.5767E−01	3.5092E+00	1.9307E−01	1.9941E+00	2.0540E−01	1.6942E+00	2.2042E−01	1.4499E+00
26	1.4830E−01	3.6008E+00	1.8035E−01	2.0452E+00	1.9164E−01	1.7376E+00	2.0546E−01	1.4869E+00
27	1.3974E−01	3.6899E+00	1.6888E−01	2.0945E+00	1.7926E−01	1.7794E+00	1.9202E−01	1.5226E+00
28	1.3191E−01	3.7767E+00	1.5850E−01	2.1422E+00	1.6806E−01	1.8197E+00	1.7990E−01	1.5570E+00
29	1.2472E−01	3.8613E+00	1.4906E−01	2.1882E+00	1.5791E−01	1.8586E+00	1.6892E−01	1.5902E+00
30	1.1810E−01	3.9438E+00	1.4046E−01	2.2327E+00	1.4868E−01	1.8961E+00	1.5894E−01	1.6222E+00
31	1.1199E−01	4.0245E+00	1.3260E−01	2.2757E+00	1.4025E−01	1.9324E+00	1.4984E−01	1.6531E+00
32	1.0634E−01	4.1034E+00	1.2538E−01	2.3175E+00	1.3253E−01	1.9676E+00	1.4153E−01	1.6830E+00
33	1.0112E−01	4.1806E+00	1.1875E−01	2.3580E+00	1.2545E−01	2.0016E+00	1.3390E−01	1.7119E+00
34	9.6275E−02	4.2561E+00	1.1264E−01	2.3974E+00	1.1893E−01	2.0347E+00	1.2689E−01	1.7399E+00
35	9.1783E−02	4.3302E+00	1.0700E−01	2.4357E+00	1.1291E−01	2.0668E+00	1.2043E−01	1.7672E+00
36	8.7611E−02	4.4029E+00	1.0177E−01	2.4730E+00	1.0735E−01	2.0981E+00	1.1446E−01	1.7937E+00
37	8.3730E−02	4.4742E+00	9.6931E−02	2.5095E+00	1.0220E−01	2.1286E+00	1.0893E−01	1.8196E+00
38	8.0118E−02	4.5442E+00	9.2431E−02	2.5451E+00	9.7412E−02	2.1584E+00	1.0380E−01	1.8448E+00
39	7.6751E−02	4.6129E+00	8.8244E−02	2.5799E+00	9.2962E−02	2.1876E+00	9.9033E−02	1.8694E+00
40	7.3609E−02	4.6805E+00	8.4341E−02	2.6140E+00	8.8816E−02	2.2160E+00	9.4590E−02	1.8935E+00
41	7.0674E−02	4.7469E+00	8.0697E−02	2.6474E+00	8.4946E−02	2.2439E+00	9.0444E−02	1.9171E+00
42	6.7930E−02	4.8122E+00	7.7291E−02	2.6801E+00	8.1328E−02	2.2713E+00	8.6568E−02	1.9402E+00
43	6.5360E−02	4.8764E+00	7.4101E−02	2.7123E+00	7.7941E−02	2.2982E+00	8.2940E−02	1.9629E+00
44	6.2952E−02	4.9396E+00	7.1109E−02	2.7439E+00	7.4764E−02	2.3245E+00	7.9538E−02	1.9852E+00
45	6.0693E−02	5.0017E+00	6.8300E−02	2.7749E+00	7.1782E−02	2.3504E+00	7.6343E−02	2.0071E+00
46	5.8570E−02	5.0630E+00	6.5660E−02	2.8054E+00	6.8978E−02	2.3759E+00	7.3340E−02	2.0286E+00
47	5.6575E−02	5.1233E+00	6.3174E−02	2.8354E+00	6.6338E−02	2.4010E+00	7.0512E−02	2.0498E+00
48	5.4696E−02	5.1827E+00	6.0831E−02	2.8650E+00	6.3850E−02	2.4256E+00	6.7846E−02	2.0707E+00
49	5.2925E−02	5.2412E+00	5.8621E−02	2.8941E+00	6.1502E−02	2.4499E+00	6.5330E−02	2.0912E+00
50	5.1254E−02	5.2989E+00	5.6532E−02	2.9227E+00	5.9284E−02	2.4739E+00	6.2953E−02	2.1115E+00
51	4.9676E−02	5.3558E+00	5.4557E−02	2.9510E+00	5.7185E−02	2.4975E+00	6.0704E−02	2.1314E+00
52	4.8183E−02	5.4119E+00	5.2687E−02	2.9788E+00	5.5198E−02	2.5207E+00	5.8575E−02	2.1511E+00
53	4.6770E−02	5.4672E+00	5.0915E−02	3.0062E+00	5.3315E−02	2.5436E+00	5.6557E−02	2.1705E+00
54	4.5432E−02	5.5218E+00	4.9233E−02	3.0333E+00	5.1529E−02	2.5662E+00	5.4643E−02	2.1896E+00
55	4.4162E−02	5.5757E+00	4.7636E−02	3.0599E+00	4.9832E−02	2.5885E+00	5.2825E−02	2.2085E+00
56	4.2956E−02	5.6289E+00	4.6118E−02	3.0863E+00	4.8219E−02	2.6105E+00	5.1096E−02	2.2271E+00
57	4.1810E−02	5.6814E+00	4.4674E−02	3.1122E+00	4.6685E−02	2.6322E+00	4.9452E−02	2.2454E+00
58	4.0720E−02	5.7333E+00	4.3298E−02	3.1378E+00	4.5224E−02	2.6536E+00	4.7887E−02	2.2635E+00
59	3.9682E−02	5.7846E+00	4.1987E−02	3.1630E+00	4.3832E−02	2.6747E+00	4.6395E−02	2.2814E+00
60	3.8692E−02	5.8352E+00	4.0736E−02	3.1880E+00	4.2504E−02	2.6955E+00	4.4973E−02	2.2990E+00

Y; [Z=39]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.1519E+01	2.4347E−01	1.3035E+01	1.5527E−01	1.3660E+01	1.3481E−01	1.4482E+01	1.1736E−01
1	8.6824E+00	3.1259E−01	9.9798E+00	1.9728E−01	1.0486E+01	1.7095E−01	1.1145E+01	1.4854E−01
2	5.1872E+00	4.8364E−01	6.1563E+00	2.9865E−01	6.5034E+00	2.5779E−01	6.9418E+00	2.2327E−01
3	3.3892E+00	6.7070E−01	4.1376E+00	4.0719E−01	4.3911E+00	3.5045E−01	4.7031E+00	3.0285E−01
4	2.4133E+00	8.4790E−01	3.0161E+00	5.0877E−01	3.2130E+00	4.3697E−01	3.4509E+00	3.7704E−01
5	1.7998E+00	1.0263E+00	2.2923E+00	6.0983E−01	2.4495E+00	5.2285E−01	2.6368E+00	4.5056E−01
6	1.3913E+00	1.2077E+00	1.7950E+00	7.1169E−01	1.9225E+00	6.0927E−01	2.0730E+00	5.2444E−01
7	1.1119E+00	1.3854E+00	1.4451E+00	8.1123E−01	1.5501E+00	6.9364E−01	1.6733E+00	5.9653E−01
8	9.1454E−01	1.5531E+00	1.1932E+00	9.0521E−01	1.2812E+00	7.7327E−01	1.3841E+00	6.6453E−01
9	7.6927E−01	1.7084E+00	1.0066E+00	9.9222E−01	1.0816E+00	8.4698E−01	1.1691E+00	7.2746E−01
10	6.5792E−01	1.8527E+00	8.6348E−01	1.0727E+00	9.2851E−01	9.1510E−01	1.0042E+00	7.8560E−01
11	5.6956E−01	1.9884E+00	7.5004E−01	1.1480E+00	8.0708E−01	9.7876E−01	8.7329E−01	8.3990E−01
12	4.9858E−01	2.1181E+00	6.5865E−01	1.2196E+00	7.0918E−01	1.0393E+00	7.6771E−01	8.9147E−01
13	4.4037E−01	2.2440E+00	5.8307E−01	1.2888E+00	6.2811E−01	1.0977E+00	6.8019E−01	9.4129E−01
14	3.9199E−01	2.3674E+00	5.1945E−01	1.3566E+00	5.5973E−01	1.1550E+00	6.0626E−01	9.9008E−01
15	3.5157E−01	2.4889E+00	4.6542E−01	1.4236E+00	5.0151E−01	1.2115E+00	5.4321E−01	1.0382E+00
16	3.1755E−01	2.6086E+00	4.1917E−01	1.4898E+00	4.5155E−01	1.2675E+00	4.8899E−01	1.0859E+00
17	2.8871E−01	2.7264E+00	3.7933E−01	1.5554E+00	4.0839E−01	1.3230E+00	4.4209E−01	1.1332E+00
18	2.6408E−01	2.8421E+00	3.4483E−01	1.6202E+00	3.7094E−01	1.3778E+00	4.0131E−01	1.1800E+00
19	2.4287E−01	2.9552E+00	3.1481E−01	1.6839E+00	3.3828E−01	1.4318E+00	3.6571E−01	1.2261E+00
20	2.2443E−01	3.0656E+00	2.8856E−01	1.7465E+00	3.0970E−01	1.4849E+00	3.3451E−01	1.2714E+00
21	2.0827E−01	3.1732E+00	2.6551E−01	1.8076E+00	2.8457E−01	1.5367E+00	3.0707E−01	1.3157E+00
22	1.9398E−01	3.2777E+00	2.4516E−01	1.8671E+00	2.6240E−01	1.5873E+00	2.8286E−01	1.3590E+00
23	1.8124E−01	3.3793E+00	2.2713E−01	1.9250E+00	2.4275E−01	1.6364E+00	2.6140E−01	1.4010E+00
24	1.6980E−01	3.4781E+00	2.1107E−01	1.9810E+00	2.2526E−01	1.6840E+00	2.4232E−01	1.4418E+00
25	1.5947E−01	3.5740E+00	1.9670E−01	2.0353E+00	2.0964E−01	1.7301E+00	2.2528E−01	1.4812E+00
26	1.5008E−01	3.6674E+00	1.8379E−01	2.0877E+00	1.9563E−01	1.7747E+00	2.1002E−01	1.5193E+00
27	1.4151E−01	3.7582E+00	1.7214E−01	2.1385E+00	1.8301E−01	1.8177E+00	1.9629E−01	1.5561E+00
28	1.3366E−01	3.8467E+00	1.6159E−01	2.1875E+00	1.7160E−01	1.8592E+00	1.8390E−01	1.5915E+00
29	1.2644E−01	3.9331E+00	1.5200E−01	2.2348E+00	1.6125E−01	1.8993E+00	1.7268E−01	1.6258E+00
30	1.1980E−01	4.0174E+00	1.4326E−01	2.2807E+00	1.5183E−01	1.9381E+00	1.6248E−01	1.6588E+00
31	1.1366E−01	4.0998E+00	1.3526E−01	2.3251E+00	1.4324E−01	1.9756E+00	1.5319E−01	1.6908E+00
32	1.0798E−01	4.1804E+00	1.2792E−01	2.3681E+00	1.3536E−01	2.0118E+00	1.4469E−01	1.7217E+00
33	1.0272E−01	4.2593E+00	1.2118E−01	2.4099E+00	1.2814E−01	2.0470E+00	1.3689E−01	1.7515E+00
34	9.7840E−02	4.3366E+00	1.1495E−01	2.4504E+00	1.2149E−01	2.0811E+00	1.2973E−01	1.7805E+00
35	9.3308E−02	4.4124E+00	1.0921E−01	2.4899E+00	1.1535E−01	2.1143E+00	1.2312E−01	1.8087E+00
36	8.9092E−02	4.4868E+00	1.0389E−01	2.5283E+00	1.0967E−01	2.1465E+00	1.1702E−01	1.8360E+00
37	8.5168E−02	4.5597E+00	9.8954E−02	2.5658E+00	1.0441E−01	2.1779E+00	1.1137E−01	1.8627E+00
38	8.1511E−02	4.6314E+00	9.4368E−02	2.6024E+00	9.9529E−02	2.2086E+00	1.0612E−01	1.8886E+00
39	7.8099E−02	4.7018E+00	9.0099E−02	2.6382E+00	9.4986E−02	2.2385E+00	1.0125E−01	1.9139E+00
40	7.4914E−02	4.7710E+00	8.6120E−02	2.6732E+00	9.0753E−02	2.2678E+00	9.6709E−02	1.9387E+00
41	7.1935E−02	4.8391E+00	8.2403E−02	2.7075E+00	8.6802E−02	2.2964E+00	9.2472E−02	1.9629E+00
42	6.9149E−02	4.9060E+00	7.8928E−02	2.7411E+00	8.3108E−02	2.3245E+00	8.8512E−02	1.9867E+00
43	6.6538E−02	4.9718E+00	7.5674E−02	2.7741E+00	7.9649E−02	2.3520E+00	8.4805E−02	2.0099E+00
44	6.4090E−02	5.0366E+00	7.2622E−02	2.8064E+00	7.6406E−02	2.3791E+00	8.1329E−02	2.0328E+00
45	6.1793E−02	5.1004E+00	6.9756E−02	2.8382E+00	7.3361E−02	2.4056E+00	7.8066E−02	2.0552E+00
46	5.9634E−02	5.1632E+00	6.7061E−02	2.8695E+00	7.0498E−02	2.4317E+00	7.4998E−02	2.0773E+00
47	5.7604E−02	5.2250E+00	6.4525E−02	2.9002E+00	6.7803E−02	2.4573E+00	7.2109E−02	2.0989E+00
48	5.5692E−02	5.2860E+00	6.2134E−02	2.9305E+00	6.5263E−02	2.4826E+00	6.9387E−02	2.1203E+00
49	5.3891E−02	5.3460E+00	5.9878E−02	2.9602E+00	6.2866E−02	2.5074E+00	6.6818E−02	2.1413E+00
50	5.2191E−02	5.4052E+00	5.7747E−02	2.9895E+00	6.0601E−02	2.5319E+00	6.4390E−02	2.1620E+00
51	5.0585E−02	5.4636E+00	5.5732E−02	3.0184E+00	5.8459E−02	2.5560E+00	6.2094E−02	2.1823E+00
52	4.9067E−02	5.5212E+00	5.3824E−02	3.0469E+00	5.6431E−02	2.5798E+00	5.9920E−02	2.2024E+00
53	4.7631E−02	5.5780E+00	5.2016E−02	3.0749E+00	5.4509E−02	2.6032E+00	5.7860E−02	2.2222E+00
54	4.6270E−02	5.6340E+00	5.0300E−02	3.1026E+00	5.2686E−02	2.6263E+00	5.5905E−02	2.2418E+00
55	4.4980E−02	5.6893E+00	4.8671E−02	3.1298E+00	5.0955E−02	2.6491E+00	5.4049E−02	2.2610E+00
56	4.3756E−02	5.7439E+00	4.7123E−02	3.1567E+00	4.9309E−02	2.6715E+00	5.2284E−02	2.2800E+00
57	4.2593E−02	5.7979E+00	4.5650E−02	3.1833E+00	4.7743E−02	2.6937E+00	5.0606E−02	2.2988E+00
58	4.1486E−02	5.8511E+00	4.4248E−02	3.2094E+00	4.6252E−02	2.7156E+00	4.9008E−02	2.3173E+00
59	4.0434E−02	5.9037E+00	4.2911E−02	3.2353E+00	4.4832E−02	2.7371E+00	4.7485E−02	2.3355E+00
60	3.9431E−02	5.9557E+00	4.1636E−02	3.2608E+00	4.3477E−02	2.7584E+00	4.6033E−02	2.3536E+00

Zr; [Z=40]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.0956E+01	2.5995E−01	1.2463E+01	1.6634E−01	1.3073E+01	1.4456E−01	1.3869E+01	1.2595E−01
1	8.5337E+00	3.2396E−01	9.8489E+00	2.0528E−01	1.0357E+01	1.7807E−01	1.1014E+01	1.5486E−01
2	5.2935E+00	4.8516E−01	6.2997E+00	3.0108E−01	6.6589E+00	2.6020E−01	7.1114E+00	2.2558E−01
3	3.4785E+00	6.7142E−01	4.2594E+00	4.0944E−01	4.5235E+00	3.5277E−01	4.8476E+00	3.0513E−01
4	2.4695E+00	8.5310E−01	3.0966E+00	5.1379E−01	3.3015E+00	4.4170E−01	3.5482E+00	3.8142E−01
5	1.8376E+00	1.0354E+00	2.3489E+00	6.1732E−01	2.5123E+00	5.2974E−01	2.7064E+00	4.5682E−01
6	1.4175E+00	1.2205E+00	1.8362E+00	7.2149E−01	1.9687E+00	6.1817E−01	2.1246E+00	5.3247E−01
7	1.1302E+00	1.4030E+00	1.4749E+00	8.2396E−01	1.5838E+00	7.0508E−01	1.7112E+00	6.0675E−01
8	9.2756E−01	1.5767E+00	1.2146E+00	9.2158E−01	1.3055E+00	7.8784E−01	1.4116E+00	6.7747E−01
9	7.7909E−01	1.7383E+00	1.0221E+00	1.0125E+00	1.0993E+00	8.6489E−01	1.1892E+00	7.4329E−01
10	6.6583E−01	1.8880E+00	8.7514E−01	1.0965E+00	9.4184E−01	9.3607E−01	1.0194E+00	8.0407E−01
11	5.7622E−01	2.0281E+00	7.5930E−01	1.1746E+00	8.1767E−01	1.0022E+00	8.8538E−01	8.6048E−01
12	5.0439E−01	2.1609E+00	6.6650E−01	1.2482E+00	7.1817E−01	1.0645E+00	7.7799E−01	9.1360E−01
13	4.4547E−01	2.2888E+00	5.9008E−01	1.3188E+00	6.3616E−01	1.1241E+00	6.8941E−01	9.6441E−01
14	3.9646E−01	2.4133E+00	5.2592E−01	1.3873E+00	5.6719E−01	1.1820E+00	6.1484E−01	1.0137E+00
15	3.5547E−01	2.5355E+00	4.7150E−01	1.4546E+00	5.0858E−01	1.2388E+00	5.5136E−01	1.0622E+00
16	3.2095E−01	2.6557E+00	4.2494E−01	1.5210E+00	4.5830E−01	1.2949E+00	4.9681E−01	1.1100E+00
17	2.9169E−01	2.7740E+00	3.8481E−01	1.5867E+00	4.1485E−01	1.3504E+00	4.4958E−01	1.1573E+00
18	2.6670E−01	2.8901E+00	3.5003E−01	1.6516E+00	3.7709E−01	1.4054E+00	4.0847E−01	1.2042E+00
19	2.4520E−01	3.0040E+00	3.1973E−01	1.7156E+00	3.4414E−01	1.4596E+00	3.7253E−01	1.2505E+00
20	2.2655E−01	3.1153E+00	2.9321E−01	1.7786E+00	3.1524E−01	1.5130E+00	3.4098E−01	1.2961E+00
21	2.1023E−01	3.2239E+00	2.6990E−01	1.8403E+00	2.8981E−01	1.5654E+00	3.1319E−01	1.3408E+00
22	1.9582E−01	3.3297E+00	2.4931E−01	1.9006E+00	2.6734E−01	1.6166E+00	2.8861E−01	1.3846E+00
23	1.8300E−01	3.4327E+00	2.3105E−01	1.9594E+00	2.4740E−01	1.6665E+00	2.6681E−01	1.4274E+00
24	1.7151E−01	3.5329E+00	2.1477E−01	2.0165E+00	2.2964E−01	1.7151E+00	2.4739E−01	1.4689E+00
25	1.6115E−01	3.6304E+00	2.0020E−01	2.0719E+00	2.1376E−01	1.7622E+00	2.3005E−01	1.5092E+00
26	1.5173E−01	3.7253E+00	1.8711E−01	2.1256E+00	1.9951E−01	1.8078E+00	2.1449E−01	1.5483E+00
27	1.4315E−01	3.8178E+00	1.7529E−01	2.1776E+00	1.8667E−01	1.8519E+00	2.0050E−01	1.5861E+00
28	1.3528E−01	3.9079E+00	1.6459E−01	2.2279E+00	1.7506E−01	1.8946E+00	1.8785E−01	1.6226E+00
29	1.2805E−01	3.9959E+00	1.5486E−01	2.2766E+00	1.6453E−01	1.9359E+00	1.7640E−01	1.6579E+00
30	1.2139E−01	4.0819E+00	1.4598E−01	2.3237E+00	1.5494E−01	1.9758E+00	1.6599E−01	1.6919E+00
31	1.1523E−01	4.1659E+00	1.3786E−01	2.3694E+00	1.4618E−01	2.0145E+00	1.5650E−01	1.7249E+00
32	1.0953E−01	4.2482E+00	1.3040E−01	2.4137E+00	1.3816E−01	2.0519E+00	1.4782E−01	1.7568E+00
33	1.0424E−01	4.3288E+00	1.2355E−01	2.4567E+00	1.3079E−01	2.0881E+00	1.3986E−01	1.7876E+00
34	9.9331E−02	4.4077E+00	1.1723E−01	2.4985E+00	1.2401E−01	2.1233E+00	1.3254E−01	1.8176E+00
35	9.4765E−02	4.4852E+00	1.1138E−01	2.5391E+00	1.1776E−01	2.1575E+00	1.2579E−01	1.8466E+00
36	9.0514E−02	4.5612E+00	1.0597E−01	2.5786E+00	1.1197E−01	2.1907E+00	1.1956E−01	1.8748E+00
37	8.6553E−02	4.6358E+00	1.0095E−01	2.6172E+00	1.0661E−01	2.2231E+00	1.1379E−01	1.9023E+00
38	8.2857E−02	4.7091E+00	9.6279E−02	2.6548E+00	1.0163E−01	2.2546E+00	1.0843E−01	1.9290E+00
39	7.9406E−02	4.7812E+00	9.1932E−02	2.6916E+00	9.6993E−02	2.2854E+00	1.0345E−01	1.9551E+00
40	7.6181E−02	4.8520E+00	8.7879E−02	2.7275E+00	9.2675E−02	2.3155E+00	9.8816E−02	1.9805E+00
41	7.3164E−02	4.9217E+00	8.4092E−02	2.7627E+00	8.8643E−02	2.3449E+00	9.4489E−02	2.0054E+00
42	7.0339E−02	4.9902E+00	8.0550E−02	2.7972E+00	8.4875E−02	2.3737E+00	9.0445E−02	2.0298E+00
43	6.7690E−02	5.0576E+00	7.7233E−02	2.8310E+00	8.1346E−02	2.4019E+00	8.6659E−02	2.0537E+00
44	6.5206E−02	5.1240E+00	7.4121E−02	2.8642E+00	7.8036E−02	2.4296E+00	8.3110E−02	2.0771E+00
45	6.2873E−02	5.1894E+00	7.1199E−02	2.8968E+00	7.4929E−02	2.4568E+00	7.9778E−02	2.1000E+00
46	6.0680E−02	5.2537E+00	6.8451E−02	2.9288E+00	7.2008E−02	2.4835E+00	7.6646E−02	2.1226E+00
47	5.8617E−02	5.3172E+00	6.5864E−02	2.9602E+00	6.9257E−02	2.5098E+00	7.3697E−02	2.1448E+00
48	5.6674E−02	5.3797E+00	6.3426E−02	2.9912E+00	6.6665E−02	2.5356E+00	7.0918E−02	2.1666E+00
49	5.4842E−02	5.4412E+00	6.1125E−02	3.0216E+00	6.4219E−02	2.5610E+00	6.8295E−02	2.1881E+00
50	5.3114E−02	5.5020E+00	5.8952E−02	3.0516E+00	6.1908E−02	2.5861E+00	6.5817E−02	2.2092E+00
51	5.1482E−02	5.5619E+00	5.6896E−02	3.0812E+00	5.9723E−02	2.6107E+00	6.3473E−02	2.2301E+00
52	4.9939E−02	5.6209E+00	5.4950E−02	3.1102E+00	5.7654E−02	2.6350E+00	6.1254E−02	2.2506E+00
53	4.8480E−02	5.6792E+00	5.3107E−02	3.1389E+00	5.5693E−02	2.6589E+00	5.9151E−02	2.2708E+00
54	4.7097E−02	5.7367E+00	5.1357E−02	3.1672E+00	5.3833E−02	2.6825E+00	5.7156E−02	2.2908E+00
55	4.5787E−02	5.7934E+00	4.9697E−02	3.1951E+00	5.2066E−02	2.7058E+00	5.5262E−02	2.3104E+00
56	4.4543E−02	5.8495E+00	4.8118E−02	3.2226E+00	5.0388E−02	2.7287E+00	5.3461E−02	2.3298E+00
57	4.3363E−02	5.9048E+00	4.6616E−02	3.2497E+00	4.8791E−02	2.7514E+00	5.1748E−02	2.3490E+00
58	4.2241E−02	5.9595E+00	4.5187E−02	3.2764E+00	4.7270E−02	2.7737E+00	5.0117E−02	2.3679E+00
59	4.1173E−02	6.0135E+00	4.3825E−02	3.3029E+00	4.5821E−02	2.7958E+00	4.8563E−02	2.3865E+00
60	4.0157E−02	6.0668E+00	4.2525E−02	3.3289E+00	4.4440E−02	2.8175E+00	4.7081E−02	2.4049E+00

Nb; [Z=41]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	9.4533E+00	2.8664E−01	1.0859E+01	1.8480E−01	1.1409E+01	1.6086E−01	1.2118E+01	1.4036E−01
1	7.6822E+00	3.4475E−01	8.9406E+00	2.2013E−01	9.4162E+00	1.9125E−01	1.0025E+01	1.6655E−01
2	5.1468E+00	4.8463E−01	6.1561E+00	3.0354E−01	6.5136E+00	2.6282E−01	6.9617E+00	2.2818E−01
3	3.5240E+00	6.5147E−01	4.3323E+00	4.0115E−01	4.6046E+00	3.4630E−01	4.9378E+00	2.9999E−01
4	2.5263E+00	8.2739E−01	3.1820E+00	5.0257E−01	3.3955E+00	4.3281E−01	3.6520E+00	3.7425E−01
5	1.8783E+00	1.0119E+00	2.4129E+00	6.0756E−01	2.5834E+00	5.2214E−01	2.7854E+00	4.5081E−01
6	1.4447E+00	1.2020E+00	1.8811E+00	7.1480E−01	2.0190E+00	6.1323E−01	2.1809E+00	5.2876E−01
7	1.1487E+00	1.3907E+00	1.5062E+00	8.2099E−01	1.6193E+00	7.0334E−01	1.7512E+00	6.0581E−01
8	9.4076E−01	1.5711E+00	1.2367E+00	9.2265E−01	1.3307E+00	7.8958E−01	1.4402E+00	6.7953E−01
9	7.8916E−01	1.7391E+00	1.0381E+00	1.0176E+00	1.1176E+00	8.7009E−01	1.2101E+00	7.4834E−01
10	6.7400E−01	1.8945E+00	8.8722E−01	1.1052E+00	9.5563E−01	9.4440E−01	1.0351E+00	8.1184E−01
11	5.8313E−01	2.0391E+00	7.6884E−01	1.1863E+00	8.2855E−01	1.0131E+00	8.9780E−01	8.7049E−01
12	5.1041E−01	2.1753E+00	6.7448E−01	1.2622E+00	7.2726E−01	1.0773E+00	7.8837E−01	9.2532E−01
13	4.5075E−01	2.3056E+00	5.9707E−01	1.3343E+00	6.4415E−01	1.1383E+00	6.9855E−01	9.7732E−01
14	4.0110E−01	2.4317E+00	5.3226E−01	1.4038E+00	5.7448E−01	1.1971E+00	6.2320E−01	1.0274E+00
15	3.5951E−01	2.5549E+00	4.7740E−01	1.4716E+00	5.1539E−01	1.2544E+00	5.5921E−01	1.0762E+00
16	3.2447E−01	2.6757E+00	4.3048E−01	1.5383E+00	4.6475E−01	1.3107E+00	5.0427E−01	1.1243E+00
17	2.9475E−01	2.7945E+00	3.9005E−01	1.6042E+00	4.2099E−01	1.3664E+00	4.5672E−01	1.1717E+00
18	2.6938E−01	2.9112E+00	3.5499E−01	1.6693E+00	3.8295E−01	1.4215E+00	4.1530E−01	1.2187E+00
19	2.4757E−01	3.0257E+00	3.2442E−01	1.7335E+00	3.4971E−01	1.4759E+00	3.7904E−01	1.2651E+00
20	2.2867E−01	3.1379E+00	2.9765E−01	1.7968E+00	3.2054E−01	1.5295E+00	3.4718E−01	1.3109E+00
21	2.1216E−01	3.2474E+00	2.7410E−01	1.8590E+00	2.9483E−01	1.5823E+00	3.1906E−01	1.3561E+00
22	1.9761E−01	3.3543E+00	2.5328E−01	1.9200E+00	2.7208E−01	1.6341E+00	2.9416E−01	1.4003E+00
23	1.8470E−01	3.4585E+00	2.3480E−01	1.9795E+00	2.5188E−01	1.6847E+00	2.7205E−01	1.4436E+00
24	1.7314E−01	3.5601E+00	2.1833E−01	2.0375E+00	2.3387E−01	1.7340E+00	2.5233E−01	1.4858E+00
25	1.6273E−01	3.6590E+00	2.0357E−01	2.0939E+00	2.1776E−01	1.7820E+00	2.3470E−01	1.5269E+00
26	1.5329E−01	3.7554E+00	1.9031E−01	2.1487E+00	2.0329E−01	1.8286E+00	2.1887E−01	1.5668E+00
27	1.4468E−01	3.8494E+00	1.7834E−01	2.2019E+00	1.9024E−01	1.8738E+00	2.0462E−01	1.6055E+00
28	1.3680E−01	3.9411E+00	1.6749E−01	2.2534E+00	1.7844E−01	1.9175E+00	1.9174E−01	1.6430E+00
29	1.2956E−01	4.0307E+00	1.5763E−01	2.3033E+00	1.6773E−01	1.9599E+00	1.8007E−01	1.6793E+00
30	1.2288E−01	4.1182E+00	1.4863E−01	2.3517E+00	1.5798E−01	2.0010E+00	1.6945E−01	1.7143E+00
31	1.1671E−01	4.2038E+00	1.4039E−01	2.3986E+00	1.4907E−01	2.0407E+00	1.5977E−01	1.7483E+00
32	1.1099E−01	4.2876E+00	1.3283E−01	2.4441E+00	1.4090E−01	2.0792E+00	1.5092E−01	1.7811E+00
33	1.0568E−01	4.3698E+00	1.2587E−01	2.4883E+00	1.3341E−01	2.1165E+00	1.4280E−01	1.8130E+00
34	1.0074E−01	4.4503E+00	1.1945E−01	2.5313E+00	1.2651E−01	2.1528E+00	1.3533E−01	1.8438E+00
35	9.6151E−02	4.5294E+00	1.1351E−01	2.5731E+00	1.2013E−01	2.1880E+00	1.2844E−01	1.8737E+00
36	9.1871E−02	4.6070E+00	1.0801E−01	2.6137E+00	1.1424E−01	2.2222E+00	1.2208E−01	1.9028E+00
37	8.7879E−02	4.6832E+00	1.0291E−01	2.6534E+00	1.0878E−01	2.2555E+00	1.1619E−01	1.9311E+00
38	8.4151E−02	4.7581E+00	9.8162E−02	2.6920E+00	1.0370E−01	2.2879E+00	1.1073E−01	1.9586E+00
39	8.0667E−02	4.8317E+00	9.3741E−02	2.7298E+00	9.8981E−02	2.3196E+00	1.0565E−01	1.9855E+00
40	7.7408E−02	4.9042E+00	8.9616E−02	2.7667E+00	9.4580E−02	2.3505E+00	1.0091E−01	2.0117E+00
41	7.4356E−02	4.9754E+00	8.5762E−02	2.8028E+00	9.0471E−02	2.3807E+00	9.6497E−02	2.0372E+00
42	7.1497E−02	5.0455E+00	8.2156E−02	2.8382E+00	8.6628E−02	2.4103E+00	9.2369E−02	2.0623E+00
43	6.8814E−02	5.1146E+00	7.8777E−02	2.8729E+00	8.3030E−02	2.4393E+00	8.8506E−02	2.0868E+00
44	6.6296E−02	5.1825E+00	7.5608E−02	2.9069E+00	7.9656E−02	2.4677E+00	8.4883E−02	2.1108E+00
45	6.3931E−02	5.2495E+00	7.2630E−02	2.9403E+00	7.6487E−02	2.4955E+00	8.1483E−02	2.1343E+00
46	6.1706E−02	5.3154E+00	6.9830E−02	2.9731E+00	7.3508E−02	2.5229E+00	7.8286E−02	2.1574E+00
47	5.9612E−02	5.3804E+00	6.7194E−02	3.0053E+00	7.0703E−02	2.5498E+00	7.5276E−02	2.1802E+00
48	5.7640E−02	5.4444E+00	6.4709E−02	3.0370E+00	6.8059E−02	2.5762E+00	7.2440E−02	2.2025E+00
49	5.5780E−02	5.5076E+00	6.2364E−02	3.0681E+00	6.5564E−02	2.6022E+00	6.9763E−02	2.2245E+00
50	5.4025E−02	5.5698E+00	6.0148E−02	3.0988E+00	6.3207E−02	2.6278E+00	6.7235E−02	2.2461E+00
51	5.2368E−02	5.6312E+00	5.8053E−02	3.1290E+00	6.0978E−02	2.6530E+00	6.4843E−02	2.2674E+00
52	5.0801E−02	5.6918E+00	5.6069E−02	3.1588E+00	5.8868E−02	2.6779E+00	6.2580E−02	2.2883E+00
53	4.9318E−02	5.7516E+00	5.4190E−02	3.1881E+00	5.6868E−02	2.7023E+00	6.0434E−02	2.3090E+00
54	4.7915E−02	5.8106E+00	5.2407E−02	3.2170E+00	5.4971E−02	2.7264E+00	5.8399E−02	2.3294E+00
55	4.6584E−02	5.8688E+00	5.0714E−02	3.2455E+00	5.3170E−02	2.7502E+00	5.6466E−02	2.3495E+00
56	4.5322E−02	5.9263E+00	4.9105E−02	3.2736E+00	5.1458E−02	2.7736E+00	5.4629E−02	2.3693E+00
57	4.4124E−02	5.9831E+00	4.7575E−02	3.3013E+00	4.9829E−02	2.7968E+00	5.2882E−02	2.3888E+00
58	4.2986E−02	6.0392E+00	4.6118E−02	3.3287E+00	4.8279E−02	2.8196E+00	5.1218E−02	2.4081E+00
59	4.1904E−02	6.0946E+00	4.4730E−02	3.3557E+00	4.6802E−02	2.8421E+00	4.9633E−02	2.4272E+00
60	4.0874E−02	6.1493E+00	4.3406E−02	3.3823E+00	4.5393E−02	2.8644E+00	4.8122E−02	2.4460E+00

Mo; [Z=42]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	9.0059E+00	3.0131E−01	1.0400E+01	1.9512E−01	1.0938E+01	1.7004E−01	1.1626E+01	1.4852E−01
1	7.4550E+00	3.5648E−01	8.7167E+00	2.2870E−01	9.1886E+00	1.9894E−01	9.7897E+00	1.7341E−01
2	5.1330E+00	4.8964E−01	6.1622E+00	3.0831E−01	6.5251E+00	2.6728E−01	6.9784E+00	2.3230E−01
3	3.5642E+00	6.5168E−01	4.3971E+00	4.0341E−01	4.6770E+00	3.4869E−01	5.0187E+00	3.0236E−01
4	2.5684E+00	8.2601E−01	3.2475E+00	5.0418E−01	3.4683E+00	4.3470E−01	3.7329E+00	3.7626E−01
5	1.9124E+00	1.0109E+00	2.4674E+00	6.0963E−01	2.6443E+00	5.2450E−01	2.8532E+00	4.5325E−01
6	1.4701E+00	1.2030E+00	1.9236E+00	7.1821E−01	2.0668E+00	6.1677E−01	2.2345E+00	5.3225E−01
7	1.1670E+00	1.3955E+00	1.5381E+00	8.2673E−01	1.6554E+00	7.0890E−01	1.7920E+00	6.1105E−01
8	9.5419E−01	1.5811E+00	1.2603E+00	9.3162E−01	1.3576E+00	7.9793E−01	1.4707E+00	6.8719E−01
9	7.9948E−01	1.7552E+00	1.0554E+00	1.0303E+00	1.1375E+00	8.8170E−01	1.2328E+00	7.5882E−01
10	6.8243E−01	1.9164E+00	9.0033E−01	1.1217E+00	9.7064E−01	9.5929E−01	1.0522E+00	8.2516E−01
11	5.9034E−01	2.0661E+00	7.7908E−01	1.2062E+00	8.4024E−01	1.0309E+00	9.1113E−01	8.8635E−01
12	5.1676E−01	2.2063E+00	6.8287E−01	1.2848E+00	7.3680E−01	1.0975E+00	7.9924E−01	9.4325E−01
13	4.5639E−01	2.3396E+00	6.0427E−01	1.3589E+00	6.5231E−01	1.1603E+00	7.0785E−01	9.9679E−01
14	4.0608E−01	2.4678E+00	5.3866E−01	1.4298E+00	5.8175E−01	1.2202E+00	6.3150E−01	1.0479E+00
15	3.6388E−01	2.5924E+00	4.8323E−01	1.4985E+00	5.2207E−01	1.2783E+00	5.6686E−01	1.0974E+00
16	3.2828E−01	2.7142E+00	4.3590E−01	1.5657E+00	4.7100E−01	1.3350E+00	5.1147E−01	1.1458E+00
17	2.9806E−01	2.8337E+00	3.9513E−01	1.6318E+00	4.2691E−01	1.3909E+00	4.6356E−01	1.1934E+00
18	2.7225E−01	2.9511E+00	3.5977E−01	1.6971E+00	3.8857E−01	1.4461E+00	4.2183E−01	1.2405E+00
19	2.5007E−01	3.0663E+00	3.2894E−01	1.7615E+00	3.5505E−01	1.5007E+00	3.8528E−01	1.2871E+00
20	2.3088E−01	3.1791E+00	3.0192E−01	1.8251E+00	3.2561E−01	1.5546E+00	3.5312E−01	1.3331E+00
21	2.1413E−01	3.2896E+00	2.7813E−01	1.8877E+00	2.9964E−01	1.6076E+00	3.2471E−01	1.3784E+00
22	1.9941E−01	3.3975E+00	2.5710E−01	1.9491E+00	2.7664E−01	1.6598E+00	2.9952E−01	1.4230E+00
23	1.8637E−01	3.5028E+00	2.3841E−01	2.0092E+00	2.5620E−01	1.7109E+00	2.7712E−01	1.4668E+00
24	1.7472E−01	3.6055E+00	2.2175E−01	2.0680E+00	2.3796E−01	1.7609E+00	2.5712E−01	1.5096E+00
25	1.6424E−01	3.7058E+00	2.0682E−01	2.1253E+00	2.2163E−01	1.8097E+00	2.3922E−01	1.5514E+00
26	1.5476E−01	3.8035E+00	1.9340E−01	2.1811E+00	2.0695E−01	1.8571E+00	2.2314E−01	1.5920E+00
27	1.4613E−01	3.8989E+00	1.8128E−01	2.2353E+00	1.9371E−01	1.9033E+00	2.0865E−01	1.6315E+00
28	1.3823E−01	3.9920E+00	1.7029E−01	2.2880E+00	1.8173E−01	1.9481E+00	1.9555E−01	1.6699E+00
29	1.3097E−01	4.0830E+00	1.6030E−01	2.3391E+00	1.7085E−01	1.9915E+00	1.8366E−01	1.7070E+00
30	1.2428E−01	4.1720E+00	1.5119E−01	2.3886E+00	1.6094E−01	2.0336E+00	1.7286E−01	1.7431E+00
31	1.1809E−01	4.2591E+00	1.4284E−01	2.4367E+00	1.5189E−01	2.0744E+00	1.6299E−01	1.7780E+00
32	1.1236E−01	4.3444E+00	1.3518E−01	2.4834E+00	1.4359E−01	2.1140E+00	1.5397E−01	1.8118E+00
33	1.0704E−01	4.4281E+00	1.2812E−01	2.5288E+00	1.3597E−01	2.1523E+00	1.4570E−01	1.8445E+00
34	1.0208E−01	4.5101E+00	1.2161E−01	2.5729E+00	1.2895E−01	2.1896E+00	1.3808E−01	1.8763E+00
35	9.7467E−02	4.5907E+00	1.1559E−01	2.6158E+00	1.2247E−01	2.2258E+00	1.3107E−01	1.9071E+00
36	9.3164E−02	4.6698E+00	1.1001E−01	2.6576E+00	1.1648E−01	2.2610E+00	1.2458E−01	1.9371E+00
37	8.9145E−02	4.7475E+00	1.0483E−01	2.6983E+00	1.1092E−01	2.2952E+00	1.1858E−01	1.9662E+00
38	8.5390E−02	4.8240E+00	1.0001E−01	2.7380E+00	1.0575E−01	2.3286E+00	1.1300E−01	1.9945E+00
39	8.1877E−02	4.8991E+00	9.5517E−02	2.7768E+00	1.0095E−01	2.3612E+00	1.0782E−01	2.0222E+00
40	7.8588E−02	4.9731E+00	9.1324E−02	2.8147E+00	9.6463E−02	2.3929E+00	1.0299E−01	2.0491E+00
41	7.5506E−02	5.0459E+00	8.7406E−02	2.8517E+00	9.2278E−02	2.4240E+00	9.8488E−02	2.0754E+00
42	7.2615E−02	5.1176E+00	8.3738E−02	2.8880E+00	8.8364E−02	2.4543E+00	9.4278E−02	2.1011E+00
43	6.9902E−02	5.1881E+00	8.0301E−02	2.9236E+00	8.4698E−02	2.4841E+00	9.0337E−02	2.1263E+00
44	6.7354E−02	5.2577E+00	7.7075E−02	2.9584E+00	8.1259E−02	2.5132E+00	8.6643E−02	2.1509E+00
45	6.4958E−02	5.3261E+00	7.4044E−02	2.9926E+00	7.8030E−02	2.5418E+00	8.3174E−02	2.1750E+00
46	6.2704E−02	5.3937E+00	7.1193E−02	3.0262E+00	7.4993E−02	2.5698E+00	7.9913E−02	2.1987E+00
47	6.0581E−02	5.4602E+00	6.8509E−02	3.0592E+00	7.2134E−02	2.5973E+00	7.6843E−02	2.2220E+00
48	5.8581E−02	5.5258E+00	6.5978E−02	3.0917E+00	6.9439E−02	2.6244E+00	7.3950E−02	2.2448E+00
49	5.6695E−02	5.5904E+00	6.3589E−02	3.1235E+00	6.6896E−02	2.6510E+00	7.1221E−02	2.2673E+00
50	5.4914E−02	5.6542E+00	6.1332E−02	3.1549E+00	6.4494E−02	2.6772E+00	6.8642E−02	2.2894E+00
51	5.3232E−02	5.7172E+00	5.9197E−02	3.1858E+00	6.2221E−02	2.7029E+00	6.6203E−02	2.3112E+00
52	5.1642E−02	5.7793E+00	5.7176E−02	3.2163E+00	6.0070E−02	2.7283E+00	6.3894E−02	2.3326E+00
53	5.0138E−02	5.8405E+00	5.5261E−02	3.2462E+00	5.8032E−02	2.7533E+00	6.1706E−02	2.3537E+00
54	4.8713E−02	5.9010E+00	5.3444E−02	3.2758E+00	5.6098E−02	2.7779E+00	5.9630E−02	2.3745E+00
55	4.7363E−02	5.9607E+00	5.1720E−02	3.3049E+00	5.4262E−02	2.8022E+00	5.7659E−02	2.3951E+00
56	4.6083E−02	6.0197E+00	5.0081E−02	3.3336E+00	5.2517E−02	2.8262E+00	5.5786E−02	2.4153E+00
57	4.4868E−02	6.0779E+00	4.8521E−02	3.3620E+00	5.0857E−02	2.8498E+00	5.4004E−02	2.4352E+00
58	4.3715E−02	6.1354E+00	4.7037E−02	3.3899E+00	4.9277E−02	2.8731E+00	5.2308E−02	2.4549E+00
59	4.2618E−02	6.1922E+00	4.5623E−02	3.4175E+00	4.7772E−02	2.8961E+00	5.0692E−02	2.4744E+00
60	4.1575E−02	6.2484E+00	4.4275E−02	3.4447E+00	4.6336E−02	2.9188E+00	4.9151E−02	2.4936E+00

Tc; [Z=43]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	9.5099E+00	3.0091E−01	1.0981E+01	1.9529E−01	1.1551E+01	1.7032E−01	1.2279E+01	1.4887E−01
1	7.8509E+00	3.5633E−01	9.1816E+00	2.2917E−01	9.6802E+00	1.9951E−01	1.0315E+01	1.7404E−01
2	5.3042E+00	4.9705E−01	6.3791E+00	3.1346E−01	6.7578E+00	2.7193E−01	7.2300E+00	2.3648E−01
3	3.6232E+00	6.7061E−01	4.4829E+00	4.1530E−01	4.7716E+00	3.5912E−01	5.1231E+00	3.1156E−01
4	2.6008E+00	8.5112E−01	3.2985E+00	5.1973E−01	3.5256E+00	4.4830E−01	3.7970E+00	3.8820E−01
5	1.9393E+00	1.0372E+00	2.5104E+00	6.2610E−01	2.6927E+00	5.3894E−01	2.9075E+00	4.6595E−01
6	1.4928E+00	1.2291E+00	1.9611E+00	7.3483E−01	2.1092E+00	6.3140E−01	2.2822E+00	5.4515E−01
7	1.1848E+00	1.4226E+00	1.5690E+00	8.4416E−01	1.6906E+00	7.2427E−01	1.8318E+00	6.2463E−01
8	9.6761E−01	1.6115E+00	1.2844E+00	9.5107E−01	1.3853E+00	8.1506E−01	1.5022E+00	7.0230E−01
9	8.0986E−01	1.7905E+00	1.0739E+00	1.0529E+00	1.1587E+00	9.0149E−01	1.2570E+00	7.7625E−01
10	6.9093E−01	1.9574E+00	9.1441E−01	1.1479E+00	9.8684E−01	9.8220E−01	1.0708E+00	8.4529E−01
11	5.9766E−01	2.1122E+00	7.9008E−01	1.2358E+00	8.5283E−01	1.0569E+00	9.2554E−01	9.0916E−01
12	5.2329E−01	2.2570E+00	6.9178E−01	1.3176E+00	7.4693E−01	1.1263E+00	8.1079E−01	9.6845E−01
13	4.6229E−01	2.3939E+00	6.1177E−01	1.3942E+00	6.6079E−01	1.1912E+00	7.1750E−01	1.0239E+00
14	4.1137E−01	2.5247E+00	5.4520E−01	1.4670E+00	5.8914E−01	1.2527E+00	6.3991E−01	1.0764E+00
15	3.6858E−01	2.6512E+00	4.8911E−01	1.5368E+00	5.2873E−01	1.3118E+00	5.7445E−01	1.1268E+00
16	3.3241E−01	2.7744E+00	4.4128E−01	1.6048E+00	4.7714E−01	1.3693E+00	5.1849E−01	1.1758E+00
17	3.0165E−01	2.8949E+00	4.0012E−01	1.6714E+00	4.3266E−01	1.4255E+00	4.7017E−01	1.2237E+00
18	2.7537E−01	3.0131E+00	3.6445E−01	1.7369E+00	3.9400E−01	1.4810E+00	4.2811E−01	1.2710E+00
19	2.5278E−01	3.1290E+00	3.3333E−01	1.8016E+00	3.6020E−01	1.5357E+00	3.9126E−01	1.3177E+00
20	2.3324E−01	3.2426E+00	3.0606E−01	1.8653E+00	3.3050E−01	1.5897E+00	3.5882E−01	1.3638E+00
21	2.1622E−01	3.3539E+00	2.8203E−01	1.9282E+00	3.0428E−01	1.6430E+00	3.3014E−01	1.4093E+00
22	2.0128E−01	3.4627E+00	2.6078E−01	1.9900E+00	2.8104E−01	1.6955E+00	3.0468E−01	1.4542E+00
23	1.8807E−01	3.5691E+00	2.4189E−01	2.0507E+00	2.6037E−01	1.7471E+00	2.8202E−01	1.4983E+00
24	1.7630E−01	3.6729E+00	2.2504E−01	2.1101E+00	2.4191E−01	1.7976E+00	2.6177E−01	1.5416E+00
25	1.6574E−01	3.7743E+00	2.0995E−01	2.1682E+00	2.2537E−01	1.8470E+00	2.4362E−01	1.5839E+00
26	1.5619E−01	3.8733E+00	1.9637E−01	2.2248E+00	2.1050E−01	1.8952E+00	2.2730E−01	1.6252E+00
27	1.4751E−01	3.9700E+00	1.8411E−01	2.2800E+00	1.9708E−01	1.9422E+00	2.1258E−01	1.6655E+00
28	1.3959E−01	4.0644E+00	1.7300E−01	2.3336E+00	1.8493E−01	1.9878E+00	1.9927E−01	1.7046E+00
29	1.3231E−01	4.1568E+00	1.6289E−01	2.3858E+00	1.7389E−01	2.0322E+00	1.8719E−01	1.7427E+00
30	1.2560E−01	4.2472E+00	1.5366E−01	2.4365E+00	1.6384E−01	2.0753E+00	1.7620E−01	1.7796E+00
31	1.1940E−01	4.3357E+00	1.4521E−01	2.4857E+00	1.5465E−01	2.1172E+00	1.6616E−01	1.8154E+00
32	1.1366E−01	4.4224E+00	1.3746E−01	2.5336E+00	1.4622E−01	2.1577E+00	1.5698E−01	1.8501E+00
33	1.0832E−01	4.5074E+00	1.3031E−01	2.5801E+00	1.3849E−01	2.1972E+00	1.4855E−01	1.8838E+00
34	1.0335E−01	4.5909E+00	1.2372E−01	2.6253E+00	1.3135E−01	2.2354E+00	1.4080E−01	1.9165E+00
35	9.8716E−02	4.6729E+00	1.1762E−01	2.6693E+00	1.2477E−01	2.2726E+00	1.3365E−01	1.9482E+00
36	9.4392E−02	4.7534E+00	1.1196E−01	2.7122E+00	1.1867E−01	2.3088E+00	1.2705E−01	1.9790E+00
37	9.0352E−02	4.8326E+00	1.0671E−01	2.7539E+00	1.1302E−01	2.3440E+00	1.2093E−01	2.0089E+00
38	8.6573E−02	4.9105E+00	1.0182E−01	2.7947E+00	1.0777E−01	2.3783E+00	1.1525E−01	2.0381E+00
39	8.3035E−02	4.9871E+00	9.7257E−02	2.8345E+00	1.0288E−01	2.4117E+00	1.0997E−01	2.0665E+00
40	7.9720E−02	5.0626E+00	9.3001E−02	2.8733E+00	9.8320E−02	2.4444E+00	1.0505E−01	2.0942E+00
41	7.6610E−02	5.1368E+00	8.9021E−02	2.9114E+00	9.4061E−02	2.4762E+00	1.0046E−01	2.1212E+00
42	7.3692E−02	5.2100E+00	8.5295E−02	2.9485E+00	9.0078E−02	2.5074E+00	9.6171E−02	2.1476E+00
43	7.0951E−02	5.2821E+00	8.1801E−02	2.9850E+00	8.6346E−02	2.5379E+00	9.2154E−02	2.1734E+00
44	6.8375E−02	5.3531E+00	7.8521E−02	3.0207E+00	8.2845E−02	2.5678E+00	8.8388E−02	2.1987E+00
45	6.5951E−02	5.4231E+00	7.5439E−02	3.0557E+00	7.9557E−02	2.5970E+00	8.4852E−02	2.2235E+00
46	6.3670E−02	5.4921E+00	7.2539E−02	3.0901E+00	7.6464E−02	2.6258E+00	8.1528E−02	2.2478E+00
47	6.1521E−02	5.5602E+00	6.9807E−02	3.1239E+00	7.3552E−02	2.6540E+00	7.8398E−02	2.2716E+00
48	5.9495E−02	5.6273E+00	6.7231E−02	3.1571E+00	7.0807E−02	2.6817E+00	7.5449E−02	2.2950E+00
49	5.7583E−02	5.6935E+00	6.4800E−02	3.1897E+00	6.8216E−02	2.7089E+00	7.2666E−02	2.3180E+00
50	5.5779E−02	5.7588E+00	6.2502E−02	3.2219E+00	6.5768E−02	2.7357E+00	7.0037E−02	2.3406E+00
51	5.4074E−02	5.8232E+00	6.0328E−02	3.2535E+00	6.3453E−02	2.7620E+00	6.7551E−02	2.3628E+00
52	5.2461E−02	5.8868E+00	5.8271E−02	3.2846E+00	6.1261E−02	2.7879E+00	6.5197E−02	2.3847E+00
53	5.0936E−02	5.9495E+00	5.6320E−02	3.3152E+00	5.9184E−02	2.8135E+00	6.2966E−02	2.4063E+00
54	4.9491E−02	6.0115E+00	5.4470E−02	3.3454E+00	5.7213E−02	2.8387E+00	6.0850E−02	2.4276E+00
55	4.8123E−02	6.0727E+00	5.2714E−02	3.3752E+00	5.5343E−02	2.8635E+00	5.8841E−02	2.4485E+00
56	4.6825E−02	6.1331E+00	5.1045E−02	3.4045E+00	5.3565E−02	2.8879E+00	5.6932E−02	2.4692E+00
57	4.5593E−02	6.1928E+00	4.9457E−02	3.4335E+00	5.1874E−02	2.9121E+00	5.5116E−02	2.4895E+00
58	4.4424E−02	6.2518E+00	4.7946E−02	3.4620E+00	5.0264E−02	2.9359E+00	5.3387E−02	2.5096E+00
59	4.3313E−02	6.3101E+00	4.6506E−02	3.4902E+00	4.8731E−02	2.9594E+00	5.1740E−02	2.5295E+00
60	4.2257E−02	6.3676E+00	4.5134E−02	3.5180E+00	4.7268E−02	2.9825E+00	5.0170E−02	2.5491E+00

Ru; [Z=44]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	8.2183E+00	3.2751E−01	9.5878E+00	2.1419E−01	1.0104E+01	1.8712E−01	1.0755E+01	1.6380E−01
1	6.9854E+00	3.7863E−01	8.2449E+00	2.4539E−01	8.7075E+00	2.1399E−01	9.2906E+00	1.8693E−01
2	5.0257E+00	5.0145E−01	6.0814E+00	3.1917E−01	6.4503E+00	2.7740E−01	6.9077E+00	2.4161E−01
3	3.5929E+00	6.5343E−01	4.4653E+00	4.0890E−01	4.7572E+00	3.5433E−01	5.1116E+00	3.0791E−01
4	2.6283E+00	8.2136E−01	3.3493E+00	5.0655E−01	3.5832E+00	4.3781E−01	3.8621E+00	3.7971E−01
5	1.9698E+00	1.0034E+00	2.5644E+00	6.1095E−01	2.7536E+00	5.2683E−01	2.9759E+00	4.5612E−01
6	1.5164E+00	1.1964E+00	2.0047E+00	7.2046E−01	2.1587E+00	6.2001E−01	2.3380E+00	5.3598E−01
7	1.2018E+00	1.3937E+00	1.6019E+00	8.3205E−01	1.7283E+00	7.1485E−01	1.8746E+00	6.1717E−01
8	9.8019E−01	1.5878E+00	1.3089E+00	9.4213E−01	1.4135E+00	8.0837E−01	1.5344E+00	6.9721E−01
9	8.1970E−01	1.7727E+00	1.0922E+00	1.0475E+00	1.1799E+00	8.9794E−01	1.2813E+00	7.7388E−01
10	6.9914E−01	1.9452E+00	9.2838E−01	1.1463E+00	1.0030E+00	9.8190E−01	1.0892E+00	8.4575E−01
11	6.0483E−01	2.1052E+00	8.0105E−01	1.2378E+00	8.6543E−01	1.0596E+00	9.3992E−01	9.1227E−01
12	5.2976E−01	2.2545E+00	7.0069E−01	1.3226E+00	7.5708E−01	1.1317E+00	8.2237E−01	9.7391E−01
13	4.6815E−01	2.3949E+00	6.1928E−01	1.4018E+00	6.6929E−01	1.1988E+00	7.2717E−01	1.0313E+00
14	4.1665E−01	2.5285E+00	5.5173E−01	1.4764E+00	5.9651E−01	1.2620E+00	6.4828E−01	1.0852E+00
15	3.7330E−01	2.6572E+00	4.9493E−01	1.5477E+00	5.3531E−01	1.3223E+00	5.8194E−01	1.1367E+00
16	3.3657E−01	2.7819E+00	4.4658E−01	1.6165E+00	4.8316E−01	1.3806E+00	5.2537E−01	1.1864E+00
17	3.0530E−01	2.9037E+00	4.0500E−01	1.6837E+00	4.3825E−01	1.4374E+00	4.7659E−01	1.2348E+00
18	2.7855E−01	3.0228E+00	3.6898E−01	1.7497E+00	3.9925E−01	1.4931E+00	4.3417E−01	1.2823E+00
19	2.5554E−01	3.1396E+00	3.3758E−01	1.8146E+00	3.6516E−01	1.5481E+00	3.9701E−01	1.3292E+00
20	2.3565E−01	3.2541E+00	3.1004E−01	1.8786E+00	3.3519E−01	1.6023E+00	3.6430E−01	1.3755E+00
21	2.1834E−01	3.3662E+00	2.8578E−01	1.9418E+00	3.0873E−01	1.6558E+00	3.3536E−01	1.4212E+00
22	2.0317E−01	3.4759E+00	2.6432E−01	2.0039E+00	2.8527E−01	1.7086E+00	3.0965E−01	1.4663E+00
23	1.8977E−01	3.5833E+00	2.4524E−01	2.0650E+00	2.6438E−01	1.7605E+00	2.8674E−01	1.5107E+00
24	1.7786E−01	3.6882E+00	2.2822E−01	2.1250E+00	2.4572E−01	1.8115E+00	2.6625E−01	1.5544E+00
25	1.6719E−01	3.7907E+00	2.1296E−01	2.1837E+00	2.2898E−01	1.8615E+00	2.4787E−01	1.5972E+00
26	1.5757E−01	3.8909E+00	1.9924E−01	2.2411E+00	2.1393E−01	1.9103E+00	2.3134E−01	1.6391E+00
27	1.4884E−01	3.9887E+00	1.8684E−01	2.2971E+00	2.0034E−01	1.9580E+00	2.1641E−01	1.6800E+00
28	1.4088E−01	4.0844E+00	1.7560E−01	2.3517E+00	1.8803E−01	2.0045E+00	2.0290E−01	1.7198E+00
29	1.3357E−01	4.1781E+00	1.6538E−01	2.4048E+00	1.7685E−01	2.0498E+00	1.9063E−01	1.7586E+00
30	1.2685E−01	4.2698E+00	1.5605E−01	2.4565E+00	1.6665E−01	2.0938E+00	1.7947E−01	1.7963E+00
31	1.2063E−01	4.3596E+00	1.4751E−01	2.5068E+00	1.5733E−01	2.1366E+00	1.6927E−01	1.8330E+00
32	1.1487E−01	4.4476E+00	1.3966E−01	2.5558E+00	1.4879E−01	2.1781E+00	1.5993E−01	1.8685E+00
33	1.0952E−01	4.5340E+00	1.3244E−01	2.6033E+00	1.4094E−01	2.2185E+00	1.5137E−01	1.9031E+00
34	1.0454E−01	4.6188E+00	1.2576E−01	2.6497E+00	1.3370E−01	2.2578E+00	1.4348E−01	1.9367E+00
35	9.9895E−02	4.7022E+00	1.1959E−01	2.6948E+00	1.2702E−01	2.2959E+00	1.3621E−01	1.9692E+00
36	9.5556E−02	4.7841E+00	1.1386E−01	2.7387E+00	1.2083E−01	2.3331E+00	1.2949E−01	2.0009E+00
37	9.1498E−02	4.8647E+00	1.0854E−01	2.7815E+00	1.1509E−01	2.3692E+00	1.2326E−01	2.0317E+00
38	8.7700E−02	4.9440E+00	1.0358E−01	2.8233E+00	1.0976E−01	2.4044E+00	1.1748E−01	2.0617E+00
39	8.4141E−02	5.0220E+00	9.8962E−02	2.8640E+00	1.0479E−01	2.4387E+00	1.1211E−01	2.0909E+00
40	8.0804E−02	5.0989E+00	9.4646E−02	2.9039E+00	1.0015E−01	2.4722E+00	1.0710E−01	2.1193E+00
41	7.7672E−02	5.1746E+00	9.0608E−02	2.9429E+00	9.5824E−02	2.5050E+00	1.0242E−01	2.1471E+00
42	7.4730E−02	5.2492E+00	8.6827E−02	2.9810E+00	9.1773E−02	2.5369E+00	9.8051E−02	2.1742E+00
43	7.1965E−02	5.3228E+00	8.3280E−02	3.0183E+00	8.7978E−02	2.5682E+00	9.3959E−02	2.2007E+00
44	6.9365E−02	5.3953E+00	7.9949E−02	3.0549E+00	8.4417E−02	2.5988E+00	9.0123E−02	2.2266E+00
45	6.6917E−02	5.4668E+00	7.6818E−02	3.0908E+00	8.1071E−02	2.6288E+00	8.6521E−02	2.2520E+00
46	6.4611E−02	5.5373E+00	7.3871E−02	3.1260E+00	7.7924E−02	2.6583E+00	8.3134E−02	2.2769E+00
47	6.2438E−02	5.6068E+00	7.1094E−02	3.1606E+00	7.4960E−02	2.6872E+00	7.9946E−02	2.3013E+00
48	6.0389E−02	5.6754E+00	6.8474E−02	3.1946E+00	7.2165E−02	2.7155E+00	7.6941E−02	2.3253E+00
49	5.8454E−02	5.7431E+00	6.6001E−02	3.2280E+00	6.9528E−02	2.7434E+00	7.4105E−02	2.3488E+00
50	5.6627E−02	5.8099E+00	6.3664E−02	3.2608E+00	6.7035E−02	2.7708E+00	7.1426E−02	2.3720E+00
51	5.4901E−02	5.8759E+00	6.1452E−02	3.2932E+00	6.4678E−02	2.7977E+00	6.8893E−02	2.3947E+00
52	5.3268E−02	5.9410E+00	5.9359E−02	3.3250E+00	6.2446E−02	2.8242E+00	6.6494E−02	2.4171E+00
53	5.1723E−02	6.0052E+00	5.7374E−02	3.3563E+00	6.0330E−02	2.8503E+00	6.4221E−02	2.4392E+00
54	5.0259E−02	6.0687E+00	5.5491E−02	3.3872E+00	5.8323E−02	2.8761E+00	6.2065E−02	2.4609E+00
55	4.8873E−02	6.1314E+00	5.3703E−02	3.4176E+00	5.6418E−02	2.9014E+00	6.0018E−02	2.4823E+00
56	4.7558E−02	6.1933E+00	5.2004E−02	3.4476E+00	5.4608E−02	2.9264E+00	5.8073E−02	2.5034E+00
57	4.6311E−02	6.2545E+00	5.0388E−02	3.4772E+00	5.2885E−02	2.9511E+00	5.6222E−02	2.5242E+00
58	4.5127E−02	6.3150E+00	4.8850E−02	3.5063E+00	5.1246E−02	2.9754E+00	5.4461E−02	2.5447E+00
59	4.4002E−02	6.3747E+00	4.7385E−02	3.5351E+00	4.9684E−02	2.9993E+00	5.2783E−02	2.5649E+00
60	4.2933E−02	6.4338E+00	4.5987E−02	3.5635E+00	4.8195E−02	3.0230E+00	5.1183E−02	2.5849E+00

Rh; [Z=45]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	7.8710E+00	3.3930E−01	9.2282E+00	2.2307E−01	9.7341E+00	1.9512E−01	1.0369E+01	1.7100E−01
1	6.7562E+00	3.8897E−01	8.0117E+00	2.5343E−01	8.4692E+00	2.2128E−01	9.0430E+00	1.9351E−01
2	4.9472E+00	5.0781E−01	6.0112E+00	3.2498E−01	6.3814E+00	2.8281E−01	6.8387E+00	2.4658E−01
3	3.5861E+00	6.5507E−01	4.4738E+00	4.1217E−01	4.7703E+00	3.5762E−01	5.1291E+00	3.1110E−01
4	2.6461E+00	8.1902E−01	3.3853E+00	5.0780E−01	3.6249E+00	4.3944E−01	3.9098E+00	3.8152E−01
5	1.9924E+00	9.9845E−01	2.6055E+00	6.1096E−01	2.8004E+00	5.2746E−01	3.0289E+00	4.5712E−01
6	1.5365E+00	1.1904E+00	2.0421E+00	7.2014E−01	2.2014E+00	6.2042E−01	2.3865E+00	5.3683E−01
7	1.2177E+00	1.3888E+00	1.6329E+00	8.3249E−01	1.7638E+00	7.1594E−01	1.9151E+00	6.1865E−01
8	9.9234E−01	1.5860E+00	1.3333E+00	9.4443E−01	1.4418E+00	8.1108E−01	1.5668E+00	7.0010E−01
9	8.2924E−01	1.7754E+00	1.1111E+00	1.0526E+00	1.2019E+00	9.0309E−01	1.3066E+00	7.7888E−01
10	7.0709E−01	1.9531E+00	9.4309E−01	1.1548E+00	1.0200E+00	9.8998E−01	1.1089E+00	8.5330E−01
11	6.1184E−01	2.1182E+00	8.1266E−01	1.2498E+00	8.7883E−01	1.0708E+00	9.5534E−01	9.2249E−01
12	5.3616E−01	2.2722E+00	7.1010E−01	1.3379E+00	7.6784E−01	1.1457E+00	8.3469E−01	9.8667E−01
13	4.7407E−01	2.4166E+00	6.2714E−01	1.4199E+00	6.7819E−01	1.2154E+00	7.3731E−01	1.0462E+00
14	4.2210E−01	2.5534E+00	5.5849E−01	1.4968E+00	6.0411E−01	1.2806E+00	6.5691E−01	1.1020E+00
15	3.7824E−01	2.6845E+00	5.0089E−01	1.5698E+00	5.4200E−01	1.3424E+00	5.8952E−01	1.1548E+00
16	3.4100E−01	2.8112E+00	4.5194E−01	1.6400E+00	4.8918E−01	1.4018E+00	5.3222E−01	1.2054E+00
17	3.0922E−01	2.9345E+00	4.0990E−01	1.7080E+00	4.4378E−01	1.4593E+00	4.8291E−01	1.2544E+00
18	2.8199E−01	3.0549E+00	3.7350E−01	1.7745E+00	4.0440E−01	1.5155E+00	4.4008E−01	1.3024E+00
19	2.5854E−01	3.1727E+00	3.4177E−01	1.8398E+00	3.6999E−01	1.5708E+00	4.0259E−01	1.3495E+00
20	2.3826E−01	3.2881E+00	3.1396E−01	1.9041E+00	3.3975E−01	1.6252E+00	3.6959E−01	1.3959E+00
21	2.2062E−01	3.4011E+00	2.8945E−01	1.9676E+00	3.1305E−01	1.6789E+00	3.4039E−01	1.4418E+00
22	2.0518E−01	3.5118E+00	2.6777E−01	2.0300E+00	2.8935E−01	1.7320E+00	3.1444E−01	1.4871E+00
23	1.9157E−01	3.6201E+00	2.4849E−01	2.0915E+00	2.6825E−01	1.7842E+00	2.9130E−01	1.5318E+00
24	1.7948E−01	3.7260E+00	2.3129E−01	2.1519E+00	2.4940E−01	1.8355E+00	2.7059E−01	1.5758E+00
25	1.6868E−01	3.8296E+00	2.1587E−01	2.2112E+00	2.3248E−01	1.8860E+00	2.5200E−01	1.6190E+00
26	1.5896E−01	3.9308E+00	2.0200E−01	2.2692E+00	2.1725E−01	1.9354E+00	2.3526E−01	1.6613E+00
27	1.5016E−01	4.0299E+00	1.8947E−01	2.3260E+00	2.0350E−01	1.9837E+00	2.2013E−01	1.7028E+00
28	1.4214E−01	4.1267E+00	1.7812E−01	2.3814E+00	1.9104E−01	2.0309E+00	2.0644E−01	1.7433E+00
29	1.3480E−01	4.2216E+00	1.6779E−01	2.4354E+00	1.7971E−01	2.0770E+00	1.9400E−01	1.7828E+00
30	1.2805E−01	4.3145E+00	1.5836E−01	2.4880E+00	1.6939E−01	2.1218E+00	1.8266E−01	1.8212E+00
31	1.2181E−01	4.4055E+00	1.4973E−01	2.5393E+00	1.5995E−01	2.1655E+00	1.7231E−01	1.8586E+00
32	1.1603E−01	4.4948E+00	1.4179E−01	2.5893E+00	1.5129E−01	2.2080E+00	1.6283E−01	1.8950E+00
33	1.1067E−01	4.5825E+00	1.3449E−01	2.6379E+00	1.4333E−01	2.2493E+00	1.5412E−01	1.9304E+00
34	1.0567E−01	4.6686E+00	1.2774E−01	2.6852E+00	1.3599E−01	2.2895E+00	1.4611E−01	1.9648E+00
35	1.0101E−01	4.7532E+00	1.2150E−01	2.7313E+00	1.2922E−01	2.3286E+00	1.3872E−01	1.9982E+00
36	9.6661E−02	4.8364E+00	1.1570E−01	2.7763E+00	1.2294E−01	2.3666E+00	1.3189E−01	2.0307E+00
37	9.2588E−02	4.9183E+00	1.1032E−01	2.8201E+00	1.1712E−01	2.4037E+00	1.2556E−01	2.0624E+00
38	8.8773E−02	4.9989E+00	1.0530E−01	2.8629E+00	1.1170E−01	2.4398E+00	1.1968E−01	2.0931E+00
39	8.5196E−02	5.0783E+00	1.0062E−01	2.9047E+00	1.0666E−01	2.4750E+00	1.1421E−01	2.1231E+00
40	8.1840E−02	5.1565E+00	9.6252E−02	2.9455E+00	1.0195E−01	2.5094E+00	1.0911E−01	2.1523E+00
41	7.8687E−02	5.2337E+00	9.2161E−02	2.9854E+00	9.7558E−02	2.5429E+00	1.0436E−01	2.1808E+00
42	7.5724E−02	5.3097E+00	8.8327E−02	3.0245E+00	9.3443E−02	2.5757E+00	9.9910E−02	2.2087E+00
43	7.2938E−02	5.3846E+00	8.4730E−02	3.0627E+00	8.9586E−02	2.6078E+00	9.5746E−02	2.2359E+00
44	7.0315E−02	5.4585E+00	8.1351E−02	3.1002E+00	8.5967E−02	2.6392E+00	9.1841E−02	2.2625E+00
45	6.7845E−02	5.5314E+00	7.8173E−02	3.1369E+00	8.2565E−02	2.6700E+00	8.8174E−02	2.2885E+00
46	6.5517E−02	5.6034E+00	7.5181E−02	3.1730E+00	7.9365E−02	2.7001E+00	8.4726E−02	2.3140E+00
47	6.3322E−02	5.6744E+00	7.2360E−02	3.2084E+00	7.6351E−02	2.7297E+00	8.1479E−02	2.3391E+00
48	6.1251E−02	5.7445E+00	6.9699E−02	3.2431E+00	7.3508E−02	2.7587E+00	7.8419E−02	2.3636E+00
49	5.9295E−02	5.8137E+00	6.7186E−02	3.2773E+00	7.0825E−02	2.7872E+00	7.5532E−02	2.3877E+00
50	5.7447E−02	5.8819E+00	6.4810E−02	3.3109E+00	6.8289E−02	2.8152E+00	7.2803E−02	2.4114E+00
51	5.5700E−02	5.9494E+00	6.2562E−02	3.3440E+00	6.5890E−02	2.8428E+00	7.0223E−02	2.4346E+00
52	5.4048E−02	6.0160E+00	6.0433E−02	3.3765E+00	6.3618E−02	2.8699E+00	6.7781E−02	2.4575E+00
53	5.2484E−02	6.0817E+00	5.8414E−02	3.4085E+00	6.1465E−02	2.8966E+00	6.5466E−02	2.4801E+00
54	5.1003E−02	6.1467E+00	5.6499E−02	3.4401E+00	5.9422E−02	2.9229E+00	6.3270E−02	2.5022E+00
55	4.9600E−02	6.2109E+00	5.4681E−02	3.4712E+00	5.7483E−02	2.9488E+00	6.1185E−02	2.5241E+00
56	4.8269E−02	6.2743E+00	5.2952E−02	3.5018E+00	5.5640E−02	2.9743E+00	5.9204E−02	2.5456E+00
57	4.7007E−02	6.3370E+00	5.1308E−02	3.5320E+00	5.3886E−02	2.9995E+00	5.7319E−02	2.5669E+00
58	4.5808E−02	6.3989E+00	4.9743E−02	3.5618E+00	5.2217E−02	3.0243E+00	5.5525E−02	2.5878E+00
59	4.4670E−02	6.4601E+00	4.8252E−02	3.5912E+00	5.0628E−02	3.0488E+00	5.3816E−02	2.6085E+00
60	4.3589E−02	6.5206E+00	4.6831E−02	3.6202E+00	4.9112E−02	3.0729E+00	5.2186E−02	2.6289E+00

Pd; [Z=46]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	6.2666E+00	3.9922E−01	7.4746E+00	2.6234E−01	7.9081E+00	2.2956E−01	8.4411E+00	2.0131E−01
1	5.7508E+00	4.2928E−01	6.9084E+00	2.8076E−01	7.3202E+00	2.4538E−01	7.8297E+00	2.1480E−01
2	4.6398E+00	5.1221E−01	5.6764E+00	3.3110E−01	6.0342E+00	2.8872E−01	6.4738E+00	2.5215E−01
3	3.5349E+00	6.3449E−01	4.4296E+00	4.0416E−01	4.7276E+00	3.5151E−01	5.0873E+00	3.0636E−01
4	2.6576E+00	7.8602E−01	3.4153E+00	4.9305E−01	3.6604E+00	4.2766E−01	3.9512E+00	3.7196E−01
5	2.0138E+00	9.6024E−01	2.6475E+00	5.9355E−01	2.8486E+00	5.1348E−01	3.0837E+00	4.4573E−01
6	1.5554E+00	1.1510E+00	2.0803E+00	7.0224E−01	2.2453E+00	6.0608E−01	2.4364E+00	5.2517E−01
7	1.2323E+00	1.3509E+00	1.6640E+00	8.1549E−01	1.7999E+00	7.0242E−01	1.9564E+00	6.0771E−01
8	1.0034E+00	1.5514E+00	1.3577E+00	9.2943E−01	1.4703E+00	7.9929E−01	1.5996E+00	6.9069E−01
9	8.3800E−01	1.7453E+00	1.1301E+00	1.0405E+00	1.2241E+00	8.9374E−01	1.3321E+00	7.7158E−01
10	7.1450E−01	1.9281E+00	9.5785E−01	1.1459E+00	1.0373E+00	9.8351E−01	1.1288E+00	8.4851E−01
11	6.1846E−01	2.0983E+00	8.2437E−01	1.2444E+00	8.9241E−01	1.0673E+00	9.7102E−01	9.2033E−01
12	5.4232E−01	2.2569E+00	7.1963E−01	1.3358E+00	7.7880E−01	1.1452E+00	8.4727E−01	9.8705E−01
13	4.7985E−01	2.4053E+00	6.3512E−01	1.4208E+00	6.8726E−01	1.2174E+00	7.4766E−01	1.0489E+00
14	4.2748E−01	2.5455E+00	5.6534E−01	1.5001E+00	6.1183E−01	1.2848E+00	6.6568E−01	1.1065E+00
15	3.8320E−01	2.6793E+00	5.0691E−01	1.5751E+00	5.4874E−01	1.3483E+00	5.9716E−01	1.1608E+00
16	3.4550E−01	2.8082E+00	4.5732E−01	1.6466E+00	4.9521E−01	1.4089E+00	5.3905E−01	1.2125E+00
17	3.1325E−01	2.9332E+00	4.1478E−01	1.7157E+00	4.4927E−01	1.4674E+00	4.8915E−01	1.2624E+00
18	2.8555E−01	3.0550E+00	3.7797E−01	1.7830E+00	4.0947E−01	1.5242E+00	4.4587E−01	1.3109E+00
19	2.6168E−01	3.1740E+00	3.4591E−01	1.8488E+00	3.7472E−01	1.5799E+00	4.0803E−01	1.3583E+00
20	2.4100E−01	3.2905E+00	3.1780E−01	1.9135E+00	3.4419E−01	1.6346E+00	3.7473E−01	1.4050E+00
21	2.2302E−01	3.4045E+00	2.9304E−01	1.9772E+00	3.1723E−01	1.6886E+00	3.4527E−01	1.4511E+00
22	2.0728E−01	3.5162E+00	2.7113E−01	2.0400E+00	2.9331E−01	1.7419E+00	3.1908E−01	1.4966E+00
23	1.9343E−01	3.6255E+00	2.5165E−01	2.1018E+00	2.7201E−01	1.7944E+00	2.9571E−01	1.5415E+00
24	1.8115E−01	3.7324E+00	2.3427E−01	2.1626E+00	2.5295E−01	1.8461E+00	2.7479E−01	1.5857E+00
25	1.7020E−01	3.8370E+00	2.1869E−01	2.2224E+00	2.3586E−01	1.8969E+00	2.5599E−01	1.6293E+00
26	1.6036E−01	3.9394E+00	2.0467E−01	2.2810E+00	2.2046E−01	1.9468E+00	2.3905E−01	1.6720E+00
27	1.5147E−01	4.0395E+00	1.9202E−01	2.3384E+00	2.0656E−01	1.9957E+00	2.2375E−01	1.7140E+00
28	1.4338E−01	4.1375E+00	1.8054E−01	2.3945E+00	1.9395E−01	2.0435E+00	2.0988E−01	1.7550E+00
29	1.3599E−01	4.2335E+00	1.7011E−01	2.4493E+00	1.8249E−01	2.0903E+00	1.9727E−01	1.7951E+00
30	1.2920E−01	4.3275E+00	1.6059E−01	2.5028E+00	1.7204E−01	2.1358E+00	1.8578E−01	1.8342E+00
31	1.2294E−01	4.4197E+00	1.5186E−01	2.5550E+00	1.6249E−01	2.1803E+00	1.7528E−01	1.8724E+00
32	1.1714E−01	4.5102E+00	1.4385E−01	2.6059E+00	1.5372E−01	2.2236E+00	1.6566E−01	1.9095E+00
33	1.1176E−01	4.5991E+00	1.3647E−01	2.6555E+00	1.4566E−01	2.2658E+00	1.5683E−01	1.9457E+00
34	1.0675E−01	4.6864E+00	1.2966E−01	2.7038E+00	1.3823E−01	2.3069E+00	1.4870E−01	1.9808E+00
35	1.0208E−01	4.7722E+00	1.2335E−01	2.7509E+00	1.3136E−01	2.3469E+00	1.4119E−01	2.0151E+00
36	9.7712E−02	4.8567E+00	1.1749E−01	2.7969E+00	1.2500E−01	2.3859E+00	1.3425E−01	2.0484E+00
37	9.3625E−02	4.9398E+00	1.1205E−01	2.8417E+00	1.1910E−01	2.4238E+00	1.2782E−01	2.0808E+00
38	8.9795E−02	5.0217E+00	1.0698E−01	2.8855E+00	1.1361E−01	2.4608E+00	1.2184E−01	2.1124E+00
39	8.6203E−02	5.1024E+00	1.0224E−01	2.9282E+00	1.0850E−01	2.4969E+00	1.1629E−01	2.1432E+00
40	8.2829E−02	5.1820E+00	9.7819E−02	2.9700E+00	1.0372E−01	2.5321E+00	1.1111E−01	2.1731E+00
41	7.9660E−02	5.2604E+00	9.3678E−02	3.0108E+00	9.9262E−02	2.5665E+00	1.0627E−01	2.2024E+00
42	7.6678E−02	5.3377E+00	8.9796E−02	3.0508E+00	9.5086E−02	2.6001E+00	1.0175E−01	2.2310E+00
43	7.3873E−02	5.4141E+00	8.6151E−02	3.0899E+00	9.1171E−02	2.6330E+00	9.7514E−02	2.2589E+00
44	7.1230E−02	5.4893E+00	8.2727E−02	3.1283E+00	8.7495E−02	2.6652E+00	9.3542E−02	2.2861E+00
45	6.8740E−02	5.5637E+00	7.9504E−02	3.1659E+00	8.4041E−02	2.6967E+00	8.9812E−02	2.3128E+00
46	6.6392E−02	5.6370E+00	7.6470E−02	3.2028E+00	8.0789E−02	2.7276E+00	8.6304E−02	2.3390E+00
47	6.4177E−02	5.7094E+00	7.3608E−02	3.2390E+00	7.7726E−02	2.7578E+00	8.3001E−02	2.3646E+00
48	6.2086E−02	5.7810E+00	7.0907E−02	3.2745E+00	7.4837E−02	2.7875E+00	7.9887E−02	2.3898E+00
49	6.0111E−02	5.8516E+00	6.8356E−02	3.3095E+00	7.2109E−02	2.8167E+00	7.6948E−02	2.4144E+00
50	5.8244E−02	5.9213E+00	6.5943E−02	3.3438E+00	6.9531E−02	2.8454E+00	7.4171E−02	2.4386E+00
51	5.6479E−02	5.9902E+00	6.3659E−02	3.3777E+00	6.7091E−02	2.8736E+00	7.1545E−02	2.4625E+00
52	5.4808E−02	6.0583E+00	6.1496E−02	3.4109E+00	6.4781E−02	2.9013E+00	6.9059E−02	2.4859E+00
53	5.3227E−02	6.1255E+00	5.9445E−02	3.4436E+00	6.2591E−02	2.9286E+00	6.6702E−02	2.5089E+00
54	5.1729E−02	6.1920E+00	5.7498E−02	3.4759E+00	6.0512E−02	2.9555E+00	6.4467E−02	2.5316E+00
55	5.0310E−02	6.2577E+00	5.5649E−02	3.5076E+00	5.8540E−02	2.9819E+00	6.2344E−02	2.5539E+00
56	4.8964E−02	6.3226E+00	5.3892E−02	3.5390E+00	5.6664E−02	3.0080E+00	6.0327E−02	2.5759E+00
57	4.7687E−02	6.3868E+00	5.2221E−02	3.5698E+00	5.4880E−02	3.0337E+00	5.8408E−02	2.5976E+00
58	4.6476E−02	6.4502E+00	5.0629E−02	3.6003E+00	5.3182E−02	3.0591E+00	5.6582E−02	2.6190E+00
59	4.5325E−02	6.5129E+00	4.9113E−02	3.6303E+00	5.1564E−02	3.0840E+00	5.4842E−02	2.6401E+00
60	4.4232E−02	6.5749E+00	4.7667E−02	3.6599E+00	5.0022E−02	3.1087E+00	5.3183E−02	2.6609E+00

Ag; [Z=47]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	7.2512E+00	3.6073E−01	8.5834E+00	2.3973E−01	9.0713E+00	2.1025E−01	9.6770E+00	1.8469E−01
1	6.3204E+00	4.0822E−01	7.5642E+00	2.6885E−01	8.0112E+00	2.3535E−01	8.5668E+00	2.0627E−01
2	4.7638E+00	5.2076E−01	5.8368E+00	3.3689E−01	6.2073E+00	2.9393E−01	6.6619E+00	2.5684E−01
3	3.5410E+00	6.5960E−01	4.4518E+00	4.1956E−01	4.7550E+00	3.6496E−01	5.1200E+00	3.1817E−01
4	2.6597E+00	8.1524E−01	3.4295E+00	5.1091E−01	3.6787E+00	4.4324E−01	3.9737E+00	3.8562E−01
5	2.0247E+00	9.8793E−01	2.6712E+00	6.1076E−01	2.8766E+00	5.2857E−01	3.1163E+00	4.5901E−01
6	1.5697E+00	1.1759E+00	2.1083E+00	7.1810E−01	2.2778E+00	6.2008E−01	2.4737E+00	5.3756E−01
7	1.2456E+00	1.3739E+00	1.6910E+00	8.3052E−01	1.8312E+00	7.1576E−01	1.9923E+00	6.1959E−01
8	1.0142E+00	1.5747E+00	1.3811E+00	9.4472E−01	1.4975E+00	8.1290E−01	1.6309E+00	7.0281E−01
9	8.4656E−01	1.7712E+00	1.1492E+00	1.0573E+00	1.2465E+00	9.0865E−01	1.3581E+00	7.8485E−01
10	7.2158E−01	1.9580E+00	9.7315E−01	1.1652E+00	1.0553E+00	1.0006E+00	1.1497E+00	8.6368E−01
11	6.2474E−01	2.1328E+00	8.3665E−01	1.2668E+00	9.0683E−01	1.0871E+00	9.8775E−01	9.3789E−01
12	5.4819E−01	2.2959E+00	7.2964E−01	1.3616E+00	7.9042E−01	1.1680E+00	8.6069E−01	1.0072E+00
13	4.8548E−01	2.4486E+00	6.4346E−01	1.4497E+00	6.9681E−01	1.2430E+00	7.5862E−01	1.0715E+00
14	4.3286E−01	2.5924E+00	5.7247E−01	1.5318E+00	6.1988E−01	1.3128E+00	6.7485E−01	1.1313E+00
15	3.8827E−01	2.7292E+00	5.1313E−01	1.6091E+00	5.5570E−01	1.3784E+00	6.0504E−01	1.1874E+00
16	3.5020E−01	2.8606E+00	4.6285E−01	1.6825E+00	5.0137E−01	1.4406E+00	5.4600E−01	1.2405E+00
17	3.1752E−01	2.9876E+00	4.1977E−01	1.7529E+00	4.5482E−01	1.5002E+00	4.9542E−01	1.2914E+00
18	2.8938E−01	3.1111E+00	3.8252E−01	1.8211E+00	4.1455E−01	1.5579E+00	4.5162E−01	1.3405E+00
19	2.6507E−01	3.2315E+00	3.5008E−01	1.8876E+00	3.7942E−01	1.6141E+00	4.1339E−01	1.3885E+00
20	2.4399E−01	3.3492E+00	3.2165E−01	1.9527E+00	3.4858E−01	1.6693E+00	3.7976E−01	1.4356E+00
21	2.2564E−01	3.4644E+00	2.9661E−01	2.0168E+00	3.2134E−01	1.7235E+00	3.5002E−01	1.4819E+00
22	2.0958E−01	3.5771E+00	2.7446E−01	2.0799E+00	2.9719E−01	1.7770E+00	3.2358E−01	1.5275E+00
23	1.9545E−01	3.6875E+00	2.5476E−01	2.1421E+00	2.7566E−01	1.8297E+00	2.9999E−01	1.5726E+00
24	1.8295E−01	3.7954E+00	2.3719E−01	2.2033E+00	2.5642E−01	1.8817E+00	2.7886E−01	1.6171E+00
25	1.7181E−01	3.9011E+00	2.2144E−01	2.2634E+00	2.3914E−01	1.9329E+00	2.5986E−01	1.6609E+00
26	1.6183E−01	4.0045E+00	2.0728E−01	2.3225E+00	2.2358E−01	1.9832E+00	2.4274E−01	1.7040E+00
27	1.5282E−01	4.1057E+00	1.9449E−01	2.3805E+00	2.0952E−01	2.0325E+00	2.2726E−01	1.7463E+00
28	1.4465E−01	4.2048E+00	1.8290E−01	2.4372E+00	1.9678E−01	2.0809E+00	2.1322E−01	1.7878E+00
29	1.3719E−01	4.3018E+00	1.7235E−01	2.4927E+00	1.8519E−01	2.1283E+00	2.0046E−01	1.8285E+00
30	1.3035E−01	4.3969E+00	1.6273E−01	2.5470E+00	1.7462E−01	2.1746E+00	1.8882E−01	1.8682E+00
31	1.2405E−01	4.4903E+00	1.5393E−01	2.6000E+00	1.6495E−01	2.2198E+00	1.7818E−01	1.9070E+00
32	1.1822E−01	4.5819E+00	1.4584E−01	2.6518E+00	1.5608E−01	2.2639E+00	1.6843E−01	1.9448E+00
33	1.1282E−01	4.6718E+00	1.3839E−01	2.7023E+00	1.4792E−01	2.3069E+00	1.5947E−01	1.9817E+00
34	1.0779E−01	4.7603E+00	1.3151E−01	2.7515E+00	1.4040E−01	2.3488E+00	1.5122E−01	2.0176E+00
35	1.0310E−01	4.8473E+00	1.2514E−01	2.7996E+00	1.3345E−01	2.3897E+00	1.4361E−01	2.0526E+00
36	9.8715E−02	4.9329E+00	1.1922E−01	2.8465E+00	1.2701E−01	2.4295E+00	1.3656E−01	2.0867E+00
37	9.4614E−02	5.0172E+00	1.1372E−01	2.8923E+00	1.2103E−01	2.4683E+00	1.3003E−01	2.1199E+00
38	9.0769E−02	5.1003E+00	1.0860E−01	2.9370E+00	1.1547E−01	2.5062E+00	1.2397E−01	2.1523E+00
39	8.7161E−02	5.1822E+00	1.0381E−01	2.9807E+00	1.1029E−01	2.5431E+00	1.1833E−01	2.1838E+00
40	8.3772E−02	5.2630E+00	9.9342E−02	3.0234E+00	1.0545E−01	2.5792E+00	1.1307E−01	2.2146E+00
41	8.0586E−02	5.3426E+00	9.5154E−02	3.0652E+00	1.0093E−01	2.6144E+00	1.0816E−01	2.2445E+00
42	7.7587E−02	5.4212E+00	9.1226E−02	3.1060E+00	9.6696E−02	2.6488E+00	1.0356E−01	2.2738E+00
43	7.4764E−02	5.4988E+00	8.7538E−02	3.1460E+00	9.2725E−02	2.6825E+00	9.9258E−02	2.3024E+00
44	7.2103E−02	5.5754E+00	8.4070E−02	3.1853E+00	8.8996E−02	2.7154E+00	9.5221E−02	2.3304E+00
45	6.9595E−02	5.6511E+00	8.0807E−02	3.2237E+00	8.5491E−02	2.7477E+00	9.1429E−02	2.3578E+00
46	6.7228E−02	5.7258E+00	7.7731E−02	3.2614E+00	8.2191E−02	2.7793E+00	8.7863E−02	2.3846E+00
47	6.4994E−02	5.7996E+00	7.4831E−02	3.2985E+00	7.9081E−02	2.8103E+00	8.4504E−02	2.4108E+00
48	6.2885E−02	5.8724E+00	7.2092E−02	3.3348E+00	7.6146E−02	2.8407E+00	8.1338E−02	2.4365E+00
49	6.0891E−02	5.9444E+00	6.9504E−02	3.3705E+00	7.3375E−02	2.8705E+00	7.8349E−02	2.4618E+00
50	5.9006E−02	6.0156E+00	6.7056E−02	3.4057E+00	7.0755E−02	2.8998E+00	7.5525E−02	2.4866E+00
51	5.7223E−02	6.0859E+00	6.4738E−02	3.4402E+00	6.8276E−02	2.9287E+00	7.2853E−02	2.5109E+00
52	5.5536E−02	6.1554E+00	6.2541E−02	3.4742E+00	6.5928E−02	2.9570E+00	7.0323E−02	2.5349E+00
53	5.3938E−02	6.2241E+00	6.0459E−02	3.5076E+00	6.3702E−02	2.9849E+00	6.7926E−02	2.5584E+00
54	5.2424E−02	6.2920E+00	5.8481E−02	3.5406E+00	6.1589E−02	3.0124E+00	6.5651E−02	2.5816E+00
55	5.0990E−02	6.3591E+00	5.6604E−02	3.5730E+00	5.9583E−02	3.0394E+00	6.3492E−02	2.6044E+00
56	4.9629E−02	6.4255E+00	5.4818E−02	3.6050E+00	5.7676E−02	3.0660E+00	6.1439E−02	2.6269E+00
57	4.8339E−02	6.4911E+00	5.3120E−02	3.6365E+00	5.5862E−02	3.0923E+00	5.9487E−02	2.6490E+00
58	4.7115E−02	6.5560E+00	5.1502E−02	3.6676E+00	5.4135E−02	3.1181E+00	5.7628E−02	2.6708E+00
59	4.5952E−02	6.6202E+00	4.9961E−02	3.6983E+00	5.2490E−02	3.1436E+00	5.5858E−02	2.6923E+00
60	4.4848E−02	6.6837E+00	4.8492E−02	3.7285E+00	5.0921E−02	3.1688E+00	5.4169E−02	2.7136E+00

Cd; [Z=48]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	7.7381E+00	3.5275E−01	9.1431E+00	2.3538E−01	9.6614E+00	2.0666E−01	1.0307E+01	1.8169E−01
1	6.7020E+00	4.0107E−01	8.0107E+00	2.6521E−01	8.4836E+00	2.3241E−01	9.0722E+00	2.0389E−01
2	4.9257E+00	5.2316E−01	6.0413E+00	3.3924E−01	6.4268E+00	2.9621E−01	6.8996E+00	2.5902E−01
3	3.5790E+00	6.7652E−01	4.5124E+00	4.3044E−01	4.8230E+00	3.7458E−01	5.1962E+00	3.2669E−01
4	2.6683E+00	8.4097E−01	3.4516E+00	5.2688E−01	3.7053E+00	4.5723E−01	4.0051E+00	3.9794E−01
5	2.0338E+00	1.0157E+00	2.6916E+00	6.2807E−01	2.9009E+00	5.4374E−01	3.1449E+00	4.7237E−01
6	1.5817E+00	1.2022E+00	2.1319E+00	7.3481E−01	2.3053E+00	6.3480E−01	2.5056E+00	5.5058E−01
7	1.2576E+00	1.3981E+00	1.7150E+00	8.4628E−01	1.8591E+00	7.2973E−01	2.0245E+00	6.3200E−01
8	1.0244E+00	1.5982E+00	1.4029E+00	9.6015E−01	1.5230E+00	8.2663E−01	1.6605E+00	7.1506E−01
9	8.5473E−01	1.7959E+00	1.1677E+00	1.0734E+00	1.2683E+00	9.2306E−01	1.3835E+00	7.9771E−01
10	7.2829E−01	1.9857E+00	9.8841E−01	1.1833E+00	1.0733E+00	1.0166E+00	1.1707E+00	8.7795E−01
11	6.3062E−01	2.1645E+00	8.4911E−01	1.2875E+00	9.2150E−01	1.1055E+00	1.0049E+00	9.5420E−01
12	5.5368E−01	2.3320E+00	7.3986E−01	1.3854E+00	8.0237E−01	1.1890E+00	8.7457E−01	1.0259E+00
13	4.9079E−01	2.4888E+00	6.5199E−01	1.4766E+00	7.0666E−01	1.2668E+00	7.6999E−01	1.0926E+00
14	4.3803E−01	2.6364E+00	5.7976E−01	1.5617E+00	6.2818E−01	1.3392E+00	6.8434E−01	1.1547E+00
15	3.9325E−01	2.7764E+00	5.1949E−01	1.6414E+00	5.6284E−01	1.4070E+00	6.1315E−01	1.2127E+00
16	3.5490E−01	2.9104E+00	4.6849E−01	1.7168E+00	5.0765E−01	1.4710E+00	5.5309E−01	1.2674E+00
17	3.2188E−01	3.0396E+00	4.2484E−01	1.7888E+00	4.6044E−01	1.5321E+00	5.0174E−01	1.3196E+00
18	2.9335E−01	3.1649E+00	3.8712E−01	1.8582E+00	4.1965E−01	1.5908E+00	4.5738E−01	1.3697E+00
19	2.6864E−01	3.2870E+00	3.5428E−01	1.9256E+00	3.8411E−01	1.6478E+00	4.1870E−01	1.4183E+00
20	2.4716E−01	3.4061E+00	3.2552E−01	1.9914E+00	3.5293E−01	1.7035E+00	3.8471E−01	1.4658E+00
21	2.2843E−01	3.5225E+00	3.0019E−01	2.0560E+00	3.2541E−01	1.7581E+00	3.5467E−01	1.5124E+00
22	2.1204E−01	3.6364E+00	2.7777E−01	2.1195E+00	3.0099E−01	1.8119E+00	3.2798E−01	1.5583E+00
23	1.9762E−01	3.7479E+00	2.5785E−01	2.1820E+00	2.7925E−01	1.8649E+00	3.0416E−01	1.6036E+00
24	1.8487E−01	3.8569E+00	2.4007E−01	2.2435E+00	2.5980E−01	1.9171E+00	2.8282E−01	1.6483E+00
25	1.7352E−01	3.9637E+00	2.2415E−01	2.3040E+00	2.4234E−01	1.9686E+00	2.6363E−01	1.6923E+00
26	1.6337E−01	4.0681E+00	2.0983E−01	2.3635E+00	2.2662E−01	2.0192E+00	2.4633E−01	1.7357E+00
27	1.5423E−01	4.1704E+00	1.9690E−01	2.4220E+00	2.1241E−01	2.0690E+00	2.3068E−01	1.7783E+00
28	1.4595E−01	4.2705E+00	1.8519E−01	2.4793E+00	1.9952E−01	2.1178E+00	2.1648E−01	1.8203E+00
29	1.3840E−01	4.3686E+00	1.7454E−01	2.5355E+00	1.8781E−01	2.1657E+00	2.0356E−01	1.8614E+00
30	1.3150E−01	4.4648E+00	1.6482E−01	2.5904E+00	1.7712E−01	2.2126E+00	1.9178E−01	1.9016E+00
31	1.2515E−01	4.5592E+00	1.5593E−01	2.6442E+00	1.6734E−01	2.2585E+00	1.8101E−01	1.9410E+00
32	1.1928E−01	4.6519E+00	1.4776E−01	2.6967E+00	1.5837E−01	2.3033E+00	1.7113E−01	1.9795E+00
33	1.1385E−01	4.7429E+00	1.4024E−01	2.7480E+00	1.5012E−01	2.3471E+00	1.6205E−01	2.0170E+00
34	1.0879E−01	4.8325E+00	1.3329E−01	2.7982E+00	1.4251E−01	2.3898E+00	1.5369E−01	2.0537E+00
35	1.0408E−01	4.9205E+00	1.2686E−01	2.8471E+00	1.3548E−01	2.4314E+00	1.4597E−01	2.0894E+00
36	9.9683E−02	5.0073E+00	1.2090E−01	2.8949E+00	1.2897E−01	2.4721E+00	1.3883E−01	2.1242E+00
37	9.5565E−02	5.0927E+00	1.1534E−01	2.9416E+00	1.2292E−01	2.5117E+00	1.3221E−01	2.1582E+00
38	9.1705E−02	5.1769E+00	1.1017E−01	2.9873E+00	1.1729E−01	2.5504E+00	1.2606E−01	2.1913E+00
39	8.8082E−02	5.2600E+00	1.0534E−01	3.0319E+00	1.1204E−01	2.5882E+00	1.2033E−01	2.2236E+00
40	8.4677E−02	5.3419E+00	1.0082E−01	3.0755E+00	1.0714E−01	2.6251E+00	1.1500E−01	2.2550E+00
41	8.1475E−02	5.4227E+00	9.6590E−02	3.1181E+00	1.0257E−01	2.6611E+00	1.1001E−01	2.2858E+00
42	7.8460E−02	5.5025E+00	9.2619E−02	3.1599E+00	9.8275E−02	2.6963E+00	1.0535E−01	2.3158E+00
43	7.5620E−02	5.5813E+00	8.8890E−02	3.2008E+00	9.4251E−02	2.7308E+00	1.0098E−01	2.3451E+00
44	7.2942E−02	5.6592E+00	8.5383E−02	3.2409E+00	9.0471E−02	2.7645E+00	9.6878E−02	2.3737E+00
45	7.0417E−02	5.7361E+00	8.2080E−02	3.2802E+00	8.6916E−02	2.7975E+00	9.3026E−02	2.4018E+00
46	6.8033E−02	5.8121E+00	7.8967E−02	3.3187E+00	8.3569E−02	2.8298E+00	8.9404E−02	2.4292E+00
47	6.5781E−02	5.8872E+00	7.6030E−02	3.3566E+00	8.0414E−02	2.8616E+00	8.5991E−02	2.4561E+00
48	6.3654E−02	5.9614E+00	7.3255E−02	3.3937E+00	7.7437E−02	2.8927E+00	8.2773E−02	2.4824E+00
49	6.1643E−02	6.0347E+00	7.0632E−02	3.4302E+00	7.4624E−02	2.9232E+00	7.9736E−02	2.5082E+00
50	5.9741E−02	6.1072E+00	6.8150E−02	3.4661E+00	7.1965E−02	2.9532E+00	7.6865E−02	2.5336E+00
51	5.7942E−02	6.1789E+00	6.5800E−02	3.5014E+00	6.9447E−02	2.9826E+00	7.4149E−02	2.5585E+00
52	5.6238E−02	6.2498E+00	6.3572E−02	3.5361E+00	6.7062E−02	3.0116E+00	7.1577E−02	2.5830E+00
53	5.4625E−02	6.3199E+00	6.1458E−02	3.5703E+00	6.4801E−02	3.0401E+00	6.9139E−02	2.6071E+00
54	5.3096E−02	6.3893E+00	5.9452E−02	3.6039E+00	6.2654E−02	3.0682E+00	6.6826E−02	2.6307E+00
55	5.1647E−02	6.4578E+00	5.7545E−02	3.6371E+00	6.0616E−02	3.0958E+00	6.4630E−02	2.6540E+00
56	5.0273E−02	6.5256E+00	5.5733E−02	3.6697E+00	5.8678E−02	3.1230E+00	6.2542E−02	2.6770E+00
57	4.8970E−02	6.5927E+00	5.4008E−02	3.7019E+00	5.6834E−02	3.1497E+00	6.0557E−02	2.6996E+00
58	4.7733E−02	6.6591E+00	5.2365E−02	3.7336E+00	5.5079E−02	3.1762E+00	5.8666E−02	2.7219E+00
59	4.6559E−02	6.7247E+00	5.0800E−02	3.7649E+00	5.3406E−02	3.2022E+00	5.6865E−02	2.7438E+00
60	4.5444E−02	6.7896E+00	4.9307E−02	3.7958E+00	5.1811E−02	3.2279E+00	5.5148E−02	2.7655E+00

In; [Z=49]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	8.8299E+00	3.2999E−01	1.0367E+01	2.2127E−01	1.0945E+01	1.9451E−01	1.1670E+01	1.7117E−01
1	7.3855E+00	3.8743E−01	8.7935E+00	2.5697E−01	9.3076E+00	2.2539E−01	9.9503E+00	1.9789E−01
2	5.1550E+00	5.2904E−01	6.3239E+00	3.4300E−01	6.7286E+00	2.9960E−01	7.2249E+00	2.6209E−01
3	3.6353E+00	7.0107E−01	4.5945E+00	4.4515E−01	4.9136E+00	3.8737E−01	5.2966E+00	3.3790E−01
4	2.6811E+00	8.7715E−01	3.4778E+00	5.4827E−01	3.7362E+00	4.7576E−01	4.0411E+00	4.1410E−01
5	2.0422E+00	1.0560E+00	2.7099E+00	6.5193E−01	2.9228E+00	5.6441E−01	3.1708E+00	4.9040E−01
6	1.5921E+00	1.2419E+00	2.1522E+00	7.5861E−01	2.3293E+00	6.5547E−01	2.5335E+00	5.6865E−01
7	1.2685E+00	1.4358E+00	1.7366E+00	8.6913E−01	1.8844E+00	7.4966E−01	2.0537E+00	6.4948E−01
8	1.0341E+00	1.6345E+00	1.4234E+00	9.8234E−01	1.5471E+00	8.4605E−01	1.6883E+00	7.3213E−01
9	8.6262E−01	1.8326E+00	1.1857E+00	1.0959E+00	1.2895E+00	9.4271E−01	1.4081E+00	8.1501E−01
10	7.3473E−01	2.0246E+00	1.0035E+00	1.2070E+00	1.0912E+00	1.0374E+00	1.1916E+00	8.9626E−01
11	6.3621E−01	2.2067E+00	8.6159E−01	1.3135E+00	9.3632E−01	1.1283E+00	1.0222E+00	9.7420E−01
12	5.5886E−01	2.3782E+00	7.5019E−01	1.4141E+00	8.1454E−01	1.2142E+00	8.8877E−01	1.0480E+00
13	4.9582E−01	2.5390E+00	6.6066E−01	1.5084E+00	7.1675E−01	1.2947E+00	7.8168E−01	1.1171E+00
14	4.4298E−01	2.6902E+00	5.8718E−01	1.5963E+00	6.3668E−01	1.3697E+00	6.9412E−01	1.1815E+00
15	3.9809E−01	2.8335E+00	5.2597E−01	1.6787E+00	5.7015E−01	1.4398E+00	6.2148E−01	1.2416E+00
16	3.5955E−01	2.9703E+00	4.7424E−01	1.7563E+00	5.1405E−01	1.5058E+00	5.6032E−01	1.2981E+00
17	3.2626E−01	3.1019E+00	4.2999E−01	1.8302E+00	4.6614E−01	1.5684E+00	5.0816E−01	1.3516E+00
18	2.9740E−01	3.2292E+00	3.9179E−01	1.9010E+00	4.2480E−01	1.6284E+00	4.6317E−01	1.4029E+00
19	2.7232E−01	3.3530E+00	3.5854E−01	1.9694E+00	3.8882E−01	1.6864E+00	4.2400E−01	1.4523E+00
20	2.5047E−01	3.4736E+00	3.2942E−01	2.0360E+00	3.5727E−01	1.7427E+00	3.8963E−01	1.5004E+00
21	2.3139E−01	3.5914E+00	3.0378E−01	2.1012E+00	3.2944E−01	1.7979E+00	3.5927E−01	1.5474E+00
22	2.1466E−01	3.7066E+00	2.8109E−01	2.1651E+00	3.0476E−01	1.8520E+00	3.3230E−01	1.5936E+00
23	1.9994E−01	3.8193E+00	2.6093E−01	2.2280E+00	2.8278E−01	1.9053E+00	3.0824E−01	1.6391E+00
24	1.8692E−01	3.9295E+00	2.4294E−01	2.2899E+00	2.6313E−01	1.9578E+00	2.8668E−01	1.6840E+00
25	1.7535E−01	4.0374E+00	2.2683E−01	2.3508E+00	2.4548E−01	2.0095E+00	2.6730E−01	1.7282E+00
26	1.6501E−01	4.1429E+00	2.1234E−01	2.4107E+00	2.2959E−01	2.0605E+00	2.4982E−01	1.7719E+00
27	1.5571E−01	4.2463E+00	1.9927E−01	2.4696E+00	2.1522E−01	2.1106E+00	2.3400E−01	1.8148E+00
28	1.4730E−01	4.3475E+00	1.8743E−01	2.5274E+00	2.0220E−01	2.1599E+00	2.1964E−01	1.8571E+00
29	1.3966E−01	4.4467E+00	1.7666E−01	2.5841E+00	1.9036E−01	2.2083E+00	2.0658E−01	1.8986E+00
30	1.3267E−01	4.5439E+00	1.6685E−01	2.6397E+00	1.7955E−01	2.2557E+00	1.9466E−01	1.9393E+00
31	1.2626E−01	4.6394E+00	1.5787E−01	2.6942E+00	1.6967E−01	2.3021E+00	1.8376E−01	1.9792E+00
32	1.2034E−01	4.7331E+00	1.4962E−01	2.7475E+00	1.6060E−01	2.3476E+00	1.7376E−01	2.0183E+00
33	1.1487E−01	4.8252E+00	1.4203E−01	2.7995E+00	1.5226E−01	2.3920E+00	1.6457E−01	2.0564E+00
34	1.0978E−01	4.9157E+00	1.3502E−01	2.8505E+00	1.4457E−01	2.4355E+00	1.5611E−01	2.0937E+00
35	1.0505E−01	5.0048E+00	1.2854E−01	2.9003E+00	1.3746E−01	2.4779E+00	1.4829E−01	2.1301E+00
36	1.0063E−01	5.0926E+00	1.2251E−01	2.9489E+00	1.3087E−01	2.5193E+00	1.4105E−01	2.1656E+00
37	9.6487E−02	5.1791E+00	1.1691E−01	2.9965E+00	1.2475E−01	2.5598E+00	1.3434E−01	2.2003E+00
38	9.2609E−02	5.2644E+00	1.1169E−01	3.0430E+00	1.1906E−01	2.5993E+00	1.2811E−01	2.2341E+00
39	8.8969E−02	5.3485E+00	1.0682E−01	3.0885E+00	1.1375E−01	2.6378E+00	1.2230E−01	2.2671E+00
40	8.5548E−02	5.4315E+00	1.0226E−01	3.1330E+00	1.0880E−01	2.6755E+00	1.1689E−01	2.2993E+00
41	8.2329E−02	5.5135E+00	9.7984E−02	3.1765E+00	1.0416E−01	2.7123E+00	1.1184E−01	2.3308E+00
42	7.9298E−02	5.5944E+00	9.3974E−02	3.2191E+00	9.9820E−02	2.7483E+00	1.0710E−01	2.3615E+00
43	7.6442E−02	5.6744E+00	9.0207E−02	3.2609E+00	9.5745E−02	2.7836E+00	1.0267E−01	2.3915E+00
44	7.3748E−02	5.7534E+00	8.6662E−02	3.3018E+00	9.1917E−02	2.8180E+00	9.8511E−02	2.4208E+00
45	7.1206E−02	5.8315E+00	8.3323E−02	3.3419E+00	8.8316E−02	2.8518E+00	9.4602E−02	2.4495E+00
46	6.8805E−02	5.9087E+00	8.0174E−02	3.3813E+00	8.4924E−02	2.8849E+00	9.0924E−02	2.4776E+00
47	6.6537E−02	5.9850E+00	7.7203E−02	3.4199E+00	8.1726E−02	2.9173E+00	8.7460E−02	2.5051E+00
48	6.4393E−02	6.0605E+00	7.4394E−02	3.4579E+00	7.8707E−02	2.9491E+00	8.4192E−02	2.5321E+00
49	6.2366E−02	6.1352E+00	7.1739E−02	3.4952E+00	7.5855E−02	2.9803E+00	8.1107E−02	2.5585E+00
50	6.0448E−02	6.2090E+00	6.9225E−02	3.5318E+00	7.3157E−02	3.0110E+00	7.8191E−02	2.5845E+00
51	5.8633E−02	6.2820E+00	6.6843E−02	3.5679E+00	7.0602E−02	3.0411E+00	7.5431E−02	2.6099E+00
52	5.6913E−02	6.3543E+00	6.4585E−02	3.6033E+00	6.8182E−02	3.0707E+00	7.2818E−02	2.6349E+00
53	5.5285E−02	6.4257E+00	6.2442E−02	3.6382E+00	6.5886E−02	3.0998E+00	7.0341E−02	2.6595E+00
54	5.3742E−02	6.4965E+00	6.0408E−02	3.6725E+00	6.3707E−02	3.1284E+00	6.7990E−02	2.6837E+00
55	5.2279E−02	6.5664E+00	5.8474E−02	3.7064E+00	6.1637E−02	3.1566E+00	6.5758E−02	2.7076E+00
56	5.0892E−02	6.6356E+00	5.6635E−02	3.7397E+00	5.9669E−02	3.1844E+00	6.3636E−02	2.7310E+00
57	4.9576E−02	6.7042E+00	5.4884E−02	3.7726E+00	5.7796E−02	3.2118E+00	6.1617E−02	2.7541E+00
58	4.8328E−02	6.7719E+00	5.3217E−02	3.8050E+00	5.6012E−02	3.2387E+00	5.9695E−02	2.7768E+00
59	4.7143E−02	6.8390E+00	5.1628E−02	3.8369E+00	5.4313E−02	3.2653E+00	5.7864E−02	2.7992E+00
60	4.6018E−02	6.9054E+00	5.0113E−02	3.8684E+00	5.2692E−02	3.2915E+00	5.6118E−02	2.8213E+00

Sn; [Z=50]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	9.1786E+00	3.3340E−01	1.0780E+01	2.2360E−01	1.1382E+01	1.9664E−01	1.2139E+01	1.7311E−01
1	7.7393E+00	3.8759E−01	9.2128E+00	2.5743E−01	9.7520E+00	2.2594E−01	1.0427E+01	1.9848E−01
2	5.3724E+00	5.2997E−01	6.5939E+00	3.4428E−01	7.0175E+00	3.0092E−01	7.5367E+00	2.6341E−01
3	3.7159E+00	7.1361E−01	4.7069E+00	4.5338E−01	5.0366E+00	3.9471E−01	5.4318E+00	3.4446E−01
4	2.7051E+00	9.0281E−01	3.5185E+00	5.6406E−01	3.7826E+00	4.8957E−01	4.0938E+00	4.2625E−01
5	2.0528E+00	1.0891E+00	2.7304E+00	6.7207E−01	2.9471E+00	5.8197E−01	3.1993E+00	5.0580E−01
6	1.6019E+00	1.2768E+00	2.1705E+00	7.7998E−01	2.3508E+00	6.7413E−01	2.5587E+00	5.8503E−01
7	1.2786E+00	1.4695E+00	1.7557E+00	8.9007E−01	1.9067E+00	7.6799E−01	2.0796E+00	6.6562E−01
8	1.0433E+00	1.6666E+00	1.4421E+00	1.0025E+00	1.5690E+00	8.6377E−01	1.7138E+00	7.4778E−01
9	8.7022E−01	1.8643E+00	1.2027E+00	1.1158E+00	1.3096E+00	9.6027E−01	1.4316E+00	8.3055E−01
10	7.4090E−01	2.0575E+00	1.0181E+00	1.2277E+00	1.1086E+00	1.0556E+00	1.2120E+00	9.1237E−01
11	6.4147E−01	2.2422E+00	8.7398E−01	1.3358E+00	9.5107E−01	1.1479E+00	1.0395E+00	9.9159E−01
12	5.6366E−01	2.4172E+00	7.6054E−01	1.4388E+00	8.2683E−01	1.2359E+00	9.0317E−01	1.0672E+00
13	5.0046E−01	2.5817E+00	6.6939E−01	1.5358E+00	7.2701E−01	1.3188E+00	7.9365E−01	1.1385E+00
14	4.4761E−01	2.7365E+00	5.9468E−01	1.6266E+00	6.4536E−01	1.3964E+00	7.0416E−01	1.2051E+00
15	4.0268E−01	2.8830E+00	5.3252E−01	1.7117E+00	5.7761E−01	1.4689E+00	6.3002E−01	1.2673E+00
16	3.6405E−01	3.0227E+00	4.8006E−01	1.7917E+00	5.2057E−01	1.5371E+00	5.6772E−01	1.3257E+00
17	3.3058E−01	3.1567E+00	4.3522E−01	1.8675E+00	4.7194E−01	1.6015E+00	5.1469E−01	1.3809E+00
18	3.0147E−01	3.2862E+00	3.9653E−01	1.9399E+00	4.3002E−01	1.6629E+00	4.6903E−01	1.4334E+00
19	2.7609E−01	3.4118E+00	3.6286E−01	2.0096E+00	3.9357E−01	1.7220E+00	4.2933E−01	1.4838E+00
20	2.5390E−01	3.5341E+00	3.3338E−01	2.0772E+00	3.6163E−01	1.7792E+00	3.9453E−01	1.5326E+00
21	2.3448E−01	3.6534E+00	3.0742E−01	2.1431E+00	3.3348E−01	1.8349E+00	3.6383E−01	1.5802E+00
22	2.1743E−01	3.7700E+00	2.8444E−01	2.2076E+00	3.0852E−01	1.8896E+00	3.3657E−01	1.6268E+00
23	2.0240E−01	3.8840E+00	2.6403E−01	2.2710E+00	2.8629E−01	1.9432E+00	3.1226E−01	1.6726E+00
24	1.8911E−01	3.9955E+00	2.4581E−01	2.3333E+00	2.6641E−01	1.9960E+00	2.9048E−01	1.7177E+00
25	1.7730E−01	4.1045E+00	2.2950E−01	2.3946E+00	2.4857E−01	2.0480E+00	2.7090E−01	1.7622E+00
26	1.6676E−01	4.2113E+00	2.1484E−01	2.4548E+00	2.3250E−01	2.0993E+00	2.5323E−01	1.8060E+00
27	1.5728E−01	4.3157E+00	2.0161E−01	2.5142E+00	2.1798E−01	2.1497E+00	2.3725E−01	1.8493E+00
28	1.4873E−01	4.4181E+00	1.8963E−01	2.5724E+00	2.0482E−01	2.1994E+00	2.2273E−01	1.8918E+00
29	1.4097E−01	4.5183E+00	1.7875E−01	2.6297E+00	1.9284E−01	2.2482E+00	2.0953E−01	1.9337E+00
30	1.3389E−01	4.6167E+00	1.6883E−01	2.6858E+00	1.8192E−01	2.2961E+00	1.9748E−01	1.9748E+00
31	1.2740E−01	4.7131E+00	1.5976E−01	2.7409E+00	1.7193E−01	2.3431E+00	1.8645E−01	2.0152E+00
32	1.2142E−01	4.8078E+00	1.5144E−01	2.7948E+00	1.6277E−01	2.3891E+00	1.7633E−01	2.0547E+00
33	1.1590E−01	4.9009E+00	1.4377E−01	2.8476E+00	1.5434E−01	2.4342E+00	1.6703E−01	2.0934E+00
34	1.1077E−01	4.9925E+00	1.3670E−01	2.8993E+00	1.4657E−01	2.4783E+00	1.5847E−01	2.1313E+00
35	1.0600E−01	5.0826E+00	1.3015E−01	2.9499E+00	1.3938E−01	2.5214E+00	1.5055E−01	2.1683E+00
36	1.0155E−01	5.1714E+00	1.2408E−01	2.9993E+00	1.3272E−01	2.5635E+00	1.4322E−01	2.2045E+00
37	9.7390E−02	5.2589E+00	1.1843E−01	3.0477E+00	1.2654E−01	2.6047E+00	1.3643E−01	2.2399E+00
38	9.3491E−02	5.3452E+00	1.1317E−01	3.0951E+00	1.2078E−01	2.6450E+00	1.3011E−01	2.2744E+00
39	8.9832E−02	5.4303E+00	1.0825E−01	3.1414E+00	1.1542E−01	2.6843E+00	1.2423E−01	2.3080E+00
40	8.6393E−02	5.5144E+00	1.0365E−01	3.1867E+00	1.1041E−01	2.7228E+00	1.1875E−01	2.3410E+00
41	8.3157E−02	5.5974E+00	9.9337E−02	3.2311E+00	1.0572E−01	2.7604E+00	1.1363E−01	2.3731E+00
42	8.0110E−02	5.6795E+00	9.5291E−02	3.2745E+00	1.0133E−01	2.7972E+00	1.0883E−01	2.4045E+00
43	7.7237E−02	5.7605E+00	9.1487E−02	3.3171E+00	9.7207E−02	2.8331E+00	1.0434E−01	2.4352E+00
44	7.4526E−02	5.8407E+00	8.7908E−02	3.3589E+00	9.3333E−02	2.8684E+00	1.0012E−01	2.4652E+00
45	7.1967E−02	5.9199E+00	8.4535E−02	3.3998E+00	8.9688E−02	2.9029E+00	9.6154E−02	2.4945E+00
46	6.9551E−02	5.9983E+00	8.1353E−02	3.4400E+00	8.6253E−02	2.9367E+00	9.2424E−02	2.5233E+00
47	6.7267E−02	6.0758E+00	7.8349E−02	3.4794E+00	8.3014E−02	2.9698E+00	8.8909E−02	2.5514E+00
48	6.5107E−02	6.1525E+00	7.5509E−02	3.5182E+00	7.9956E−02	3.0023E+00	8.5593E−02	2.5790E+00
49	6.3063E−02	6.2284E+00	7.2823E−02	3.5562E+00	7.7065E−02	3.0342E+00	8.2461E−02	2.6061E+00
50	6.1130E−02	6.3035E+00	7.0279E−02	3.5936E+00	7.4330E−02	3.0655E+00	7.9501E−02	2.6326E+00
51	5.9299E−02	6.3778E+00	6.7868E−02	3.6304E+00	7.1741E−02	3.0963E+00	7.6700E−02	2.6586E+00
52	5.7565E−02	6.4514E+00	6.5581E−02	3.6666E+00	6.9286E−02	3.1265E+00	7.4046E−02	2.6842E+00
53	5.5922E−02	6.5242E+00	6.3410E−02	3.7022E+00	6.6957E−02	3.1562E+00	7.1530E−02	2.7094E+00
54	5.4365E−02	6.5962E+00	6.1348E−02	3.7373E+00	6.4746E−02	3.1855E+00	6.9143E−02	2.7341E+00
55	5.2889E−02	6.6676E+00	5.9388E−02	3.7718E+00	6.2646E−02	3.2143E+00	6.6875E−02	2.7584E+00
56	5.1489E−02	6.7382E+00	5.7524E−02	3.8058E+00	6.0648E−02	3.2426E+00	6.4719E−02	2.7823E+00
57	5.0162E−02	6.8081E+00	5.5749E−02	3.8394E+00	5.8747E−02	3.2706E+00	6.2668E−02	2.8059E+00
58	4.8902E−02	6.8773E+00	5.4058E−02	3.8724E+00	5.6936E−02	3.2981E+00	6.0715E−02	2.8291E+00
59	4.7706E−02	6.9458E+00	5.2446E−02	3.9050E+00	5.5211E−02	3.3252E+00	5.8855E−02	2.8519E+00
60	4.6571E−02	7.0136E+00	5.0908E−02	3.9372E+00	5.3565E−02	3.3519E+00	5.7080E−02	2.8745E+00

Sb; [Z=51]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	9.2392E+00	3.4422E−01	1.0879E+01	2.3076E−01	1.1493E+01	2.0299E−01	1.2263E+01	1.7877E−01
1	7.9140E+00	3.9358E−01	9.4351E+00	2.6168E−01	9.9910E+00	2.2979E−01	1.0686E+01	2.0197E−01
2	5.5606E+00	5.3038E−01	6.8317E+00	3.4546E−01	7.2727E+00	3.0219E−01	7.8130E+00	2.6472E−01
3	3.8093E+00	7.1939E−01	4.8361E+00	4.5798E−01	5.1775E+00	3.9897E−01	5.5863E+00	3.4839E−01
4	2.7389E+00	9.2084E−01	3.5723E+00	5.7575E−01	3.8431E+00	4.9992E−01	4.1618E+00	4.3545E−01
5	2.0668E+00	1.1169E+00	2.7552E+00	6.8939E−01	2.9759E+00	5.9716E−01	3.2326E+00	5.1918E−01
6	1.6121E+00	1.3087E+00	2.1883E+00	7.9986E−01	2.3717E+00	6.9153E−01	2.5831E+00	6.0035E−01
7	1.2883E+00	1.5015E+00	1.7729E+00	9.1023E−01	1.9269E+00	7.8570E−01	2.1031E+00	6.8123E−01
8	1.0521E+00	1.6972E+00	1.4592E+00	1.0220E+00	1.5890E+00	8.8098E−01	1.7371E+00	7.6301E−01
9	8.7762E−01	1.8939E+00	1.2186E+00	1.1348E+00	1.3284E+00	9.7709E−01	1.4536E+00	8.4547E−01
10	7.4689E−01	2.0876E+00	1.0323E+00	1.2469E+00	1.1254E+00	1.0726E+00	1.2318E+00	9.2750E−01
11	6.4648E−01	2.2743E+00	8.8612E−01	1.3562E+00	9.6556E−01	1.1659E+00	1.0566E+00	1.0076E+00
12	5.6814E−01	2.4521E+00	7.7083E−01	1.4612E+00	8.3910E−01	1.2557E+00	9.1763E−01	1.0847E+00
13	5.0474E−01	2.6200E+00	6.7813E−01	1.5606E+00	7.3737E−01	1.3407E+00	8.0580E−01	1.1579E+00
14	4.5189E−01	2.7782E+00	6.0222E−01	1.6541E+00	6.5416E−01	1.4207E+00	7.1440E−01	1.2266E+00
15	4.0700E−01	2.9279E+00	5.3913E−01	1.7418E+00	5.8519E−01	1.4956E+00	6.3876E−01	1.2910E+00
16	3.6835E−01	3.0704E+00	4.8593E−01	1.8242E+00	5.2720E−01	1.5660E+00	5.7529E−01	1.3514E+00
17	3.3479E−01	3.2070E+00	4.4051E−01	1.9022E+00	4.7782E−01	1.6323E+00	5.2134E−01	1.4082E+00
18	3.0550E−01	3.3387E+00	4.0132E−01	1.9764E+00	4.3531E−01	1.6954E+00	4.7496E−01	1.4622E+00
19	2.7987E−01	3.4663E+00	3.6724E−01	2.0476E+00	3.9837E−01	1.7557E+00	4.3470E−01	1.5138E+00
20	2.5740E−01	3.5903E+00	3.3739E−01	2.1163E+00	3.6603E−01	1.8139E+00	3.9945E−01	1.5635E+00
21	2.3767E−01	3.7112E+00	3.1109E−01	2.1831E+00	3.3753E−01	1.8705E+00	3.6837E−01	1.6117E+00
22	2.2031E−01	3.8293E+00	2.8783E−01	2.2483E+00	3.1227E−01	1.9257E+00	3.4081E−01	1.6588E+00
23	2.0499E−01	3.9447E+00	2.6715E−01	2.3122E+00	2.8978E−01	1.9798E+00	3.1623E−01	1.7050E+00
24	1.9143E−01	4.0575E+00	2.4870E−01	2.3750E+00	2.6968E−01	2.0329E+00	2.9422E−01	1.7504E+00
25	1.7937E−01	4.1678E+00	2.3218E−01	2.4367E+00	2.5164E−01	2.0853E+00	2.7443E−01	1.7951E+00
26	1.6861E−01	4.2758E+00	2.1733E−01	2.4974E+00	2.3539E−01	2.1368E+00	2.5658E−01	1.8392E+00
27	1.5895E−01	4.3815E+00	2.0394E−01	2.5571E+00	2.2070E−01	2.1876E+00	2.4042E−01	1.8827E+00
28	1.5025E−01	4.4849E+00	1.9182E−01	2.6158E+00	2.0739E−01	2.2376E+00	2.2576E−01	1.9255E+00
29	1.4235E−01	4.5863E+00	1.8081E−01	2.6735E+00	1.9528E−01	2.2868E+00	2.1241E−01	1.9677E+00
30	1.3516E−01	4.6857E+00	1.7079E−01	2.7302E+00	1.8424E−01	2.3351E+00	2.0022E−01	2.0092E+00
31	1.2858E−01	4.7832E+00	1.6162E−01	2.7858E+00	1.7415E−01	2.3826E+00	1.8907E−01	2.0499E+00
32	1.2253E−01	4.8790E+00	1.5321E−01	2.8404E+00	1.6488E−01	2.4291E+00	1.7884E−01	2.0899E+00
33	1.1695E−01	4.9731E+00	1.4547E−01	2.8938E+00	1.5637E−01	2.4748E+00	1.6944E−01	2.1291E+00
34	1.1177E−01	5.0657E+00	1.3833E−01	2.9462E+00	1.4851E−01	2.5195E+00	1.6077E−01	2.1676E+00
35	1.0696E−01	5.1568E+00	1.3173E−01	2.9975E+00	1.4125E−01	2.5632E+00	1.5276E−01	2.2052E+00
36	1.0247E−01	5.2465E+00	1.2560E−01	3.0477E+00	1.3452E−01	2.6061E+00	1.4535E−01	2.2420E+00
37	9.8285E−02	5.3350E+00	1.1990E−01	3.0968E+00	1.2828E−01	2.6479E+00	1.3847E−01	2.2779E+00
38	9.4360E−02	5.4223E+00	1.1460E−01	3.1450E+00	1.2246E−01	2.6889E+00	1.3208E−01	2.3131E+00
39	9.0678E−02	5.5084E+00	1.0964E−01	3.1921E+00	1.1704E−01	2.7290E+00	1.2612E−01	2.3474E+00
40	8.7219E−02	5.5935E+00	1.0500E−01	3.2382E+00	1.1198E−01	2.7682E+00	1.2057E−01	2.3810E+00
41	8.3964E−02	5.6775E+00	1.0065E−01	3.2834E+00	1.0724E−01	2.8065E+00	1.1538E−01	2.4138E+00
42	8.0898E−02	5.7605E+00	9.6569E−02	3.3277E+00	1.0280E−01	2.8440E+00	1.1053E−01	2.4459E+00
43	7.8008E−02	5.8426E+00	9.2732E−02	3.3711E+00	9.8635E−02	2.8808E+00	1.0597E−01	2.4772E+00
44	7.5281E−02	5.9239E+00	8.9119E−02	3.4137E+00	9.4718E−02	2.9167E+00	1.0170E−01	2.5079E+00
45	7.2705E−02	6.0042E+00	8.5715E−02	3.4554E+00	9.1031E−02	2.9519E+00	9.7682E−02	2.5379E+00
46	7.0272E−02	6.0837E+00	8.2502E−02	3.4964E+00	8.7556E−02	2.9864E+00	9.3900E−02	2.5673E+00
47	6.7971E−02	6.1623E+00	7.9468E−02	3.5366E+00	8.4278E−02	3.0203E+00	9.0336E−02	2.5961E+00
48	6.5796E−02	6.2402E+00	7.6598E−02	3.5761E+00	8.1182E−02	3.0535E+00	8.6974E−02	2.6243E+00
49	6.3737E−02	6.3173E+00	7.3883E−02	3.6149E+00	7.8255E−02	3.0861E+00	8.3798E−02	2.6519E+00
50	6.1788E−02	6.3936E+00	7.1310E−02	3.6531E+00	7.5485E−02	3.1180E+00	8.0795E−02	2.6790E+00
51	5.9942E−02	6.4692E+00	6.8872E−02	3.6906E+00	7.2861E−02	3.1495E+00	7.7953E−02	2.7057E+00
52	5.8193E−02	6.5440E+00	6.6558E−02	3.7275E+00	7.0374E−02	3.1803E+00	7.5260E−02	2.7318E+00
53	5.6536E−02	6.6181E+00	6.4361E−02	3.7638E+00	6.8013E−02	3.2107E+00	7.2707E−02	2.7575E+00
54	5.4966E−02	6.6914E+00	6.2273E−02	3.7996E+00	6.5772E−02	3.2406E+00	7.0283E−02	2.7827E+00
55	5.3477E−02	6.7641E+00	6.0288E−02	3.8349E+00	6.3641E−02	3.2700E+00	6.7981E−02	2.8076E+00
56	5.2064E−02	6.8361E+00	5.8399E−02	3.8695E+00	6.1615E−02	3.2989E+00	6.5792E−02	2.8320E+00
57	5.0725E−02	6.9073E+00	5.6600E−02	3.9038E+00	5.9686E−02	3.3274E+00	6.3709E−02	2.8561E+00
58	4.9454E−02	6.9779E+00	5.4886E−02	3.9375E+00	5.7849E−02	3.3555E+00	6.1726E−02	2.8797E+00
59	4.8248E−02	7.0479E+00	5.3252E−02	3.9707E+00	5.6098E−02	3.3831E+00	5.9836E−02	2.9031E+00
60	4.7103E−02	7.1171E+00	5.1693E−02	4.0035E+00	5.4428E−02	3.4104E+00	5.8033E−02	2.9261E+00

Te; [Z=52]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	9.1728E+00	3.5733E−01	1.0839E+01	2.3954E−01	1.1459E+01	2.1079E−01	1.2233E+01	1.8571E−01
1	7.9735E+00	4.0253E−01	9.5306E+00	2.6793E−01	1.0098E+01	2.3540E−01	1.0805E+01	2.0702E−01
2	5.7059E+00	5.3203E−01	7.0211E+00	3.4755E−01	7.4772E+00	3.0427E−01	8.0354E+00	2.6674E−01
3	3.9052E+00	7.2120E−01	4.9692E+00	4.6048E−01	5.3228E+00	4.0147E−01	5.7457E+00	3.5083E−01
4	2.7806E+00	9.3204E−01	3.6376E+00	5.8376E−01	3.9160E+00	5.0718E−01	4.2433E+00	4.4202E−01
5	2.0847E+00	1.1388E+00	2.7858E+00	7.0358E−01	3.0111E+00	6.0971E−01	3.2729E+00	5.3032E−01
6	1.6234E+00	1.3370E+00	2.2071E+00	8.1787E−01	2.3937E+00	7.0738E−01	2.6086E+00	6.1435E−01
7	1.2981E+00	1.5316E+00	1.7891E+00	9.2953E−01	1.9458E+00	8.0269E−01	2.1252E+00	6.9626E−01
8	1.0609E+00	1.7266E+00	1.4749E+00	1.0411E+00	1.6074E+00	8.9786E−01	1.7585E+00	7.7798E−01
9	8.8498E−01	1.9223E+00	1.2335E+00	1.1534E+00	1.3460E+00	9.9353E−01	1.4741E+00	8.6009E−01
10	7.5280E−01	2.1158E+00	1.0457E+00	1.2653E+00	1.1415E+00	1.0890E+00	1.2506E+00	9.4206E−01
11	6.5134E−01	2.3037E+00	8.9789E−01	1.3753E+00	9.7970E−01	1.1829E+00	1.0732E+00	1.0227E+00
12	5.7234E−01	2.4839E+00	7.8094E−01	1.4817E+00	8.5125E−01	1.2739E+00	9.3198E−01	1.1009E+00
13	5.0869E−01	2.6546E+00	6.8681E−01	1.5832E+00	7.4772E−01	1.3608E+00	8.1801E−01	1.1757E+00
14	4.5581E−01	2.8160E+00	6.0973E−01	1.6791E+00	6.6303E−01	1.4429E+00	7.2479E−01	1.2464E+00
15	4.1099E−01	2.9687E+00	5.4573E−01	1.7694E+00	5.9285E−01	1.5201E+00	6.4765E−01	1.3128E+00
16	3.7239E−01	3.1141E+00	4.9182E−01	1.8543E+00	5.3391E−01	1.5927E+00	5.8298E−01	1.3752E+00
17	3.3881E−01	3.2532E+00	4.4582E−01	1.9345E+00	4.8377E−01	1.6611E+00	5.2810E−01	1.4339E+00
18	3.0942E−01	3.3872E+00	4.0616E−01	2.0106E+00	4.4065E−01	1.7259E+00	4.8098E−01	1.4894E+00
19	2.8361E−01	3.5168E+00	3.7166E−01	2.0834E+00	4.0322E−01	1.7877E+00	4.4012E−01	1.5423E+00
20	2.6092E−01	3.6427E+00	3.4144E−01	2.1535E+00	3.7046E−01	1.8471E+00	4.0440E−01	1.5930E+00
21	2.4092E−01	3.7653E+00	3.1482E−01	2.2213E+00	3.4160E−01	1.9046E+00	3.7293E−01	1.6421E+00
22	2.2328E−01	3.8849E+00	2.9126E−01	2.2874E+00	3.1604E−01	1.9605E+00	3.4504E−01	1.6898E+00
23	2.0768E−01	4.0018E+00	2.7031E−01	2.3520E+00	2.9328E−01	2.0151E+00	3.2018E−01	1.7364E+00
24	1.9385E−01	4.1160E+00	2.5162E−01	2.4153E+00	2.7294E−01	2.0687E+00	2.9792E−01	1.7822E+00
25	1.8156E−01	4.2277E+00	2.3488E−01	2.4774E+00	2.5469E−01	2.1214E+00	2.7792E−01	1.8272E+00
26	1.7057E−01	4.3369E+00	2.1984E−01	2.5386E+00	2.3824E−01	2.1733E+00	2.5988E−01	1.8715E+00
27	1.6072E−01	4.4439E+00	2.0628E−01	2.5987E+00	2.2339E−01	2.2244E+00	2.4355E−01	1.9153E+00
28	1.5185E−01	4.5486E+00	1.9400E−01	2.6579E+00	2.0993E−01	2.2747E+00	2.2872E−01	1.9583E+00
29	1.4381E−01	4.6511E+00	1.8286E−01	2.7160E+00	1.9769E−01	2.3242E+00	2.1523E−01	2.0008E+00
30	1.3650E−01	4.7516E+00	1.7272E−01	2.7732E+00	1.8652E−01	2.3730E+00	2.0291E−01	2.0426E+00
31	1.2982E−01	4.8502E+00	1.6345E−01	2.8293E+00	1.7631E−01	2.4209E+00	1.9164E−01	2.0837E+00
32	1.2368E−01	4.9471E+00	1.5495E−01	2.8844E+00	1.6695E−01	2.4679E+00	1.8130E−01	2.1241E+00
33	1.1802E−01	5.0422E+00	1.4713E−01	2.9385E+00	1.5835E−01	2.5141E+00	1.7178E−01	2.1638E+00
34	1.1279E−01	5.1357E+00	1.3993E−01	2.9915E+00	1.5041E−01	2.5593E+00	1.6302E−01	2.2027E+00
35	1.0793E−01	5.2278E+00	1.3326E−01	3.0434E+00	1.4308E−01	2.6037E+00	1.5492E−01	2.2408E+00
36	1.0340E−01	5.3185E+00	1.2708E−01	3.0943E+00	1.3628E−01	2.6471E+00	1.4742E−01	2.2782E+00
37	9.9179E−02	5.4079E+00	1.2134E−01	3.1442E+00	1.2997E−01	2.6897E+00	1.4047E−01	2.3147E+00
38	9.5224E−02	5.4962E+00	1.1598E−01	3.1931E+00	1.2410E−01	2.7313E+00	1.3400E−01	2.3505E+00
39	9.1516E−02	5.5832E+00	1.1098E−01	3.2410E+00	1.1863E−01	2.7721E+00	1.2797E−01	2.3854E+00
40	8.8033E−02	5.6692E+00	1.0631E−01	3.2878E+00	1.1351E−01	2.8120E+00	1.2236E−01	2.4197E+00
41	8.4756E−02	5.7542E+00	1.0192E−01	3.3338E+00	1.0873E−01	2.8510E+00	1.1710E−01	2.4531E+00
42	8.1670E−02	5.8383E+00	9.7809E−02	3.3789E+00	1.0424E−01	2.8893E+00	1.1219E−01	2.4858E+00
43	7.8761E−02	5.9214E+00	9.3940E−02	3.4231E+00	1.0003E−01	2.9267E+00	1.0758E−01	2.5178E+00
44	7.6016E−02	6.0036E+00	9.0297E−02	3.4664E+00	9.6070E−02	2.9634E+00	1.0325E−01	2.5492E+00
45	7.3423E−02	6.0850E+00	8.6862E−02	3.5089E+00	9.2343E−02	2.9993E+00	9.9183E−02	2.5798E+00
46	7.0972E−02	6.1655E+00	8.3621E−02	3.5507E+00	8.8831E−02	3.0345E+00	9.5352E−02	2.6098E+00
47	6.8655E−02	6.2453E+00	8.0558E−02	3.5917E+00	8.5515E−02	3.0691E+00	9.1742E−02	2.6392E+00
48	6.6463E−02	6.3242E+00	7.7661E−02	3.6319E+00	8.2384E−02	3.1029E+00	8.8335E−02	2.6681E+00
49	6.4388E−02	6.4024E+00	7.4918E−02	3.6715E+00	7.9422E−02	3.1362E+00	8.5116E−02	2.6963E+00
50	6.2424E−02	6.4799E+00	7.2319E−02	3.7104E+00	7.6619E−02	3.1688E+00	8.2072E−02	2.7240E+00
51	6.0563E−02	6.5567E+00	6.9854E−02	3.7487E+00	7.3963E−02	3.2009E+00	7.9190E−02	2.7512E+00
52	5.8800E−02	6.6327E+00	6.7515E−02	3.7863E+00	7.1444E−02	3.2324E+00	7.6459E−02	2.7779E+00
53	5.7129E−02	6.7080E+00	6.5293E−02	3.8233E+00	6.9053E−02	3.2634E+00	7.3869E−02	2.8041E+00
54	5.5545E−02	6.7827E+00	6.3181E−02	3.8598E+00	6.6782E−02	3.2939E+00	7.1410E−02	2.8299E+00
55	5.4042E−02	6.8566E+00	6.1172E−02	3.8958E+00	6.4623E−02	3.3239E+00	6.9074E−02	2.8553E+00
56	5.2618E−02	6.9299E+00	5.9260E−02	3.9311E+00	6.2569E−02	3.3534E+00	6.6853E−02	2.8802E+00
57	5.1266E−02	7.0025E+00	5.7438E−02	3.9660E+00	6.0614E−02	3.3825E+00	6.4740E−02	2.9048E+00
58	4.9984E−02	7.0745E+00	5.5702E−02	4.0004E+00	5.8751E−02	3.4111E+00	6.2726E−02	2.9290E+00
59	4.8768E−02	7.1458E+00	5.4046E−02	4.0343E+00	5.6975E−02	3.4393E+00	6.0808E−02	2.9528E+00
60	4.7614E−02	7.2165E+00	5.2466E−02	4.0677E+00	5.5280E−02	3.4672E+00	5.8978E−02	2.9762E+00

I; [Z=53]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	9.0369E+00	3.7139E−01	1.0721E+01	2.4909E−01	1.1343E+01	2.1928E−01	1.2118E+01	1.9328E−01
1	7.9578E+00	4.1306E−01	9.5424E+00	2.7532E−01	1.0117E+01	2.4203E−01	1.0832E+01	2.1296E−01
2	5.8096E+00	5.3506E−01	7.1635E+00	3.5060E−01	7.6325E+00	3.0719E−01	8.2057E+00	2.6950E−01
3	3.9965E+00	7.2104E−01	5.0976E+00	4.6199E−01	5.4633E+00	4.0314E−01	5.9001E+00	3.5257E−01
4	2.8274E+00	9.3788E−01	3.7108E+00	5.8889E−01	3.9976E+00	5.1199E−01	4.3344E+00	4.4651E−01
5	2.1062E+00	1.1550E+00	2.8223E+00	7.1468E−01	3.0529E+00	6.1965E−01	3.3205E+00	5.3924E−01
6	1.6360E+00	1.3612E+00	2.2280E+00	8.3374E−01	2.4179E+00	7.2142E−01	2.6367E+00	6.2682E−01
7	1.3083E+00	1.5594E+00	1.8051E+00	9.4775E−01	1.9644E+00	8.1879E−01	2.1468E+00	7.1053E−01
8	1.0698E+00	1.7548E+00	1.4895E+00	1.0598E+00	1.6245E+00	9.1439E−01	1.7784E+00	7.9267E−01
9	8.9245E−01	1.9497E+00	1.2474E+00	1.1717E+00	1.3623E+00	1.0098E+00	1.4931E+00	8.7456E−01
10	7.5879E−01	2.1428E+00	1.0585E+00	1.2833E+00	1.1566E+00	1.1050E+00	1.2684E+00	9.5633E−01
11	6.5614E−01	2.3314E+00	9.0926E−01	1.3935E+00	9.9331E−01	1.1991E+00	1.0893E+00	1.0372E+00
12	5.7636E−01	2.5132E+00	7.9084E−01	1.5009E+00	8.6315E−01	1.2910E+00	9.4609E−01	1.1162E+00
13	5.1234E−01	2.6864E+00	6.9537E−01	1.6041E+00	7.5801E−01	1.3793E+00	8.3019E−01	1.1922E+00
14	4.5940E−01	2.8506E+00	6.1719E−01	1.7021E+00	6.7190E−01	1.4634E+00	7.3525E−01	1.2646E+00
15	4.1465E−01	3.0062E+00	5.5231E−01	1.7948E+00	6.0056E−01	1.5428E+00	6.5666E−01	1.3329E+00
16	3.7615E−01	3.1544E+00	4.9770E−01	1.8821E+00	5.4067E−01	1.6175E+00	5.9080E−01	1.3973E+00
17	3.4261E−01	3.2960E+00	4.5114E−01	1.9646E+00	4.8978E−01	1.6880E+00	5.3496E−01	1.4578E+00
18	3.1319E−01	3.4323E+00	4.1101E−01	2.0427E+00	4.4605E−01	1.7546E+00	4.8707E−01	1.5150E+00
19	2.8727E−01	3.5640E+00	3.7611E−01	2.1173E+00	4.0811E−01	1.8180E+00	4.4561E−01	1.5693E+00
20	2.6440E−01	3.6917E+00	3.4554E−01	2.1888E+00	3.7493E−01	1.8787E+00	4.0939E−01	1.6213E+00
21	2.4419E−01	3.8161E+00	3.1859E−01	2.2579E+00	3.4571E−01	1.9373E+00	3.7751E−01	1.6713E+00
22	2.2630E−01	3.9373E+00	2.9474E−01	2.3249E+00	3.1983E−01	1.9940E+00	3.4927E−01	1.7197E+00
23	2.1045E−01	4.0557E+00	2.7352E−01	2.3903E+00	2.9680E−01	2.0494E+00	3.2412E−01	1.7670E+00
24	1.9638E−01	4.1714E+00	2.5458E−01	2.4542E+00	2.7621E−01	2.1035E+00	3.0161E−01	1.8132E+00
25	1.8384E−01	4.2845E+00	2.3762E−01	2.5169E+00	2.5773E−01	2.1567E+00	2.8138E−01	1.8585E+00
26	1.7264E−01	4.3951E+00	2.2237E−01	2.5786E+00	2.4110E−01	2.2089E+00	2.6314E−01	1.9032E+00
27	1.6259E−01	4.5033E+00	2.0863E−01	2.6391E+00	2.2606E−01	2.2603E+00	2.4663E−01	1.9471E+00
28	1.5354E−01	4.6093E+00	1.9619E−01	2.6987E+00	2.1244E−01	2.3110E+00	2.3164E−01	1.9905E+00
29	1.4535E−01	4.7130E+00	1.8491E−01	2.7573E+00	2.0006E−01	2.3608E+00	2.1800E−01	2.0332E+00
30	1.3791E−01	4.8147E+00	1.7464E−01	2.8149E+00	1.8877E−01	2.4099E+00	2.0555E−01	2.0753E+00
31	1.3111E−01	4.9145E+00	1.6526E−01	2.8716E+00	1.7845E−01	2.4582E+00	1.9415E−01	2.1167E+00
32	1.2488E−01	5.0124E+00	1.5667E−01	2.9272E+00	1.6899E−01	2.5057E+00	1.8370E−01	2.1575E+00
33	1.1915E−01	5.1085E+00	1.4877E−01	2.9818E+00	1.6029E−01	2.5523E+00	1.7408E−01	2.1976E+00
34	1.1384E−01	5.2031E+00	1.4149E−01	3.0354E+00	1.5227E−01	2.5981E+00	1.6522E−01	2.2369E+00
35	1.0893E−01	5.2962E+00	1.3476E−01	3.0880E+00	1.4486E−01	2.6430E+00	1.5703E−01	2.2755E+00
36	1.0435E−01	5.3878E+00	1.2852E−01	3.1395E+00	1.3800E−01	2.6870E+00	1.4945E−01	2.3134E+00
37	1.0008E−01	5.4782E+00	1.2273E−01	3.1901E+00	1.3162E−01	2.7301E+00	1.4241E−01	2.3505E+00
38	9.6094E−02	5.5673E+00	1.1733E−01	3.2396E+00	1.2569E−01	2.7724E+00	1.3588E−01	2.3868E+00
39	9.2354E−02	5.6553E+00	1.1229E−01	3.2882E+00	1.2017E−01	2.8138E+00	1.2979E−01	2.4223E+00
40	8.8843E−02	5.7423E+00	1.0758E−01	3.3359E+00	1.1500E−01	2.8544E+00	1.2410E−01	2.4572E+00
41	8.5541E−02	5.8282E+00	1.0316E−01	3.3826E+00	1.1017E−01	2.8941E+00	1.1879E−01	2.4912E+00
42	8.2432E−02	5.9131E+00	9.9012E−02	3.4284E+00	1.0564E−01	2.9330E+00	1.1382E−01	2.5246E+00
43	7.9502E−02	5.9972E+00	9.5113E−02	3.4733E+00	1.0139E−01	2.9712E+00	1.0915E−01	2.5572E+00
44	7.6736E−02	6.0804E+00	9.1440E−02	3.5174E+00	9.7390E−02	3.0085E+00	1.0477E−01	2.5892E+00
45	7.4124E−02	6.1627E+00	8.7978E−02	3.5607E+00	9.3626E−02	3.0452E+00	1.0066E−01	2.6205E+00
46	7.1656E−02	6.2443E+00	8.4709E−02	3.6032E+00	9.0076E−02	3.0811E+00	9.6779E−02	2.6511E+00
47	6.9321E−02	6.3251E+00	8.1619E−02	3.6449E+00	8.6726E−02	3.1163E+00	9.3123E−02	2.6811E+00
48	6.7112E−02	6.4051E+00	7.8696E−02	3.6859E+00	8.3560E−02	3.1508E+00	8.9673E−02	2.7105E+00
49	6.5021E−02	6.4844E+00	7.5928E−02	3.7262E+00	8.0566E−02	3.1848E+00	8.6413E−02	2.7394E+00
50	6.3041E−02	6.5630E+00	7.3304E−02	3.7659E+00	7.7731E−02	3.2181E+00	8.3329E−02	2.7677E+00
51	6.1164E−02	6.6409E+00	7.0815E−02	3.8049E+00	7.5044E−02	3.2508E+00	8.0409E−02	2.7954E+00
52	5.9386E−02	6.7181E+00	6.8452E−02	3.8432E+00	7.2495E−02	3.2829E+00	7.7642E−02	2.8227E+00
53	5.7701E−02	6.7946E+00	6.6206E−02	3.8810E+00	7.0075E−02	3.3145E+00	7.5016E−02	2.8495E+00
54	5.6103E−02	6.8705E+00	6.4071E−02	3.9181E+00	6.7776E−02	3.3456E+00	7.2524E−02	2.8758E+00
55	5.4587E−02	6.9457E+00	6.2039E−02	3.9548E+00	6.5590E−02	3.3762E+00	7.0155E−02	2.9017E+00
56	5.3150E−02	7.0202E+00	6.0105E−02	3.9908E+00	6.3510E−02	3.4063E+00	6.7903E−02	2.9272E+00
57	5.1787E−02	7.0942E+00	5.8262E−02	4.0264E+00	6.1528E−02	3.4360E+00	6.5759E−02	2.9522E+00
58	5.0494E−02	7.1674E+00	5.6504E−02	4.0614E+00	5.9641E−02	3.4652E+00	6.3716E−02	2.9769E+00
59	4.9267E−02	7.2401E+00	5.4828E−02	4.0960E+00	5.7840E−02	3.4940E+00	6.1770E−02	3.0012E+00
60	4.8104E−02	7.3122E+00	5.3228E−02	4.1301E+00	5.6123E−02	3.5224E+00	5.9913E−02	3.0251E+00

Xe; [Z=54]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	8.8612E+00	3.8581E−01	1.0559E+01	2.5901E−01	1.1181E+01	2.2811E−01	1.1952E+01	2.0116E−01
1	7.8913E+00	4.2448E−01	9.4973E+00	2.8340E−01	1.0077E+01	2.4927E−01	1.0795E+01	2.1946E−01
2	5.8763E+00	5.3932E−01	7.2637E+00	3.5450E−01	7.7435E+00	3.1086E−01	8.3291E+00	2.7293E−01
3	4.0788E+00	7.2011E−01	5.2157E+00	4.6316E−01	5.5931E+00	4.0455E−01	6.0431E+00	3.5410E−01
4	2.8766E+00	9.3973E−01	3.7883E+00	5.9189E−01	4.0841E+00	5.1501E−01	4.4309E+00	4.4947E−01
5	2.1306E+00	1.1658E+00	2.8642E+00	7.2290E−01	3.1006E+00	6.2716E−01	3.3746E+00	5.4609E−01
6	1.6501E+00	1.3809E+00	2.2515E+00	8.4724E−01	2.4451E+00	7.3347E−01	2.6680E+00	6.3760E−01
7	1.3190E+00	1.5843E+00	1.8215E+00	9.6456E−01	1.9834E+00	8.3371E−01	2.1688E+00	7.2381E−01
8	1.0790E+00	1.7815E+00	1.5036E+00	1.0779E+00	1.6409E+00	9.3043E−01	1.7974E+00	8.0695E−01
9	9.0018E−01	1.9761E+00	1.2605E+00	1.1897E+00	1.3776E+00	1.0259E+00	1.5110E+00	8.8891E−01
10	7.6498E−01	2.1688E+00	1.0706E+00	1.3010E+00	1.1710E+00	1.1208E+00	1.2852E+00	9.7046E−01
11	6.6103E−01	2.3576E+00	9.2015E−01	1.4112E+00	1.0063E+00	1.2150E+00	1.1047E+00	1.0514E+00
12	5.8032E−01	2.5406E+00	8.0044E−01	1.5192E+00	8.7473E−01	1.3073E+00	9.5984E−01	1.1308E+00
13	5.1580E−01	2.7158E+00	7.0376E−01	1.6236E+00	7.6814E−01	1.3967E+00	8.4223E−01	1.2078E+00
14	4.6270E−01	2.8825E+00	6.2454E−01	1.7235E+00	6.8072E−01	1.4824E+00	7.4570E−01	1.2816E+00
15	4.1799E−01	3.0409E+00	5.5882E−01	1.8183E+00	6.0826E−01	1.5637E+00	6.6571E−01	1.3517E+00
16	3.7959E−01	3.1916E+00	5.0353E−01	1.9079E+00	5.4746E−01	1.6406E+00	5.9869E−01	1.4179E+00
17	3.4614E−01	3.3358E+00	4.5644E−01	1.9926E+00	4.9582E−01	1.7131E+00	5.4190E−01	1.4803E+00
18	3.1675E−01	3.4743E+00	4.1586E−01	2.0728E+00	4.5148E−01	1.7816E+00	4.9325E−01	1.5392E+00
19	2.9079E−01	3.6080E+00	3.8057E−01	2.1492E+00	4.1304E−01	1.8467E+00	4.5115E−01	1.5950E+00
20	2.6781E−01	3.7376E+00	3.4966E−01	2.2224E+00	3.7943E−01	1.9089E+00	4.1442E−01	1.6483E+00
21	2.4743E−01	3.8637E+00	3.2240E−01	2.2928E+00	3.4985E−01	1.9686E+00	3.8211E−01	1.6994E+00
22	2.2934E−01	3.9866E+00	2.9825E−01	2.3609E+00	3.2365E−01	2.0264E+00	3.5352E−01	1.7487E+00
23	2.1327E−01	4.1066E+00	2.7677E−01	2.4272E+00	3.0033E−01	2.0825E+00	3.2806E−01	1.7966E+00
24	1.9896E−01	4.2238E+00	2.5758E−01	2.4919E+00	2.7949E−01	2.1373E+00	3.0528E−01	1.8434E+00
25	1.8620E−01	4.3383E+00	2.4039E−01	2.5552E+00	2.6079E−01	2.1909E+00	2.8482E−01	1.8892E+00
26	1.7479E−01	4.4504E+00	2.2494E−01	2.6174E+00	2.4395E−01	2.2436E+00	2.6637E−01	1.9341E+00
27	1.6455E−01	4.5600E+00	2.1100E−01	2.6785E+00	2.2873E−01	2.2954E+00	2.4968E−01	1.9784E+00
28	1.5532E−01	4.6672E+00	1.9840E−01	2.7385E+00	2.1495E−01	2.3464E+00	2.3453E−01	2.0220E+00
29	1.4697E−01	4.7723E+00	1.8697E−01	2.7975E+00	2.0242E−01	2.3966E+00	2.2074E−01	2.0650E+00
30	1.3939E−01	4.8752E+00	1.7657E−01	2.8556E+00	1.9100E−01	2.4460E+00	2.0814E−01	2.1074E+00
31	1.3248E−01	4.9761E+00	1.6707E−01	2.9127E+00	1.8056E−01	2.4947E+00	1.9662E−01	2.1491E+00
32	1.2614E−01	5.0752E+00	1.5838E−01	2.9688E+00	1.7099E−01	2.5425E+00	1.8606E−01	2.1902E+00
33	1.2032E−01	5.1724E+00	1.5039E−01	3.0240E+00	1.6219E−01	2.5896E+00	1.7633E−01	2.2306E+00
34	1.1494E−01	5.2680E+00	1.4303E−01	3.0781E+00	1.5409E−01	2.6358E+00	1.6737E−01	2.2703E+00
35	1.0996E−01	5.3621E+00	1.3623E−01	3.1313E+00	1.4660E−01	2.6812E+00	1.5910E−01	2.3094E+00
36	1.0532E−01	5.4547E+00	1.2994E−01	3.1834E+00	1.3967E−01	2.7258E+00	1.5143E−01	2.3477E+00
37	1.0101E−01	5.5460E+00	1.2409E−01	3.2346E+00	1.3323E−01	2.7695E+00	1.4432E−01	2.3853E+00
38	9.6976E−02	5.6361E+00	1.1864E−01	3.2848E+00	1.2725E−01	2.8124E+00	1.3771E−01	2.4221E+00
39	9.3200E−02	5.7250E+00	1.1356E−01	3.3341E+00	1.2167E−01	2.8544E+00	1.3156E−01	2.4583E+00
40	8.9656E−02	5.8128E+00	1.0881E−01	3.3824E+00	1.1646E−01	2.8956E+00	1.2581E−01	2.4936E+00
41	8.6326E−02	5.8996E+00	1.0436E−01	3.4299E+00	1.1158E−01	2.9360E+00	1.2044E−01	2.5283E+00
42	8.3191E−02	5.9855E+00	1.0018E−01	3.4764E+00	1.0701E−01	2.9756E+00	1.1541E−01	2.5622E+00
43	8.0236E−02	6.0704E+00	9.6251E−02	3.5220E+00	1.0272E−01	3.0143E+00	1.1069E−01	2.5955E+00
44	7.7448E−02	6.1546E+00	9.2551E−02	3.5669E+00	9.8678E−02	3.0524E+00	1.0627E−01	2.6280E+00
45	7.4816E−02	6.2378E+00	8.9061E−02	3.6109E+00	9.4877E−02	3.0897E+00	1.0210E−01	2.6599E+00
46	7.2327E−02	6.3204E+00	8.5767E−02	3.6541E+00	9.1293E−02	3.1262E+00	9.8178E−02	2.6912E+00
47	6.9974E−02	6.4021E+00	8.2652E−02	3.6966E+00	8.7909E−02	3.1621E+00	9.4480E−02	2.7218E+00
48	6.7747E−02	6.4831E+00	7.9704E−02	3.7383E+00	8.4711E−02	3.1973E+00	9.0988E−02	2.7518E+00
49	6.5638E−02	6.5635E+00	7.6912E−02	3.7793E+00	8.1686E−02	3.2319E+00	8.7688E−02	2.7813E+00
50	6.3641E−02	6.6431E+00	7.4265E−02	3.8197E+00	7.8820E−02	3.2659E+00	8.4566E−02	2.8101E+00
51	6.1749E−02	6.7221E+00	7.1753E−02	3.8594E+00	7.6104E−02	3.2992E+00	8.1610E−02	2.8385E+00
52	5.9955E−02	6.8004E+00	6.9367E−02	3.8984E+00	7.3527E−02	3.3320E+00	7.8807E−02	2.8663E+00
53	5.8255E−02	6.8781E+00	6.7099E−02	3.9369E+00	7.1079E−02	3.3642E+00	7.6148E−02	2.8937E+00
54	5.6643E−02	6.9551E+00	6.4942E−02	3.9747E+00	6.8753E−02	3.3959E+00	7.3622E−02	2.9205E+00
55	5.5114E−02	7.0315E+00	6.2889E−02	4.0120E+00	6.6541E−02	3.4271E+00	7.1222E−02	2.9469E+00
56	5.3663E−02	7.1073E+00	6.0934E−02	4.0488E+00	6.4435E−02	3.4578E+00	6.8939E−02	2.9729E+00
57	5.2288E−02	7.1825E+00	5.9070E−02	4.0850E+00	6.2429E−02	3.4881E+00	6.6766E−02	2.9985E+00
58	5.0984E−02	7.2571E+00	5.7293E−02	4.1207E+00	6.0517E−02	3.5179E+00	6.4695E−02	3.0236E+00
59	4.9746E−02	7.3311E+00	5.5597E−02	4.1559E+00	5.8694E−02	3.5472E+00	6.2721E−02	3.0484E+00
60	4.8573E−02	7.4045E+00	5.3977E−02	4.1907E+00	5.6954E−02	3.5761E+00	6.0838E−02	3.0728E+00

Cs; [Z=55]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.4193E+01	2.7595E−01	1.6416E+01	1.8841E−01	1.7294E+01	1.6648E−01	1.8423E+01	1.4715E−01
1	9.7690E+00	3.8976E−01	1.1616E+01	2.6003E−01	1.2299E+01	2.2878E−01	1.3156E+01	2.0146E−01
2	6.0528E+00	5.8607E−01	7.4903E+00	3.7997E−01	7.9876E+00	3.3251E−01	8.5940E+00	2.9152E−01
3	4.1291E+00	7.8092E−01	5.2915E+00	4.9684E−01	5.6776E+00	4.3325E−01	6.1375E+00	3.7880E−01
4	2.9194E+00	9.9977E−01	3.8546E+00	6.2538E−01	4.1582E+00	5.4362E−01	4.5138E+00	4.7413E−01
5	2.1575E+00	1.2297E+00	2.9089E+00	7.5881E−01	3.1512E+00	6.5788E−01	3.4320E+00	5.7261E−01
6	1.6666E+00	1.4523E+00	2.2786E+00	8.8763E−01	2.4762E+00	7.6806E−01	2.7036E+00	6.6747E−01
7	1.3311E+00	1.6619E+00	1.8397E+00	1.0088E+00	2.0043E+00	8.7162E−01	2.1929E+00	7.5659E−01
8	1.0890E+00	1.8620E+00	1.5182E+00	1.1241E+00	1.6576E+00	9.7013E−01	1.8168E+00	8.4129E−01
9	9.0852E−01	2.0574E+00	1.2734E+00	1.2365E+00	1.3926E+00	1.0661E+00	1.5284E+00	9.2375E−01
10	7.7178E−01	2.2501E+00	1.0823E+00	1.3479E+00	1.1847E+00	1.1611E+00	1.3012E+00	1.0054E+00
11	6.6628E−01	2.4389E+00	9.3080E−01	1.4579E+00	1.0190E+00	1.2551E+00	1.1196E+00	1.0862E+00
12	5.8456E−01	2.6229E+00	8.0986E−01	1.5663E+00	8.8602E−01	1.3478E+00	9.7320E−01	1.1660E+00
13	5.1937E−01	2.7998E+00	7.1203E−01	1.6717E+00	7.7810E−01	1.4381E+00	8.5407E−01	1.2437E+00
14	4.6594E−01	2.9686E+00	6.3182E−01	1.7730E+00	6.8947E−01	1.5250E+00	7.5609E−01	1.3186E+00
15	4.2116E−01	3.1293E+00	5.6527E−01	1.8696E+00	6.1594E−01	1.6080E+00	6.7480E−01	1.3901E+00
16	3.8282E−01	3.2826E+00	5.0933E−01	1.9613E+00	5.5425E−01	1.6867E+00	6.0665E−01	1.4580E+00
17	3.4946E−01	3.4290E+00	4.6170E−01	2.0482E+00	5.0188E−01	1.7612E+00	5.4892E−01	1.5222E+00
18	3.2013E−01	3.5698E+00	4.2069E−01	2.1305E+00	4.5694E−01	1.8316E+00	4.9949E−01	1.5828E+00
19	2.9417E−01	3.7055E+00	3.8504E−01	2.2088E+00	4.1800E−01	1.8985E+00	4.5676E−01	1.6403E+00
20	2.7112E−01	3.8370E+00	3.5379E−01	2.2836E+00	3.8397E−01	1.9622E+00	4.1950E−01	1.6949E+00
21	2.5062E−01	3.9649E+00	3.2624E−01	2.3554E+00	3.5402E−01	2.0233E+00	3.8676E−01	1.7472E+00
22	2.3237E−01	4.0894E+00	3.0181E−01	2.4248E+00	3.2750E−01	2.0821E+00	3.5779E−01	1.7975E+00
23	2.1611E−01	4.2109E+00	2.8006E−01	2.4921E+00	3.0390E−01	2.1392E+00	3.3202E−01	1.8463E+00
24	2.0160E−01	4.3297E+00	2.6063E−01	2.5577E+00	2.8280E−01	2.1947E+00	3.0897E−01	1.8936E+00
25	1.8863E−01	4.4457E+00	2.4321E−01	2.6217E+00	2.6387E−01	2.2489E+00	2.8826E−01	1.9399E+00
26	1.7702E−01	4.5592E+00	2.2754E−01	2.6845E+00	2.4682E−01	2.3021E+00	2.6960E−01	1.9853E+00
27	1.6658E−01	4.6702E+00	2.1342E−01	2.7461E+00	2.3141E−01	2.3543E+00	2.5271E−01	2.0299E+00
28	1.5718E−01	4.7788E+00	2.0064E−01	2.8066E+00	2.1746E−01	2.4057E+00	2.3739E−01	2.0738E+00
29	1.4868E−01	4.8852E+00	1.8905E−01	2.8662E+00	2.0477E−01	2.4562E+00	2.2344E−01	2.1171E+00
30	1.4095E−01	4.9894E+00	1.7851E−01	2.9247E+00	1.9321E−01	2.5060E+00	2.1071E−01	2.1598E+00
31	1.3391E−01	5.0915E+00	1.6889E−01	2.9823E+00	1.8265E−01	2.5550E+00	1.9906E−01	2.2018E+00
32	1.2746E−01	5.1917E+00	1.6008E−01	3.0389E+00	1.7297E−01	2.6033E+00	1.8837E−01	2.2432E+00
33	1.2154E−01	5.2901E+00	1.5200E−01	3.0945E+00	1.6407E−01	2.6507E+00	1.7855E−01	2.2839E+00
34	1.1608E−01	5.3868E+00	1.4456E−01	3.1492E+00	1.5588E−01	2.6974E+00	1.6949E−01	2.3240E+00
35	1.1102E−01	5.4818E+00	1.3769E−01	3.2029E+00	1.4832E−01	2.7433E+00	1.6112E−01	2.3635E+00
36	1.0633E−01	5.5754E+00	1.3133E−01	3.2556E+00	1.4131E−01	2.7883E+00	1.5338E−01	2.4022E+00
37	1.0196E−01	5.6677E+00	1.2542E−01	3.3074E+00	1.3481E−01	2.8326E+00	1.4619E−01	2.4402E+00
38	9.7878E−02	5.7587E+00	1.1993E−01	3.3582E+00	1.2877E−01	2.8760E+00	1.3951E−01	2.4776E+00
39	9.4060E−02	5.8485E+00	1.1481E−01	3.4081E+00	1.2313E−01	2.9186E+00	1.3329E−01	2.5142E+00
40	9.0479E−02	5.9372E+00	1.1001E−01	3.4571E+00	1.1787E−01	2.9604E+00	1.2748E−01	2.5501E+00
41	8.7115E−02	6.0249E+00	1.0553E−01	3.5052E+00	1.1295E−01	3.0014E+00	1.2205E−01	2.5853E+00
42	8.3949E−02	6.1116E+00	1.0132E−01	3.5524E+00	1.0834E−01	3.0415E+00	1.1697E−01	2.6198E+00
43	8.0967E−02	6.1974E+00	9.7357E−02	3.5987E+00	1.0401E−01	3.0810E+00	1.1220E−01	2.6536E+00
44	7.8154E−02	6.2824E+00	9.3629E−02	3.6442E+00	9.9933E−02	3.1196E+00	1.0773E−01	2.6868E+00
45	7.5498E−02	6.3666E+00	9.0113E−02	3.6890E+00	9.6096E−02	3.1576E+00	1.0352E−01	2.7192E+00
46	7.2988E−02	6.4500E+00	8.6793E−02	3.7329E+00	9.2479E−02	3.1948E+00	9.9550E−02	2.7511E+00
47	7.0614E−02	6.5327E+00	8.3654E−02	3.7761E+00	8.9063E−02	3.2313E+00	9.5809E−02	2.7823E+00
48	6.8367E−02	6.6147E+00	8.0684E−02	3.8185E+00	8.5835E−02	3.2672E+00	9.2278E−02	2.8129E+00
49	6.6239E−02	6.6960E+00	7.7869E−02	3.8602E+00	8.2780E−02	3.3024E+00	8.8941E−02	2.8429E+00
50	6.4224E−02	6.7766E+00	7.5200E−02	3.9013E+00	7.9886E−02	3.3370E+00	8.5782E−02	2.8724E+00
51	6.2315E−02	6.8566E+00	7.2666E−02	3.9416E+00	7.7141E−02	3.3710E+00	8.2790E−02	2.9013E+00
52	6.0505E−02	6.9360E+00	7.0258E−02	3.9814E+00	7.4537E−02	3.4044E+00	7.9953E−02	2.9297E+00
53	5.8789E−02	7.0148E+00	6.7970E−02	4.0205E+00	7.2063E−02	3.4372E+00	7.7261E−02	2.9576E+00
54	5.7162E−02	7.0929E+00	6.5792E−02	4.0591E+00	6.9711E−02	3.4695E+00	7.4704E−02	2.9850E+00
55	5.5618E−02	7.1705E+00	6.3719E−02	4.0971E+00	6.7474E−02	3.5013E+00	7.2274E−02	3.0119E+00
56	5.4155E−02	7.2475E+00	6.1744E−02	4.1345E+00	6.5344E−02	3.5326E+00	6.9962E−02	3.0384E+00
57	5.2767E−02	7.3239E+00	5.9861E−02	4.1714E+00	6.3314E−02	3.5634E+00	6.7759E−02	3.0645E+00
58	5.1450E−02	7.3997E+00	5.8064E−02	4.2077E+00	6.1380E−02	3.5938E+00	6.5662E−02	3.0902E+00
59	5.0202E−02	7.4749E+00	5.6350E−02	4.2436E+00	5.9534E−02	3.6237E+00	6.3661E−02	3.1154E+00
60	4.9019E−02	7.5496E+00	5.4712E−02	4.2790E+00	5.7771E−02	3.6532E+00	6.1751E−02	3.1403E+00

Ba; [Z=56]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.5858E+01	2.7398E−01	1.8280E+01	1.8580E−01	1.9247E+01	1.6404E−01	2.0496E+01	1.4490E−01
1	1.1064E+01	3.7833E−01	1.3088E+01	2.5185E−01	1.3845E+01	2.2156E−01	1.4802E+01	1.9511E−01
2	6.3513E+00	6.0578E−01	7.8595E+00	3.9070E−01	8.3821E+00	3.4167E−01	9.0196E+00	2.9944E−01
3	4.1858E+00	8.2674E−01	5.3728E+00	5.2269E−01	5.7677E+00	4.5539E−01	6.2377E+00	3.9794E−01
4	2.9561E+00	1.0484E+00	3.9108E+00	6.5308E−01	4.2213E+00	5.6739E−01	4.5847E+00	4.9472E−01
5	2.1843E+00	1.2793E+00	2.9529E+00	7.8723E−01	3.2012E+00	6.8232E−01	3.4886E+00	5.9382E−01
6	1.6841E+00	1.5068E+00	2.3084E+00	9.1908E−01	2.5104E+00	7.9513E−01	2.7428E+00	6.9097E−01
7	1.3437E+00	1.7226E+00	1.8597E+00	1.0441E+00	2.0274E+00	9.0205E−01	2.2195E+00	7.8301E−01
8	1.0994E+00	1.9272E+00	1.5331E+00	1.1624E+00	1.6748E+00	1.0032E+00	1.8366E+00	8.7000E−01
9	9.1745E−01	2.1246E+00	1.2860E+00	1.2764E+00	1.4071E+00	1.1005E+00	1.5451E+00	9.5366E−01
10	7.7912E−01	2.3179E+00	1.0937E+00	1.3881E+00	1.1978E+00	1.1959E+00	1.3165E+00	1.0357E+00
11	6.7215E−01	2.5071E+00	9.4098E−01	1.4982E+00	1.0309E+00	1.2899E+00	1.1335E+00	1.1165E+00
12	5.8911E−01	2.6915E+00	8.1899E−01	1.6066E+00	8.9688E−01	1.3827E+00	9.8601E−01	1.1963E+00
13	5.2303E−01	2.8695E+00	7.2013E−01	1.7124E+00	7.8783E−01	1.4733E+00	8.6562E−01	1.2744E+00
14	4.6913E−01	3.0401E+00	6.3898E−01	1.8148E+00	6.9808E−01	1.5612E+00	7.6634E−01	1.3501E+00
15	4.2417E−01	3.2030E+00	5.7163E−01	1.9130E+00	6.2356E−01	1.6456E+00	6.8383E−01	1.4229E+00
16	3.8583E−01	3.3585E+00	5.1505E−01	2.0066E+00	5.6101E−01	1.7260E+00	6.1462E−01	1.4923E+00
17	3.5254E−01	3.5072E+00	4.6691E−01	2.0955E+00	5.0793E−01	1.8023E+00	5.5597E−01	1.5582E+00
18	3.2329E−01	3.6501E+00	4.2548E−01	2.1798E+00	4.6240E−01	1.8746E+00	5.0578E−01	1.6205E+00
19	2.9737E−01	3.7878E+00	3.8947E−01	2.2600E+00	4.2297E−01	1.9432E+00	4.6242E−01	1.6795E+00
20	2.7430E−01	3.9212E+00	3.5792E−01	2.3365E+00	3.8853E−01	2.0086E+00	4.2463E−01	1.7357E+00
21	2.5373E−01	4.0508E+00	3.3008E−01	2.4099E+00	3.5822E−01	2.0710E+00	3.9144E−01	1.7892E+00
22	2.3536E−01	4.1770E+00	3.0538E−01	2.4806E+00	3.3138E−01	2.1311E+00	3.6209E−01	1.8407E+00
23	2.1894E−01	4.3001E+00	2.8339E−01	2.5490E+00	3.0749E−01	2.1892E+00	3.3599E−01	1.8903E+00
24	2.0426E−01	4.4203E+00	2.6372E−01	2.6156E+00	2.8614E−01	2.2455E+00	3.1266E−01	1.9384E+00
25	1.9110E−01	4.5379E+00	2.4607E−01	2.6804E+00	2.6697E−01	2.3005E+00	2.9171E−01	1.9853E+00
26	1.7930E−01	4.6528E+00	2.3020E−01	2.7439E+00	2.4971E−01	2.3542E+00	2.7282E−01	2.0312E+00
27	1.6869E−01	4.7653E+00	2.1587E−01	2.8061E+00	2.3411E−01	2.4069E+00	2.5574E−01	2.0762E+00
28	1.5912E−01	4.8753E+00	2.0292E−01	2.8672E+00	2.1997E−01	2.4587E+00	2.4024E−01	2.1205E+00
29	1.5045E−01	4.9830E+00	1.9117E−01	2.9272E+00	2.0713E−01	2.5097E+00	2.2613E−01	2.1640E+00
30	1.4258E−01	5.0885E+00	1.8048E−01	2.9862E+00	1.9543E−01	2.5598E+00	2.1325E−01	2.2069E+00
31	1.3541E−01	5.1919E+00	1.7072E−01	3.0443E+00	1.8474E−01	2.6092E+00	2.0147E−01	2.2492E+00
32	1.2885E−01	5.2933E+00	1.6180E−01	3.1014E+00	1.7494E−01	2.6578E+00	1.9067E−01	2.2909E+00
33	1.2283E−01	5.3928E+00	1.5362E−01	3.1575E+00	1.6594E−01	2.7056E+00	1.8073E−01	2.3320E+00
34	1.1727E−01	5.4906E+00	1.4609E−01	3.2127E+00	1.5766E−01	2.7527E+00	1.7157E−01	2.3724E+00
35	1.1214E−01	5.5868E+00	1.3914E−01	3.2669E+00	1.5001E−01	2.7990E+00	1.6312E−01	2.4122E+00
36	1.0738E−01	5.6814E+00	1.3271E−01	3.3202E+00	1.4293E−01	2.8445E+00	1.5529E−01	2.4513E+00
37	1.0294E−01	5.7746E+00	1.2674E−01	3.3725E+00	1.3636E−01	2.8893E+00	1.4802E−01	2.4898E+00
38	9.8810E−02	5.8665E+00	1.2120E−01	3.4239E+00	1.3026E−01	2.9332E+00	1.4127E−01	2.5276E+00
39	9.4944E−02	5.9572E+00	1.1602E−01	3.4744E+00	1.2457E−01	2.9763E+00	1.3498E−01	2.5647E+00
40	9.1321E−02	6.0468E+00	1.1119E−01	3.5240E+00	1.1926E−01	3.0187E+00	1.2912E−01	2.6011E+00
41	8.7919E−02	6.1354E+00	1.0667E−01	3.5728E+00	1.1429E−01	3.0602E+00	1.2363E−01	2.6368E+00
42	8.4720E−02	6.2230E+00	1.0243E−01	3.6206E+00	1.0964E−01	3.1010E+00	1.1850E−01	2.6718E+00
43	8.1706E−02	6.3096E+00	9.8435E−02	3.6676E+00	1.0527E−01	3.1410E+00	1.1368E−01	2.7062E+00
44	7.8865E−02	6.3955E+00	9.4678E−02	3.7138E+00	1.0116E−01	3.1803E+00	1.0916E−01	2.7399E+00
45	7.6182E−02	6.4805E+00	9.1136E−02	3.7592E+00	9.7286E−02	3.2188E+00	1.0490E−01	2.7729E+00
46	7.3648E−02	6.5648E+00	8.7792E−02	3.8038E+00	9.3637E−02	3.2567E+00	1.0089E−01	2.8053E+00
47	7.1251E−02	6.6484E+00	8.4630E−02	3.8476E+00	9.0190E−02	3.2938E+00	9.7114E−02	2.8371E+00
48	6.8982E−02	6.7312E+00	8.1637E−02	3.8907E+00	8.6932E−02	3.3303E+00	9.3544E−02	2.8683E+00
49	6.6834E−02	6.8135E+00	7.8801E−02	3.9331E+00	8.3849E−02	3.3661E+00	9.0170E−02	2.8989E+00
50	6.4800E−02	6.8951E+00	7.6110E−02	3.9748E+00	8.0927E−02	3.4014E+00	8.6976E−02	2.9289E+00
51	6.2872E−02	6.9760E+00	7.3556E−02	4.0159E+00	7.8156E−02	3.4360E+00	8.3950E−02	2.9584E+00
52	6.1044E−02	7.0564E+00	7.1128E−02	4.0563E+00	7.5526E−02	3.4700E+00	8.1081E−02	2.9873E+00
53	5.9311E−02	7.1362E+00	6.8820E−02	4.0961E+00	7.3027E−02	3.5034E+00	7.8357E−02	3.0157E+00
54	5.7668E−02	7.2154E+00	6.6623E−02	4.1354E+00	7.0651E−02	3.5363E+00	7.5770E−02	3.0437E+00
55	5.6109E−02	7.2941E+00	6.4531E−02	4.1740E+00	6.8390E−02	3.5687E+00	7.3310E−02	3.0712E+00
56	5.4631E−02	7.3722E+00	6.2537E−02	4.2121E+00	6.6237E−02	3.6006E+00	7.0969E−02	3.0982E+00
57	5.3230E−02	7.4498E+00	6.0635E−02	4.2496E+00	6.4185E−02	3.6320E+00	6.8740E−02	3.1248E+00
58	5.1901E−02	7.5268E+00	5.8821E−02	4.2866E+00	6.2228E−02	3.6629E+00	6.6615E−02	3.1509E+00
59	5.0641E−02	7.6033E+00	5.7089E−02	4.3231E+00	6.0361E−02	3.6934E+00	6.4589E−02	3.1767E+00
60	4.9446E−02	7.6792E+00	5.5433E−02	4.3591E+00	5.8577E−02	3.7234E+00	6.2655E−02	3.2021E+00

La; [Z=57]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.5321E+01	2.9216E−01	1.7751E+01	1.9782E−01	1.8708E+01	1.7466E−01	1.9937E+01	1.5431E−01
1	1.1194E+01	3.8584E−01	1.3274E+01	2.5709E−01	1.4049E+01	2.2628E−01	1.5026E+01	1.9938E−01
2	6.5722E+00	6.0440E−01	8.1428E+00	3.9079E−01	8.6868E+00	3.4202E−01	9.3500E+00	2.9995E−01
3	4.2776E+00	8.3544E−01	5.5016E+00	5.2875E−01	5.9089E+00	4.6091E−01	6.3933E+00	4.0296E−01
4	3.0013E+00	1.0653E+00	3.9788E+00	6.6396E−01	4.2974E+00	5.7709E−01	4.6699E+00	5.0339E−01
5	2.2117E+00	1.3012E+00	2.9961E+00	8.0123E−01	3.2503E+00	6.9474E−01	3.5443E+00	6.0486E−01
6	1.7023E+00	1.5342E+00	2.3368E+00	9.3642E−01	2.5431E+00	8.1045E−01	2.7803E+00	7.0456E−01
7	1.3573E+00	1.7554E+00	1.8791E+00	1.0650E+00	2.0499E+00	9.2042E−01	2.2455E+00	7.9926E−01
8	1.1107E+00	1.9639E+00	1.5478E+00	1.1861E+00	1.6918E+00	1.0240E+00	1.8563E+00	8.8841E−01
9	9.2702E−01	2.1634E+00	1.2982E+00	1.3017E+00	1.4212E+00	1.1228E+00	1.5616E+00	9.7338E−01
10	7.8706E−01	2.3572E+00	1.1045E+00	1.4139E+00	1.2105E+00	1.2187E+00	1.3313E+00	1.0559E+00
11	6.7891E−01	2.5466E+00	9.5105E−01	1.5242E+00	1.0428E+00	1.3130E+00	1.1475E+00	1.1369E+00
12	5.9430E−01	2.7314E+00	8.2784E−01	1.6328E+00	9.0753E−01	1.4059E+00	9.9868E−01	1.2168E+00
13	5.2700E−01	2.9103E+00	7.2781E−01	1.7392E+00	7.9721E−01	1.4970E+00	8.7690E−01	1.2953E+00
14	4.7236E−01	3.0823E+00	6.4573E−01	1.8425E+00	7.0641E−01	1.5857E+00	7.7640E−01	1.3718E+00
15	4.2697E−01	3.2470E+00	5.7760E−01	1.9421E+00	6.3095E−01	1.6712E+00	6.9276E−01	1.4456E+00
16	3.8842E−01	3.4045E+00	5.2039E−01	2.0374E+00	5.6758E−01	1.7532E+00	6.2253E−01	1.5164E+00
17	3.5508E−01	3.5553E+00	4.7176E−01	2.1282E+00	5.1382E−01	1.8313E+00	5.6300E−01	1.5838E+00
18	3.2581E−01	3.7002E+00	4.2995E−01	2.2146E+00	4.6774E−01	1.9055E+00	5.1207E−01	1.6478E+00
19	2.9986E−01	3.8400E+00	3.9362E−01	2.2968E+00	4.2784E−01	1.9759E+00	4.6809E−01	1.7085E+00
20	2.7673E−01	3.9753E+00	3.6178E−01	2.3752E+00	3.9300E−01	2.0429E+00	4.2978E−01	1.7662E+00
21	2.5606E−01	4.1068E+00	3.3369E−01	2.4502E+00	3.6234E−01	2.1070E+00	3.9615E−01	1.8211E+00
22	2.3756E−01	4.2349E+00	3.0876E−01	2.5225E+00	3.3520E−01	2.1684E+00	3.6643E−01	1.8737E+00
23	2.2099E−01	4.3599E+00	2.8655E−01	2.5923E+00	3.1105E−01	2.2276E+00	3.4002E−01	1.9244E+00
24	2.0615E−01	4.4820E+00	2.6668E−01	2.6600E+00	2.8947E−01	2.2851E+00	3.1641E−01	1.9735E+00
25	1.9282E−01	4.6015E+00	2.4885E−01	2.7259E+00	2.7009E−01	2.3409E+00	2.9522E−01	2.0212E+00
26	1.8086E−01	4.7184E+00	2.3279E−01	2.7903E+00	2.5262E−01	2.3954E+00	2.7612E−01	2.0677E+00
27	1.7009E−01	4.8329E+00	2.1828E−01	2.8533E+00	2.3684E−01	2.4487E+00	2.5884E−01	2.1131E+00
28	1.6037E−01	4.9449E+00	2.0516E−01	2.9151E+00	2.2254E−01	2.5010E+00	2.4316E−01	2.1578E+00
29	1.5159E−01	5.0546E+00	1.9327E−01	2.9758E+00	2.0955E−01	2.5525E+00	2.2889E−01	2.2018E+00
30	1.4362E−01	5.1621E+00	1.8246E−01	3.0355E+00	1.9772E−01	2.6031E+00	2.1588E−01	2.2451E+00
31	1.3636E−01	5.2674E+00	1.7260E−01	3.0941E+00	1.8691E−01	2.6529E+00	2.0398E−01	2.2877E+00
32	1.2973E−01	5.3707E+00	1.6357E−01	3.1518E+00	1.7701E−01	2.7020E+00	1.9306E−01	2.3297E+00
33	1.2366E−01	5.4721E+00	1.5530E−01	3.2085E+00	1.6791E−01	2.7503E+00	1.8302E−01	2.3711E+00
34	1.1808E−01	5.5717E+00	1.4769E−01	3.2643E+00	1.5954E−01	2.7978E+00	1.7376E−01	2.4119E+00
35	1.1292E−01	5.6695E+00	1.4067E−01	3.3191E+00	1.5182E−01	2.8445E+00	1.6522E−01	2.4520E+00
36	1.0815E−01	5.7657E+00	1.3419E−01	3.3730E+00	1.4468E−01	2.8905E+00	1.5732E−01	2.4915E+00
37	1.0371E−01	5.8604E+00	1.2819E−01	3.4259E+00	1.3806E−01	2.9357E+00	1.4999E−01	2.5304E+00
38	9.9585E−02	5.9538E+00	1.2261E−01	3.4780E+00	1.3191E−01	2.9802E+00	1.4317E−01	2.5686E+00
39	9.5737E−02	6.0459E+00	1.1740E−01	3.5291E+00	1.2617E−01	3.0238E+00	1.3682E−01	2.6062E+00
40	9.2139E−02	6.1368E+00	1.1254E−01	3.5794E+00	1.2082E−01	3.0667E+00	1.3090E−01	2.6430E+00
41	8.8765E−02	6.2265E+00	1.0799E−01	3.6287E+00	1.1581E−01	3.1088E+00	1.2537E−01	2.6792E+00
42	8.5593E−02	3.2019E−02	1.0373E−01	3.6772E+00	1.1112E−01	3.1502E+00	1.2018E−01	2.7148E+00
43	8.2607E−02	1.1973E−01	9.9723E−02	3.7248E+00	1.0673E−01	3.1907E+00	1.1533E−01	2.7497E+00
44	7.9795E−02	2.0651E−01	9.5953E−02	3.7716E+00	1.0259E−01	3.2306E+00	1.1077E−01	2.7839E+00
45	7.7145E−02	2.9241E−01	9.2398E−02	3.8176E+00	9.8693E−02	3.2697E+00	1.0647E−01	2.8174E+00
46	7.4643E−02	3.7747E−01	8.9039E−02	3.8629E+00	9.5016E−02	3.3081E+00	1.0243E−01	2.8503E+00
47	7.2278E−02	4.6173E−01	8.5864E−02	3.9073E+00	9.1544E−02	3.3458E+00	9.8608E−02	2.8826E+00
48	7.0037E−02	5.4525E−01	8.2860E−02	3.9511E+00	8.8264E−02	3.3829E+00	9.5005E−02	2.9143E+00
49	6.7912E−02	6.2806E−01	8.0015E−02	3.9940E+00	8.5162E−02	3.4193E+00	9.1601E−02	2.9454E+00
50	6.5899E−02	7.1017E−01	7.7315E−02	4.0363E+00	8.2221E−02	3.4550E+00	8.8379E−02	2.9760E+00
51	6.3991E−02	7.9159E−01	7.4749E−02	4.0780E+00	7.9430E−02	3.4901E+00	8.5324E−02	3.0059E+00
52	6.2180E−02	8.7234E−01	7.2310E−02	4.1189E+00	7.6778E−02	3.5247E+00	8.2424E−02	3.0354E+00
53	6.0461E−02	9.5245E−01	6.9989E−02	4.1593E+00	7.4258E−02	3.5587E+00	7.9671E−02	3.0643E+00
54	5.8828E−02	1.0319E+00	6.7780E−02	4.1991E+00	7.1861E−02	3.5921E+00	7.7055E−02	3.0927E+00
55	5.7274E−02	1.1109E+00	6.5677E−02	4.2382E+00	6.9582E−02	3.6250E+00	7.4570E−02	3.1207E+00
56	5.5797E−02	1.1892E+00	6.3671E−02	4.2768E+00	6.7412E−02	3.6573E+00	7.2207E−02	3.1481E+00
57	5.4393E−02	1.2670E+00	6.1757E−02	4.3148E+00	6.5342E−02	3.6892E+00	6.9953E−02	3.1751E+00
58	5.3059E−02	1.3441E+00	5.9929E−02	4.3522E+00	6.3365E−02	3.7205E+00	6.7803E−02	3.2017E+00
59	5.1789E−02	1.4207E+00	5.8183E−02	4.3892E+00	6.1478E−02	3.7515E+00	6.5751E−02	3.2279E+00
60	5.0582E−02	1.4968E+00	5.6514E−02	4.4257E+00	5.9676E−02	3.7819E+00	6.3794E−02	3.2537E+00

Ce; [Z=58]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.4874E+01	2.9574E−01	1.7273E+01	2.0146E−01	1.8215E+01	1.7813E−01	1.9420E+01	1.5758E−01
1	1.0952E+01	3.8819E−01	1.3017E+01	2.6018E−01	1.3785E+01	2.2932E−01	1.4750E+01	2.0229E−01
2	6.4941E+00	6.0425E−01	8.0664E+00	3.9278E−01	8.6108E+00	3.4419E−01	9.2733E+00	3.0218E−01
3	4.2539E+00	8.3296E−01	5.4869E+00	5.2972E−01	5.8972E+00	4.6227E−01	6.3846E+00	4.0455E−01
4	2.9989E+00	1.0601E+00	3.9892E+00	6.6363E−01	4.3121E+00	5.7740E−01	4.6891E+00	5.0412E−01
5	2.2156E+00	1.2941E+00	3.0143E+00	7.9999E−01	3.2730E+00	6.9433E−01	3.5719E+00	6.0502E−01
6	1.7069E+00	1.5271E+00	2.3549E+00	9.3532E−01	2.5654E+00	8.1020E−01	2.8071E+00	7.0490E−01
7	1.3618E+00	1.7499E+00	1.8949E+00	1.0649E+00	2.0692E+00	9.2114E−01	2.2688E+00	8.0045E−01
8	1.1152E+00	1.9606E+00	1.5613E+00	1.1875E+00	1.7083E+00	1.0260E+00	1.8761E+00	8.9073E−01
9	9.3151E−01	2.1618E+00	1.3101E+00	1.3044E+00	1.4357E+00	1.1259E+00	1.5788E+00	9.7674E−01
10	7.9124E−01	2.3569E+00	1.1151E+00	1.4176E+00	1.2233E+00	1.2227E+00	1.3467E+00	1.0600E+00
11	6.8260E−01	2.5474E+00	9.6054E−01	1.5287E+00	1.0543E+00	1.3177E+00	1.1613E+00	1.1417E+00
12	5.9746E−01	2.7333E+00	8.3631E−01	1.6380E+00	9.1786E−01	1.4112E+00	1.0111E+00	1.2222E+00
13	5.2973E−01	2.9137E+00	7.3536E−01	1.7452E+00	8.0645E−01	1.5030E+00	8.8800E−01	1.3013E+00
14	4.7483E−01	3.0874E+00	6.5245E−01	1.8496E+00	7.1464E−01	1.5927E+00	7.8631E−01	1.3786E+00
15	4.2933E−01	3.2540E+00	5.8363E−01	1.9505E+00	6.3828E−01	1.6794E+00	7.0158E−01	1.4535E+00
16	3.9080E−01	3.4136E+00	5.2584E−01	2.0473E+00	5.7415E−01	1.7628E+00	6.3038E−01	1.5255E+00
17	3.5754E−01	3.5664E+00	4.7674E−01	2.1399E+00	5.1975E−01	1.8424E+00	5.7002E−01	1.5943E+00
18	3.2837E−01	3.7133E+00	4.3454E−01	2.2280E+00	4.7312E−01	1.9183E+00	5.1837E−01	1.6599E+00
19	3.0251E−01	3.8549E+00	3.9790E−01	2.3120E+00	4.3276E−01	1.9904E+00	4.7379E−01	1.7220E+00
20	2.7943E−01	3.9920E+00	3.6579E−01	2.3921E+00	3.9753E−01	2.0590E+00	4.3497E−01	1.7811E+00
21	2.5876E−01	4.1252E+00	3.3744E−01	2.4687E+00	3.6653E−01	2.1244E+00	4.0090E−01	1.8374E+00
22	2.4022E−01	4.2549E+00	3.1228E−01	2.5424E+00	3.3909E−01	2.1872E+00	3.7080E−01	1.8913E+00
23	2.2358E−01	4.3815E+00	2.8985E−01	2.6135E+00	3.1467E−01	2.2477E+00	3.4406E−01	1.9431E+00
24	2.0863E−01	4.5051E+00	2.6977E−01	2.6823E+00	2.9283E−01	2.3061E+00	3.2016E−01	1.9930E+00
25	1.9518E−01	4.6260E+00	2.5173E−01	2.7493E+00	2.7322E−01	2.3629E+00	2.9871E−01	2.0415E+00
26	1.8308E−01	4.7444E+00	2.3548E−01	2.8146E+00	2.5555E−01	2.4181E+00	2.7938E−01	2.0887E+00
27	1.7217E−01	4.8604E+00	2.2079E−01	2.8784E+00	2.3958E−01	2.4722E+00	2.6189E−01	2.1348E+00
28	1.6232E−01	4.9739E+00	2.0750E−01	2.9409E+00	2.2510E−01	2.5251E+00	2.4602E−01	2.1800E+00
29	1.5339E−01	5.0850E+00	1.9544E−01	3.0023E+00	2.1194E−01	2.5771E+00	2.3159E−01	2.2243E+00
30	1.4529E−01	5.1939E+00	1.8447E−01	3.0626E+00	1.9996E−01	2.6282E+00	2.1842E−01	2.2680E+00
31	1.3791E−01	5.3006E+00	1.7448E−01	3.1218E+00	1.8902E−01	2.6785E+00	2.0638E−01	2.3110E+00
32	1.3117E−01	5.4052E+00	1.6533E−01	3.1800E+00	1.7899E−01	2.7279E+00	1.9533E−01	2.3534E+00
33	1.2500E−01	5.5079E+00	1.5694E−01	3.2373E+00	1.6978E−01	2.7766E+00	1.8518E−01	2.3951E+00
34	1.1932E−01	5.6088E+00	1.4923E−01	3.2936E+00	1.6131E−01	2.8246E+00	1.7581E−01	2.4362E+00
35	1.1408E−01	5.7079E+00	1.4213E−01	3.3489E+00	1.5349E−01	2.8718E+00	1.6717E−01	2.4767E+00
36	1.0923E−01	5.8053E+00	1.3557E−01	3.4034E+00	1.4627E−01	2.9182E+00	1.5918E−01	2.5166E+00
37	1.0473E−01	5.9012E+00	1.2950E−01	3.4569E+00	1.3958E−01	2.9639E+00	1.5177E−01	2.5559E+00
38	1.0054E−01	5.9956E+00	1.2385E−01	3.5095E+00	1.3336E−01	3.0088E+00	1.4489E−01	2.5945E+00
39	9.6640E−02	6.0887E+00	1.1859E−01	3.5612E+00	1.2757E−01	3.0530E+00	1.3847E−01	2.6325E+00
40	9.2993E−02	6.1807E+00	1.1368E−01	3.6121E+00	1.2216E−01	3.0963E+00	1.3249E−01	2.6698E+00
41	8.9575E−02	6.2714E+00	1.0909E−01	3.6620E+00	1.1710E−01	3.1390E+00	1.2689E−01	2.7064E+00
42	8.6364E−02	7.7888E−02	1.0479E−01	3.7111E+00	1.1237E−01	3.1809E+00	1.2166E−01	2.7425E+00
43	8.3343E−02	1.6656E−01	1.0076E−01	3.7594E+00	1.0794E−01	3.2220E+00	1.1675E−01	2.7778E+00
44	8.0499E−02	2.5429E−01	9.6957E−02	3.8068E+00	1.0376E−01	3.2624E+00	1.1215E−01	2.8126E+00
45	7.7819E−02	3.4114E−01	9.3374E−02	3.8535E+00	9.9834E−02	3.3021E+00	1.0781E−01	2.8466E+00
46	7.5291E−02	4.2713E−01	8.9991E−02	3.8993E+00	9.6126E−02	3.3411E+00	1.0372E−01	2.8801E+00
47	7.2901E−02	5.1234E−01	8.6793E−02	3.9445E+00	9.2624E−02	3.3794E+00	9.9866E−02	2.9129E+00
48	7.0638E−02	5.9680E−01	8.3767E−02	3.9889E+00	8.9316E−02	3.4171E+00	9.6227E−02	2.9451E+00
49	6.8493E−02	6.8057E−01	8.0901E−02	4.0325E+00	8.6187E−02	3.4541E+00	9.2789E−02	2.9768E+00
50	6.6460E−02	7.6366E−01	7.8181E−02	4.0754E+00	8.3221E−02	3.4904E+00	8.9534E−02	3.0079E+00
51	6.4534E−02	8.4607E−01	7.5598E−02	4.1177E+00	8.0405E−02	3.5261E+00	8.6447E−02	3.0384E+00
52	6.2706E−02	9.2783E−01	7.3141E−02	4.1594E+00	7.7730E−02	3.5613E+00	8.3517E−02	3.0684E+00
53	6.0972E−02	1.0090E+00	7.0803E−02	4.2004E+00	7.5187E−02	3.5958E+00	8.0735E−02	3.0978E+00
54	5.9324E−02	1.0895E+00	6.8577E−02	4.2408E+00	7.2769E−02	3.6299E+00	7.8091E−02	3.1267E+00
55	5.7756E−02	1.1695E+00	6.6456E−02	4.2806E+00	7.0468E−02	3.6633E+00	7.5580E−02	3.1552E+00
56	5.6267E−02	1.2490E+00	6.4435E−02	4.3198E+00	6.8277E−02	3.6962E+00	7.3189E−02	3.1832E+00
57	5.4851E−02	1.3278E+00	6.2505E−02	4.3584E+00	6.6187E−02	3.7287E+00	7.0910E−02	3.2107E+00
58	5.3505E−02	1.4062E+00	6.0661E−02	4.3966E+00	6.4190E−02	3.7606E+00	6.8736E−02	3.2378E+00
59	5.2226E−02	1.4840E+00	5.8900E−02	4.4342E+00	6.2284E−02	3.7921E+00	6.6661E−02	3.2645E+00
60	5.1009E−02	1.5612E+00	5.7216E−02	4.4713E+00	6.0464E−02	3.8231E+00	6.4681E−02	3.2908E+00

Pr; [Z=59]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.4512E+01	2.8608E−01	1.6848E+01	1.9741E−01	1.7769E+01	1.7504E−01	1.8948E+01	1.5520E−01
1	1.0419E+01	3.8583E−01	1.2410E+01	2.6125E−01	1.3151E+01	2.3077E−01	1.4080E+01	2.0395E−01
2	6.1589E+00	6.0624E−01	7.6787E+00	3.9703E−01	8.2049E+00	3.4850E−01	8.8434E+00	3.0641E−01
3	4.1269E+00	8.2224E−01	5.3415E+00	5.2700E−01	5.7461E+00	4.6069E−01	6.2256E+00	4.0375E−01
4	2.9543E+00	1.0364E+00	3.9465E+00	6.5387E−01	4.2698E+00	5.6988E−01	4.6468E+00	4.9826E−01
5	2.1988E+00	1.2621E+00	3.0085E+00	7.8570E−01	3.2703E+00	6.8300E−01	3.5721E+00	5.9594E−01
6	1.6997E+00	1.4905E+00	2.3617E+00	9.1849E−01	2.5761E+00	7.9675E−01	2.8218E+00	6.9402E−01
7	1.3584E+00	1.7116E+00	1.9055E+00	1.0471E+00	2.0838E+00	9.0681E−01	2.2874E+00	7.8886E−01
8	1.1138E+00	1.9222E+00	1.5725E+00	1.1696E+00	1.7231E+00	1.0117E+00	1.8947E+00	8.7921E−01
9	9.3138E−01	2.1243E+00	1.3207E+00	1.2872E+00	1.4495E+00	1.1123E+00	1.5960E+00	9.6578E−01
10	7.9190E−01	2.3206E+00	1.1248E+00	1.4015E+00	1.2359E+00	1.2100E+00	1.3621E+00	1.0498E+00
11	6.8371E−01	2.5126E+00	9.6933E−01	1.5136E+00	1.0656E+00	1.3059E+00	1.1751E+00	1.1324E+00
12	5.9879E−01	2.7001E+00	8.4423E−01	1.6241E+00	9.2788E−01	1.4005E+00	1.0234E+00	1.2138E+00
13	5.3117E−01	2.8822E+00	7.4246E−01	1.7325E+00	8.1538E−01	1.4934E+00	8.9893E−01	1.2939E+00
14	4.7635E−01	3.0578E+00	6.5883E−01	1.8382E+00	7.2262E−01	1.5842E+00	7.9603E−01	1.3722E+00
15	4.3096E−01	3.2264E+00	5.8939E−01	1.9405E+00	6.4543E−01	1.6722E+00	7.1025E−01	1.4483E+00
16	3.9258E−01	3.3880E+00	5.3109E−01	2.0389E+00	5.8058E−01	1.7569E+00	6.3813E−01	1.5215E+00
17	3.5949E−01	3.5428E+00	4.8156E−01	2.1331E+00	5.2557E−01	1.8381E+00	5.7698E−01	1.5917E+00
18	3.3047E−01	3.6916E+00	4.3902E−01	2.2229E+00	4.7843E−01	1.9155E+00	5.2465E−01	1.6586E+00
19	3.0474E−01	3.8350E+00	4.0208E−01	2.3086E+00	4.3763E−01	1.9891E+00	4.7949E−01	1.7222E+00
20	2.8175E−01	3.9739E+00	3.6971E−01	2.3903E+00	4.0203E−01	2.0593E+00	4.4017E−01	1.7827E+00
21	2.6113E−01	4.1087E+00	3.4113E−01	2.4685E+00	3.7070E−01	2.1262E+00	4.0567E−01	1.8403E+00
22	2.4260E−01	4.2401E+00	3.1576E−01	2.5436E+00	3.4297E−01	2.1903E+00	3.7520E−01	1.8954E+00
23	2.2594E−01	4.3681E+00	2.9312E−01	2.6160E+00	3.1829E−01	2.2519E+00	3.4813E−01	1.9483E+00
24	2.1093E−01	4.4933E+00	2.7285E−01	2.6861E+00	2.9621E−01	2.3115E+00	3.2395E−01	1.9993E+00
25	1.9740E−01	4.6157E+00	2.5462E−01	2.7541E+00	2.7639E−01	2.3693E+00	3.0224E−01	2.0486E+00
26	1.8520E−01	4.7356E+00	2.3818E−01	2.8204E+00	2.5851E−01	2.4254E+00	2.8268E−01	2.0966E+00
27	1.7418E−01	4.8530E+00	2.2332E−01	2.8851E+00	2.4234E−01	2.4802E+00	2.6498E−01	2.1433E+00
28	1.6421E−01	4.9680E+00	2.0986E−01	2.9484E+00	2.2768E−01	2.5338E+00	2.4892E−01	2.1891E+00
29	1.5518E−01	5.0806E+00	1.9764E−01	3.0105E+00	2.1436E−01	2.5864E+00	2.3431E−01	2.2340E+00
30	1.4697E−01	5.1909E+00	1.8653E−01	3.0715E+00	2.0223E−01	2.6381E+00	2.2099E−01	2.2782E+00
31	1.3948E−01	5.2990E+00	1.7640E−01	3.1313E+00	1.9115E−01	2.6889E+00	2.0880E−01	2.3216E+00
32	1.3264E−01	5.4050E+00	1.6713E−01	3.1902E+00	1.8100E−01	2.7388E+00	1.9762E−01	2.3644E+00
33	1.2637E−01	5.5091E+00	1.5863E−01	3.2480E+00	1.7168E−01	2.7880E+00	1.8734E−01	2.4065E+00
34	1.2061E−01	5.6113E+00	1.5081E−01	3.3049E+00	1.6310E−01	2.8364E+00	1.7787E−01	2.4480E+00
35	1.1529E−01	5.7116E+00	1.4362E−01	3.3609E+00	1.5519E−01	2.8841E+00	1.6913E−01	2.4888E+00
36	1.1037E−01	5.8103E+00	1.3698E−01	3.4159E+00	1.4788E−01	2.9310E+00	1.6105E−01	2.5291E+00
37	1.0580E−01	5.9074E+00	1.3083E−01	3.4700E+00	1.4111E−01	2.9771E+00	1.5356E−01	2.5688E+00
38	1.0155E−01	6.0030E+00	1.2512E−01	3.5232E+00	1.3483E−01	3.0225E+00	1.4660E−01	2.6078E+00
39	9.7589E−02	6.0973E+00	1.1981E−01	3.5755E+00	1.2897E−01	3.0672E+00	1.4011E−01	2.6462E+00
40	9.3893E−02	6.1903E+00	1.1484E−01	3.6269E+00	1.2350E−01	3.1111E+00	1.3406E−01	2.6839E+00
41	9.0430E−02	6.2821E+00	1.1021E−01	3.6775E+00	1.1840E−01	3.1542E+00	1.2841E−01	2.7210E+00
42	8.7177E−02	8.9579E−02	1.0587E−01	3.7272E+00	1.1362E−01	3.1966E+00	1.2312E−01	2.7575E+00
43	8.4116E−02	1.7926E−01	1.0179E−01	3.7761E+00	1.0914E−01	3.2383E+00	1.1817E−01	2.7934E+00
44	8.1236E−02	2.6799E−01	9.7961E−02	3.8241E+00	1.0493E−01	3.2793E+00	1.1351E−01	2.8286E+00
45	7.8525E−02	3.5581E−01	9.4348E−02	3.8714E+00	1.0097E−01	3.3195E+00	1.0913E−01	2.8631E+00
46	7.5968E−02	4.4278E−01	9.0937E−02	3.9179E+00	9.7224E−02	3.3591E+00	1.0500E−01	2.8971E+00
47	7.3551E−02	5.2894E−01	8.7714E−02	3.9637E+00	9.3691E−02	3.3980E+00	1.0111E−01	2.9304E+00
48	7.1263E−02	6.1437E−01	8.4665E−02	4.0087E+00	9.0354E−02	3.4362E+00	9.7433E−02	2.9632E+00
49	6.9094E−02	6.9912E−01	8.1778E−02	4.0530E+00	8.7198E−02	3.4738E+00	9.3961E−02	2.9954E+00
50	6.7039E−02	7.8320E−01	7.9039E−02	4.0965E+00	8.4207E−02	3.5107E+00	9.0674E−02	3.0270E+00
51	6.5092E−02	8.6661E−01	7.6436E−02	4.1395E+00	8.1368E−02	3.5470E+00	8.7556E−02	3.0580E+00
52	6.3246E−02	9.4937E−01	7.3960E−02	4.1818E+00	7.8669E−02	3.5827E+00	8.4596E−02	3.0885E+00
53	6.1494E−02	1.0315E+00	7.1604E−02	4.2235E+00	7.6102E−02	3.6179E+00	8.1784E−02	3.1185E+00
54	5.9829E−02	1.1131E+00	6.9361E−02	4.2645E+00	7.3662E−02	3.6525E+00	7.9113E−02	3.1479E+00
55	5.8246E−02	1.1942E+00	6.7225E−02	4.3050E+00	7.1341E−02	3.6865E+00	7.6575E−02	3.1769E+00
56	5.6741E−02	1.2748E+00	6.5187E−02	4.3448E+00	6.9130E−02	3.7200E+00	7.4160E−02	3.2054E+00
57	5.5312E−02	1.3548E+00	6.3242E−02	4.3840E+00	6.7020E−02	3.7530E+00	7.1856E−02	3.2334E+00
58	5.3954E−02	1.4342E+00	6.1383E−02	4.4228E+00	6.5005E−02	3.7855E+00	6.9658E−02	3.2610E+00
59	5.2662E−02	1.5132E+00	5.9607E−02	4.4611E+00	6.3079E−02	3.8175E+00	6.7559E−02	3.2882E+00
60	5.1435E−02	1.5917E+00	5.7908E−02	4.4988E+00	6.1241E−02	3.8491E+00	6.5556E−02	3.3150E+00

Nd; [Z=60]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.4119E+01	2.8873E−01	1.6423E+01	2.0045E−01	1.7330E+01	1.7798E−01	1.8487E+01	1.5802E−01
1	1.0206E+01	3.8730E−01	1.2180E+01	2.6378E−01	1.2914E+01	2.3333E−01	1.3832E+01	2.0647E−01
2	6.0770E+00	6.0589E−01	7.5938E+00	3.9891E−01	8.1191E+00	3.5059E−01	8.7556E+00	3.0858E−01
3	4.0922E+00	8.2028E−01	5.3104E+00	5.2825E−01	5.7165E+00	4.6231E−01	6.1973E+00	4.0556E−01
4	2.9430E+00	1.0317E+00	3.9433E+00	6.5384E−01	4.2696E+00	5.7046E−01	4.6496E+00	4.9923E−01
5	2.1968E+00	1.2549E+00	3.0173E+00	7.8447E−01	3.2827E+00	6.8261E−01	3.5884E+00	5.9612E−01
6	1.7004E+00	1.4824E+00	2.3737E+00	9.1683E−01	2.5919E+00	7.9603E−01	2.8414E+00	6.9396E−01
7	1.3600E+00	1.7040E+00	1.9174E+00	1.0458E+00	2.0991E+00	9.0649E−01	2.3062E+00	7.8917E−01
8	1.1160E+00	1.9158E+00	1.5834E+00	1.1693E+00	1.7370E+00	1.0122E+00	1.9117E+00	8.8024E−01
9	9.3389E−01	2.1191E+00	1.3307E+00	1.2878E+00	1.4620E+00	1.1136E+00	1.6113E+00	9.6756E−01
10	7.9448E−01	2.3165E+00	1.1340E+00	1.4028E+00	1.2473E+00	1.2120E+00	1.3761E+00	1.0523E+00
11	6.8613E−01	2.5094E+00	9.7772E−01	1.5156E+00	1.0760E+00	1.3085E+00	1.1878E+00	1.1354E+00
12	6.0093E−01	2.6978E+00	8.5185E−01	1.6267E+00	9.3737E−01	1.4036E+00	1.0349E+00	1.2173E+00
13	5.3305E−01	2.8810E+00	7.4934E−01	1.7358E+00	8.2397E−01	1.4972E+00	9.0940E−01	1.2979E+00
14	4.7806E−01	3.0581E+00	6.6503E−01	1.8424E+00	7.3036E−01	1.5887E+00	8.0546E−01	1.3769E+00
15	4.3262E−01	3.2284E+00	5.9499E−01	1.9458E+00	6.5239E−01	1.6777E+00	7.1872E−01	1.4538E+00
16	3.9429E−01	3.3918E+00	5.3618E−01	2.0456E+00	5.8686E−01	1.7637E+00	6.4574E−01	1.5282E+00
17	3.6131E−01	3.5485E+00	4.8624E−01	2.1413E+00	5.3126E−01	1.8462E+00	5.8382E−01	1.5996E+00
18	3.3244E−01	3.6990E+00	4.4336E−01	2.2327E+00	4.8362E−01	1.9251E+00	5.3083E−01	1.6679E+00
19	3.0684E−01	3.8442E+00	4.0614E−01	2.3200E+00	4.4241E−01	2.0003E+00	4.8510E−01	1.7329E+00
20	2.8396E−01	3.9848E+00	3.7353E−01	2.4034E+00	4.0644E−01	2.0719E+00	4.4530E−01	1.7948E+00
21	2.6342E−01	4.1212E+00	3.4475E−01	2.4831E+00	3.7480E−01	2.1403E+00	4.1038E−01	1.8537E+00
22	2.4492E−01	4.2540E+00	3.1918E−01	2.5597E+00	3.4679E−01	2.2058E+00	3.7955E−01	1.9100E+00
23	2.2824E−01	4.3836E+00	2.9636E−01	2.6334E+00	3.2186E−01	2.2687E+00	3.5216E−01	1.9641E+00
24	2.1319E−01	4.5101E+00	2.7590E−01	2.7047E+00	2.9956E−01	2.3294E+00	3.2769E−01	2.0161E+00
25	1.9959E−01	4.6340E+00	2.5749E−01	2.7739E+00	2.7952E−01	2.3882E+00	3.0573E−01	2.0664E+00
26	1.8731E−01	4.7553E+00	2.4088E−01	2.8412E+00	2.6144E−01	2.4452E+00	2.8594E−01	2.1152E+00
27	1.7619E−01	4.8741E+00	2.2584E−01	2.9068E+00	2.4508E−01	2.5008E+00	2.6803E−01	2.1627E+00
28	1.6612E−01	4.9906E+00	2.1222E−01	2.9709E+00	2.3025E−01	2.5551E+00	2.5178E−01	2.2090E+00
29	1.5697E−01	5.1046E+00	1.9985E−01	3.0338E+00	2.1677E−01	2.6084E+00	2.3700E−01	2.2545E+00
30	1.4865E−01	5.2163E+00	1.8859E−01	3.0954E+00	2.0449E−01	2.6606E+00	2.2352E−01	2.2991E+00
31	1.4106E−01	5.3258E+00	1.7832E−01	3.1559E+00	1.9327E−01	2.7119E+00	2.1119E−01	2.3430E+00
32	1.3412E−01	5.4332E+00	1.6892E−01	3.2154E+00	1.8299E−01	2.7624E+00	1.9988E−01	2.3861E+00
33	1.2776E−01	5.5387E+00	1.6031E−01	3.2738E+00	1.7355E−01	2.8120E+00	1.8948E−01	2.4286E+00
34	1.2191E−01	5.6421E+00	1.5239E−01	3.3313E+00	1.6486E−01	2.8609E+00	1.7990E−01	2.4704E+00
35	1.1651E−01	5.7438E+00	1.4510E−01	3.3878E+00	1.5686E−01	2.9090E+00	1.7106E−01	2.5117E+00
36	1.1151E−01	5.8437E+00	1.3837E−01	3.4434E+00	1.4946E−01	2.9563E+00	1.6288E−01	2.5523E+00
37	1.0687E−01	5.9420E+00	1.3215E−01	3.4980E+00	1.4262E−01	3.0029E+00	1.5531E−01	2.5924E+00
38	1.0256E−01	6.0387E+00	1.2637E−01	3.5517E+00	1.3626E−01	3.0488E+00	1.4827E−01	2.6318E+00
39	9.8547E−02	6.1341E+00	1.2099E−01	3.6046E+00	1.3034E−01	3.0939E+00	1.4172E−01	2.6705E+00
40	9.4797E−02	6.2282E+00	1.1598E−01	3.6566E+00	1.2481E−01	3.1383E+00	1.3560E−01	2.7087E+00
41	9.1286E−02	3.7860E−02	1.1129E−01	3.7078E+00	1.1966E−01	3.1819E+00	1.2989E−01	2.7462E+00
42	8.7989E−02	1.2957E−01	1.0691E−01	3.7581E+00	1.1483E−01	3.2248E+00	1.2455E−01	2.7831E+00
43	8.4888E−02	2.2024E−01	1.0280E−01	3.8075E+00	1.1031E−01	3.2670E+00	1.1954E−01	2.8194E+00
44	8.1972E−02	3.0993E−01	9.8933E−02	3.8562E+00	1.0606E−01	3.3085E+00	1.1484E−01	2.8551E+00
45	7.9227E−02	3.9870E−01	9.5290E−02	3.9041E+00	1.0206E−01	3.3493E+00	1.1042E−01	2.8902E+00
46	7.6637E−02	4.8660E−01	9.1852E−02	3.9512E+00	9.8288E−02	3.3894E+00	1.0625E−01	2.9246E+00
47	7.4192E−02	5.7369E−01	8.8603E−02	3.9976E+00	9.4726E−02	3.4289E+00	1.0232E−01	2.9584E+00
48	7.1876E−02	6.6005E−01	8.5532E−02	4.0432E+00	9.1361E−02	3.4676E+00	9.8609E−02	2.9917E+00
49	6.9682E−02	7.4573E−01	8.2624E−02	4.0881E+00	8.8179E−02	3.5057E+00	9.5104E−02	3.0243E+00
50	6.7604E−02	8.3073E−01	7.9865E−02	4.1323E+00	8.5163E−02	3.5432E+00	9.1785E−02	3.0564E+00
51	6.5635E−02	9.1508E−01	7.7243E−02	4.1758E+00	8.2299E−02	3.5801E+00	8.8637E−02	3.0880E+00
52	6.3769E−02	9.9881E−01	7.4750E−02	4.2188E+00	7.9579E−02	3.6164E+00	8.5648E−02	3.1190E+00
53	6.1997E−02	1.0819E+00	7.2378E−02	4.2611E+00	7.6991E−02	3.6521E+00	8.2809E−02	3.1495E+00
54	6.0314E−02	1.1645E+00	7.0119E−02	4.3028E+00	7.4530E−02	3.6873E+00	8.0112E−02	3.1795E+00
55	5.8714E−02	1.2466E+00	6.7967E−02	4.3438E+00	7.2190E−02	3.7219E+00	7.7548E−02	3.2090E+00
56	5.7194E−02	1.3282E+00	6.5914E−02	4.3843E+00	6.9959E−02	3.7559E+00	7.5108E−02	3.2380E+00
57	5.5751E−02	1.4093E+00	6.3954E−02	4.4242E+00	6.7830E−02	3.7895E+00	7.2781E−02	3.2665E+00
58	5.4378E−02	1.4899E+00	6.2081E−02	4.4636E+00	6.5797E−02	3.8225E+00	7.0560E−02	3.2946E+00
59	5.3074E−02	1.5700E+00	6.0291E−02	4.5024E+00	6.3854E−02	3.8551E+00	6.8439E−02	3.3222E+00
60	5.1835E−02	1.6496E+00	5.8579E−02	4.5408E+00	6.1998E−02	3.8872E+00	6.6415E−02	3.3495E+00

Pm; [Z=61]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.3747E+01	2.9104E−01	1.6020E+01	2.0326E−01	1.6912E+01	1.8074E−01	1.8049E+01	1.6067E−01
1	9.9991E+00	3.8845E−01	1.1955E+01	2.6611E−01	1.2682E+01	2.3572E−01	1.3590E+01	2.0884E−01
2	5.9933E+00	6.0533E−01	7.5052E+00	4.0065E−01	8.0292E+00	3.5255E−01	8.6632E+00	3.1065E−01
3	4.0542E+00	8.1824E−01	5.2740E+00	5.2945E−01	5.6811E+00	4.6388E−01	6.1626E+00	4.0735E−01
4	2.9286E+00	1.0271E+00	3.9353E+00	6.5381E−01	4.2640E+00	5.7105E−01	4.6465E+00	5.0021E−01
5	2.1926E+00	1.2476E+00	3.0226E+00	7.8317E−01	3.2912E+00	6.8216E−01	3.6002E+00	5.9626E−01
6	1.6997E+00	1.4737E+00	2.3834E+00	9.1492E−01	2.6049E+00	7.9511E−01	2.8580E+00	6.9372E−01
7	1.3605E+00	1.6955E+00	1.9276E+00	1.0441E+00	2.1125E+00	9.0576E−01	2.3231E+00	7.8913E−01
8	1.1172E+00	1.9083E+00	1.5932E+00	1.1682E+00	1.7496E+00	1.0121E+00	1.9274E+00	8.8076E−01
9	9.3559E−01	2.1126E+00	1.3398E+00	1.2875E+00	1.4737E+00	1.1142E+00	1.6257E+00	9.6874E−01
10	7.9641E−01	2.3109E+00	1.1425E+00	1.4033E+00	1.2580E+00	1.2133E+00	1.3893E+00	1.0541E+00
11	6.8802E−01	2.5045E+00	9.8556E−01	1.5167E+00	1.0859E+00	1.3103E+00	1.1999E+00	1.1377E+00
12	6.0264E−01	2.6938E+00	8.5904E−01	1.6283E+00	9.4643E−01	1.4059E+00	1.0460E+00	1.2200E+00
13	5.3456E−01	2.8781E+00	7.5588E−01	1.7380E+00	8.3222E−01	1.5000E+00	9.1951E−01	1.3011E+00
14	4.7944E−01	3.0565E+00	6.7095E−01	1.8454E+00	7.3782E−01	1.5923E+00	8.1463E−01	1.3808E+00
15	4.3397E−01	3.2283E+00	6.0036E−01	1.9499E+00	6.5913E−01	1.6822E+00	7.2699E−01	1.4585E+00
16	3.9570E−01	3.3934E+00	5.4107E−01	2.0509E+00	5.9296E−01	1.7693E+00	6.5319E−01	1.5338E+00
17	3.6283E−01	3.5519E+00	4.9075E−01	2.1479E+00	5.3681E−01	1.8531E+00	5.9055E−01	1.6064E+00
18	3.3412E−01	3.7042E+00	4.4755E−01	2.2409E+00	4.8870E−01	1.9333E+00	5.3693E−01	1.6759E+00
19	3.0867E−01	3.8511E+00	4.1007E−01	2.3298E+00	4.4708E−01	2.0100E+00	4.9065E−01	1.7423E+00
20	2.8593E−01	3.9932E+00	3.7725E−01	2.4147E+00	4.1077E−01	2.0831E+00	4.5037E−01	1.8055E+00
21	2.6548E−01	4.1312E+00	3.4827E−01	2.4960E+00	3.7884E−01	2.1529E+00	4.1505E−01	1.8658E+00
22	2.4704E−01	4.2655E+00	3.2253E−01	2.5740E+00	3.5057E−01	2.2198E+00	3.8387E−01	1.9234E+00
23	2.3039E−01	4.3964E+00	2.9954E−01	2.6492E+00	3.2540E−01	2.2840E+00	3.5616E−01	1.9786E+00
24	2.1532E−01	4.5244E+00	2.7891E−01	2.7217E+00	3.0288E−01	2.3459E+00	3.3142E−01	2.0317E+00
25	2.0168E−01	4.6497E+00	2.6034E−01	2.7920E+00	2.8263E−01	2.4057E+00	3.0921E−01	2.0830E+00
26	1.8933E−01	4.7723E+00	2.4356E−01	2.8603E+00	2.6436E−01	2.4637E+00	2.8919E−01	2.1326E+00
27	1.7814E−01	4.8926E+00	2.2837E−01	2.9269E+00	2.4783E−01	2.5201E+00	2.7108E−01	2.1809E+00
28	1.6798E−01	5.0104E+00	2.1459E−01	2.9919E+00	2.3282E−01	2.5752E+00	2.5464E−01	2.2279E+00
29	1.5874E−01	5.1258E+00	2.0207E−01	3.0555E+00	2.1918E−01	2.6291E+00	2.3969E−01	2.2739E+00
30	1.5033E−01	5.2389E+00	1.9067E−01	3.1179E+00	2.0675E−01	2.6819E+00	2.2605E−01	2.3191E+00
31	1.4264E−01	5.3498E+00	1.8026E−01	3.1790E+00	1.9539E−01	2.7338E+00	2.1358E−01	2.3634E+00
32	1.3561E−01	5.4586E+00	1.7074E−01	3.2392E+00	1.8499E−01	2.7848E+00	2.0213E−01	2.4070E+00
33	1.2916E−01	5.5654E+00	1.6200E−01	3.2982E+00	1.7543E−01	2.8349E+00	1.9161E−01	2.4499E+00
34	1.2323E−01	5.6702E+00	1.5398E−01	3.3563E+00	1.6663E−01	2.8842E+00	1.8192E−01	2.4921E+00
35	1.1775E−01	5.7731E+00	1.4659E−01	3.4134E+00	1.5853E−01	2.9328E+00	1.7297E−01	2.5337E+00
36	1.1268E−01	5.8743E+00	1.3977E−01	3.4695E+00	1.5105E−01	2.9806E+00	1.6471E−01	2.5747E+00
37	1.0798E−01	5.9738E+00	1.3347E−01	3.5247E+00	1.4412E−01	3.0276E+00	1.5705E−01	2.6151E+00
38	1.0360E−01	6.0718E+00	1.2762E−01	3.5790E+00	1.3769E−01	3.0740E+00	1.4993E−01	2.6548E+00
39	9.9530E−02	6.1683E+00	1.2218E−01	3.6324E+00	1.3170E−01	3.1195E+00	1.4330E−01	2.6940E+00
40	9.5728E−02	6.2635E+00	1.1711E−01	3.6850E+00	1.2612E−01	3.1644E+00	1.3712E−01	2.7325E+00
41	9.2167E−02	7.4180E−02	1.1237E−01	3.7367E+00	1.2091E−01	3.2085E+00	1.3135E−01	2.7705E+00
42	8.8824E−02	1.6693E−01	1.0795E−01	3.7876E+00	1.1603E−01	3.2519E+00	1.2595E−01	2.8078E+00
43	8.5682E−02	2.5860E−01	1.0380E−01	3.8376E+00	1.1147E−01	3.2946E+00	1.2090E−01	2.8445E+00
44	8.2727E−02	3.4927E−01	9.9893E−02	3.8869E+00	1.0718E−01	3.3366E+00	1.1615E−01	2.8807E+00
45	7.9945E−02	4.3899E−01	9.6218E−02	3.9353E+00	1.0314E−01	3.3779E+00	1.1169E−01	2.9162E+00
46	7.7323E−02	5.2783E−01	9.2752E−02	3.9830E+00	9.9334E−02	3.4186E+00	1.0748E−01	2.9511E+00
47	7.4845E−02	6.1585E−01	8.9478E−02	4.0300E+00	9.5740E−02	3.4585E+00	1.0351E−01	2.9854E+00
48	7.2500E−02	7.0313E−01	8.6383E−02	4.0762E+00	9.2347E−02	3.4978E+00	9.9763E−02	3.0191E+00
49	7.0279E−02	7.8972E−01	8.3452E−02	4.1217E+00	8.9139E−02	3.5365E+00	9.6224E−02	3.0523E+00
50	6.8176E−02	8.7564E−01	8.0673E−02	4.1666E+00	8.6098E−02	3.5745E+00	9.2874E−02	3.0849E+00
51	6.6184E−02	9.6091E−01	7.8033E−02	4.2107E+00	8.3211E−02	3.6119E+00	8.9696E−02	3.1169E+00
52	6.4295E−02	1.0456E+00	7.5522E−02	4.2543E+00	8.0468E−02	3.6488E+00	8.6680E−02	3.1484E+00
53	6.2502E−02	1.1296E+00	7.3133E−02	4.2972E+00	7.7860E−02	3.6851E+00	8.3815E−02	3.1794E+00
54	6.0799E−02	1.2132E+00	7.0858E−02	4.3395E+00	7.5380E−02	3.7208E+00	8.1091E−02	3.2099E+00
55	5.9181E−02	1.2963E+00	6.8691E−02	4.3811E+00	7.3019E−02	3.7559E+00	7.8503E−02	3.2399E+00
56	5.7644E−02	1.3789E+00	6.6624E−02	4.4222E+00	7.0770E−02	3.7905E+00	7.6040E−02	3.2694E+00
57	5.6184E−02	1.4610E+00	6.4649E−02	4.4627E+00	6.8623E−02	3.8246E+00	7.3689E−02	3.2984E+00
58	5.4796E−02	1.5426E+00	6.2762E−02	4.5027E+00	6.6572E−02	3.8582E+00	7.1446E−02	3.3270E+00
59	5.3478E−02	1.6238E+00	6.0959E−02	4.5422E+00	6.4613E−02	3.8914E+00	6.9304E−02	3.3551E+00
60	5.2225E−02	1.7046E+00	5.9234E−02	4.5811E+00	6.2740E−02	3.9240E+00	6.7259E−02	3.3828E+00

Sm; [Z=62]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.3395E+01	2.9309E−01	1.5635E+01	2.0589E−01	1.6514E+01	1.8334E−01	1.7631E+01	1.6319E−01
1	9.7992E+00	3.8936E−01	1.1735E+01	2.6827E−01	1.2455E+01	2.3797E−01	1.3352E+01	2.1109E−01
2	5.9092E+00	6.0457E−01	7.4147E+00	4.0225E−01	7.9369E+00	3.5441E−01	8.5680E+00	3.1262E−01
3	4.0140E+00	8.1613E−01	5.2337E+00	5.3059E−01	5.6414E+00	4.6541E−01	6.1230E+00	4.0909E−01
4	2.9118E+00	1.0224E+00	3.9232E+00	6.5380E−01	4.2540E+00	5.7164E−01	4.6385E+00	5.0120E−01
5	2.1866E+00	1.2402E+00	3.0246E+00	7.8186E−01	3.2961E+00	6.8171E−01	3.6082E+00	5.9639E−01
6	1.6976E+00	1.4648E+00	2.3907E+00	9.1286E−01	2.6154E+00	7.9406E−01	2.8719E+00	6.9338E−01
7	1.3600E+00	1.6864E+00	1.9363E+00	1.0420E+00	2.1243E+00	9.0473E−01	2.3381E+00	7.8883E−01
8	1.1175E+00	1.8998E+00	1.6019E+00	1.1667E+00	1.7611E+00	1.0115E+00	1.9418E+00	8.8088E−01
9	9.3658E−01	2.1051E+00	1.3481E+00	1.2866E+00	1.4844E+00	1.1142E+00	1.6392E+00	9.6943E−01
10	7.9774E−01	2.3041E+00	1.1503E+00	1.4030E+00	1.2681E+00	1.2139E+00	1.4017E+00	1.0553E+00
11	6.8943E−01	2.4984E+00	9.9286E−01	1.5170E+00	1.0952E+00	1.3115E+00	1.2115E+00	1.1394E+00
12	6.0396E−01	2.6884E+00	8.6579E−01	1.6291E+00	9.5504E−01	1.4075E+00	1.0566E+00	1.2221E+00
13	5.3574E−01	2.8737E+00	7.6206E−01	1.7394E+00	8.4010E−01	1.5022E+00	9.2925E−01	1.3037E+00
14	4.8052E−01	3.0533E+00	6.7658E−01	1.8475E+00	7.4500E−01	1.5950E+00	8.2350E−01	1.3839E+00
15	4.3502E−01	3.2265E+00	6.0549E−01	1.9529E+00	6.6565E−01	1.6858E+00	7.3503E−01	1.4624E+00
16	3.9681E−01	3.3932E+00	5.4576E−01	2.0550E+00	5.9889E−01	1.7738E+00	6.6047E−01	1.5386E+00
17	3.6407E−01	3.5533E+00	4.9508E−01	2.1534E+00	5.4221E−01	1.8588E+00	5.9714E−01	1.6122E+00
18	3.3551E−01	3.7073E+00	4.5158E−01	2.2478E+00	4.9365E−01	1.9404E+00	5.4292E−01	1.6829E+00
19	3.1024E−01	3.8558E+00	4.1387E−01	2.3382E+00	4.5165E−01	2.0184E+00	4.9612E−01	1.7506E+00
20	2.8764E−01	3.9995E+00	3.8085E−01	2.4246E+00	4.1502E−01	2.0930E+00	4.5539E−01	1.8151E+00
21	2.6732E−01	4.1389E+00	3.5169E−01	2.5074E+00	3.8281E−01	2.1642E+00	4.1968E−01	1.8767E+00
22	2.4897E−01	4.2746E+00	3.2579E−01	2.5868E+00	3.5429E−01	2.2324E+00	3.8815E−01	1.9356E+00
23	2.3236E−01	4.4070E+00	3.0265E−01	2.6633E+00	3.2890E−01	2.2979E+00	3.6014E−01	1.9920E+00
24	2.1731E−01	4.5363E+00	2.8188E−01	2.7371E+00	3.0617E−01	2.3610E+00	3.3513E−01	2.0462E+00
25	2.0365E−01	4.6629E+00	2.6316E−01	2.8086E+00	2.8573E−01	2.4219E+00	3.1268E−01	2.0984E+00
26	1.9126E−01	4.7870E+00	2.4623E−01	2.8779E+00	2.6727E−01	2.4808E+00	2.9244E−01	2.1490E+00
27	1.8001E−01	4.9085E+00	2.3089E−01	2.9455E+00	2.5057E−01	2.5382E+00	2.7413E−01	2.1980E+00
28	1.6978E−01	5.0277E+00	2.1696E−01	3.0114E+00	2.3540E−01	2.5940E+00	2.5750E−01	2.2457E+00
29	1.6047E−01	5.1445E+00	2.0430E−01	3.0758E+00	2.2161E−01	2.6487E+00	2.4238E−01	2.2924E+00
30	1.5197E−01	5.2590E+00	1.9276E−01	3.1390E+00	2.0903E−01	2.7022E+00	2.2858E−01	2.3381E+00
31	1.4421E−01	5.3712E+00	1.8222E−01	3.2009E+00	1.9753E−01	2.7547E+00	2.1596E−01	2.3830E+00
32	1.3709E−01	5.4814E+00	1.7257E−01	3.2616E+00	1.8699E−01	2.8062E+00	2.0438E−01	2.4270E+00
33	1.3057E−01	5.5895E+00	1.6372E−01	3.3213E+00	1.7732E−01	2.8568E+00	1.9374E−01	2.4703E+00
34	1.2456E−01	5.6957E+00	1.5558E−01	3.3800E+00	1.6841E−01	2.9066E+00	1.8393E−01	2.5129E+00
35	1.1901E−01	5.7999E+00	1.4810E−01	3.4377E+00	1.6021E−01	2.9556E+00	1.7488E−01	2.5549E+00
36	1.1387E−01	5.9023E+00	1.4119E−01	3.4944E+00	1.5263E−01	3.0039E+00	1.6652E−01	2.5962E+00
37	1.0910E−01	6.0031E+00	1.3480E−01	3.5501E+00	1.4562E−01	3.0514E+00	1.5877E−01	2.6370E+00
38	1.0467E−01	6.1023E+00	1.2888E−01	3.6050E+00	1.3911E−01	3.0982E+00	1.5157E−01	2.6772E+00
39	1.0054E−01	6.1999E+00	1.2337E−01	3.6590E+00	1.3305E−01	3.1442E+00	1.4487E−01	2.7167E+00
40	9.6681E−02	1.3042E−02	1.1824E−01	3.7122E+00	1.2741E−01	3.1895E+00	1.3863E−01	2.7556E+00
41	9.3071E−02	1.0804E−01	1.1345E−01	3.7644E+00	1.2214E−01	3.2341E+00	1.3280E−01	2.7939E+00
42	8.9682E−02	2.0184E−01	1.0898E−01	3.8159E+00	1.1722E−01	3.2780E+00	1.2734E−01	2.8317E+00
43	8.6498E−02	2.9453E−01	1.0479E−01	3.8665E+00	1.1261E−01	3.3212E+00	1.2224E−01	2.8688E+00
44	8.3503E−02	3.8619E−01	1.0085E−01	3.9163E+00	1.0828E−01	3.3637E+00	1.1744E−01	2.9054E+00
45	8.0683E−02	4.7688E−01	9.7137E−02	3.9653E+00	1.0420E−01	3.4055E+00	1.1293E−01	2.9413E+00
46	7.8025E−02	5.6666E−01	9.3640E−02	4.0136E+00	1.0036E−01	3.4466E+00	1.0868E−01	2.9767E+00
47	7.5515E−02	6.5561E−01	9.0339E−02	4.0612E+00	9.6738E−02	3.4871E+00	1.0468E−01	3.0114E+00
48	7.3139E−02	7.4381E−01	8.7219E−02	4.1080E+00	9.3315E−02	3.5269E+00	1.0089E−01	3.0456E+00
49	7.0889E−02	8.3131E−01	8.4266E−02	4.1540E+00	9.0080E−02	3.5661E+00	9.7324E−02	3.0793E+00
50	6.8759E−02	9.1814E−01	8.1465E−02	4.1995E+00	8.7014E−02	3.6047E+00	9.3942E−02	3.1123E+00
51	6.6741E−02	1.0043E+00	7.8805E−02	4.2442E+00	8.4104E−02	3.6426E+00	9.0736E−02	3.1449E+00
52	6.4827E−02	1.0899E+00	7.6277E−02	4.2883E+00	8.1339E−02	3.6800E+00	8.7692E−02	3.1769E+00
53	6.3011E−02	1.1749E+00	7.3871E−02	4.3319E+00	7.8710E−02	3.7168E+00	8.4800E−02	3.2083E+00
54	6.1287E−02	1.2594E+00	7.1581E−02	4.3747E+00	7.6210E−02	3.7531E+00	8.2052E−02	3.2393E+00
55	5.9648E−02	1.3434E+00	6.9398E−02	4.4170E+00	7.3831E−02	3.7887E+00	7.9440E−02	3.2698E+00
56	5.8092E−02	1.4270E+00	6.7316E−02	4.4587E+00	7.1563E−02	3.8239E+00	7.6953E−02	3.2997E+00
57	5.6614E−02	1.5101E+00	6.5328E−02	4.4998E+00	6.9399E−02	3.8585E+00	7.4580E−02	3.3292E+00
58	5.5209E−02	1.5928E+00	6.3428E−02	4.5404E+00	6.7331E−02	3.8927E+00	7.2316E−02	3.3583E+00
59	5.3875E−02	1.6751E+00	6.1611E−02	4.5805E+00	6.5355E−02	3.9263E+00	7.0153E−02	3.3869E+00
60	5.2607E−02	1.7569E+00	5.9873E−02	4.6200E+00	6.3467E−02	3.9595E+00	6.8088E−02	3.4151E+00

Eu; [Z=63]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.3056E+01	2.9531E−01	1.5264E+01	2.0862E−01	1.6130E+01	1.8604E−01	1.7227E+01	1.6580E−01
1	9.6092E+00	3.9035E−01	1.1526E+01	2.7045E−01	1.2239E+01	2.4023E−01	1.3126E+01	2.1335E−01
2	5.8309E+00	6.0373E−01	7.3302E+00	4.0376E−01	7.8508E+00	3.5618E−01	8.4793E+00	3.1453E−01
3	3.9757E+00	8.1406E−01	5.1952E+00	5.3170E−01	5.6035E+00	4.6691E−01	6.0853E+00	4.1082E−01
4	2.8951E+00	1.0181E+00	3.9107E+00	6.5391E−01	4.2434E+00	5.7234E−01	4.6298E+00	5.0228E−01
5	2.1802E+00	1.2334E+00	3.0255E+00	7.8079E−01	3.2998E+00	6.8145E−01	3.6147E+00	5.9669E−01
6	1.6952E+00	1.4565E+00	2.3970E+00	9.1106E−01	2.6247E+00	7.9323E−01	2.8844E+00	6.9323E−01
7	1.3591E+00	1.6778E+00	1.9441E+00	1.0402E+00	2.1350E+00	9.0389E−01	2.3519E+00	7.8871E−01
8	1.1175E+00	1.8918E+00	1.6097E+00	1.1653E+00	1.7716E+00	1.0111E+00	1.9552E+00	8.8114E−01
9	9.3720E−01	2.0978E+00	1.3557E+00	1.2859E+00	1.4945E+00	1.1144E+00	1.6518E+00	9.7023E−01
10	7.9876E−01	2.2976E+00	1.1575E+00	1.4029E+00	1.2775E+00	1.2146E+00	1.4135E+00	1.0566E+00
11	6.9058E−01	2.4925E+00	9.9970E−01	1.5174E+00	1.1040E+00	1.3127E+00	1.2224E+00	1.1411E+00
12	6.0506E−01	2.6832E+00	8.7216E−01	1.6300E+00	9.6323E−01	1.4092E+00	1.0668E+00	1.2243E+00
13	5.3672E−01	2.8693E+00	7.6794E−01	1.7408E+00	8.4765E−01	1.5043E+00	9.3862E−01	1.3063E+00
14	4.8140E−01	3.0500E+00	6.8196E−01	1.8495E+00	7.5191E−01	1.5977E+00	8.3208E−01	1.3870E+00
15	4.3588E−01	3.2246E+00	6.1040E−01	1.9557E+00	6.7195E−01	1.6892E+00	7.4285E−01	1.4661E+00
16	3.9771E−01	3.3927E+00	5.5028E−01	2.0588E+00	6.0463E−01	1.7781E+00	6.6758E−01	1.5431E+00
17	3.6509E−01	3.5544E+00	4.9924E−01	2.1584E+00	5.4746E−01	1.8642E+00	6.0360E−01	1.6177E+00
18	3.3668E−01	3.7099E+00	4.5547E−01	2.2541E+00	4.9847E−01	1.9469E+00	5.4881E−01	1.6895E+00
19	3.1157E−01	3.8600E+00	4.1753E−01	2.3459E+00	4.5612E−01	2.0263E+00	5.0150E−01	1.7583E+00
20	2.8914E−01	4.0052E+00	3.8432E−01	2.4338E+00	4.1918E−01	2.1022E+00	4.6034E−01	1.8241E+00
21	2.6895E−01	4.1461E+00	3.5502E−01	2.5181E+00	3.8670E−01	2.1748E+00	4.2424E−01	1.8870E+00
22	2.5070E−01	4.2832E+00	3.2897E−01	2.5989E+00	3.5794E−01	2.2444E+00	3.9239E−01	1.9471E+00
23	2.3417E−01	4.4169E+00	3.0569E−01	2.6767E+00	3.3234E−01	2.3112E+00	3.6409E−01	2.0047E+00
24	2.1915E−01	4.5475E+00	2.8479E−01	2.7518E+00	3.0942E−01	2.3754E+00	3.3881E−01	2.0600E+00
25	2.0550E−01	4.6754E+00	2.6593E−01	2.8244E+00	2.8879E−01	2.4374E+00	3.1613E−01	2.1133E+00
26	1.9309E−01	4.8007E+00	2.4887E−01	2.8949E+00	2.7017E−01	2.4974E+00	2.9567E−01	2.1648E+00
27	1.8181E−01	4.9236E+00	2.3339E−01	2.9634E+00	2.5329E−01	2.5556E+00	2.7716E−01	2.2146E+00
28	1.7153E−01	5.0441E+00	2.1933E−01	3.0303E+00	2.3797E−01	2.6124E+00	2.6036E−01	2.2631E+00
29	1.6215E−01	5.1622E+00	2.0653E−01	3.0956E+00	2.2402E−01	2.6677E+00	2.4507E−01	2.3105E+00
30	1.5359E−01	5.2780E+00	1.9485E−01	3.1595E+00	2.1130E−01	2.7219E+00	2.3111E−01	2.3568E+00
31	1.4575E−01	5.3916E+00	1.8419E−01	3.2221E+00	1.9967E−01	2.7750E+00	2.1834E−01	2.4021E+00
32	1.3857E−01	5.5031E+00	1.7442E−01	3.2836E+00	1.8901E−01	2.8271E+00	2.0663E−01	2.4467E+00
33	1.3197E−01	5.6126E+00	1.6545E−01	3.3439E+00	1.7921E−01	2.8783E+00	1.9586E−01	2.4904E+00
34	1.2589E−01	5.7201E+00	1.5721E−01	3.4032E+00	1.7020E−01	2.9286E+00	1.8594E−01	2.5334E+00
35	1.2027E−01	5.8256E+00	1.4962E−01	3.4615E+00	1.6189E−01	2.9781E+00	1.7679E−01	2.5758E+00
36	1.1507E−01	5.9293E+00	1.4262E−01	3.5188E+00	1.5422E−01	3.0268E+00	1.6833E−01	2.6176E+00
37	1.1024E−01	6.0313E+00	1.3615E−01	3.5752E+00	1.4712E−01	3.0748E+00	1.6049E−01	2.6587E+00
38	1.0575E−01	6.1317E+00	1.3015E−01	3.6306E+00	1.4053E−01	3.1220E+00	1.5321E−01	2.6992E+00
39	1.0156E−01	6.2306E+00	1.2457E−01	3.6851E+00	1.3441E−01	3.1685E+00	1.4643E−01	2.7391E+00
40	9.7655E−02	4.4808E−02	1.1938E−01	3.7388E+00	1.2870E−01	3.2143E+00	1.4012E−01	2.7784E+00
41	9.3996E−02	1.4091E−01	1.1454E−01	3.7917E+00	1.2338E−01	3.2593E+00	1.3422E−01	2.8172E+00
42	9.0562E−02	2.3577E−01	1.1001E−01	3.8437E+00	1.1840E−01	3.3037E+00	1.2872E−01	2.8553E+00
43	8.7334E−02	3.2950E−01	1.0577E−01	3.8948E+00	1.1374E−01	3.3473E+00	1.2356E−01	2.8928E+00
44	8.4299E−02	4.2216E−01	1.0179E−01	3.9452E+00	1.0937E−01	3.3903E+00	1.1871E−01	2.9298E+00
45	8.1441E−02	5.1383E−01	9.8049E−02	3.9948E+00	1.0525E−01	3.4326E+00	1.1416E−01	2.9661E+00
46	7.8746E−02	6.0456E−01	9.4520E−02	4.0437E+00	1.0137E−01	3.4742E+00	1.0987E−01	3.0019E+00
47	7.6201E−02	6.9445E−01	9.1189E−02	4.0918E+00	9.7719E−02	3.5152E+00	1.0582E−01	3.0371E+00
48	7.3793E−02	7.8356E−01	8.8043E−02	4.1392E+00	9.4267E−02	3.5556E+00	1.0201E−01	3.0718E+00
49	7.1513E−02	8.7197E−01	8.5066E−02	4.1858E+00	9.1003E−02	3.5952E+00	9.8404E−02	3.1059E+00
50	6.9354E−02	9.5970E−01	8.2243E−02	4.2318E+00	8.7912E−02	3.6343E+00	9.4991E−02	3.1394E+00
51	6.7308E−02	1.0468E+00	7.9563E−02	4.2771E+00	8.4978E−02	3.6728E+00	9.1756E−02	3.1724E+00
52	6.5369E−02	1.1333E+00	7.7017E−02	4.3218E+00	8.2192E−02	3.7107E+00	8.8685E−02	3.2048E+00
53	6.3528E−02	1.2192E+00	7.4594E−02	4.3659E+00	7.9542E−02	3.7480E+00	8.5767E−02	3.2368E+00
54	6.1780E−02	1.3046E+00	7.2287E−02	4.4094E+00	7.7022E−02	3.7848E+00	8.2994E−02	3.2682E+00
55	6.0120E−02	1.3896E+00	7.0089E−02	4.4522E+00	7.4624E−02	3.8210E+00	8.0358E−02	3.2992E+00
56	5.8542E−02	1.4741E+00	6.7992E−02	4.4945E+00	7.2339E−02	3.8567E+00	7.7849E−02	3.3296E+00
57	5.7044E−02	1.5582E+00	6.5990E−02	4.5362E+00	7.0157E−02	3.8918E+00	7.5455E−02	3.3596E+00
58	5.5620E−02	1.6419E+00	6.4077E−02	4.5774E+00	6.8073E−02	3.9265E+00	7.3169E−02	3.3891E+00
59	5.4268E−02	1.7251E+00	6.2247E−02	4.6180E+00	6.6081E−02	3.9607E+00	7.0987E−02	3.4182E+00
60	5.2984E−02	1.8081E+00	6.0497E−02	4.6582E+00	6.4178E−02	3.9944E+00	6.8902E−02	3.4469E+00

Gd; [Z=64]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.2712E+01	3.0927E−01	1.4919E+01	2.1809E−01	1.5776E+01	1.9448E−01	1.6860E+01	1.7334E−01
1	9.6906E+00	3.9480E−01	1.1638E+01	2.7378E−01	1.2361E+01	2.4330E−01	1.3261E+01	2.1618E−01
2	5.9880E+00	5.9894E−01	7.5269E+00	4.0180E−01	8.0624E+00	3.5475E−01	8.7090E+00	3.1350E−01
3	4.0295E+00	8.1801E−01	5.2714E+00	5.3518E−01	5.6878E+00	4.7022E−01	6.1791E+00	4.1395E−01
4	2.9114E+00	1.0307E+00	3.9386E+00	6.6254E−01	4.2760E+00	5.8011E−01	4.6676E+00	5.0930E−01
5	2.1882E+00	1.2497E+00	3.0418E+00	7.9175E−01	3.3195E+00	6.9127E−01	3.6383E+00	6.0551E−01
6	1.7007E+00	1.4745E+00	2.4096E+00	9.2329E−01	2.6402E+00	8.0417E−01	2.9032E+00	7.0305E−01
7	1.3633E+00	1.6977E+00	1.9543E+00	1.0537E+00	2.1477E+00	9.1595E−01	2.3674E+00	7.9953E−01
8	1.1212E+00	1.9136E+00	1.6183E+00	1.1801E+00	1.7823E+00	1.0243E+00	1.9684E+00	8.9303E−01
9	9.4073E−01	2.1212E+00	1.3633E+00	1.3019E+00	1.5039E+00	1.1287E+00	1.6633E+00	9.8305E−01
10	8.0207E−01	2.3219E+00	1.1646E+00	1.4197E+00	1.2862E+00	1.2296E+00	1.4241E+00	1.0701E+00
11	6.9349E−01	2.5173E+00	1.0064E+00	1.5346E+00	1.1122E+00	1.3281E+00	1.2324E+00	1.1549E+00
12	6.0745E−01	2.7083E+00	8.7838E−01	1.6473E+00	9.7095E−01	1.4247E+00	1.0762E+00	1.2383E+00
13	5.3859E−01	2.8948E+00	7.7369E−01	1.7582E+00	8.5486E−01	1.5199E+00	9.4746E−01	1.3204E+00
14	4.8285E−01	3.0761E+00	6.8723E−01	1.8672E+00	7.5857E−01	1.6136E+00	8.4029E−01	1.4013E+00
15	4.3705E−01	3.2517E+00	6.1520E−01	1.9739E+00	6.7806E−01	1.7054E+00	7.5041E−01	1.4807E+00
16	3.9876E−01	3.4211E+00	5.5466E−01	2.0777E+00	6.1021E−01	1.7950E+00	6.7449E−01	1.5583E+00
17	3.6612E−01	3.5842E+00	5.0327E−01	2.1782E+00	5.5256E−01	1.8819E+00	6.0991E−01	1.6336E+00
18	3.3779E−01	3.7413E+00	4.5922E−01	2.2751E+00	5.0316E−01	1.9657E+00	5.5457E−01	1.7064E+00
19	3.1281E−01	3.8928E+00	4.2105E−01	2.3682E+00	4.6045E−01	2.0463E+00	5.0677E−01	1.7763E+00
20	2.9053E−01	4.0394E+00	3.8767E−01	2.4575E+00	4.2322E−01	2.1235E+00	4.6519E−01	1.8433E+00
21	2.7048E−01	4.1816E+00	3.5823E−01	2.5432E+00	3.9049E−01	2.1975E+00	4.2873E−01	1.9074E+00
22	2.5235E−01	4.3200E+00	3.3206E−01	2.6254E+00	3.6152E−01	2.2684E+00	3.9655E−01	1.9688E+00
23	2.3589E−01	4.4549E+00	3.0866E−01	2.7046E+00	3.3572E−01	2.3364E+00	3.6797E−01	2.0276E+00
24	2.2092E−01	4.5868E+00	2.8764E−01	2.7809E+00	3.1261E−01	2.4019E+00	3.4245E−01	2.0841E+00
25	2.0729E−01	4.7159E+00	2.6866E−01	2.8547E+00	2.9182E−01	2.4650E+00	3.1953E−01	2.1384E+00
26	1.9488E−01	4.8425E+00	2.5148E−01	2.9263E+00	2.7303E−01	2.5261E+00	2.9887E−01	2.1908E+00
27	1.8356E−01	4.9665E+00	2.3588E−01	2.9959E+00	2.5600E−01	2.5853E+00	2.8017E−01	2.2416E+00
28	1.7324E−01	5.0883E+00	2.2169E−01	3.0636E+00	2.4053E−01	2.6428E+00	2.6319E−01	2.2909E+00
29	1.6381E−01	5.2076E+00	2.0876E−01	3.1298E+00	2.2644E−01	2.6990E+00	2.4774E−01	2.3389E+00
30	1.5518E−01	5.3248E+00	1.9696E−01	3.1945E+00	2.1358E−01	2.7539E+00	2.3363E−01	2.3858E+00
31	1.4728E−01	5.4397E+00	1.8616E−01	3.2579E+00	2.0181E−01	2.8076E+00	2.2071E−01	2.4318E+00
32	1.4003E−01	5.5525E+00	1.7627E−01	3.3200E+00	1.9102E−01	2.8603E+00	2.0886E−01	2.4768E+00
33	1.3336E−01	5.6633E+00	1.6719E−01	3.3810E+00	1.8110E−01	2.9120E+00	1.9797E−01	2.5210E+00
34	1.2722E−01	5.7721E+00	1.5884E−01	3.4409E+00	1.7198E−01	2.9629E+00	1.8794E−01	2.5644E+00
35	1.2154E−01	5.8789E+00	1.5115E−01	3.4998E+00	1.6357E−01	3.0128E+00	1.7868E−01	2.6072E+00
36	1.1627E−01	5.9839E+00	1.4406E−01	3.5577E+00	1.5580E−01	3.0620E+00	1.7012E−01	2.6493E+00
37	1.1138E−01	6.0871E+00	1.3750E−01	3.6147E+00	1.4861E−01	3.1105E+00	1.6219E−01	2.6908E+00
38	1.0684E−01	6.1887E+00	1.3142E−01	3.6707E+00	1.4195E−01	3.1581E+00	1.5482E−01	2.7317E+00
39	1.0260E−01	5.5211E−03	1.2577E−01	3.7258E+00	1.3575E−01	3.2050E+00	1.4797E−01	2.7720E+00
40	9.8639E−02	1.0408E−01	1.2051E−01	3.7800E+00	1.2998E−01	3.2512E+00	1.4159E−01	2.8116E+00
41	9.4930E−02	2.0128E−01	1.1561E−01	3.8334E+00	1.2459E−01	3.2967E+00	1.3563E−01	2.8507E+00
42	9.1450E−02	2.9720E−01	1.1103E−01	3.8859E+00	1.1956E−01	3.3415E+00	1.3006E−01	2.8892E+00
43	8.8180E−02	3.9195E−01	1.0675E−01	3.9376E+00	1.1485E−01	3.3856E+00	1.2485E−01	2.9271E+00
44	8.5104E−02	4.8560E−01	1.0272E−01	3.9885E+00	1.1043E−01	3.4291E+00	1.1996E−01	2.9645E+00
45	8.2207E−02	5.7823E−01	9.8942E−02	4.0387E+00	1.0628E−01	3.4718E+00	1.1536E−01	3.0012E+00
46	7.9474E−02	6.6990E−01	9.5380E−02	4.0881E+00	1.0237E−01	3.5139E+00	1.1103E−01	3.0374E+00
47	7.6892E−02	7.6071E−01	9.2020E−02	4.1367E+00	9.8676E−02	3.5554E+00	1.0695E−01	3.0731E+00
48	7.4451E−02	8.5072E−01	8.8846E−02	4.1847E+00	9.5194E−02	3.5962E+00	1.0310E−01	3.1081E+00
49	7.2139E−02	9.3999E−01	8.5844E−02	4.2319E+00	9.1902E−02	3.6364E+00	9.9457E−02	3.1426E+00
50	6.9950E−02	1.0286E+00	8.2998E−02	4.2784E+00	8.8784E−02	3.6760E+00	9.6013E−02	3.1766E+00
51	6.7876E−02	1.1165E+00	8.0298E−02	4.3243E+00	8.5827E−02	3.7150E+00	9.2748E−02	3.2101E+00
52	6.5908E−02	1.2039E+00	7.7733E−02	4.3696E+00	8.3019E−02	3.7534E+00	8.9651E−02	3.2430E+00
53	6.4041E−02	1.2907E+00	7.5293E−02	4.4142E+00	8.0350E−02	3.7912E+00	8.6710E−02	3.2754E+00
54	6.2268E−02	1.3770E+00	7.2970E−02	4.4583E+00	7.7811E−02	3.8285E+00	8.3913E−02	3.3073E+00
55	6.0584E−02	1.4628E+00	7.0757E−02	4.5017E+00	7.5394E−02	3.8652E+00	8.1254E−02	3.3387E+00
56	5.8984E−02	1.5482E+00	6.8646E−02	4.5445E+00	7.3091E−02	3.9014E+00	7.8721E−02	3.3696E+00
57	5.7464E−02	1.6332E+00	6.6630E−02	4.5868E+00	7.0892E−02	3.9371E+00	7.6306E−02	3.4000E+00
58	5.6020E−02	1.7178E+00	6.4704E−02	4.6285E+00	6.8793E−02	3.9722E+00	7.4001E−02	3.4300E+00
59	5.4649E−02	1.8021E+00	6.2862E−02	4.6697E+00	6.6786E−02	4.0069E+00	7.1800E−02	3.4596E+00
60	5.3347E−02	1.8860E+00	6.1100E−02	4.7104E+00	6.4868E−02	4.0412E+00	6.9698E−02	3.4887E+00

Tb; [Z=65]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.2423E+01	2.9911E−01	1.4568E+01	2.1364E−01	1.5408E+01	1.9105E−01	1.6468E+01	1.7068E−01
1	9.2443E+00	3.9180E−01	1.1121E+01	2.7443E−01	1.1819E+01	2.4443E−01	1.2687E+01	2.1759E−01
2	5.6735E+00	6.0164E−01	7.1565E+00	4.0647E−01	7.6731E+00	3.5946E−01	8.2954E+00	3.1811E−01
3	3.8950E+00	8.0964E−01	5.1101E+00	5.3371E−01	5.5185E+00	4.6972E−01	5.9996E+00	4.1410E−01
4	2.8568E+00	1.0095E+00	3.8769E+00	6.5403E−01	4.2124E+00	5.7366E−01	4.6015E+00	5.0437E−01
5	2.1635E+00	1.2197E+00	3.0200E+00	7.7852E−01	3.2988E+00	6.8084E−01	3.6184E+00	5.9721E−01
6	1.6874E+00	1.4391E+00	2.4041E+00	9.0710E−01	2.6371E+00	7.9125E−01	2.9024E+00	6.9265E−01
7	1.3549E+00	1.6591E+00	1.9556E+00	1.0357E+00	2.1520E+00	9.0155E−01	2.3746E+00	7.8787E−01
8	1.1155E+00	1.8736E+00	1.6225E+00	1.1613E+00	1.7895E+00	1.0092E+00	1.9785E+00	8.8078E−01
9	9.3672E−01	2.0808E+00	1.3686E+00	1.2829E+00	1.5120E+00	1.1135E+00	1.6743E+00	9.7069E−01
10	7.9930E−01	2.2818E+00	1.1701E+00	1.4010E+00	1.2943E+00	1.2146E+00	1.4349E+00	1.0580E+00
11	6.9163E−01	2.4778E+00	1.0118E+00	1.5164E+00	1.1200E+00	1.3136E+00	1.2426E+00	1.1433E+00
12	6.0623E−01	2.6696E+00	8.8363E−01	1.6298E+00	9.7826E−01	1.4108E+00	1.0857E+00	1.2272E+00
13	5.3781E−01	2.8571E+00	7.7864E−01	1.7415E+00	8.6164E−01	1.5067E+00	9.5619E−01	1.3099E+00
14	4.8238E−01	3.0396E+00	6.9186E−01	1.8513E+00	7.6483E−01	1.6011E+00	8.4830E−01	1.3915E+00
15	4.3683E−01	3.2164E+00	6.1951E−01	1.9589E+00	6.8382E−01	1.6938E+00	7.5774E−01	1.4716E+00
16	3.9877E−01	3.3872E+00	5.5867E−01	2.0637E+00	6.1551E−01	1.7843E+00	6.8119E−01	1.5500E+00
17	3.6637E−01	3.5518E+00	5.0703E−01	2.1654E+00	5.5745E−01	1.8722E+00	6.1604E−01	1.6263E+00
18	3.3827E−01	3.7103E+00	4.6275E−01	2.2635E+00	5.0769E−01	1.9571E+00	5.6019E−01	1.7000E+00
19	3.1351E−01	3.8633E+00	4.2441E−01	2.3579E+00	4.6467E−01	2.0389E+00	5.1195E−01	1.7710E+00
20	2.9142E−01	4.0113E+00	3.9088E−01	2.4485E+00	4.2716E−01	2.1173E+00	4.6997E−01	1.8392E+00
21	2.7155E−01	4.1549E+00	3.6130E−01	2.5354E+00	3.9420E−01	2.1925E+00	4.3317E−01	1.9045E+00
22	2.5357E−01	4.2946E+00	3.3502E−01	2.6190E+00	3.6502E−01	2.2647E+00	4.0068E−01	1.9670E+00
23	2.3723E−01	4.4308E+00	3.1152E−01	2.6994E+00	3.3903E−01	2.3339E+00	3.7183E−01	2.0269E+00
24	2.2234E−01	4.5640E+00	2.9039E−01	2.7770E+00	3.1575E−01	2.4006E+00	3.4607E−01	2.0845E+00
25	2.0877E−01	4.6943E+00	2.7131E−01	2.8520E+00	2.9480E−01	2.4648E+00	3.2294E−01	2.1398E+00
26	1.9639E−01	4.8221E+00	2.5403E−01	2.9246E+00	2.7586E−01	2.5269E+00	3.0207E−01	2.1932E+00
27	1.8508E−01	4.9474E+00	2.3831E−01	2.9952E+00	2.5869E−01	2.5870E+00	2.8319E−01	2.2449E+00
28	1.7475E−01	5.0704E+00	2.2401E−01	3.0640E+00	2.4307E−01	2.6455E+00	2.6604E−01	2.2950E+00
29	1.6530E−01	5.1910E+00	2.1097E−01	3.1310E+00	2.2885E−01	2.7025E+00	2.5042E−01	2.3438E+00
30	1.5665E−01	5.3094E+00	1.9905E−01	3.1966E+00	2.1585E−01	2.7582E+00	2.3616E−01	2.3914E+00
31	1.4871E−01	5.4256E+00	1.8814E−01	3.2608E+00	2.0396E−01	2.8126E+00	2.2311E−01	2.4379E+00
32	1.4141E−01	5.5398E+00	1.7814E−01	3.3237E+00	1.9305E−01	2.8659E+00	2.1113E−01	2.4835E+00
33	1.3470E−01	5.6518E+00	1.6895E−01	3.3854E+00	1.8302E−01	2.9183E+00	2.0011E−01	2.5282E+00
34	1.2851E−01	5.7619E+00	1.6050E−01	3.4460E+00	1.7379E−01	2.9697E+00	1.8996E−01	2.5722E+00
35	1.2278E−01	5.8700E+00	1.5272E−01	3.5055E+00	1.6528E−01	3.0202E+00	1.8059E−01	2.6154E+00
36	1.1747E−01	5.9763E+00	1.4553E−01	3.5641E+00	1.5742E−01	3.0699E+00	1.7193E−01	2.6580E+00
37	1.1253E−01	6.0808E+00	1.3889E−01	3.6216E+00	1.5014E−01	3.1188E+00	1.6391E−01	2.6999E+00
38	1.0794E−01	6.1836E+00	1.3273E−01	3.6782E+00	1.4340E−01	3.1670E+00	1.5646E−01	2.7411E+00
39	1.0365E−01	1.6799E−03	1.2701E−01	3.7339E+00	1.3712E−01	3.2144E+00	1.4954E−01	2.7818E+00
40	9.9648E−02	1.0143E−01	1.2169E−01	3.7887E+00	1.3128E−01	3.2611E+00	1.4308E−01	2.8219E+00
41	9.5898E−02	1.9978E−01	1.1672E−01	3.8427E+00	1.2584E−01	3.3070E+00	1.3706E−01	2.8613E+00
42	9.2376E−02	2.9682E−01	1.1209E−01	3.8958E+00	1.2075E−01	3.3523E+00	1.3143E−01	2.9002E+00
43	8.9065E−02	3.9266E−01	1.0775E−01	3.9481E+00	1.1599E−01	3.3969E+00	1.2616E−01	2.9385E+00
44	8.5950E−02	4.8737E−01	1.0369E−01	3.9995E+00	1.1152E−01	3.4408E+00	1.2121E−01	2.9763E+00
45	8.3015E−02	5.8103E−01	9.9865E−02	4.0503E+00	1.0732E−01	3.4840E+00	1.1657E−01	3.0134E+00
46	8.0247E−02	6.7370E−01	9.6265E−02	4.1002E+00	1.0337E−01	3.5266E+00	1.1219E−01	3.0500E+00
47	7.7631E−02	7.6548E−01	9.2872E−02	4.1494E+00	9.9645E−02	3.5685E+00	1.0807E−01	3.0861E+00
48	7.5156E−02	8.5644E−01	8.9668E−02	4.1979E+00	9.6130E−02	3.6098E+00	1.0418E−01	3.1216E+00
49	7.2812E−02	9.4666E−01	8.6638E−02	4.2457E+00	9.2809E−02	3.6505E+00	1.0051E−01	3.1565E+00
50	7.0592E−02	1.0362E+00	8.3768E−02	4.2928E+00	8.9664E−02	3.6906E+00	9.7036E−02	3.1909E+00
51	6.8487E−02	1.1250E+00	8.1046E−02	4.3393E+00	8.6681E−02	3.7301E+00	9.3742E−02	3.2248E+00
52	6.6491E−02	1.2133E+00	7.8459E−02	4.3851E+00	8.3850E−02	3.7690E+00	9.0617E−02	3.2582E+00
53	6.4596E−02	1.3010E+00	7.6000E−02	4.4303E+00	8.1158E−02	3.8073E+00	8.7648E−02	3.2910E+00
54	6.2796E−02	1.3882E+00	7.3659E−02	4.4749E+00	7.8598E−02	3.8451E+00	8.4826E−02	3.3234E+00
55	6.1086E−02	1.4750E+00	7.1429E−02	4.5188E+00	7.6163E−02	3.8823E+00	8.2144E−02	3.3552E+00
56	5.9461E−02	1.5613E+00	6.9302E−02	4.5622E+00	7.3841E−02	3.9190E+00	7.9590E−02	3.3866E+00
57	5.7918E−02	1.6473E+00	6.7272E−02	4.6051E+00	7.1626E−02	3.9552E+00	7.7153E−02	3.4175E+00
58	5.6451E−02	1.7329E+00	6.5332E−02	4.6474E+00	6.9509E−02	3.9908E+00	7.4827E−02	3.4479E+00
59	5.5058E−02	1.8181E+00	6.3477E−02	4.6892E+00	6.7487E−02	4.0261E+00	7.2607E−02	3.4779E+00
60	5.3734E−02	1.9031E+00	6.1702E−02	4.7304E+00	6.5554E−02	4.0608E+00	7.0485E−02	3.5075E+00

Dy; [Z=66]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.2127E+01	3.0077E−01	1.4241E+01	2.1597E−01	1.5068E+01	1.9340E−01	1.6111E+01	1.7300E−01
1	9.0699E+00	3.9231E−01	1.0926E+01	2.7626E−01	1.1617E+01	2.4639E−01	1.2474E+01	2.1960E−01
2	5.5957E+00	6.0041E−01	7.0691E+00	4.0768E−01	7.5833E+00	3.6098E−01	8.2021E+00	3.1980E−01
3	3.8535E+00	8.0732E−01	5.0649E+00	5.3461E−01	5.4728E+00	4.7104E−01	5.9531E+00	4.1567E−01
4	2.8359E+00	1.0051E+00	3.8565E+00	6.5406E−01	4.1931E+00	5.7429E−01	4.5830E+00	5.0539E−01
5	2.1536E+00	1.2128E+00	3.0141E+00	7.7738E−01	3.2947E+00	6.8052E−01	3.6163E+00	5.9745E−01
6	1.6823E+00	1.4303E+00	2.4052E+00	9.0502E−01	2.6406E+00	7.9018E−01	2.9083E+00	6.9228E−01
7	1.3520E+00	1.6494E+00	1.9596E+00	1.0332E+00	2.1584E+00	9.0016E−01	2.3837E+00	7.8727E−01
8	1.1137E+00	1.8638E+00	1.6275E+00	1.1589E+00	1.7969E+00	1.0079E+00	1.9885E+00	8.8027E−01
9	9.3574E−01	2.0714E+00	1.3739E+00	1.2808E+00	1.5196E+00	1.1125E+00	1.6842E+00	9.7049E−01
10	7.9892E−01	2.2728E+00	1.1755E+00	1.3993E+00	1.3017E+00	1.2141E+00	1.4445E+00	1.0581E+00
11	6.9160E−01	2.4693E+00	1.0171E+00	1.5151E+00	1.1272E+00	1.3134E+00	1.2518E+00	1.1438E+00
12	6.0635E−01	2.6615E+00	8.8873E−01	1.6289E+00	9.8510E−01	1.4110E+00	1.0944E+00	1.2280E+00
13	5.3796E−01	2.8496E+00	7.8347E−01	1.7410E+00	8.6809E−01	1.5072E+00	9.6439E−01	1.3111E+00
14	4.8252E−01	3.0328E+00	6.9636E−01	1.8513E+00	7.7084E−01	1.6020E+00	8.5593E−01	1.3930E+00
15	4.3697E−01	3.2107E+00	6.2369E−01	1.9595E+00	6.8938E−01	1.6952E+00	7.6479E−01	1.4736E+00
16	3.9897E−01	3.3826E+00	5.6255E−01	2.0650E+00	6.2064E−01	1.7864E+00	6.8769E−01	1.5526E+00
17	3.6667E−01	3.5484E+00	5.1064E−01	2.1676E+00	5.6218E−01	1.8751E+00	6.2200E−01	1.6296E+00
18	3.3872E−01	3.7083E+00	4.6614E−01	2.2667E+00	5.1207E−01	1.9609E+00	5.6567E−01	1.7042E+00
19	3.1413E−01	3.8627E+00	4.2762E−01	2.3623E+00	4.6875E−01	2.0438E+00	5.1700E−01	1.7762E+00
20	2.9223E−01	4.0121E+00	3.9395E−01	2.4541E+00	4.3098E−01	2.1234E+00	4.7464E−01	1.8454E+00
21	2.7253E−01	4.1570E+00	3.6425E−01	2.5424E+00	3.9779E−01	2.1998E+00	4.3750E−01	1.9118E+00
22	2.5469E−01	4.2979E+00	3.3787E−01	2.6272E+00	3.6842E−01	2.2731E+00	4.0473E−01	1.9755E+00
23	2.3848E−01	4.4353E+00	3.1428E−01	2.7089E+00	3.4226E−01	2.3436E+00	3.7562E−01	2.0365E+00
24	2.2369E−01	4.5696E+00	2.9307E−01	2.7877E+00	3.1883E−01	2.4114E+00	3.4962E−01	2.0952E+00
25	2.1018E−01	4.7011E+00	2.7390E−01	2.8639E+00	2.9773E−01	2.4768E+00	3.2628E−01	2.1516E+00
26	1.9784E−01	4.8300E+00	2.5652E−01	2.9376E+00	2.7865E−01	2.5399E+00	3.0523E−01	2.2060E+00
27	1.8655E−01	4.9565E+00	2.4071E−01	3.0092E+00	2.6134E−01	2.6011E+00	2.8617E−01	2.2585E+00
28	1.7622E−01	5.0807E+00	2.2631E−01	3.0789E+00	2.4560E−01	2.6605E+00	2.6885E−01	2.3095E+00
29	1.6676E−01	5.2025E+00	2.1316E−01	3.1469E+00	2.3124E−01	2.7183E+00	2.5308E−01	2.3591E+00
30	1.5808E−01	5.3222E+00	2.0114E−01	3.2133E+00	2.1812E−01	2.7747E+00	2.3867E−01	2.4074E+00
31	1.5010E−01	5.4396E+00	1.9012E−01	3.2783E+00	2.0610E−01	2.8299E+00	2.2548E−01	2.4546E+00
32	1.4277E−01	5.5550E+00	1.8001E−01	3.3419E+00	1.9508E−01	2.8839E+00	2.1337E−01	2.5007E+00
33	1.3602E−01	5.6684E+00	1.7072E−01	3.4044E+00	1.8494E−01	2.9368E+00	2.0223E−01	2.5460E+00
34	1.2978E−01	5.7797E+00	1.6217E−01	3.4657E+00	1.7560E−01	2.9888E+00	1.9197E−01	2.5904E+00
35	1.2401E−01	5.8891E+00	1.5428E−01	3.5259E+00	1.6699E−01	3.0399E+00	1.8250E−01	2.6341E+00
36	1.1865E−01	5.9966E+00	1.4701E−01	3.5850E+00	1.5903E−01	3.0901E+00	1.7374E−01	2.6771E+00
37	1.1367E−01	6.1023E+00	1.4028E−01	3.6432E+00	1.5167E−01	3.1395E+00	1.6562E−01	2.7194E+00
38	1.0903E−01	6.2064E+00	1.3404E−01	3.7004E+00	1.4484E−01	3.1881E+00	1.5809E−01	2.7610E+00
39	1.0470E−01	2.5636E−02	1.2825E−01	3.7567E+00	1.3849E−01	3.2360E+00	1.5108E−01	2.8021E+00
40	1.0066E−01	1.2655E−01	1.2285E−01	3.8121E+00	1.3258E−01	3.2832E+00	1.4455E−01	2.8425E+00
41	9.6865E−02	2.2604E−01	1.1783E−01	3.8666E+00	1.2707E−01	3.3296E+00	1.3846E−01	2.8824E+00
42	9.3303E−02	3.2419E−01	1.1314E−01	3.9202E+00	1.2192E−01	3.3753E+00	1.3277E−01	2.9216E+00
43	8.9953E−02	4.2111E−01	1.0875E−01	3.9731E+00	1.1710E−01	3.4203E+00	1.2745E−01	2.9603E+00
44	8.6800E−02	5.1686E−01	1.0464E−01	4.0251E+00	1.1259E−01	3.4647E+00	1.2245E−01	2.9985E+00
45	8.3829E−02	6.1152E−01	1.0077E−01	4.0764E+00	1.0835E−01	3.5084E+00	1.1776E−01	3.0360E+00
46	8.1024E−02	7.0518E−01	9.7137E−02	4.1269E+00	1.0436E−01	3.5514E+00	1.1334E−01	3.0730E+00
47	7.8374E−02	7.9791E−01	9.3709E−02	4.1766E+00	1.0059E−01	3.5938E+00	1.0917E−01	3.1095E+00
48	7.5865E−02	8.8981E−01	9.0474E−02	4.2257E+00	9.7047E−02	3.6356E+00	1.0525E−01	3.1453E+00
49	7.3489E−02	9.8094E−01	8.7416E−02	4.2740E+00	9.3695E−02	3.6768E+00	1.0154E−01	3.1807E+00
50	7.1237E−02	1.0713E+00	8.4520E−02	4.3216E+00	9.0522E−02	3.7173E+00	9.8035E−02	3.2155E+00
51	6.9101E−02	1.1611E+00	8.1774E−02	4.3686E+00	8.7514E−02	3.7573E+00	9.4712E−02	3.2498E+00
52	6.7075E−02	1.2502E+00	7.9166E−02	4.4150E+00	8.4658E−02	3.7966E+00	9.1558E−02	3.2836E+00
53	6.5151E−02	1.3388E+00	7.6687E−02	4.4607E+00	8.1945E−02	3.8354E+00	8.8564E−02	3.3169E+00
54	6.3323E−02	1.4269E+00	7.4329E−02	4.5059E+00	7.9365E−02	3.8737E+00	8.5718E−02	3.3497E+00
55	6.1586E−02	1.5145E+00	7.2082E−02	4.5504E+00	7.6910E−02	3.9114E+00	8.3012E−02	3.3820E+00
56	5.9936E−02	1.6018E+00	6.9939E−02	4.5943E+00	7.4570E−02	3.9486E+00	8.0436E−02	3.4138E+00
57	5.8367E−02	1.6887E+00	6.7894E−02	4.6377E+00	7.2338E−02	3.9853E+00	7.7979E−02	3.4451E+00
58	5.6876E−02	1.7751E+00	6.5940E−02	4.6806E+00	7.0206E−02	4.0215E+00	7.5633E−02	3.4760E+00
59	5.5459E−02	1.8613E+00	6.4073E−02	4.7229E+00	6.8168E−02	4.0571E+00	7.3394E−02	3.5064E+00
60	5.4114E−02	1.9473E+00	6.2286E−02	4.7647E+00	6.6220E−02	4.0924E+00	7.1254E−02	3.5365E+00

Ho; [Z=67]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.1843E+01	3.0231E−01	1.3925E+01	2.1822E−01	1.4740E+01	1.9568E−01	1.5766E+01	1.7525E−01
1	8.9007E+00	3.9271E−01	1.0735E+01	2.7799E−01	1.1419E+01	2.4826E−01	1.2266E+01	2.2153E−01
2	5.5189E+00	5.9908E−01	6.9821E+00	4.0879E−01	7.4936E+00	3.6241E−01	8.1088E+00	3.2141E−01
3	3.8117E+00	8.0493E−01	5.0185E+00	5.3543E−01	5.4258E+00	4.7229E−01	5.9051E+00	4.1718E−01
4	2.8141E+00	1.0009E+00	3.8344E+00	6.5407E−01	4.1716E+00	5.7490E−01	4.5622E+00	5.0639E−01
5	2.1428E+00	1.2061E+00	3.0064E+00	7.7624E−01	3.2887E+00	6.8020E−01	3.6120E+00	5.9770E−01
6	1.6766E+00	1.4215E+00	2.4048E+00	9.0291E−01	2.6423E+00	7.8908E−01	2.9124E+00	6.9190E−01
7	1.3485E+00	1.6395E+00	1.9625E+00	1.0306E+00	2.1636E+00	8.9867E−01	2.3913E+00	7.8658E−01
8	1.1114E+00	1.8537E+00	1.6317E+00	1.1562E+00	1.8033E+00	1.0064E+00	1.9974E+00	8.7961E−01
9	9.3435E−01	2.0615E+00	1.3786E+00	1.2784E+00	1.5264E+00	1.1112E+00	1.6933E+00	9.7007E−01
10	7.9816E−01	2.2633E+00	1.1803E+00	1.3973E+00	1.3086E+00	1.2132E+00	1.4534E+00	1.0580E+00
11	6.9125E−01	2.4601E+00	1.0219E+00	1.5135E+00	1.1338E+00	1.3128E+00	1.2604E+00	1.1440E+00
12	6.0619E−01	2.6527E+00	8.9342E−01	1.6276E+00	9.9150E−01	1.4107E+00	1.1027E+00	1.2285E+00
13	5.3787E−01	2.8412E+00	7.8795E−01	1.7400E+00	8.7416E−01	1.5073E+00	9.7218E−01	1.3119E+00
14	4.8244E−01	3.0252E+00	7.0058E−01	1.8507E+00	7.7654E−01	1.6025E+00	8.6323E−01	1.3942E+00
15	4.3691E−01	3.2039E+00	6.2763E−01	1.9594E+00	6.9468E−01	1.6961E+00	7.7157E−01	1.4752E+00
16	3.9896E−01	3.3770E+00	5.6621E−01	2.0657E+00	6.2555E−01	1.7878E+00	6.9395E−01	1.5547E+00
17	3.6676E−01	3.5440E+00	5.1406E−01	2.1690E+00	5.6673E−01	1.8773E+00	6.2778E−01	1.6323E+00
18	3.3896E−01	3.7052E+00	4.6936E−01	2.2692E+00	5.1629E−01	1.9640E+00	5.7100E−01	1.7077E+00
19	3.1455E−01	3.8609E+00	4.3067E−01	2.3658E+00	4.7268E−01	2.0478E+00	5.2192E−01	1.7806E+00
20	2.9283E−01	4.0115E+00	3.9687E−01	2.4588E+00	4.3467E−01	2.1286E+00	4.7920E−01	1.8508E+00
21	2.7330E−01	4.1576E+00	3.6708E−01	2.5483E+00	4.0128E−01	2.2061E+00	4.4174E−01	1.9183E+00
22	2.5562E−01	4.2998E+00	3.4061E−01	2.6344E+00	3.7173E−01	2.2807E+00	4.0869E−01	1.9830E+00
23	2.3954E−01	4.4384E+00	3.1694E−01	2.7173E+00	3.4541E−01	2.3523E+00	3.7934E−01	2.0452E+00
24	2.2486E−01	4.5738E+00	2.9566E−01	2.7973E+00	3.2183E−01	2.4213E+00	3.5312E−01	2.1050E+00
25	2.1144E−01	4.7064E+00	2.7641E−01	2.8746E+00	3.0059E−01	2.4877E+00	3.2958E−01	2.1624E+00
26	1.9915E−01	4.8365E+00	2.5896E−01	2.9494E+00	2.8139E−01	2.5519E+00	3.0835E−01	2.2178E+00
27	1.8789E−01	4.9640E+00	2.4306E−01	3.0220E+00	2.6395E−01	2.6141E+00	2.8912E−01	2.2713E+00
28	1.7758E−01	5.0893E+00	2.2857E−01	3.0927E+00	2.4809E−01	2.6744E+00	2.7164E−01	2.3231E+00
29	1.6812E−01	5.2123E+00	2.1532E−01	3.1616E+00	2.3361E−01	2.7331E+00	2.5572E−01	2.3735E+00
30	1.5942E−01	5.3331E+00	2.0320E−01	3.2289E+00	2.2037E−01	2.7903E+00	2.4117E−01	2.4225E+00
31	1.5143E−01	5.4518E+00	1.9209E−01	3.2947E+00	2.0824E−01	2.8462E+00	2.2785E−01	2.4703E+00
32	1.4407E−01	5.5684E+00	1.8188E−01	3.3591E+00	1.9710E−01	2.9008E+00	2.1561E−01	2.5171E+00
33	1.3728E−01	5.6830E+00	1.7249E−01	3.4223E+00	1.8685E−01	2.9544E+00	2.0435E−01	2.5629E+00
34	1.3101E−01	5.7955E+00	1.6384E−01	3.4842E+00	1.7741E−01	3.0070E+00	1.9398E−01	2.6079E+00
35	1.2520E−01	5.9062E+00	1.5586E−01	3.5451E+00	1.6870E−01	3.0587E+00	1.8440E−01	2.6520E+00
36	1.1981E−01	6.0149E+00	1.4850E−01	3.6049E+00	1.6065E−01	3.1094E+00	1.7554E−01	2.6955E+00
37	1.1479E−01	6.1219E+00	1.4168E−01	3.6637E+00	1.5319E−01	3.1593E+00	1.6733E−01	2.7382E+00
38	1.1012E−01	6.2272E+00	1.3536E−01	3.7215E+00	1.4628E−01	3.2085E+00	1.5971E−01	2.7803E+00
39	1.0575E−01	4.7612E−02	1.2950E−01	3.7784E+00	1.3986E−01	3.2568E+00	1.5263E−01	2.8217E+00
40	1.0167E−01	1.4970E−01	1.2404E−01	3.8344E+00	1.3388E−01	3.3044E+00	1.4602E−01	2.8625E+00
41	9.7836E−02	2.5032E−01	1.1895E−01	3.8894E+00	1.2830E−01	3.3513E+00	1.3986E−01	2.9027E+00
42	9.4238E−02	3.4959E−01	1.1420E−01	3.9437E+00	1.2309E−01	3.3975E+00	1.3411E−01	2.9424E+00
43	9.0852E−02	4.4758E−01	1.0976E−01	3.9970E+00	1.1823E−01	3.4430E+00	1.2873E−01	2.9815E+00
44	8.7663E−02	5.4438E−01	1.0560E−01	4.0496E+00	1.1366E−01	3.4878E+00	1.2368E−01	3.0200E+00
45	8.4657E−02	6.4007E−01	1.0169E−01	4.1014E+00	1.0937E−01	3.5319E+00	1.1893E−01	3.0579E+00
46	8.1818E−02	7.3471E−01	9.8011E−02	4.1525E+00	1.0534E−01	3.5754E+00	1.1447E−01	3.0953E+00
47	7.9134E−02	8.2841E−01	9.4547E−02	4.2028E+00	1.0154E−01	3.6183E+00	1.1027E−01	3.1321E+00
48	7.6592E−02	9.2125E−01	9.1279E−02	4.2524E+00	9.7957E−02	3.6605E+00	1.0630E−01	3.1684E+00
49	7.4183E−02	1.0133E+00	8.8191E−02	4.3012E+00	9.4573E−02	3.7021E+00	1.0256E−01	3.2042E+00
50	7.1900E−02	1.1046E+00	8.5268E−02	4.3494E+00	9.1371E−02	3.7431E+00	9.9022E−02	3.2394E+00
51	6.9733E−02	1.1952E+00	8.2497E−02	4.3969E+00	8.8336E−02	3.7836E+00	9.5667E−02	3.2741E+00
52	6.7677E−02	1.2852E+00	7.9867E−02	4.4438E+00	8.5456E−02	3.8234E+00	9.2486E−02	3.3083E+00
53	6.5723E−02	1.3747E+00	7.7368E−02	4.4901E+00	8.2720E−02	3.8627E+00	8.9465E−02	3.3420E+00
54	6.3867E−02	1.4636E+00	7.4990E−02	4.5358E+00	8.0120E−02	3.9014E+00	8.6595E−02	3.3752E+00
55	6.2101E−02	1.5521E+00	7.2725E−02	4.5808E+00	7.7645E−02	3.9396E+00	8.3866E−02	3.4079E+00
56	6.0424E−02	1.6402E+00	7.0567E−02	4.6253E+00	7.5287E−02	3.9773E+00	8.1267E−02	3.4402E+00
57	5.8828E−02	1.7280E+00	6.8506E−02	4.6692E+00	7.3037E−02	4.0144E+00	7.8789E−02	3.4719E+00
58	5.7312E−02	1.8154E+00	6.6538E−02	4.7126E+00	7.0888E−02	4.0511E+00	7.6424E−02	3.5032E+00
59	5.5870E−02	1.9025E+00	6.4657E−02	4.7555E+00	6.8836E−02	4.0873E+00	7.4166E−02	3.5341E+00
60	5.4501E−02	1.9894E+00	6.2857E−02	4.7978E+00	6.6873E−02	4.1230E+00	7.2008E−02	3.5646E+00

Er; [Z=68]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.1570E+01	3.0375E−01	1.3621E+01	2.2038E−01	1.4424E+01	1.9788E−01	1.5433E+01	1.7744E−01
1	8.7366E+00	3.9302E−01	1.0549E+01	2.7965E−01	1.1226E+01	2.5007E−01	1.2063E+01	2.2341E−01
2	5.4435E+00	5.9766E−01	6.8956E+00	4.0981E−01	7.4044E+00	3.6376E−01	8.0159E+00	3.2296E−01
3	3.7698E+00	8.0248E−01	4.9713E+00	5.3618E−01	5.3778E+00	4.7348E−01	5.8558E+00	4.1865E−01
4	2.7917E+00	9.9659E−01	3.8108E+00	6.5405E−01	4.1485E+00	5.7549E−01	4.5394E+00	5.0738E−01
5	2.1312E+00	1.1994E+00	2.9971E+00	7.7510E−01	3.2809E+00	6.7989E−01	3.6056E+00	5.9795E−01
6	1.6703E+00	1.4127E+00	2.4031E+00	9.0078E−01	2.6426E+00	7.8797E−01	2.9147E+00	6.9150E−01
7	1.3445E+00	1.6294E+00	1.9642E+00	1.0279E+00	2.1676E+00	8.9711E−01	2.3976E+00	7.8583E−01
8	1.1088E+00	1.8433E+00	1.6350E+00	1.1534E+00	1.8089E+00	1.0048E+00	2.0052E+00	8.7882E−01
9	9.3259E−01	2.0512E+00	1.3825E+00	1.2758E+00	1.5324E+00	1.1098E+00	1.7016E+00	9.6945E−01
10	7.9707E−01	2.2533E+00	1.1846E+00	1.3950E+00	1.3147E+00	1.2120E+00	1.4617E+00	1.0577E+00
11	6.9059E−01	2.4504E+00	1.0263E+00	1.5115E+00	1.1400E+00	1.3119E+00	1.2685E+00	1.1440E+00
12	6.0578E−01	2.6433E+00	8.9771E−01	1.6259E+00	9.9747E−01	1.4102E+00	1.1105E+00	1.2288E+00
13	5.3756E−01	2.8323E+00	7.9209E−01	1.7387E+00	8.7987E−01	1.5070E+00	9.7958E−01	1.3124E+00
14	4.8216E−01	3.0168E+00	7.0452E−01	1.8497E+00	7.8193E−01	1.6025E+00	8.7020E−01	1.3950E+00
15	4.3666E−01	3.1964E+00	6.3132E−01	1.9589E+00	6.9973E−01	1.6966E+00	7.7808E−01	1.4763E+00
16	3.9876E−01	3.3703E+00	5.6967E−01	2.0657E+00	6.3025E−01	1.7888E+00	7.0000E−01	1.5563E+00
17	3.6667E−01	3.5385E+00	5.1729E−01	2.1699E+00	5.7109E−01	1.8789E+00	6.3338E−01	1.6345E+00
18	3.3900E−01	3.7009E+00	4.7241E−01	2.2709E+00	5.2035E−01	1.9665E+00	5.7617E−01	1.7106E+00
19	3.1476E−01	3.8578E+00	4.3357E−01	2.3685E+00	4.7648E−01	2.0512E+00	5.2670E−01	1.7844E+00
20	2.9322E−01	4.0097E+00	3.9965E−01	2.4626E+00	4.3824E−01	2.1329E+00	4.8364E−01	1.8555E+00
21	2.7387E−01	4.1571E+00	3.6977E−01	2.5533E+00	4.0465E−01	2.2116E+00	4.4589E−01	1.9240E+00
22	2.5636E−01	4.3004E+00	3.4323E−01	2.6405E+00	3.7493E−01	2.2873E+00	4.1257E−01	1.9898E+00
23	2.4042E−01	4.4401E+00	3.1949E−01	2.7246E+00	3.4846E−01	2.3601E+00	3.8299E−01	2.0531E+00
24	2.2586E−01	4.5766E+00	2.9815E−01	2.8058E+00	3.2475E−01	2.4302E+00	3.5656E−01	2.1139E+00
25	2.1253E−01	4.7103E+00	2.7884E−01	2.8842E+00	3.0340E−01	2.4977E+00	3.3283E−01	2.1724E+00
26	2.0031E−01	4.8414E+00	2.6132E−01	2.9601E+00	2.8407E−01	2.5629E+00	3.1142E−01	2.2287E+00
27	1.8911E−01	4.9701E+00	2.4535E−01	3.0338E+00	2.6652E−01	2.6260E+00	2.9203E−01	2.2832E+00
28	1.7882E−01	5.0964E+00	2.3078E−01	3.1054E+00	2.5054E−01	2.6873E+00	2.7441E−01	2.3359E+00
29	1.6937E−01	5.2205E+00	2.1745E−01	3.1752E+00	2.3595E−01	2.7468E+00	2.5834E−01	2.3870E+00
30	1.6068E−01	5.3425E+00	2.0524E−01	3.2433E+00	2.2261E−01	2.8049E+00	2.4366E−01	2.4368E+00
31	1.5268E−01	5.4623E+00	1.9404E−01	3.3099E+00	2.1036E−01	2.8615E+00	2.3020E−01	2.4853E+00
32	1.4531E−01	5.5801E+00	1.8374E−01	3.3751E+00	1.9912E−01	2.9169E+00	2.1785E−01	2.5327E+00
33	1.3850E−01	5.6958E+00	1.7425E−01	3.4390E+00	1.8876E−01	2.9711E+00	2.0647E−01	2.5791E+00
34	1.3220E−01	5.8096E+00	1.6551E−01	3.5017E+00	1.7922E−01	3.0243E+00	1.9599E−01	2.6246E+00
35	1.2636E−01	5.9215E+00	1.5744E−01	3.5633E+00	1.7041E−01	3.0765E+00	1.8630E−01	2.6693E+00
36	1.2094E−01	6.0314E+00	1.4999E−01	3.6237E+00	1.6227E−01	3.1279E+00	1.7734E−01	2.7132E+00
37	1.1589E−01	6.1396E+00	1.4310E−01	3.6832E+00	1.5473E−01	3.1783E+00	1.6904E−01	2.7563E+00
38	1.1118E−01	6.2461E+00	1.3670E−01	3.7416E+00	1.4774E−01	3.2279E+00	1.6134E−01	2.7988E+00
39	1.0678E−01	6.7708E−02	1.3076E−01	3.7991E+00	1.4123E−01	3.2768E+00	1.5417E−01	2.8407E+00
40	1.0267E−01	1.7095E−01	1.2523E−01	3.8556E+00	1.3518E−01	3.3249E+00	1.4749E−01	2.8819E+00
41	9.8806E−02	2.7272E−01	1.2008E−01	3.9113E+00	1.2954E−01	3.3722E+00	1.4127E−01	2.9225E+00
42	9.5175E−02	3.7310E−01	1.1527E−01	3.9661E+00	1.2427E−01	3.4189E+00	1.3545E−01	2.9625E+00
43	9.1757E−02	4.7217E−01	1.1078E−01	4.0200E+00	1.1935E−01	3.4648E+00	1.3000E−01	3.0019E+00
44	8.8536E−02	5.7003E−01	1.0656E−01	4.0731E+00	1.1473E−01	3.5101E+00	1.2490E−01	3.0408E+00
45	8.5496E−02	6.6673E−01	1.0261E−01	4.1255E+00	1.1040E−01	3.5547E+00	1.2011E−01	3.0791E+00
46	8.2625E−02	7.6238E−01	9.8890E−02	4.1771E+00	1.0632E−01	3.5986E+00	1.1560E−01	3.1169E+00
47	7.9909E−02	8.5704E−01	9.5388E−02	4.2279E+00	1.0248E−01	3.6419E+00	1.1135E−01	3.1541E+00
48	7.7335E−02	9.5082E−01	9.2086E−02	4.2780E+00	9.8862E−02	3.6846E+00	1.0735E−01	3.1908E+00
49	7.4895E−02	1.0438E+00	8.8966E−02	4.3274E+00	9.5445E−02	3.7267E+00	1.0357E−01	3.2269E+00
50	7.2580E−02	1.1360E+00	8.6014E−02	4.3761E+00	9.2213E−02	3.7681E+00	9.9996E−02	3.2626E+00
51	7.0383E−02	1.2275E+00	8.3218E−02	4.4242E+00	8.9150E−02	3.8090E+00	9.6611E−02	3.2977E+00
52	6.8296E−02	1.3184E+00	8.0563E−02	4.4716E+00	8.6245E−02	3.8493E+00	9.3401E−02	3.3323E+00
53	6.6313E−02	1.4087E+00	7.8042E−02	4.5184E+00	8.3486E−02	3.8891E+00	9.0354E−02	3.3664E+00
54	6.4427E−02	1.4985E+00	7.5645E−02	4.5646E+00	8.0863E−02	3.9283E+00	8.7458E−02	3.4000E+00
55	6.2633E−02	1.5878E+00	7.3362E−02	4.6102E+00	7.8368E−02	3.9669E+00	8.4706E−02	3.4331E+00
56	6.0927E−02	1.6768E+00	7.1186E−02	4.6552E+00	7.5991E−02	4.0051E+00	8.2085E−02	3.4658E+00
57	5.9304E−02	1.7654E+00	6.9109E−02	4.6996E+00	7.3724E−02	4.0427E+00	7.9586E−02	3.4980E+00
58	5.7760E−02	1.8537E+00	6.7127E−02	4.7436E+00	7.1559E−02	4.0798E+00	7.7202E−02	3.5297E+00
59	5.6292E−02	1.9417E+00	6.5232E−02	4.7870E+00	6.9491E−02	4.1164E+00	7.4925E−02	3.5610E+00
60	5.4896E−02	2.0294E+00	6.3419E−02	4.8298E+00	6.7513E−02	4.1526E+00	7.2749E−02	3.5919E+00

Tm; [Z=69]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.1308E+01	3.0510E−01	1.3328E+01	2.2247E−01	1.4119E+01	2.0003E−01	1.5112E+01	1.7958E−01
1	8.5773E+00	3.9326E−01	1.0368E+01	2.8123E−01	1.1037E+01	2.5182E−01	1.1865E+01	2.2523E−01
2	5.3695E+00	5.9615E−01	6.8101E+00	4.1075E−01	7.3160E+00	3.6504E−01	7.9236E+00	3.2444E−01
3	3.7281E+00	7.9997E−01	4.9235E+00	5.3686E−01	5.3290E+00	4.7461E−01	5.8056E+00	4.2005E−01
4	2.7687E+00	9.9236E−01	3.7859E+00	6.5402E−01	4.1238E+00	5.7606E−01	4.5149E+00	5.0835E−01
5	2.1192E+00	1.1928E+00	2.9865E+00	7.7397E−01	3.2714E+00	6.7958E−01	3.5974E+00	5.9821E−01
6	1.6635E+00	1.4039E+00	2.4002E+00	8.9865E−01	2.6415E+00	7.8685E−01	2.9155E+00	6.9110E−01
7	1.3402E+00	1.6193E+00	1.9651E+00	1.0252E+00	2.1704E+00	8.9550E−01	2.4026E+00	7.8503E−01
8	1.1058E+00	1.8326E+00	1.6375E+00	1.1504E+00	1.8135E+00	1.0030E+00	2.0120E+00	8.7792E−01
9	9.3051E−01	2.0406E+00	1.3859E+00	1.2729E+00	1.5378E+00	1.1081E+00	1.7091E+00	9.6868E−01
10	7.9567E−01	2.2429E+00	1.1883E+00	1.3924E+00	1.3204E+00	1.2106E+00	1.4693E+00	1.0572E+00
11	6.8966E−01	2.4402E+00	1.0302E+00	1.5092E+00	1.1456E+00	1.3108E+00	1.2760E+00	1.1437E+00
12	6.0513E−01	2.6334E+00	9.0161E−01	1.6239E+00	1.0030E+00	1.4093E+00	1.1178E+00	1.2287E+00
13	5.3704E−01	2.8227E+00	7.9590E−01	1.7369E+00	8.8522E−01	1.5064E+00	9.8658E−01	1.3126E+00
14	4.8170E−01	3.0078E+00	7.0817E−01	1.8483E+00	7.8702E−01	1.6022E+00	8.7683E−01	1.3954E+00
15	4.3624E−01	3.1880E+00	6.3477E−01	1.9579E+00	7.0452E−01	1.6966E+00	7.8432E−01	1.4771E+00
16	3.9840E−01	3.3629E+00	5.7291E−01	2.0653E+00	6.3473E−01	1.7893E+00	7.0581E−01	1.5575E+00
17	3.6640E−01	3.5321E+00	5.2034E−01	2.1701E+00	5.7527E−01	1.8800E+00	6.3877E−01	1.6363E+00
18	3.3887E−01	3.6957E+00	4.7529E−01	2.2719E+00	5.2425E−01	1.9683E+00	5.8117E−01	1.7131E+00
19	3.1479E−01	3.8538E+00	4.3631E−01	2.3705E+00	4.8013E−01	2.0539E+00	5.3135E−01	1.7875E+00
20	2.9343E−01	4.0068E+00	4.0229E−01	2.4656E+00	4.4167E−01	2.1366E+00	4.8797E−01	1.8596E+00
21	2.7426E−01	4.1553E+00	3.7232E−01	2.5574E+00	4.0790E−01	2.2163E+00	4.4993E−01	1.9290E+00
22	2.5691E−01	4.2998E+00	3.4572E−01	2.6458E+00	3.7803E−01	2.2931E+00	4.1636E−01	1.9958E+00
23	2.4113E−01	4.4406E+00	3.2193E−01	2.7310E+00	3.5143E−01	2.3669E+00	3.8655E−01	2.0601E+00
24	2.2670E−01	4.5782E+00	3.0053E−01	2.8133E+00	3.2759E−01	2.4381E+00	3.5993E−01	2.1220E+00
25	2.1347E−01	4.7129E+00	2.8118E−01	2.8928E+00	3.0612E−01	2.5067E+00	3.3602E−01	2.1815E+00
26	2.0134E−01	4.8450E+00	2.6360E−01	2.9697E+00	2.8669E−01	2.5730E+00	3.1445E−01	2.2388E+00
27	1.9019E−01	4.9747E+00	2.4758E−01	3.0444E+00	2.6904E−01	2.6371E+00	2.9491E−01	2.2942E+00
28	1.7995E−01	5.1021E+00	2.3294E−01	3.1170E+00	2.5296E−01	2.6992E+00	2.7714E−01	2.3477E+00
29	1.7052E−01	5.2273E+00	2.1954E−01	3.1877E+00	2.3827E−01	2.7597E+00	2.6094E−01	2.3997E+00
30	1.6185E−01	5.3503E+00	2.0725E−01	3.2567E+00	2.2481E−01	2.8185E+00	2.4613E−01	2.4502E+00
31	1.5385E−01	5.4712E+00	1.9597E−01	3.3242E+00	2.1247E−01	2.8759E+00	2.3255E−01	2.4995E+00
32	1.4647E−01	5.5901E+00	1.8558E−01	3.3902E+00	2.0112E−01	2.9320E+00	2.2007E−01	2.5475E+00
33	1.3965E−01	5.7070E+00	1.7601E−01	3.4548E+00	1.9067E−01	2.9869E+00	2.0858E−01	2.5945E+00
34	1.3334E−01	5.8220E+00	1.6718E−01	3.5182E+00	1.8103E−01	3.0408E+00	1.9799E−01	2.6406E+00
35	1.2748E−01	5.9350E+00	1.5903E−01	3.5804E+00	1.7213E−01	3.0936E+00	1.8820E−01	2.6858E+00
36	1.2203E−01	6.0462E+00	1.5149E−01	3.6416E+00	1.6390E−01	3.1454E+00	1.7915E−01	2.7301E+00
37	1.1696E−01	6.1556E+00	1.4452E−01	3.7016E+00	1.5627E−01	3.1964E+00	1.7076E−01	2.7738E+00
38	1.1223E−01	6.2632E+00	1.3804E−01	3.7607E+00	1.4920E−01	3.2466E+00	1.6296E−01	2.8167E+00
39	1.0780E−01	8.6016E−02	1.3203E−01	3.8187E+00	1.4262E−01	3.2959E+00	1.5572E−01	2.8589E+00
40	1.0366E−01	1.9042E−01	1.2643E−01	3.8759E+00	1.3649E−01	3.3445E+00	1.4897E−01	2.9006E+00
41	9.9769E−02	2.9331E−01	1.2122E−01	3.9321E+00	1.3079E−01	3.3923E+00	1.4267E−01	2.9416E+00
42	9.6110E−02	3.9480E−01	1.1635E−01	3.9875E+00	1.2546E−01	3.4394E+00	1.3678E−01	2.9820E+00
43	9.2663E−02	4.9496E−01	1.1180E−01	4.0420E+00	1.2047E−01	3.4858E+00	1.3128E−01	3.0218E+00
44	8.9412E−02	5.9386E−01	1.0754E−01	4.0957E+00	1.1581E−01	3.5315E+00	1.2612E−01	3.0610E+00
45	8.6344E−02	6.9160E−01	1.0353E−01	4.1486E+00	1.1142E−01	3.5766E+00	1.2127E−01	3.0997E+00
46	8.3443E−02	7.8825E−01	9.9774E−02	4.2007E+00	1.0730E−01	3.6210E+00	1.1672E−01	3.1379E+00
47	8.0696E−02	8.8388E−01	9.6233E−02	4.2521E+00	1.0342E−01	3.6648E+00	1.1243E−01	3.1755E+00
48	7.8093E−02	9.7861E−01	9.2895E−02	4.3027E+00	9.9765E−02	3.7079E+00	1.0839E−01	3.2125E+00
49	7.5623E−02	1.0725E+00	8.9743E−02	4.3527E+00	9.6314E−02	3.7504E+00	1.0457E−01	3.2490E+00
50	7.3278E−02	1.1656E+00	8.6761E−02	4.4019E+00	9.3050E−02	3.7923E+00	1.0096E−01	3.2850E+00
51	7.1051E−02	1.2580E+00	8.3937E−02	4.4505E+00	8.9958E−02	3.8336E+00	9.7545E−02	3.3205E+00
52	6.8934E−02	1.3497E+00	8.1258E−02	4.4984E+00	8.7027E−02	3.8744E+00	9.4305E−02	3.3556E+00
53	6.6921E−02	1.4409E+00	7.8713E−02	4.5458E+00	8.4243E−02	3.9146E+00	9.1231E−02	3.3900E+00
54	6.5005E−02	1.5315E+00	7.6295E−02	4.5925E+00	8.1598E−02	3.9543E+00	8.8310E−02	3.4241E+00
55	6.3182E−02	1.6217E+00	7.3992E−02	4.6385E+00	7.9082E−02	3.9934E+00	8.5533E−02	3.4576E+00
56	6.1447E−02	1.7115E+00	7.1798E−02	4.6841E+00	7.6686E−02	4.0319E+00	8.2890E−02	3.4907E+00
57	5.9795E−02	1.8009E+00	6.9706E−02	4.7290E+00	7.4401E−02	4.0700E+00	8.0370E−02	3.5233E+00
58	5.8223E−02	1.8901E+00	6.7707E−02	4.7735E+00	7.2219E−02	4.1076E+00	7.7966E−02	3.5554E+00
59	5.6727E−02	1.9790E+00	6.5798E−02	4.8174E+00	7.0134E−02	4.1447E+00	7.5670E−02	3.5871E+00
60	5.5304E−02	2.0676E+00	6.3972E−02	4.8608E+00	6.8142E−02	4.1814E+00	7.3477E−02	3.6184E+00

Yb; [Z=70]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.1055E+01	3.0638E−01	1.3045E+01	2.2449E−01	1.3824E+01	2.0212E−01	1.4801E+01	1.8168E−01
1	8.4228E+00	3.9343E−01	1.0191E+01	2.8274E−01	1.0853E+01	2.5350E−01	1.1671E+01	2.2700E−01
2	5.2969E+00	5.9457E−01	6.7255E+00	4.1161E−01	7.2284E+00	3.6625E−01	7.8321E+00	3.2586E−01
3	3.6866E+00	7.9742E−01	4.8754E+00	5.3748E−01	5.2797E+00	4.7568E−01	5.7547E+00	4.2141E−01
4	2.7454E+00	9.8816E−01	3.7599E+00	6.5395E−01	4.0980E+00	5.7660E−01	4.4890E+00	5.0930E−01
5	2.1066E+00	1.1863E+00	2.9746E+00	7.7286E−01	3.2606E+00	6.7927E−01	3.5876E+00	5.9847E−01
6	1.6563E+00	1.3952E+00	2.3962E+00	8.9653E−01	2.6391E+00	7.8573E−01	2.9147E+00	6.9069E−01
7	1.3356E+00	1.6092E+00	1.9650E+00	1.0224E+00	2.1723E+00	8.9384E−01	2.4064E+00	7.8420E−01
8	1.1025E+00	1.8219E+00	1.6393E+00	1.1474E+00	1.8172E+00	1.0012E+00	2.0179E+00	8.7694E−01
9	9.2815E−01	2.0297E+00	1.3886E+00	1.2699E+00	1.5424E+00	1.1063E+00	1.7157E+00	9.6777E−01
10	7.9400E−01	2.2321E+00	1.1915E+00	1.3895E+00	1.3254E+00	1.2090E+00	1.4763E+00	1.0564E+00
11	6.8849E−01	2.4297E+00	1.0336E+00	1.5066E+00	1.1508E+00	1.3095E+00	1.2830E+00	1.1432E+00
12	6.0426E−01	2.6231E+00	9.0512E−01	1.6216E+00	1.0081E+00	1.4082E+00	1.1246E+00	1.2285E+00
13	5.3634E−01	2.8126E+00	7.9938E−01	1.7349E+00	8.9021E−01	1.5055E+00	9.9320E−01	1.3126E+00
14	4.8108E−01	2.9981E+00	7.1154E−01	1.8465E+00	7.9181E−01	1.6016E+00	8.8314E−01	1.3956E+00
15	4.3567E−01	3.1790E+00	6.3798E−01	1.9565E+00	7.0905E−01	1.6963E+00	7.9027E−01	1.4776E+00
16	3.9789E−01	3.3547E+00	5.7594E−01	2.0643E+00	6.3898E−01	1.7895E+00	7.1139E−01	1.5584E+00
17	3.6597E−01	3.5249E+00	5.2320E−01	2.1697E+00	5.7926E−01	1.8807E+00	6.4398E−01	1.6376E+00
18	3.3857E−01	3.6895E+00	4.7800E−01	2.2723E+00	5.2798E−01	1.9696E+00	5.8602E−01	1.7150E+00
19	3.1464E−01	3.8487E+00	4.3890E−01	2.3718E+00	4.8363E−01	2.0560E+00	5.3586E−01	1.7902E+00
20	2.9346E−01	4.0029E+00	4.0478E−01	2.4679E+00	4.4498E−01	2.1396E+00	4.9217E−01	1.8630E+00
21	2.7446E−01	4.1526E+00	3.7474E−01	2.5607E+00	4.1104E−01	2.2203E+00	4.5386E−01	1.9334E+00
22	2.5729E−01	4.2981E+00	3.4808E−01	2.6502E+00	3.8102E−01	2.2980E+00	4.2006E−01	2.0012E+00
23	2.4166E−01	4.4399E+00	3.2425E−01	2.7365E+00	3.5429E−01	2.3730E+00	3.9004E−01	2.0664E+00
24	2.2737E−01	4.5785E+00	3.0282E−01	2.8198E+00	3.3035E−01	2.4452E+00	3.6323E−01	2.1293E+00
25	2.1426E−01	4.7143E+00	2.8343E−01	2.9004E+00	3.0877E−01	2.5148E+00	3.3915E−01	2.1897E+00
26	2.0222E−01	4.8474E+00	2.6581E−01	2.9784E+00	2.8925E−01	2.5821E+00	3.1742E−01	2.2480E+00
27	1.9114E−01	4.9780E+00	2.4973E−01	3.0541E+00	2.7150E−01	2.6472E+00	2.9773E−01	2.3043E+00
28	1.8095E−01	5.1064E+00	2.3504E−01	3.1276E+00	2.5533E−01	2.7103E+00	2.7983E−01	2.3588E+00
29	1.7156E−01	5.2326E+00	2.2158E−01	3.1992E+00	2.4054E−01	2.7716E+00	2.6350E−01	2.4116E+00
30	1.6291E−01	5.3567E+00	2.0923E−01	3.2691E+00	2.2700E−01	2.8312E+00	2.4857E−01	2.4629E+00
31	1.5493E−01	5.4787E+00	1.9787E−01	3.3374E+00	2.1456E−01	2.8894E+00	2.3487E−01	2.5129E+00
32	1.4755E−01	5.5987E+00	1.8740E−01	3.4041E+00	2.0311E−01	2.9462E+00	2.2228E−01	2.5616E+00
33	1.4073E−01	5.7167E+00	1.7775E−01	3.4695E+00	1.9257E−01	3.0018E+00	2.1068E−01	2.6092E+00
34	1.3441E−01	5.8328E+00	1.6885E−01	3.5337E+00	1.8284E−01	3.0563E+00	1.9999E−01	2.6558E+00
35	1.2854E−01	5.9470E+00	1.6062E−01	3.5966E+00	1.7385E−01	3.1097E+00	1.9010E−01	2.7016E+00
36	1.2308E−01	6.0593E+00	1.5300E−01	3.6584E+00	1.6553E−01	3.1622E+00	1.8095E−01	2.7464E+00
37	1.1799E−01	6.1699E+00	1.4595E−01	3.7191E+00	1.5782E−01	3.2137E+00	1.7247E−01	2.7905E+00
38	1.1324E−01	6.2787E+00	1.3940E−01	3.7787E+00	1.5066E−01	3.2644E+00	1.6459E−01	2.8339E+00
39	1.0880E−01	1.0263E−01	1.3331E−01	3.8374E+00	1.4401E−01	3.3143E+00	1.5726E−01	2.8766E+00
40	1.0463E−01	2.0817E−01	1.2765E−01	3.8952E+00	1.3781E−01	3.3633E+00	1.5044E−01	2.9186E+00
41	1.0072E−01	3.1219E−01	1.2237E−01	3.9520E+00	1.3204E−01	3.4116E+00	1.4407E−01	2.9600E+00
42	9.7036E−02	4.1477E−01	1.1744E−01	4.0080E+00	1.2665E−01	3.4592E+00	1.3812E−01	3.0008E+00
43	9.3565E−02	5.1601E−01	1.1284E−01	4.0630E+00	1.2161E−01	3.5061E+00	1.3255E−01	3.0410E+00
44	9.0290E−02	6.1597E−01	1.0852E−01	4.1173E+00	1.1688E−01	3.5522E+00	1.2734E−01	3.0806E+00
45	8.7195E−02	7.1474E−01	1.0447E−01	4.1707E+00	1.1245E−01	3.5977E+00	1.2244E−01	3.1197E+00
46	8.4267E−02	8.1238E−01	1.0067E−01	4.2234E+00	1.0828E−01	3.6426E+00	1.1784E−01	3.1582E+00
47	8.1493E−02	9.0899E−01	9.7085E−02	4.2753E+00	1.0436E−01	3.6868E+00	1.1350E−01	3.1962E+00
48	7.8862E−02	1.0047E+00	9.3709E−02	4.3265E+00	1.0067E−01	3.7304E+00	1.0942E−01	3.2336E+00
49	7.6364E−02	1.0995E+00	9.0523E−02	4.3769E+00	9.7180E−02	3.7733E+00	1.0556E−01	3.2705E+00
50	7.3991E−02	1.1935E+00	8.7510E−02	4.4267E+00	9.3884E−02	3.8157E+00	1.0192E−01	3.3069E+00
51	7.1735E−02	1.2867E+00	8.4657E−02	4.4758E+00	9.0762E−02	3.8575E+00	9.8470E−02	3.3428E+00
52	6.9589E−02	1.3793E+00	8.1951E−02	4.5243E+00	8.7803E−02	3.8987E+00	9.5200E−02	3.3781E+00
53	6.7547E−02	1.4713E+00	7.9383E−02	4.5721E+00	8.4995E−02	3.9393E+00	9.2098E−02	3.4130E+00
54	6.5602E−02	1.5628E+00	7.6942E−02	4.6193E+00	8.2326E−02	3.9794E+00	8.9151E−02	3.4474E+00
55	6.3749E−02	1.6538E+00	7.4620E−02	4.6659E+00	7.9789E−02	4.0190E+00	8.6350E−02	3.4814E+00
56	6.1985E−02	1.7444E+00	7.2407E−02	4.7119E+00	7.7372E−02	4.0580E+00	8.3684E−02	3.5148E+00
57	6.0304E−02	1.8347E+00	7.0296E−02	4.7574E+00	7.5068E−02	4.0965E+00	8.1143E−02	3.5478E+00
58	5.8702E−02	1.9247E+00	6.8282E−02	4.8024E+00	7.2869E−02	4.1346E+00	7.8718E−02	3.5804E+00
59	5.7178E−02	2.0144E+00	6.6358E−02	4.8468E+00	7.0768E−02	4.1721E+00	7.6404E−02	3.6125E+00
60	5.5727E−02	2.1039E+00	6.4517E−02	4.8907E+00	6.8761E−02	4.2092E+00	7.4193E−02	3.6442E+00

Lu; [Z=71]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.0943E+01	3.1759E−01	1.2941E+01	2.3177E−01	1.3721E+01	2.0859E−01	1.4697E+01	1.8747E−01
1	8.5956E+00	3.9524E−01	1.0394E+01	2.8379E−01	1.1070E+01	2.5451E−01	1.1905E+01	2.2797E−01
2	5.4783E+00	5.8749E−01	6.9420E+00	4.0753E−01	7.4594E+00	3.6289E−01	8.0814E+00	3.2310E−01
3	3.7447E+00	8.0077E−01	4.9509E+00	5.4004E−01	5.3623E+00	4.7814E−01	5.8458E+00	4.2377E−01
4	2.7567E+00	1.0028E+00	3.7768E+00	6.6330E−01	4.1179E+00	5.8494E−01	4.5126E+00	5.1678E−01
5	2.1084E+00	1.2058E+00	2.9786E+00	7.8527E−01	3.2664E+00	6.9028E−01	3.5956E+00	6.0829E−01
6	1.6571E+00	1.4161E+00	2.3990E+00	9.0994E−01	2.6436E+00	7.9764E−01	2.9212E+00	7.0133E−01
7	1.3362E+00	1.6305E+00	1.9682E+00	1.0362E+00	2.1771E+00	9.0619E−01	2.4132E+00	7.9524E−01
8	1.1031E+00	1.8436E+00	1.6427E+00	1.1618E+00	1.8222E+00	1.0140E+00	2.0246E+00	8.8843E−01
9	9.2889E−01	2.0521E+00	1.3920E+00	1.2849E+00	1.5473E+00	1.1197E+00	1.7223E+00	9.7976E−01
10	7.9486E−01	2.2551E+00	1.1950E+00	1.4051E+00	1.3303E+00	1.2228E+00	1.4828E+00	1.0689E+00
11	6.8939E−01	2.4530E+00	1.0372E+00	1.5225E+00	1.1557E+00	1.3237E+00	1.2894E+00	1.1560E+00
12	6.0507E−01	2.6465E+00	9.0872E−01	1.6377E+00	1.0130E+00	1.4226E+00	1.1309E+00	1.2414E+00
13	5.3695E−01	2.8361E+00	8.0292E−01	1.7510E+00	8.9498E−01	1.5200E+00	9.9934E−01	1.3256E+00
14	4.8145E−01	3.0218E+00	7.1494E−01	1.8628E+00	7.9641E−01	1.6161E+00	8.8908E−01	1.4087E+00
15	4.3582E−01	3.2030E+00	6.4120E−01	1.9728E+00	7.1344E−01	1.7109E+00	7.9595E−01	1.4908E+00
16	3.9788E−01	3.3794E+00	5.7895E−01	2.0809E+00	6.4312E−01	1.8043E+00	7.1675E−01	1.5717E+00
17	3.6588E−01	3.5504E+00	5.2601E−01	2.1867E+00	5.8312E−01	1.8958E+00	6.4901E−01	1.6512E+00
18	3.3846E−01	3.7160E+00	4.8062E−01	2.2898E+00	5.3159E−01	1.9852E+00	5.9071E−01	1.7290E+00
19	3.1460E−01	3.8763E+00	4.4138E−01	2.3900E+00	4.8701E−01	2.0722E+00	5.4023E−01	1.8048E+00
20	2.9353E−01	4.0315E+00	4.0715E−01	2.4869E+00	4.4817E−01	2.1566E+00	4.9625E−01	1.8783E+00
21	2.7467E−01	4.1822E+00	3.7704E−01	2.5807E+00	4.1406E−01	2.2381E+00	4.5769E−01	1.9495E+00
22	2.5764E−01	4.3287E+00	3.5033E−01	2.6712E+00	3.8390E−01	2.3169E+00	4.2365E−01	2.0182E+00
23	2.4215E−01	4.4716E+00	3.2647E−01	2.7585E+00	3.5706E−01	2.3928E+00	3.9343E−01	2.0844E+00
24	2.2799E−01	4.6112E+00	3.0500E−01	2.8429E+00	3.3301E−01	2.4660E+00	3.6644E−01	2.1482E+00
25	2.1499E−01	4.7478E+00	2.8558E−01	2.9245E+00	3.1135E−01	2.5367E+00	3.4220E−01	2.2096E+00
26	2.0304E−01	4.8818E+00	2.6793E−01	3.0035E+00	2.9173E−01	2.6050E+00	3.2033E−01	2.2689E+00
27	1.9204E−01	5.0134E+00	2.5183E−01	3.0802E+00	2.7391E−01	2.6710E+00	3.0051E−01	2.3261E+00
28	1.8190E−01	5.1427E+00	2.3710E−01	3.1547E+00	2.5765E−01	2.7350E+00	2.8248E−01	2.3815E+00
29	1.7255E−01	5.2699E+00	2.2358E−01	3.2272E+00	2.4278E−01	2.7972E+00	2.6603E−01	2.4351E+00
30	1.6393E−01	5.3949E+00	2.1117E−01	3.2979E+00	2.2915E−01	2.8577E+00	2.5098E−01	2.4872E+00
31	1.5596E−01	5.5179E+00	1.9974E−01	3.3670E+00	2.1662E−01	2.9167E+00	2.3717E−01	2.5379E+00
32	1.4859E−01	5.6390E+00	1.8921E−01	3.4345E+00	2.0509E−01	2.9742E+00	2.2447E−01	2.5873E+00
33	1.4177E−01	5.7581E+00	1.7949E−01	3.5007E+00	1.9446E−01	3.0305E+00	2.1277E−01	2.6356E+00
34	1.3545E−01	5.8752E+00	1.7051E−01	3.5655E+00	1.8464E−01	3.0856E+00	2.0197E−01	2.6828E+00
35	1.2957E−01	5.9905E+00	1.6220E−01	3.6291E+00	1.7556E−01	3.1397E+00	1.9199E−01	2.7290E+00
36	1.2410E−01	6.1040E+00	1.5451E−01	3.6916E+00	1.6716E−01	3.1927E+00	1.8275E−01	2.7744E+00
37	1.1900E−01	6.2156E+00	1.4738E−01	3.7529E+00	1.5936E−01	3.2448E+00	1.7417E−01	2.8190E+00
38	1.1423E−01	4.2364E−02	1.4075E−01	3.8132E+00	1.5213E−01	3.2960E+00	1.6621E−01	2.8628E+00
39	1.0977E−01	1.5062E−01	1.3460E−01	3.8725E+00	1.4540E−01	3.3464E+00	1.5880E−01	2.9059E+00
40	1.0559E−01	2.5726E−01	1.2887E−01	3.9309E+00	1.3913E−01	3.3959E+00	1.5190E−01	2.9483E+00
41	1.0165E−01	3.6238E−01	1.2352E−01	3.9883E+00	1.3329E−01	3.4447E+00	1.4546E−01	2.9901E+00
42	9.7950E−02	4.6604E−01	1.1854E−01	4.0448E+00	1.2784E−01	3.4927E+00	1.3945E−01	3.0313E+00
43	9.4458E−02	5.6833E−01	1.1387E−01	4.1004E+00	1.2273E−01	3.5401E+00	1.3382E−01	3.0719E+00
44	9.1160E−02	6.6932E−01	1.0950E−01	4.1552E+00	1.1796E−01	3.5867E+00	1.2855E−01	3.1119E+00
45	8.8042E−02	7.6908E−01	1.0541E−01	4.2092E+00	1.1347E−01	3.6326E+00	1.2360E−01	3.1513E+00
46	8.5089E−02	8.6771E−01	1.0156E−01	4.2624E+00	1.0926E−01	3.6779E+00	1.1894E−01	3.1902E+00
47	8.2290E−02	9.6528E−01	9.7934E−02	4.3148E+00	1.0530E−01	3.7225E+00	1.1456E−01	3.2285E+00
48	7.9633E−02	1.0619E+00	9.4520E−02	4.3665E+00	1.0156E−01	3.7666E+00	1.1044E−01	3.2663E+00
49	7.7109E−02	1.1576E+00	9.1298E−02	4.4175E+00	9.8038E−02	3.8100E+00	1.0654E−01	3.3036E+00
50	7.4709E−02	1.2524E+00	8.8253E−02	4.4678E+00	9.4707E−02	3.8527E+00	1.0286E−01	3.3403E+00
51	7.2425E−02	1.3465E+00	8.5370E−02	4.5174E+00	9.1555E−02	3.8949E+00	9.9380E−02	3.3766E+00
52	7.0251E−02	1.4400E+00	8.2637E−02	4.5664E+00	8.8568E−02	3.9366E+00	9.6080E−02	3.4123E+00
53	6.8180E−02	1.5328E+00	8.0044E−02	4.6147E+00	8.5733E−02	3.9777E+00	9.2949E−02	3.4476E+00
54	6.6206E−02	1.6251E+00	7.7580E−02	4.6624E+00	8.3041E−02	4.0182E+00	8.9976E−02	3.4824E+00
55	6.4324E−02	1.7169E+00	7.5236E−02	4.7095E+00	8.0481E−02	4.0582E+00	8.7150E−02	3.5167E+00
56	6.2530E−02	1.8083E+00	7.3004E−02	4.7561E+00	7.8044E−02	4.0977E+00	8.4461E−02	3.5506E+00
57	6.0819E−02	1.8993E+00	7.0876E−02	4.8020E+00	7.5721E−02	4.1366E+00	8.1898E−02	3.5840E+00
58	5.9188E−02	1.9901E+00	6.8845E−02	4.8475E+00	7.3504E−02	4.1751E+00	7.9454E−02	3.6169E+00
59	5.7634E−02	2.0806E+00	6.6905E−02	4.8924E+00	7.1387E−02	4.2131E+00	7.7121E−02	3.6494E+00
60	5.6154E−02	2.1709E+00	6.5050E−02	4.9368E+00	6.9364E−02	4.2506E+00	7.4892E−02	3.6815E+00

Hf; [Z=72]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.0603E+01	3.3167E−01	1.2587E+01	2.4153E−01	1.3356E+01	2.1737E−01	1.4316E+01	1.9538E−01
1	8.5530E+00	4.0215E−01	1.0359E+01	2.8874E−01	1.1037E+01	2.5904E−01	1.1875E+01	2.3212E−01
2	5.5915E+00	5.8256E−01	7.0794E+00	4.0530E−01	7.6076E+00	3.6123E−01	8.2428E+00	3.2187E−01
3	3.8068E+00	7.9686E−01	5.0313E+00	5.3889E−01	5.4508E+00	4.7751E−01	5.9438E+00	4.2350E−01
4	2.7788E+00	1.0066E+00	3.8079E+00	6.6705E−01	4.1536E+00	5.8857E−01	4.5536E+00	5.2024E−01
5	2.1162E+00	1.2155E+00	2.9904E+00	7.9273E−01	3.2813E+00	6.9714E−01	3.6138E+00	6.1455E−01
6	1.6607E+00	1.4288E+00	2.4050E+00	9.1954E−01	2.6519E+00	8.0637E−01	2.9320E+00	7.0922E−01
7	1.3384E+00	1.6447E+00	1.9724E+00	1.0472E+00	2.1833E+00	9.1609E−01	2.4215E+00	8.0416E−01
8	1.1046E+00	1.8590E+00	1.6463E+00	1.1738E+00	1.8276E+00	1.0248E+00	2.0319E+00	8.9816E−01
9	9.3006E−01	2.0684E+00	1.3954E+00	1.2978E+00	1.5524E+00	1.1313E+00	1.7291E+00	9.9019E−01
10	7.9575E−01	2.2721E+00	1.1983E+00	1.4188E+00	1.3351E+00	1.2351E+00	1.4891E+00	1.0799E+00
11	6.8963E−01	2.4704E+00	1.0400E+00	1.5367E+00	1.1599E+00	1.3364E+00	1.2950E+00	1.1674E+00
12	6.0517E−01	2.6642E+00	9.1187E−01	1.6522E+00	1.0175E+00	1.4356E+00	1.1367E+00	1.2531E+00
13	5.3685E−01	2.8540E+00	8.0629E−01	1.7658E+00	8.9967E−01	1.5331E+00	1.0053E+00	1.3374E+00
14	4.8099E−01	3.0401E+00	7.1829E−01	1.8776E+00	8.0104E−01	1.6293E+00	8.9498E−01	1.4205E+00
15	4.3504E−01	3.2220E+00	6.4446E−01	1.9877E+00	7.1793E−01	1.7241E+00	8.0166E−01	1.5026E+00
16	3.9687E−01	3.3992E+00	5.8208E−01	2.0959E+00	6.4742E−01	1.8175E+00	7.2222E−01	1.5836E+00
17	3.6475E−01	3.5715E+00	5.2899E−01	2.2020E+00	5.8721E−01	1.9093E+00	6.5419E−01	1.6632E+00
18	3.3734E−01	3.7386E+00	4.8348E−01	2.3056E+00	5.3547E−01	1.9990E+00	5.9559E−01	1.7413E+00
19	3.1358E−01	3.9004E+00	4.4413E−01	2.4063E+00	4.9069E−01	2.0865E+00	5.4482E−01	1.8175E+00
20	2.9268E−01	4.0574E+00	4.0984E−01	2.5041E+00	4.5166E−01	2.1715E+00	5.0057E−01	1.8916E+00
21	2.7406E−01	4.2097E+00	3.7969E−01	2.5986E+00	4.1741E−01	2.2538E+00	4.6176E−01	1.9634E+00
22	2.5729E−01	4.3578E+00	3.5296E−01	2.6900E+00	3.8713E−01	2.3333E+00	4.2750E−01	2.0329E+00
23	2.4207E−01	4.5021E+00	3.2908E−01	2.7783E+00	3.6018E−01	2.4102E+00	3.9708E−01	2.0999E+00
24	2.2817E−01	4.6431E+00	3.0761E−01	2.8636E+00	3.3603E−01	2.4843E+00	3.6992E−01	2.1645E+00
25	2.1543E−01	4.7811E+00	2.8818E−01	2.9461E+00	3.1428E−01	2.5558E+00	3.4552E−01	2.2269E+00
26	2.0372E−01	4.9164E+00	2.7052E−01	3.0259E+00	2.9459E−01	2.6249E+00	3.2351E−01	2.2870E+00
27	1.9294E−01	5.0491E+00	2.5440E−01	3.1034E+00	2.7668E−01	2.6918E+00	3.0355E−01	2.3450E+00
28	1.8300E−01	5.1794E+00	2.3964E−01	3.1787E+00	2.6035E−01	2.7566E+00	2.8540E−01	2.4011E+00
29	1.7383E−01	5.3075E+00	2.2609E−01	3.2519E+00	2.4539E−01	2.8195E+00	2.6882E−01	2.4555E+00
30	1.6536E−01	5.4335E+00	2.1362E−01	3.3233E+00	2.3167E−01	2.8807E+00	2.5365E−01	2.5083E+00
31	1.5753E−01	5.5573E+00	2.0213E−01	3.3929E+00	2.1905E−01	2.9403E+00	2.3972E−01	2.5596E+00
32	1.5028E−01	5.6790E+00	1.9152E−01	3.4610E+00	2.0743E−01	2.9984E+00	2.2691E−01	2.6096E+00
33	1.4355E−01	5.7987E+00	1.8173E−01	3.5277E+00	1.9670E−01	3.0552E+00	2.1509E−01	2.6584E+00
34	1.3731E−01	5.9164E+00	1.7266E−01	3.5930E+00	1.8678E−01	3.1108E+00	2.0418E−01	2.7061E+00
35	1.3149E−01	6.0321E+00	1.6427E−01	3.6570E+00	1.7761E−01	3.1653E+00	1.9410E−01	2.7528E+00
36	1.2606E−01	6.1459E+00	1.5649E−01	3.7198E+00	1.6910E−01	3.2187E+00	1.8475E−01	2.7985E+00
37	1.2099E−01	6.2579E+00	1.4926E−01	3.7815E+00	1.6121E−01	3.2712E+00	1.7607E−01	2.8435E+00
38	1.1623E−01	6.3680E+00	1.4255E−01	3.8422E+00	1.5388E−01	3.3227E+00	1.6801E−01	2.8876E+00
39	1.1176E−01	6.4764E+00	1.3630E−01	3.9018E+00	1.4706E−01	3.3734E+00	1.6051E−01	2.9310E+00
40	1.0756E−01	6.5831E+00	1.3048E−01	3.9604E+00	1.4070E−01	3.4232E+00	1.5352E−01	2.9737E+00
41	1.0359E−01	6.6882E+00	1.2505E−01	4.0181E+00	1.3477E−01	3.4723E+00	1.4699E−01	3.0158E+00
42	9.9844E−02	6.7918E+00	1.1998E−01	4.0749E+00	1.2924E−01	3.5206E+00	1.4090E−01	3.0572E+00
43	9.6296E−02	6.8939E+00	1.1523E−01	4.1308E+00	1.2405E−01	3.5682E+00	1.3519E−01	3.0980E+00
44	9.2931E−02	6.9948E+00	1.1079E−01	4.1858E+00	1.1920E−01	3.6150E+00	1.2984E−01	3.1383E+00
45	8.9736E−02	7.0944E+00	1.0661E−01	4.2400E+00	1.1464E−01	3.6612E+00	1.2483E−01	3.1779E+00
46	8.6697E−02	7.1929E+00	1.0269E−01	4.2935E+00	1.1037E−01	3.7067E+00	1.2011E−01	3.2170E+00
47	8.3804E−02	7.2903E+00	9.8996E−02	4.3461E+00	1.0634E−01	3.7516E+00	1.1567E−01	3.2556E+00
48	8.1047E−02	7.3867E+00	9.5515E−02	4.3981E+00	1.0254E−01	3.7959E+00	1.1148E−01	3.2936E+00
49	7.8417E−02	7.4823E+00	9.2229E−02	4.4493E+00	9.8959E−02	3.8395E+00	1.0754E−01	3.3311E+00
50	7.5906E−02	7.5771E+00	8.9122E−02	4.4998E+00	9.5574E−02	3.8826E+00	1.0380E−01	3.3681E+00
51	7.3508E−02	7.6712E+00	8.6181E−02	4.5497E+00	9.2370E−02	3.9250E+00	1.0027E−01	3.4046E+00
52	7.1216E−02	7.7646E+00	8.3393E−02	4.5989E+00	8.9335E−02	3.9669E+00	9.6929E−02	3.4406E+00
53	6.9025E−02	7.8576E+00	8.0747E−02	4.6475E+00	8.6455E−02	4.0083E+00	9.3756E−02	3.4761E+00
54	6.6931E−02	7.9501E+00	7.8232E−02	4.6954E+00	8.3719E−02	4.0490E+00	9.0743E−02	3.5112E+00
55	6.4928E−02	8.0422E+00	7.5840E−02	4.7428E+00	8.1117E−02	4.0893E+00	8.7879E−02	3.5457E+00
56	6.3014E−02	8.1340E+00	7.3561E−02	4.7897E+00	7.8640E−02	4.1291E+00	8.5153E−02	3.5799E+00
57	6.1185E−02	8.2257E+00	7.1388E−02	4.8360E+00	7.6280E−02	4.1684E+00	8.2556E−02	3.6135E+00
58	5.9437E−02	8.3172E+00	6.9314E−02	4.8817E+00	7.4028E−02	4.2071E+00	8.0080E−02	3.6468E+00
59	5.7770E−02	8.4086E+00	6.7333E−02	4.9270E+00	7.1877E−02	4.2455E+00	7.7716E−02	3.6796E+00
60	5.6180E−02	8.5000E+00	6.5440E−02	4.9717E+00	6.9822E−02	4.2833E+00	7.5458E−02	3.7119E+00

Ta; [Z=73]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.0252E+01	3.4524E−01	1.2220E+01	2.5112E−01	1.2978E+01	2.2603E−01	1.3921E+01	2.0321E−01
1	8.4411E+00	4.1045E−01	1.0249E+01	2.9477E−01	1.0927E+01	2.6456E−01	1.1761E+01	2.3716E−01
2	5.6583E+00	5.8029E−01	7.1658E+00	4.0479E−01	7.7018E+00	3.6107E−01	8.3465E+00	3.2197E−01
3	3.8629E+00	7.9165E−01	5.1069E+00	5.3696E−01	5.5339E+00	4.7621E−01	6.0357E+00	4.2267E−01
4	2.8046E+00	1.0060E+00	3.8463E+00	6.6807E−01	4.1971E+00	5.8988E−01	4.6029E+00	5.2172E−01
5	2.1272E+00	1.2204E+00	3.0086E+00	7.9718E−01	3.3027E+00	7.0144E−01	3.6390E+00	6.1865E−01
6	1.6661E+00	1.4377E+00	2.4145E+00	9.2656E−01	2.6637E+00	8.1291E−01	2.9466E+00	7.1529E−01
7	1.3417E+00	1.6565E+00	1.9784E+00	1.0560E+00	2.1911E+00	9.2425E−01	2.4315E+00	8.1166E−01
8	1.1071E+00	1.8728E+00	1.6507E+00	1.1841E+00	1.8335E+00	1.0343E+00	2.0396E+00	9.0679E−01
9	9.3225E−01	2.0837E+00	1.3991E+00	1.3093E+00	1.5574E+00	1.1418E+00	1.7356E+00	9.9974E−01
10	7.9782E−01	2.2883E+00	1.2018E+00	1.4311E+00	1.3397E+00	1.2464E+00	1.4951E+00	1.0901E+00
11	6.9154E−01	2.4871E+00	1.0434E+00	1.5497E+00	1.1644E+00	1.3482E+00	1.3008E+00	1.1781E+00
12	6.0684E−01	2.6812E+00	9.1521E−01	1.6656E+00	1.0219E+00	1.4477E+00	1.1424E+00	1.2641E+00
13	5.3819E−01	2.8711E+00	8.0957E−01	1.7792E+00	9.0400E−01	1.5454E+00	1.0109E+00	1.3486E+00
14	4.8195E−01	3.0572E+00	7.2144E−01	1.8911E+00	8.0525E−01	1.6416E+00	9.0037E−01	1.4318E+00
15	4.3563E−01	3.2393E+00	6.4743E−01	2.0012E+00	7.2197E−01	1.7364E+00	8.0686E−01	1.5138E+00
16	3.9714E−01	3.4170E+00	5.8486E−01	2.1095E+00	6.5124E−01	1.8299E+00	7.2718E−01	1.5948E+00
17	3.6480E−01	3.5900E+00	5.3158E−01	2.2159E+00	5.9081E−01	1.9218E+00	6.5888E−01	1.6746E+00
18	3.3726E−01	3.7579E+00	4.8588E−01	2.3198E+00	5.3883E−01	2.0119E+00	6.0000E−01	1.7529E+00
19	3.1346E−01	3.9207E+00	4.4640E−01	2.4211E+00	4.9384E−01	2.0998E+00	5.4895E−01	1.8295E+00
20	2.9258E−01	4.0786E+00	4.1199E−01	2.5195E+00	4.5464E−01	2.1854E+00	5.0444E−01	1.9042E+00
21	2.7403E−01	4.2320E+00	3.8176E−01	2.6148E+00	4.2023E−01	2.2684E+00	4.6539E−01	1.9767E+00
22	2.5736E−01	4.3811E+00	3.5498E−01	2.7071E+00	3.8982E−01	2.3488E+00	4.3093E−01	2.0469E+00
23	2.4225E−01	4.5265E+00	3.3108E−01	2.7963E+00	3.6276E−01	2.4265E+00	4.0033E−01	2.1147E+00
24	2.2846E−01	4.6685E+00	3.0959E−01	2.8826E+00	3.3853E−01	2.5015E+00	3.7300E−01	2.1803E+00
25	2.1583E−01	4.8074E+00	2.9015E−01	2.9661E+00	3.1671E−01	2.5740E+00	3.4846E−01	2.2435E+00
26	2.0422E−01	4.9436E+00	2.7248E−01	3.0469E+00	2.9695E−01	2.6441E+00	3.2632E−01	2.3045E+00
27	1.9352E−01	5.0772E+00	2.5635E−01	3.1253E+00	2.7898E−01	2.7119E+00	3.0624E−01	2.3635E+00
28	1.8365E−01	5.2085E+00	2.4157E−01	3.2015E+00	2.6258E−01	2.7777E+00	2.8798E−01	2.4205E+00
29	1.7455E−01	5.3376E+00	2.2799E−01	3.2756E+00	2.4757E−01	2.8414E+00	2.7130E−01	2.4757E+00
30	1.6612E−01	5.4645E+00	2.1549E−01	3.3478E+00	2.3378E−01	2.9034E+00	2.5603E−01	2.5293E+00
31	1.5833E−01	5.5893E+00	2.0396E−01	3.4183E+00	2.2109E−01	2.9638E+00	2.4200E−01	2.5814E+00
32	1.5111E−01	5.7121E+00	1.9331E−01	3.4871E+00	2.0939E−01	3.0227E+00	2.2909E−01	2.6320E+00
33	1.4441E−01	5.8328E+00	1.8346E−01	3.5545E+00	1.9859E−01	3.0802E+00	2.1718E−01	2.6815E+00
34	1.3818E−01	5.9516E+00	1.7433E−01	3.6205E+00	1.8860E−01	3.1364E+00	2.0619E−01	2.7298E+00
35	1.3238E−01	6.0684E+00	1.6588E−01	3.6853E+00	1.7934E−01	3.1915E+00	1.9600E−01	2.7771E+00
36	1.2697E−01	6.1833E+00	1.5803E−01	3.7488E+00	1.7076E−01	3.2455E+00	1.8657E−01	2.8234E+00
37	1.2190E−01	6.2964E+00	1.5074E−01	3.8111E+00	1.6280E−01	3.2985E+00	1.7781E−01	2.8688E+00
38	1.1716E−01	6.4076E+00	1.4396E−01	3.8724E+00	1.5539E−01	3.3506E+00	1.6967E−01	2.9134E+00
39	1.1269E−01	6.5171E+00	1.3765E−01	3.9326E+00	1.4850E−01	3.4018E+00	1.6209E−01	2.9573E+00
40	1.0849E−01	6.6248E+00	1.3176E−01	3.9918E+00	1.4208E−01	3.4522E+00	1.5502E−01	3.0004E+00
41	1.0452E−01	6.7310E+00	1.2627E−01	4.0501E+00	1.3608E−01	3.5017E+00	1.4843E−01	3.0428E+00
42	1.0077E−01	6.8357E+00	1.2114E−01	4.1074E+00	1.3048E−01	3.5505E+00	1.4226E−01	3.0847E+00
43	9.7222E−02	6.9388E+00	1.1634E−01	4.1638E+00	1.2524E−01	3.5985E+00	1.3649E−01	3.1258E+00
44	9.3850E−02	7.0407E+00	1.1184E−01	4.2194E+00	1.2033E−01	3.6458E+00	1.3109E−01	3.1664E+00
45	9.0645E−02	7.1413E+00	1.0762E−01	4.2742E+00	1.1572E−01	3.6924E+00	1.2601E−01	3.2064E+00
46	8.7595E−02	7.2406E+00	1.0365E−01	4.3281E+00	1.1139E−01	3.7384E+00	1.2125E−01	3.2459E+00
47	8.4688E−02	7.3389E+00	9.9911E−02	4.3813E+00	1.0732E−01	3.7837E+00	1.1676E−01	3.2848E+00
48	8.1914E−02	7.4362E+00	9.6389E−02	4.4337E+00	1.0348E−01	3.8283E+00	1.1253E−01	3.3232E+00
49	7.9265E−02	7.5326E+00	9.3066E−02	4.4854E+00	9.9858E−02	3.8724E+00	1.0854E−01	3.3610E+00
50	7.6734E−02	7.6281E+00	8.9924E−02	4.5364E+00	9.6436E−02	3.9158E+00	1.0477E−01	3.3984E+00
51	7.4313E−02	7.7230E+00	8.6950E−02	4.5868E+00	9.3199E−02	3.9587E+00	1.0120E−01	3.4352E+00
52	7.1996E−02	7.8172E+00	8.4132E−02	4.6364E+00	9.0132E−02	4.0010E+00	9.7825E−02	3.4715E+00
53	6.9779E−02	7.9108E+00	8.1458E−02	4.6855E+00	8.7224E−02	4.0427E+00	9.4622E−02	3.5074E+00
54	6.7656E−02	8.0040E+00	7.8917E−02	4.7339E+00	8.4461E−02	4.0839E+00	9.1581E−02	3.5428E+00
55	6.5623E−02	8.0967E+00	7.6500E−02	4.7818E+00	8.1835E−02	4.1246E+00	8.8690E−02	3.5777E+00
56	6.3678E−02	8.1892E+00	7.4199E−02	4.8291E+00	7.9335E−02	4.1648E+00	8.5939E−02	3.6122E+00
57	6.1816E−02	8.2815E+00	7.2005E−02	4.8758E+00	7.6953E−02	4.2044E+00	8.3319E−02	3.6462E+00
58	6.0035E−02	8.3736E+00	6.9912E−02	4.9220E+00	7.4681E−02	4.2436E+00	8.0821E−02	3.6798E+00
59	5.8333E−02	8.4656E+00	6.7913E−02	4.9677E+00	7.2512E−02	4.2823E+00	7.8437E−02	3.7130E+00
60	5.6707E−02	8.5576E+00	6.6002E−02	5.0129E+00	7.0439E−02	4.3206E+00	7.6160E−02	3.7457E+00

W; [Z=74]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	9.9115E+00	3.5816E−01	1.1863E+01	2.6042E−01	1.2610E+01	2.3446E−01	1.3535E+01	2.1086E−01
1	8.2957E+00	4.1927E−01	1.0102E+01	3.0129E−01	1.0776E+01	2.7053E−01	1.1606E+01	2.4263E−01
2	5.6909E+00	5.7992E−01	7.2132E+00	4.0557E−01	7.7550E+00	3.6206E−01	8.4066E+00	3.2309E−01
3	3.9107E+00	7.8642E−01	5.1727E+00	5.3510E−01	5.6066E+00	4.7499E−01	6.1167E+00	4.2192E−01
4	2.8318E+00	1.0027E+00	3.8873E+00	6.6760E−01	4.2435E+00	5.8992E−01	4.6555E+00	5.2211E−01
5	2.1405E+00	1.2214E+00	3.0308E+00	7.9949E−01	3.3287E+00	7.0391E−01	3.6694E+00	6.2119E−01
6	1.6729E+00	1.4430E+00	2.4268E+00	9.3153E−01	2.6788E+00	8.1770E−01	2.9648E+00	7.1987E−01
7	1.3458E+00	1.6651E+00	1.9859E+00	1.0632E+00	2.2006E+00	9.3099E−01	2.4433E+00	8.1795E−01
8	1.1102E+00	1.8840E+00	1.6559E+00	1.1931E+00	1.8403E+00	1.0426E+00	2.0482E+00	9.1448E−01
9	9.3494E−01	2.0969E+00	1.4032E+00	1.3198E+00	1.5628E+00	1.1514E+00	1.7426E+00	1.0086E+00
10	8.0033E−01	2.3029E+00	1.2054E+00	1.4428E+00	1.3444E+00	1.2571E+00	1.5012E+00	1.0999E+00
11	6.9387E−01	2.5025E+00	1.0468E+00	1.5621E+00	1.1688E+00	1.3596E+00	1.3064E+00	1.1885E+00
12	6.0890E−01	2.6969E+00	9.1852E−01	1.6784E+00	1.0262E+00	1.4596E+00	1.1478E+00	1.2750E+00
13	5.3988E−01	2.8870E+00	8.1279E−01	1.7923E+00	9.0818E−01	1.5574E+00	1.0162E+00	1.3596E+00
14	4.8322E−01	3.0732E+00	7.2452E−01	1.9042E+00	8.0931E−01	1.6537E+00	9.0554E−01	1.4428E+00
15	4.3648E−01	3.2555E+00	6.5034E−01	2.0144E+00	7.2586E−01	1.7485E+00	8.1185E−01	1.5249E+00
16	3.9763E−01	3.4336E+00	5.8757E−01	2.1228E+00	6.5494E−01	1.8420E+00	7.3195E−01	1.6059E+00
17	3.6501E−01	3.6072E+00	5.3409E−01	2.2292E+00	5.9428E−01	1.9340E+00	6.6340E−01	1.6858E+00
18	3.3729E−01	3.7758E+00	4.8821E−01	2.3335E+00	5.4209E−01	2.0243E+00	6.0426E−01	1.7643E+00
19	3.1339E−01	3.9396E+00	4.4857E−01	2.4352E+00	4.9690E−01	2.1126E+00	5.5296E−01	1.8412E+00
20	2.9249E−01	4.0985E+00	4.1405E−01	2.5342E+00	4.5751E−01	2.1987E+00	5.0820E−01	1.9163E+00
21	2.7398E−01	4.2528E+00	3.8374E−01	2.6303E+00	4.2295E−01	2.2824E+00	4.6892E−01	1.9893E+00
22	2.5738E−01	4.4030E+00	3.5691E−01	2.7234E+00	3.9242E−01	2.3635E+00	4.3426E−01	2.0602E+00
23	2.4236E−01	4.5493E+00	3.3297E−01	2.8135E+00	3.6526E−01	2.4420E+00	4.0348E−01	2.1289E+00
24	2.2868E−01	4.6923E+00	3.1147E−01	2.9007E+00	3.4095E−01	2.5180E+00	3.7600E−01	2.1952E+00
25	2.1614E−01	4.8321E+00	2.9203E−01	2.9851E+00	3.1905E−01	2.5914E+00	3.5133E−01	2.2594E+00
26	2.0462E−01	4.9692E+00	2.7436E−01	3.0669E+00	2.9924E−01	2.6624E+00	3.2906E−01	2.3213E+00
27	1.9401E−01	5.1038E+00	2.5822E−01	3.1462E+00	2.8121E−01	2.7311E+00	3.0888E−01	2.3811E+00
28	1.8422E−01	5.2360E+00	2.4343E−01	3.2232E+00	2.6476E−01	2.7977E+00	2.9051E−01	2.4390E+00
29	1.7517E−01	5.3660E+00	2.2984E−01	3.2982E+00	2.4969E−01	2.8623E+00	2.7374E−01	2.4950E+00
30	1.6680E−01	5.4938E+00	2.1731E−01	3.3712E+00	2.3584E−01	2.9251E+00	2.5837E−01	2.5494E+00
31	1.5905E−01	5.6196E+00	2.0575E−01	3.4425E+00	2.2309E−01	2.9863E+00	2.4425E−01	2.6022E+00
32	1.5186E−01	5.7434E+00	1.9505E−01	3.5122E+00	2.1133E−01	3.0459E+00	2.3125E−01	2.6536E+00
33	1.4519E−01	5.8651E+00	1.8515E−01	3.5803E+00	2.0046E−01	3.1041E+00	2.1926E−01	2.7037E+00
34	1.3899E−01	5.9850E+00	1.7598E−01	3.6470E+00	1.9040E−01	3.1610E+00	2.0817E−01	2.7526E+00
35	1.3321E−01	6.1029E+00	1.6747E−01	3.7124E+00	1.8108E−01	3.2168E+00	1.9791E−01	2.8005E+00
36	1.2782E−01	6.2189E+00	1.5956E−01	3.7766E+00	1.7242E−01	3.2714E+00	1.8838E−01	2.8473E+00
37	1.2277E−01	6.3330E+00	1.5221E−01	3.8396E+00	1.6439E−01	3.3250E+00	1.7954E−01	2.8933E+00
38	1.1803E−01	6.4453E+00	1.4537E−01	3.9014E+00	1.5691E−01	3.3776E+00	1.7132E−01	2.9384E+00
39	1.1358E−01	6.5558E+00	1.3900E−01	3.9623E+00	1.4995E−01	3.4293E+00	1.6367E−01	2.9827E+00
40	1.0938E−01	6.6647E+00	1.3305E−01	4.0221E+00	1.4346E−01	3.4801E+00	1.5653E−01	3.0262E+00
41	1.0542E−01	6.7719E+00	1.2750E−01	4.0809E+00	1.3740E−01	3.5302E+00	1.4986E−01	3.0691E+00
42	1.0168E−01	6.8776E+00	1.2232E−01	4.1388E+00	1.3173E−01	3.5794E+00	1.4363E−01	3.1113E+00
43	9.8125E−02	6.9818E+00	1.1746E−01	4.1958E+00	1.2643E−01	3.6279E+00	1.3780E−01	3.1529E+00
44	9.4751E−02	7.0846E+00	1.1291E−01	4.2519E+00	1.2146E−01	3.6756E+00	1.3234E−01	3.1938E+00
45	9.1542E−02	7.1861E+00	1.0863E−01	4.3072E+00	1.1681E−01	3.7227E+00	1.2721E−01	3.2342E+00
46	8.8484E−02	7.2864E+00	1.0462E−01	4.3616E+00	1.1243E−01	3.7691E+00	1.2239E−01	3.2740E+00
47	8.5567E−02	7.3856E+00	1.0084E−01	4.4153E+00	1.0831E−01	3.8148E+00	1.1785E−01	3.3133E+00
48	8.2781E−02	7.4837E+00	9.7274E−02	4.4683E+00	1.0443E−01	3.8599E+00	1.1358E−01	3.3520E+00
49	8.0118E−02	7.5809E+00	9.3912E−02	4.5205E+00	1.0076E−01	3.9043E+00	1.0954E−01	3.3902E+00
50	7.7569E−02	7.6773E+00	9.0734E−02	4.5719E+00	9.7304E−02	3.9482E+00	1.0573E−01	3.4279E+00
51	7.5129E−02	7.7728E+00	8.7727E−02	4.6227E+00	9.4032E−02	3.9914E+00	1.0213E−01	3.4650E+00
52	7.2790E−02	7.8678E+00	8.4878E−02	4.6729E+00	9.0933E−02	4.0341E+00	9.8720E−02	3.5017E+00
53	7.0549E−02	7.9621E+00	8.2175E−02	4.7224E+00	8.7995E−02	4.0763E+00	9.5485E−02	3.5379E+00
54	6.8400E−02	8.0559E+00	7.9607E−02	4.7713E+00	8.5205E−02	4.1179E+00	9.2414E−02	3.5736E+00
55	6.6340E−02	8.1493E+00	7.7165E−02	4.8196E+00	8.2553E−02	4.1589E+00	8.9496E−02	3.6089E+00
56	6.4365E−02	8.2424E+00	7.4840E−02	4.8673E+00	8.0029E−02	4.1995E+00	8.6720E−02	3.6437E+00
57	6.2471E−02	8.3352E+00	7.2625E−02	4.9145E+00	7.7625E−02	4.2396E+00	8.4076E−02	3.6781E+00
58	6.0657E−02	8.4279E+00	7.0511E−02	4.9612E+00	7.5332E−02	4.2791E+00	8.1556E−02	3.7120E+00
59	5.8921E−02	8.5206E+00	6.8493E−02	5.0073E+00	7.3144E−02	4.3182E+00	7.9151E−02	3.7455E+00
60	5.7260E−02	8.6132E+00	6.6564E−02	5.0529E+00	7.1053E−02	4.3568E+00	7.6855E−02	3.7786E+00

Re; [Z=75]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	9.6041E+00	3.7069E−01	1.1541E+01	2.6947E−01	1.2279E+01	2.4267E−01	1.3189E+01	2.1831E−01
1	8.1535E+00	4.2816E−01	9.9578E+00	3.0788E−01	1.0630E+01	2.7656E−01	1.1454E+01	2.4815E−01
2	5.7116E+00	5.8065E−01	7.2475E+00	4.0704E−01	7.7945E+00	3.6365E−01	8.4521E+00	3.2473E−01
3	3.9544E+00	7.8203E−01	5.2339E+00	5.3372E−01	5.6745E+00	4.7418E−01	6.1925E+00	4.2153E−01
4	2.8597E+00	9.9894E−01	3.9297E+00	6.6687E−01	4.2914E+00	5.8974E−01	4.7098E+00	5.2232E−01
5	2.1553E+00	1.2213E+00	3.0555E+00	8.0109E−01	3.3575E+00	7.0578E−01	3.7028E+00	6.2321E−01
6	1.6809E+00	1.4469E+00	2.4412E+00	9.3572E−01	2.6960E+00	8.2184E−01	2.9854E+00	7.2387E−01
7	1.3507E+00	1.6727E+00	1.9947E+00	1.0698E+00	2.2116E+00	9.3719E−01	2.4568E+00	8.2377E−01
8	1.1138E+00	1.8946E+00	1.6618E+00	1.2017E+00	1.8479E+00	1.0506E+00	2.0578E+00	9.2188E−01
9	9.3805E−01	2.1098E+00	1.4077E+00	1.3301E+00	1.5686E+00	1.1609E+00	1.7499E+00	1.0173E+00
10	8.0323E−01	2.3174E+00	1.2092E+00	1.4544E+00	1.3493E+00	1.2678E+00	1.5074E+00	1.1097E+00
11	6.9655E−01	2.5181E+00	1.0503E+00	1.5747E+00	1.1732E+00	1.3712E+00	1.3120E+00	1.1991E+00
12	6.1130E−01	2.7131E+00	9.2184E−01	1.6917E+00	1.0304E+00	1.4717E+00	1.1531E+00	1.2860E+00
13	5.4191E−01	2.9034E+00	8.1598E−01	1.8059E+00	9.1226E−01	1.5699E+00	1.0213E+00	1.3709E+00
14	4.8479E−01	3.0898E+00	7.2757E−01	1.9179E+00	8.1325E−01	1.6662E+00	9.1051E−01	1.4543E+00
15	4.3760E−01	3.2723E+00	6.5321E−01	2.0281E+00	7.2964E−01	1.7611E+00	8.1666E−01	1.5364E+00
16	3.9835E−01	3.4508E+00	5.9024E−01	2.1365E+00	6.5852E−01	1.8546E+00	7.3656E−01	1.6174E+00
17	3.6541E−01	3.6248E+00	5.3655E−01	2.2431E+00	5.9766E−01	1.9466E+00	6.6778E−01	1.6973E+00
18	3.3745E−01	3.7942E+00	4.9049E−01	2.3475E+00	5.4525E−01	2.0371E+00	6.0840E−01	1.7759E+00
19	3.1341E−01	3.9588E+00	4.5068E−01	2.4496E+00	4.9986E−01	2.1257E+00	5.5684E−01	1.8531E+00
20	2.9245E−01	4.1187E+00	4.1603E−01	2.5491E+00	4.6030E−01	2.2122E+00	5.1185E−01	1.9286E+00
21	2.7393E−01	4.2740E+00	3.8563E−01	2.6459E+00	4.2558E−01	2.2965E+00	4.7236E−01	2.0021E+00
22	2.5738E−01	4.4252E+00	3.5874E−01	2.7397E+00	3.9493E−01	2.3783E+00	4.3750E−01	2.0736E+00
23	2.4243E−01	4.5725E+00	3.3477E−01	2.8307E+00	3.6767E−01	2.4576E+00	4.0655E−01	2.1430E+00
24	2.2883E−01	4.7163E+00	3.1326E−01	2.9187E+00	3.4328E−01	2.5343E+00	3.7892E−01	2.2101E+00
25	2.1639E−01	4.8571E+00	2.9381E−01	3.0040E+00	3.2132E−01	2.6086E+00	3.5412E−01	2.2750E+00
26	2.0495E−01	4.9951E+00	2.7614E−01	3.0867E+00	3.0145E−01	2.6805E+00	3.3174E−01	2.3378E+00
27	1.9441E−01	5.1305E+00	2.6001E−01	3.1669E+00	2.8338E−01	2.7501E+00	3.1146E−01	2.3985E+00
28	1.8469E−01	5.2636E+00	2.4521E−01	3.2449E+00	2.6687E−01	2.8175E+00	2.9299E−01	2.4572E+00
29	1.7570E−01	5.3945E+00	2.3161E−01	3.3207E+00	2.5175E−01	2.8830E+00	2.7613E−01	2.5141E+00
30	1.6739E−01	5.5232E+00	2.1907E−01	3.3946E+00	2.3786E−01	2.9467E+00	2.6068E−01	2.5692E+00
31	1.5968E−01	5.6500E+00	2.0748E−01	3.4666E+00	2.2505E−01	3.0086E+00	2.4647E−01	2.6228E+00
32	1.5254E−01	5.7747E+00	1.9676E−01	3.5370E+00	2.1324E−01	3.0689E+00	2.3339E−01	2.6749E+00
33	1.4590E−01	5.8975E+00	1.8682E−01	3.6059E+00	2.0231E−01	3.1279E+00	2.2131E−01	2.7257E+00
34	1.3973E−01	6.0183E+00	1.7760E−01	3.6733E+00	1.9218E−01	3.1855E+00	2.1014E−01	2.7753E+00
35	1.3397E−01	6.1372E+00	1.6904E−01	3.7394E+00	1.8279E−01	3.2418E+00	1.9980E−01	2.8237E+00
36	1.2860E−01	6.2543E+00	1.6108E−01	3.8042E+00	1.7408E−01	3.2970E+00	1.9020E−01	2.8711E+00
37	1.2357E−01	6.3695E+00	1.5367E−01	3.8678E+00	1.6597E−01	3.3512E+00	1.8128E−01	2.9176E+00
38	1.1885E−01	6.4829E+00	1.4678E−01	3.9303E+00	1.5843E−01	3.4044E+00	1.7298E−01	2.9632E+00
39	1.1442E−01	6.5945E+00	1.4035E−01	3.9917E+00	1.5140E−01	3.4566E+00	1.6525E−01	3.0080E+00
40	1.1023E−01	6.7044E+00	1.3435E−01	4.0521E+00	1.4484E−01	3.5080E+00	1.5804E−01	3.0520E+00
41	1.0628E−01	6.8127E+00	1.2874E−01	4.1115E+00	1.3872E−01	3.5585E+00	1.5131E−01	3.0952E+00
42	1.0255E−01	6.9194E+00	1.2350E−01	4.1700E+00	1.3299E−01	3.6082E+00	1.4501E−01	3.1379E+00
43	9.9000E−02	7.0246E+00	1.1859E−01	4.2275E+00	1.2763E−01	3.6572E+00	1.3912E−01	3.1798E+00
44	9.5629E−02	7.1284E+00	1.1398E−01	4.2842E+00	1.2261E−01	3.7053E+00	1.3359E−01	3.2211E+00
45	9.2420E−02	7.2309E+00	1.0966E−01	4.3400E+00	1.1790E−01	3.7528E+00	1.2840E−01	3.2619E+00
46	8.9360E−02	7.3321E+00	1.0560E−01	4.3950E+00	1.1347E−01	3.7996E+00	1.2353E−01	3.3020E+00
47	8.6439E−02	7.4321E+00	1.0177E−01	4.4492E+00	1.0930E−01	3.8458E+00	1.1895E−01	3.3416E+00
48	8.3645E−02	7.5311E+00	9.8170E−02	4.5026E+00	1.0538E−01	3.8913E+00	1.1463E−01	3.3807E+00
49	8.0971E−02	7.6291E+00	9.4769E−02	4.5553E+00	1.0167E−01	3.9361E+00	1.1055E−01	3.4192E+00
50	7.8409E−02	7.7262E+00	9.1555E−02	4.6073E+00	9.8178E−02	3.9804E+00	1.0670E−01	3.4573E+00
51	7.5953E−02	7.8225E+00	8.8513E−02	4.6586E+00	9.4870E−02	4.0241E+00	1.0306E−01	3.4948E+00
52	7.3596E−02	7.9182E+00	8.5632E−02	4.7092E+00	9.1739E−02	4.0671E+00	9.9614E−02	3.5318E+00
53	7.1334E−02	8.0132E+00	8.2899E−02	4.7592E+00	8.8769E−02	4.1097E+00	9.6347E−02	3.5683E+00
54	6.9162E−02	8.1076E+00	8.0304E−02	4.8085E+00	8.5951E−02	4.1516E+00	9.3246E−02	3.6044E+00
55	6.7076E−02	8.2017E+00	7.7836E−02	4.8573E+00	8.3272E−02	4.1931E+00	9.0300E−02	3.6400E+00
56	6.5073E−02	8.2954E+00	7.5487E−02	4.9054E+00	8.0724E−02	4.2340E+00	8.7498E−02	3.6751E+00
57	6.3150E−02	8.3888E+00	7.3249E−02	4.9530E+00	7.8297E−02	4.2745E+00	8.4830E−02	3.7098E+00
58	6.1304E−02	8.4821E+00	7.1115E−02	5.0001E+00	7.5983E−02	4.3144E+00	8.2287E−02	3.7441E+00
59	5.9535E−02	8.5753E+00	6.9077E−02	5.0467E+00	7.3774E−02	4.3539E+00	7.9861E−02	3.7780E+00
60	5.7839E−02	8.6685E+00	6.7129E−02	5.0927E+00	7.1665E−02	4.3929E+00	7.7544E−02	3.8114E+00

Os; [Z=76]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	9.3019E+00	3.8287E−01	1.1224E+01	2.7839E−01	1.1952E+01	2.5078E−01	1.2847E+01	2.2570E−01
1	7.9932E+00	4.3726E−01	9.7929E+00	3.1472E−01	1.0461E+01	2.8284E−01	1.1279E+01	2.5391E−01
2	5.7088E+00	5.8245E−01	7.2547E+00	4.0927E−01	7.8055E+00	3.6592E−01	8.4672E+00	3.2699E−01
3	3.9885E+00	7.7808E−01	5.2837E+00	5.3268E−01	5.7303E+00	4.7367E−01	6.2553E+00	4.2141E−01
4	2.8862E+00	9.9394E−01	3.9707E+00	6.6547E−01	4.3379E+00	5.8900E−01	4.7626E+00	5.2205E−01
5	2.1708E+00	1.2186E+00	3.0821E+00	8.0126E−01	3.3883E+00	7.0644E−01	3.7385E+00	6.2420E−01
6	1.6897E+00	1.4478E+00	2.4574E+00	9.3820E−01	2.7155E+00	8.2453E−01	3.0085E+00	7.2664E−01
7	1.3561E+00	1.6773E+00	2.0048E+00	1.0747E+00	2.2241E+00	9.4199E−01	2.4721E+00	8.2838E−01
8	1.1178E+00	1.9026E+00	1.6685E+00	1.2089E+00	1.8564E+00	1.0574E+00	2.0684E+00	9.2823E−01
9	9.4147E−01	2.1205E+00	1.4127E+00	1.3392E+00	1.5749E+00	1.1694E+00	1.7579E+00	1.0252E+00
10	8.0643E−01	2.3301E+00	1.2132E+00	1.4651E+00	1.3544E+00	1.2777E+00	1.5138E+00	1.1188E+00
11	6.9955E−01	2.5321E+00	1.0539E+00	1.5866E+00	1.1777E+00	1.3821E+00	1.3176E+00	1.2092E+00
12	6.1403E−01	2.7278E+00	9.2519E−01	1.7043E+00	1.0346E+00	1.4834E+00	1.1583E+00	1.2967E+00
13	5.4426E−01	2.9186E+00	8.1918E−01	1.8190E+00	9.1627E−01	1.5820E+00	1.0263E+00	1.3820E+00
14	4.8668E−01	3.1052E+00	7.3060E−01	1.9312E+00	8.1710E−01	1.6785E+00	9.1533E−01	1.4656E+00
15	4.3902E−01	3.2879E+00	6.5606E−01	2.0415E+00	7.3332E−01	1.7734E+00	8.2130E−01	1.5477E+00
16	3.9932E−01	3.4667E+00	5.9287E−01	2.1499E+00	6.6201E−01	1.8669E+00	7.4101E−01	1.6287E+00
17	3.6600E−01	3.6413E+00	5.3898E−01	2.2565E+00	6.0094E−01	1.9590E+00	6.7202E−01	1.7086E+00
18	3.3776E−01	3.8114E+00	4.9271E−01	2.3612E+00	5.4833E−01	2.0496E+00	6.1240E−01	1.7874E+00
19	3.1353E−01	3.9768E+00	4.5274E−01	2.4636E+00	5.0274E−01	2.1384E+00	5.6062E−01	1.8647E+00
20	2.9246E−01	4.1376E+00	4.1795E−01	2.5636E+00	4.6300E−01	2.2253E+00	5.1540E−01	1.9404E+00
21	2.7391E−01	4.2939E+00	3.8745E−01	2.6609E+00	4.2814E−01	2.3100E+00	4.7570E−01	2.0145E+00
22	2.5737E−01	4.4460E+00	3.6049E−01	2.7554E+00	3.9735E−01	2.3924E+00	4.4065E−01	2.0865E+00
23	2.4247E−01	4.5942E+00	3.3649E−01	2.8471E+00	3.6999E−01	2.4724E+00	4.0954E−01	2.1565E+00
24	2.2893E−01	4.7390E+00	3.1495E−01	2.9360E+00	3.4552E−01	2.5499E+00	3.8177E−01	2.2243E+00
25	2.1656E−01	4.8807E+00	2.9550E−01	3.0221E+00	3.2350E−01	2.6250E+00	3.5684E−01	2.2901E+00
26	2.0520E−01	5.0195E+00	2.7784E−01	3.1057E+00	3.0358E−01	2.6978E+00	3.3435E−01	2.3536E+00
27	1.9474E−01	5.1558E+00	2.6171E−01	3.1868E+00	2.8546E−01	2.7682E+00	3.1397E−01	2.4151E+00
28	1.8509E−01	5.2898E+00	2.4692E−01	3.2655E+00	2.6892E−01	2.8365E+00	2.9542E−01	2.4747E+00
29	1.7616E−01	5.4215E+00	2.3332E−01	3.3422E+00	2.5376E−01	2.9028E+00	2.7847E−01	2.5323E+00
30	1.6790E−01	5.5512E+00	2.2077E−01	3.4169E+00	2.3982E−01	2.9673E+00	2.6294E−01	2.5883E+00
31	1.6024E−01	5.6788E+00	2.0916E−01	3.4897E+00	2.2697E−01	3.0300E+00	2.4866E−01	2.6426E+00
32	1.5314E−01	5.8045E+00	1.9842E−01	3.5608E+00	2.1511E−01	3.0911E+00	2.3550E−01	2.6954E+00
33	1.4654E−01	5.9282E+00	1.8845E−01	3.6304E+00	2.0412E−01	3.1507E+00	2.2334E−01	2.7469E+00
34	1.4039E−01	6.0500E+00	1.7919E−01	3.6985E+00	1.9394E−01	3.2090E+00	2.1210E−01	2.7971E+00
35	1.3467E−01	6.1700E+00	1.7059E−01	3.7653E+00	1.8449E−01	3.2660E+00	2.0167E−01	2.8461E+00
36	1.2932E−01	6.2881E+00	1.6258E−01	3.8308E+00	1.7571E−01	3.3218E+00	1.9200E−01	2.8941E+00
37	1.2432E−01	6.4043E+00	1.5513E−01	3.8950E+00	1.6755E−01	3.3765E+00	1.8300E−01	2.9411E+00
38	1.1962E−01	6.5187E+00	1.4818E−01	3.9581E+00	1.5994E−01	3.4303E+00	1.7463E−01	2.9872E+00
39	1.1520E−01	6.6314E+00	1.4169E−01	4.0202E+00	1.5285E−01	3.4831E+00	1.6683E−01	3.0325E+00
40	1.1104E−01	6.7424E+00	1.3564E−01	4.0812E+00	1.4623E−01	3.5349E+00	1.5955E−01	3.0769E+00
41	1.0711E−01	6.8517E+00	1.2998E−01	4.1411E+00	1.4004E−01	3.5859E+00	1.5275E−01	3.1207E+00
42	1.0338E−01	6.9594E+00	1.2468E−01	4.2002E+00	1.3426E−01	3.6361E+00	1.4639E−01	3.1637E+00
43	9.9843E−02	7.0656E+00	1.1972E−01	4.2583E+00	1.2885E−01	3.6855E+00	1.4043E−01	3.2060E+00
44	9.6481E−02	7.1704E+00	1.1507E−01	4.3155E+00	1.2377E−01	3.7342E+00	1.3485E−01	3.2477E+00
45	9.3277E−02	7.2738E+00	1.1070E−01	4.3718E+00	1.1900E−01	3.7821E+00	1.2961E−01	3.2888E+00
46	9.0220E−02	7.3759E+00	1.0659E−01	4.4273E+00	1.1452E−01	3.8293E+00	1.2468E−01	3.3294E+00
47	8.7298E−02	7.4769E+00	1.0272E−01	4.4820E+00	1.1031E−01	3.8759E+00	1.2005E−01	3.3693E+00
48	8.4501E−02	7.5767E+00	9.9077E−02	4.5360E+00	1.0634E−01	3.9218E+00	1.1568E−01	3.4087E+00
49	8.1821E−02	7.6755E+00	9.5637E−02	4.5891E+00	1.0260E−01	3.9671E+00	1.1156E−01	3.4476E+00
50	7.9250E−02	7.7734E+00	9.2386E−02	4.6416E+00	9.9059E−02	4.0117E+00	1.0767E−01	3.4859E+00
51	7.6782E−02	7.8705E+00	8.9310E−02	4.6933E+00	9.5716E−02	4.0558E+00	1.0399E−01	3.5238E+00
52	7.4410E−02	7.9668E+00	8.6397E−02	4.7444E+00	9.2550E−02	4.0993E+00	1.0051E−01	3.5611E+00
53	7.2131E−02	8.0625E+00	8.3633E−02	4.7948E+00	8.9549E−02	4.1422E+00	9.7209E−02	3.5980E+00
54	6.9938E−02	8.1576E+00	8.1009E−02	4.8447E+00	8.6701E−02	4.1846E+00	9.4078E−02	3.6344E+00
55	6.7830E−02	8.2523E+00	7.8515E−02	4.8938E+00	8.3995E−02	4.2264E+00	9.1103E−02	3.6703E+00
56	6.5802E−02	8.3466E+00	7.6141E−02	4.9425E+00	8.1421E−02	4.2677E+00	8.8274E−02	3.7058E+00
57	6.3851E−02	8.4406E+00	7.3880E−02	4.9905E+00	7.8970E−02	4.3085E+00	8.5581E−02	3.7408E+00
58	6.1976E−02	8.5344E+00	7.1723E−02	5.0380E+00	7.6634E−02	4.3489E+00	8.3014E−02	3.7754E+00
59	6.0174E−02	8.6282E+00	6.9665E−02	5.0850E+00	7.4405E−02	4.3887E+00	8.0567E−02	3.8096E+00
60	5.8444E−02	8.7219E+00	6.7698E−02	5.1315E+00	7.2276E−02	4.4281E+00	7.8230E−02	3.8434E+00

Ir; [Z=77]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	9.0094E+00	3.9465E−01	1.0915E+01	2.8713E−01	1.1634E+01	2.5876E−01	1.2514E+01	2.3298E−01
1	7.8231E+00	4.4641E−01	9.6163E+00	3.2167E−01	1.0280E+01	2.8924E−01	1.1091E+01	2.5978E−01
2	5.6873E+00	5.8508E−01	7.2404E+00	4.1210E−01	7.7938E+00	3.6873E−01	8.4580E+00	3.2972E−01
3	4.0132E+00	7.7474E−01	5.3222E+00	5.3206E−01	5.7741E+00	4.7355E−01	6.3052E+00	4.2163E−01
4	2.9103E+00	9.8831E−01	4.0090E+00	6.6376E−01	4.3815E+00	5.8800E−01	4.8124E+00	5.2156E−01
5	2.1863E+00	1.2141E+00	3.1093E+00	8.0039E−01	3.4200E+00	7.0623E−01	3.7752E+00	6.2443E−01
6	1.6988E+00	1.4462E+00	2.4750E+00	9.3923E−01	2.7366E+00	8.2599E−01	3.0335E+00	7.2837E−01
7	1.3618E+00	1.6793E+00	2.0161E+00	1.0780E+00	2.2380E+00	9.4548E−01	2.4889E+00	8.3189E−01
8	1.1219E+00	1.9080E+00	1.6760E+00	1.2146E+00	1.8658E+00	1.0629E+00	2.0800E+00	9.3354E−01
9	9.4506E−01	2.1289E+00	1.4181E+00	1.3471E+00	1.5817E+00	1.1769E+00	1.7664E+00	1.0322E+00
10	8.0983E−01	2.3409E+00	1.2175E+00	1.4748E+00	1.3598E+00	1.2867E+00	1.5205E+00	1.1272E+00
11	7.0279E−01	2.5444E+00	1.0576E+00	1.5977E+00	1.1823E+00	1.3924E+00	1.3233E+00	1.2187E+00
12	6.1704E−01	2.7411E+00	9.2861E−01	1.7163E+00	1.0388E+00	1.4945E+00	1.1635E+00	1.3070E+00
13	5.4690E−01	2.9325E+00	8.2241E−01	1.8316E+00	9.2024E−01	1.5937E+00	1.0312E+00	1.3928E+00
14	4.8887E−01	3.1194E+00	7.3365E−01	1.9441E+00	8.2089E−01	1.6905E+00	9.2001E−01	1.4766E+00
15	4.4071E−01	3.3024E+00	6.5890E−01	2.0545E+00	7.3693E−01	1.7855E+00	8.2581E−01	1.5589E+00
16	4.0054E−01	3.4816E+00	5.9550E−01	2.1630E+00	6.6543E−01	1.8791E+00	7.4533E−01	1.6399E+00
17	3.6681E−01	3.6566E+00	5.4139E−01	2.2697E+00	6.0415E−01	1.9712E+00	6.7613E−01	1.7198E+00
18	3.3824E−01	3.8274E+00	4.9492E−01	2.3745E+00	5.5133E−01	2.0618E+00	6.1629E−01	1.7986E+00
19	3.1378E−01	3.9936E+00	4.5476E−01	2.4772E+00	5.0555E−01	2.1508E+00	5.6429E−01	1.8760E+00
20	2.9256E−01	4.1553E+00	4.1982E−01	2.5775E+00	4.6563E−01	2.2380E+00	5.1885E−01	1.9520E+00
21	2.7393E−01	4.3125E+00	3.8921E−01	2.6753E+00	4.3061E−01	2.3231E+00	4.7895E−01	2.0264E+00
22	2.5737E−01	4.4655E+00	3.6217E−01	2.7704E+00	3.9970E−01	2.4061E+00	4.4372E−01	2.0989E+00
23	2.4249E−01	4.6147E+00	3.3812E−01	2.8628E+00	3.7224E−01	2.4867E+00	4.1245E−01	2.1695E+00
24	2.2900E−01	4.7604E+00	3.1656E−01	2.9525E+00	3.4769E−01	2.5649E+00	3.8453E−01	2.2380E+00
25	2.1669E−01	4.9030E+00	2.9711E−01	3.0394E+00	3.2561E−01	2.6408E+00	3.5949E−01	2.3044E+00
26	2.0540E−01	5.0427E+00	2.7945E−01	3.1238E+00	3.0563E−01	2.7143E+00	3.3689E−01	2.3688E+00
27	1.9500E−01	5.1799E+00	2.6333E−01	3.2057E+00	2.8748E−01	2.7856E+00	3.1642E−01	2.4311E+00
28	1.8541E−01	5.3146E+00	2.4855E−01	3.2854E+00	2.7090E−01	2.8547E+00	2.9778E−01	2.4914E+00
29	1.7654E−01	5.4472E+00	2.3495E−01	3.3628E+00	2.5570E−01	2.9218E+00	2.8076E−01	2.5498E+00
30	1.6833E−01	5.5778E+00	2.2240E−01	3.4383E+00	2.4173E−01	2.9871E+00	2.6515E−01	2.6065E+00
31	1.6072E−01	5.7063E+00	2.1079E−01	3.5119E+00	2.2884E−01	3.0505E+00	2.5080E−01	2.6616E+00
32	1.5366E−01	5.8328E+00	2.0002E−01	3.5838E+00	2.1693E−01	3.1123E+00	2.3757E−01	2.7152E+00
33	1.4710E−01	5.9575E+00	1.9003E−01	3.6540E+00	2.0591E−01	3.1727E+00	2.2534E−01	2.7673E+00
34	1.4099E−01	6.0803E+00	1.8075E−01	3.7229E+00	1.9568E−01	3.2316E+00	2.1403E−01	2.8182E+00
35	1.3530E−01	6.2013E+00	1.7211E−01	3.7903E+00	1.8618E−01	3.2892E+00	2.0353E−01	2.8678E+00
36	1.2998E−01	6.3203E+00	1.6407E−01	3.8564E+00	1.7734E−01	3.3457E+00	1.9379E−01	2.9164E+00
37	1.2500E−01	6.4376E+00	1.5656E−01	3.9213E+00	1.6912E−01	3.4010E+00	1.8472E−01	2.9639E+00
38	1.2033E−01	6.5531E+00	1.4957E−01	3.9850E+00	1.6145E−01	3.4553E+00	1.7628E−01	3.0105E+00
39	1.1593E−01	6.6668E+00	1.4304E−01	4.0477E+00	1.5430E−01	3.5087E+00	1.6841E−01	3.0563E+00
40	1.1179E−01	6.7788E+00	1.3693E−01	4.1092E+00	1.4762E−01	3.5610E+00	1.6106E−01	3.1012E+00
41	1.0788E−01	6.8891E+00	1.3122E−01	4.1698E+00	1.4138E−01	3.6125E+00	1.5420E−01	3.1453E+00
42	1.0417E−01	6.9979E+00	1.2587E−01	4.2294E+00	1.3554E−01	3.6632E+00	1.4777E−01	3.1888E+00
43	1.0065E−01	7.1051E+00	1.2086E−01	4.2880E+00	1.3006E−01	3.7131E+00	1.4176E−01	3.2315E+00
44	9.7301E−02	7.2108E+00	1.1616E−01	4.3458E+00	1.2493E−01	3.7622E+00	1.3612E−01	3.2736E+00
45	9.4107E−02	7.3152E+00	1.1174E−01	4.4026E+00	1.2011E−01	3.8106E+00	1.3082E−01	3.3151E+00
46	9.1058E−02	7.4182E+00	1.0759E−01	4.4587E+00	1.1559E−01	3.8582E+00	1.2584E−01	3.3560E+00
47	8.8140E−02	7.5200E+00	1.0368E−01	4.5139E+00	1.1133E−01	3.9052E+00	1.2115E−01	3.3963E+00
48	8.5345E−02	7.6207E+00	9.9995E−02	4.5683E+00	1.0731E−01	3.9516E+00	1.1674E−01	3.4361E+00
49	8.2663E−02	7.7204E+00	9.6516E−02	4.6220E+00	1.0352E−01	3.9972E+00	1.1258E−01	3.4753E+00
50	8.0088E−02	7.8190E+00	9.3228E−02	4.6749E+00	9.9950E−02	4.0423E+00	1.0864E−01	3.5140E+00
51	7.7612E−02	7.9169E+00	9.0117E−02	4.7272E+00	9.6569E−02	4.0868E+00	1.0493E−01	3.5521E+00
52	7.5230E−02	8.0139E+00	8.7171E−02	4.7787E+00	9.3368E−02	4.1306E+00	1.0141E−01	3.5898E+00
53	7.2937E−02	8.1102E+00	8.4377E−02	4.8296E+00	9.0335E−02	4.1739E+00	9.8074E−02	3.6270E+00
54	7.0728E−02	8.2060E+00	8.1724E−02	4.8799E+00	8.7457E−02	4.2167E+00	9.4911E−02	3.6637E+00
55	6.8600E−02	8.3013E+00	7.9202E−02	4.9295E+00	8.4722E−02	4.2589E+00	9.1906E−02	3.7000E+00
56	6.6549E−02	8.3961E+00	7.6803E−02	4.9785E+00	8.2122E−02	4.3006E+00	8.9050E−02	3.7358E+00
57	6.4573E−02	8.4907E+00	7.4517E−02	5.0270E+00	7.9647E−02	4.3418E+00	8.6331E−02	3.7712E+00
58	6.2670E−02	8.5851E+00	7.2338E−02	5.0750E+00	7.7288E−02	4.3825E+00	8.3740E−02	3.8061E+00
59	6.0838E−02	8.6793E+00	7.0258E−02	5.1224E+00	7.5038E−02	4.4227E+00	8.1270E−02	3.8406E+00
60	5.9076E−02	8.7736E+00	6.8272E−02	5.1693E+00	7.2889E−02	4.4625E+00	7.8912E−02	3.8747E+00

Pt; [Z=78]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	8.1369E+00	4.2159E−01	9.9585E+00	3.0728E−01	1.0636E+01	2.7707E−01	1.1459E+01	2.4960E−01
1	7.2202E+00	4.6777E−01	8.9504E+00	3.3800E−01	9.5853E+00	3.0414E−01	1.0357E+01	2.7335E−01
2	5.4793E+00	5.9022E−01	7.0083E+00	4.1799E−01	7.5519E+00	3.7447E−01	8.2030E+00	3.3522E−01
3	3.9884E+00	7.6099E−01	5.3007E+00	5.2663E−01	5.7540E+00	4.6951E−01	6.2864E+00	4.1864E−01
4	2.9278E+00	9.6231E−01	4.0413E+00	6.5143E−01	4.4191E+00	5.7811E−01	4.8557E+00	5.1354E−01
5	2.2025E+00	1.1843E+00	3.1415E+00	7.8616E−01	3.4577E+00	6.9477E−01	3.8190E+00	6.1512E−01
6	1.7081E+00	1.4186E+00	2.4970E+00	9.2638E−01	2.7630E+00	8.1577E−01	3.0648E+00	7.2015E−01
7	1.3670E+00	1.6564E+00	2.0296E+00	1.0681E+00	2.2548E+00	9.3779E−01	2.5093E+00	8.2589E−01
8	1.1256E+00	1.8902E+00	1.6845E+00	1.2079E+00	1.8764E+00	1.0581E+00	2.0932E+00	9.3000E−01
9	9.4859E−01	2.1152E+00	1.4238E+00	1.3433E+00	1.5889E+00	1.1746E+00	1.7754E+00	1.0309E+00
10	8.1345E−01	2.3300E+00	1.2219E+00	1.4733E+00	1.3653E+00	1.2865E+00	1.5273E+00	1.1277E+00
11	7.0637E−01	2.5355E+00	1.0613E+00	1.5978E+00	1.1869E+00	1.3936E+00	1.3289E+00	1.2205E+00
12	6.2040E−01	2.7333E+00	9.3205E−01	1.7176E+00	1.0429E+00	1.4967E+00	1.1685E+00	1.3098E+00
13	5.4985E−01	2.9253E+00	8.2563E−01	1.8335E+00	9.2412E−01	1.5965E+00	1.0359E+00	1.3961E+00
14	4.9130E−01	3.1126E+00	7.3666E−01	1.9463E+00	8.2457E−01	1.6936E+00	9.2453E−01	1.4801E+00
15	4.4260E−01	3.2959E+00	6.6170E−01	2.0568E+00	7.4043E−01	1.7887E+00	8.3015E−01	1.5625E+00
16	4.0190E−01	3.4754E+00	5.9807E−01	2.1653E+00	6.6874E−01	1.8822E+00	7.4949E−01	1.6435E+00
17	3.6773E−01	3.6509E+00	5.4372E−01	2.2721E+00	6.0726E−01	1.9742E+00	6.8010E−01	1.7233E+00
18	3.3880E−01	3.8223E+00	4.9704E−01	2.3769E+00	5.5423E−01	2.0649E+00	6.2005E−01	1.8021E+00
19	3.1407E−01	3.9893E+00	4.5670E−01	2.4798E+00	5.0825E−01	2.1541E+00	5.6783E−01	1.8796E+00
20	2.9269E−01	4.1518E+00	4.2161E−01	2.5805E+00	4.6816E−01	2.2415E+00	5.2219E−01	1.9558E+00
21	2.7396E−01	4.3099E+00	3.9088E−01	2.6787E+00	4.3299E−01	2.3270E+00	4.8210E−01	2.0305E+00
22	2.5735E−01	4.4639E+00	3.6377E−01	2.7744E+00	4.0195E−01	2.4104E+00	4.4669E−01	2.1035E+00
23	2.4248E−01	4.6140E+00	3.3967E−01	2.8675E+00	3.7439E−01	2.4916E+00	4.1527E−01	2.1745E+00
24	2.2902E−01	4.7606E+00	3.1809E−01	2.9579E+00	3.4977E−01	2.5705E+00	3.8722E−01	2.2437E+00
25	2.1676E−01	4.9040E+00	2.9863E−01	3.0456E+00	3.2763E−01	2.6471E+00	3.6206E−01	2.3108E+00
26	2.0552E−01	5.0446E+00	2.8097E−01	3.1308E+00	3.0761E−01	2.7214E+00	3.3936E−01	2.3758E+00
27	1.9519E−01	5.1826E+00	2.6486E−01	3.2135E+00	2.8942E−01	2.7935E+00	3.1880E−01	2.4389E+00
28	1.8565E−01	5.3182E+00	2.5010E−01	3.2939E+00	2.7281E−01	2.8634E+00	3.0009E−01	2.5000E+00
29	1.7684E−01	5.4516E+00	2.3651E−01	3.3721E+00	2.5759E−01	2.9313E+00	2.8299E−01	2.5592E+00
30	1.6868E−01	5.5830E+00	2.2396E−01	3.4484E+00	2.4358E−01	2.9973E+00	2.6732E−01	2.6167E+00
31	1.6112E−01	5.7124E+00	2.1235E−01	3.5227E+00	2.3066E−01	3.0615E+00	2.5290E−01	2.6725E+00
32	1.5410E−01	5.8398E+00	2.0158E−01	3.5953E+00	2.1872E−01	3.1240E+00	2.3960E−01	2.7267E+00
33	1.4758E−01	5.9654E+00	1.9158E−01	3.6663E+00	2.0765E−01	3.1851E+00	2.2732E−01	2.7796E+00
34	1.4151E−01	6.0892E+00	1.8227E−01	3.7358E+00	1.9738E−01	3.2447E+00	2.1593E−01	2.8311E+00
35	1.3585E−01	6.2111E+00	1.7360E−01	3.8039E+00	1.8783E−01	3.3030E+00	2.0538E−01	2.8813E+00
36	1.3056E−01	6.3312E+00	1.6552E−01	3.8707E+00	1.7895E−01	3.3600E+00	1.9556E−01	2.9305E+00
37	1.2562E−01	6.4495E+00	1.5798E−01	3.9362E+00	1.7067E−01	3.4160E+00	1.8643E−01	2.9786E+00
38	1.2097E−01	6.5659E+00	1.5095E−01	4.0005E+00	1.6295E−01	3.4708E+00	1.7792E−01	3.0257E+00
39	1.1661E−01	6.6807E+00	1.4437E−01	4.0638E+00	1.5574E−01	3.5247E+00	1.6999E−01	3.0719E+00
40	1.1249E−01	6.7937E+00	1.3822E−01	4.1259E+00	1.4901E−01	3.5776E+00	1.6258E−01	3.1173E+00
41	1.0860E−01	6.9051E+00	1.3246E−01	4.1871E+00	1.4271E−01	3.6296E+00	1.5565E−01	3.1619E+00
42	1.0492E−01	7.0149E+00	1.2707E−01	4.2472E+00	1.3681E−01	3.6807E+00	1.4916E−01	3.2058E+00
43	1.0142E−01	7.1231E+00	1.2201E−01	4.3064E+00	1.3129E−01	3.7311E+00	1.4309E−01	3.2490E+00
44	9.8086E−02	7.2298E+00	1.1726E−01	4.3647E+00	1.2610E−01	3.7807E+00	1.3738E−01	3.2914E+00
45	9.4908E−02	7.3351E+00	1.1280E−01	4.4221E+00	1.2123E−01	3.8295E+00	1.3203E−01	3.3333E+00
46	9.1871E−02	7.4390E+00	1.0860E−01	4.4787E+00	1.1666E−01	3.8776E+00	1.2700E−01	3.3746E+00
47	8.8963E−02	7.5417E+00	1.0465E−01	4.5344E+00	1.1235E−01	3.9250E+00	1.2227E−01	3.4152E+00
48	8.6175E−02	7.6433E+00	1.0092E−01	4.5893E+00	1.0829E−01	3.9718E+00	1.1780E−01	3.4553E+00
49	8.3497E−02	7.7438E+00	9.7405E−02	4.6435E+00	1.0446E−01	4.0178E+00	1.1360E−01	3.4949E+00
50	8.0922E−02	7.8432E+00	9.4081E−02	4.6969E+00	1.0085E−01	4.0633E+00	1.0962E−01	3.5339E+00
51	7.8443E−02	7.9418E+00	9.0935E−02	4.7496E+00	9.7430E−02	4.1082E+00	1.0587E−01	3.5724E+00
52	7.6055E−02	8.0395E+00	8.7956E−02	4.8016E+00	9.4194E−02	4.1524E+00	1.0231E−01	3.6104E+00
53	7.3752E−02	8.1366E+00	8.5131E−02	4.8530E+00	9.1128E−02	4.1961E+00	9.8942E−02	3.6479E+00
54	7.1530E−02	8.2330E+00	8.2448E−02	4.9037E+00	8.8219E−02	4.2392E+00	9.5746E−02	3.6850E+00
55	6.9386E−02	8.3288E+00	7.9899E−02	4.9538E+00	8.5456E−02	4.2818E+00	9.2711E−02	3.7215E+00
56	6.7316E−02	8.4243E+00	7.7473E−02	5.0033E+00	8.2829E−02	4.3239E+00	8.9827E−02	3.7577E+00
57	6.5319E−02	8.5194E+00	7.5163E−02	5.0522E+00	8.0328E−02	4.3655E+00	8.7081E−02	3.7933E+00
58	6.3390E−02	8.6143E+00	7.2961E−02	5.1005E+00	7.7945E−02	4.4065E+00	8.4466E−02	3.8286E+00
59	6.1531E−02	8.7091E+00	7.0859E−02	5.1483E+00	7.5673E−02	4.4471E+00	8.1973E−02	3.8634E+00
60	5.9738E−02	8.8039E+00	6.8852E−02	5.1957E+00	7.3503E−02	4.4872E+00	7.9593E−02	3.8978E+00

Au; [Z=79]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	7.8823E+00	4.3323E−01	9.6874E+00	3.1605E−01	1.0356E+01	2.8511E−01	1.1165E+01	2.5697E−01
1	7.0483E+00	4.7730E−01	8.7687E+00	3.4536E−01	9.3982E+00	3.1093E−01	1.0161E+01	2.7960E−01
2	5.4262E+00	5.9447E−01	6.9567E+00	4.2198E−01	7.5006E+00	3.7832E−01	8.1514E+00	3.3890E−01
3	3.9916E+00	7.5941E−01	5.3128E+00	5.2717E−01	5.7696E+00	4.7042E−01	6.3060E+00	4.1978E−01
4	2.9439E+00	9.5661E−01	4.0694E+00	6.4976E−01	4.4517E+00	5.7716E−01	4.8936E+00	5.1312E−01
5	2.2163E+00	1.1771E+00	3.1672E+00	7.8383E−01	3.4877E+00	6.9333E−01	3.8540E+00	6.1432E−01
6	1.7171E+00	1.4124E+00	2.5160E+00	9.2480E−01	2.7858E+00	8.1501E−01	3.0918E+00	7.1998E−01
7	1.3726E+00	1.6528E+00	2.0426E+00	1.0682E+00	2.2708E+00	9.3857E−01	2.5287E+00	8.2707E−01
8	1.1296E+00	1.8901E+00	1.6933E+00	1.2103E+00	1.8876E+00	1.0608E+00	2.1070E+00	9.3293E−01
9	9.5204E−01	2.1185E+00	1.4301E+00	1.3482E+00	1.5969E+00	1.1795E+00	1.7853E+00	1.0357E+00
10	8.1688E−01	2.3362E+00	1.2267E+00	1.4804E+00	1.3713E+00	1.2933E+00	1.5349E+00	1.1343E+00
11	7.0983E−01	2.5438E+00	1.0654E+00	1.6067E+00	1.1918E+00	1.4021E+00	1.3350E+00	1.2285E+00
12	6.2379E−01	2.7431E+00	9.3566E−01	1.7279E+00	1.0472E+00	1.5065E+00	1.1738E+00	1.3189E+00
13	5.5299E−01	2.9359E+00	8.2898E−01	1.8447E+00	9.2810E−01	1.6071E+00	1.0407E+00	1.4060E+00
14	4.9404E−01	3.1238E+00	7.3978E−01	1.9581E+00	8.2831E−01	1.7047E+00	9.2905E−01	1.4905E+00
15	4.4484E−01	3.3075E+00	6.6459E−01	2.0689E+00	7.4396E−01	1.8001E+00	8.3445E−01	1.5731E+00
16	4.0365E−01	3.4874E+00	6.0072E−01	2.1776E+00	6.7206E−01	1.8937E+00	7.5359E−01	1.6542E+00
17	3.6900E−01	3.6635E+00	5.4614E−01	2.2844E+00	6.1036E−01	1.9858E+00	6.8400E−01	1.7340E+00
18	3.3967E−01	3.8355E+00	4.9922E−01	2.3893E+00	5.5713E−01	2.0765E+00	6.2374E−01	1.8128E+00
19	3.1463E−01	4.0032E+00	4.5867E−01	2.4924E+00	5.1094E−01	2.1657E+00	5.7131E−01	1.8904E+00
20	2.9301E−01	4.1666E+00	4.2341E−01	2.5933E+00	4.7066E−01	2.2533E+00	5.2547E−01	1.9667E+00
21	2.7413E−01	4.3256E+00	3.9255E−01	2.6920E+00	4.3533E−01	2.3391E+00	4.8518E−01	2.0416E+00
22	2.5744E−01	4.4805E+00	3.6533E−01	2.7881E+00	4.0416E−01	2.4230E+00	4.4960E−01	2.1149E+00
23	2.4253E−01	4.6316E+00	3.4117E−01	2.8818E+00	3.7649E−01	2.5047E+00	4.1802E−01	2.1865E+00
24	2.2907E−01	4.7791E+00	3.1955E−01	2.9728E+00	3.5178E−01	2.5842E+00	3.8984E−01	2.2561E+00
25	2.1683E−01	4.9234E+00	3.0007E−01	3.0613E+00	3.2958E−01	2.6614E+00	3.6456E−01	2.3238E+00
26	2.0563E−01	5.0648E+00	2.8242E−01	3.1472E+00	3.0952E−01	2.7364E+00	3.4177E−01	2.3895E+00
27	1.9535E−01	5.2036E+00	2.6632E−01	3.2307E+00	2.9129E−01	2.8092E+00	3.2112E−01	2.4533E+00
28	1.8586E−01	5.3401E+00	2.5157E−01	3.3118E+00	2.7465E−01	2.8799E+00	3.0234E−01	2.5151E+00
29	1.7709E−01	5.4743E+00	2.3799E−01	3.3908E+00	2.5940E−01	2.9485E+00	2.8517E−01	2.5751E+00
30	1.6898E−01	5.6065E+00	2.2546E−01	3.4678E+00	2.4538E−01	3.0153E+00	2.6943E−01	2.6333E+00
31	1.6146E−01	5.7367E+00	2.1385E−01	3.5429E+00	2.3243E−01	3.0802E+00	2.5496E−01	2.6898E+00
32	1.5448E−01	5.8650E+00	2.0308E−01	3.6162E+00	2.2046E−01	3.1435E+00	2.4160E−01	2.7448E+00
33	1.4800E−01	5.9915E+00	1.9307E−01	3.6879E+00	2.0936E−01	3.2052E+00	2.2925E−01	2.7983E+00
34	1.4196E−01	6.1162E+00	1.8374E−01	3.7581E+00	1.9905E−01	3.2655E+00	2.1781E−01	2.8505E+00
35	1.3634E−01	6.2390E+00	1.7506E−01	3.8268E+00	1.8946E−01	3.3244E+00	2.0719E−01	2.9014E+00
36	1.3108E−01	6.3601E+00	1.6695E−01	3.8942E+00	1.8053E−01	3.3821E+00	1.9732E−01	2.9511E+00
37	1.2617E−01	6.4793E+00	1.5938E−01	3.9604E+00	1.7221E−01	3.4386E+00	1.8813E−01	2.9997E+00
38	1.2156E−01	6.5968E+00	1.5231E−01	4.0253E+00	1.6444E−01	3.4940E+00	1.7956E−01	3.0474E+00
39	1.1722E−01	6.7126E+00	1.4569E−01	4.0891E+00	1.5718E−01	3.5484E+00	1.7156E−01	3.0941E+00
40	1.1314E−01	6.8266E+00	1.3950E−01	4.1519E+00	1.5040E−01	3.6019E+00	1.6409E−01	3.1400E+00
41	1.0927E−01	6.9390E+00	1.3370E−01	4.2136E+00	1.4404E−01	3.6544E+00	1.5710E−01	3.1851E+00
42	1.0561E−01	7.0498E+00	1.2826E−01	4.2743E+00	1.3809E−01	3.7060E+00	1.5055E−01	3.2294E+00
43	1.0214E−01	7.1589E+00	1.2316E−01	4.3340E+00	1.3252E−01	3.7569E+00	1.4442E−01	3.2729E+00
44	9.8830E−02	7.2666E+00	1.1837E−01	4.3929E+00	1.2728E−01	3.8069E+00	1.3866E−01	3.3158E+00
45	9.5672E−02	7.3729E+00	1.1386E−01	4.4508E+00	1.2236E−01	3.8562E+00	1.3326E−01	3.3581E+00
46	9.2652E−02	7.4778E+00	1.0962E−01	4.5079E+00	1.1774E−01	3.9047E+00	1.2817E−01	3.3997E+00
47	8.9759E−02	7.5814E+00	1.0563E−01	4.5641E+00	1.1338E−01	3.9525E+00	1.2339E−01	3.4407E+00
48	8.6982E−02	7.6838E+00	1.0186E−01	4.6196E+00	1.0928E−01	3.9997E+00	1.1888E−01	3.4812E+00
49	8.4312E−02	7.7850E+00	9.8306E−02	4.6742E+00	1.0541E−01	4.0462E+00	1.1463E−01	3.5211E+00
50	8.1742E−02	7.8853E+00	9.4945E−02	4.7281E+00	1.0176E−01	4.0921E+00	1.1061E−01	3.5604E+00
51	7.9265E−02	7.9846E+00	9.1764E−02	4.7813E+00	9.8301E−02	4.1373E+00	1.0681E−01	3.5993E+00
52	7.6875E−02	8.0830E+00	8.8752E−02	4.8338E+00	9.5030E−02	4.1820E+00	1.0322E−01	3.6376E+00
53	7.4566E−02	8.1807E+00	8.5895E−02	4.8856E+00	9.1930E−02	4.2260E+00	9.9815E−02	3.6755E+00
54	7.2336E−02	8.2778E+00	8.3183E−02	4.9368E+00	8.8989E−02	4.2696E+00	9.6586E−02	3.7128E+00
55	7.0180E−02	8.3743E+00	8.0605E−02	4.9873E+00	8.6197E−02	4.3125E+00	9.3520E−02	3.7497E+00
56	6.8094E−02	8.4703E+00	7.8153E−02	5.0372E+00	8.3542E−02	4.3550E+00	9.0606E−02	3.7861E+00
57	6.6078E−02	8.5660E+00	7.5818E−02	5.0866E+00	8.1015E−02	4.3969E+00	8.7834E−02	3.8221E+00
58	6.4127E−02	8.6614E+00	7.3592E−02	5.1353E+00	7.8608E−02	4.4383E+00	8.5193E−02	3.8577E+00
59	6.2242E−02	8.7566E+00	7.1468E−02	5.1836E+00	7.6313E−02	4.4793E+00	8.2676E−02	3.8928E+00
60	6.0421E−02	8.8518E+00	6.9439E−02	5.2313E+00	7.4122E−02	4.5198E+00	8.0274E−02	3.9275E+00

Hg; [Z=80]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	8.1999E+00	4.2779E−01	1.0057E+01	3.1227E−01	1.0747E+01	2.8183E−01	1.1585E+01	2.5414E−01
1	7.2950E+00	4.7334E−01	9.0609E+00	3.4264E−01	9.7088E+00	3.0862E−01	1.0495E+01	2.7765E−01
2	5.5456E+00	5.9611E−01	7.1072E+00	4.2293E−01	7.6629E+00	3.7927E−01	8.3282E+00	3.3985E−01
3	4.0362E+00	7.6853E−01	5.3757E+00	5.3276E−01	5.8394E+00	4.7544E−01	6.3839E+00	4.2432E−01
4	2.9635E+00	9.7105E−01	4.0999E+00	6.5858E−01	4.4866E+00	5.8500E−01	4.9337E+00	5.2014E−01
5	2.2288E+00	1.1940E+00	3.1874E+00	7.9423E−01	3.5113E+00	7.0258E−01	3.8817E+00	6.2259E−01
6	1.7262E+00	1.4301E+00	2.5315E+00	9.3598E−01	2.8042E+00	8.2500E−01	3.1137E+00	7.2894E−01
7	1.3791E+00	1.6717E+00	2.0545E+00	1.0803E+00	2.2853E+00	9.4930E−01	2.5462E+00	8.3671E−01
8	1.1342E+00	1.9106E+00	1.7022E+00	1.2235E+00	1.8987E+00	1.0727E+00	2.1206E+00	9.4356E−01
9	9.5569E−01	2.1414E+00	1.4367E+00	1.3631E+00	1.6053E+00	1.1928E+00	1.7958E+00	1.0476E+00
10	8.2022E−01	2.3616E+00	1.2319E+00	1.4972E+00	1.3779E+00	1.3083E+00	1.5430E+00	1.1477E+00
11	7.1313E−01	2.5713E+00	1.0696E+00	1.6253E+00	1.1971E+00	1.4188E+00	1.3417E+00	1.2434E+00
12	6.2710E−01	2.7723E+00	9.3942E−01	1.7481E+00	1.0518E+00	1.5245E+00	1.1794E+00	1.3350E+00
13	5.5620E−01	2.9664E+00	8.3243E−01	1.8662E+00	9.3223E−01	1.6262E+00	1.0457E+00	1.4231E+00
14	4.9698E−01	3.1550E+00	7.4299E−01	1.9804E+00	8.3213E−01	1.7246E+00	9.3365E−01	1.5083E+00
15	4.4739E−01	3.3393E+00	6.6758E−01	2.0917E+00	7.4753E−01	1.8205E+00	8.3877E−01	1.5914E+00
16	4.0573E−01	3.5197E+00	6.0348E−01	2.2007E+00	6.7541E−01	1.9144E+00	7.5768E−01	1.6727E+00
17	3.7062E−01	3.6963E+00	5.4865E−01	2.3077E+00	6.1350E−01	2.0066E+00	6.8786E−01	1.7527E+00
18	3.4087E−01	3.8689E+00	5.0150E−01	2.4128E+00	5.6005E−01	2.0974E+00	6.2740E−01	1.8315E+00
19	3.1547E−01	4.0374E+00	4.6073E−01	2.5160E+00	5.1365E−01	2.1867E+00	5.7476E−01	1.9091E+00
20	2.9358E−01	4.2016E+00	4.2527E−01	2.6171E+00	4.7317E−01	2.2744E+00	5.2870E−01	1.9855E+00
21	2.7449E−01	4.3616E+00	3.9424E−01	2.7161E+00	4.3766E−01	2.3605E+00	4.8822E−01	2.0606E+00
22	2.5767E−01	4.5175E+00	3.6690E−01	2.8127E+00	4.0634E−01	2.4446E+00	4.5246E−01	2.1342E+00
23	2.4268E−01	4.6695E+00	3.4264E−01	2.9069E+00	3.7856E−01	2.5268E+00	4.2072E−01	2.2060E+00
24	2.2919E−01	4.8179E+00	3.2097E−01	2.9985E+00	3.5375E−01	2.6068E+00	3.9240E−01	2.2762E+00
25	2.1694E−01	4.9631E+00	3.0147E−01	3.0876E+00	3.3148E−01	2.6846E+00	3.6700E−01	2.3444E+00
26	2.0576E−01	5.1054E+00	2.8380E−01	3.1742E+00	3.1136E−01	2.7603E+00	3.4411E−01	2.4108E+00
27	1.9550E−01	5.2450E+00	2.6771E−01	3.2584E+00	2.9310E−01	2.8338E+00	3.2338E−01	2.4752E+00
28	1.8605E−01	5.3823E+00	2.5296E−01	3.3403E+00	2.7643E−01	2.9052E+00	3.0452E−01	2.5377E+00
29	1.7732E−01	5.5173E+00	2.3940E−01	3.4201E+00	2.6116E−01	2.9745E+00	2.8729E−01	2.5984E+00
30	1.6925E−01	5.6503E+00	2.2688E−01	3.4978E+00	2.4711E−01	3.0420E+00	2.7150E−01	2.6573E+00
31	1.6176E−01	5.7813E+00	2.1529E−01	3.5736E+00	2.3414E−01	3.1077E+00	2.5697E−01	2.7145E+00
32	1.5482E−01	5.9105E+00	2.0452E−01	3.6476E+00	2.2215E−01	3.1716E+00	2.4356E−01	2.7702E+00
33	1.4837E−01	6.0378E+00	1.9450E−01	3.7199E+00	2.1102E−01	3.2340E+00	2.3116E−01	2.8244E+00
34	1.4236E−01	6.1634E+00	1.8517E−01	3.7908E+00	2.0068E−01	3.2950E+00	2.1966E−01	2.8772E+00
35	1.3677E−01	6.2871E+00	1.7647E−01	3.8602E+00	1.9106E−01	3.3545E+00	2.0899E−01	2.9287E+00
36	1.3155E−01	6.4091E+00	1.6834E−01	3.9282E+00	1.8210E−01	3.4128E+00	1.9906E−01	2.9790E+00
37	1.2667E−01	6.5293E+00	1.6075E−01	3.9950E+00	1.7373E−01	3.4699E+00	1.8981E−01	3.0282E+00
38	1.2209E−01	6.6478E+00	1.5365E−01	4.0605E+00	1.6592E−01	3.5259E+00	1.8119E−01	3.0764E+00
39	1.1778E−01	6.7646E+00	1.4700E−01	4.1249E+00	1.5861E−01	3.5808E+00	1.7313E−01	3.1237E+00
40	1.1373E−01	6.8796E+00	1.4077E−01	4.1882E+00	1.5178E−01	3.6348E+00	1.6560E−01	3.1700E+00
41	1.0989E−01	6.9930E+00	1.3493E−01	4.2505E+00	1.4538E−01	3.6878E+00	1.5855E−01	3.2155E+00
42	1.0626E−01	7.1047E+00	1.2945E−01	4.3117E+00	1.3938E−01	3.7400E+00	1.5195E−01	3.2603E+00
43	1.0281E−01	7.2149E+00	1.2431E−01	4.3720E+00	1.3375E−01	3.7913E+00	1.4576E−01	3.3043E+00
44	9.9531E−02	7.3235E+00	1.1947E−01	4.4314E+00	1.2847E−01	3.8418E+00	1.3995E−01	3.3476E+00
45	9.6396E−02	7.4307E+00	1.1493E−01	4.4899E+00	1.2350E−01	3.8915E+00	1.3449E−01	3.3902E+00
46	9.3398E−02	7.5365E+00	1.1065E−01	4.5475E+00	1.1883E−01	3.9405E+00	1.2935E−01	3.4322E+00
47	9.0523E−02	7.6410E+00	1.0661E−01	4.6042E+00	1.1443E−01	3.9888E+00	1.2452E−01	3.4736E+00
48	8.7761E−02	7.7442E+00	1.0281E−01	4.6602E+00	1.1028E−01	4.0363E+00	1.1996E−01	3.5144E+00
49	8.5104E−02	7.8463E+00	9.9216E−02	4.7153E+00	1.0637E−01	4.0833E+00	1.1566E−01	3.5547E+00
50	8.2543E−02	7.9473E+00	9.5819E−02	4.7697E+00	1.0268E−01	4.1295E+00	1.1160E−01	3.5944E+00
51	8.0072E−02	8.0474E+00	9.2604E−02	4.8234E+00	9.9183E−02	4.1752E+00	1.0777E−01	3.6335E+00
52	7.7685E−02	8.1465E+00	8.9558E−02	4.8763E+00	9.5875E−02	4.2202E+00	1.0414E−01	3.6722E+00
53	7.5375E−02	8.2449E+00	8.6670E−02	4.9286E+00	9.2741E−02	4.2647E+00	1.0069E−01	3.7104E+00
54	7.3140E−02	8.3426E+00	8.3928E−02	4.9802E+00	8.9769E−02	4.3086E+00	9.7431E−02	3.7480E+00
55	7.0976E−02	8.4396E+00	8.1322E−02	5.0312E+00	8.6946E−02	4.3519E+00	9.4334E−02	3.7852E+00
56	6.8879E−02	8.5362E+00	7.8843E−02	5.0815E+00	8.4262E−02	4.3947E+00	9.1390E−02	3.8220E+00
57	6.6847E−02	8.6324E+00	7.6482E−02	5.1313E+00	8.1709E−02	4.4370E+00	8.8590E−02	3.8583E+00
58	6.4878E−02	8.7283E+00	7.4232E−02	5.1805E+00	7.9277E−02	4.4788E+00	8.5923E−02	3.8942E+00
59	6.2970E−02	8.8240E+00	7.2085E−02	5.2291E+00	7.6958E−02	4.5201E+00	8.3381E−02	3.9296E+00
60	6.1124E−02	8.9197E+00	7.0035E−02	5.2772E+00	7.4745E−02	4.5609E+00	8.0956E−02	3.9646E+00

Tl; [Z=81]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	9.2105E+00	3.9940E−01	1.1194E+01	2.9255E−01	1.1941E+01	2.6432E−01	1.2856E+01	2.3856E−01
1	7.9146E+00	4.5692E−01	9.7722E+00	3.3091E−01	1.0459E+01	2.9821E−01	1.1297E+01	2.6842E−01
2	5.7389E+00	6.0136E−01	7.3448E+00	4.2509E−01	7.9173E+00	3.8108E−01	8.6035E+00	3.4143E−01
3	4.0865E+00	7.8942E−01	5.4453E+00	5.4443E−01	5.9161E+00	4.8553E−01	6.4693E+00	4.3315E−01
4	2.9819E+00	9.9963E−01	4.1276E+00	6.7481E−01	4.5183E+00	5.9907E−01	4.9702E+00	5.3246E−01
5	2.2410E+00	1.2250E+00	3.2058E+00	8.1208E−01	3.5328E+00	7.1809E−01	3.9069E+00	6.3618E−01
6	1.7357E+00	1.4615E+00	2.5465E+00	9.5428E−01	2.8220E+00	8.4095E−01	3.1349E+00	7.4296E−01
7	1.3860E+00	1.7034E+00	2.0666E+00	1.0990E+00	2.2999E+00	9.6569E−01	2.5638E+00	8.5114E−01
8	1.1392E+00	1.9437E+00	1.7115E+00	1.2433E+00	1.9102E+00	1.0899E+00	2.1347E+00	9.5878E−01
9	9.5953E−01	2.1767E+00	1.4438E+00	1.3843E+00	1.6142E+00	1.2114E+00	1.8068E+00	1.0640E+00
10	8.2365E−01	2.3993E+00	1.2374E+00	1.5203E+00	1.3848E+00	1.3286E+00	1.5516E+00	1.1656E+00
11	7.1651E−01	2.6113E+00	1.0741E+00	1.6503E+00	1.2027E+00	1.4407E+00	1.3485E+00	1.2627E+00
12	6.3053E−01	2.8141E+00	9.4333E−01	1.7748E+00	1.0565E+00	1.5480E+00	1.1852E+00	1.3558E+00
13	5.5957E−01	3.0095E+00	8.3598E−01	1.8942E+00	9.3644E−01	1.6510E+00	1.0508E+00	1.4450E+00
14	5.0013E−01	3.1991E+00	7.4629E−01	2.0095E+00	8.3600E−01	1.7503E+00	9.3827E−01	1.5310E+00
15	4.5017E−01	3.3840E+00	6.7064E−01	2.1214E+00	7.5114E−01	1.8468E+00	8.4307E−01	1.6146E+00
16	4.0808E−01	3.5650E+00	6.0630E−01	2.2308E+00	6.7878E−01	1.9410E+00	7.6173E−01	1.6963E+00
17	3.7250E−01	3.7421E+00	5.5123E−01	2.3380E+00	6.1664E−01	2.0334E+00	6.9169E−01	1.7764E+00
18	3.4231E−01	3.9154E+00	5.0382E−01	2.4433E+00	5.6296E−01	2.1243E+00	6.3100E−01	1.8553E+00
19	3.1653E−01	4.0846E+00	4.6281E−01	2.5466E+00	5.1635E−01	2.2137E+00	5.7815E−01	1.9330E+00
20	2.9432E−01	4.2497E+00	4.2714E−01	2.6480E+00	4.7566E−01	2.3015E+00	5.3188E−01	2.0095E+00
21	2.7501E−01	4.4106E+00	3.9594E−01	2.7473E+00	4.3997E−01	2.3878E+00	4.9121E−01	2.0847E+00
22	2.5802E−01	4.5675E+00	3.6846E−01	2.8443E+00	4.0850E−01	2.4722E+00	4.5527E−01	2.1584E+00
23	2.4292E−01	4.7204E+00	3.4410E−01	2.9389E+00	3.8058E−01	2.5547E+00	4.2337E−01	2.2306E+00
24	2.2937E−01	4.8698E+00	3.2236E−01	3.0311E+00	3.5567E−01	2.6352E+00	3.9491E−01	2.3012E+00
25	2.1709E−01	5.0159E+00	3.0281E−01	3.1208E+00	3.3332E−01	2.7136E+00	3.6939E−01	2.3699E+00
26	2.0591E−01	5.1590E+00	2.8513E−01	3.2081E+00	3.1315E−01	2.7898E+00	3.4640E−01	2.4368E+00
27	1.9566E−01	5.2995E+00	2.6903E−01	3.2930E+00	2.9484E−01	2.8640E+00	3.2559E−01	2.5018E+00
28	1.8623E−01	5.4376E+00	2.5430E−01	3.3756E+00	2.7815E−01	2.9360E+00	3.0665E−01	2.5650E+00
29	1.7752E−01	5.5734E+00	2.4075E−01	3.4560E+00	2.6285E−01	3.0061E+00	2.8936E−01	2.6263E+00
30	1.6948E−01	5.7071E+00	2.2824E−01	3.5344E+00	2.4879E−01	3.0743E+00	2.7351E−01	2.6859E+00
31	1.6202E−01	5.8390E+00	2.1666E−01	3.6109E+00	2.3581E−01	3.1406E+00	2.5893E−01	2.7438E+00
32	1.5511E−01	5.9690E+00	2.0590E−01	3.6856E+00	2.2379E−01	3.2053E+00	2.4547E−01	2.8002E+00
33	1.4869E−01	6.0971E+00	1.9589E−01	3.7586E+00	2.1264E−01	3.2683E+00	2.3302E−01	2.8550E+00
34	1.4272E−01	6.2235E+00	1.8656E−01	3.8301E+00	2.0228E−01	3.3299E+00	2.2148E−01	2.9084E+00
35	1.3715E−01	6.3482E+00	1.7785E−01	3.9001E+00	1.9263E−01	3.3901E+00	2.1076E−01	2.9606E+00
36	1.3196E−01	6.4711E+00	1.6971E−01	3.9688E+00	1.8363E−01	3.4490E+00	2.0078E−01	3.0115E+00
37	1.2711E−01	6.5923E+00	1.6209E−01	4.0361E+00	1.7523E−01	3.5067E+00	1.9148E−01	3.0613E+00
38	1.2256E−01	6.7117E+00	1.5496E−01	4.1023E+00	1.6738E−01	3.5633E+00	1.8280E−01	3.1100E+00
39	1.1829E−01	6.8294E+00	1.4828E−01	4.1673E+00	1.6003E−01	3.6187E+00	1.7469E−01	3.1578E+00
40	1.1426E−01	6.9454E+00	1.4202E−01	4.2311E+00	1.5315E−01	3.6732E+00	1.6710E−01	3.2046E+00
41	1.1046E−01	7.0598E+00	1.3615E−01	4.2940E+00	1.4671E−01	3.7268E+00	1.6000E−01	3.2506E+00
42	1.0686E−01	7.1725E+00	1.3063E−01	4.3558E+00	1.4066E−01	3.7794E+00	1.5334E−01	3.2958E+00
43	1.0344E−01	7.2836E+00	1.2545E−01	4.4166E+00	1.3499E−01	3.8312E+00	1.4709E−01	3.3402E+00
44	1.0019E−01	7.3932E+00	1.2058E−01	4.4765E+00	1.2966E−01	3.8821E+00	1.4123E−01	3.3839E+00
45	9.7080E−02	7.5013E+00	1.1600E−01	4.5355E+00	1.2464E−01	3.9323E+00	1.3572E−01	3.4270E+00
46	9.4106E−02	7.6080E+00	1.1168E−01	4.5936E+00	1.1993E−01	3.9818E+00	1.3053E−01	3.4694E+00
47	9.1253E−02	7.7134E+00	1.0761E−01	4.6508E+00	1.1548E−01	4.0305E+00	1.2565E−01	3.5111E+00
48	8.8512E−02	7.8175E+00	1.0376E−01	4.7073E+00	1.1129E−01	4.0785E+00	1.2105E−01	3.5523E+00
49	8.5872E−02	7.9204E+00	1.0013E−01	4.7629E+00	1.0734E−01	4.1258E+00	1.1671E−01	3.5929E+00
50	8.3324E−02	8.0222E+00	9.6702E−02	4.8178E+00	1.0361E−01	4.1725E+00	1.1260E−01	3.6329E+00
51	8.0864E−02	8.1230E+00	9.3453E−02	4.8720E+00	1.0007E−01	4.2185E+00	1.0873E−01	3.6725E+00
52	7.8483E−02	8.2228E+00	9.0375E−02	4.9254E+00	9.6730E−02	4.2640E+00	1.0506E−01	3.7114E+00
53	7.6177E−02	8.3218E+00	8.7456E−02	4.9781E+00	9.3562E−02	4.3088E+00	1.0158E−01	3.7499E+00
54	7.3942E−02	8.4201E+00	8.4684E−02	5.0302E+00	9.0557E−02	4.3531E+00	9.8283E−02	3.7879E+00
55	7.1773E−02	8.5178E+00	8.2049E−02	5.0816E+00	8.7704E−02	4.3968E+00	9.5154E−02	3.8255E+00
56	6.9669E−02	8.6149E+00	7.9543E−02	5.1324E+00	8.4992E−02	4.4400E+00	9.2179E−02	3.8625E+00
57	6.7625E−02	8.7116E+00	7.7157E−02	5.1826E+00	8.2411E−02	4.4826E+00	8.9350E−02	3.8991E+00
58	6.5641E−02	8.8080E+00	7.4882E−02	5.2322E+00	7.9953E−02	4.5248E+00	8.6657E−02	3.9353E+00
59	6.3714E−02	8.9042E+00	7.2712E−02	5.2812E+00	7.7610E−02	4.5664E+00	8.4090E−02	3.9711E+00
60	6.1845E−02	9.0003E+00	7.0639E−02	5.3298E+00	7.5374E−02	4.6076E+00	8.1641E−02	4.0064E+00

Pb; [Z=82]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	9.6136E+00	3.9757E−01	1.1662E+01	2.9059E−01	1.2436E+01	2.6253E−01	1.3386E+01	2.3696E−01
1	8.2645E+00	4.5390E−01	1.0184E+01	3.2827E−01	1.0895E+01	2.9585E−01	1.1765E+01	2.6634E−01
2	5.9257E+00	6.0212E−01	7.5761E+00	4.2504E−01	8.1652E+00	3.8106E−01	8.8720E+00	3.4146E−01
3	4.1547E+00	8.0058E−01	5.5382E+00	5.5077E−01	6.0180E+00	4.9111E−01	6.5818E+00	4.3812E−01
4	3.0066E+00	1.0203E+00	4.1641E+00	6.8679E−01	4.5595E+00	6.0954E−01	5.0171E+00	5.4170E−01
5	2.2543E+00	1.2507E+00	3.2252E+00	8.2711E−01	3.5553E+00	7.3123E−01	3.9331E+00	6.4777E−01
6	1.7456E+00	1.4887E+00	2.5609E+00	9.7046E−01	2.8389E+00	8.5513E−01	3.1548E+00	7.5548E−01
7	1.3935E+00	1.7310E+00	2.0783E+00	1.1157E+00	2.3139E+00	9.8034E−01	2.5806E+00	8.6411E−01
8	1.1445E+00	1.9721E+00	1.7208E+00	1.2606E+00	1.9216E+00	1.1052E+00	2.1485E+00	9.7231E−01
9	9.6355E−01	2.2067E+00	1.4510E+00	1.4028E+00	1.6232E+00	1.2277E+00	1.8179E+00	1.0785E+00
10	8.2709E−01	2.4314E+00	1.2430E+00	1.5404E+00	1.3918E+00	1.3463E+00	1.5604E+00	1.1813E+00
11	7.1981E−01	2.6456E+00	1.0787E+00	1.6722E+00	1.2085E+00	1.4600E+00	1.3557E+00	1.2799E+00
12	6.3387E−01	2.8503E+00	9.4731E−01	1.7984E+00	1.0614E+00	1.5689E+00	1.1911E+00	1.3743E+00
13	5.6292E−01	3.0471E+00	8.3957E−01	1.9193E+00	9.4072E−01	1.6732E+00	1.0560E+00	1.4647E+00
14	5.0333E−01	3.2378E+00	7.4962E−01	2.0357E+00	8.3990E−01	1.7736E+00	9.4293E−01	1.5517E+00
15	4.5309E−01	3.4234E+00	6.7374E−01	2.1485E+00	7.5476E−01	1.8708E+00	8.4738E−01	1.6360E+00
16	4.1061E−01	3.6050E+00	6.0917E−01	2.2584E+00	6.8217E−01	1.9655E+00	7.6576E−01	1.7181E+00
17	3.7460E−01	3.7827E+00	5.5386E−01	2.3659E+00	6.1980E−01	2.0582E+00	6.9549E−01	1.7985E+00
18	3.4397E−01	3.9566E+00	5.0621E−01	2.4714E+00	5.6589E−01	2.1493E+00	6.3458E−01	1.8775E+00
19	3.1780E−01	4.1266E+00	4.6495E−01	2.5750E+00	5.1905E−01	2.2388E+00	5.8150E−01	1.9552E+00
20	2.9526E−01	4.2926E+00	4.2906E−01	2.6765E+00	4.7816E−01	2.3267E+00	5.3503E−01	2.0318E+00
21	2.7568E−01	4.4544E+00	3.9766E−01	2.7761E+00	4.4228E−01	2.4131E+00	4.9415E−01	2.1071E+00
22	2.5850E−01	4.6122E+00	3.7002E−01	2.8734E+00	4.1064E−01	2.4978E+00	4.5803E−01	2.1810E+00
23	2.4326E−01	4.7661E+00	3.4555E−01	2.9685E+00	3.8258E−01	2.5806E+00	4.2597E−01	2.2535E+00
24	2.2961E−01	4.9165E+00	3.2372E−01	3.0611E+00	3.5756E−01	2.6615E+00	3.9737E−01	2.3244E+00
25	2.1729E−01	5.0635E+00	3.0412E−01	3.1514E+00	3.3512E−01	2.7404E+00	3.7173E−01	2.3935E+00
26	2.0608E−01	5.2076E+00	2.8640E−01	3.2393E+00	3.1489E−01	2.8172E+00	3.4863E−01	2.4609E+00
27	1.9582E−01	5.3489E+00	2.7030E−01	3.3249E+00	2.9653E−01	2.8920E+00	3.2773E−01	2.5265E+00
28	1.8640E−01	5.4877E+00	2.5557E−01	3.4081E+00	2.7981E−01	2.9647E+00	3.0873E−01	2.5903E+00
29	1.7771E−01	5.6244E+00	2.4203E−01	3.4893E+00	2.6449E−01	3.0354E+00	2.9138E−01	2.6523E+00
30	1.6968E−01	5.7589E+00	2.2954E−01	3.5684E+00	2.5041E−01	3.1042E+00	2.7548E−01	2.7125E+00
31	1.6225E−01	5.8916E+00	2.1797E−01	3.6455E+00	2.3741E−01	3.1713E+00	2.6084E−01	2.7711E+00
32	1.5536E−01	6.0223E+00	2.0722E−01	3.7209E+00	2.2538E−01	3.2366E+00	2.4734E−01	2.8281E+00
33	1.4897E−01	6.1513E+00	1.9722E−01	3.7946E+00	2.1421E−01	3.3003E+00	2.3485E−01	2.8836E+00
34	1.4302E−01	6.2786E+00	1.8789E−01	3.8667E+00	2.0383E−01	3.3625E+00	2.2326E−01	2.9377E+00
35	1.3748E−01	6.4041E+00	1.7918E−01	3.9373E+00	1.9416E−01	3.4233E+00	2.1249E−01	2.9904E+00
36	1.3232E−01	6.5279E+00	1.7103E−01	4.0065E+00	1.8513E−01	3.4828E+00	2.0247E−01	3.0419E+00
37	1.2750E−01	6.6500E+00	1.6340E−01	4.0745E+00	1.7670E−01	3.5411E+00	1.9312E−01	3.0923E+00
38	1.2298E−01	6.7704E+00	1.5625E−01	4.1412E+00	1.6882E−01	3.5982E+00	1.8439E−01	3.1415E+00
39	1.1874E−01	6.8891E+00	1.4955E−01	4.2068E+00	1.6143E−01	3.6542E+00	1.7623E−01	3.1898E+00
40	1.1474E−01	7.0061E+00	1.4326E−01	4.2712E+00	1.5451E−01	3.7092E+00	1.6860E−01	3.2372E+00
41	1.1098E−01	7.1214E+00	1.3735E−01	4.3346E+00	1.4803E−01	3.7633E+00	1.6144E−01	3.2836E+00
42	1.0741E−01	7.2351E+00	1.3181E−01	4.3969E+00	1.4194E−01	3.8164E+00	1.5473E−01	3.3293E+00
43	1.0402E−01	7.3471E+00	1.2659E−01	4.4583E+00	1.3622E−01	3.8687E+00	1.4844E−01	3.3741E+00
44	1.0080E−01	7.4577E+00	1.2169E−01	4.5187E+00	1.3084E−01	3.9201E+00	1.4252E−01	3.4183E+00
45	9.7720E−02	7.5667E+00	1.1707E−01	4.5782E+00	1.2579E−01	3.9707E+00	1.3696E−01	3.4617E+00
46	9.4775E−02	7.6743E+00	1.1271E−01	4.6368E+00	1.2103E−01	4.0206E+00	1.3173E−01	3.5045E+00
47	9.1949E−02	7.7806E+00	1.0860E−01	4.6946E+00	1.1654E−01	4.0697E+00	1.2679E−01	3.5466E+00
48	8.9231E−02	7.8855E+00	1.0472E−01	4.7516E+00	1.1231E−01	4.1182E+00	1.2215E−01	3.5882E+00
49	8.6612E−02	7.9892E+00	1.0106E−01	4.8077E+00	1.0832E−01	4.1659E+00	1.1776E−01	3.6291E+00
50	8.4083E−02	8.0918E+00	9.7593E−02	4.8631E+00	1.0454E−01	4.2130E+00	1.1362E−01	3.6695E+00
51	8.1637E−02	8.1933E+00	9.4312E−02	4.9177E+00	1.0098E−01	4.2595E+00	1.0970E−01	3.7093E+00
52	7.9268E−02	8.2939E+00	9.1202E−02	4.9716E+00	9.7596E−02	4.3053E+00	1.0599E−01	3.7487E+00
53	7.6970E−02	8.3936E+00	8.8252E−02	5.0248E+00	9.4394E−02	4.3505E+00	1.0247E−01	3.7875E+00
54	7.4739E−02	8.4925E+00	8.5450E−02	5.0773E+00	9.1356E−02	4.3952E+00	9.9143E−02	3.8258E+00
55	7.2571E−02	8.5907E+00	8.2787E−02	5.1291E+00	8.8471E−02	4.4393E+00	9.5980E−02	3.8636E+00
56	7.0463E−02	8.6884E+00	8.0254E−02	5.1803E+00	8.5730E−02	4.4828E+00	9.2975E−02	3.9010E+00
57	6.8412E−02	8.7856E+00	7.7842E−02	5.2310E+00	8.3122E−02	4.5258E+00	9.0117E−02	3.9379E+00
58	6.6416E−02	8.8825E+00	7.5542E−02	5.2810E+00	8.0638E−02	4.5683E+00	8.7396E−02	3.9744E+00
59	6.4474E−02	8.9791E+00	7.3349E−02	5.3305E+00	7.8270E−02	4.6103E+00	8.4803E−02	4.0104E+00
60	6.2586E−02	9.0756E+00	7.1254E−02	5.3794E+00	7.6011E−02	4.6519E+00	8.2330E−02	4.0461E+00

Bi; [Z=83]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.0041E+01	3.9630E−01	1.2160E+01	2.8892E−01	1.2962E+01	2.6098E−01	1.3950E+01	2.3554E−01
1	8.6225E+00	4.5221E−01	1.0606E+01	3.2640E−01	1.1343E+01	2.9415E−01	1.2246E+01	2.6483E−01
2	6.1233E+00	6.0352E−01	7.8215E+00	4.2529E−01	8.4282E+00	3.8127E−01	9.1568E+00	3.4168E−01
3	4.2324E+00	8.1143E−01	5.6435E+00	5.5684E−01	6.1331E+00	4.9643E−01	6.7088E+00	4.4284E−01
4	3.0352E+00	1.0414E+00	4.2057E+00	6.9896E−01	4.6063E+00	6.2016E−01	5.0701E+00	5.5106E−01
5	2.2688E+00	1.2781E+00	3.2456E+00	8.4310E−01	3.5788E+00	7.4517E−01	3.9604E+00	6.6004E−01
6	1.7560E+00	1.5186E+00	2.5750E+00	9.8806E−01	2.8554E+00	8.7051E−01	3.1743E+00	7.6903E−01
7	1.4014E+00	1.7613E+00	2.0898E+00	1.1338E+00	2.3275E+00	9.9623E−01	2.5968E+00	8.7814E−01
8	1.1503E+00	2.0028E+00	1.7301E+00	1.2791E+00	1.9329E+00	1.1215E+00	2.1622E+00	9.8675E−01
9	9.6782E−01	2.2386E+00	1.4583E+00	1.4223E+00	1.6323E+00	1.2449E+00	1.8292E+00	1.0936E+00
10	8.3059E−01	2.4653E+00	1.2488E+00	1.5612E+00	1.3991E+00	1.3647E+00	1.5695E+00	1.1975E+00
11	7.2309E−01	2.6815E+00	1.0835E+00	1.6947E+00	1.2144E+00	1.4799E+00	1.3631E+00	1.2975E+00
12	6.3718E−01	2.8881E+00	9.5137E−01	1.8226E+00	1.0664E+00	1.5903E+00	1.1973E+00	1.3933E+00
13	5.6627E−01	3.0865E+00	8.4322E−01	1.9451E+00	9.4508E−01	1.6961E+00	1.0612E+00	1.4850E+00
14	5.0660E−01	3.2783E+00	7.5299E−01	2.0628E+00	8.4386E−01	1.7976E+00	9.4765E−01	1.5731E+00
15	4.5614E−01	3.4648E+00	6.7689E−01	2.1765E+00	7.5842E−01	1.8957E+00	8.5170E−01	1.6581E+00
16	4.1331E−01	3.6470E+00	6.1210E−01	2.2871E+00	6.8558E−01	1.9910E+00	7.6979E−01	1.7408E+00
17	3.7689E−01	3.8254E+00	5.5654E−01	2.3951E+00	6.2297E−01	2.0841E+00	6.9927E−01	1.8215E+00
18	3.4584E−01	3.9999E+00	5.0864E−01	2.5008E+00	5.6884E−01	2.1754E+00	6.3813E−01	1.9007E+00
19	3.1926E−01	4.1707E+00	4.6714E−01	2.6046E+00	5.2177E−01	2.2650E+00	5.8483E−01	1.9786E+00
20	2.9638E−01	4.3374E+00	4.3102E−01	2.7064E+00	4.8066E−01	2.3531E+00	5.3815E−01	2.0552E+00
21	2.7651E−01	4.5002E+00	3.9941E−01	2.8062E+00	4.4458E−01	2.4397E+00	4.9707E−01	2.1306E+00
22	2.5910E−01	4.6590E+00	3.7161E−01	2.9039E+00	4.1276E−01	2.5246E+00	4.6077E−01	2.2047E+00
23	2.4370E−01	4.8139E+00	3.4699E−01	2.9993E+00	3.8456E−01	2.6077E+00	4.2853E−01	2.2774E+00
24	2.2994E−01	4.9653E+00	3.2506E−01	3.0925E+00	3.5942E−01	2.6890E+00	3.9979E−01	2.3485E+00
25	2.1755E−01	5.1132E+00	3.0540E−01	3.1833E+00	3.3689E−01	2.7683E+00	3.7402E−01	2.4181E+00
26	2.0629E−01	5.2582E+00	2.8764E−01	3.2718E+00	3.1658E−01	2.8456E+00	3.5082E−01	2.4859E+00
27	1.9601E−01	5.4004E+00	2.7152E−01	3.3579E+00	2.9818E−01	2.9209E+00	3.2983E−01	2.5520E+00
28	1.8658E−01	5.5401E+00	2.5678E−01	3.4419E+00	2.8141E−01	2.9942E+00	3.1076E−01	2.6164E+00
29	1.7789E−01	5.6775E+00	2.4325E−01	3.5236E+00	2.6607E−01	3.0656E+00	2.9334E−01	2.6790E+00
30	1.6987E−01	5.8128E+00	2.3077E−01	3.6034E+00	2.5197E−01	3.1351E+00	2.7739E−01	2.7398E+00
31	1.6246E−01	5.9462E+00	2.1922E−01	3.6812E+00	2.3896E−01	3.2027E+00	2.6271E−01	2.7991E+00
32	1.5558E−01	6.0778E+00	2.0849E−01	3.7572E+00	2.2692E−01	3.2687E+00	2.4917E−01	2.8567E+00
33	1.4921E−01	6.2077E+00	1.9850E−01	3.8315E+00	2.1574E−01	3.3330E+00	2.3664E−01	2.9128E+00
34	1.4328E−01	6.3357E+00	1.8917E−01	3.9042E+00	2.0534E−01	3.3959E+00	2.2501E−01	2.9675E+00
35	1.3777E−01	6.4621E+00	1.8046E−01	3.9755E+00	1.9565E−01	3.4573E+00	2.1420E−01	3.0208E+00
36	1.3263E−01	6.5868E+00	1.7231E−01	4.0453E+00	1.8660E−01	3.5174E+00	2.0413E−01	3.0729E+00
37	1.2784E−01	6.7098E+00	1.6467E−01	4.1139E+00	1.7815E−01	3.5762E+00	1.9474E−01	3.1238E+00
38	1.2335E−01	6.8311E+00	1.5751E−01	4.1811E+00	1.7023E−01	3.6339E+00	1.8597E−01	3.1737E+00
39	1.1913E−01	6.9507E+00	1.5079E−01	4.2473E+00	1.6281E−01	3.6904E+00	1.7776E−01	3.2225E+00
40	1.1517E−01	7.0687E+00	1.4447E−01	4.3122E+00	1.5586E−01	3.7460E+00	1.7008E−01	3.2703E+00
41	1.1144E−01	7.1850E+00	1.3855E−01	4.3762E+00	1.4934E−01	3.8005E+00	1.6288E−01	3.3172E+00
42	1.0791E−01	7.2996E+00	1.3297E−01	4.4390E+00	1.4321E−01	3.8542E+00	1.5612E−01	3.3633E+00
43	1.0455E−01	7.4127E+00	1.2772E−01	4.5009E+00	1.3745E−01	3.9069E+00	1.4978E−01	3.4086E+00
44	1.0136E−01	7.5242E+00	1.2278E−01	4.5619E+00	1.3204E−01	3.9588E+00	1.4381E−01	3.4532E+00
45	9.8317E−02	7.6341E+00	1.1813E−01	4.6219E+00	1.2694E−01	4.0099E+00	1.3820E−01	3.4970E+00
46	9.5402E−02	7.7426E+00	1.1374E−01	4.6810E+00	1.2214E−01	4.0602E+00	1.3292E−01	3.5402E+00
47	9.2606E−02	7.8498E+00	1.0960E−01	4.7393E+00	1.1761E−01	4.1098E+00	1.2794E−01	3.5827E+00
48	8.9916E−02	7.9555E+00	1.0569E−01	4.7968E+00	1.1334E−01	4.1586E+00	1.2325E−01	3.6246E+00
49	8.7322E−02	8.0601E+00	1.0199E−01	4.8534E+00	1.0930E−01	4.2068E+00	1.1882E−01	3.6659E+00
50	8.4816E−02	8.1634E+00	9.8492E−02	4.9092E+00	1.0549E−01	4.2543E+00	1.1463E−01	3.7067E+00
51	8.2389E−02	8.2657E+00	9.5178E−02	4.9643E+00	1.0189E−01	4.3011E+00	1.1067E−01	3.7469E+00
52	8.0036E−02	8.3670E+00	9.2037E−02	5.0187E+00	9.8471E−02	4.3474E+00	1.0693E−01	3.7865E+00
53	7.7751E−02	8.4673E+00	8.9057E−02	5.0723E+00	9.5235E−02	4.3930E+00	1.0338E−01	3.8256E+00
54	7.5528E−02	8.5669E+00	8.6226E−02	5.1253E+00	9.2164E−02	4.4380E+00	1.0001E−01	3.8643E+00
55	7.3365E−02	8.6657E+00	8.3536E−02	5.1776E+00	8.9249E−02	4.4825E+00	9.6814E−02	3.9025E+00
56	7.1258E−02	8.7639E+00	8.0976E−02	5.2292E+00	8.6478E−02	4.5264E+00	9.3778E−02	3.9401E+00
57	6.9203E−02	8.8616E+00	7.8537E−02	5.2803E+00	8.3842E−02	4.5698E+00	9.0890E−02	3.9774E+00
58	6.7200E−02	8.9589E+00	7.6213E−02	5.3307E+00	8.1331E−02	4.6126E+00	8.8141E−02	4.0141E+00
59	6.5247E−02	9.0560E+00	7.3996E−02	5.3806E+00	7.8938E−02	4.6550E+00	8.5522E−02	4.0505E+00
60	6.3343E−02	9.1529E+00	7.1878E−02	5.4299E+00	7.6655E−02	4.6969E+00	8.3024E−02	4.0864E+00

Po; [Z=84]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.0207E+01	4.0280E−01	1.2373E+01	2.9270E−01	1.3191E+01	2.6430E−01	1.4198E+01	2.3850E−01
1	8.8298E+00	4.5584E−01	1.0863E+01	3.2830E−01	1.1618E+01	2.9582E−01	1.2543E+01	2.6633E−01
2	6.2962E+00	6.0432E−01	8.0395E+00	4.2550E−01	8.6624E+00	3.8151E−01	9.4112E+00	3.4197E−01
3	4.3175E+00	8.1693E−01	5.7595E+00	5.6004E−01	6.2598E+00	4.9932E−01	6.8483E+00	4.4549E−01
4	3.0694E+00	1.0565E+00	4.2558E+00	7.0787E−01	4.6624E+00	6.2802E−01	5.1332E+00	5.5805E−01
5	2.2853E+00	1.3011E+00	3.2688E+00	8.5672E−01	3.6053E+00	7.5712E−01	3.9910E+00	6.7060E−01
6	1.7672E+00	1.5453E+00	2.5894E+00	1.0041E+00	2.8721E+00	8.8462E−01	3.1938E+00	7.8150E−01
7	1.4100E+00	1.7891E+00	2.1010E+00	1.1507E+00	2.3407E+00	1.0112E+00	2.6125E+00	8.9136E−01
8	1.1566E+00	2.0309E+00	1.7393E+00	1.2965E+00	1.9439E+00	1.1368E+00	2.1755E+00	1.0003E+00
9	9.7242E−01	2.2676E+00	1.4657E+00	1.4403E+00	1.6414E+00	1.2608E+00	1.8403E+00	1.1078E+00
10	8.3420E−01	2.4959E+00	1.2547E+00	1.5803E+00	1.4065E+00	1.3816E+00	1.5787E+00	1.2125E+00
11	7.2632E−01	2.7139E+00	1.0883E+00	1.7153E+00	1.2204E+00	1.4982E+00	1.3706E+00	1.3137E+00
12	6.4039E−01	2.9225E+00	9.5548E−01	1.8449E+00	1.0714E+00	1.6101E+00	1.2035E+00	1.4108E+00
13	5.6954E−01	3.1224E+00	8.4690E−01	1.9689E+00	9.4950E−01	1.7172E+00	1.0666E+00	1.5039E+00
14	5.0985E−01	3.3154E+00	7.5639E−01	2.0880E+00	8.4785E−01	1.8200E+00	9.5243E−01	1.5931E+00
15	4.5923E−01	3.5028E+00	6.8006E−01	2.2028E+00	7.6210E−01	1.9191E+00	8.5606E−01	1.6790E+00
16	4.1612E−01	3.6858E+00	6.1506E−01	2.3141E+00	6.8900E−01	2.0152E+00	7.7383E−01	1.7623E+00
17	3.7933E−01	3.8647E+00	5.5928E−01	2.4227E+00	6.2617E−01	2.1088E+00	7.0304E−01	1.8435E+00
18	3.4788E−01	4.0400E+00	5.1114E−01	2.5288E+00	5.7180E−01	2.2004E+00	6.4166E−01	1.9230E+00
19	3.2092E−01	4.2114E+00	4.6939E−01	2.6329E+00	5.2451E−01	2.2902E+00	5.8815E−01	2.0010E+00
20	2.9767E−01	4.3791E+00	4.3303E−01	2.7349E+00	4.8318E−01	2.3785E+00	5.4125E−01	2.0777E+00
21	2.7751E−01	4.5427E+00	4.0121E−01	2.8350E+00	4.4690E−01	2.4652E+00	4.9997E−01	2.1532E+00
22	2.5986E−01	4.7025E+00	3.7321E−01	2.9329E+00	4.1489E−01	2.5503E+00	4.6347E−01	2.2274E+00
23	2.4427E−01	4.8585E+00	3.4845E−01	3.0288E+00	3.8653E−01	2.6336E+00	4.3107E−01	2.3003E+00
24	2.3037E−01	5.0108E+00	3.2641E−01	3.1224E+00	3.6126E−01	2.7152E+00	4.0217E−01	2.3717E+00
25	2.1787E−01	5.1597E+00	3.0666E−01	3.2137E+00	3.3862E−01	2.7949E+00	3.7628E−01	2.4416E+00
26	2.0655E−01	5.3056E+00	2.8885E−01	3.3027E+00	3.1824E−01	2.8727E+00	3.5297E−01	2.5099E+00
27	1.9623E−01	5.4487E+00	2.7270E−01	3.3895E+00	2.9978E−01	2.9485E+00	3.3189E−01	2.5764E+00
28	1.8677E−01	5.5892E+00	2.5795E−01	3.4740E+00	2.8297E−01	3.0224E+00	3.1274E−01	2.6413E+00
29	1.7808E−01	5.7275E+00	2.4442E−01	3.5564E+00	2.6760E−01	3.0944E+00	2.9526E−01	2.7044E+00
30	1.7006E−01	5.8636E+00	2.3195E−01	3.6368E+00	2.5348E−01	3.1645E+00	2.7925E−01	2.7659E+00
31	1.6264E−01	5.9978E+00	2.2041E−01	3.7152E+00	2.4046E−01	3.2328E+00	2.6453E−01	2.8257E+00
32	1.5578E−01	6.1302E+00	2.0970E−01	3.7919E+00	2.2841E−01	3.2993E+00	2.5095E−01	2.8840E+00
33	1.4942E−01	6.2608E+00	1.9972E−01	3.8668E+00	2.1722E−01	3.3643E+00	2.3838E−01	2.9407E+00
34	1.4351E−01	6.3898E+00	1.9040E−01	3.9401E+00	2.0681E−01	3.4278E+00	2.2672E−01	2.9960E+00
35	1.3802E−01	6.5170E+00	1.8170E−01	4.0120E+00	1.9710E−01	3.4898E+00	2.1587E−01	3.0499E+00
36	1.3290E−01	6.6426E+00	1.7354E−01	4.0824E+00	1.8804E−01	3.5504E+00	2.0577E−01	3.1026E+00
37	1.2813E−01	6.7665E+00	1.6590E−01	4.1515E+00	1.7956E−01	3.6098E+00	1.9634E−01	3.1541E+00
38	1.2366E−01	6.8887E+00	1.5873E−01	4.2193E+00	1.7162E−01	3.6681E+00	1.8753E−01	3.2044E+00
39	1.1948E−01	7.0093E+00	1.5200E−01	4.2860E+00	1.6418E−01	3.7252E+00	1.7928E−01	3.2538E+00
40	1.1555E−01	7.1282E+00	1.4567E−01	4.3515E+00	1.5719E−01	3.7812E+00	1.7155E−01	3.3021E+00
41	1.1185E−01	7.2454E+00	1.3972E−01	4.4160E+00	1.5064E−01	3.8363E+00	1.6431E−01	3.3495E+00
42	1.0835E−01	7.3610E+00	1.3412E−01	4.4794E+00	1.4447E−01	3.8904E+00	1.5750E−01	3.3961E+00
43	1.0503E−01	7.4750E+00	1.2884E−01	4.5418E+00	1.3868E−01	3.9436E+00	1.5111E−01	3.4418E+00
44	1.0188E−01	7.5874E+00	1.2388E−01	4.6033E+00	1.3322E−01	3.9960E+00	1.4510E−01	3.4868E+00
45	9.8866E−02	7.6983E+00	1.1919E−01	4.6638E+00	1.2809E−01	4.0475E+00	1.3945E−01	3.5311E+00
46	9.5986E−02	7.8078E+00	1.1477E−01	4.7234E+00	1.2325E−01	4.0983E+00	1.3412E−01	3.5746E+00
47	9.3223E−02	7.9158E+00	1.1060E−01	4.7822E+00	1.1868E−01	4.1483E+00	1.2910E−01	3.6175E+00
48	9.0564E−02	8.0224E+00	1.0666E−01	4.8401E+00	1.1437E−01	4.1975E+00	1.2436E−01	3.6598E+00
49	8.7999E−02	8.1278E+00	1.0293E−01	4.8973E+00	1.1030E−01	4.2461E+00	1.1988E−01	3.7015E+00
50	8.5519E−02	8.2319E+00	9.9396E−02	4.9536E+00	1.0645E−01	4.2940E+00	1.1566E−01	3.7425E+00
51	8.3116E−02	8.3350E+00	9.6052E−02	5.0091E+00	1.0281E−01	4.3413E+00	1.1166E−01	3.7831E+00
52	8.0783E−02	8.4369E+00	9.2880E−02	5.0640E+00	9.9356E−02	4.3879E+00	1.0787E−01	3.8231E+00
53	7.8515E−02	8.5380E+00	8.9871E−02	5.1181E+00	9.6086E−02	4.4339E+00	1.0429E−01	3.8625E+00
54	7.6306E−02	8.6381E+00	8.7012E−02	5.1715E+00	9.2983E−02	4.4793E+00	1.0088E−01	3.9015E+00
55	7.4152E−02	8.7375E+00	8.4294E−02	5.2242E+00	9.0037E−02	4.5242E+00	9.7656E−02	3.9400E+00
56	7.2050E−02	8.8363E+00	8.1707E−02	5.2763E+00	8.7236E−02	4.5684E+00	9.4588E−02	3.9780E+00
57	6.9997E−02	8.9345E+00	7.9243E−02	5.3278E+00	8.4572E−02	4.6122E+00	9.1670E−02	4.0155E+00
58	6.7991E−02	9.0323E+00	7.6895E−02	5.3787E+00	8.2034E−02	4.6554E+00	8.8893E−02	4.0526E+00
59	6.6030E−02	9.1297E+00	7.4654E−02	5.4289E+00	7.9616E−02	4.6981E+00	8.6247E−02	4.0892E+00
60	6.4114E−02	9.2270E+00	7.2514E−02	5.4787E+00	7.7309E−02	4.7403E+00	8.3724E−02	4.1254E+00

At; [Z=85]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.0239E+01	4.1248E−01	1.2437E+01	2.9883E−01	1.3265E+01	2.6974E−01	1.4283E+01	2.4336E−01
1	8.9380E+00	4.6234E−01	1.1010E+01	3.3233E−01	1.1777E+01	2.9940E−01	1.2718E+01	2.6955E−01
2	6.4388E+00	6.0566E−01	8.2238E+00	4.2631E−01	8.8612E+00	3.8231E−01	9.6278E+00	3.4277E−01
3	4.4043E+00	8.1918E−01	5.8788E+00	5.6154E−01	6.3903E+00	5.0078E−01	6.9920E+00	4.4692E−01
4	3.1079E+00	1.0666E+00	4.3131E+00	7.1406E−01	4.7264E+00	6.3357E−01	5.2052E+00	5.6307E−01
5	2.3038E+00	1.3199E+00	3.2955E+00	8.6805E−01	3.6357E+00	7.6713E−01	4.0258E+00	6.7952E−01
6	1.7794E+00	1.5693E+00	2.6047E+00	1.0187E+00	2.8896E+00	8.9751E−01	3.2143E+00	7.9294E−01
7	1.4192E+00	1.8149E+00	2.1122E+00	1.1668E+00	2.3537E+00	1.0253E+00	2.6278E+00	9.0395E−01
8	1.1636E+00	2.0573E+00	1.7484E+00	1.3130E+00	1.9547E+00	1.1515E+00	2.1885E+00	1.0134E+00
9	9.7745E−01	2.2946E+00	1.4731E+00	1.4572E+00	1.6504E+00	1.2759E+00	1.8513E+00	1.1212E+00
10	8.3802E−01	2.5240E+00	1.2607E+00	1.5982E+00	1.4139E+00	1.3974E+00	1.5879E+00	1.2267E+00
11	7.2958E−01	2.7438E+00	1.0932E+00	1.7345E+00	1.2265E+00	1.5151E+00	1.3782E+00	1.3288E+00
12	6.4352E−01	2.9541E+00	9.5963E−01	1.8656E+00	1.0766E+00	1.6285E+00	1.2099E+00	1.4272E+00
13	5.7271E−01	3.1556E+00	8.5058E−01	1.9912E+00	9.5397E−01	1.7371E+00	1.0721E+00	1.5215E+00
14	5.1304E−01	3.3499E+00	7.5978E−01	2.1116E+00	8.5186E−01	1.8412E+00	9.5726E−01	1.6119E+00
15	4.6233E−01	3.5383E+00	6.8324E−01	2.2276E+00	7.6580E−01	1.9413E+00	8.6044E−01	1.6989E+00
16	4.1900E−01	3.7220E+00	6.1804E−01	2.3398E+00	6.9244E−01	2.0382E+00	7.7787E−01	1.7830E+00
17	3.8190E−01	3.9016E+00	5.6205E−01	2.4490E+00	6.2938E−01	2.1324E+00	7.0681E−01	1.8647E+00
18	3.5008E−01	4.0775E+00	5.1368E−01	2.5556E+00	5.7478E−01	2.2244E+00	6.4520E−01	1.9445E+00
19	3.2273E−01	4.2497E+00	4.7169E−01	2.6600E+00	5.2727E−01	2.3145E+00	5.9145E−01	2.0227E+00
20	2.9914E−01	4.4181E+00	4.3510E−01	2.7624E+00	4.8572E−01	2.4030E+00	5.4434E−01	2.0996E+00
21	2.7866E−01	4.5827E+00	4.0305E−01	2.8627E+00	4.4923E−01	2.4899E+00	5.0285E−01	2.1752E+00
22	2.6074E−01	4.7435E+00	3.7486E−01	2.9610E+00	4.1703E−01	2.5751E+00	4.6616E−01	2.2496E+00
23	2.4495E−01	4.9005E+00	3.4993E−01	3.0572E+00	3.8850E−01	2.6588E+00	4.3358E−01	2.3226E+00
24	2.3089E−01	5.0538E+00	3.2776E−01	3.1512E+00	3.6309E−01	2.7407E+00	4.0453E−01	2.3943E+00
25	2.1828E−01	5.2037E+00	3.0791E−01	3.2430E+00	3.4034E−01	2.8207E+00	3.7850E−01	2.4644E+00
26	2.0687E−01	5.3506E+00	2.9004E−01	3.3325E+00	3.1986E−01	2.8989E+00	3.5508E−01	2.5330E+00
27	1.9649E−01	5.4946E+00	2.7384E−01	3.4199E+00	3.0134E−01	2.9753E+00	3.3390E−01	2.6000E+00
28	1.8700E−01	5.6360E+00	2.5908E−01	3.5050E+00	2.8449E−01	3.0496E+00	3.1467E−01	2.6654E+00
29	1.7828E−01	5.7751E+00	2.4555E−01	3.5880E+00	2.6908E−01	3.1222E+00	2.9713E−01	2.7290E+00
30	1.7025E−01	5.9120E+00	2.3308E−01	3.6690E+00	2.5494E−01	3.1928E+00	2.8107E−01	2.7910E+00
31	1.6283E−01	6.0470E+00	2.2155E−01	3.7480E+00	2.4191E−01	3.2617E+00	2.6631E−01	2.8514E+00
32	1.5596E−01	6.1802E+00	2.1085E−01	3.8253E+00	2.2984E−01	3.3289E+00	2.5269E−01	2.9103E+00
33	1.4961E−01	6.3117E+00	2.0089E−01	3.9008E+00	2.1865E−01	3.3945E+00	2.4008E−01	2.9676E+00
34	1.4371E−01	6.4414E+00	1.9158E−01	3.9747E+00	2.0823E−01	3.4585E+00	2.2839E−01	3.0235E+00
35	1.3823E−01	6.5695E+00	1.8289E−01	4.0472E+00	1.9851E−01	3.5211E+00	2.1751E−01	3.0780E+00
36	1.3313E−01	6.6959E+00	1.7474E−01	4.1182E+00	1.8944E−01	3.5823E+00	2.0737E−01	3.1312E+00
37	1.2838E−01	6.8207E+00	1.6709E−01	4.1878E+00	1.8094E−01	3.6423E+00	1.9791E−01	3.1833E+00
38	1.2394E−01	6.9438E+00	1.5992E−01	4.2562E+00	1.7298E−01	3.7011E+00	1.8906E−01	3.2342E+00
39	1.1978E−01	7.0653E+00	1.5317E−01	4.3234E+00	1.6552E−01	3.7587E+00	1.8077E−01	3.2840E+00
40	1.1588E−01	7.1852E+00	1.4683E−01	4.3895E+00	1.5851E−01	3.8152E+00	1.7301E−01	3.3328E+00
41	1.1221E−01	7.3034E+00	1.4086E−01	4.4544E+00	1.5192E−01	3.8708E+00	1.6572E−01	3.3807E+00
42	1.0874E−01	7.4200E+00	1.3524E−01	4.5184E+00	1.4572E−01	3.9254E+00	1.5888E−01	3.4278E+00
43	1.0546E−01	7.5349E+00	1.2995E−01	4.5813E+00	1.3990E−01	3.9791E+00	1.5244E−01	3.4740E+00
44	1.0234E−01	7.6483E+00	1.2496E−01	4.6433E+00	1.3441E−01	4.0319E+00	1.4639E−01	3.5194E+00
45	9.9368E−02	7.7601E+00	1.2025E−01	4.7043E+00	1.2923E−01	4.0839E+00	1.4069E−01	3.5640E+00
46	9.6525E−02	7.8705E+00	1.1580E−01	4.7644E+00	1.2435E−01	4.1351E+00	1.3532E−01	3.6080E+00
47	9.3797E−02	7.9794E+00	1.1159E−01	4.8237E+00	1.1975E−01	4.1856E+00	1.3025E−01	3.6513E+00
48	9.1172E−02	8.0869E+00	1.0762E−01	4.8821E+00	1.1540E−01	4.2353E+00	1.2547E−01	3.6939E+00
49	8.8640E−02	8.1931E+00	1.0386E−01	4.9397E+00	1.1130E−01	4.2843E+00	1.2096E−01	3.7360E+00
50	8.6190E−02	8.2980E+00	1.0030E−01	4.9965E+00	1.0741E−01	4.3326E+00	1.1669E−01	3.7774E+00
51	8.3815E−02	8.4018E+00	9.6930E−02	5.0525E+00	1.0373E−01	4.3802E+00	1.1265E−01	3.8183E+00
52	8.1507E−02	8.5045E+00	9.3730E−02	5.1078E+00	1.0025E−01	4.4273E+00	1.0883E−01	3.8586E+00
53	7.9260E−02	8.6062E+00	9.0692E−02	5.1624E+00	9.6946E−02	4.4736E+00	1.0521E−01	3.8984E+00
54	7.7068E−02	8.7070E+00	8.7806E−02	5.2162E+00	9.3811E−02	4.5194E+00	1.0177E−01	3.9377E+00
55	7.4928E−02	8.8070E+00	8.5061E−02	5.2694E+00	9.0834E−02	4.5647E+00	9.8507E−02	3.9765E+00
56	7.2836E−02	8.9063E+00	8.2448E−02	5.3220E+00	8.8004E−02	4.6093E+00	9.5407E−02	4.0148E+00
57	7.0789E−02	9.0050E+00	7.9959E−02	5.3739E+00	8.5311E−02	4.6534E+00	9.2459E−02	4.0526E+00
58	6.8784E−02	9.1032E+00	7.7586E−02	5.4251E+00	8.2747E−02	4.6970E+00	8.9653E−02	4.0900E+00
59	6.6821E−02	9.2011E+00	7.5322E−02	5.4759E+00	8.0303E−02	4.7400E+00	8.6980E−02	4.1269E+00
60	6.4897E−02	9.2987E+00	7.3159E−02	5.5260E+00	7.7972E−02	4.7826E+00	8.4431E−02	4.1635E+00

Rn; [Z=86]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.0192E+01	4.2365E−01	1.2415E+01	3.0614E−01	1.3248E+01	2.7626E−01	1.4271E+01	2.4921E−01
1	8.9775E+00	4.7052E−01	1.1080E+01	3.3764E−01	1.1857E+01	3.0415E−01	1.2808E+01	2.7383E−01
2	6.5512E+00	6.0787E−01	8.3738E+00	4.2787E−01	9.0241E+00	3.8379E−01	9.8062E+00	3.4420E−01
3	4.4885E+00	8.1955E−01	5.9962E+00	5.6211E−01	6.5188E+00	5.0146E−01	7.1338E+00	4.4769E−01
4	3.1495E+00	1.0726E+00	4.3761E+00	7.1803E−01	4.7967E+00	6.3723E−01	5.2840E+00	5.6648E−01
5	2.3241E+00	1.3345E+00	3.3258E+00	8.7715E−01	3.6702E+00	7.7525E−01	4.0653E+00	6.8681E−01
6	1.7923E+00	1.5903E+00	2.6213E+00	1.0318E+00	2.9086E+00	9.0910E−01	3.2363E+00	8.0328E−01
7	1.4292E+00	1.8388E+00	2.1237E+00	1.1819E+00	2.3668E+00	1.0387E+00	2.6432E+00	9.1590E−01
8	1.1712E+00	2.0821E+00	1.7575E+00	1.3289E+00	1.9653E+00	1.1656E+00	2.2011E+00	1.0260E+00
9	9.8302E−01	2.3199E+00	1.4805E+00	1.4735E+00	1.6593E+00	1.2904E+00	1.8621E+00	1.1342E+00
10	8.4213E−01	2.5503E+00	1.2667E+00	1.6151E+00	1.4214E+00	1.4125E+00	1.5970E+00	1.2402E+00
11	7.3293E−01	2.7715E+00	1.0981E+00	1.7524E+00	1.2327E+00	1.5312E+00	1.3859E+00	1.3432E+00
12	6.4661E−01	2.9835E+00	9.6379E−01	1.8849E+00	1.0818E+00	1.6457E+00	1.2164E+00	1.4426E+00
13	5.7577E−01	3.1866E+00	8.5425E−01	2.0120E+00	9.5847E−01	1.7557E+00	1.0776E+00	1.5382E+00
14	5.1614E−01	3.3821E+00	7.6315E−01	2.1339E+00	8.5589E−01	1.8611E+00	9.6214E−01	1.6298E+00
15	4.6539E−01	3.5715E+00	6.8641E−01	2.2511E+00	7.6950E−01	1.9624E+00	8.6484E−01	1.7178E+00
16	4.2191E−01	3.7560E+00	6.2103E−01	2.3643E+00	6.9589E−01	2.0603E+00	7.8193E−01	1.8027E+00
17	3.8454E−01	3.9363E+00	5.6485E−01	2.4743E+00	6.3260E−01	2.1552E+00	7.1058E−01	1.8851E+00
18	3.5240E−01	4.1129E+00	5.1626E−01	2.5815E+00	5.7779E−01	2.2477E+00	6.4872E−01	1.9654E+00
19	3.2470E−01	4.2858E+00	4.7405E−01	2.6863E+00	5.3005E−01	2.3382E+00	5.9475E−01	2.0439E+00
20	3.0075E−01	4.4551E+00	4.3722E−01	2.7890E+00	4.8828E−01	2.4269E+00	5.4742E−01	2.1210E+00
21	2.7996E−01	4.6206E+00	4.0495E−01	2.8896E+00	4.5158E−01	2.5139E+00	5.0573E−01	2.1968E+00
22	2.6177E−01	4.7823E+00	3.7655E−01	2.9882E+00	4.1919E−01	2.5994E+00	4.6884E−01	2.2712E+00
23	2.4575E−01	4.9403E+00	3.5145E−01	3.0847E+00	3.9048E−01	2.6833E+00	4.3608E−01	2.3444E+00
24	2.3152E−01	5.0946E+00	3.2913E−01	3.1792E+00	3.6492E−01	2.7654E+00	4.0687E−01	2.4163E+00
25	2.1877E−01	5.2456E+00	3.0917E−01	3.2714E+00	3.4205E−01	2.8458E+00	3.8070E−01	2.4867E+00
26	2.0726E−01	5.3934E+00	2.9122E−01	3.3614E+00	3.2147E−01	2.9244E+00	3.5715E−01	2.5556E+00
27	1.9681E−01	5.5383E+00	2.7497E−01	3.4493E+00	3.0287E−01	3.0012E+00	3.3588E−01	2.6230E+00
28	1.8727E−01	5.6807E+00	2.6017E−01	3.5350E+00	2.8597E−01	3.0761E+00	3.1657E−01	2.6888E+00
29	1.7851E−01	5.8206E+00	2.4663E−01	3.6186E+00	2.7053E−01	3.1491E+00	2.9896E−01	2.7529E+00
30	1.7045E−01	5.9584E+00	2.3416E−01	3.7002E+00	2.5636E−01	3.2203E+00	2.8285E−01	2.8154E+00
31	1.6301E−01	6.0942E+00	2.2264E−01	3.7798E+00	2.4331E−01	3.2898E+00	2.6804E−01	2.8764E+00
32	1.5614E−01	6.2282E+00	2.1195E−01	3.8577E+00	2.3123E−01	3.3576E+00	2.5438E−01	2.9358E+00
33	1.4978E−01	6.3605E+00	2.0200E−01	3.9338E+00	2.2003E−01	3.4237E+00	2.4174E−01	2.9937E+00
34	1.4388E−01	6.4910E+00	1.9271E−01	4.0083E+00	2.0961E−01	3.4883E+00	2.3001E−01	3.0501E+00
35	1.3841E−01	6.6199E+00	1.8402E−01	4.0813E+00	1.9988E−01	3.5515E+00	2.1911E−01	3.1052E+00
36	1.3332E−01	6.7472E+00	1.7588E−01	4.1528E+00	1.9080E−01	3.6133E+00	2.0894E−01	3.1590E+00
37	1.2859E−01	6.8729E+00	1.6825E−01	4.2230E+00	1.8229E−01	3.6738E+00	1.9945E−01	3.2116E+00
38	1.2417E−01	6.9970E+00	1.6107E−01	4.2920E+00	1.7431E−01	3.7331E+00	1.9057E−01	3.2630E+00
39	1.2004E−01	7.1194E+00	1.5432E−01	4.3597E+00	1.6683E−01	3.7912E+00	1.8225E−01	3.3134E+00
40	1.1616E−01	7.2402E+00	1.4797E−01	4.4263E+00	1.5979E−01	3.8483E+00	1.7445E−01	3.3627E+00
41	1.1252E−01	7.3593E+00	1.4199E−01	4.4918E+00	1.5318E−01	3.9044E+00	1.6712E−01	3.4111E+00
42	1.0909E−01	7.4769E+00	1.3635E−01	4.5562E+00	1.4696E−01	3.9594E+00	1.6024E−01	3.4586E+00
43	1.0584E−01	7.5928E+00	1.3104E−01	4.6196E+00	1.4110E−01	4.0136E+00	1.5377E−01	3.5052E+00
44	1.0276E−01	7.7071E+00	1.2602E−01	4.6821E+00	1.3558E−01	4.0669E+00	1.4767E−01	3.5510E+00
45	9.9822E−02	7.8199E+00	1.2129E−01	4.7436E+00	1.3037E−01	4.1193E+00	1.4193E−01	3.5961E+00
46	9.7016E−02	7.9312E+00	1.1681E−01	4.8043E+00	1.2546E−01	4.1710E+00	1.3652E−01	3.6405E+00
47	9.4326E−02	8.0409E+00	1.1259E−01	4.8640E+00	1.2082E−01	4.2219E+00	1.3141E−01	3.6842E+00
48	9.1738E−02	8.1493E+00	1.0859E−01	4.9229E+00	1.1644E−01	4.2720E+00	1.2659E−01	3.7272E+00
49	8.9241E−02	8.2564E+00	1.0480E−01	4.9810E+00	1.1230E−01	4.3214E+00	1.2204E−01	3.7696E+00
50	8.6825E−02	8.3621E+00	1.0121E−01	5.0383E+00	1.0838E−01	4.3701E+00	1.1773E−01	3.8114E+00
51	8.4481E−02	8.4667E+00	9.7812E−02	5.0948E+00	1.0467E−01	4.4182E+00	1.1365E−01	3.8526E+00
52	8.2202E−02	8.5701E+00	9.4584E−02	5.1505E+00	1.0115E−01	4.4656E+00	1.0979E−01	3.8933E+00
53	7.9981E−02	8.6725E+00	9.1519E−02	5.2055E+00	9.7815E−02	4.5124E+00	1.0613E−01	3.9334E+00
54	7.7812E−02	8.7739E+00	8.8607E−02	5.2598E+00	9.4649E−02	4.5585E+00	1.0266E−01	3.9730E+00
55	7.5690E−02	8.8745E+00	8.5836E−02	5.3135E+00	9.1641E−02	4.6041E+00	9.9366E−02	4.0121E+00
56	7.3613E−02	8.9744E+00	8.3198E−02	5.3664E+00	8.8782E−02	4.6491E+00	9.6235E−02	4.0507E+00
57	7.1576E−02	9.0736E+00	8.0684E−02	5.4187E+00	8.6061E−02	4.6936E+00	9.3256E−02	4.0889E+00
58	6.9578E−02	9.1723E+00	7.8287E−02	5.4704E+00	8.3470E−02	4.7375E+00	9.0421E−02	4.1266E+00
59	6.7616E−02	9.2705E+00	7.6000E−02	5.5216E+00	8.1000E−02	4.7809E+00	8.7720E−02	4.1638E+00
60	6.5689E−02	9.3685E+00	7.3815E−02	5.5721E+00	7.8644E−02	4.8238E+00	8.5145E−02	4.2006E+00

Fr; [Z=87]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.4986E+01	3.2129E−01	1.7704E+01	2.3520E−01	1.8776E+01	2.1286E−01	2.0130E+01	1.9247E−01
1	1.0705E+01	4.3797E−01	1.3040E+01	3.1288E−01	1.3917E+01	2.8171E−01	1.5001E+01	2.5356E−01
2	6.7315E+00	6.4961E−01	8.6029E+00	4.4955E−01	9.2706E+00	4.0203E−01	1.0074E+01	3.5974E−01
3	4.5441E+00	8.7458E−01	6.0739E+00	5.9164E−01	6.6045E+00	5.2651E−01	7.2291E+00	4.6919E−01
4	3.1886E+00	1.1283E+00	4.4328E+00	7.4805E−01	4.8599E+00	6.6277E−01	5.3550E+00	5.8845E−01
5	2.3471E+00	1.3946E+00	3.3598E+00	9.0990E−01	3.7086E+00	8.0318E−01	4.1091E+00	7.1090E−01
6	1.8070E+00	1.6564E+00	2.6408E+00	1.0683E+00	2.9307E+00	9.4031E−01	3.2618E+00	8.3024E−01
7	1.4404E+00	1.9089E+00	2.1365E+00	1.2211E+00	2.3813E+00	1.0724E+00	2.6600E+00	9.4499E−01
8	1.1799E+00	2.1539E+00	1.7672E+00	1.3695E+00	1.9764E+00	1.2004E+00	2.2141E+00	1.0562E+00
9	9.8953E−01	2.3926E+00	1.4883E+00	1.5147E+00	1.6684E+00	1.3258E+00	1.8730E+00	1.1649E+00
10	8.4708E−01	2.6240E+00	1.2730E+00	1.6570E+00	1.4289E+00	1.4486E+00	1.6062E+00	1.2715E+00
11	7.3670E−01	2.8464E+00	1.1033E+00	1.7951E+00	1.2390E+00	1.5679E+00	1.3937E+00	1.3751E+00
12	6.4997E−01	3.0600E+00	9.6811E−01	1.9288E+00	1.0871E+00	1.6836E+00	1.2230E+00	1.4756E+00
13	5.7898E−01	3.2646E+00	8.5801E−01	2.0572E+00	9.6304E−01	1.7948E+00	1.0833E+00	1.5722E+00
14	5.1929E−01	3.4614E+00	7.6656E−01	2.1804E+00	8.5997E−01	1.9014E+00	9.6709E−01	1.6649E+00
15	4.6848E−01	3.6519E+00	6.8959E−01	2.2989E+00	7.7322E−01	2.0040E+00	8.6929E−01	1.7540E+00
16	4.2487E−01	3.8372E+00	6.2403E−01	2.4132E+00	6.9935E−01	2.1028E+00	7.8601E−01	1.8399E+00
17	3.8729E−01	4.0182E+00	5.6766E−01	2.5240E+00	6.3583E−01	2.1985E+00	7.1437E−01	1.9230E+00
18	3.5485E−01	4.1954E+00	5.1889E−01	2.6319E+00	5.8081E−01	2.2916E+00	6.5226E−01	2.0038E+00
19	3.2682E−01	4.3690E+00	4.7646E−01	2.7372E+00	5.3286E−01	2.3825E+00	5.9806E−01	2.0827E+00
20	3.0254E−01	4.5391E+00	4.3940E−01	2.8403E+00	4.9088E−01	2.4715E+00	5.5052E−01	2.1601E+00
21	2.8143E−01	4.7054E+00	4.0691E−01	2.9413E+00	4.5397E−01	2.5588E+00	5.0861E−01	2.2360E+00
22	2.6297E−01	4.8681E+00	3.7831E−01	3.0402E+00	4.2138E−01	2.6445E+00	4.7153E−01	2.3106E+00
23	2.4671E−01	5.0271E+00	3.5302E−01	3.1371E+00	3.9249E−01	2.7286E+00	4.3859E−01	2.3840E+00
24	2.3229E−01	5.1825E+00	3.3054E−01	3.2319E+00	3.6677E−01	2.8111E+00	4.0921E−01	2.4560E+00
25	2.1939E−01	5.3345E+00	3.1046E−01	3.3246E+00	3.4376E−01	2.8918E+00	3.8289E−01	2.5266E+00
26	2.0776E−01	5.4833E+00	2.9241E−01	3.4151E+00	3.2308E−01	2.9708E+00	3.5922E−01	2.5959E+00
27	1.9722E−01	5.6292E+00	2.7609E−01	3.5035E+00	3.0439E−01	3.0479E+00	3.3784E−01	2.6636E+00
28	1.8760E−01	5.7724E+00	2.6125E−01	3.5897E+00	2.8743E−01	3.1233E+00	3.1844E−01	2.7297E+00
29	1.7879E−01	5.9132E+00	2.4768E−01	3.6739E+00	2.7194E−01	3.1968E+00	3.0076E−01	2.7943E+00
30	1.7069E−01	6.0519E+00	2.3521E−01	3.7561E+00	2.5774E−01	3.2685E+00	2.8458E−01	2.8574E+00
31	1.6323E−01	6.1885E+00	2.2369E−01	3.8363E+00	2.4467E−01	3.3385E+00	2.6973E−01	2.9188E+00
32	1.5634E−01	6.3233E+00	2.1301E−01	3.9147E+00	2.3258E−01	3.4069E+00	2.5603E−01	2.9787E+00
33	1.4996E−01	6.4564E+00	2.0307E−01	3.9914E+00	2.2137E−01	3.4736E+00	2.4336E−01	3.0372E+00
34	1.4406E−01	6.5878E+00	1.9379E−01	4.0665E+00	2.1094E−01	3.5387E+00	2.3160E−01	3.0942E+00
35	1.3859E−01	6.7175E+00	1.8512E−01	4.1400E+00	2.0121E−01	3.6024E+00	2.2067E−01	3.1498E+00
36	1.3350E−01	6.8457E+00	1.7699E−01	4.2121E+00	1.9211E−01	3.6648E+00	2.1048E−01	3.2042E+00
37	1.2878E−01	6.9722E+00	1.6935E−01	4.2828E+00	1.8360E−01	3.7258E+00	2.0096E−01	3.2573E+00
38	1.2437E−01	7.0972E+00	1.6218E−01	4.3523E+00	1.7561E−01	3.7856E+00	1.9205E−01	3.3092E+00
39	1.2026E−01	7.2205E+00	1.5543E−01	4.4205E+00	1.6811E−01	3.8443E+00	1.8370E−01	3.3601E+00
40	1.1641E−01	7.3422E+00	1.4907E−01	4.4876E+00	1.6106E−01	3.9019E+00	1.7586E−01	3.4099E+00
41	1.1279E−01	7.4623E+00	1.4308E−01	4.5536E+00	1.5443E−01	3.9584E+00	1.6851E−01	3.4588E+00
42	1.0939E−01	7.5808E+00	1.3743E−01	4.6186E+00	1.4818E−01	4.0140E+00	1.6159E−01	3.5067E+00
43	1.0618E−01	7.6977E+00	1.3210E−01	4.6825E+00	1.4229E−01	4.0686E+00	1.5508E−01	3.5538E+00
44	1.0313E−01	7.8130E+00	1.2707E−01	4.7455E+00	1.3674E−01	4.1224E+00	1.4895E−01	3.6001E+00
45	1.0023E−01	7.9267E+00	1.2232E−01	4.8075E+00	1.3151E−01	4.1753E+00	1.4317E−01	3.6456E+00
46	9.7461E−02	8.0389E+00	1.1782E−01	4.8686E+00	1.2656E−01	4.2273E+00	1.3772E−01	3.6903E+00
47	9.4809E−02	8.1496E+00	1.1357E−01	4.9288E+00	1.2190E−01	4.2786E+00	1.3257E−01	3.7344E+00
48	9.2260E−02	8.2588E+00	1.0955E−01	4.9882E+00	1.1748E−01	4.3292E+00	1.2771E−01	3.7778E+00
49	8.9800E−02	8.3667E+00	1.0573E−01	5.0467E+00	1.1330E−01	4.3790E+00	1.2312E−01	3.8206E+00
50	8.7420E−02	8.4732E+00	1.0212E−01	5.1045E+00	1.0935E−01	4.4281E+00	1.1877E−01	3.8627E+00
51	8.5111E−02	8.5786E+00	9.8693E−02	5.1614E+00	1.0561E−01	4.4766E+00	1.1466E−01	3.9043E+00
52	8.2863E−02	8.6827E+00	9.5441E−02	5.2176E+00	1.0206E−01	4.5244E+00	1.1076E−01	3.9453E+00
53	8.0671E−02	8.7858E+00	9.2350E−02	5.2731E+00	9.8691E−02	4.5716E+00	1.0707E−01	3.9858E+00
54	7.8528E−02	8.8878E+00	8.9412E−02	5.3278E+00	9.5494E−02	4.6181E+00	1.0356E−01	4.0257E+00
55	7.6429E−02	8.9890E+00	8.6616E−02	5.3819E+00	9.2457E−02	4.6641E+00	1.0023E−01	4.0651E+00
56	7.4370E−02	9.0894E+00	8.3953E−02	5.4353E+00	8.9569E−02	4.7094E+00	9.7071E−02	4.1041E+00
57	7.2348E−02	9.1891E+00	8.1416E−02	5.4880E+00	8.6820E−02	4.7543E+00	9.4062E−02	4.1425E+00
58	7.0360E−02	9.2883E+00	7.8996E−02	5.5402E+00	8.4202E−02	4.7986E+00	9.1198E−02	4.1805E+00
59	6.8404E−02	9.3869E+00	7.6686E−02	5.5917E+00	8.1707E−02	4.8423E+00	8.8469E−02	4.2180E+00
60	6.6477E−02	9.4853E+00	7.4480E−02	5.6426E+00	7.9326E−02	4.8856E+00	8.5867E−02	4.2551E+00

Ra; [Z=88]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.6691E+01	3.1495E−01	1.9618E+01	2.2844E−01	2.0782E+01	2.0642E−01	2.2262E+01	1.8643E−01
1	1.1932E+01	4.2553E−01	1.4444E+01	3.0237E−01	1.5393E+01	2.7202E−01	1.6574E+01	2.4470E−01
2	7.0122E+00	6.6802E−01	8.9517E+00	4.5834E−01	9.6437E+00	4.0928E−01	1.0477E+01	3.6584E−01
3	4.6033E+00	9.1683E−01	6.1543E+00	6.1453E−01	6.6928E+00	5.4600E−01	7.3270E+00	4.8598E−01
4	3.2239E+00	1.1739E+00	4.4825E+00	7.7296E−01	4.9152E+00	6.8404E−01	5.4172E+00	6.0682E−01
5	2.3704E+00	1.4419E+00	3.3942E+00	9.3596E−01	3.7474E+00	8.2550E−01	4.1533E+00	7.3023E−01
6	1.8223E+00	1.7079E+00	2.6623E+00	1.0971E+00	2.9553E+00	9.6506E−01	3.2901E+00	8.5171E−01
7	1.4518E+00	1.9649E+00	2.1504E+00	1.2529E+00	2.3972E+00	1.0997E+00	2.6785E+00	9.6875E−01
8	1.1891E+00	2.2127E+00	1.7773E+00	1.4033E+00	1.9878E+00	1.2297E+00	2.2274E+00	1.0816E+00
9	9.9688E−01	2.4528E+00	1.4963E+00	1.5497E+00	1.6775E+00	1.3560E+00	1.8837E+00	1.1913E+00
10	8.5269E−01	2.6853E+00	1.2794E+00	1.6926E+00	1.4364E+00	1.4794E+00	1.6152E+00	1.2984E+00
11	7.4116E−01	2.9089E+00	1.1085E+00	1.8315E+00	1.2453E+00	1.5995E+00	1.4014E+00	1.4026E+00
12	6.5362E−01	3.1238E+00	9.7251E−01	1.9661E+00	1.0924E+00	1.7160E+00	1.2295E+00	1.5038E+00
13	5.8225E−01	3.3298E+00	8.6181E−01	2.0957E+00	9.6765E−01	1.8282E+00	1.0890E+00	1.6014E+00
14	5.2244E−01	3.5279E+00	7.6997E−01	2.2202E+00	8.6405E−01	1.9361E+00	9.7207E−01	1.6952E+00
15	4.7155E−01	3.7194E+00	6.9275E−01	2.3399E+00	7.7694E−01	2.0397E+00	8.7376E−01	1.7854E+00
16	4.2783E−01	3.9056E+00	6.2701E−01	2.4553E+00	7.0280E−01	2.1396E+00	7.9009E−01	1.8722E+00
17	3.9006E−01	4.0874E+00	5.7048E−01	2.5670E+00	6.3907E−01	2.2361E+00	7.1816E−01	1.9561E+00
18	3.5737E−01	4.2652E+00	5.2152E−01	2.6756E+00	5.8384E−01	2.3299E+00	6.5580E−01	2.0375E+00
19	3.2905E−01	4.4395E+00	4.7889E−01	2.7815E+00	5.3569E−01	2.4214E+00	6.0138E−01	2.1169E+00
20	3.0445E−01	4.6103E+00	4.4163E−01	2.8851E+00	4.9350E−01	2.5108E+00	5.5361E−01	2.1946E+00
21	2.8304E−01	4.7775E+00	4.0892E−01	2.9864E+00	4.5638E−01	2.5984E+00	5.1150E−01	2.2708E+00
22	2.6430E−01	4.9411E+00	3.8011E−01	3.0858E+00	4.2360E−01	2.6844E+00	4.7422E−01	2.3456E+00
23	2.4780E−01	5.1010E+00	3.5463E−01	3.1830E+00	3.9453E−01	2.7687E+00	4.4110E−01	2.4191E+00
24	2.3317E−01	5.2574E+00	3.3199E−01	3.2782E+00	3.6864E−01	2.8514E+00	4.1154E−01	2.4913E+00
25	2.2010E−01	5.4104E+00	3.1177E−01	3.3713E+00	3.4549E−01	2.9324E+00	3.8507E−01	2.5622E+00
26	2.0834E−01	5.5603E+00	2.9361E−01	3.4623E+00	3.2469E−01	3.0117E+00	3.6127E−01	2.6316E+00
27	1.9769E−01	5.7072E+00	2.7721E−01	3.5512E+00	3.0591E−01	3.0893E+00	3.3977E−01	2.6997E+00
28	1.8799E−01	5.8513E+00	2.6232E−01	3.6380E+00	2.8886E−01	3.1650E+00	3.2028E−01	2.7662E+00
29	1.7912E−01	5.9931E+00	2.4871E−01	3.7227E+00	2.7333E−01	3.2390E+00	3.0253E−01	2.8312E+00
30	1.7097E−01	6.1326E+00	2.3622E−01	3.8054E+00	2.5909E−01	3.3113E+00	2.8629E−01	2.8946E+00
31	1.6347E−01	6.2701E+00	2.2470E−01	3.8862E+00	2.4599E−01	3.3818E+00	2.7138E−01	2.9566E+00
32	1.5655E−01	6.4057E+00	2.1402E−01	3.9652E+00	2.3389E−01	3.4507E+00	2.5764E−01	3.0170E+00
33	1.5015E−01	6.5396E+00	2.0409E−01	4.0425E+00	2.2266E−01	3.5179E+00	2.4494E−01	3.0760E+00
34	1.4424E−01	6.6718E+00	1.9482E−01	4.1181E+00	2.1223E−01	3.5836E+00	2.3315E−01	3.1335E+00
35	1.3875E−01	6.8024E+00	1.8616E−01	4.1922E+00	2.0249E−01	3.6479E+00	2.2220E−01	3.1897E+00
36	1.3367E−01	6.9314E+00	1.7804E−01	4.2648E+00	1.9339E−01	3.7107E+00	2.1198E−01	3.2445E+00
37	1.2894E−01	7.0589E+00	1.7042E−01	4.3360E+00	1.8487E−01	3.7723E+00	2.0243E−01	3.2982E+00
38	1.2455E−01	7.1847E+00	1.6325E−01	4.4060E+00	1.7687E−01	3.8326E+00	1.9350E−01	3.3507E+00
39	1.2045E−01	7.3090E+00	1.5650E−01	4.4748E+00	1.6936E−01	3.8918E+00	1.8512E−01	3.4020E+00
40	1.1662E−01	7.4316E+00	1.5014E−01	4.5424E+00	1.6229E−01	3.9499E+00	1.7726E−01	3.4523E+00
41	1.1303E−01	7.5527E+00	1.4415E−01	4.6089E+00	1.5564E−01	4.0069E+00	1.6987E−01	3.5017E+00
42	1.0965E−01	7.6721E+00	1.3849E−01	4.6743E+00	1.4938E−01	4.0629E+00	1.6292E−01	3.5501E+00
43	1.0647E−01	7.7899E+00	1.3315E−01	4.7387E+00	1.4347E−01	4.1180E+00	1.5638E−01	3.5976E+00
44	1.0345E−01	7.9062E+00	1.2810E−01	4.8021E+00	1.3790E−01	4.1722E+00	1.5022E−01	3.6443E+00
45	1.0059E−01	8.0208E+00	1.2333E−01	4.8646E+00	1.3263E−01	4.2255E+00	1.4440E−01	3.6902E+00
46	9.7861E−02	8.1339E+00	1.1881E−01	4.9262E+00	1.2766E−01	4.2780E+00	1.3891E−01	3.7354E+00
47	9.5248E−02	8.2455E+00	1.1454E−01	4.9869E+00	1.2296E−01	4.3298E+00	1.3373E−01	3.7799E+00
48	9.2738E−02	8.3557E+00	1.1050E−01	5.0468E+00	1.1852E−01	4.3808E+00	1.2883E−01	3.8236E+00
49	9.0318E−02	8.4644E+00	1.0666E−01	5.1058E+00	1.1431E−01	4.4310E+00	1.2421E−01	3.8668E+00
50	8.7977E−02	8.5718E+00	1.0303E−01	5.1640E+00	1.1033E−01	4.4805E+00	1.1982E−01	3.9093E+00
51	8.5704E−02	8.6778E+00	9.9575E−02	5.2214E+00	1.0655E−01	4.5294E+00	1.1567E−01	3.9512E+00
52	8.3492E−02	8.7827E+00	9.6298E−02	5.2781E+00	1.0297E−01	4.5776E+00	1.1174E−01	3.9926E+00
53	8.1333E−02	8.8865E+00	9.3183E−02	5.3340E+00	9.9573E−02	4.6251E+00	1.0801E−01	4.0333E+00
54	7.9219E−02	8.9893E+00	9.0221E−02	5.3892E+00	9.6347E−02	4.6720E+00	1.0447E−01	4.0736E+00
55	7.7147E−02	9.0910E+00	8.7402E−02	5.4437E+00	9.3281E−02	4.7184E+00	1.0111E−01	4.1133E+00
56	7.5112E−02	9.1920E+00	8.4716E−02	5.4975E+00	9.0364E−02	4.7641E+00	9.7915E−02	4.1526E+00
57	7.3109E−02	9.2922E+00	8.2156E−02	5.5507E+00	8.7588E−02	4.8093E+00	9.4876E−02	4.1914E+00
58	7.1135E−02	9.3918E+00	7.9713E−02	5.6032E+00	8.4944E−02	4.8540E+00	9.1983E−02	4.2297E+00
59	6.9190E−02	9.4909E+00	7.7381E−02	5.6551E+00	8.2423E−02	4.8980E+00	8.9226E−02	4.2675E+00
60	6.7270E−02	9.5896E+00	7.5153E−02	5.7064E+00	8.0018E−02	4.9416E+00	8.6598E−02	4.3049E+00

Ac; [Z=89]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.6519E+01	3.3109E−01	1.9489E+01	2.3865E−01	2.0660E+01	2.1539E−01	2.2143E+01	1.9437E−01
1	1.2277E+01	4.2997E−01	1.4870E+01	3.0467E−01	1.5848E+01	2.7397E−01	1.7065E+01	2.4639E−01
2	7.2733E+00	6.6761E−01	9.2827E+00	4.5758E−01	9.9986E+00	4.0858E−01	1.0862E+01	3.6523E−01
3	4.6917E+00	9.3102E−01	6.2761E+00	6.2243E−01	6.8259E+00	5.5281E−01	7.4737E+00	4.9195E−01
4	3.2633E+00	1.1975E+00	4.5384E+00	7.8641E−01	4.9773E+00	6.9568E−01	5.4867E+00	6.1702E−01
5	2.3938E+00	1.4703E+00	3.4272E+00	9.5233E−01	3.7845E+00	8.3972E−01	4.1955E+00	7.4270E−01
6	1.8379E+00	1.7405E+00	2.6832E+00	1.1162E+00	2.9789E+00	9.8161E−01	3.3173E+00	8.6624E−01
7	1.4635E+00	2.0010E+00	2.1645E+00	1.2744E+00	2.4132E+00	1.1184E+00	2.6969E+00	9.8522E−01
8	1.1985E+00	2.2513E+00	1.7877E+00	1.4266E+00	1.9996E+00	1.2500E+00	2.2411E+00	1.0995E+00
9	1.0043E+00	2.4929E+00	1.5044E+00	1.5741E+00	1.6868E+00	1.3774E+00	1.8946E+00	1.2101E+00
10	8.5840E−01	2.7265E+00	1.2860E+00	1.7178E+00	1.4441E+00	1.5015E+00	1.6244E+00	1.3179E+00
11	7.4568E−01	2.9514E+00	1.1139E+00	1.8575E+00	1.2517E+00	1.6223E+00	1.4091E+00	1.4228E+00
12	6.5733E−01	3.1676E+00	9.7696E−01	1.9930E+00	1.0978E+00	1.7396E+00	1.2361E+00	1.5247E+00
13	5.8556E−01	3.3750E+00	8.6564E−01	2.1237E+00	9.7230E−01	1.8529E+00	1.0947E+00	1.6232E+00
14	5.2559E−01	3.5744E+00	7.7340E−01	2.2495E+00	8.6816E−01	1.9619E+00	9.7708E−01	1.7180E+00
15	4.7463E−01	3.7670E+00	6.9592E−01	2.3704E+00	7.8067E−01	2.0667E+00	8.7825E−01	1.8092E+00
16	4.3081E−01	3.9541E+00	6.2998E−01	2.4869E+00	7.0625E−01	2.1676E+00	7.9419E−01	1.8970E+00
17	3.9288E−01	4.1366E+00	5.7329E−01	2.5996E+00	6.4229E−01	2.2650E+00	7.2195E−01	1.9818E+00
18	3.5996E−01	4.3151E+00	5.2417E−01	2.7090E+00	5.8687E−01	2.3596E+00	6.5934E−01	2.0639E+00
19	3.3136E−01	4.4901E+00	4.8135E−01	2.8155E+00	5.3852E−01	2.4516E+00	6.0468E−01	2.1438E+00
20	3.0647E−01	4.6616E+00	4.4388E−01	2.9195E+00	4.9613E−01	2.5414E+00	5.5670E−01	2.2218E+00
21	2.8475E−01	4.8295E+00	4.1097E−01	3.0214E+00	4.5881E−01	2.6294E+00	5.1439E−01	2.2983E+00
22	2.6574E−01	4.9940E+00	3.8195E−01	3.1211E+00	4.2583E−01	2.7157E+00	4.7691E−01	2.3733E+00
23	2.4899E−01	5.1549E+00	3.5628E−01	3.2187E+00	3.9658E−01	2.8002E+00	4.4360E−01	2.4470E+00
24	2.3415E−01	5.3124E+00	3.3347E−01	3.3143E+00	3.7052E−01	2.8832E+00	4.1387E−01	2.5194E+00
25	2.2090E−01	5.4664E+00	3.1310E−01	3.4079E+00	3.4722E−01	2.9645E+00	3.8725E−01	2.5905E+00
26	2.0900E−01	5.6173E+00	2.9482E−01	3.4993E+00	3.2629E−01	3.0442E+00	3.6331E−01	2.6602E+00
27	1.9823E−01	5.7652E+00	2.7833E−01	3.5887E+00	3.0741E−01	3.1221E+00	3.4170E−01	2.7285E+00
28	1.8844E−01	5.9103E+00	2.6338E−01	3.6760E+00	2.9029E−01	3.1983E+00	3.2210E−01	2.7954E+00
29	1.7949E−01	6.0530E+00	2.4973E−01	3.7613E+00	2.7469E−01	3.2727E+00	3.0427E−01	2.8608E+00
30	1.7128E−01	6.1934E+00	2.3721E−01	3.8445E+00	2.6041E−01	3.3454E+00	2.8796E−01	2.9247E+00
31	1.6373E−01	6.3318E+00	2.2567E−01	3.9259E+00	2.4728E−01	3.4165E+00	2.7300E−01	2.9870E+00
32	1.5677E−01	6.4682E+00	2.1499E−01	4.0054E+00	2.3516E−01	3.4858E+00	2.5922E−01	3.0480E+00
33	1.5035E−01	6.6030E+00	2.0507E−01	4.0832E+00	2.2392E−01	3.5536E+00	2.4648E−01	3.1074E+00
34	1.4441E−01	6.7360E+00	1.9581E−01	4.1594E+00	2.1348E−01	3.6198E+00	2.3467E−01	3.1655E+00
35	1.3891E−01	6.8674E+00	1.8716E−01	4.2340E+00	2.0373E−01	3.6846E+00	2.2368E−01	3.2221E+00
36	1.3382E−01	6.9973E+00	1.7905E−01	4.3071E+00	1.9463E−01	3.7480E+00	2.1344E−01	3.2775E+00
37	1.2909E−01	7.1256E+00	1.7144E−01	4.3789E+00	1.8610E−01	3.8101E+00	2.0387E−01	3.3317E+00
38	1.2470E−01	7.2524E+00	1.6428E−01	4.4494E+00	1.7810E−01	3.8709E+00	1.9492E−01	3.3846E+00
39	1.2061E−01	7.3776E+00	1.5754E−01	4.5187E+00	1.7058E−01	3.9305E+00	1.8652E−01	3.4365E+00
40	1.1679E−01	7.5012E+00	1.5118E−01	4.5868E+00	1.6350E−01	3.9891E+00	1.7863E−01	3.4873E+00
41	1.1322E−01	7.6232E+00	1.4518E−01	4.6537E+00	1.5684E−01	4.0466E+00	1.7122E−01	3.5371E+00
42	1.0987E−01	7.7436E+00	1.3952E−01	4.7196E+00	1.5056E−01	4.1031E+00	1.6424E−01	3.5859E+00
43	1.0671E−01	7.8624E+00	1.3417E−01	4.7845E+00	1.4463E−01	4.1586E+00	1.5767E−01	3.6339E+00
44	1.0373E−01	7.9796E+00	1.2911E−01	4.8484E+00	1.3903E−01	4.2133E+00	1.5147E−01	3.6810E+00
45	1.0091E−01	8.0952E+00	1.2432E−01	4.9114E+00	1.3375E−01	4.2670E+00	1.4562E−01	3.7274E+00
46	9.8214E−02	8.2092E+00	1.1979E−01	4.9735E+00	1.2875E−01	4.3200E+00	1.4010E−01	3.7729E+00
47	9.5641E−02	8.3217E+00	1.1550E−01	5.0346E+00	1.2402E−01	4.3721E+00	1.3489E−01	3.8178E+00
48	9.3172E−02	8.4328E+00	1.1144E−01	5.0949E+00	1.1955E−01	4.4235E+00	1.2996E−01	3.8620E+00
49	9.0794E−02	8.5424E+00	1.0758E−01	5.1544E+00	1.1531E−01	4.4742E+00	1.2529E−01	3.9055E+00
50	8.8493E−02	8.6506E+00	1.0393E−01	5.2131E+00	1.1130E−01	4.5241E+00	1.2087E−01	3.9484E+00
51	8.6261E−02	8.7575E+00	1.0045E−01	5.2709E+00	1.0750E−01	4.5734E+00	1.1669E−01	3.9906E+00
52	8.4087E−02	8.8631E+00	9.7155E−02	5.3280E+00	1.0389E−01	4.6220E+00	1.1272E−01	4.0323E+00
53	8.1964E−02	8.9676E+00	9.4018E−02	5.3844E+00	1.0046E−01	4.6699E+00	1.0896E−01	4.0735E+00
54	7.9885E−02	9.0710E+00	9.1034E−02	5.4400E+00	9.7207E−02	4.7172E+00	1.0539E−01	4.1140E+00
55	7.7844E−02	9.1734E+00	8.8192E−02	5.4950E+00	9.4112E−02	4.7639E+00	1.0199E−01	4.1541E+00
56	7.5836E−02	9.2749E+00	8.5484E−02	5.5492E+00	9.1168E−02	4.8100E+00	9.8768E−02	4.1937E+00
57	7.3856E−02	9.3757E+00	8.2902E−02	5.6028E+00	8.8365E−02	4.8556E+00	9.5699E−02	4.2327E+00
58	7.1903E−02	9.4757E+00	8.0437E−02	5.6557E+00	8.5695E−02	4.9005E+00	9.2777E−02	4.2713E+00
59	6.9972E−02	9.5752E+00	7.8084E−02	5.7081E+00	8.3148E−02	4.9450E+00	8.9993E−02	4.3095E+00
60	6.8063E−02	9.6743E+00	7.5835E−02	5.7598E+00	8.0719E−02	4.9889E+00	8.7338E−02	4.3471E+00

Th; [Z=90]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.6064E+01	3.4887E−01	1.9046E+01	2.5047E−01	2.0209E+01	2.2590E−01	2.1675E+01	2.0375E−01
1	1.2347E+01	4.3840E−01	1.4991E+01	3.1016E−01	1.5984E+01	2.7884E−01	1.7217E+01	2.5075E−01
2	7.4837E+00	6.6515E−01	9.5564E+00	4.5620E−01	1.0294E+01	4.0745E−01	1.1182E+01	3.6433E−01
3	4.7871E+00	9.3543E−01	6.4103E+00	6.2512E−01	6.9729E+00	5.5525E−01	7.6358E+00	4.9420E−01
4	3.3061E+00	1.2117E+00	4.6007E+00	7.9490E−01	5.0467E+00	7.0314E−01	5.5644E+00	6.2365E−01
5	2.4180E+00	1.4911E+00	3.4615E+00	9.6477E−01	3.8231E+00	8.5062E−01	4.2393E+00	7.5236E−01
6	1.8542E+00	1.7660E+00	2.7045E+00	1.1316E+00	3.0029E+00	9.9517E−01	3.3448E+00	8.7824E−01
7	1.4758E+00	2.0301E+00	2.1789E+00	1.2923E+00	2.4294E+00	1.1342E+00	2.7156E+00	9.9916E−01
8	1.2083E+00	2.2829E+00	1.7983E+00	1.4463E+00	2.0115E+00	1.2674E+00	2.2549E+00	1.1149E+00
9	1.0120E+00	2.5260E+00	1.5128E+00	1.5950E+00	1.6962E+00	1.3959E+00	1.9057E+00	1.2265E+00
10	8.6437E−01	2.7608E+00	1.2927E+00	1.7394E+00	1.4519E+00	1.5207E+00	1.6336E+00	1.3349E+00
11	7.5037E−01	2.9869E+00	1.1194E+00	1.8800E+00	1.2581E+00	1.6422E+00	1.4168E+00	1.4404E+00
12	6.6114E−01	3.2045E+00	9.8150E−01	2.0163E+00	1.1032E+00	1.7602E+00	1.2428E+00	1.5430E+00
13	5.8891E−01	3.4132E+00	8.6951E−01	2.1480E+00	9.7696E−01	1.8744E+00	1.1004E+00	1.6423E+00
14	5.2873E−01	3.6140E+00	7.7683E−01	2.2750E+00	8.7227E−01	1.9845E+00	9.8210E−01	1.7382E+00
15	4.7768E−01	3.8077E+00	6.9907E−01	2.3971E+00	7.8439E−01	2.0904E+00	8.8274E−01	1.8304E+00
16	4.3376E−01	3.9957E+00	6.3294E−01	2.5148E+00	7.0969E−01	2.1924E+00	7.9828E−01	1.9192E+00
17	3.9570E−01	4.1789E+00	5.7609E−01	2.6284E+00	6.4551E−01	2.2908E+00	7.2573E−01	2.0048E+00
18	3.6259E−01	4.3582E+00	5.2681E−01	2.7387E+00	5.8989E−01	2.3861E+00	6.6286E−01	2.0877E+00
19	3.3374E−01	4.5337E+00	4.8383E−01	2.8459E+00	5.4135E−01	2.4788E+00	6.0798E−01	2.1681E+00
20	3.0857E−01	4.7059E+00	4.4617E−01	2.9505E+00	4.9878E−01	2.5691E+00	5.5979E−01	2.2466E+00
21	2.8657E−01	4.8747E+00	4.1305E−01	3.0528E+00	4.6126E−01	2.6575E+00	5.1728E−01	2.3234E+00
22	2.6728E−01	5.0400E+00	3.8384E−01	3.1529E+00	4.2809E−01	2.7441E+00	4.7961E−01	2.3987E+00
23	2.5029E−01	5.2019E+00	3.5797E−01	3.2510E+00	3.9865E−01	2.8290E+00	4.4611E−01	2.4726E+00
24	2.3523E−01	5.3603E+00	3.3498E−01	3.3470E+00	3.7242E−01	2.9122E+00	4.1621E−01	2.5452E+00
25	2.2180E−01	5.5153E+00	3.1446E−01	3.4410E+00	3.4897E−01	2.9938E+00	3.8942E−01	2.6165E+00
26	2.0974E−01	5.6672E+00	2.9605E−01	3.5329E+00	3.2791E−01	3.0738E+00	3.6534E−01	2.6865E+00
27	1.9885E−01	5.8161E+00	2.7946E−01	3.6227E+00	3.0891E−01	3.1521E+00	3.4360E−01	2.7550E+00
28	1.8895E−01	5.9623E+00	2.6443E−01	3.7105E+00	2.9170E−01	3.2287E+00	3.2391E−01	2.8222E+00
29	1.7992E−01	6.1059E+00	2.5073E−01	3.7963E+00	2.7603E−01	3.3035E+00	3.0598E−01	2.8879E+00
30	1.7164E−01	6.2472E+00	2.3818E−01	3.8801E+00	2.6170E−01	3.3767E+00	2.8961E−01	2.9522E+00
31	1.6403E−01	6.3864E+00	2.2662E−01	3.9620E+00	2.4854E−01	3.4482E+00	2.7459E−01	3.0150E+00
32	1.5702E−01	6.5238E+00	2.1593E−01	4.0421E+00	2.3639E−01	3.5181E+00	2.6076E−01	3.0764E+00
33	1.5056E−01	6.6594E+00	2.0601E−01	4.1205E+00	2.2514E−01	3.5863E+00	2.4799E−01	3.1363E+00
34	1.4459E−01	6.7933E+00	1.9677E−01	4.1972E+00	2.1468E−01	3.6531E+00	2.3615E−01	3.1948E+00
35	1.3907E−01	6.9256E+00	1.8812E−01	4.2723E+00	2.0494E−01	3.7183E+00	2.2514E−01	3.2520E+00
36	1.3396E−01	7.0563E+00	1.8002E−01	4.3460E+00	1.9583E−01	3.7822E+00	2.1487E−01	3.3079E+00
37	1.2922E−01	7.1855E+00	1.7242E−01	4.4183E+00	1.8730E−01	3.8448E+00	2.0528E−01	3.3625E+00
38	1.2482E−01	7.3132E+00	1.6527E−01	4.4893E+00	1.7929E−01	3.9061E+00	1.9631E−01	3.4160E+00
39	1.2074E−01	7.4393E+00	1.5853E−01	4.5590E+00	1.7176E−01	3.9663E+00	1.8789E−01	3.4683E+00
40	1.1693E−01	7.5638E+00	1.5218E−01	4.6276E+00	1.6468E−01	4.0253E+00	1.7998E−01	3.5196E+00
41	1.1337E−01	7.6868E+00	1.4618E−01	4.6950E+00	1.5800E−01	4.0833E+00	1.7254E−01	3.5699E+00
42	1.1005E−01	7.8082E+00	1.4052E−01	4.7614E+00	1.5171E−01	4.1402E+00	1.6554E−01	3.6192E+00
43	1.0692E−01	7.9279E+00	1.3516E−01	4.8268E+00	1.4577E−01	4.1962E+00	1.5894E−01	3.6676E+00
44	1.0397E−01	8.0461E+00	1.3009E−01	4.8911E+00	1.4015E−01	4.2513E+00	1.5271E−01	3.7152E+00
45	1.0117E−01	8.1627E+00	1.2530E−01	4.9546E+00	1.3484E−01	4.3055E+00	1.4684E−01	3.7619E+00
46	9.8520E−02	8.2777E+00	1.2076E−01	5.0171E+00	1.2982E−01	4.3589E+00	1.4129E−01	3.8079E+00
47	9.5988E−02	8.3912E+00	1.1645E−01	5.0787E+00	1.2507E−01	4.4114E+00	1.3604E−01	3.8531E+00
48	9.3560E−02	8.5031E+00	1.1237E−01	5.1395E+00	1.2058E−01	4.4633E+00	1.3108E−01	3.8977E+00
49	9.1224E−02	8.6136E+00	1.0850E−01	5.1994E+00	1.1632E−01	4.5143E+00	1.2638E−01	3.9416E+00
50	8.8967E−02	8.7227E+00	1.0482E−01	5.2585E+00	1.1228E−01	4.5646E+00	1.2193E−01	3.9848E+00
51	8.6777E−02	8.8304E+00	1.0133E−01	5.3168E+00	1.0844E−01	4.6143E+00	1.1771E−01	4.0274E+00
52	8.4644E−02	8.9368E+00	9.8010E−02	5.3744E+00	1.0481E−01	4.6632E+00	1.1371E−01	4.0695E+00
53	8.2561E−02	9.0420E+00	9.4852E−02	5.4312E+00	1.0135E−01	4.7116E+00	1.0991E−01	4.1109E+00
54	8.0520E−02	9.1461E+00	9.1847E−02	5.4872E+00	9.8071E−02	4.7593E+00	1.0631E−01	4.1519E+00
55	7.8514E−02	9.2492E+00	8.8984E−02	5.5426E+00	9.4949E−02	4.8063E+00	1.0288E−01	4.1922E+00
56	7.6537E−02	9.3513E+00	8.6255E−02	5.5973E+00	9.1979E−02	4.8528E+00	9.9629E−02	4.2321E+00
57	7.4586E−02	9.4525E+00	8.3652E−02	5.6513E+00	8.9150E−02	4.8987E+00	9.6530E−02	4.2715E+00
58	7.2657E−02	9.5531E+00	8.1167E−02	5.7046E+00	8.6454E−02	4.9440E+00	9.3579E−02	4.3104E+00
59	7.0746E−02	9.6530E+00	7.8794E−02	5.7574E+00	8.3883E−02	4.9889E+00	9.0768E−02	4.3488E+00
60	6.8853E−02	9.7524E+00	7.6525E−02	5.8095E+00	8.1430E−02	5.0331E+00	8.8086E−02	4.3868E+00

Pa; [Z=91]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.5526E+01	3.4745E−01	1.8450E+01	2.5180E−01	1.9588E+01	2.2756E−01	2.1020E+01	2.0560E−01
1	1.1835E+01	4.4153E−01	1.4422E+01	3.1463E−01	1.5390E+01	2.8330E−01	1.6590E+01	2.5511E−01
2	7.2413E+00	6.6824E−01	9.2829E+00	4.6070E−01	1.0008E+01	4.1196E−01	1.0880E+01	3.6876E−01
3	4.7331E+00	9.2483E−01	6.3574E+00	6.2151E−01	6.9197E+00	5.5276E−01	7.5818E+00	4.9254E−01
4	3.3065E+00	1.1884E+00	4.6188E+00	7.8388E−01	5.0696E+00	6.9432E−01	5.5927E+00	6.1655E−01
5	2.4253E+00	1.4621E+00	3.4894E+00	9.5045E−01	3.8568E+00	8.3902E−01	4.2794E+00	7.4289E−01
6	1.8596E+00	1.7373E+00	2.7269E+00	1.1174E+00	3.0304E+00	9.8370E−01	3.3778E+00	8.6892E−01
7	1.4799E+00	2.0048E+00	2.1948E+00	1.2801E+00	2.4490E+00	1.1245E+00	2.7395E+00	9.9145E−01
8	1.2123E+00	2.2614E+00	1.8096E+00	1.4369E+00	2.0255E+00	1.2601E+00	2.2720E+00	1.1093E+00
9	1.0163E+00	2.5080E+00	1.5212E+00	1.5882E+00	1.7065E+00	1.3909E+00	1.9182E+00	1.2230E+00
10	8.6865E−01	2.7455E+00	1.2994E+00	1.7348E+00	1.4598E+00	1.5178E+00	1.6432E+00	1.3331E+00
11	7.5447E−01	2.9739E+00	1.1247E+00	1.8771E+00	1.2645E+00	1.6409E+00	1.4245E+00	1.4401E+00
12	6.6496E−01	3.1932E+00	9.8603E−01	2.0150E+00	1.1085E+00	1.7603E+00	1.2492E+00	1.5440E+00
13	5.9246E−01	3.4036E+00	8.7343E−01	2.1480E+00	9.8151E−01	1.8757E+00	1.1058E+00	1.6444E+00
14	5.3205E−01	3.6057E+00	7.8029E−01	2.2761E+00	8.7627E−01	1.9868E+00	9.8689E−01	1.7411E+00
15	4.8080E−01	3.8007E+00	7.0220E−01	2.3993E+00	7.8799E−01	2.0937E+00	8.8702E−01	1.8342E+00
16	4.3670E−01	3.9897E+00	6.3582E−01	2.5179E+00	7.1298E−01	2.1966E+00	8.0217E−01	1.9238E+00
17	3.9842E−01	4.1737E+00	5.7875E−01	2.6324E+00	6.4856E−01	2.2958E+00	7.2932E−01	2.0101E+00
18	3.6508E−01	4.3537E+00	5.2928E−01	2.7433E+00	5.9273E−01	2.3918E+00	6.6620E−01	2.0936E+00
19	3.3597E−01	4.5300E+00	4.8611E−01	2.8512E+00	5.4400E−01	2.4850E+00	6.1111E−01	2.1746E+00
20	3.1054E−01	4.7028E+00	4.4827E−01	2.9563E+00	5.0124E−01	2.5758E+00	5.6272E−01	2.2535E+00
21	2.8828E−01	4.8723E+00	4.1497E−01	3.0591E+00	4.6355E−01	2.6645E+00	5.2002E−01	2.3306E+00
22	2.6874E−01	5.0384E+00	3.8557E−01	3.1596E+00	4.3020E−01	2.7514E+00	4.8217E−01	2.4062E+00
23	2.5151E−01	5.2011E+00	3.5953E−01	3.2581E+00	4.0059E−01	2.8366E+00	4.4850E−01	2.4803E+00
24	2.3625E−01	5.3604E+00	3.3638E−01	3.3545E+00	3.7421E−01	2.9202E+00	4.1844E−01	2.5531E+00
25	2.2264E−01	5.5164E+00	3.1572E−01	3.4490E+00	3.5062E−01	3.0021E+00	3.9151E−01	2.6247E+00
26	2.1043E−01	5.6693E+00	2.9721E−01	3.5413E+00	3.2945E−01	3.0824E+00	3.6730E−01	2.6948E+00
27	1.9941E−01	5.8191E+00	2.8052E−01	3.6317E+00	3.1035E−01	3.1610E+00	3.4545E−01	2.7637E+00
28	1.8940E−01	5.9662E+00	2.6542E−01	3.7200E+00	2.9306E−01	3.2380E+00	3.2566E−01	2.8312E+00
29	1.8028E−01	6.1107E+00	2.5167E−01	3.8063E+00	2.7732E−01	3.3133E+00	3.0765E−01	2.8972E+00
30	1.7193E−01	6.2529E+00	2.3908E−01	3.8906E+00	2.6294E−01	3.3869E+00	2.9121E−01	2.9619E+00
31	1.6427E−01	6.3931E+00	2.2751E−01	3.9731E+00	2.4974E−01	3.4588E+00	2.7613E−01	3.0251E+00
32	1.5721E−01	6.5313E+00	2.1681E−01	4.0537E+00	2.3757E−01	3.5292E+00	2.6226E−01	3.0869E+00
33	1.5070E−01	6.6677E+00	2.0689E−01	4.1326E+00	2.2630E−01	3.5979E+00	2.4945E−01	3.1473E+00
34	1.4470E−01	6.8024E+00	1.9765E−01	4.2098E+00	2.1584E−01	3.6652E+00	2.3758E−01	3.2063E+00
35	1.3916E−01	6.9356E+00	1.8902E−01	4.2855E+00	2.0609E−01	3.7309E+00	2.2654E−01	3.2639E+00
36	1.3403E−01	7.0672E+00	1.8093E−01	4.3597E+00	1.9698E−01	3.7953E+00	2.1626E−01	3.3203E+00
37	1.2928E−01	7.1974E+00	1.7334E−01	4.4325E+00	1.8844E−01	3.8584E+00	2.0665E−01	3.3754E+00
38	1.2488E−01	7.3259E+00	1.6620E−01	4.5039E+00	1.8044E−01	3.9202E+00	1.9765E−01	3.4293E+00
39	1.2079E−01	7.4530E+00	1.5947E−01	4.5742E+00	1.7290E−01	3.9808E+00	1.8922E−01	3.4821E+00
40	1.1699E−01	7.5785E+00	1.5313E−01	4.6432E+00	1.6582E−01	4.0403E+00	1.8129E−01	3.5339E+00
41	1.1345E−01	7.7025E+00	1.4713E−01	4.7111E+00	1.5913E−01	4.0987E+00	1.7383E−01	3.5846E+00
42	1.1014E−01	7.8249E+00	1.4147E−01	4.7780E+00	1.5283E−01	4.1561E+00	1.6681E−01	3.6344E+00
43	1.0704E−01	7.9457E+00	1.3611E−01	4.8438E+00	1.4687E−01	4.2126E+00	1.6019E−01	3.6832E+00
44	1.0412E−01	8.0649E+00	1.3104E−01	4.9087E+00	1.4124E−01	4.2681E+00	1.5394E−01	3.7312E+00
45	1.0137E−01	8.1825E+00	1.2624E−01	4.9725E+00	1.3592E−01	4.3227E+00	1.4803E−01	3.7784E+00
46	9.8752E−02	8.2985E+00	1.2169E−01	5.0355E+00	1.3088E−01	4.3765E+00	1.4245E−01	3.8247E+00
47	9.6262E−02	8.4129E+00	1.1737E−01	5.0976E+00	1.2611E−01	4.4295E+00	1.3718E−01	3.8704E+00
48	9.3879E−02	8.5258E+00	1.1328E−01	5.1588E+00	1.2159E−01	4.4817E+00	1.3219E−01	3.9153E+00
49	9.1589E−02	8.6372E+00	1.0939E−01	5.2192E+00	1.1731E−01	4.5332E+00	1.2746E−01	3.9596E+00
50	8.9379E−02	8.7472E+00	1.0570E−01	5.2787E+00	1.1324E−01	4.5839E+00	1.2298E−01	4.0032E+00
51	8.7236E−02	8.8558E+00	1.0219E−01	5.3375E+00	1.0939E−01	4.6340E+00	1.1873E−01	4.0462E+00
52	8.5151E−02	8.9630E+00	9.8857E−02	5.3955E+00	1.0573E−01	4.6833E+00	1.1470E−01	4.0886E+00
53	8.3113E−02	9.0690E+00	9.5682E−02	5.4527E+00	1.0225E−01	4.7320E+00	1.1087E−01	4.1304E+00
54	8.1115E−02	9.1738E+00	9.2658E−02	5.5092E+00	9.8939E−02	4.7801E+00	1.0724E−01	4.1716E+00
55	7.9150E−02	9.2775E+00	8.9776E−02	5.5650E+00	9.5792E−02	4.8275E+00	1.0378E−01	4.2123E+00
56	7.7212E−02	9.3802E+00	8.7029E−02	5.6201E+00	9.2796E−02	4.8744E+00	1.0050E−01	4.2525E+00
57	7.5296E−02	9.4821E+00	8.4407E−02	5.6745E+00	8.9943E−02	4.9206E+00	9.7371E−02	4.2922E+00
58	7.3398E−02	9.5831E+00	8.1904E−02	5.7283E+00	8.7223E−02	4.9663E+00	9.4392E−02	4.3314E+00
59	7.1514E−02	9.6834E+00	7.9511E−02	5.7814E+00	8.4628E−02	5.0115E+00	9.1554E−02	4.3701E+00
60	6.9643E−02	9.7833E+00	7.7224E−02	5.8340E+00	8.2152E−02	5.0561E+00	8.8847E−02	4.4084E+00

U; [Z=92]

	10 keV		40 keV		60 keV		90 keV
	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$	$[\|\,f(s)\|]$	$[\eta (s)]$
0	1.5083E+01	3.5370E−01	1.7980E+01	2.5724E−01	1.9103E+01	2.3266E−01	2.0511E+01	2.1038E−01
1	1.1598E+01	4.4626E−01	1.4175E+01	3.1909E−01	1.5136E+01	2.8755E−01	1.6325E+01	2.5913E−01
2	7.1875E+00	6.6900E−01	9.2358E+00	4.6273E−01	9.9621E+00	4.1411E−01	1.0835E+01	3.7094E−01
3	4.7328E+00	9.2179E−01	6.3709E+00	6.2130E−01	6.9374E+00	5.5299E−01	7.6043E+00	4.9309E−01
4	3.3185E+00	1.1823E+00	4.6467E+00	7.8195E−01	5.1024E+00	6.9312E−01	5.6313E+00	6.1589E−01
5	2.4367E+00	1.4547E+00	3.5159E+00	9.4777E−01	3.8880E+00	8.3721E−01	4.3160E+00	7.4175E−01
6	1.8679E+00	1.7309E+00	2.7474E+00	1.1153E+00	3.0548E+00	9.8244E−01	3.4068E+00	8.6830E−01
7	1.4862E+00	2.0009E+00	2.2097E+00	1.2797E+00	2.4670E+00	1.1247E+00	2.7610E+00	9.9213E−01
8	1.2177E+00	2.2604E+00	1.8206E+00	1.4385E+00	2.0387E+00	1.2622E+00	2.2879E+00	1.1116E+00
9	1.0212E+00	2.5096E+00	1.5296E+00	1.5917E+00	1.7165E+00	1.3947E+00	1.9303E+00	1.2269E+00
10	8.7314E−01	2.7492E+00	1.3060E+00	1.7400E+00	1.4677E+00	1.5231E+00	1.6528E+00	1.3384E+00
11	7.5850E−01	2.9795E+00	1.1302E+00	1.8838E+00	1.2709E+00	1.6475E+00	1.4323E+00	1.4466E+00
12	6.6860E−01	3.2005E+00	9.9061E−01	2.0229E+00	1.1140E+00	1.7681E+00	1.2557E+00	1.5515E+00
13	5.9581E−01	3.4124E+00	8.7737E−01	2.1572E+00	9.8616E−01	1.8846E+00	1.1115E+00	1.6529E+00
14	5.3522E−01	3.6160E+00	7.8378E−01	2.2864E+00	8.8035E−01	1.9968E+00	9.9181E−01	1.7506E+00
15	4.8384E−01	3.8121E+00	7.0535E−01	2.4108E+00	7.9165E−01	2.1048E+00	8.9140E−01	1.8447E+00
16	4.3961E−01	4.0022E+00	6.3873E−01	2.5305E+00	7.1634E−01	2.2087E+00	8.0615E−01	1.9352E+00
17	4.0120E−01	4.1871E+00	5.8148E−01	2.6459E+00	6.5167E−01	2.3087E+00	7.3298E−01	2.0223E+00
18	3.6767E−01	4.3678E+00	5.3183E−01	2.7576E+00	5.9564E−01	2.4055E+00	6.6961E−01	2.1065E+00
19	3.3835E−01	4.5447E+00	4.8849E−01	2.8662E+00	5.4672E−01	2.4994E+00	6.1429E−01	2.1881E+00
20	3.1267E−01	4.7182E+00	4.5047E−01	2.9719E+00	5.0378E−01	2.5907E+00	5.6570E−01	2.2675E+00
21	2.9015E−01	4.8885E+00	4.1698E−01	3.0752E+00	4.6591E−01	2.6799E+00	5.2280E−01	2.3450E+00
22	2.7036E−01	5.0553E+00	3.8740E−01	3.1762E+00	4.3238E−01	2.7672E+00	4.8477E−01	2.4209E+00
23	2.5290E−01	5.2189E+00	3.6118E−01	3.2752E+00	4.0260E−01	2.8527E+00	4.5093E−01	2.4953E+00
24	2.3742E−01	5.3791E+00	3.3786E−01	3.3721E+00	3.7606E−01	2.9366E+00	4.2070E−01	2.5683E+00
25	2.2363E−01	5.5360E+00	3.1706E−01	3.4669E+00	3.5232E−01	3.0188E+00	3.9362E−01	2.6400E+00
26	2.1125E−01	5.6898E+00	2.9841E−01	3.5597E+00	3.3101E−01	3.0994E+00	3.6927E−01	2.7104E+00
27	2.0009E−01	5.8406E+00	2.8162E−01	3.6505E+00	3.1181E−01	3.1784E+00	3.4730E−01	2.7796E+00
28	1.8997E−01	5.9886E+00	2.6643E−01	3.7394E+00	2.9442E−01	3.2557E+00	3.2740E−01	2.8473E+00
29	1.8075E−01	6.1341E+00	2.5261E−01	3.8262E+00	2.7861E−01	3.3314E+00	3.0931E−01	2.9137E+00
30	1.7232E−01	6.2773E+00	2.3998E−01	3.9110E+00	2.6417E−01	3.4055E+00	2.9279E−01	2.9787E+00
31	1.6458E−01	6.4183E+00	2.2838E−01	3.9940E+00	2.5093E−01	3.4778E+00	2.7765E−01	3.0423E+00
32	1.5746E−01	6.5574E+00	2.1767E−01	4.0752E+00	2.3873E−01	3.5486E+00	2.6373E−01	3.1045E+00
33	1.5091E−01	6.6947E+00	2.0774E−01	4.1546E+00	2.2744E−01	3.6179E+00	2.5088E−01	3.1653E+00
34	1.4486E−01	6.8303E+00	1.9851E−01	4.2323E+00	2.1696E−01	3.6856E+00	2.3898E−01	3.2247E+00
35	1.3928E−01	6.9643E+00	1.8988E−01	4.3085E+00	2.0721E−01	3.7518E+00	2.2792E−01	3.2828E+00
36	1.3412E−01	7.0968E+00	1.8181E−01	4.3832E+00	1.9809E−01	3.8167E+00	2.1761E−01	3.3397E+00
37	1.2935E−01	7.2278E+00	1.7422E−01	4.4565E+00	1.8956E−01	3.8802E+00	2.0798E−01	3.3952E+00
38	1.2494E−01	7.3574E+00	1.6710E−01	4.5285E+00	1.8155E−01	3.9425E+00	1.9897E−01	3.4496E+00
39	1.2085E−01	7.4854E+00	1.6038E−01	4.5992E+00	1.7401E−01	4.0036E+00	1.9052E−01	3.5029E+00
40	1.1705E−01	7.6119E+00	1.5404E−01	4.6687E+00	1.6692E−01	4.0635E+00	1.8257E−01	3.5551E+00
41	1.1352E−01	7.7368E+00	1.4805E−01	4.7371E+00	1.6023E−01	4.1224E+00	1.7510E−01	3.6063E+00
42	1.1022E−01	7.8602E+00	1.4239E−01	4.8044E+00	1.5392E−01	4.1803E+00	1.6806E−01	3.6565E+00
43	1.0714E−01	7.9820E+00	1.3704E−01	4.8707E+00	1.4795E−01	4.2372E+00	1.6141E−01	3.7057E+00
44	1.0425E−01	8.1023E+00	1.3196E−01	4.9360E+00	1.4231E−01	4.2931E+00	1.5514E−01	3.7542E+00
45	1.0152E−01	8.2209E+00	1.2716E−01	5.0003E+00	1.3698E−01	4.3482E+00	1.4921E−01	3.8017E+00
46	9.8945E−02	8.3379E+00	1.2260E−01	5.0637E+00	1.3192E−01	4.4024E+00	1.4361E−01	3.8485E+00
47	9.6495E−02	8.4534E+00	1.1828E−01	5.1263E+00	1.2713E−01	4.4558E+00	1.3831E−01	3.8946E+00
48	9.4155E−02	8.5672E+00	1.1417E−01	5.1879E+00	1.2260E−01	4.5084E+00	1.3329E−01	3.9399E+00
49	9.1910E−02	8.6796E+00	1.1028E−01	5.2487E+00	1.1829E−01	4.5602E+00	1.2853E−01	3.9845E+00
50	8.9747E−02	8.7905E+00	1.0657E−01	5.3087E+00	1.1421E−01	4.6114E+00	1.2402E−01	4.0285E+00
51	8.7652E−02	8.8999E+00	1.0305E−01	5.3679E+00	1.1033E−01	4.6618E+00	1.1975E−01	4.0718E+00
52	8.5614E−02	9.0080E+00	9.9696E−02	5.4264E+00	1.0664E−01	4.7115E+00	1.1569E−01	4.1145E+00
53	8.3623E−02	9.1147E+00	9.6504E−02	5.4840E+00	1.0314E−01	4.7606E+00	1.1183E−01	4.1567E+00
54	8.1671E−02	9.2203E+00	9.3464E−02	5.5409E+00	9.9807E−02	4.8091E+00	1.0817E−01	4.1983E+00
55	7.9750E−02	9.3247E+00	9.0565E−02	5.5972E+00	9.6636E−02	4.8569E+00	1.0468E−01	4.2393E+00
56	7.7854E−02	9.4280E+00	8.7800E−02	5.6527E+00	9.3616E−02	4.9041E+00	1.0137E−01	4.2798E+00
57	7.5976E−02	9.5304E+00	8.5161E−02	5.7075E+00	9.0739E−02	4.9507E+00	9.8216E−02	4.3198E+00
58	7.4113E−02	9.6320E+00	8.2640E−02	5.7617E+00	8.7996E−02	4.9968E+00	9.5211E−02	4.3593E+00
59	7.2260E−02	9.7328E+00	8.0230E−02	5.8152E+00	8.5378E−02	5.0423E+00	9.2346E−02	4.3984E+00
60	7.0415E−02	9.8330E+00	7.7924E−02	5.8682E+00	8.2879E−02	5.0872E+00	8.9613E−02	4.4369E+00

The scattering of keV electrons from atoms is calculated in the central-field approximation in which the potential of the target is averaged over the angular coordinates and the resulting spherically symmetric potential V(r) is used in the computation. In order to take the relativistic effects properly into account, the Dirac equation has been used. In addition to the straightforward correction for the electron mass, spin-polarization effects are also included in these calculations. The scattering wavefunctions are four-component spinors that can be reduced to two components as shown by Mott & Massey (1965 ). This reduction leads to two decoupled second-order differential equations in Schrödinger form: $[{{\rm d}^2g_l(r)\over {\rm d} r^2}+\left[k^2-{l(l+1)\over r^2}-U_l(r)\right]g_l(r)=0,]$ where $[-U_l(r) =-2\gamma V(r)+\alpha^2V^2(r) + {n\over r} {\beta'\over\beta} - {\textstyle{3\over4}}\left({\beta'\over\beta}\right)^2+ {\textstyle{1\over2}} {\beta''\over\beta},]$ and $[\eqalign{ \alpha &= {e^2\over\hbar c}, \cr \gamma &=\left(1-{v^2\over c^2}\right)^{-1/2} \cr \beta &= \left[{\gamma+1 \over \alpha}-\alpha V(r)\right], \cr n&= \cases{-l-1&for $j=l+{1\over2}$ \cr l&for $j=l-{1\over2}$,\cr}}]$ where j is the total angular momentum for the lth partial wave including the two spin directions. Asymptotic solutions are available when [U_l(r)] is small relative to the centrifugal term, [l(l+1)/r^2] . If this term is taken into account, but is neglected, [g_l(r)] approaches $[g_l(r)\sim j_l(kr)\cos(\eta_l)+n_l(kr)\sin(\eta_l)]$ with a similar limit holding for the [-l-1] solution. These limits lead directly to the scattering factors $[\eqalignno{ f(\theta)&={1\over 2ki}\,\sum\big((l+1)[\exp (2i\eta_l)-1] \cr&\quad +l\{\exp[2i\eta_{(-l-1)}]-1\}\big)P_l(\cos\theta) \cr g(\theta) &={1\over2ki} \sum \{-\exp (2i\eta_l) \cr&\quad+\exp [2i\eta_{(-l-1)}]\}P^1_l(\cos\theta)}]$ and the elastic differential scattering cross section $[\eqalign{ {{\rm d}\sigma\over{\rm d}\Omega}&=|\,f|{}^2+|g|^2+(\,fg^*-f^*g) \cr &\quad\times\left \{{-AB^*\exp (i\varphi)+A^*B\exp (-i\varphi)\over |A|{}^2+|B|{}^2}\right\},}]$ where A, B and $[\varphi]$ describe the direction and degree of spin polarization of the incoming electrons. The latter term is equal to 0 when unpolarized electrons (A = B = 1) are used in the scattering experiment.

The results printed in the tables were obtained in three steps. First, atomic wavefunctions were calculated and transformed into centrosymmetric potentials via Poisson's equation. Second, a sufficient number of phases, $[\eta_l]$ and $[\eta_{(-l-1)}]$ , were computed in order to calculate the scattering factors f and g by performing the partial wave sums. Finally, the results were smoothed, because small oscillations were seen between nearest neighbours in the second difference function. These oscillations were only of the order of 0.1% of the data, so smoothing only had an effect in the third or fourth significant figure.

For the scattering potentials, we used relativistic Hartree–Fock wavefunctions calculated by Biggs, Mendelsohn & Mann (1975 ). The wavefunctions were used to calculate the potentials and their derivatives since they are needed for [U_l(r)] to solve the appropriate Dirac equation.

In order to solve the second-order differential equation, one must take advantage of the known asymptotic solutions. Following the procedure developed by Numerov (Numerov, 1924 ; Melkanov, Sawada & Raynal, 1966 ), an auxiliary function, $[\xi_l(r)]$ is introduced: $[\xi_l(r_i)=\left[1-{\Delta r^2\over12}\,B_l(r_i)\right]g_l(r_i),]$ where $[B_l(r_i)=-k^2+{l(l+1)\over r^2}+U_l(r_i)]$ and $[r_i=i\Delta r, \quad i=0,1,2, \ldots.]$ Now $[\xi_l(r)]$ is computed. Starting with $[\xi_l(r_0)=\xi_l(0)=0]$ and $[\xi_l(r_1)=\xi_l(\Delta r)=0.2(\Delta r)^{l+1}]$ , the integration of $[\xi]$ following the Numerov procedure is given by $[\xi_l(r_{i+1})=[2+\Delta r^2B_l(r_i)+\Delta r^4B^2_l(r_i)/12]\xi_l(r_i)-\xi_l(r_{i-1}).]$ This recurrence relation is carried through for $[a/\Delta r]$ steps, where a is the asymptotic limit. At the asymptotic limit [g_l(r)] is $[\lim g_l(r)\sim B_l(r)\, j_l(kr)\cos(\eta_l)-B_l(r)n_l(kr)\sin(\eta_l).]$ The proportionality factor is eliminated by matching the logarithmic derivative of $[\xi_l(r)]$ $[[=\xi'(r)/\xi(r)]]$ to the same derivative of at r = a. From this equality, the partial wave phase shifts are calculated as follows: $[\eqalignno{ &{1\over \xi_l(a)}\,{{\rm d}\xi_l\over{\rm d} r}(a) \cr &\quad =\{[B'_l(a)\, j_l(ka)+kB_l(a)\, j'_l(ka)]\cos(\eta_1) \cr &\qquad-[B'_l(a)n_l(ka)+kB_l(a)n'_l(ka)]\sin(\eta_l)\} \cr &\qquad\times[B_l(a)\, j_l(ka)\cos(\eta_l)-B_l(a)n_l(ka)\sin(\eta_l)]^{-1}.}]$ Solving for $[\eta_l]$ leads to $[\eqalignno{ \tan(\eta_l)&=[B'_l(a)\, j_l(ka)+kB_l(a)\, j'_l(ka)-\omega B_l(a)\, j_l(ka)] \cr &\quad\times [B'_l(a)n_l(ka)+kB_l(a)n'_l(ka) \cr &\quad -\omega B_l(a)n_l(ka)]^{-1},}]$ where $[\eqalignno{ \omega&={1\over\xi_l(a)}\,{{\rm d} \xi_l\over{\rm d} r}\,(a), \cr B_l(a)&=-k^2+{l(l+1)\over a^2}}]$ and $[B'_l(a)=-{2l(l+1)\over a^3} .]$

It is straightforward to calculate the scattering amplitudes by partial wave summation since stable numerical methods are readily available for the spherical Bessel functions, [j_l(kr)] , the Neumann functions, [n_l(kr)] , and the Legendre polynomials, $[P_l(\cos\theta)]$ (Yates, 1971 ).

Particular attention was given to the choices of the integration step size, $[\Delta r]$ , and the matching radius, a. Both were varied to ensure the stability of the scattering factors to 0.1% for light atoms and to 0.3% for heavier atoms and higher incident energies. The results of the sensitivity calculations are summarized elsewhere (Ross & Fink, 1986 ).

Smoothing was carried out by the following procedure: Sixteen data points, quarter s units apart, were least-squares fit to a cubic polynomial and the eighth point was changed to lie on this analytical curve. This procedure was repeated in running point average mode for $[s\gt10]$ Å⁻¹. The points for $[s\lt10]$ Å⁻¹ were left unchanged since no oscillations were seen. Smoothed and unsmoothed data in quarter s units for f and g are available on tape at cost from the authors.

4.3.3.2.2. Total inelastic scattering factors

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Total inelastic scattering in the first Born approximation (Bonham & Fink, 1974 ) is obtained by including all possible excitation processes: $[\specialfonts{S(s)_{\rm inel}={\bsf S}\,{k_n\over k}|\langle\psi_n| \textstyle\sum\limits^N_{i=1} \exp (is_{0n}\cdot r_i)|\psi_0\rangle|{}^2,}]$ where [r_i] is the nuclear electron vector, $[k_n=k^2-\Delta E_{0n}]$ , $[s_{0n}=[k^2+k^2_n-2kk_n\cos (2\theta)]{}^{1/2}]$ , $[\Delta E_{0n}]$ is the energy loss of the incident electron upon excitation of the scatterer to the nth state, $[\theta]$ is the Bragg angle, $[\specialfonts{\bsf S}]$ signifies a sum over all bound states and an integration over the continuum, and N is equal to the number of electrons in the atom. The sum is carried out over all states $[\psi_n]$ for which $[\Delta E_{0n}]$ is less than the incident electron energy. The Morse approximation is obtained by making three assumptions: (1) that the incident energy is so high that $[N\sim\infty]$ , i.e. that all states are accessible; (2) that the ratio [k_n/k] is unity for all inelastic processes of any importance; and (3) that $[s_{0n}]$ may be replaced by its elastic value s. With these approximations, closure may be used to obtain (Morse, 1932 ; Heisenberg, 1931 ; Bethe, 1930 ): $[S(s)=Z-F^2_x(s)+\textstyle\sum\limits^N_i \sum\limits^N_{j\neq i} \langle\psi_0|\exp(is\cdot r_{ij})|\psi_0\rangle.]$ The function S(s) is the X-ray incoherent scattering factor (Wang, Sagar, Schmider & Smith, 1993 ) and is related to the inelastic electron scattering cross section by $[\sigma_{\rm inel}(s)=4S(s)/a^2s^4.]$ Inelastic scattering factors for X-rays and electrons are given in Table 4.3.3.2 in the Morse (1932 ) approximation for elements Z = 1 to Z = 92 with HF wave functions (Bunge, Barrientos & Bunge, 1993 ; McLean & McLean, 1981 ).

Table 4.3.3.2| top | pdf |
Inelastic scattering factors

Element	H	He	Li	Be	B	C	N	O	F
Z	1	2	3	4	5	6	7	8	9
s
0	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000
1	0.23712	0.20585	0.88290	1.11410	0.97969	0.82589	0.70270	0.64471	0.58625
2	0.62750	0.67665	1.29649	2.05741	2.35860	2.30155	2.12384	2.05154	1.93281
3	0.85836	1.15502	1.58907	2.33547	3.03124	3.35857	3.37855	3.44994	3.38314
4	0.95050	1.50584	1.89856	2.54347	3.31571	3.92722	4.23128	4.52527	4.60924
5	0.98252	1.72314	2.17978	2.76339	3.50570	4.23471	4.76279	5.26209	5.53803
6	0.99349	1.84691	2.41052	2.97864	3.68270	4.43840	5.09842	5.74264	6.19823
7	0.99740	1.91496	2.58662	3.17603	3.85613	4.60589	5.32971	6.05888	6.65331
8	0.99889	1.95208	2.71445	3.34823	4.02198	4.75972	5.50893	6.28032	6.96851
9	0.99949	1.97248	2.80427	3.49247	4.17553	4.90533	5.66203	6.45035	7.19556
10	0.99976	1.98385	2.86613	3.60942	4.31351	5.04263	5.80060	6.59304	7.36980
11	0.99988	1.99032	2.90828	3.70189	4.43432	5.17019	5.92915	6.72061	7.51316
12	0.99993	1.99407	2.93687	3.77366	4.53780	5.28663	6.04900	6.83868	7.63830
13	0.99996	1.99629	2.95627	3.82863	4.62485	5.39115	6.16020	6.94951	7.75211
14	0.99998	1.99763	2.96947	3.87036	4.69701	5.48356	6.26247	7.05375	7.85802
15	0.99999	1.99846	2.97851	3.90185	4.75615	5.56419	6.35555	7.15137	7.95762
16	0.99999	1.99898	2.98474	3.92555	4.80418	5.63375	6.43942	7.24214	8.05146
17	1.00000	1.99931	2.98907	3.94336	4.84294	5.69320	6.51429	7.32588	8.13968
18	1.00000	1.99953	2.99209	3.95676	4.87406	5.74363	6.58055	7.40250	8.22220
19	1.00000	1.99968	2.99423	3.96686	4.89897	5.78614	6.63878	7.47210	8.29896
20	1.00000	1.99977	2.99576	3.97448	4.91886	5.82179	6.68961	7.53488	8.36993
21	1.00000	1.99984	2.99685	3.98027	4.93474	5.85157	6.73375	7.59117	8.43516
22	1.00000	1.99988	2.99764	3.98466	4.94741	5.87639	6.77191	7.64136	8.49480
23	1.00000	1.99991	2.99822	3.98802	4.95752	5.89702	6.80478	7.68590	8.54904
24	1.00000	1.99994	2.99865	3.99060	4.96560	5.91415	6.83300	7.72528	8.59816
25	1.00000	1.99995	2.99897	3.99259	4.97207	5.92836	6.85718	7.75997	8.64246
26	1.00000	1.99996	2.99920	3.99413	4.97726	5.94015	6.87785	7.79043	8.68227
27	1.00000	1.99997	2.99938	3.99532	4.98143	5.94992	6.89550	7.81712	8.71793
28	1.00000	1.99998	2.99952	3.99626	4.98479	5.95804	6.91055	7.84046	8.74980
29	1.00000	1.99998	2.99962	3.99699	4.98750	5.96477	6.92339	7.86084	8.77820
30	1.00000	1.99999	2.99970	3.99757	4.98970	5.97038	6.93433	7.87860	8.80347
31	1.00000	1.99999	2.99976	3.99803	4.99149	5.97504	6.94365	7.89407	8.82591
32	1.00000	1.99999	2.99981	3.99840	4.99294	5.97893	6.95160	7.90753	8.84581
33	1.00000	1.99999	2.99985	3.99869	4.99413	5.98217	6.95838	7.91925	8.86344
34	1.00000	2.00000	2.99988	3.99892	4.99510	5.98489	6.96416	7.92943	8.87904
35	1.00000	2.00000	2.99990	3.99911	4.99590	5.98716	6.96910	7.93829	8.89284
36	1.00000	2.00000	2.99992	3.99927	4.99656	5.98907	6.97332	7.94600	8.90503
37	1.00000	2.00000	2.99993	3.99939	4.99711	5.99068	6.97693	7.95270	8.91581
38	1.00000	2.00000	2.99994	3.99949	4.99756	5.99203	6.98003	7.95854	8.92532
39	1.00000	2.00000	2.99995	3.99958	4.99794	5.99318	6.98268	7.96362	8.93373
40	1.00000	2.00000	2.99996	3.99964	4.99825	5.99414	6.98496	7.96804	8.94116
41	1.00000	2.00000	2.99997	3.99970	4.99851	5.99496	6.98692	7.97190	8.94772
42	1.00000	2.00000	2.99997	3.99975	4.99873	5.99566	6.98860	7.97526	8.95352
43	1.00000	2.00000	2.99998	3.99979	4.99891	5.99625	6.99006	7.97820	8.95864
44	1.00000	2.00000	2.99998	3.99982	4.99907	5.99675	6.99131	7.98077	8.96317
45	1.00000	2.00000	2.99998	3.99984	4.99920	5.99719	6.99240	7.98301	8.96718
46	1.00000	2.00000	2.99999	3.99987	4.99931	5.99755	6.99334	7.98498	8.97073
47	1.00000	2.00000	2.99999	3.99989	4.99940	5.99787	6.99415	7.98670	8.97387
48	1.00000	2.00000	2.99999	3.99990	4.99948	5.99814	6.99486	7.98822	8.97666
49	1.00000	2.00000	2.99999	3.99992	4.99955	5.99838	6.99547	7.98954	8.97913
50	1.00000	2.00000	2.99999	3.99993	4.99961	5.99858	6.99601	7.99071	8.98132
51	1.00000	2.00000	2.99999	3.99994	4.99966	5.99876	6.99647	7.99174	8.98327
52	1.00000	2.00000	2.99999	3.99995	4.99970	5.99891	6.99688	7.99264	8.98500
53	1.00000	2.00000	3.00000	3.99995	4.99974	5.99904	6.99724	7.99344	8.98654
54	1.00000	2.00000	3.00000	3.99996	4.99977	5.99915	6.99755	7.99415	8.98791
55	1.00000	2.00000	3.00000	3.99996	4.99980	5.99925	6.99783	7.99477	8.98913
56	1.00000	2.00000	3.00000	3.99997	4.99983	5.99934	6.99807	7.99532	8.99021
57	1.00000	2.00000	3.00000	3.99997	4.99985	5.99941	6.99828	7.99581	8.99119
58	1.00000	2.00000	3.00000	3.99998	4.99986	5.99948	6.99846	7.99624	8.99205
59	1.00000	2.00000	3.00000	3.99998	4.99988	5.99954	6.99863	7.99663	8.99283
60	1.00000	2.00000	3.00000	3.99998	4.99989	5.99959	6.99877	7.99697	8.99352

Element	Ne	Na	Mg	Al	Si	P	S	Cl	Ar
Z	10	11	12	13	14	15	16	17	18
s
0	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000
1	0.53234	1.20747	1.61544	1.72194	1.65386	1.53700	1.49816	1.42156	1.33265
2	1.80053	2.28779	2.94235	3.50721	3.78096	3.80549	3.95432	3.94695	3.84282
3	3.24475	3.49193	3.94530	4.52834	5.07436	5.40954	5.80343	6.00685	6.03450
4	4.54966	4.70014	5.01729	5.47022	6.01322	6.52767	7.06849	7.48589	7.72422
5	5.61925	5.77806	6.03833	6.41063	6.88008	7.40945	7.98702	8.53330	8.96990
6	6.44652	6.68058	6.94760	7.29048	7.71078	8.20204	8.75585	9.33634	9.88639
7	7.06089	7.40330	7.72396	8.07744	8.48211	8.94372	9.46405	10.03048	10.61498
8	7.50742	7.96372	8.36460	8.75902	9.17588	9.62983	10.12957	10.67346	11.25279
9	7.83224	8.39028	8.87926	9.33363	9.78380	10.25033	10.74677	11.27732	11.84272
10	8.07400	8.71388	9.28563	9.80759	10.30489	10.79947	11.30797	11.83831	12.39562
11	8.26134	8.96233	9.60450	10.19272	10.74365	11.27657	11.80888	12.35087	12.90995
12	8.41386	9.15796	9.85601	10.50348	11.10840	11.68496	12.24905	12.81180	13.38195
13	8.54414	9.31737	10.05748	10.75458	11.40955	12.03077	12.63101	13.22075	13.80922
14	8.65993	9.45219	10.22270	10.95937	11.65803	12.32173	12.95942	13.57972	14.19149
15	8.76576	9.57025	10.36206	11.12908	11.86416	12.56614	13.24013	13.89228	14.53031
16	8.86416	9.67661	10.48302	11.27266	12.03702	12.77207	13.47958	14.16303	14.82851
17	8.95646	9.77440	10.59078	11.39691	12.18418	12.94685	13.68412	14.39702	15.08974
18	9.04331	9.86554	10.68886	11.50688	12.31167	13.09681	13.85970	14.59936	15.31806
19	9.12498	9.95113	10.77955	11.60616	12.42419	13.22723	14.01162	14.77489	15.51761
20	9.20160	10.03176	10.86431	11.69727	12.52524	13.34234	14.14443	14.92805	15.69240
21	9.27319	10.10777	10.94406	11.78195	12.61744	13.44547	14.26190	15.06274	15.84616
22	9.33982	10.17933	11.01935	11.86133	12.70264	13.53918	14.36711	15.18230	15.98223
23	9.40157	10.24653	11.09051	11.93618	12.78217	13.62538	14.46250	15.28952	16.10354
24	9.45854	10.30944	11.15772	12.00698	12.85695	13.70552	14.54998	15.38669	16.21260
25	9.51090	10.36817	11.22111	12.07405	12.92761	13.78062	14.63102	15.47564	16.31151
26	9.55885	10.42279	11.28077	12.13758	12.99459	13.85143	14.70673	15.55783	16.40201
27	9.60262	10.47344	11.33679	12.19771	13.05816	13.91849	14.77793	15.63441	16.48552
28	9.64244	10.52026	11.38925	12.25454	13.11853	13.98216	14.84524	15.70626	16.56318
29	9.67857	10.56342	11.43824	12.30814	13.17583	14.04271	14.90911	15.77405	16.63589
30	9.71128	10.60310	11.48389	12.35861	13.23017	14.10034	14.96988	15.83830	16.70436
31	9.74083	10.63950	11.52631	12.40603	13.28163	14.15517	15.02777	15.89938	16.76915
32	9.76748	10.67281	11.56565	12.45048	13.33028	14.20732	15.08297	15.95759	16.83069
33	9.79146	10.70323	11.60205	12.49206	13.37621	14.25686	15.13561	16.01315	16.88931
34	9.81302	10.73097	11.63566	12.53089	13.41949	14.30387	15.18580	16.06621	16.94527
35	9.83238	10.75622	11.66665	12.56708	13.46020	14.34842	15.23360	16.11691	16.99876
36	9.84974	10.77917	11.69517	12.60075	13.49843	14.39057	15.27911	16.16535	17.04993
37	9.86530	10.80002	11.72137	12.63202	13.53427	14.43041	15.32237	16.21159	17.09890
38	9.87924	10.81893	11.74542	12.66102	13.56783	14.46799	15.36345	16.25573	17.14577
39	9.89171	10.83606	11.76747	12.68789	13.59919	14.50341	15.40243	16.29780	17.19062
40	9.90287	10.85158	11.78765	12.71273	13.62846	14.53673	15.43935	16.33789	17.23350
41	9.91286	10.86562	11.80612	12.73569	13.65576	14.56805	15.47428	16.37603	17.27449
42	9.92179	10.87832	11.82300	12.75688	13.68117	14.59744	15.50730	16.41229	17.31364
43	9.92977	10.88980	11.83842	12.77642	13.70481	14.62500	15.53847	16.44672	17.35099
44	9.93691	10.90018	11.85250	12.79442	13.72678	14.65080	15.56786	16.47938	17.38661
45	9.94330	10.90956	11.86534	12.81100	13.74718	14.67494	15.59554	16.51033	17.42053
46	9.94901	10.91803	11.87705	12.82625	13.76610	14.69750	15.62159	16.53964	17.45281
47	9.95412	10.92569	11.88773	12.84028	13.78364	14.71857	15.64608	16.56736	17.48351
48	9.95870	10.93260	11.89747	12.85317	13.79988	14.73823	15.66909	16.59355	17.51267
49	9.96279	10.93885	11.90634	12.86501	13.81492	14.75656	15.69068	16.61828	17.54035
50	9.96646	10.94449	11.91442	12.87589	13.82884	14.77364	15.71093	16.64161	17.56660
51	9.96974	10.94959	11.92178	12.88588	13.84172	14.78955	15.72991	16.66360	17.59148
52	9.97269	10.95420	11.92849	12.89505	13.85362	14.80435	15.74768	16.68431	17.61504
53	9.97533	10.95837	11.93460	12.90346	13.86462	14.81813	15.76432	16.70381	17.63733
54	9.97770	10.96214	11.94017	12.91118	13.87478	14.83093	15.77989	16.72216	17.65841
55	9.97983	10.96555	11.94525	12.91827	13.88417	14.84284	15.79444	16.73941	17.67833
56	9.98174	10.96863	11.94987	12.92477	13.89284	14.85390	15.80804	16.75562	17.69714
57	9.98346	10.97143	11.95409	12.93074	13.90085	14.86418	15.82075	16.77085	17.71490
58	9.98500	10.97396	11.95793	12.93621	13.90824	14.87373	15.83262	16.78514	17.73166
59	9.98639	10.97625	11.96143	12.94124	13.91507	14.88259	15.84370	16.79856	17.74746
60	9.98765	10.97832	11.96463	12.94585	13.92137	14.89082	15.85405	16.81114	17.76235

Element	K	Ca	Sc	Ti	V	Cr	Mn	Fe	Co
Z	19	20	21	22	23	24	25	26	27
s
0	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000
1	1.95409	2.48962	2.47505	2.41147	2.34470	1.87338	2.20760	2.15605	2.09981
2	4.16743	4.63722	4.74095	4.73155	4.71014	4.31232	4.61890	4.62675	4.60110
3	6.28656	6.63788	6.79142	6.81860	6.82580	6.58097	6.75751	6.80527	6.79526
4	8.01589	8.34650	8.56715	8.67221	8.74208	8.59326	8.76139	8.86447	8.88855
5	9.37354	9.75686	10.05075	10.24289	10.38420	10.33687	10.51832	10.68060	10.75511
6	10.40504	10.88531	11.27230	11.56360	11.78746	11.84876	12.05425	12.27171	12.40221
7	11.20105	11.76628	12.24977	12.64663	12.96597	13.14017	13.39278	13.66798	13.86069
8	11.85904	12.47072	13.02927	13.51955	13.93468	14.22015	14.54015	14.87959	15.14206
9	12.44416	13.06908	13.67229	14.23079	14.72718	15.11304	15.50762	15.91441	16.25102
10	12.98647	13.60753	14.23080	14.83118	15.38717	15.85527	16.31906	16.78966	17.19864
11	13.49465	14.10800	14.73745	15.35997	15.95492	16.48500	17.00553	17.53092	18.00479
12	13.96833	14.57744	15.20828	15.84156	16.46015	17.03426	17.59751	18.16629	18.69422
13	14.40504	15.01608	15.64906	16.28847	16.92150	17.52612	18.12000	18.72120	19.29164
14	14.80303	15.42228	16.06067	16.70589	17.34908	17.97537	18.59107	19.21579	19.81842
15	15.16201	15.79475	16.44246	17.09532	17.74762	18.39057	19.02256	19.66452	20.29119
16	15.48312	16.13321	16.79376	17.45682	18.11901	18.77626	19.42164	20.07700	20.72194
17	15.76851	16.43845	17.11456	17.79031	18.46388	19.13474	19.79241	20.45925	21.11878
18	16.02103	16.71212	17.40559	18.09602	18.78257	19.46719	20.13716	20.81484	21.48693
19	16.24393	16.95643	17.66824	18.37470	19.07558	19.77444	20.45724	21.14592	21.82968
20	16.44057	17.17399	17.90434	18.62758	19.34372	20.05728	20.75361	21.45382	22.14909
21	16.61428	17.36753	18.11606	18.85623	19.58811	20.31668	21.02715	21.73952	22.44651
22	16.76819	17.53980	18.30570	19.06249	19.81018	20.55380	21.27883	22.00392	22.72298
23	16.90520	17.69348	18.47561	19.24834	20.01151	20.77001	21.50974	22.24793	22.97940
24	17.02787	17.83103	18.62806	19.41579	20.19384	20.96677	21.72111	22.47258	23.21667
25	17.13845	17.95471	18.76522	19.56682	20.35893	21.14567	21.91428	22.67895	23.43574
26	17.23887	18.06655	18.88908	19.70334	20.50852	21.30828	22.09062	22.86824	23.63764
27	17.33077	18.16830	19.00144	19.82710	20.64429	21.45620	22.25155	23.04170	23.82343
28	17.41550	18.26148	19.10390	19.93973	20.76783	21.59092	22.39849	23.20059	23.99424
29	17.49419	18.34738	19.19786	20.04268	20.88059	21.71390	22.53279	23.34616	24.15122
30	17.56774	18.42708	19.28454	20.13724	20.98391	21.82646	22.65576	23.47965	24.29549
31	17.63689	18.50150	19.36496	20.22456	21.07897	21.92983	22.76860	23.60223	24.42819
32	17.70222	18.57136	19.44000	20.30560	21.16684	22.02511	22.87245	23.71501	24.55037
33	17.76420	18.63728	19.51040	20.38121	21.24845	22.11329	22.96833	23.81902	24.66306
34	17.82320	18.69974	19.57676	20.45211	21.32459	22.19525	23.05717	23.91523	24.76720
35	17.87951	18.75913	19.63959	20.51889	21.39596	22.27176	23.13979	24.00449	24.86369
36	17.93334	18.81578	19.69928	20.58206	21.46316	22.34348	23.21694	24.08758	24.95334
37	17.98488	18.86994	19.75618	20.64204	21.52669	22.41099	23.28926	24.16522	25.03688
38	18.03427	18.92181	19.81056	20.69918	21.58697	22.47478	23.35731	24.23800	25.11498
39	18.08161	18.97154	19.86264	20.75377	21.64436	22.53529	23.42158	24.30650	25.18823
40	18.12700	19.01926	19.91259	20.80603	21.69915	22.59286	23.48250	24.37117	25.25716
41	18.17051	19.06508	19.96056	20.85616	21.75159	22.64781	23.54043	24.43245	25.32224
42	18.21221	19.10909	20.00667	20.90432	21.80189	22.70038	23.59568	24.49069	25.38389
43	18.25215	19.15135	20.05100	20.95063	21.85021	22.75079	23.64851	24.54620	25.44246
44	18.29039	19.19192	20.09364	20.99521	21.89670	22.79921	23.69914	24.59926	25.49826
45	18.32697	19.23087	20.13466	21.03813	21.94146	22.84580	23.74777	24.65009	25.55156
46	18.36193	19.26822	20.17411	21.07948	21.98460	22.89069	23.79455	24.69889	25.60260
47	18.39533	19.30404	20.21204	21.11931	22.02620	22.93396	23.83961	24.74583	25.65158
48	18.42720	19.33836	20.24849	21.15767	22.06632	22.97572	23.88308	24.79104	25.69868
49	18.45760	19.37122	20.28352	21.19462	22.10502	23.01604	23.92503	24.83464	25.74404
50	18.48657	19.40267	20.31714	21.23020	22.14236	23.05497	23.96556	24.87675	25.78778
51	18.51415	19.43274	20.34941	21.26443	22.17837	23.09258	24.00473	24.91744	25.83002
52	18.54040	19.46147	20.38036	21.29737	22.21309	23.12890	24.04261	24.95678	25.87085
53	18.56535	19.48890	20.41003	21.32904	22.24656	23.16398	24.07923	24.99485	25.91035
54	18.58906	19.51509	20.43845	21.35948	22.27882	23.19785	24.11464	25.03170	25.94858
55	18.61157	19.54005	20.46565	21.38871	22.30989	23.23056	24.14889	25.06736	25.98561
56	18.63294	19.56385	20.49168	21.41677	22.33980	23.26212	24.18200	25.10189	26.02148
57	18.65319	19.58651	20.51656	21.44370	22.36859	23.29257	24.21401	25.13532	26.05624
58	18.67240	19.60808	20.54034	21.46952	22.39628	23.32193	24.24495	25.16768	26.08992
59	18.69058	19.62860	20.56305	21.49427	22.42290	23.35024	24.27484	25.19900	26.12257
60	18.70781	19.64811	20.58472	21.51797	22.44848	23.37752	24.30371	25.22931	26.15420

Element	Ni	Cu	Zn	Ga	Ge	As	Se	Br	Kr
Z	28	29	30	31	32	33	34	35	36
s
0	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000
1	2.04471	1.69573	1.93762	2.05186	2.02388	1.94862	1.96187	1.92529	1.86388
2	4.57025	4.20291	4.48366	4.79699	4.96356	4.96762	5.16391	5.22242	5.17677
3	6.78094	6.60632	6.71087	6.99727	7.31756	7.53254	7.87187	8.08782	8.15809
4	8.90504	8.78952	8.87296	9.07164	9.37130	9.69780	10.09282	10.44730	10.70005
5	10.81621	10.72987	10.85168	11.03258	11.28885	11.60839	11.98915	12.39473	12.77835
6	12.51132	12.47751	12.62492	12.81781	13.06230	13.35790	13.70612	14.09835	14.51642
7	14.02217	14.05989	14.22287	14.42883	14.67729	14.96447	15.29281	15.66034	16.06428
8	15.36345	15.48041	15.66617	15.88673	16.14378	16.43328	16.75585	17.10934	17.49432
9	16.53914	16.73670	16.96032	17.20429	17.47556	17.77364	18.09916	18.44981	18.82545
10	17.55583	17.83189	18.10676	18.38602	18.68056	18.99403	19.32906	19.68468	20.06045
11	18.42792	18.77754	19.11098	19.43536	19.76289	20.09987	20.45124	20.81812	21.20099
12	19.17588	19.59174	19.98462	20.35933	20.72723	21.09536	21.47006	21.85427	22.24990
13	19.82231	20.29556	20.74392	21.16939	21.58126	21.98591	22.38987	22.79705	23.21055
14	20.38840	20.90979	21.40691	21.87992	22.33572	22.77927	23.21633	23.65097	24.08679
15	20.89193	21.45278	21.99101	22.50626	23.00321	23.48524	23.95687	24.42167	24.88315
16	21.34665	21.93949	22.51151	23.06295	23.59669	24.11476	24.62031	25.11610	25.60513
17	21.76253	22.38138	22.98092	23.56269	24.12833	24.67882	25.21613	25.74214	26.25912
18	22.14646	22.78682	23.40889	24.01592	24.60873	25.18761	25.75365	26.30797	26.85209
19	22.50302	23.16168	23.80261	24.43082	25.04664	25.65004	26.24150	26.82157	27.39114
20	22.83520	23.51000	24.16724	24.81353	25.44900	26.07350	26.68718	27.29024	27.88309
21	23.14497	23.83452	24.50642	25.16859	25.82113	26.46391	27.09700	27.72039	28.33419
22	23.43371	24.13716	24.82271	25.49929	26.16701	26.82591	27.47606	28.11740	28.74992
23	23.70247	24.41932	25.11795	25.80799	26.48960	27.16300	27.82837	28.48569	29.13493
24	23.95219	24.68209	25.39353	26.09645	26.79109	27.47786	28.15706	28.82879	29.49305
25	24.18376	24.92646	25.65055	26.36601	27.07314	27.77250	28.46453	29.14946	29.82740
26	24.39808	25.15335	25.88998	26.61776	27.33704	28.04847	28.75264	29.44989	30.14045
27	24.59612	25.36367	26.11272	26.85266	27.58385	28.30702	29.02284	29.73179	30.43417
28	24.77888	25.55837	26.31965	27.07158	27.81449	28.54916	29.27632	29.99650	30.71014
29	24.94740	25.73841	26.51166	27.27537	28.02983	28.77579	29.51404	30.24515	30.96963
30	25.10270	25.90478	26.68965	27.46487	28.23066	28.98774	29.73688	30.47868	31.21369
31	25.24584	26.05845	26.85452	27.64092	28.41779	29.18578	29.94561	30.69790	31.44321
32	25.37784	26.20040	27.00720	27.80439	28.59202	29.37066	30.14099	30.90357	31.65898
33	25.49968	26.33158	27.14857	27.95609	28.75413	29.54314	30.32373	31.09639	31.86171
34	25.61229	26.45293	27.27951	28.09689	28.90492	29.70396	30.49453	31.27706	32.05209
35	25.71658	26.56530	27.40089	28.22758	29.04515	29.85384	30.65409	31.44623	32.23076
36	25.81336	26.66955	27.51352	28.34897	29.17560	29.99353	30.80309	31.60456	32.39834
37	25.90339	26.76643	27.61817	28.46182	29.29699	30.12372	30.94223	31.75270	32.55546
38	25.98737	26.85668	27.71557	28.56685	29.41005	30.24510	31.07215	31.89127	32.70272
39	26.06594	26.94095	27.80641	28.66476	29.51546	30.35836	31.19351	32.02090	32.84072
40	26.13966	27.01985	27.89131	28.75617	29.61385	30.46411	31.30692	32.14220	32.97004
41	26.20905	27.09393	27.97085	28.84170	29.70584	30.56298	31.41300	32.25575	33.09125
42	26.27456	27.16367	28.04555	28.92188	29.79200	30.65553	31.51232	32.36212	33.20489
43	26.33659	27.22952	28.11590	28.99724	29.87284	30.74230	31.60540	32.46184	33.31151
44	26.39551	27.29187	28.18232	29.06822	29.94886	30.82380	31.69278	32.55544	33.41161
45	26.45162	27.35108	28.24521	29.13525	30.02050	30.90049	31.77492	32.64339	33.50568
46	26.50519	27.40746	28.30490	29.19870	30.08816	30.97279	31.85227	32.72615	33.59417
47	26.55647	27.46126	28.36171	29.25892	30.15222	31.04111	31.92524	32.80415	33.67753
48	26.60565	27.51275	28.41590	29.31621	30.21302	31.10580	31.99422	32.87778	33.75616
49	26.65293	27.56211	28.46773	29.37085	30.27084	31.16719	32.05955	32.94742	33.83044
50	26.69844	27.60954	28.51740	29.42307	30.32596	31.22558	32.12156	33.01340	33.90072
51	26.74233	27.65519	28.56509	29.47310	30.37863	31.28122	32.18052	33.07602	33.96734
52	26.78471	27.69920	28.61097	29.52111	30.42906	31.33437	32.23672	33.13559	34.03060
53	26.82567	27.74169	28.65519	29.56728	30.47743	31.38524	32.29038	33.19235	34.09077
54	26.86530	27.78276	28.69787	29.61175	30.52393	31.43403	32.34172	33.24654	34.14811
55	26.90368	27.82249	28.73910	29.65465	30.56870	31.48089	32.39094	33.29838	34.20285
56	26.94086	27.86098	28.77900	29.69610	30.61187	31.52600	32.43820	33.34806	34.25521
57	26.97690	27.89827	28.81764	29.73619	30.65357	31.56948	32.48367	33.39576	34.30537
58	27.01185	27.93444	28.85509	29.77501	30.69389	31.61145	32.52749	33.44162	34.35352
59	27.04575	27.96953	28.89142	29.81264	30.73292	31.65203	32.56977	33.48580	34.39980
60	27.07863	28.00358	28.92667	29.84914	30.77075	31.69130	32.61063	33.52842	34.44437

Element	Rb	Sr	Y	Zr	Nb	Mo	Tc	Ru	Rh
Z	37	38	39	40	41	42	43	44	45
s
0	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000
1	2.47108	3.04685	3.14857	3.13536	2.71132	2.62807	2.98330	2.57466	2.52855
2	5.52799	5.98984	6.23152	6.31697	6.07762	6.02878	6.36677	6.13781	6.12994
3	8.42971	8.78804	9.05817	9.20196	9.10320	9.08596	9.36034	9.30184	9.34697
4	10.98758	11.30230	11.58543	11.79126	11.80981	11.84206	12.07333	12.11783	12.19330
5	13.15459	13.52254	13.85142	14.12392	14.25176	14.35492	14.55835	14.70247	14.80976
6	14.95100	15.38843	15.79296	16.15287	16.39784	16.60221	16.83500	17.06754	17.22869
7	16.50508	16.96971	17.42770	17.86266	18.21807	18.53376	18.84164	19.15747	19.39679
8	17.91915	18.37743	18.85174	19.32606	19.75964	20.16607	20.55607	20.94877	21.27607
9	19.23525	19.67796	20.14726	20.63128	21.10549	21.56834	22.02040	22.47422	22.88053
10	20.46323	20.89436	21.35427	21.83462	22.32362	22.81354	23.30155	23.79566	24.26063
11	21.60452	22.03122	22.48536	22.96037	23.45249	23.95215	24.45652	24.97275	25.47475
12	22.66058	23.08945	23.54310	24.01599	24.50867	25.01107	25.52134	26.04805	26.57052
13	23.63390	24.07058	24.52855	25.00342	25.49806	26.00220	26.51474	27.04651	27.57948
14	24.52760	24.97699	25.44341	25.92401	26.42303	26.93042	27.44542	27.98082	28.51972
15	25.34529	25.81159	26.29007	26.77965	27.28544	27.79829	28.31748	28.85706	29.40064
16	26.09128	26.57772	27.07138	27.57279	28.08753	28.60801	29.13355	29.67848	30.22717
17	26.77063	27.27935	27.79065	28.30631	28.83193	29.36203	29.89596	30.44747	31.00229
18	27.38906	27.92103	28.45165	28.98346	29.52168	30.06306	30.60716	31.16636	31.72846
19	27.95268	28.50783	29.05861	29.60784	30.16004	30.71409	31.26982	31.83769	32.40810
20	28.46765	29.04513	29.61611	30.18338	30.75055	31.31829	31.88675	32.46417	33.04374
21	28.93986	29.53825	30.12888	30.71422	31.29692	31.87899	32.46091	33.04863	33.63805
22	29.37468	29.99232	30.60160	31.20455	31.80291	32.39960	32.99536	33.59396	34.19377
23	29.77685	30.41201	31.03868	31.65846	32.27225	32.88351	33.49318	34.10309	34.71364
24	30.15044	30.80144	31.44418	32.07980	32.70854	33.33406	33.95743	34.57888	35.20037
25	30.49879	31.16418	31.82168	32.47208	33.11511	33.75438	34.39106	35.02411	35.65660
26	30.82469	31.50320	32.17429	32.83842	33.49499	34.14739	34.79684	35.44141	36.08482
27	31.13035	31.82098	32.50463	33.18153	33.85088	34.51575	35.17737	35.83324	36.48738
28	31.41757	32.11952	32.81489	33.50371	34.18512	34.86180	35.53497	36.20184	36.86647
29	31.68781	32.40048	33.10687	33.80689	34.49971	35.18758	35.87171	36.54925	37.22407
30	31.94225	32.66518	33.38206	34.09271	34.79636	35.49488	36.18941	36.87726	37.56196
31	32.18187	32.91474	33.64170	34.36249	35.07650	35.78518	36.48965	37.18746	37.88172
32	32.40754	33.15010	33.88680	34.61738	35.34134	36.05979	36.77377	37.48122	38.18473
33	32.61999	33.37204	34.11825	34.85831	35.59190	36.31977	37.04294	37.75971	38.47222
34	32.81991	33.58129	34.33679	35.08610	35.82904	36.56607	37.29814	38.02398	38.74524
35	33.00795	33.77849	34.54311	35.30147	36.05353	36.79949	37.54022	38.27490	39.00470
36	33.18470	33.96426	34.73782	35.50504	36.26602	37.02072	37.76993	38.51325	39.25140
37	33.35077	34.13916	34.92149	35.69741	36.46712	37.23038	37.98791	38.73969	39.48604
38	33.50674	34.30375	35.09466	35.87911	36.65738	37.42904	38.19475	38.95482	39.70923
39	33.65317	34.45859	35.25788	36.05068	36.83731	37.61721	38.39097	39.15918	39.92152
40	33.79063	34.60420	35.41165	36.21259	37.00740	37.79540	38.57707	39.35328	40.12342
41	33.91965	34.74111	35.55648	36.36536	37.16815	37.96406	38.75351	39.53756	40.31539
42	34.04078	34.86983	35.69286	36.50944	37.31999	38.12364	38.92072	39.71247	40.49786
43	34.15452	34.99086	35.82127	36.64531	37.46339	38.27458	39.07914	39.87842	40.67125
44	34.26139	35.10468	35.94218	36.77342	37.59879	38.41732	39.22917	40.03581	40.83593
45	34.36186	35.21178	36.05605	36.89421	37.72663	38.55226	39.37123	40.18504	40.99231
46	34.45640	35.31260	36.16334	37.00813	37.84731	38.67981	39.50570	40.32650	41.14075
47	34.54543	35.40758	36.26446	37.11559	37.96126	38.80039	39.63297	40.46055	41.28160
48	34.62938	35.49713	36.35984	37.21700	38.06888	38.91438	39.75343	40.58757	41.41524
49	34.70863	35.58165	36.44986	37.31275	38.17056	39.02216	39.86744	40.70792	41.54201
50	34.78356	35.66151	36.53491	37.40322	38.26666	39.12409	39.97536	40.82195	41.66225
51	34.85449	35.73706	36.61534	37.48878	38.35755	39.22055	40.07755	40.93001	41.77630
52	34.92175	35.80863	36.69148	37.56975	38.44358	39.31186	40.17434	41.03243	41.88449
53	34.98564	35.87653	36.76366	37.64647	38.52507	39.39836	40.26607	41.12953	41.98714
54	35.04642	35.94105	36.83217	37.71924	38.60233	39.48037	40.35304	41.22163	42.08455
55	35.10435	36.00244	36.89729	37.78834	38.67566	39.55818	40.43556	41.30903	42.17703
56	35.15964	36.06095	36.95927	37.85405	38.74534	39.63208	40.51392	41.39202	42.26486
57	35.21253	36.11682	37.01836	37.91662	38.81162	39.70233	40.58838	41.47088	42.34833
58	35.26319	36.17023	37.07477	37.97628	38.87475	39.76919	40.65921	41.54587	42.42770
59	35.31180	36.22140	37.12872	38.03324	38.93497	39.83290	40.72666	41.61725	42.50322
60	35.35851	36.27048	37.18038	38.08771	38.99247	39.89368	40.79095	41.68524	42.57515

Element	Pd	Ag	Cd	In	Sn	Sb	Te	I	Xe
Z	46	47	48	49	50	51	52	53	54
s
0	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000
1	2.13081	2.42343	2.70975	2.83441	2.81535	2.73816	2.77296	2.74654	2.68555
2	5.95961	6.03591	6.30459	6.63451	6.84114	6.87653	7.11536	7.21010	7.17883
3	9.23632	9.33858	9.51999	9.81909	10.16026	10.44583	10.81525	11.09773	11.24839
4	12.07598	12.23784	12.46054	12.72978	13.05475	13.41599	13.82032	14.22622	14.58946
5	14.75560	14.90041	15.11768	15.37682	15.67918	16.02031	16.40069	16.81256	17.24286
6	17.27178	17.40539	17.59096	17.82417	18.10185	18.41562	18.76463	19.14401	19.55212
7	19.54545	19.71426	19.90073	20.11901	20.37444	20.66395	20.98609	21.33615	21.71173
8	21.52940	21.77057	22.00282	22.24093	22.49751	22.77720	23.08280	23.41315	23.76633
9	23.22845	23.55443	23.85882	24.14878	24.43757	24.73296	25.04189	25.36736	25.71067
10	24.68459	25.08751	25.46742	25.82409	26.16687	26.50212	26.83738	27.17764	27.52690
11	25.95299	26.41494	26.85884	27.28022	27.68354	28.07182	28.45037	28.82353	29.19578
12	27.08363	27.58563	28.07659	28.55092	29.00920	29.45143	29.87984	30.29667	30.70506
13	28.11340	28.64026	29.16253	29.67532	30.17704	30.66588	31.14154	31.60411	32.05470
14	29.06590	29.60758	30.14943	30.68802	31.22095	31.74576	32.26075	32.76453	33.25645
15	29.95479	30.50579	31.05985	31.61513	32.16920	32.71973	33.26464	33.80183	34.32964
16	30.78766	31.34559	31.90798	32.47438	33.04260	33.61083	34.17721	34.73959	35.29596
17	31.56892	32.13323	32.70240	33.27702	33.85522	34.43575	35.01722	35.59782	36.17566
18	32.30163	32.87265	33.44836	34.03004	34.61612	35.20579	35.79817	36.39189	36.98544
19	32.98838	33.56677	34.14941	34.73796	35.33110	35.92835	36.52924	37.13281	37.73796
20	33.63173	34.21817	34.80832	35.40399	36.00409	36.60835	37.21658	37.82815	38.44232
21	34.23429	34.82936	35.42759	36.03077	36.63803	37.24925	37.86439	38.48306	39.10481
22	34.79871	35.40286	36.00964	36.62069	37.23540	37.85373	38.47574	39.10122	39.72986
23	35.32765	35.94119	36.55686	37.17607	37.79848	38.42413	39.05314	39.68537	40.32066
24	35.82374	36.44685	37.07161	37.69917	38.32947	38.96261	39.59874	40.23781	40.87972
25	36.28950	36.92226	37.55620	38.19222	38.83052	39.47124	40.11461	40.76059	41.40916
26	36.72736	37.36974	38.01286	38.65737	39.30370	39.95205	40.60268	41.25563	41.91088
27	37.13958	37.79149	38.44370	39.09668	39.75100	40.40697	41.06486	41.72476	42.38669
28	37.52826	38.18955	38.85072	39.51207	40.17433	40.83784	41.50293	42.16973	42.83831
29	37.89533	38.56581	39.23576	39.90537	40.57546	41.24642	41.91862	42.59223	43.26737
30	38.24253	38.92198	39.60052	40.27825	40.95605	41.63434	42.31353	42.99385	43.67544
31	38.57142	39.25963	39.94654	40.63222	41.31759	42.00309	42.68916	43.37606	44.06399
32	38.88338	39.58012	40.27521	40.96869	41.66149	42.35407	43.04689	43.74024	44.43437
33	39.17963	39.88470	40.58776	41.28889	41.98898	42.68851	43.38796	44.08765	44.78786
34	39.46123	40.17445	40.88531	41.59393	42.30118	43.00755	43.71351	44.41943	45.12561
35	39.72910	40.45030	41.16881	41.88479	42.59909	43.31218	44.02456	44.73661	45.44865
36	39.98406	40.71310	41.43912	42.16236	42.88359	43.60332	44.32203	45.04011	45.75792
37	40.22683	40.96359	41.69700	42.42739	43.15548	43.88176	44.60672	45.33077	46.05429
38	40.45802	41.20239	41.94311	42.68057	43.41544	44.14821	44.87936	45.60932	46.33848
39	40.67820	41.43009	42.17803	42.92249	43.66408	44.40329	45.14059	45.87642	46.61118
40	40.88788	41.64720	42.40230	43.15369	43.90195	44.64756	45.39097	46.13264	46.87297
41	41.08751	41.85418	42.61638	43.37466	44.12954	44.88151	45.63102	46.37851	47.12440
42	41.27753	42.05147	42.82071	43.58582	44.34730	45.10560	45.86118	46.61449	47.36592
43	41.45833	42.23947	43.01568	43.78758	44.55561	45.32023	46.08187	46.84098	47.59796
44	41.63032	42.41855	43.20167	43.98031	44.75486	45.52577	46.29346	47.05837	47.82090
45	41.79386	42.58909	43.37904	44.16435	44.94538	45.72255	46.49628	47.26699	48.03509
46	41.94930	42.75142	43.54813	44.34004	45.12751	45.91091	46.69066	47.46717	48.24083
47	42.09701	42.90589	43.70925	44.50771	45.30155	46.09115	46.87690	47.65920	48.43843
48	42.23733	43.05284	43.86275	44.66765	45.46779	46.26354	47.05527	47.84334	48.62815
49	42.37059	43.19258	44.00892	44.82017	45.62655	46.42839	47.22605	48.01988	48.81026
50	42.49714	43.32545	44.14808	44.96556	45.77809	46.58596	47.38950	48.18906	48.98499
51	42.61729	43.45175	44.28053	45.10413	45.92270	46.73651	47.54589	48.35114	49.15259
52	42.73137	43.57180	44.40658	45.23615	46.06065	46.88032	47.69546	48.50634	49.31330
53	42.83969	43.68589	44.52650	45.36191	46.19222	47.01765	47.83846	48.65492	49.46733
54	42.94256	43.79434	44.64060	45.48169	46.31767	47.14874	47.97514	48.79711	49.61492
55	43.04027	43.89743	44.74916	45.59576	46.43727	47.27386	48.10575	48.93314	49.75629
56	43.13311	43.99544	44.85245	45.70439	46.55128	47.39326	48.23052	49.06324	49.89165
57	43.22136	44.08864	44.95074	45.80784	46.65995	47.50718	48.34969	49.18764	50.02123
58	43.30529	44.17732	45.04430	45.90638	46.76355	47.61588	48.46350	49.30657	50.14524
59	43.38515	44.26171	45.13338	46.00026	46.86231	47.71958	48.57219	49.42024	50.26389
60	43.46119	44.34207	45.21823	46.08971	46.95647	47.81853	48.67597	49.52889	50.37741

Element	Cs	Ba	La	Ce	Pr	Nd	Pm	Sm	Eu
Z	55	56	57	58	59	60	61	62	63
s
0	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000
1	3.26056	3.86513	3.98173	3.82992	3.79780	3.76602	3.73391	3.70093	3.66574
2	7.51043	7.93796	8.16628	7.95853	7.92593	7.89361	7.86055	7.81853	7.76614
3	11.50727	11.82172	12.07836	11.89091	11.86936	11.85347	11.84146	11.81226	11.76155
4	14.94313	15.29163	15.59334	15.41466	15.40728	15.40977	15.42104	15.40725	15.35978
5	17.68653	18.13325	18.54373	18.38275	18.42223	18.46877	18.52393	18.54486	18.51896
6	19.99684	20.46851	20.94271	20.84073	20.93672	21.03547	21.14100	21.20679	21.21677
7	22.12327	22.56799	23.03816	23.01484	23.15493	23.29454	23.43911	23.54344	23.58933
8	24.14779	24.55922	25.00033	25.04584	25.21725	25.38565	25.55681	25.69054	25.76819
9	26.07414	26.46226	26.87743	26.97495	27.17051	27.36050	27.55050	27.70729	27.81321
10	27.88767	28.26625	28.66647	28.80594	29.02323	29.23184	29.43711	29.61325	29.74482
11	29.57070	29.95527	30.35349	30.53305	30.77376	31.00189	31.22252	31.41694	31.57265
12	31.10881	31.51424	31.92398	32.14682	32.41595	32.66791	32.90744	33.12205	33.30236
13	32.49628	32.93352	33.36671	33.63749	33.94154	34.22365	34.48807	34.72733	34.93493
14	33.73826	34.21247	34.67707	34.99934	35.34403	35.66263	35.95863	36.22826	36.46740
15	34.84870	35.35955	35.85864	36.23339	36.62203	36.98171	37.31495	37.62034	37.89555
16	35.84631	36.38969	36.92200	37.34741	37.78028	38.18301	38.55691	38.90190	39.21679
17	36.75052	37.32054	37.88201	38.35393	38.82863	39.27368	39.68908	40.07535	40.43188
18	37.57867	38.16937	38.75472	39.26759	39.77988	40.26438	40.71987	41.14694	41.54518
19	38.34476	38.95105	39.55512	40.10283	40.64762	41.16740	41.65990	42.12558	42.56396
20	39.05936	39.67740	40.29583	40.87249	41.44464	41.99498	42.52055	43.02149	43.49721
21	39.73002	40.35724	40.98674	41.58717	42.18196	42.75827	43.31265	43.84501	44.35455
22	40.36211	40.99692	41.63525	42.25515	42.86863	43.46675	44.04590	44.60572	45.14531
23	40.95944	41.60099	42.24674	42.88273	43.51172	44.12817	44.72844	45.31205	45.87800
24	41.52485	42.17275	42.82512	43.47463	44.11671	44.74866	45.36699	45.97111	46.56001
25	42.06062	42.71475	43.37330	44.03444	44.68778	45.33303	45.96689	46.58874	47.19760
26	42.56873	43.22905	43.89358	44.56494	45.22821	45.88506	46.53242	47.16970	47.79597
27	43.05095	43.71747	44.38788	45.06842	45.74062	46.40777	47.06702	47.71785	48.35940
28	43.50897	44.18169	44.85790	45.54682	46.22720	46.90364	47.57351	48.23636	48.89142
29	43.94439	44.62325	45.30520	46.00186	46.68983	47.37476	48.05422	48.72785	49.39496
30	44.35873	45.04367	45.73127	46.43513	47.13020	47.82296	48.51119	49.19458	49.87253
31	44.75343	45.44433	46.13749	46.84809	47.54986	48.24990	48.94618	49.63849	50.32626
32	45.12986	45.82660	46.52519	47.24213	47.95022	48.65706	49.36081	50.06129	50.75804
33	45.48926	46.19170	46.89561	47.61852	48.33261	49.04583	49.75652	50.46456	51.16953
34	45.83279	46.54079	47.24991	47.97846	48.69825	49.41747	50.13464	50.84968	51.56224
35	46.16150	46.87495	47.58915	48.32305	49.04827	49.77315	50.49640	51.21796	51.93753
36	46.47636	47.19512	47.91432	48.65331	49.38372	50.11396	50.84292	51.57057	52.29665
37	46.77820	47.50220	48.22631	48.97016	49.70555	50.44089	51.17523	51.90859	52.64073
38	47.06781	47.79696	48.52592	49.27443	50.01462	50.75482	51.49427	52.23300	52.97081
39	47.34587	48.08010	48.81386	49.56689	50.31171	51.05658	51.80089	52.54470	53.28783
40	47.61299	48.35226	49.09079	49.84820	50.59753	51.34690	52.09586	52.84449	53.59264
41	47.86970	48.61399	49.35727	50.11898	50.87271	51.62645	52.37989	53.13312	53.88602
42	48.11650	48.86579	49.61382	50.37975	51.13781	51.89581	52.65358	53.41122	54.16865
43	48.35382	49.10810	49.86090	50.63099	51.39333	52.15551	52.91750	53.67940	54.44116
44	48.58204	49.34133	50.09891	50.87315	51.63972	52.40602	53.17213	53.93818	54.70412
45	48.80151	49.56583	50.32821	51.10658	51.87737	52.64775	53.41794	54.18803	54.95801
46	49.01255	49.78191	50.54913	51.33164	52.10664	52.88109	53.65529	54.42936	55.20329
47	49.21545	49.98988	50.76197	51.54863	52.32785	53.10636	53.88456	54.66254	55.44034
48	49.41048	50.19001	50.96700	51.75783	52.54128	53.32387	54.10604	54.88791	55.66953
49	49.59791	50.38254	51.16446	51.95950	52.74720	53.53388	54.32003	55.10577	55.89117
50	49.77796	50.56773	51.35460	52.15386	52.94584	53.73663	54.52677	55.31637	56.10553
51	49.95088	50.74578	51.53763	52.34116	53.13743	53.93236	54.72650	55.51997	56.31287
52	50.11688	50.91692	51.71377	52.52158	53.32217	54.12127	54.91942	55.71677	56.51342
53	50.27620	51.08137	51.88321	52.69532	53.50027	54.30355	55.10575	55.90699	56.70740
54	50.42903	51.23932	52.04615	52.86259	53.67190	54.47940	55.28566	56.09081	56.89499
55	50.57560	51.39097	52.20279	53.02357	53.83725	54.64898	55.45932	56.26840	57.07636
56	50.71611	51.53654	52.35332	53.17843	53.99650	54.81247	55.62691	56.43994	57.25170
57	50.85077	51.67621	52.49792	53.32736	54.14981	54.97004	55.78858	56.60557	57.42115
58	50.97979	51.81018	52.63677	53.47053	54.29736	55.12184	55.94450	56.76546	57.58487
59	51.10338	51.93866	52.77008	53.60813	54.43931	55.26804	56.09482	56.91976	57.74301
60	51.22173	52.06182	52.89802	53.74033	54.57584	55.40880	56.23968	57.06860	57.89571

Element	Gd	Tb	Dy	Ho	Er	Tm	Yb	Lu	Hf
Z	64	65	66	67	68	69	70	71	72
s
0	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000
1	3.71361	3.61003	3.58129	3.55174	3.52320	3.49352	3.46493	3.55150	3.53769
2	7.85846	7.71283	7.67561	7.63634	7.60049	7.56010	7.51513	7.64243	7.65165
3	11.87023	11.75719	11.73154	11.70630	11.68736	11.65817	11.61547	11.69634	11.69972
4	15.51039	15.40658	15.39347	15.38593	15.38890	15.37564	15.33913	15.42634	15.47770
5	18.74647	18.64177	18.65196	18.67051	18.70234	18.71081	18.68517	18.82076	18.94311
6	21.51468	21.43284	21.47837	21.53281	21.60137	21.64017	21.63498	21.83614	22.03782
7	23.91627	23.88725	23.96877	24.05874	24.16249	24.23254	24.25196	24.49728	24.75775
8	26.09535	26.12906	26.24261	26.36312	26.49629	26.59446	26.63899	26.90009	27.18736
9	28.13360	28.22255	28.36456	28.51140	28.66909	28.79252	28.86244	29.12578	29.41882
10	30.06041	30.19256	30.35998	30.52974	30.70818	30.85451	30.94989	31.21431	31.50686
11	31.88606	32.05250	32.24256	32.43217	32.62811	32.79487	32.91479	33.18232	33.47536
12	33.61615	33.81265	34.02361	34.23101	34.44208	34.62698	34.76985	35.04127	35.33636
13	35.25308	35.47907	35.71101	35.93593	36.16142	36.36324	36.52769	36.80277	37.10023
14	36.79567	37.05282	37.30767	37.55182	37.79297	38.01213	38.19791	38.47694	38.77678
15	38.24058	38.53150	38.81250	39.07905	39.33878	39.57731	39.78550	40.07028	40.37345
16	39.58478	39.91198	40.22273	40.51552	40.79768	41.05867	41.29145	41.58529	41.89416
17	40.82754	41.19272	41.53630	41.85898	42.16747	42.45440	42.71447	43.02162	43.33975
18	41.97127	42.37492	42.75330	43.10864	43.44678	43.76280	44.05283	44.37769	44.70926
19	43.02132	43.46263	43.87646	44.26601	44.63605	44.98352	45.30566	45.65219	46.00131
20	43.98512	44.46218	44.91082	45.33481	45.73781	46.11808	46.47366	46.84497	47.21519
21	44.87117	45.38131	45.86307	46.32062	46.75648	47.16983	47.55927	47.95743	48.35143
22	45.68820	46.22827	46.74079	47.23010	47.69780	48.14358	48.56642	48.99245	49.41196
23	46.44445	47.01119	47.55172	48.07047	48.56826	49.04508	49.50015	49.95417	50.39996
24	47.14738	47.73763	48.30329	48.84887	49.37460	49.88057	50.36614	50.84752	51.31957
25	47.80343	48.41429	49.00232	49.57206	50.12337	50.65631	51.17032	51.67789	52.17554
26	48.41809	49.04700	49.65483	50.24620	50.82069	51.37830	51.91852	52.45076	52.97288
27	48.99594	49.64070	50.26607	50.87671	51.47209	52.05210	52.61627	53.17146	53.71663
28	49.54081	50.19957	50.84048	51.46830	52.08245	52.68272	53.26864	53.84498	54.41164
29	50.05590	50.72711	51.38187	52.02503	52.65604	53.27458	53.88020	54.47593	55.06245
30	50.54390	51.22628	51.89346	52.55037	53.19655	53.83157	54.45500	55.06843	55.67321
31	51.00714	51.69962	52.37799	53.04730	53.70715	54.35706	54.99660	55.62616	56.24769
32	51.44764	52.14932	52.83784	53.51836	54.19060	54.85399	55.50813	56.15239	56.78923
33	51.86716	52.57728	53.27506	53.96579	54.64928	55.32491	55.99230	56.64997	57.30083
34	52.26731	52.98520	53.69148	54.39154	55.08529	55.77207	56.45152	57.12145	57.78512
35	52.64951	53.37461	54.08870	54.79733	55.50047	56.19744	56.88790	57.56904	58.24446
36	53.01508	53.74685	54.46818	55.18470	55.89647	56.60278	57.30331	57.99473	58.68094
37	53.36518	54.10319	54.83122	55.55503	56.27474	56.98964	57.69941	58.40029	59.09641
38	53.70092	54.44473	55.17900	55.90957	56.63663	57.35943	58.07770	58.78729	59.49253
39	54.02325	54.77251	55.51260	56.24946	56.98331	57.71342	58.43952	59.15715	59.87082
40	54.33309	55.08747	55.83299	56.57572	57.31587	58.05275	58.78608	59.51116	60.23260
41	54.63124	55.39043	56.14107	56.88928	57.63530	58.37845	59.11849	59.85047	60.57912
42	54.91843	55.68217	56.43763	57.19099	57.94249	58.69148	59.43774	60.17613	60.91146
43	55.19531	55.96338	56.72340	57.48161	58.23823	58.99268	59.74472	60.48910	61.23063
44	55.46248	56.23467	56.99903	57.76182	58.52327	59.28282	60.04027	60.79022	61.53755
45	55.72046	56.49660	57.26511	58.03226	58.79826	59.56261	60.32511	61.08030	61.83303
46	55.96972	56.74968	57.52217	58.29348	59.06380	59.83267	60.59992	61.36002	62.11783
47	56.21069	56.99434	57.77068	58.54598	59.32041	60.09357	60.86531	61.63005	62.39262
48	56.44373	57.23098	58.01106	58.79021	59.56858	60.34582	61.12181	61.89094	62.65802
49	56.66918	57.45995	58.24368	59.02657	59.80874	60.58989	61.36992	62.14323	62.91457
50	56.88734	57.68157	58.46890	59.25542	60.04126	60.82617	61.61007	62.38738	63.16278
51	57.09846	57.89613	58.68699	59.47708	60.26650	61.05505	61.84266	62.62381	63.40309
52	57.30280	58.10387	58.89824	59.69184	60.48475	61.27683	62.06804	62.85289	63.63591
53	57.50057	58.30503	59.10288	59.89994	60.69629	61.49183	62.28653	63.07498	63.86160
54	57.69196	58.49981	59.30113	60.10163	60.90137	61.70030	62.49842	63.29036	64.08049
55	57.87716	58.68840	59.49319	60.29711	61.10021	61.90249	62.70394	63.49931	64.29285
56	58.05634	58.87098	59.67924	60.48657	61.29301	62.09859	62.90334	63.70208	64.49897
57	58.22965	59.04771	59.85944	60.67018	61.47995	62.28882	63.09682	63.89888	64.69906
58	58.39725	59.21873	60.03396	60.84811	61.66120	62.47333	63.28456	64.08991	64.89334
59	58.55928	59.38420	60.20294	61.02050	61.83691	62.65230	63.46674	64.27535	65.08201
60	58.71589	59.54426	60.36651	61.18749	62.00723	62.82588	63.64352	64.45537	65.26522

Element	Ta	W	Re	Os	Ir	Pt	Au	Hg	Tl
Z	73	74	75	76	77	78	79	80	81
s
0	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000
1	3.51110	3.47440	3.42084	3.39710	3.35665	2.62718	2.92007	3.21624	3.35316
2	7.66380	7.67506	7.62562	7.69565	7.70093	7.28299	7.38597	7.64856	7.98942
3	11.69611	11.69835	11.62131	11.73418	11.75575	11.40374	11.54618	11.74935	12.05736
4	15.50242	15.51176	15.45172	15.58139	15.62856	15.28380	15.43449	15.65381	15.91600
5	19.03205	19.08462	19.08376	19.22645	19.31307	19.11956	19.21786	19.38841	19.60547
6	22.21447	22.35035	22.44359	22.62667	22.77449	22.75224	22.84500	22.97772	23.15315
7	25.01132	25.23775	25.43378	25.68056	25.90537	26.02263	26.17202	26.32856	26.50417
8	27.48515	27.77632	28.05343	28.36068	28.65719	28.88260	29.11511	29.33911	29.56069
9	29.73240	30.05529	30.37962	30.72615	31.07261	31.37642	31.68425	31.98262	32.27085
10	31.82262	32.15546	32.49975	32.86379	33.23607	33.58901	33.94846	34.30452	34.65371
11	33.79048	34.12464	34.47451	34.84275	35.22395	35.60220	35.98954	36.38055	36.77187
12	35.65180	35.98581	36.33640	36.70384	37.08589	37.47454	37.87334	38.28093	38.69506
13	37.41684	37.75117	38.10173	38.46783	38.84850	39.24070	39.64231	40.05533	40.47858
14	39.09480	39.42981	39.78048	40.14591	40.52538	40.91911	41.32016	41.73338	42.15838
15	40.69343	41.02943	41.38044	41.74578	42.12467	42.51974	42.91950	43.33120	43.75506
16	42.21771	42.55571	42.90766	43.27348	43.65234	44.04884	44.44763	44.85771	45.27989
17	43.66969	44.01175	44.36609	44.73342	45.11300	45.51094	45.90946	46.31852	46.73945
18	45.04926	45.39840	45.75753	46.12814	46.50976	46.90936	47.30865	47.71764	48.13811
19	46.35531	46.71511	47.08215	47.45859	47.84426	48.24630	48.64781	49.05803	49.47908
20	47.58687	47.96098	48.33936	48.72466	49.11697	49.52295	49.92857	50.34169	50.76463
21	48.74383	49.13553	49.52858	49.92586	50.32771	50.73978	51.15174	51.56978	51.99627
22	49.82728	50.23921	50.64979	51.06198	51.47623	51.89694	52.31766	52.74286	53.17482
23	50.83952	51.27353	51.70388	52.13342	52.56264	52.99462	53.42649	53.86116	54.30069
24	51.78390	52.24104	52.69265	53.14138	53.58768	54.03338	54.47860	54.92490	55.37411
25	52.66446	53.14507	53.61877	54.08786	54.55277	55.01429	55.47468	55.93453	56.39540
26	53.48571	53.98955	54.48551	54.97556	55.46004	55.93896	56.41593	56.89088	57.36512
27	54.25230	54.77868	55.29660	55.80766	56.31214	56.80952	57.30402	57.79523	58.28421
28	54.96886	55.51676	56.05594	56.58766	57.11212	57.62853	58.14109	58.64929	59.15401
29	55.63980	56.20800	56.76750	57.31920	57.86326	58.39880	58.92956	59.45512	59.97622
30	56.26923	56.85643	57.43512	58.00591	58.56891	59.12335	59.67213	60.21510	60.75286
31	56.86093	57.46579	58.06247	58.65132	59.23243	59.80523	60.37161	60.93174	61.48617
32	57.41832	58.03952	58.65296	59.25877	59.85704	60.44746	61.03082	61.60768	62.17854
33	57.94447	58.58075	59.20973	59.83140	60.44580	61.05295	61.65256	62.24557	62.83242
34	58.44213	59.09230	59.73566	60.37207	61.00158	61.62451	62.23954	62.84799	63.45027
35	58.91374	59.57669	60.23333	60.88343	61.52702	62.16472	62.79433	63.41746	64.03451
36	59.36149	60.03620	60.70509	61.36788	62.02456	62.67603	63.31935	63.95636	64.58745
37	59.78733	60.47288	61.15307	61.82759	62.49642	63.16068	63.81684	64.46693	65.11132
38	60.19301	60.88854	61.57916	62.26453	62.94463	63.62073	64.28890	64.95127	65.60820
39	60.58011	61.28485	61.98508	62.68050	63.37103	64.05808	64.73746	65.41133	66.08005
40	60.95004	61.66329	62.37241	63.07711	63.77731	64.47447	65.16428	65.84891	66.52868
41	61.30409	62.02520	62.74254	63.45584	64.16499	64.87147	65.57101	66.26568	66.95579
42	61.64342	62.37182	63.09676	63.81802	64.53547	65.25055	65.95912	66.66316	67.36294
43	61.96908	62.70424	63.43623	64.16487	64.89001	65.61303	66.33000	67.04278	67.75158
44	62.28204	63.02348	63.76202	64.49750	65.22977	65.96012	66.68491	67.40582	68.12304
45	62.58316	63.33045	64.07507	64.81692	65.55582	66.29295	67.02499	67.75348	68.47856
46	62.87323	63.62598	64.37627	65.12405	65.86912	66.61251	67.35131	68.08686	68.81925
47	63.15296	63.91083	64.66642	65.41973	66.17054	66.91974	67.66483	68.40696	69.14617
48	63.42301	64.18568	64.94624	65.70471	66.46088	67.21549	67.96644	68.71470	69.46027
49	63.68397	64.45116	65.21638	65.97970	66.74089	67.50053	68.25694	69.01093	69.76243
50	63.93635	64.70783	65.47745	66.24532	67.01122	67.77557	68.53709	69.29641	70.05346
51	64.18064	64.95619	65.72997	66.50215	67.27247	68.04124	68.80754	69.57187	70.33409
52	64.41727	65.19670	65.97444	66.75069	67.52519	68.29812	69.06891	69.83793	70.60500
53	64.64663	65.42978	66.21130	66.99142	67.76989	68.54675	69.32177	70.09520	70.86682
54	64.86905	65.65578	66.44094	67.22475	68.00700	68.78759	69.56661	70.34419	71.12009
55	65.08486	65.87506	66.66371	67.45107	68.23692	69.02108	69.80389	70.58540	71.36534
56	65.29432	66.08789	66.87993	67.67072	68.46003	69.24762	70.03403	70.81927	71.60303
57	65.49770	66.29456	67.08989	67.88399	68.67665	69.46754	70.25740	71.04618	71.83358
58	65.69521	66.49531	67.29386	68.09118	68.88708	69.68116	70.47434	71.26651	72.05737
59	65.88707	66.69034	67.49205	68.29252	69.09158	69.88876	70.68515	71.48058	72.27474
60	66.07345	66.87986	67.68468	68.48825	69.29039	70.09061	70.89009	71.68866	72.48602

Element	Pb	Bi	Po	At	Rn	Fr	Ra	Ac	Th
Z	82	83	84	85	86	87	88	89	90
s
0	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000
1	3.34621	3.27806	3.33281	3.32115	3.26930	3.83241	4.44464	4.60565	4.53225
2	8.22217	8.29008	8.55914	8.68626	8.67890	9.01288	9.43761	9.70196	9.73030
3	12.41125	12.73684	13.12943	13.45896	13.67755	13.96293	14.28181	14.56415	14.68382
4	16.22970	16.58625	16.98331	17.39841	17.80231	18.20342	18.59738	18.95415	19.10180
5	19.86837	20.17179	20.51378	20.88858	21.29218	21.72790	22.18172	22.62985	22.83294
6	23.37158	23.62798	23.91920	24.23940	24.58760	24.97453	25.39443	25.83912	26.08504
7	26.70653	26.93777	27.19750	27.48284	27.79204	28.13066	28.49894	28.89569	29.15467
8	29.78902	30.02992	30.28696	30.56176	30.85496	31.16853	31.50434	31.86395	32.12548
9	32.55386	32.83610	33.12152	33.41324	33.71411	34.02674	34.35324	34.69753	34.96690
10	34.99597	35.33272	35.66572	35.99589	36.32636	36.66045	36.99990	37.34880	37.63823
11	37.16069	37.54632	37.92853	38.30468	38.67709	39.04766	39.41742	39.78790	40.11077
12	39.11241	39.53176	39.95218	40.36861	40.78241	41.19310	41.60084	42.00369	42.36942
13	40.90935	41.34687	41.79059	42.23479	42.68028	43.12499	43.56818	44.00554	44.41624
14	42.59319	43.03767	43.49207	43.95125	44.41593	44.88381	45.35352	45.82004	46.27058
15	44.18948	44.63479	45.09182	45.55657	46.02985	46.51011	46.99576	47.48239	47.96308
16	45.71259	46.15634	46.61211	47.07707	47.55215	48.03675	48.52946	49.02718	49.52726
17	47.17058	47.61243	48.06580	48.52881	49.00237	49.48660	49.98052	50.48246	50.99268
18	48.56838	49.00889	49.46012	49.92093	50.39203	50.87389	51.36601	51.86803	52.38179
19	49.90941	50.34947	50.79941	51.25863	51.72758	52.20682	52.69615	53.19634	53.70975
20	51.19617	51.63680	52.08653	52.54511	53.01275	53.49000	53.97677	54.47467	54.98596
21	52.43042	52.87284	53.32354	53.78256	54.24992	54.72616	55.21118	55.70716	56.21594
22	53.61325	54.05891	54.51192	54.97254	55.44075	55.91711	56.40144	56.89625	57.40291
23	54.74527	55.19583	55.65265	56.11619	56.58647	57.06414	57.54895	58.04351	58.54882
24	55.82679	56.28406	56.74634	57.21425	57.68794	58.16821	58.65471	59.15007	59.65498
25	56.85810	57.32388	57.79336	58.26721	58.74575	59.22997	59.71947	60.21675	60.72234
26	57.83958	58.31562	58.79400	59.27537	59.76029	60.24988	60.74374	61.24415	61.75155
27	58.77191	59.25976	59.74862	60.23906	60.73186	61.22825	61.72786	62.23269	62.74312
28	59.65612	60.15705	60.65779	61.15870	61.66081	62.16539	62.67210	63.18267	63.69739
29	60.49357	61.00858	61.52233	62.03492	62.54761	63.06165	63.57676	64.09436	64.61464
30	61.28596	61.81573	62.34333	62.86859	63.39292	63.91754	64.44222	64.96805	65.49516
31	62.03522	62.58016	63.12218	63.66083	64.19764	64.73377	65.26900	65.80418	66.33929
32	62.74351	63.30374	63.86049	64.41300	64.96290	65.51124	66.05784	66.60329	67.14746
33	63.41306	63.98851	64.56004	65.12666	65.69003	66.25108	66.80966	67.36615	67.92027
34	64.04617	64.63658	65.22276	65.80353	66.38054	66.95460	67.52556	68.09365	68.65848
35	64.64514	65.25011	65.85064	66.44543	67.03606	67.62324	68.20682	68.78691	69.36298
36	65.21220	65.83123	66.44569	67.05424	67.65832	68.25858	68.85483	69.44713	70.03482
37	65.74952	66.38202	67.00992	67.63183	68.24908	68.86224	69.47109	70.07566	70.67518
38	66.25915	66.90451	67.54527	68.18009	68.81013	69.43589	70.05715	70.67391	71.28532
39	66.74304	67.40061	68.05362	68.70083	69.34321	69.98121	70.61459	71.24336	71.86659
40	67.20301	67.87214	68.53677	69.19582	69.85004	70.49985	71.14499	71.78549	72.42036
41	67.64078	68.32080	68.99643	69.66673	70.33226	70.99341	71.64990	72.30179	72.94803
42	68.05791	68.74819	69.43420	70.11516	70.79145	71.46344	72.13082	72.79371	73.45099
43	68.45590	69.15581	69.85158	70.54262	71.22912	71.91143	72.58923	73.26267	73.93061
44	68.83610	69.54503	70.24999	70.95052	71.64668	72.33878	73.02652	73.71006	74.38824
45	69.19977	69.91716	70.63072	71.34019	72.04547	72.74685	73.44402	74.13719	74.82516
46	69.54808	70.27337	70.99501	71.71287	72.42674	73.13689	73.84301	74.54533	75.24264
47	69.88210	70.61478	71.34398	72.06972	72.79167	73.51008	74.22466	74.93566	75.64185
48	70.20283	70.94241	71.67868	72.41180	73.14134	73.86754	74.59011	75.30931	76.02393
49	70.51118	71.25721	72.00009	72.74012	73.47678	74.21030	74.94041	75.66736	76.38996
50	70.80798	71.56003	72.30911	73.05561	73.79895	74.53935	75.27655	76.01079	76.74094
51	71.09401	71.85169	72.60656	73.35912	74.10871	74.85557	75.59945	76.34056	77.07783
52	71.36997	72.13291	72.89322	73.65144	74.40690	75.15982	75.90996	76.65754	77.40152
53	71.63652	72.40439	73.16978	73.93331	74.69426	75.45287	76.20890	76.96255	77.71286
54	71.89424	72.66672	73.43689	74.20539	74.97149	75.73544	76.49700	77.25636	78.01262
55	72.14367	72.92050	73.69514	74.46831	75.23925	76.00821	76.77496	77.53968	78.30154
56	72.38531	73.16622	73.94509	74.72264	75.49811	76.27179	77.04342	77.81316	78.58030
57	72.61959	73.40436	74.18721	74.96890	75.74864	76.52674	77.30296	78.07743	78.84953
58	72.84694	73.63536	74.42198	75.20756	75.99132	76.77359	77.55413	78.33304	79.10982
59	73.06770	73.85959	74.64979	75.43905	76.22661	77.01282	77.79743	78.58052	79.36171
60	73.28222	74.07742	74.87103	75.66378	76.45494	77.24487	78.03332	78.82035	79.60571

Element	Pa	U
Z	91	92
s
0	0.00000	0.00000
1	4.48605	4.46901
2	9.64760	9.65990
3	14.50305	14.53454
4	18.88630	18.93052
5	22.67010	22.75975
6	26.01979	26.15376
7	29.17627	29.33734
8	32.20889	32.38794
9	35.09984	35.29714
10	37.82179	38.04410
11	40.35125	40.60907
12	42.67134	42.97470
13	44.77871	45.13292
14	46.68677	47.09059
15	48.42205	48.86853
16	50.01657	50.49569
17	51.50089	52.00222
18	52.89990	53.41447
19	54.23161	54.75278
20	55.50792	56.03139
21	56.73622	57.25961
22	57.92097	58.44323
23	59.06486	59.58582
24	60.16964	60.68962
25	61.23646	61.75612
26	62.26615	62.78632
27	63.25930	63.78093
28	64.21633	64.74047
29	65.13757	65.66531
30	66.02329	66.55575
31	66.87380	67.41207
32	67.68946	68.23461
33	68.47077	69.02374
34	69.21834	69.77999
35	69.93291	70.50398
36	70.61540	71.19646
37	71.26680	71.85830
38	71.88825	72.49049
39	72.48094	73.09410
40	73.04613	73.67027
41	73.58512	74.22018
42	74.09919	74.74506
43	74.58967	75.24613
44	75.05784	75.72462
45	75.50493	76.18173
46	75.93219	76.61863
47	76.34076	77.03649
48	76.73178	77.43640
49	77.10631	77.81941
50	77.46537	78.18654
51	77.80991	78.53875
52	78.14084	78.87696
53	78.45901	79.20201
54	78.76522	79.51472
55	79.06021	79.81586
56	79.34470	80.10614
57	79.61932	80.38622
58	79.88468	80.65672
59	80.14135	80.91823
60	80.38984	81.17129

There are two kinds of relativistic correction that can be made on inelastic scattering factors. The first is for relativistic effects on the atomic field and has been neglected. This should not be too serious since HF wavefunctions are used and the corrections are only large for the heavier atoms where the contribution to the total scattering for $[s\gt]$ 3–4 Å⁻¹ tends to be negligible. The other correction is for effects in the scattering process, which can be significant above 40 keV, but again these corrections tend to be localized to the small-angle region ( $[s\lt]$ 3 Å⁻¹) (Yates, 1970 ). Hence the tables of inelastic scattering factors given here are based on HF atomic fields since these appear to be the most accurate results presently available.

The inelastic scattering equations must be modified in order to compare theory with experiment. First, the Morse theory is corrected to ensure that both energy and momentum are conserved in the scattering process. In the description of the elastic scattering process, no transformation is required from the centre-of-mass system (CMS), where the scattering factors are calculated, to the laboratory system (LS), where data are taken, since the nuclei are heavy compared with the incident electrons. In the inelastic channels, a similar argument holds for scattering involving the bound states. However, for ionizing processes, the interaction can be assumed to take place between the incident electron and the ejected electron, so that the CMS is entirely different from the LS. Considering the atomic electrons as free particles and considering only the ionization process, the transformation between the CMS and the LS is possible and leads to the Bethe modification (Tavard & Bonham, 1969 ) for inelastic scattering. The inelastic cross section can now be given by $[\sigma_{\rm inel}={4\cos(2\theta)S(s\cos\theta) \over a^2s^4\cos^4\theta}]$ for $[\theta\lt\pi/4]$ and by $[\sigma_{\rm inel}=0]$ for $[\theta\gt\pi/4]$ .

Another modification is necessary because the average energy of inelastically scattered electrons varies with energy and is given from approximate conservation of energy and momentum for a fast incident particle by $[k^2\cos^2(2\theta)]$ . This means that for $[s\gt]$ 30 Å⁻¹ at 40 keV the average energy of inelastically scattered electrons may be around 30 keV and the fact that the response of the detector may be different for the 40 keV inelastically scattered electrons and the elastic ones may have to be considered (Fink, Bonham, Lee & Ng, 1969 ).

In addition to the values given in Table 4.3.3.2 , a few calculations of S(s) have been carried out with very exact wavefunctions that include more than 85% of the correlation energy (Kohl & Bonham, 1967 ; Bartell & Gavin, 1964 ; Peixoto, Bunge & Bonham, 1969 ; Thakkar & Smith, 1978 ; Wang, Esquivel, Smith & Bunge, 1995 ).

4.3.3.2.3. Corrections for defects in the theory of atomic scattering

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Errors in the inelastic scattering factors from the three approximations made in the Morse theory have been investigated (Tavard & Bonham, 1969 ; Bonham, 1965b ). The Morse theory breaks down at very large scattering angles $[(\theta\gt30^\circ)]$ , and is incorrect at small angles. Investigations carried out so far indicate that the small-angle failure is not serious outside s = 1 Å⁻¹. It must be stressed that these uncertainties do not introduce important errors into the analysis of molecular structure using theoretical atomic scattering amplitudes. This is mainly because such deviations are smooth compared with molecular features and thus do not interfere with the analysis of molecular structure.

4.3.3.3. Molecular scattering factors for electrons

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The simplest theory of molecular scattering assumes that a molecule consists of spherical atoms and that each electron is scattered by only one atom in the molecule. If only single scattering is allowed within each atom, the molecular intensity can be written as $[\eqalignno{ I(s) &=I_a(s)+I_m(s) \cr &=\left[{{4I_0}\over {a^2s^4R^2}}\right]\Biggl[\sum^M_{i=1}\{[Z_i-F_i(s)]^2+S_i(s)\} \cr & +\sum^M_i\,\sum^M_{j\neq i}[Z_i-F_i(s)][Z_j-F_j(s)] \cr & \times \int\limits^\infty_0 {\rm d} r\,P_{ij}(r,T)(\sin sr)/sr\Biggr], & (4.3.3.1)}]$ where M is the number of constituent atoms in the molecule, [F_i(s)] and [S_i(s)] are the coherent and incoherent X-ray scattering factors, and $[P_{ij}(r, T)]$ is the probability of finding atom i at a distance r from atom j at the temperature T (Bonham & Su, 1966 ; Kelley & Fink, 1982b ; Mawhorter, Fink & Archer, 1983 ; Mawhorter & Fink, 1983 ; Miller & Fink, 1985 ; Hilderbrandt & Kohl, 1981 ; Kohl & Hilderbrandt, 1981 ). The constant [I_0] is proportional to the product of the intensities of the electron and molecular beams and R is the distance from the point of scattering to the detector. The single sum is the atomic intensity [I_a(s)] and the double sum is the molecular intensity [I_m(s)] . This expression, referred to here as the independent atom model (IAM), may be improved by replacing the atomic elastic electron scattering factors by their partial wave counterparts. This modification is necessary to explain the failure of the Born approximation observed in molecules containing light and heavy atoms in proximity (Schomaker & Glauber, 1952 ; Seip, 1965 ), and may be written as $[\eqalignno{ I(s) &=I_a(s)+I_m(s) \cr&={I_0\over R^2}\Biggl\{\sum^M_{i=1} [|\,f_i|^2+4S_i(s)/(a^2s^4)] \cr &+\sum^M_i \sum^M_{j\neq i}\,|\,f_i|\,|\,f_j|\cos (\eta_i-\eta_j) \cr & \times \int\limits^\infty_0\,{\rm d} r\,P_{ij}(r,T)(\sin sr)/sr\Biggr\}. & (4.3.3.2)}]$ This is the most commonly used expression for the interpretation of molecular gas electron-diffraction patterns in the keV energy range. If it is necessary to consider relativistic effects in the scattering intensity, equation (4.3.3.2) becomes (Yates & Bonham, 1969 ) $[\eqalignno{ I(s) &=I_a(s)+I_m(s) \cr &={I_0\over R^2}\Biggl\{\sum^M_{i=1} [|\,f_i|^2+|g_i|^2+4S_i(s)/(a^2s^4)] \cr & +\sum^M_i \sum^M_{j\neq i} [|\,f_i|\,|\,f_j|\cos (\eta ^f_i - \eta ^f_j)+|g_i| |g_j|\cos (\eta^g_i-\eta^g_j)] \cr & \times \int\limits^\infty_0\, {\rm d} r\,P_{ij}(r,T)(\sin sr)/sr\Biggr\}, & (4.3.3.3)}]$ where [|g_i|] and $[\eta^g_i]$ refer to the scattering-factor magnitude and phase for electrons that have changed their electron spin state during the scattering process and $[|\,f_i|]$ and $[\eta^f_i]$ refer to retention of spin orientation. The incident electron beam is assumed to be unpolarized and no attempt has been made to consider relativistic effects on the inelastic scattering cross section, which is usually negligible in the structural s range.

If it is necessary to consider binding effects, the first Born approximation may usually be used in describing molecular scattering, since binding effects are largest for molecules containing small atoms where the Born approximation is most valid.

The exact expression for I(s) in the first Born approximation can be written as (Bonham & Fink, 1974 ; Tavard & Roux, 1965 ; Tavard, Rouault & Roux, 1965 ; Iijima, Bonham & Ando, 1963 ; Bonham, 1967 ) $[\eqalignno{ I(s)&={{4I_0}\over {a^2s^4R^2}}\,\Biggr\{\sum^M_{i=1} (Z^2_i+Z_i) \cr& +\sum^M_i \sum^M_{j\neq i}\,Z_iZ_j \int\limits^\infty_0\,{\rm d} r\,P_{ij}(r,T)(\sin sr)/sr \cr& -2\sum^M_{i=1} Z_i \Biggl\langle\int\limits^{}_{} {\rm d} r\,\rho(r+r_i)(\sin sr)/sr\Biggr\rangle_{\rm vib} \cr &+ \Biggl\langle\int{\rm d} r\, \rho_c(r)(\sin sr)/sr\Biggr\rangle_{\rm vib}\Biggr\}, }]$ where $[\rho(r)=\textstyle\sum\limits^N_{i=1}\int{\rm d} r_1\ldots\int{\rm d} r_N\,|\psi(r_1,\ldots,r_N)|{}^2\delta(r-r_i)]$ and $[\rho_c(r)=\textstyle\sum\limits^N_i \sum\limits^N_{j\neq i} \int {\rm d} r_1\ldots\int{\rm d} r_N\,|\psi(r_1,\ldots,r_N)|{}^2\delta(r-r_i+r_j).]$ The brackets $[\langle\,\rangle_{\rm vib}]$ denote averaging over the vibrational motion, $[\delta(r)]$ is the Dirac delta function, and $[\psi(r_i,\ldots,r_n)]$ is the molecular wavefunction. Binding effects appear to be proportional to the ratio of the number of electrons involved in binding to the total number of electrons in the system (Kohl & Bonham, 1967 ; Bonham & Iijima, 1965 ) so that binding effects in molecules containing mainly heavy atoms should be quite small.

The intensities, I(s), for many small molecules have been calculated based on molecular Hartree–Fock wavefunctions. In most cases, a distinctive minimum has been found at about s = 3–4 Å⁻¹ and a much small maximum at s = 8–10 Å⁻¹ in the cross-sectional difference curve between the IAM and the molecular HF results (Pulay, Mawhorter, Kohl & Fink, 1983 ; Kohl & Bartell, 1969 ; Liu & Smith, 1977 ; Epstein & Stewart, 1977 ; Sasaki, Konaka, Iijima & Kimura, 1982 ; Shibata, Hirota, Kakuta & Muramatsu, 1980 ; Horota, Kakuta & Shibata, 1981 ; Xie, Fink & Kohl, 1984 ). Further studies using correlated wavefunctions (accounting for up to 60% of the correlation energy) showed that in the elastic channel the binding effects are only weakly modified; only the maximum at s = 8–10 Å⁻¹ is further reduced. However, strong effects are seen in the inelastic channel, deepening the minimum at s = 3–4 Å⁻¹ significantly (Breitenstein, Endesfelder, Meyer, Schweig & Zittlau, 1983 ; Breitenstein, Endesfelder, Meyer & Schweig, 1984 ; Breitenstein, Mawhorter, Meyer & Schweig, 1984 ; Wang, Tripathi & Smith, 1994 ). Detailed calculations on CO₂ and H₂O averaging over many internuclear distances and applying the pair distribution functions $[P_{ij}(r)]$ showed that vibrational effects do not alter the binding effects (Breitenstein, Mawhorter, Meyer & Schweig, 1986 ). For CO₂, the calculations have been confirmed in essence by an experimental set of data (McClelland & Fink, 1985 ). However, more molecules and more detailed analysis will be available in the future. The binding effects make it desirable to avoid the small-angle-scattering range when structural information is the main goal of a diffraction analysis.

The problem of intramolecular multiple scattering may necessitate corrections to the molecular intensity when three or more closely spaced heavy atoms are present. This correction (Karle & Karle, 1950 ; Hoerni, 1956 ; Bunyan, 1963 ; Gjønnes, 1964 ; Bonham, 1965a , 1966 ) appears to be more serious for three atoms in a right triangular configuration than for a collinear arrangement of three atoms. A case study by Kohl & Arvedson (1980 ) on SF₆ showed the importance of multiple scattering. However, their approach is too cumbersome to be used in routine structure work. A very good approximate technique is available utilizing the Glauber approximation (Bartell & Miller, 1980 ; Bartell & Wong, 1972 ; Wong & Bartell, 1973 ; Bartell, 1975 ); Kohl's results are reproduced quite well using the atomic scattering factors only. Several applications of the multiple scattering routines showed that the internuclear distances are rather insensitive to this perturbation, but the mean amplitudes of vibration can easily change by 10% (Miller & Fink, 1981 ; Kelley & Fink, 1982a ; Ketkar & Fink, 1985 ).

4.3.4. Electron energy-loss spectroscopy on solids

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C. Colliex^a

4.3.4.1. Definitions

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4.3.4.1.1. Use of electron beams

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Among the different spectroscopies available for investigating the electronic excitation spectrum of solids, inelastic electron scattering experiments are very useful because the range of accessible energy and momentum transfer is very large, as illustrated in Fig. 4.3.4.1 taken from Schnatterly (1979 ). Absorption measurements with photon beams follow the photon dispersion curve, because it is impossible to vary independently the energy and the momentum of a photon. In a scattering experiment, a quasi-parallel beam of monochromatic particles is incident on the specimen and one measures the changes in energy and momentum that can be attributed to the creation of a given excitation in the target. Inelastic neutron scattering is the most powerful technique for the low-energy range $[(\lesssim]$ 0.1 eV). On the other hand, inelastic X-ray scattering is well suited for the study of high momentum and large energy transfers because the energy resolution is limited to ∼1 eV and the cross section increases with momentum transfer. In the intermediate range, inelastic electron scattering [or electron energy-loss spectroscopy (EELS )] is the most useful technique. For recent reviews on different aspects of the subject, the reader may consult the texts by Schnatterly (1979 ), Raether (1980 ), Colliex (1984 ), Egerton (1986 ), and Spence (1988a ).

Figure 4.3.4.1| top | pdf |

Definition of the regions in (E, q) space that can be investigated with the different primary sources of particles available at present [courtesy of Schnatterly (1979 )].

4.3.4.1.2. Parameters involved in the description of a single inelastic scattering event

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The importance of inelastic scattering as a function of energy and momentum transfer is governed by a double differential cross section: $[{{\rm d}^2\sigma\over {\rm d}\Omega\,{\rm d}(\Delta E)}, \eqno (4.3.4.1)]$ where d $[\Omega]$ corresponds to the solid angle of acceptance of the detector and d(ΔE) to the energy window transmitted by the spectrometer. The experimental conditions must therefore be defined before any interpretation of the data is possible. Integrations of the cross section over the relevant angular and energy-loss domains correspond to partial or total cross sections, depending on the feature measured. For instance, the total inelastic cross section $[(\sigma_i)]$ corresponds to the probability of suffering any energy loss while being scattered into all solid angles. The discrimination between elastic and inelastic signal is generally defined by the energy resolution of the spectrometer, that is the minimum energy loss that can be unambiguously distinguished from the zero-loss peak; it is therefore very dependent on the instrumentation used.

The kinematics of a single inelastic event can be described as shown in Fig. 4.3.4.2 . In contrast to the elastic case, there is no simple relation between the scattering angle $[\theta]$ and the transfer of momentum $[\hbar{\bf q}]$ . One has also to take into account the energy loss ΔE. Combining both equations of conservation of momentum and energy, $[{\hbar^2k'^2\over 2m_0}+\Delta E= {\hbar^2k^2\over 2m_0}, \eqno (4.3.4.2)]$ and $[q^2=k^2+k'^2 - 2kk'\cos\theta, \eqno (4.3.4.3)]$ one obtains $[(qa_0)^2={2E_0\over R}\left[1-\left(1-{\Delta E\over E_0}\right)^{1/2}\cos\theta\right]-{\Delta E\over R}, \eqno (4.3.4.4)]$ where the fundamental units $[a_0=\hbar^2/m_0e^2]$ = Bohr radius and $[R=m_0e^4/2\hbar^2]$ = Rydberg energy are used to introduce dimensionless quantities. In this kinematical description, one deals only with factors concerning the primary or the scattered particle, without considering specifically the information on the ejected electron. For a core-electron excitation of an atom, one distinguishes q (the momentum exchanged by the incident particle) and χ (the momentum gained by the excited electron), the difference being absorbed by the recoil of the target nucleus (Maslen & Rossouw, 1983 ).

Figure 4.3.4.2| top | pdf |

A primary electron of energy E₀ and wavevector k is inelastically scattered into a state of energy E₀ − ΔE and wavevector k′. The energy loss is ΔE and the momentum change is ħq. The scattering angle is θ and the scattered electron is collected within an aperture of solid angle dΩ.

4.3.4.1.3. Problems associated with multiple scattering

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The strong coupling potential between the primary electron and the solid target is responsible for the occurrence of multiple inelastic events (and of mixed inelastic–elastic events) for thick specimens. To describe the interaction of a primary particle with an assembly of randomly distributed scattering centres (with a density N per unit volume), a useful concept is the mean free path defined as $[\Lambda=1/N\sigma \eqno (4.3.4.5)]$ for the cross section σ. The ratio t/Λ measures the probability of occurrence of the event associated with the cross section σ when the incident particle travels a given length t through the material. This is true in the single scattering case, that is when $[t/\Lambda\ll1]$ .

For increased thicknesses, one must take into account all multiple scattering events and this contribution begins to be non-negligible for $[t\,\gtrsim]$ a few tens of nanometres. Multiple scattering is responsible for a broadening of the angular distribution of the scattering electrons – mostly due to single or multiple elastic events – and of an important fraction of inelastic electrons suffering more than one energy loss. The probability of having n inelastic processes of mean free path Λ is governed by the Poisson distribution: $[P_n(t)={1\over n!}\left({t\over \Lambda}\right)^{-n}\exp\left(-{t\over\Lambda}\right).\eqno (4.3.4.6)]$ Multiple losses introduce additional peaks in the energy-loss spectrum; they are also responsible for an increased background that complicates the detection of single characteristic core-loss signals. Consequently, when the specimen thickness is not very small (i.e. for $[t\,\gtrsim 50\hbox{ nm}]$ for 100 keV primary electrons), it is necessary to retrieve the single scattering profile that is truly representative of the electronic and chemical properties of the specimen.

Deconvolution techniques have therefore been developed to remove the effects of plural scattering from the low-loss spectrum (up to 100 eV) or from ionization edges but very few treatments deal with both angle and energy-loss distributions. Batson & Silcox (1983 ) have made a detailed study of the inelastic scattering properties of incident 75 keV electrons through a ~100 nm thick polycrystalline aluminium film , over the full range of transferred wavevectors $[(0\rightarrow3\,{\rm \AA}^{-1})]$ and energy losses $[(0\rightarrow100\,{\rm eV})]$ . Schattschneider (1983 ) has proposed a matrix approach that is sufficiently elaborate to handle angle-resolved energy-loss data. Simpler deconvolution schemes have been proposed and used for processing multiple losses without specific consideration of angular truncation effects. They are valid when the data have been recorded over sufficiently large angles of collection so that all appreciable inelastic scattering is included. They are generally based on Fourier transform techniques , except for the iterative approach of Daniels, Festenberg, Raether & Zeppenfeld (1970 ), which has been used for energy losses up to about 60 eV (Colliex, Gasgnier & Trebbia, 1976 ). The most accurate current methods are the Fourier-log method of Johnson & Spence (1974 ) and Spence (1979 ), and the Fourier-ratio method of Swyt & Leapman (1982 ), which only applies to the core-loss region. The first is far more complete and accurate and applies to any spectral range when one has recorded a full spectrum in unsaturated conditions.

4.3.4.1.4. Classification of the different types of excitations contained in an electron energy-loss spectrum

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Figs. 4.3.4.3 and 4.3.4.4 display examples of electron energy-loss spectra over large energy domains, typically from 1 to about 2000 eV. With one instrument, all elementary excitations from the near infrared to the X-ray domain can be investigated. Apart from the main beam or zero-loss peak, two major families of electronic transitions can be distinguished in such spectra:

(a) The excitations in the low or moderate energy-loss region $[(1\lt\Delta E\lt50\,{\rm eV})]$ concern the quasifree (valence and conduction) electron gas. In a pure metal, such as Al, the dominant feature is the intense narrow peak at 15 eV with its multiple satellites at about 30, 45, and 60 eV. One also detects an interband transition at 1.5 eV and a surface plasmon peak at $[\sim7]$ eV. For the more complex mineral specimen, rhodizite, this contribution lies in the intense and broad, but not very specific, peak around 25 eV. All these features are discussed in detail in Subsection 4.3.4.3 .

Figure 4.3.4.3| top | pdf |

Excitation spectrum of aluminium from 1 to 250 eV, investigated by EELS on 300 keV primary electrons [courtesy of Schnatterly (1979 )].

Figure 4.3.4.4| top | pdf |

Complete electron energy-loss spectrum of a thin rhodizite crystal (thickness ~60 nm). Separate spectra from eight significantly overlapping energy ranges were measured and matched. Primary energy 60 keV. Semi-angle of collection 5 mrad. Recording time 300 s (parallel acquisition). Scanned area 30 × 40 nm. Analysed mass 2 × 10⁻¹⁵ g [courtesy of Engel, Sauer, Zeitler, Brydson, Williams & Thomas (1988 )].

(b) The excitations in the high-energy-loss domain $[(50\lt\Delta E\lt2000\,{\rm eV})]$ concern excitation and ionization processes from core atomic orbitals: in Al, the $[L_{2,3}]$ edge is associated with the creation of holes on the 2p level, [L_1] is due to the excitation of 2s, and K of 1s electrons. These contributions appear as edges superposed on a regularly decreasing background. In the complex specimen, the succession of these different edges on top of the monotonously decaying background is a signature of the elemental composition, the intensity of the signals being roughly proportional to the relative concentration in the associated element. Core-level EELS spectroscopy therefore investigates transitions from one well defined atomic orbital to a vacant state above the Fermi level: it is a probe of the energy distribution of vacant states in a solid, see Fig. 4.3.4.5 . As the excited electron is promoted on a given atomic site, the information involved has two specific characters: it provides the local atomic point of view and it reflects the existence of the hole created, which can be more or less screened by the surrounding population of electrons in the solid. The properties of this family of excitations are the subject of Subsection 4.3.4.4 .

Figure 4.3.4.5| top | pdf |

Schematic energy-level representation of the origin of a core-loss excitation (from a core level C at energy E_c to an unoccupied state U above the Fermi level E_f) and its general shape in EELS , as superimposed on a continuously decreasing background.

The non-characteristic background is due to the superposition of several contributions: the high-energy tail of valence-electron scattering, the tails of core losses with lower binding energy, Bremsstrahlung energy losses, plural scattering, etc. It is therefore rather difficult to model its behaviour, although some efforts have been made along this direction using Monte Carlo simulation of multiple scattering (Jouffrey, Sevely, Zanchi & Kihn, 1985 ).

When one monochromatizes the natural energy width of the primary beam to much smaller values (about a few meV) than its natural width, one has access to the infrared part of the electromagnetic spectrum. An example is provided in Fig. 4.3.4.6 for a specimen of germanium in the energy-loss range 0 up to 500 meV. In this case, one can investigate phonon modes, or the bonding states of impurities on surfaces. This field has been much less extensively studied than the higher-energy-loss range [for references see Ibach & Mills (1982 )].

Figure 4.3.4.6| top | pdf |

Energy-loss spectrum, in the meV region, of an evaporated germanium film (thickness $[\simeq]$ 25 nm). Primary electron energy 25 keV. Scattering angle < 10⁻⁴. One detects the contributions of the phonon excitation, of the Ge—O bonding, and of intraband transitions [courtesy of Schröder & Geiger (1972 )].

Generally, EELS techniques can be applied to a large variety of specimens. However, for the following review to remain of limited size, it is restricted to electron energy-loss spectroscopy on solids and surfaces in transmission and reflection. It omits some important aspects such as electron energy-loss spectroscopy in gases with its associated information on atomic and molecular states. In this domain, a bibliography of inner-shell excitation studies of atoms and molecules by electrons, photons or theory is available from Hitchcock (1982 ).

4.3.4.2. Instrumentation

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4.3.4.2.1. General instrumental considerations

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In a dedicated instrument for electron inelastic scattering studies, one aims at the best momentum and energy resolution with a well collimated and monochromatized primary beam. This is achieved at the cost of poor spatial localization of the incident electrons and one assumes the specimens to be homogeneous over the whole irradiated volume. In a sophisticated instrument such as that built by Fink & Kisker (1980 ), the energy resolution can be varied from 0.08 to 0.7 eV, and the momentum transfer resolution between 0.03 and 0.2 Å⁻¹, but typical values for the electron-beam diameter are about 0.2 to 1 mm. Nowadays, many energy-analysing devices are coupled with an electron microscope: consequently, an inelastic scattering study involves recording for a primary intensity [I_0] , the current I(r, $[\boldtheta]$ , ΔE) scattered or transmitted at the position r on the specimen, in the direction $[\boldtheta]$ with respect to the primary beam, and with an energy loss ΔE. Spatial resolution is achieved either with a focused probe or by a selected area method, angular acceptance is defined by an aperture, and energy width is controlled by a detector function after the spectrometer. It is not possible from signal-to-noise considerations to reduce simultaneously all instrumental widths to very small values. One of the parameters (r, $[\boldtheta]$ or ΔE) is chosen for signal integration, another for selection, and the last is the variable. Table 4.3.4.1 classifies these different possibilities for inelastic scattering studies.

Table 4.3.4.1| top | pdf |
Different possibilities for using EELS information as a function of the different accessible parameters (r, $[\boldtheta]$ , ΔE)

	Integration parameter	Selection parameter	Results	Working mode of the spectrometer
1	$[\boldtheta]$	r	Spectrum I_r (ΔE)	Analyser
2	r	$[\boldtheta]$	Spectrum $[I_\boldtheta]$ (ΔE)	Analyser
3	$[\boldtheta]$	ΔE	Energy-filtered image $[I_{\Delta E}(\bf r)]$	Filter
4	r	ΔE	Energy-filtered diffraction pattern $[I_{\Delta E}({\boldtheta})]$	Filter

Because of the great variety of possible EELS experiments, it is impossible to build an optimum spectrometer for all applications. For instance, the design of a spectrometer for low-energy incident electrons and surface studies is different from that for high-energy incident electrons and transmission work. In the latter category, instruments built for dedicated EELS studies (Killat, 1974 ; Gibbons, Ritsko & Schnatterly, 1975 ; Fink & Kisker, 1980 ; etc.) are different from those inserted within an electron-microscope environment, in which case it is possible to investigate the excitation spectrum from a specimen area well characterized in image and diffraction [see the reviews by Colliex (1984 ) and Egerton (1986 )].

The literature on dispersive electron–optical systems (equivalent to optical prisms) is very large. For example, the theory of uniform field magnets, which constitute an important family of analysing devices, has been extensively developed for the components in high-energy particle accelerators (Enge, 1967 ; Livingood, 1969 ). As for EELS spectrometers , they can be classified as:

(a) Monochromators, which filter the incident beam to obtain the smallest primary energy width. The natural width for a heated W filament is about 1 eV, possibly rising to about a few eV as a consequence of stochastic interactions [Boersch (1954 ) effect, analysed for instance by Rose & Spehr (1980 )]. For a low-temperature field-emission source, this energy spread is only ∼0.3 eV. This constitutes a clear gain but remains insufficient for meV studies. In this case, one has to introduce a filter lens such as the three-electrode design developed by Hartl (1966 ) or a cylindrical electrostatic deflector before the accelerator [Kuyatt & Simpson (1967 ) or Gibbons et al. (1975 )]. In both cases, an energy resolution of 50 meV has been achieved for electron beams of 50–300 keV at the specimen.
(b) Analysers, which measure the energy distribution of the beam scattered from the specimen. They can be used either strictly as analysers displaying the energy loss from a given specimen volume, or as filters (or selecting devices) that provide 2D images or diffraction patterns with a given energy loss.

4.3.4.2.2. Spectrometers

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Fig. 4.3.4.7 defines the basic parameters of a `general' energy-loss spectrometer: a region of electrostatic E and/or magnetic B fields transforms a distribution of electrons [I_0] $[(x_0,y_0,t_0,u_0,\rho)]$ in the object plane of coordinate [z_0] along the principal trajectory, into a distribution of electrons [I_1] $[(x_1,y_1,t_1,u_1,\rho)]$ in the object plane of coordinate [z_1] , coincident with the detector plane (or optically conjugate to it). The transverse coordinates are labelled as (x, y), the angular ones as (t, u), and ρ = Δp/p = ΔE/2E is the relative change in absolute momentum value associated with the energy loss.

Figure 4.3.4.7| top | pdf |

Schematic drawing of a uniform magnetic sector spectrometer with induction B normal to the plane of the figure. Definition of the coordinates used in the text (the object plane at coordinate z₀ along the mean trajectory coincides with the specimen, and the image plane at z₁ coincides with the dispersion plane and the detector level).

Common properties of such systems are:

(a) first-order imaging properties or stigmatism, i.e. all electrons leaving are focused at the same point, independently of their inclination on the optical axis;
(b) strong chromatic aberration in order to realize an efficient discrimination between electrons of different ρ.

The spectrometer performance can be evaluated with the following parameters:

D = dispersion = beam displacement in the spectrometer image plane for a given momentum change ρ; it is generally expressed in cm/eV. The higher the dispersion, the easier it is to resolve small energy losses. For a straight-edge 90° magnetic sector, $[D\propto 2R/E_0]$ , where R is the curvature radius of the mean trajectory and is the primary energy.
$[\delta E_{\rm min}]$ = energy resolution. This corresponds to the minimum-energy variation that can be resolved by the instrument. It takes into account the width of the image $[\Delta x_{\rm image}=Mr]$ , where M is the spectrometer magnification and r the radius of the spectrometer source, as well as the second- and higher-order angular aberrations. These are responsible for the imperfect focusing of the electrons that enter the spectrometer within a cone of angular acceptance $[\beta_0]$ and contribute through a term $[\Delta x_{\rm aber}=C\beta^2_0]$ . Moreover, one must convolute these terms with the natural width $[\delta E_0]$ of the primary beam, including AC fields, and with the detection slit width $[\Delta x_{\rm slit}]$ . Combining all these effects, as shown schematically in Fig. 4.3.4.8 , one obtains approximately: $[\Delta x_{\rm tot}=[(\Delta x_{\rm slit})^2+(\Delta x_{\rm image})^2+(\Delta x_{\rm aber})^2+ D\delta E^2_0]^{1/2} \eqno (4.3.4.7)]$ and the corresponding energy resolution is defined as $[\delta E_{\min}=(\Delta x_{\rm tot})_{\min}/D]$ . In many situations, the dominant factor is the second-order aberration term $[C\beta^2_0]$ so that the figure of merit F, defined as $[F=\pi\beta_0 E_0/\delta E_{\rm min}]$ , is of the order of unity for an uncorrected magnetic spectrometer.

Figure 4.3.4.8| top | pdf |
Different factors contributing to the energy resolution in the dispersion plane [courtesy of Johnson (1979 )].

From this simplified discussion, one deduces that there is generally competition between large angular acceptance for the inelastic signal, which is very important for obtaining a high signal-to-noise ratio (SNR) for core-level excitations, and good energy resolution. Two solutions have been used to remedy this limitation. The first is to improve spectrometer design, for example by correcting second-order aberrations in a homogeneous magnetic prism (Crewe, 1977a ; Parker, Utlaut & Isaacson, 1978 ; Egerton, 1980b ; Krivanek & Swann, 1981 ; etc). This can enhance the figure of merit by at least a factor of 100. The second possibility is to transform the distribution of electrons to be analysed at the exit surface of the specimen into a more convenient distribution at the spectrometer entrance. This can be done by introducing versatile transfer optics (see Crewe, 1977b ; Egerton, 1980a ; Johnson, 1980 ; Craven & Buggy, 1981 ; etc.). As a final remark on the energy resolution of a spectrometer, it is meaningless to define it without reference to the size and the angular aperture of the analysed beam.

Historically, many types of spectrometer have been used since the first suggestion by Wien (1897 ) that an energy analyser could be designed by employing crossed electric and magnetic fields. Reviews have been published by Klemperer (1965 ), Metherell (1971 ), Pearce-Percy (1978 ), and Egerton (1986 ). Nowadays, two configurations are mostly used and have become commercially available on modern electron microscopes: these are spectrometers on TEM/STEM instruments and filters on CTEM ones. In the first case, homogeneous magnetic sectors are the simplest and most widely used devices. Recent instrumental developments by Shuman (1980 ), Krivanek & Swann (1981 ), and Scheinfein & Isaacson (1984 ) have given birth to a generation of spectrometers with the following major characteristics: double focusing, correction for second-order aberrations, dispersion plane perpendicular to the trajectory. This has been made possible by a suitable choice of several parameters, such as the tilt angles and the radius of curvature for the entrance and exit faces and the correct choice of the object source position. As an example, for a 100 keV STEM equipped with a field emission gun, the coupling illustrated in Fig. 4.3.4.9 leads to an energy resolution of 0.35 eV for β₀ = 7.5 mrad on the specimen as visible on the elastic peak, and 0.6 eV for α₀ = 25 mrad as checked on the fine structures on core losses. Krivanek, Manoubi & Colliex (1985 ) demonstrated a sub-eV energy resolution over the whole range of energy losses up to 1 or 2 keV.

Figure 4.3.4.9| top | pdf |

Optical coupling of a magnetic sector spectrometer on a STEM column.

A very competitive solution is the Wien filter, which consists of uniform electric and magnetic fields crossed perpendicularly, see Fig. 4.3.4.10 . An electron travelling along the axis with a velocity $[{\bf v}_0]$ such that $[|{\bf v}_0|=E/B]$ is not deflected, the net force on it being null. All electrons with different velocities, or at some angle with respect to the optical axis, are deflected. The dispersion of the system is greatly enhanced by decelerating the electrons to about 100 eV within the filter, in which case $[D\simeq]$ a few 100 µm/eV. A presently achievable energy resolution of 150 meV at a spectrometer collection half-angle of 12.5 mrad has been demonstrated by Batson (1986 , 1989 ). It allows the study of the detailed shape of the energy distribution of the electrons emitted from a field emission source and the taking of it into account in the investigation of band-gap states in semiconductors (Batson, 1987 ).

Figure 4.3.4.10| top | pdf |

Principle of the Wien filter used as an EELS spectrometer : the trajectories are shown in the two principal (dispersive and focusing) sections.

Filtering devices have been designed to form an energy-filtered image or diffraction pattern in a CTEM. The first solution, reproduced in Fig. 4.3.4.11 , is due to Castaing & Henry (1962 ). It consists of a double magnetic prism and a concave electrostatic mirror biased at the potential of the microscope cathode. The system possesses two pairs of stigmatic points that may coincide with a diffraction plane and an image plane of the electron-microscope column. One of these sets of points is achromatic and can be used for image filtering. The other is strongly chromatic and is used for spectrum analysis. Zanchi, Sevely & Jouffrey (1977 ) and Rose & Plies (1974 ) have proposed replacing this system, which requires an extra source of high voltage for the mirror, by a purely magnetic equivalent device. Several solutions, known as the α and $[\omega]$ filters, with three or four magnets, have thus been built, both on very high voltage microscopes (Zanchi, Perez & Sevely, 1975 ) and on more conventional ones (Krahl & Herrmann, 1980 ), the latest version now being available from one EM manufacturer (Zeiss EM S12).

Figure 4.3.4.11| top | pdf |

Principle of the Castaing & Henry filter made from a magnetic prism and an electrostatic mirror. (R₁, R₂, and R₃ are the real conjugate stigmatic points, and V₁, V₂, and V₃ the virtual ones: the dispersion plane coincides with the R₃ level and achromatic one with the V₃ level.)

4.3.4.2.3. Detection systems

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The final important component in EELS is the detector that measures the electron flux in the dispersion plane of the spectrometer and transfers it through a suitable interface to the data storage device for further computer processing. Until about 1990, all systems were operated in a sequential acquisition mode. The dispersed beam was scanned in front of a narrow slit located in the spectrometer dispersion plane. Electrons were then generally recorded by a combination of scintillator and photomultiplier capable of single electron counting.

This process is, however, highly inefficient: while the counts are measured in one channel, all information concerning the other channels is lost. These requirements for improved detection efficiency have led to the consideration of possible solutions for parallel detection of the EELS spectrum. They use a multiarray of detectors, the position, the size and the number of which have to be adapted to the spectral distribution delivered by the spectrometer. In most cases with magnetic type devices, auxiliary electron optics has to be introduced between the spectrometer and the detector so that the dispersion matches the size of the individual detection cells. Different systems have been proposed and tested for recording media, the most widely used solutions at present being the photodiode and the charge-coupled diode arrays described by Shuman & Kruit (1985 ), Krivanek, Ahn & Keeney (1987 ), Strauss, Naday, Sherman & Zaluzec (1987 ), Egerton & Crozier (1987 ), Berger & McMullan (1989 ), etc. Fig. 4.3.4.12 shows a device, now commercially available from Gatan, that is made of a convenient combination of these different components. This progress in detection has led to significant improvements in many areas of EELS: enhanced detection limits, reduced beam damage in sensitive materials, data of improved quality in terms of both SNR and resolution, and access to time-resolved spectroscopy at the ms time scale (chronospectra). Several of these important consequences are illustrated in the following sections.

Figure 4.3.4.12| top | pdf |

A commercial EELS spectrometer designed for parallel detection on a photodiode array. The family of quadrupoles controls the dispersion on the detector level [courtesy of Krivanek et al. (1987 )].

4.3.4.3. Excitation spectrum of valence electrons

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Most inelastic interaction of fast incident electrons is with outer atomic shells in atoms, or in solids with valence electrons (referred to as conduction electrons in metals). These involve excitations in the 0–50 eV range, but, in a few cases, interband transitions from low-binding-energy shells may also contribute.

4.3.4.3.1. Volume plasmons

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The basic concept introduced by the many-body theory in the interacting free electron gas is the volume plasmon. In a condensed material, the assembly of loosely bound electrons behaves as a plasma in which collective oscillations can be induced by a fast external charged particle. These eigenmodes, known as volume plasmons, are longitudinal charge-density fluctuations around the average bulk density in the plasma n $[\simeq]$ 10²⁸ e⁻/m³). Their eigen frequency is given, in the free electron gas, as $[\omega_p=\left({n\,e^2\over m\varepsilon_0}\right)^{1/2}. \eqno (4.3.4.8)]$ The corresponding $[\hbar\omega_p]$ energy, measured in an energy-loss spectrum (see the famous example of the plasmon in aluminium in Fig. 4.3.4.3 ), is the plasmon energy, for which typical values in a selection of pure solid elements are gathered in Table 4.3.4.2 . The accuracies of the measured values depend on several instrumental parameters. Moreover, they are sensitive to the specimen crystalline state and to its degree of purity. Consequently, there exist slight discrepancies between published values. Numbers listed in Table 4.3.4.2 must therefore be accepted with a 0.1 eV confidence. Some specific cases require comments: amorphous boron, when prepared by vacuum evaporation, is not a well defined specimen. Carbon exists in several allotropic varieties. The selection of the diamond type in the table is made for direct comparison with the other tetravalent specimens (Si, Ge, Sn). The results for lead (Pb) are still subject to confirmation. The volumic mass density is an important factor (through n) in governing the value of the plasmon energy. It varies with temperature and may be different in the crystal, in the amorphous, and in the liquid phases. In simple metals, the amorphous state is generally less dense than the crystalline one, so that its plasmon energy shifts to lower energies.

Table 4.3.4.2| top | pdf |
Plasmon energies measured (and calculated) for a few simple metals; most data have been extracted from Raether (1980 )

Monovalent			Divalent			Trivalent			Tetravalent
$[\hbar\omega_p]$ (eV)			$[\hbar\omega_p]$ (eV)			$[\hbar\omega_p]$ (eV)			$[\hbar\omega_p]$ (eV)
	Meas.	Calc.		Meas.	Calc.		Meas.	Calc.		Meas.	Calc.
Li	7.1	(8.0)	Be	18.7	(18.4)	B	22.7	(?)	C	34.0	(31)
Na	5.7	(5.9)	Mg	10.4	(10.9)	Al	14.95	(15.8)	Si	16.5	(16.6)
K	3.7	(4.3)	Ca	8.8	(8.0)	Ga	13.8	(14.5)	Ge	16.0	(15.6)
Rb	3.4	(3.9)	Sr	8.0	(7.0)	In	11.4	(12.5)	Sn	13.7	(14.3)
Cs	2.9	(3.4)	Ba	7.2	(6.7)	Sc	14.0	(12.9)	Pb	(13)	(13.5)

The above description applies only to very small scattering vectors q. In fact, the plasmon energy increases with scattering angle (and with momentum transfer $[\hbar{\bf q}]$ ). This dependence is known as the dispersion relation, in which two distinct behaviours can be described:

(a) For small momentum transfers $[(q\,\lesssim\, q_c)]$ , the dispersion curve is parabolic: $[\hbar\omega_p(q)=\hbar\omega_p(0)+{\alpha\hbar^2 \over m_0}q^2. \eqno (4.3.4.9)]$ The coefficient α has been measured in a number of substances and calculated for the free-electron case in the random phase approximation (Lindhard, 1954 ); see Table 4.3.4.3 for some data. A simple expression for α is $[\alpha=\textstyle{3\over5} \displaystyle{E_F \over\hbar \omega_p(0)}, \eqno (4.3.4.10)]$ where [E_F] is the Fermi energy of the electron gas. More detailed observations indicated that it is not possible to describe the dispersion curve over a large momentum range with a single [q^2] law. In fact, one has to fit the experiment data with different linear or quadratic slopes as a function of q [see values indicated for Al and In in Table 4.3.4.3 , and Höhberger, Otto & Petri (1975 )]. Moreover, anisotropy has been found along different q directions in monocrystals (Manzke, 1980 ). In parallel, refinements have been brought into the calculations by including band-structure effects to deal with the anisotropy of the dispersion relation and with the bending of the experimental curves. Electron–electron correlations have also been considered, which has slightly improved the agreement between calculated and measured values of α (Bross, 1978a ,b ).

Table 4.3.4.3| top | pdf |
Experimental and theoretical values for the coefficient α in the plasmon dispersion curve together with estimates of the cut-off wavevector (from Raether, 1980 )

	Measured α	Calculated α	(Å⁻¹)
Li	0.24	0.35	0.9
Na	0.24	0.32	0.8
K	0.14	0.29	0.8
Mg	0.35	0.39	1.0
Al	0.2 (< 0.5 Å⁻¹)
Al	0.45 (> 0.5 Å⁻¹)	0.43	1.3
In	0.40 (< 0.5 Å⁻¹)
In	0.66 (> 0.5 Å⁻¹)
Si	0.41
Si	0.3	0.45	1.1

(b) For large momentum transfers, there exists a critical wavevector [q_c] , which corresponds to a strong decay of the plasmon mode into single electron–hole pair excitations. This can be calculated using conservation rules in energy and momentum, giving $[\hbar\omega_p(0)+\alpha{\hbar^2\over m_0}\,q^2_c = {\hbar^2\over 2m_0}\,(q^2_c+2q_c q_F), \eqno (4.3.4.11)]$ where [q_F] is the Fermi wavevector. A simple approximation is $[q_c\simeq\omega_p/v_F]$ , [v_F] being the Fermi velocity. Single pair excitations can be created by fast incoming electrons in the domain of scattering conditions contained between the two curves: $[\left.\matrix{\Delta E_{\max}=\displaystyle{\hbar^2\over 2m_0} (q^2+2qq_F) \cr \Delta E_{\min}=\displaystyle{\hbar^2 \over 2m_0}\,(q^2 - 2qq_F)} \right\}\eqno(4.3.4.12)]$ shown in Fig. 4.3.4.13 . They bracket the curve $[\Delta E=\hbar^2q^2/2m_0]$ corresponding to the transfer of energy and momentum to an isolated free electron. For momentum transfers such as $[q\gt q_c]$ , the plasmon mode is heavily damped and it is difficult to distinguish its own specific behaviour from the electron–hole continuum. A few studies, e.g. Batson & Silcox (1983 ), indicate that the plasmon dispersion curve flattens as it enters the quasiparticle domain and approaches the centre of the continuum close to the free-electron curve. However, not only is the scatter between measurements fairly high, but a satisfactory theory is not yet available [see Schattschneider (1989 ) for a compilation of data on the subject].

Figure 4.3.4.13| top | pdf |

The dispersion curve for the excitation of a plasmon (curve 1) merges into the continuum of individual electron–hole excitations (between curves 2 and 4) for a critical wavevector q_c. The intermediate curve (3) corresponds to Compton scattering on a free electron.

Plasmon lifetime is inversely proportional to the energy width of the plasmon peak $[\Delta E_{1/2}]$ . Even for Al, with one of the smallest plasmon energy widths ( $[\simeq0.5]$ eV), the lifetime is very short: after about five oscillations, their amplitude is reduced to 1/e. Such a damping demonstrates the strength of the coupling of the collective modes with other processes. Several mechanisms compete for plasmon decay:

(a) For small momentum transfer, it is generally attributed to vertical interband transitions. Table 4.3.4.4 , extracted from Raether (1980 ), compares a few measured values of $[\Delta E_{1/2}(0)]$ , with values calculated using band-structure descriptions.

Table 4.3.4.4| top | pdf |
Comparison of measured and calculated values for the halfwidth ΔE_1/2(0) of the plasmon line (from Raether, 1980 )

	Experimental (eV)	Theory (eV)
Li	2.2	2.55
Na	0.3	0.12
K	0.25	0.15
Rb	0.6	0.64
Cs	1.2	0.96
Al	0.53	0.43
Mg	0.7	0.7
Si	3.2	5.4
Ge	3.1	3.9

(b) For moderate momentum transfer q, a variation law such as $[\Delta E_{1/2} (q) = \Delta E_{1/2}(0)+Bq^2+O(q^4) \eqno (4.3.4.13)]$ has been measured. The q dependence of $[\Delta E_{1/2}]$ is mainly accounted for by non-vertical transitions compatible with the band structure, the number of these transitions increasing with q (Sturm, 1982 ). Other mechanisms have also been suggested, such as phonons, umklapp processes, scattering on surfaces, etc.
(c) For large momentum transfer (i.e. of the order of the critical wavevector ), the collective modes decay into the strong electron–hole-pair channels already described giving rise to a clear increase of the damping for values of $[q\gt q_c]$ .

Within this free-electron-gas description, the differential cross section for the excitation of bulk plasmons by incident electrons of velocity v is given by $[{{\rm d} \sigma_p \over{\rm d} \Omega} (\theta) = {\Delta E_p \over2\pi Na_0 m_0 v^2}\ {1\over \theta^2+\theta^2_E}, \eqno (4.3.4.14)]$ where N is the density of atoms per volume unit and $[\theta_E]$ is the characteristic inelastic angle defined as $[\Delta E_p/2E_0]$ in the non-relativistic description and as $[\Delta E_p/\gamma m_0v^2]$ {with $[\gamma=[1-(v^{2}/c^{2})]^{-1/2}]$ } in the relativistic case. The angular dependence of the differential cross section for plasmon scattering is shown in Fig. 4.3.4.14 . The integral cross section up to an angle $[\beta_0]$ is $[\sigma_p(\beta_0)=\int\limits^{\beta_0}_0\,\left(\displaystyle{{\rm d}\sigma_p \over {\rm d}\Omega}\right){\rm d}\Omega= \,\displaystyle{\Delta E_p\log(\beta_0/\theta_E) \over Na_0 m_0 v^2}. \eqno (4.3.4.15)]$ The total plasmon cross section is calculated for $[\beta_0=\theta_c=q_c/k_0]$ . Converted into mean free path, this becomes $[\Lambda_p={1\over N\sigma_p} = {a_0\over \theta_E} \, \left(\log{\theta_c\over \theta_E}\right)^{-1} \quad \hbox {(non-relativistic formula)}\semi \eqno (4.3.4.16)]$ and $[\Lambda_p= \,{a_0\gamma m_0v^2 \over \Delta E_p}\, \left(\log{\hbar q_c v \over 1.132\,\hbar\omega_p}\right)^{-1} \quad \hbox{(relativistic formula)}. \eqno (4.3.4.17)]$

Figure 4.3.4.14| top | pdf |

Measured angular dependence of the differential cross section dσ/dΩ for the 15 eV plasmon loss in Al (dots) compared with a calculated curve by Ferrell (solid curve) and with a sharp cut-off approximation at θ_c (dashed curved). Also shown along the scattering angle axis, θ_E = characteristic inelastic angle defined as ΔE/2E₀, $[\tilde\theta]$ = median inelastic angle defined by $[\int^{\tilde\theta}_{0}({\rm d}\sigma/{\rm d}\Omega)\,{\rm d}\Omega=1/2\int^{\theta_{c}}_{0}({\rm d}\sigma/{\rm d}\Omega)\,{\rm d}\Omega]$ , and $[\bar\theta]$ = average inelastic angle defined by $[\bar\theta = \int {\theta}({\rm d}\sigma/{\rm d}\Omega)\,{\rm d}\Omega/\int({\rm d}\sigma/{\rm d}\Omega)\,{\rm d}\Omega]$ [courtesy of Egerton (1986 )].

The behaviour of $[\Lambda_p]$ as a function of the primary electron energy is shown in Fig. 4.3.4.15 .

Figure 4.3.4.15| top | pdf |

Variation of plasmon excitation mean free path Λ_p as a function of accelerating voltage V in the case of carbon and aluminium [courtesy of Sevely (1985 )].

4.3.4.3.2. Dielectric description

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The description of the bulk plasmon in the free-electron gas can be extended to any type of condensed material by introducing the dielectric response function $[\varepsilon({\bf q},\omega)]$ , which describes the frequency and wavevector-dependent polarizability of the medium; cf. Daniels et al. (1970 ). One associates, respectively, the $[\varepsilon_T]$ and $[\varepsilon_L]$ functions with the propagation of transverse and longitudinal EM modes through matter. In the small-q limit, these tend towards the same value: $[\lim_{q\rightarrow 0}\, \varepsilon_T({\bf q},\omega) = \lim_{q\rightarrow0}\, \varepsilon_L({\bf q},\omega) = \varepsilon(0,\omega).]$ As transverse dielectric functions are only used for wavevectors close to zero, the T and L indices can be omitted so that: $[\varepsilon_L({\bf q},\omega) = \varepsilon({\bf q},\omega)\quad \hbox{and}\quad \varepsilon_T({\bf q},\omega)=\varepsilon(0,\omega).]$ The transverse solution corresponds to the normal propagation of EM waves in a medium of dielectric coefficient $[\varepsilon(0,\omega)]$ , i.e. to $[{q^2c^2 \over \omega^2}- \varepsilon(0,\omega)=0. \eqno (4.3.4.18)]$ For longitudinal fields, the only solution is $[\varepsilon({\bf q},\omega)=0]$ , which is basically the dispersion relation for the bulk plasmon.

In the framework of the Maxwell description of wave propagation in matter, it has been shown by several authors [see, for instance, Ritchie (1957 )] that the transfer of energy between the beam electron and the electrons in the solid is governed by the magnitude of the energy-loss function $[-{\rm Im}[1/\varepsilon({\bf q}, \omega)]]$ , so that $[{{\rm d}^2\sigma \over {\rm d}(\Delta E)\,{\rm d}\Omega} = {1\over N(e\pi a_0)^2}\ {1 \over q^2}\,{\rm Im}\, \left(-{1\over \varepsilon({\bf q},\omega)}\right). \eqno (4.3.4.19)]$ One can deduce (4.3.4.14) by introducing a δ function at energy loss $[\omega_p]$ for the energy-loss function: $[{\rm Im}\left(-{1 \over \varepsilon({\bf q}, \omega)}\right) = {\pi \over 2}\,\omega_p\delta(\omega-\omega_p). \eqno (4.3.4.20)]$ As a consequence of the causality principle, a knowledge of the energy-loss function $[-{\rm Im}[1/\varepsilon(\omega)]]$ over the complete frequency (or energy-loss) range enables one to calculate $[{\rm Re}[1/\varepsilon(\omega)]]$ by Kramers–Kronig analysis: $[{\rm Re}{1\over \varepsilon(\omega)}=1-{2\over \pi}{\rm PP}\int\limits^\infty_0{\rm Im} \left(-\displaystyle{1\over \varepsilon(\omega')}\right) \displaystyle{\omega'\over \omega'^2-\omega^2}\,{\rm d}\omega', \eqno (4.3.4.21)]$ where PP denotes the principal part of the integral. For details of efficient practical evaluation of the above equation, see Johnson (1975 ).

The dielectric functions can be easily calculated for simple descriptions of the electron gas. In the Drude model , i.e. for a free-electron plasma with a relaxation time τ, the dielectric function at long wavelengths $[(q\rightarrow0)]$ is $[\varepsilon(\omega)=\varepsilon_1(\omega) + i \varepsilon_2(\omega)=1-{\omega^2_p\over \omega^2} {1\over (1-{1/i\omega\tau})}, \eqno (4.3.4.22)]$ with $[\omega^2_p=ne^2/m\varepsilon_0]$ , as above. The behaviour of the different functions, the real and imaginary terms in $[\varepsilon]$ , and the energy-loss function are shown in Fig. 4.3.4.16 . The energy-loss term exhibits a sharp Lorentzian profile centred at $[\omega=\omega_p]$ and of width 1/τ. The narrower and more intense this plasmon peak, the more the involved valence electrons behave like free electrons.

Figure 4.3.4.16| top | pdf |

Dielectric and optical functions calculated in the Drude model of a free-electron gas with ħω_p = 16 eV and τ = 1.64 × 10⁻¹⁶ s. R is the optical reflection coefficient in normal incidence, i.e. R = [(n − 1)² + k²]/(n + 1)² + k²] with n and k the real and imaginary parts of $[\sqrt{\epsilon}]$ . The effective numbers $[n_{\rm eff}(\varepsilon_{2})]$ and $[n_{\rm eff}[{\rm Im}(-1/\varepsilon)]]$ are defined in Subsection 4.3.4.5 [courtesy of Daniels et al. (1970 )].

In the Lorentz model , i.e. for a gas of bound electrons with one or several excitation eigenfrequencies $[\omega_i]$ , the dielectric function is $[\varepsilon(\omega)=1+\sum_i \displaystyle{n_i e^2\over m\varepsilon_0}\ {\displaystyle{1\over \omega^2_i-\omega^2+i\omega/\tau_i}}, \eqno (4.3.4.23)]$ where [n_i] denotes the density of electrons oscillating with the frequency $[\omega_i]$ and $[\tau_i]$ is the associated relaxation time. The characteristic $[\varepsilon_1]$ , $[\varepsilon_2]$ , and $[-{\rm Im}(1/\varepsilon)]$ behaviours are displayed in Fig. 4.3.4.17 : a typical `interband' transition (in solid-state terminology) can be revealed as a maximum in the $[\varepsilon_2]$ function, simultaneous with a `plasmon' mode associated with a maximum in the energy-loss function and slightly shifted to higher energies with respect to the annulation conditions of the $[\varepsilon_1]$ function.

Figure 4.3.4.17| top | pdf |

Same as previous figure, but for a Lorentz model with an oscillator of eigenfrequency ħω₀ = 10 eV and relaxation time τ₀ = 6.6 × 10⁻¹⁶ s superposed on the free-electron term [courtesy of Daniels et al. (1970 )].

In most practical situations, there coexist a family of [n_f] free electrons (with plasma frequency $[\omega^2_p=n{_f}e^2/m\varepsilon_0)]$ and one or several families of [n_i] bound electrons (with eigenfrequencies $[\omega_i)]$ . The influence of bound electrons is to shift the plasma frequency towards lower values if $[\omega_i\gt\omega_p]$ and to higher values if $[\omega_i\lt\omega_p]$ . As a special case, in an insulator, [n_f=0] and all the electrons [(n_i=n)] have a binding energy at least equal to the band gap $[E_g\simeq\hbar\omega_i]$ , giving $[\omega^2_p=(E_g/\hbar){^2}+ne^2/m\varepsilon_0]$ .

This description constitutes a satisfactory first step into the world of real solids with a complex system of valence and conduction bands between which there is a strong transition rate of individual electrons under the influence of photon or electron beams. In optical spectroscopy, for instance, this transition rate, which governs the absorption coefficient, can be deduced from the calculation of the factor $[\varepsilon_2]$ as $[\varepsilon_2(\omega)={A\over \omega^2}|M_{jj'}|^2J_{jj'}(\omega), \eqno (4.3.4.24)]$ where $[M_{jj'}]$ is the matrix element for the transition from the occupied level j in the valence band to the unoccupied level [j'] in the conduction band, both with the same k value (which means for a vertical transition). $[J_{jj'}(\omega)]$ is the joint density of states (JDOS) with the energy difference $[\hbar\omega]$ . This formula is also valid for small-angle-scattering electron inelastic processes. When parabolic bands are used to represent, respectively, the upper part of the valence band and the lower part of the conduction band in a semiconductor, the dominant JDOS term close to the onset of the interband transitions takes the form $[{\rm JDOS}\propto(E-E_g)^{1/2}, \eqno (4.3.4.25)]$ where [E_g] is the band-gap energy. This concept has been successfully used by Batson (1987 ) for the detection of gap energy variations between the bulk and the vicinity of a single misfit dislocation in a GaAs specimen. The case of non-vertical transitions involving integration over k-space has also been considered (Fink et al., 1984 ; Fink & Leising, 1986 ).

4.3.4.3.3. Real solids

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The dielectric constants of many solids have been deduced from a number of methods involving either primary photon or electron beams. In optical measurements, one obtains the values of $[\varepsilon_1]$ and $[\varepsilon_2]$ from a Krakers–Kronig analysis of the optical absorption and reflection curves, while in electron energy-loss measurements they are deduced from Kramers–Kronig analysis of energy-loss functions.

Fig. 4.3.4.18 shows typical behaviours of the dielectric and energy-loss functions.

(a) For a free-electron metal (Al), the Drude model is a satisfactory description with a well defined narrow and intense maximum of $[{\rm Im}(-1/\varepsilon)]$ corresponding to the collective plasmon excitation together with typical conditions $[\varepsilon_1\simeq\varepsilon_2\simeq 0]$ for this energy $[\hbar\omega_p]$ . One also notices a weak interband transition below 2 eV.

Figure 4.3.4.18| top | pdf |

Dielectric coefficients $[\varepsilon_1]$ , $[\varepsilon_2]$ and $[{\rm Im}(-1/\varepsilon)]$ from a collection of typical real solids: (a) aluminium [courtesy of Raether (1965 )]; (b) gold [courtesy of Wehenkel (1975 )]; (c) InSb [courtesy of Zimmermann (1976 )]; (d) solid xenon at ca 5 K [courtesy of Keil (1968 )].

(b) For transition and noble metals (such as Au), the results strongly deviate from the free-electron gas function as a consequence of intense interband transitions originating mostly from the partially or fully filled d band lying in the vicinity of, or just below, the Fermi level. There is no clear condition for satisfying the criterion of plasma excitation $[(\varepsilon=0)]$ so that the collective modes are strongly damped. However, the higher-lying peak is more generally of a collective nature because it coincides with the exhaustion of all oscillator strengths for interband transitions.
(c) Similar arguments can be developed for a semiconductor (InSb) or an insulator (Xe solid). In the first case, one detects a few interband transitions at small energies that do not prevent the occurrence of a pronounced volume plasmon peak rather similar to the free-electron case. The difference between the gap and the plasma energy is so great that the valence electrons behave collectively as an assembly of free particles. In contrast, for wide gap insulators (alkali halides, oxides, solid rare gases), a number of peaks are seen, owing to different interband transitions and exciton peaks. Excitons are quasi-particles consisting of a conduction-band electron and a valence-band hole bound to each other by Coloumb interaction. One observes the existence of a band gap [no excitation either in $[\varepsilon_2]$ or in $[{\rm Im}(-1/\varepsilon)]$ below a given critical value ] and again the higher-lying peak is generally of a rather collective nature.

Čerenkov radiation is emitted when the velocity v of an electron travelling through a medium exceeds the speed of light for a particular frequency in this medium. The criterion for Čerenkov emission is $[\varepsilon_1(\omega)\gt {c^2\over v^2}=\beta^{-2}. \eqno (4.3.4.26)]$

In an insulator, $[\varepsilon_1]$ is positive at low energies and can considerably exceed unity, so that a `radiation peak' can be detected in the corresponding energy-loss range (between 2 and 4 eV in Si, Ge, III–V compounds, diamond, $[\ldots]$ ); see Von Festenberg (1968 ), Kröger (1970 ), and Chen & Silcox (1971 ). The associated scattering angle, $[\theta\simeq\lambda_{\rm el}/\lambda_{\rm ph}\simeq10^{-5}\,{\rm rad}]$ for high-energy electrons, is very small and this contribution can only be detected using a limited forward-scattering angular acceptance.

In an anisotropic crystal, the dielectric function has the character of a tensor, so that the energy-loss function is expressed as $[{\rm Im}\left(-{1 \over \sum\limits_i\sum\limits_j \varepsilon_{ij} q_i q_j}\right) . \eqno (4.3.4.27)]$

If it is transformed to its orthogonal principal axes $[(\varepsilon_{11}, \varepsilon_{22}, \varepsilon_{33})]$ , and if the q components in this system are [q_1,q_2,q_3] , the above expression simplifies to $[{\rm Im}\left(-{1 \over \sum\limits_i \varepsilon_{ii} q^2_i}\right) . \eqno (4.3.4.28)]$

In a uniaxial crystal, such as a graphite, $[\varepsilon_{11}=\varepsilon_{22}=\varepsilon_\perp]$ and $[\varepsilon_{33}=\varepsilon_\|]$ (i.e. parallel to the c axis): $[\varepsilon({\bf q}, \omega)=\varepsilon_\perp\sin^2\theta+\varepsilon_\|\cos^2\theta, \eqno (4.3.4.29)]$ where $[\theta]$ is the angle between q and the c axis. The spectrum depends on the direction of q, either parallel or perpendicular to the c axis, as shown in Fig. 4.3.4.19 from Venghaus (1975 ). These experimental conditions may be achieved by tilting the graphite layer at 45° with respect to the incident axis, and recording spectra in two directions at $[\pm\theta_E]$ with respect to it (see Fig. 4.3.4.20 ).

Figure 4.3.4.19| top | pdf |

Dielectric functions in graphite derived from energy losses for E ⊥ c (i.e. the electric field vector being in the layer plane) and for E||c [from Daniels et al. (1970 )]. The dashed line represents data extracted from optical reflectivity measurements [from Taft & Philipp (1965 )].

Figure 4.3.4.20| top | pdf |

Geometric conditions for investigating the anisotropic energy-loss function.

4.3.4.3.4. Surface plasmons

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Volume plasmons are longitudinal waves of charge density propagating through the bulk of the solid. Similarly, three exist longitudinal waves of charge density travelling along the surface between two media A and B (one may be a vacuum): these are the surface plasmons (Kliewer & Fuchs, 1974 ). Boundary conditions imply that $[\varepsilon_A(\omega)+\varepsilon_B(\omega)=0. \eqno (4.3.4.30)]$ The corresponding charge-density fluctuation is contained within the (x) boundary plane, z being normal to the surface: $[\rho({\bf x}, z)\simeq\cos({\bf q}\cdot{\bf x}-\omega t)\delta(z), \eqno (4.3.4.31)]$ and the associated electrostatic potential oscillates in space and time as $[\varphi({\bf x},z)\,\alpha\cos({\bf q}\cdot{\bf x}-\omega t)\exp(-q|z|). \eqno (4.3.4.32)]$ The characteristic energy $[\omega_s]$ of this surface mode is estimated in the free electron case as:

In the planar interface case: $[\left.\matrix{\omega_s = \displaystyle{\omega_p\over \sqrt 2}\hfill \cr \quad\raise2ex\hbox{(interface metal--vacuum)\semi}\hfill \cr \omega_s = \displaystyle{\omega_p \over (1+\varepsilon_d)^{1/2}}\hfill \cr \quad\hbox{(interface metal--dielectric of constant}\,\, \varepsilon_d); \hfill\cr \omega_s =\displaystyle\left({\omega^2_{p_A}\,+\,\omega^2_{p_B} \over2}\right)^{1/2}\hfill \cr \quad\raise2ex\hbox{(interface metal {\it A}--metal {\it B}).}\hfill} \right\} \eqno (4.3.4.33)]$

In the spherical interface case: $[(\omega_s)_l= {\omega_p\over[(2l+1)/l]^{1/2}} \eqno(4.3.4.34a)]$ (metal sphere in vacuum – the modes are now quantified following the l quantum number in spherical geometry); $[(\omega_s)_l={\omega_p\over [(2l+1)/(l+1)]^{1/2}} \eqno (4.3.4.34b)]$ (spherical void within metal).

Thin-film geometry: $[(\omega_s)^\pm={\omega_p\left[{1\pm\exp(-qt) \over 1+\varepsilon_d}\right]^{1/2}} \eqno (4.3.4.35)]$ (metal layer of thickness t embedded in dielectric films of constant $[\varepsilon_d]$ ). The two solutions result from the coupling of the oscillations on the two surfaces, the electric field being symmetric for the $[(\omega_s)^-]$ mode and antisymmetric for the $[(\omega_s)^+]$ .

In a real solid, the surface plasmon modes are determined by the roots of the equation $[\varepsilon(\omega_s)=-1]$ for vacuum coating [or $[\varepsilon(\omega_s)=-\varepsilon_d]$ for dielectric coating].

The probability of surface-loss excitation [P_s] is mostly governed by the $[{\rm Im}\{-1/[1+\varepsilon(\omega)]\}]$ energy-loss function, which is analogous for surface modes to the bulk $[{\rm Im}\{-1/[\varepsilon(\omega)]\}]$ energy-loss function. In normal incidence, the differential scattering cross section $[{\rm d}P_s/\!{\rm d}\Omega]$ is zero in the forward direction, reaches a maximum for $[\theta=\pm\theta_E/3^{1/2}]$ , and decreases as $[\theta^{-3}]$ at large angles. In non-normal incidence, the angular distribution is asymmetrical, goes through a zero value for momentum transfer $[\hbar{\bf q}]$ in a direction perpendicular to the interface, and the total probability increases as $[P_s(\varphi)=\,{P_s(O)\over\cos\varphi}, \eqno (4.3.4.36)]$ where $[\varphi]$ is the incidence angle between the primary beam and the normal to the surface. As a consequence, the probability of producing one (and several) surface losses increases rapidly for grazing incidences.

4.3.4.4. Excitation spectrum of core electrons

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4.3.4.4.1. Definition and classification of core edges

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As for any core-electron spectroscopy, EELS spectroscopy at higher energy losses mostly deals with the excitation of well defined atomic electrons. When considering solid specimens, both initial and final states in the transition are actually eigenstates in the solid state. However, the initial wavefunction can be considered as purely atomic for core excitations. As a first consequence, one can classify these transitions as a function of the parameters of atomic physics: Z is the atomic number of the element; n, l, and j = l + s are the quantum numbers describing the subshells from which the electron has been excited. The spectroscopy notation used is shown in Fig. 4.3.4.21 . The list of major transitions is displayed as a function of Z and [E_c] in Fig. 4.3.4.22 .

Figure 4.3.4.21| top | pdf |

Definition of electron shells and transitions involved in core-loss spectroscopy [from Ahn & Krivanek (1982 )].

Figure 4.3.4.22| top | pdf |

Chart of edges encountered in the 50 eV up to 3 keV energy-loss range with symbols identifying the types of shapes [see Ahn & Krivanek (1982 ) for further comments].

Core excitations appear as edges superimposed, from the threshold energy [E_c] upwards, above a regularly decreasing background. As explained below, the basic matrix element governing the probability of transition is similar for optical absorption spectroscopy and for small-angle-scattering EELS spectroscopy . Consequently, selection rules for dipole transitions define the dominant transitions to be observed, i.e. $[l'-l=\Delta l=\pm 1\quad {\rm and}\quad j'-j=\Delta j=0,\pm1. \eqno (4.3.4.37)]$ This major rule has important consequences for the edge shapes to be observed: approximate behaviours are also shown in Fig. 4.3.4.22 . A very useful library of core edges can be found in the EELS atlas (Ahn & Krivanek, 1982 ), from which we have selected the family of edges gathered in Fig. 4.3.4.23 . They display the following typical profiles:

(i) K edges for low-Z elements $[(3\le Z\le 14)]$ . The carbon K edge occurring at 284 eV is a nice example with a clear hydrogenic or saw-tooth profile and fine structures on threshold depending on the local environment (amorphous, graphite, diamond, organic molecules, $[\ldots]$ ); see Isaacson (1972a ,b ).

Figure 4.3.4.23| top | pdf |

A selection of typical profiles (K, L_2,3, M_4,5, and N_2,3) illustrating the most important behaviours encountered on major edges through the Periodic Table. A few edges are displayed prior to and others after background stripping. [Data extracted from Ahn & Krivanek (1982 ).]

(ii) $[L_{\it 2,3}]$ edges for medium-Z elements $[(11\,\lesssim\, Z\,\lesssim\,45)]$ . The $[L_{2,3}]$ edges exhibit different shapes when the outer occupied shell changes in nature: a delayed profile is observed as long as the first vacant d states are located, along the energy scale, rather above the Fermi level (sulfur case). When these d states coincide with the first accessible levels, sharp peaks, generally known as `white lines', appear at threshold (this is the case for transition elements with the Fermi level inside the d band). These lines are generally split by the spin-orbit term on the initial level into $[2p^{3/2}]$ and $[2p^{1/2}]$ (or and ) terms. For higher-Z elements, the bound d levels are fully occupied, and no longer contribute as host orbitals for the excited 2p electrons. One finds again a more traditional hydrogenic profile (such as for the germanium case ).
(iii) $[M_{\it 4,5}]$ edges for heavier-Z elements $[(37\,\lesssim\, Z\, \lesssim\,83)]$ . A sequence of $[M_{4,5}]$ edge profiles, rather similar to $[L_{2,3}]$ edges, is observed, the difference being that one then investigates the density of the final f states. White lines can also be detected when the f levels lie in the neighbourhood of the Fermi level, e.g. for rare-earth elements.

The deeper accessible signals, for incident electrons in the range of 100–400 kV primary voltage, lie between 2500 and 3000 eV, which corresponds roughly to the middle of the second row of transition elements (Mo–Ru) for the $[L_{2,3}]$ edge and to the very heavy metals (Pb–Bi) for the $[M_{4,5}]$ edge.
(iv) A final example in Fig. 4.3.4.23 concerns one of these resonant peaks associated with the excitation of levels just below the conduction band. These are features with high intensity of the same order or even superior to that of plasmons of conduction band electrons previously described in Subsection 4.3.4.3 . It occurs with the $[M_{2,3}]$ level for the first transition series, with the $[N_{2,3}]$ level for the second series (for example, strontium in Fig. 4.3.4.23 ) or with the $[O_{2,3}]$ level for the third series, including the rare-earth elements. The shape varies gradually from a plasmon-like peak with a short lifetime to an asymmetric Fano-type profile, a consequence of the coupling between discrete and continuum final states of the same energy (Fano, 1961 ).

4.3.4.4.2. Bethe theory for inelastic scattering by an isolated atom (Bethe, 1930 ; Inokuti, 1971 ; Inokuti, Itikawa & Turner, 1978 , 1979 )

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As a consequence of the atomic nature of the excited wavefunction in core-loss spectroscopy, the first step involves deriving a useful theoretical expression for inelastic scattering by an isolated atom. The differential cross section for an electron of wavevector k to be scattered into a final plane wave of vector k′, while promoting one atomic electron from $[\psi_0]$ to $[\psi_n]$ , is given in a one-electron excitation description by $[{{\rm d} \sigma_n \over {\rm d}\Omega\,{\rm d}(\Delta E)}=\left({m_0\over 2\pi\hbar^2}\right)^2\ {k'\over k}|\langle\psi_n{\bf k}'|V({\bf r})|\psi_0{\bf k}\rangle|^2; \eqno (4.3.4.38)]$ see, for instance, Landau & Lifchitz (1966 ) and Mott & Massey (1952 ). The potential V(r) corresponds to the Coulomb interaction with all charges (both in the nucleus and in the electron cloud) of the atom. The momentum change in the scattering event is $[\hbar{\bf q}=\hbar({\bf k}-{\bf k}')]$ . The final-state wavefunction is normalized per unit energy range. The orthogonality between initial- and final-state wavefunctions restricts the inelastic scattering to the only interactions with atomic electrons: $[{{\rm d}\sigma_n\over {\rm d}\Omega\,{\rm d}(\Delta E)} = {4\gamma^2 \over a^2_0q^4}\,{k'\over k}\,| {\scr E}_n({\bf q},\Delta E)|^2. \eqno (4.3.4.39)]$

The first part of the above expression has the form of Rutherford scattering. γ is introduced to deal, to a first approximation, with relativistic effects. The ratio k′/k is generally assumed to be equal to unity. This kinematic scattering factor is modified by the second term, or matrix element, which describes the response of the atomic electrons: $[{\scr E}_n({\bf q}, \Delta E)=\bigg\langle\psi_n\bigg|\textstyle\sum\limits_j\exp (i{\bf q}\cdot{\bf r}_j)\bigg|\psi_0\bigg\rangle, \eqno (4.3.4.40)]$ where the sum extends over all atomic electrons at positions $[{\bf r}_j]$ . The dimensionless quantity is known as the inelastic form factor.

For a more direct comparison with photoabsorption measurements, one introduces the generalized oscillator strength (GOS) as $[{{\rm d} f({\bf q},\Delta E)\over{\rm d}(\Delta E)}={\Delta E\over R}\ {|{\scr E}_n({\bf q}, \Delta E)|^2\over (qa_0)^2} \eqno (4.3.4.41)]$ for transitions towards final states $[\psi_\varepsilon]$ in the continuum [ΔE is then the energy difference between the core level and the final state of kinetic energy $[\varepsilon]$ above the Fermi level, scaled in energy to the Rydberg energy (R)]. Also, $[f_n({\bf q}) = {E_n\over R}\ {|{\scr E}_n({\bf q})|^2 \over (qa_0)^2} \eqno (4.3.4.42)]$ for transition towards bound states. In this case, [E_n] is the energy difference between the two states involved.

The generalized oscillator strength is a function of both the energy ΔE and the momentum $[\hbar{\bf q}]$ transferred to the atom. It is displayed as a three-dimensional surface known as the Bethe surface (Fig. 4.3.4.24 ), which embodies all information concerning the inelastic scattering of charged particles by atoms. The angular dependence of the cross section is proportional to $[{1\over q^2}\ {{\rm d} f({\bf q}, \Delta E)\over {\rm d}(\Delta E)}]$ at a given energy loss ΔE.

Figure 4.3.4.24| top | pdf |

Bethe surface for K-shell ionization, calculated using a hydrogenic model. The generalized oscillator strength is zero for energy loss E below the threshold E_K. The horizontal coordinate is related to scattering angle through q [from Egerton (1979 )].

In the small-angle limit $[(qr_c\ll1]$ , where [r_c] is the average radius of the initial orbital), the GOS reduces to the optical oscillator strength $[{{\rm d} f({\bf q},\Delta E)\over {\rm d}(\Delta E)} \,\rightarrow{{\rm d} f(0,\Delta E)\over {\rm d}(\Delta E)}]$ and $[{\scr E}_n({\bf q}, \Delta E) \rightarrow {\scr E}_n(0,\Delta E) = q^2\bigg|\bigg\langle\psi_n\bigg|\textstyle\sum\limits_j{\bf u}\cdot {\bf r}_j\bigg|\psi_0\bigg\rangle\bigg|^2, \eqno (4.3.4.43)]$ where u is the unit vector in the q direction. When one is concerned with a given orbital excitation, the sum over $[{\bf r}_j]$ reduces to a single term r for this electron. With some elementary calculations, the resulting cross section is $[{{\rm d}^2\sigma\over {\rm d}\Omega\,{\rm d}(\Delta E)} = {4\gamma^2 R \over \Delta E\, k^2}\, {1\over \theta^2+\theta^2_E}\, {{\rm d} f(0,\Delta E) \over {\rm d}(\Delta E)}. \eqno (4.3.4.44)]$

The major angular dependence is contained, as in the low-loss domain, in the Lorentzian factor $[(\theta^2+\theta^2_E)^{-1}]$ , with the characteristic inelastic angle $[\theta_E]$ being again equal to $[\Delta E/\gamma m_0v^2]$ . Over this reduced scattering-angle domain, known as the dipole region, the GOS is approximately constant and the inner-shell EELS spectrum is directly proportional to the photoabsorption cross section $[\sigma_{\rm opt}]$ , whose data can be used to test the results of single-atom calculations. For larger scattering angles, Fig. 4.3.4.24 exhibits two distinct behaviours for energy losses just above the edge (df/dΔE drops regularly to zero), and for energy losses much greater than the core-edge threshold. In the latter case, the oscillator strength is mostly concentrated in the Bethe ridge, the maximum of which occurs for: $[\left. {\eqalign{ (qa_0)^2 &= {\Delta E\over R}\quad\hbox{(non-relativistic formula),} \cr(qa_0)^2 &= {\Delta E\over R\,}{(\Delta E)^2 \over 2m_0c^2R}\quad \hbox{(relativistic formula)}.}} \right\} \eqno (4.3.4.45)]$

This contribution at large scattering angles is equivalent to direct knock-on collisions of free electrons, i.e. to the curve $[\Delta E=\hbar^2q^2/2m_0]$ lying in the middle of the valence-electron–hole excitations continuum (see Fig. 4.3.4.13 ). The non-zero width of the Bethe ridge can be used as an electron Compton profile to analyse the momentum distribution of the atomic electrons [see also §4.3.4.4.4(c)].

The energy dependence of the cross section, responsible for the various edge shapes discussed in §4.3.4.4.1 , is governed by $[{1\over \Delta E}\ {{\rm d} f({\bf q}, \Delta E)\over {\rm d}(\Delta E)},]$ i.e. it corresponds to sections through the Bethe surface at constant q. Within the general theory described above, various models have been developed for practical calculations of energy differential cross sections.

The hydrogenic model due to Egerton (1979 ) is an extension of the quantum-mechanical calculations for a hydrogen atom to inner-shell electron excitations in an atom Z by introduction of some useful parametrization (effective nuclear charge, effective threshold energy). It is applied in practice for K and $[L_{2,3}]$ shells.

In the Hartree–Slater (or Dirac–Slater) description, one calculates the final continuum-state wavefunction in a self-consistent central field atomic potential (Leapman, Rez & Mayers, 1980 ; Rez, 1989 ). The radial dependence of these wavefunctions is given by the solution of a Schrödinger equation with an effective potential: $[V_{\rm eff}(r)=V(r)+{l'(l'+1)\,\hbar^2\over 2m_0r^2}, \eqno (4.3.4.46)]$ where $[[l'(l'+1)\hbar^2]/2m_0r^2]$ is the centrifugal potential, which is important for explaining the occurrence of delayed maxima in spectra involving final states of higher [l'] . This approach is now useful for any major $[K, L_{2,3}, M_{4,5}, \ldots]$ edge, as illustrated by Ahn & Rez (1985 ) and more specifically in rare-earth elements by Manoubi, Rez & Colliex (1989 ).

These differential cross sections can be integrated over the relevant angular and energy domains to provide data comparable with experimental measurements. In practice, one records the energy spectral distribution of electrons scattered into all angles up to the acceptance value β of the collection aperture. The integration has therefore to be made from $[q_{\rm min}\simeq k\theta_E]$ for the zero scattering-angle limit, up to $[q_{\rm max}\simeq k\beta]$ . Fig. 4.3.4.25 shows how such calculated profiles can be used for fitting experimental data.

Figure 4.3.4.25| top | pdf |

A novel technique for simulating an energy-loss spectrum with two distinct edges as a superposition of theoretical contributions (hydrogenic saw-tooth for O K, Lorentzian white lines and delayed continuum for Fe L_2,3 calculated with the Hartree–Slater description). The best fit between the experimental and the simulated spectra is shown; it can be used to evaluate the relative concentration of the two elements [see Manoubi et al. (1990 )].

Setting β = π [or equal to an effective upper limit $[\theta_{\rm max}\simeq(\Delta E/E_0)^{1/2}]$ corresponding to the criterion $[q_{\rm max} r\simeq1]]$ , the integral cross section is the total cross section for the excitation of a given core level. These ionization cross sections are required for quantification in all analytical techniques using core-level excitations and de-excitations, such as EELS, Auger electron spectroscopy, and X-ray microanalysis (see Powell, 1976 , 1984 ). A convenient way of comparing total cross sections is to rewrite the Bethe asymptotic cross section as $[\sigma_{nl} E^2_{nl}=6.51\times10^{-14}\,Z_{nl} b_{nl}{\log(C_{nl}U_{nl}) \over U_{nl}}, \eqno (4.3.4.47)]$ when the result is given in cm², $[\sigma_{nl}]$ is the total cross section per atom or molecule or ionization of the nl subshell with edge energy $[E_{nl}]$ , $[Z_{nl}]$ is the number of electrons on the nl level, and $[U_{nl}]$ is the overvoltage defined as $[E_0/E_{nl}]$ . $[b_{nl}]$ and $[c_{nl}]$ are two parameters representing phenomenologically the average number of electrons involved in the excitation and their average energy loss (one finds for the major K and $[L_{2,3}]$ edges $[b_{nl}\simeq ]$ 0.6–0.9 and $[c_{nl}\simeq]$ 0.5–0.7). These values are in practice estimated from plots of curves $[\sigma_{nl}E^2_{nl}U_{nl}]$ as a function of $[\log U_{nl}]$ , known as Fano plots. From least-squares fits to linear regions, one can evaluate the values of $[b_{nl}]$ (slope of the curves) and of $[\log c_{nl}]$ (coordinate at the origin) for various elements and shells. However, it has been shown more recently (Powell, 1989 ) that the interpretation of Fano plots is not always simple, since they typically display two linear regions. It is only in the linear region for the higher incident energies that the plots show the asymptotic Bethe dependence with the slope directly related to the optical data. At lower incident energies, another linear region is found with a slope typically 10–20% greater. Despite great progress over the last two decades, more cross-section data, either theoretical or experimental, are still required to improve to the 1% level the accuracy in all techniques using these signals.

4.3.4.4.3. Solid-state effects

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The characteristic core edges recorded from solid specimens display complex structures different from those described in atomic terms. Moreover, their detailed spectral distributions depend on the type of compound in which the element is present (Leapman, Grunes & Fejes, 1982 ; Grunes, Leapman, Wilker, Hoffmann & Kunz, 1982 ; Colliex, Manoubi, Gasgnier & Brown, 1985 ). Modifications induced by the local solid-state environment concern (see Fig. 4.3.4.26 ) the following:

(a) The threshold (or edge itself), which may vary in position, slope, and associated fine structures. From photoelectron spectroscopies (UPS, XPS), an edge displacement along the energy scale is known as a `chemical shift': it is due to a shift in the energy of the initial level as a consequence of the atomic potential modifications induced by valence-electron charge transfer (e.g. from metal to oxide). EELS is actually a two-level spectroscopy and the observed changes at edge onset concern both initial and final states. Consequently, measured shifts are due to a combination of core-level energy shift with bandgap and exciton creation. Some important shifts have been measured in EELS such as:

– carbon K: 284 to 288 eV from graphite to diamond;

Figure 4.3.4.26| top | pdf |
Definition of the different fine structures visible on a core-loss edge.
– aluminium $[L_{2,3}]$ : 73 to 77 eV from metal to Al₂O₃;
– silicon $[L_{2,3}]$ : 99.5 to 106 eV from Si to SiO₂.

However, `chemical shift' constitutes a simplified description of the more complex changes that may occur at a given threshold in various compounds. It assumes a rigid translation of the edge, but in most cases the onset changes in shape and there are no simple features to correlate through the different spectra. This remark is more relevant with the increased energy resolution that is now available. With a sub-eV value, extra peaks or splittings can frequently be detected on edges that exhibit simple shapes when recorded at lower resolution. Among others, the $[L_{32}]$ white lines in transition metals show different behaviours when involved in various environments:

– crystal-field-induced splitting for each line in the oxides Sc₂O₃, TiO₂ when compared with the metal (see Fig. 4.3.4.27 ).

Figure 4.3.4.27| top | pdf |

High-energy resolution spectra on the L_2,3 titanium edge from two phases (rutile and anatase) of TiO₂. Each atomic line L₃ and L₂ is split into two components A and B by crystal-field effects. The new level of splitting B₁B₂ that distinguishes the two spectra is not yet understood. In Ti metal, the L₃ and L₂ lines are not split by structural effects [courtesy of Brydson et al. (1989 )].

– relative change in intensity ratio between different ionic species [most important when the occupancy degree n for the d band is of the order of 5, i.e. around the middle of the transition series, e.g. Mn and Fe oxides; see for instance, Rask, Miner & Buseck (1987 ) and Rao, Thomas, Williams & Sparrow (1984 )].

– presence of a narrow white line instead of a hydrogenic profile when the electron transfer from the metal to its ligand induces the existence of vacant d states at the Fermi level (CuO compared with Cu, see Fig. 4.3.4.28 ).

Figure 4.3.4.28| top | pdf |

The dramatic change in near-edge fine structures on the L₃ and L₂ lines of Cu, from Cu metal to CuO. The appearance of the intense narrow white lines is due to the existence of vacant d states close to the Fermi level [courtesy of Leapman et al. (1982 )].

(b) The near-edge fine structures (ELNES ), which extend over the first 20 or 30 eV above threshold (Taftø & Zhu, 1982 ; Colliex et al., 1985 ). These are very similar to XANES structures in X-ray photoabsorption spectroscopy: they mostly reflect the spectral distribution of vacant accessible levels and are consequently very sensitive to site symmetry and charge transfer. Several approaches have been proposed to interpret them. A molecular-orbital description [e.g. Fischer (1970 ) or Tossell, Vaughan & Johnson (1974 )] classifies the energy levels, both occupied and unoccupied, for clusters comprising the central excited ion and its first shell of neighbours. Its major success lies in the interpretation of level splitting on edges.

A one-electron band calculation constitutes a second step with noticeable successes in the case of metals (Müller, Jepsen & Wilkins, 1982 ). Core-loss spectroscopy, however, imposes specific conditions on the accessible final state: the overlap with the initial core wavefunction involves a projection in space on the site of the core hole, and the dominant dipole selection rules are responsible for angular symmetry selection. When extending the band-structure calculations to energy states rather high above the Fermi level, more elaborate methods, combining the conceptual advantage of the tight-binding method with the accuracy of ab initio pseudopotential calculations, have been developed (Janssen & Sankey, 1987 ). This self-consistent pseudo-atomic orbital band calculation has been used to describe ELNES structures on different covalent solids (Weng, Rez & Ma, 1989 ; Weng, Rez & Sankey, 1989 ).

The most promising description at present is the multiple scattering method developed for X-ray absorption spectra by Durham, Pendry & Hodges (1981 ) and Vvedensky, Saldin & Pendry (1985 ). It interprets the spectral modulations, in the energy range 10 to 30 eV above the edge, as due to interference effects, on the excited site, between all waves back-scattered by the neighbouring atoms (see Fig. 4.3.4.29 ). This multiple scattering description in real space should in principle converge towards the local point of view in the solid-state band model, calculated in reciprocal space (Heine, 1980 ). As an example investigated by EELS, the oxygen and magnesium K edges in MgO have been calculated by Lindner, Sauer, Engel & Kambe (1986 ) and by Weng & Rez (1989 ) for increased numbers of coordination shells and different potential models (representing variable ionicities). Fig. 4.3.4.30 shows the comparison of an experimental spectrum with such a calculation. Another useful idea emerging from this model is the simple relation, expressed by Bianconi, Fritsch, Calas & Petiau (1985 ): $[(E_r-E_b)\,d\,^2=C, \eqno (4.3.4.48)]$ where [E_r] is the energy position of a given resonance peak attributed to multiple scattering from a given shell of neighbours (d is the distance to this shell), and [E_b] is a reference energy close to the threshold energy. This simple law, advertised as the way of measuring `bond lengths with a ruler' (Stohr, Sette & Johnson, 1984 ), seems to be quite useful when comparing similar structures (Lytle, Greegor & Panson, 1988 ).

Figure 4.3.4.29| top | pdf |

Illustration of the single and multiple scattering effects used to describe the final wavefunction on the excited site. This theory is very fruitful for understanding and interpreting EXELFS and ELNES features, respectively equivalent to EXAFS and XANES encountered in X-ray absorption spectra.

Figure 4.3.4.30| top | pdf |

Comparison of the experimental O K edge (solid line) with calculated profiles in the multiple scattering approach [courtesy of Weng & Rez (1989 )].

Other effects, generally described as multi-electron contributions, cannot be systematically omitted. They all deal with the presence of a core hole on the excited atom and with its influence on the distribution of accessible electron states. Of particular importance are the intra-atomic configuration interactions for white lines, as explained by Zaanen, Sawatzky, Fink, Speier & Fuggle (1985 ) for [L_3] and [L_2] lines in transition metals and by Thole, van der Laan, Fuggle, Sawatzky, Karnatak & Esteva (1985 ) for $[M_{4,5}]$ lines in rare-earth elements.

(c) The extended fine structures (EXELFS) are equivalent to the well known EXAFS oscillations in X-ray absorption spectroscopy (Sayers, Stern & Lytle, 1971 ; Teo & Joy, 1981 ). Within the previously described multiscattering theory, it corresponds to the first step, the single scattering regime (see Fig. 4.3.4.29a ). These extended oscillations are due to the interference on the excited atom between the outgoing excited electron wavefunction and its components reflected on the nearest-neighbour atoms. This interference is destructive or constructive depending on the ratio between the return path length (where is the radial distance with the ith shell of backscattering atoms) and the wavelength of the excited electron. Fourier analysis of EXELFS structures, from 50 eV above the ionization threshold, gives the radial distribution function around this specific site. This is mostly a technique for measuring the local short-range order. Its accuracy has been established to be better than 0.1 Å on nearest-neighbour distances with test specimens, but such performance requires correction procedures for phase shifts. The method therefore seems more promising for measuring changes in interatomic distances in specimens of the same chemical composition. The major advantage of EXELFS is its applicability for small specimen volumes that can moreover be characterized by other high-resolution electron-microscopy modes. It is also possible to investigate bond lengths in different directions by selecting the scattering angle of the transmitted electron and the specimen orientation (Disko, Krivanek & Rez, 1982 ). On the other hand, the major limitations of EXELFS are due to the dose requirements for sufficient SNR and to the fact that the accessible excitation range is limited to edges below ∼2–3 keV and to oscillation domains ∼200 or 300 eV at the maximum.

4.3.4.4.4. Applications for core-loss spectroscopy

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(a) Quantitative microanalysis. The main field of application of core-loss EELS spectroscopy has been its use for local chemical analysis (Maher, 1979 ; Colliex, 1984 ; Egerton, 1978 , 1986 ). The occurrence of an edge superimposed on the regularly decreasing background of an EELS spectrum is an indication of the presence of the associated element within the analysed volume.

Methods have been developed to extract quantitative composition information from these spectra. The basic idea lies in the linear relationship between the measured signal (S) and the number (N) of atoms responsible for it (this is valid in the single core-loss domain for specimen thickness, i.e. up to several micrometres): $[S=I_0N\sigma, \eqno (4.3.4.49)]$ where [I_0] is the incident-beam intensity and σ the relevant excitation cross section in the experimental conditions used, and N is the number of atoms per unit area of specimen. As a satisfactory approximation for taking into account multiple scattering events (either elastic or inelastic in the low-loss region), Egerton (1978 ) has proposed that equation (4.3.4.49) be rewritten: $[S(\beta,\Delta)=I_0(\beta,\Delta)N\sigma(\beta,\Delta),\eqno (4.3.4.50)]$ where all quantities correspond to a limited angle of collection β and to a limited integration window Δ (eV) above threshold for signal measurement.

A major problem is the evaluation of the signal itself after background subtraction. The method generally used, demonstrated in Fig. 4.3.4.31 , involves extrapolating a modelized background profile below the core loss of interest. Following Egerton (1978 ), the choice of a power law $[B(\Delta E)=A\Delta E^{-R}]$ is satisfactory in many cases, and the signal is then defined as $[S(\Delta)=\textstyle\int\limits^{E_c+\Delta}_{E_c}[I(\Delta E)-B(\Delta E)]\,{\rm d}(\Delta E). \eqno (4.3.4.51)]$ Numerical methods have been developed to perform this process with a well controlled analysis of statistical errors (Trebbia, 1988 ).

Figure 4.3.4.31| top | pdf |

The conventional method of background subtraction for the evaluation of the characteristic signals S_{O K} and S_{Fe L_2,3} used for quantitative elemental analysis (to be compared with the approach described in Fig. 4.3.4.25 ).

In many cases, one is interested in elemental ratios; consequently, the useful formula becomes $[{N_A\over N_B}= {S_A(\beta,\Delta) \over S_B(\beta,\Delta)} \, {\sigma_B(\beta,\Delta) \over \sigma_A(\beta,\Delta)}. \eqno (4.3.4.52)]$ This can be used to determine the [N_A/N_B] ratio without standards, if the cross-section ratio $[\sigma_B/\sigma_A]$ (also called the $[k_{AB}]$ factor) is previously known: accuracy at present is limited to ±5% for most edges. But it is also possible to extract from this formula the cross-section (or k factor) experimental values for comparison with the calculated ones, if the local stoichiometry of the specimen is satisfactorily known [Hofer, Golob & Brunegger (1988 ) and Manoubi et al. (1989 ) for the $[M_{4,5}]$ edges].

Improvements have recently been made in order to reduce the different sources of errors. For medium-thickness specimens (i.e. for $[t\simeq\lambda_p]$ where $[\lambda_P]$ is the mean free path for plasmon excitation), deconvolution techniques are introduced for a safer determination of the signal. When the background extrapolation method cannot be used, i.e. when edges overlap noticeably, new approaches (such as illustrated in Fig. 4.3.4.25 ) try to determine the best simulated profile over the whole energy-loss range of interest. It requires several contributions, either deduced from previous measurements on standard (Shuman & Somlyo, 1987 ; Leapman & Swyt, 1988 ), or from reasonable mathematical models with different contributions for dealing with transitions towards bound states or continuum states (Manoubi, Tence, Walls & Colliex, 1990 ).

(b) Detection limits. This method has been shown to be the most successful of all EM techniques in terms of ultimate mass sensitivity and associated spatial resolution. This is due to the strong probability of excitation for the signals of interest (primary ionization event) and to the good localization of the characteristic even within the irradiated volume of material. Variations in composition have been recorded at a subnanometre level (Scheinfein & Isaacson, 1986 ; Colliex, 1985 ; Colliex, Maurice & Ugarte, 1989 ). In terms of ultimate sensitivity (minimum number of identified atoms), the range of a few tens of atoms (∼10⁻²¹ g) has been reached as early as about 15 years ago in the pioneering work of Isaacson & Johnson (1975 ). Very recently, a level close to the single-atom identification has been demonstrated (Mory & Colliex, 1989 ). A major obstacle is then often radiation damage, and consequent specimen modification induced by the very intense primary dose required for obtaining sufficient SNR values.

On the other hand, the EELS technique has long been less fruitful for investigating low concentrations of impurities within a matrix. This is a consequence of the very high intrinsic background under the edges of interest: in most applications, the atomic concentration detection limit was in the range 10⁻³ to 10⁻². The introduction of satisfactory methods for processing the systematic sources of noise in spectra acquired with parallel detection devices (Shuman & Kruit, 1985 ) has greatly modified this situation. One can now take full benefit from the very high number of counts thus recorded within a reasonable time (10⁶ to 10⁷ counts per channel) and detection of calcium of the order of 10⁻⁵ atomic concentration in an organic matrix has been demonstrated by Shuman & Somlyo (1987 ).
(c) Crystallographic information in EELS. Although not particularly suited to solving crystal-structure problems, EELS carries structural information at different levels:

In a crystalline specimen, one detects orientation effects on the intensity of core-loss edges. This is a consequence of the channelling of the Bloch standing waves as a function of the crystal orientation This observation requires well collimated angular conditions and inelastic localization better than the lattice spacing responsible for elastic diffraction. When these criteria apply, the changes in core-loss excitations with crystallographic orientation can be used to determine the crystallographic site of specific atoms (Tafto & Krivanek, 1982 ). An equivalent method, known as ALCHEMI (atom location by channelling enhanced microanalysis), which involves measuring the change of X-ray production as a function of crystal orientation, has been applied to the determination of the preferential site for substitutional impurities in many crystals (Spence & Tafto, 1983 ).

Energy-filtered electron-diffraction patterns of core-loss edges could reveal the symmetry of the local coordination of selected atomic species rather than the symmetry of the crystal as a whole. This type of information should be compared with ELNES data (Spence, 1981 ).

At large scattering angles, and for energy losses far beyond the excitation threshold, the Bethe ridge [or electron Compton profile (see §§4.3.4.3.3 and 4.3.4.4.2 )] constitutes a major feature easily observable in energy-filtered diffraction patterns (Reimer & Rennekamp, 1989 ). The width of this feature is associated with the momentum distribution of the excited electrons (Williams & Bourdillon, 1982 ). Quantitative analysis of the data is similar to the Fourier method for EXELFS oscillations. After subtracting the background contribution, the spectrum is converted into momentum space and Fourier transformed to obtain the reciprocal form factor B(r): it is the autocorrelation of the ground-state wavefunction in a direction specified by the scattering vector q. This technique of data analysis to study electron momentum densities is directly developed from high-energy photon-scattering experiments (Williams, Sparrow & Egerton, 1984 ).

4.3.4.5. Conclusions

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Since the early work of Hillier & Baker (1944 ), EELS spectroscopy has established itself as a prominent technique for investigating various aspects of the electronic structure of solids. As a fundamental application, it is now possible to construct a self-consistent set of data for a substance by combination of optical or energy-loss functions over a wide spectral range (Altarelli & Smith, 1974 ; Shiles, Sazaki, Inokuti & Smith, 1980 : Hagemann, Gudat & Kunz, 1975 ). Sum-rule tests provide useful guidance in selecting the best values from the available measurements. The Thomas–Reiche–Kuhn f-sum rule can be expressed in a number of equivalent forms, which all require the knowledge of a function $[[\varepsilon_2,\kappa, {\rm Im}(-1/\varepsilon)]]$ describing dissipative processes over all frequencies: $[\left. \eqalign{\int\limits^\infty_0\omega\varepsilon_2(\omega)\,{\rm d}\omega &= {\pi\over 2}\omega^2_p, \cr \int\limits^\infty_0\omega\kappa(\omega)\,{\rm d}\omega &= {\pi\over4}\omega^2_p, \cr \int\limits^\infty_0\omega\left(-\displaystyle{1\over\varepsilon(\omega)}\right){\rm d}\omega &={\pi\over 2}\omega^2_p.}\right\} \eqno (4.3.4.53)]$ One defines the effective number density $[n_{\rm eff}]$ of electrons contributing to these various absorption processes at an energy $[\hbar\omega]$ by the partial f sums: $[\left. \eqalign{ n_{\rm eff}(\omega)|_{\varepsilon_2} &= {m_0\over 2\pi^2e^2} \int\limits^\omega_0\, \omega'\varepsilon_2(\omega')\,{\rm d}\omega', \cr n_{\rm eff}(\omega)|_\kappa &= {m_0\over \pi^2e^2}\int\limits^\omega_0\, \omega'\kappa(\omega')\,{\rm d}\omega', \cr n_{\rm eff}(\omega)|_{-1/\varepsilon} &={m_0 \over 2\pi^2e^2}\int\limits^\omega_0\, \omega'\left[-\displaystyle{1\over \varepsilon(\omega')}\right]{\rm d}\omega'.}\right\} \eqno (4.3.4.54)]$ As an example, the values of $[n_{\rm eff}(\omega)]$ from the infrared to beyond the K-shell excitation energy for metallic aluminium are shown in Fig. 4.3.4.32 . In this case, the conduction and core-electron contributions are well separated. One sees that the excitation of conduction electrons is virtually completed above the plasmon resonance only, but the different behaviour of the integrands below this value is a consequence of the fact that they describe different properties of matter: $[\varepsilon_2(\omega)]$ is a measure of the rate of energy dissipation from an electromagnetic wave, $[\kappa(\omega)]$ describes the decrease in amplitude of the wave, and $[{\rm Im}[-\varepsilon^{-1}(\omega)]]$ is related to the energy loss of a fast electron. The above curve shows some exchange of oscillator strength from core to valence electrons, arising from the Pauli principle, which forbids transitions to occupied states for the deeper electrons.

Figure 4.3.4.32| top | pdf |

Values of n_eff for metallic aluminium based on composite optical data [courtesy of Shiles et al. (1980 )].

More practically, in the microanalytical domain, the combination of high performance attained by using EELS with parallel detection (i.e. energy resolution below 1 eV, spatial resolution below 1 nm, minimum concentration below 10⁻³ atom, time resolution below 10 ms) makes it a unique tool for studying local electronic properties in solid specimens.

4.3.5. Oriented texture patterns

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B. B. Zvyaginⁿ ^‡

4.3.5.1. Texture patterns

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The formation of textures in specimens for diffraction experiments is a natural consequence of the tendency for crystals of a highly anisotropic shape to deposit with a preferred orientation. The corresponding diffraction patterns may present some special advantages for the solution of problems of phase and structure analysis . Lamellar textures composed of crystals with the most fully developed face parallel to a plane but randomly rotated about its normal are specially important. The ease of interpretation of patterns of such textures when oriented obliquely to the primary beam (OT patterns) is a valuable property of the electron-diffraction method (Pinsker, 1953 ; Vainshtein, 1964 ; Zvyagin, 1967 ; Zvyagin, Vrublevskaya, Zhukhlistov, Sidorenko, Soboleva & Fedotov, 1979 ). Texture patterns (T patterns) are also useful in X-ray diffraction (Krinary, 1975 ; Mamy & Gaultier, 1976 ; Plançon, Rousseaux, Tchoubar, Tchoubar, Krinari & Drits, 1982 ).

4.3.5.2. Lattice plane oriented perpendicular to a direction (lamellar texture)

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If in the plane of orientation (the texture basis ) the crystal has a two-dimensional cell a, b, γ, the c* axis of the reciprocal cell will be the texture axis . Reciprocal-lattice rods parallel to c* intersect the plane normal to them (the ab plane of the direct lattice) in the positions hk of a two-dimensional net that has periods $[1/a\sin\gamma]$ and $[1/b\sin \gamma]$ with an angle γ′ = π − γ between them, whatever the direction of the c axis in the direct lattice. The latter is defined by the absolute value c and the normal projection [c_n] on the ab plane, with components [x_n] , [y_n] along the axes a, b. In the triclinic case, $[{x_n=(c/a)(\cos\beta-\cos\alpha\cos\gamma)/\sin^2\gamma} \eqno (4.3.5.1)]$ $[{y_n=(c/b)(\cos\alpha-\cos\beta\cos\gamma)/\sin^2\gamma} \eqno (4.3.5.2)]$ (Zvyagin et al., 1979 ). The lattice points of each rod with constant hk and integer l are at intervals of $[c^*=1/d_{001}]$ , but their real positions, described by their distances $[D_{hkl}]$ from the plane ab, depend on the projections of the axes a* and b* on c* (see Fig. 4.3.5.1 ), the equations $[{x_n=-a^*\cos\beta^*/c^*} \eqno (4.3.5.3)]$ $[{y_n=-b^*\cos\alpha^*/c^*} \eqno (4.3.5.4)]$ being satisfied.

Figure 4.3.5.1| top | pdf |

The relative orientations of the direct and the reciprocal axes and their projections on the plane ab, with indication of the distances B_hk and D_hkl that define the positions of reflections in lamellar texture patterns.

The reciprocal-space representation of a lamellar texture is formed by the rotation of the reciprocal lattice of a single crystal about the c* axis. The rods hk become cylinders and the lattice points become circles lying on the cylinders. In the case of high-energy electron diffraction (HEED ), the wavelength of the electrons is very short, and the Ewald sphere, of radius 1/λ, is so great that it may be approximated by a plane passing through the origin of reciprocal space and normal to the incident beam. The patterns differ in their geometry, depending on the angle $[\varphi]$ through which the specimen is tilted from perpendicularity to the primary beam. At $[\varphi=0]$ , the pattern consists of hk rings. When $[\varphi\neq0]$ it contains a two-dimensional set of reflections hkl falling on hk ellipses formed by oblique sections of the hk cylinders. In the limiting case of $[\varphi=\pi/2]$ , the ellipses degenerate into pairs of parallel straight lines theoretically containing the maximum numbers of reflections. The reflection positions are defined by two kinds of distances: (1) between the straight lines hk (length of the short axes of the ellipses hk): $[B_{hk}=(1/\sin\gamma)(h^2/a^2+k^2/b^2 - 2hk\cos\gamma/ab)^{1/2} \eqno (4.3.5.5)]$ and (2) from the reflection hkl to the line of the short axes: $[\eqalignno{D_{hkl} &= (ha^*\cos\beta^*/c^*+kb^*\cos\alpha^*/c^*+l)c^* &(4.3.5.6)\cr &=(-hx_n-ky_n+l)/d_{001}. &(4.3.5.7)}%fd4.3.5.7]$ In patterns obtained under real conditions $[(0\lt\varphi\lt\pi/2]$ , accelerating voltage V proportional to $[\lambda^{-2}]$ , distance L between the specimen and the screen), these values are presented in the scale of $[L\lambda]$ , $[D_{hkl}]$ also being proportional to $[1/\sin\varphi]$ with maximum value $[D_{\rm max}=B_{hk}\tan\varphi]$ for the registrable reflections. The values of $[B_{hk}]$ and $[D_{hkl}]$ , determined by the unit cells and the indices hkl, are the objects of the geometrical analysis of the OT patterns . When the symmetry is higher than triclinic, the expression for $[B_{hk}]$ and $[D_{hkl}]$ are much simpler.

Such OT patterns are very informative, because the regular two-dimensional distribution of the hkl reflections permits definite indexing, cell determination, and intensity measurements. For low-symmetry and fine-grained substances, they present unique advantages for phase identification, polytypism studies , and structure analysis .

In the X-ray study of textures , it is impossible to neglect the curvature of the Ewald sphere and the number of reflections recorded is restricted to larger d values. However, there are advantages in that thicker specimens can be used and reflections with small values of $[B_{hk}]$ , especially the 00l reflections, can be recorded. Such patterns are obtained in usual powder cameras with the incident beam parallel to the platelets of the oriented aggregate and are recorded on photographic film in the form of hkl reflection sequences along hk lines, as was demonstrated by Mamy & Gaultier (1976 ). The hk lines are no longer straight, but have the shapes described by Bernal (1926 ) for rotation photographs. It is difficult, however, to prepare good specimens. Other arrangements have been developed recently with advantages for precise intensity measurements. The reflections are recorded consecutively by means of a powder diffractometer fitted with a goniometer head. The relation between the angle of tilt $[\varphi]$ and the angle of diffraction (twice the Bragg angle) $[2\theta]$ depends on the reciprocal-lattice point to be recorded. If the latter is defined by a vector of length $[H=(2\sin\theta)/\lambda]$ and by the angle $[\omega]$ between the vector and the plane of orientation (texture basis), the relation $[\varphi=\theta-\omega]$ permits scanning of reciprocal space along any trajectory by proper choice of consecutive values of $[\omega]$ or $[\theta]$ . In particular, if $[\omega]$ is constant, the trajectory is a straight line passing through the origin at an angle $[\omega]$ to the plane of orientation (Krinary, 1975 ). Using additional conditions $[[\omega=\arctan(D/B)]$ , $[H=(B^2+D^2)^{1/2}]]$ , Plançon et al. (1982 ) realized the recording and the measurement of intensities along the cylinder-generating hk rods for different shapes of the misorientation function N(α).

In the course of development of electron diffractometry, a deflecting system has been developed that permits scanning the electron diffraction pattern across the fixed detector along any direction over any interval (Fig. 4.3.5.2 ). The intensities are measured point by point in steps of variable length. This system is applicable to any kind of two-dimensional intensity pattern, and in particular to texture patterns (Zvyagin, Zhukhlistov & Plotnikov, 1996 ). Electron diffractometry provides very precise intensity measurements and very reliable structural data (Zhukhlistov et al., 1997 ).

Figure 4.3.5.2| top | pdf |

(a) Part of the OTED pattern of the clay mineral kaolinite and (b) the intensity profile of a characteristic quadruplet of reflections recorded with the electron diffractometry system. The scanning direction is indicated in (a).

If the effective thickness of the lamellae is very small, of the order of the lattice parameter c, the diffraction pattern generates into a combination of broad but recognizably distinct 00l reflections and broad asymmetrical hk bands (Warren, 1941 ). The classical treatments of the shape of the bands were given by Méring (1949 ) and Wilson (1949 ) [for an elementary introduction see Wilson (1962 )].

4.3.5.3. Lattice direction oriented parallel to a direction (fibre texture )

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A fibre texture occurs when the crystals forming the specimen have a single direction in common. Each point of the reciprocal lattice describes a circle lying in a plane normal to the texture axis. The pattern, considered as plane sections of the reciprocal-lattice representation, resembles rotation diagrams of single crystals and approximates to the patterns given by cylindrical lattices (characteristic, for example, of tubular crystals).

If the a axis is the texture axis, the hk rods are at distances $[B_{hk}=(-h\cos\gamma/a+k/b)/\sin\gamma \eqno (4.3.5.8)]$ from the texture axis and $[D_{hk}=h/a \eqno (4.3.5.9)]$ from the plane normal to the texture axis (the zero plane b*c*). On rotation, they intersect the plane normal to the incident beam and pass through the texture axis in layer lines at distances $[D_{hk}]$ from the zero line, while the reflection positions along these lines are defined by their distances from the textures axis (see Fig. 4.3.5.3 ): $[B_{hkl}=[B^2_{hk}+(-hx_n-ky_n+l)^2/d\,^2_{001}]^{1/2}. \eqno (4.3.5.10)]$

Figure 4.3.5.3| top | pdf |

The projections of the reciprocal axes on the plane ab of the direct lattice, with indications of the distances B and D of the hk rows from the fibre-texture axes a or [hk].

If the texture axis forms an angle $[\varepsilon]$ with the a axis and $[\delta=\varepsilon-\gamma+\pi/2]$ with the projection of a* on the plane ab, then $[\eqalignno{B_{hk} &=\{-h(\sin\delta)/a+k[\sin(\gamma'-\delta)]/b\}/\sin\gamma &(4.3.5.11) \cr &=\{-h[\cos(\gamma-\varepsilon)]/a+k\cos\varepsilon/b\}/\sin\gamma &(4.3.5.12) \cr D_{hk} &=\{h(\cos\delta)/a+k[\cos(\gamma'-\delta)]/b\}/\sin\gamma & (4.3.5.13) \cr&=\{h[\sin(\gamma-\varepsilon)]/a+k\sin\varepsilon/b\}/\sin\gamma.&(4.3.5.14)}%fd4.3.5.12fd4.3.5.13fd4.3.5.14]$ The relation between the angles δ, $[\varepsilon]$ , and the direction [hk] of the texture axis is given by the expression $[\eqalignno{ \cos\delta &=\sin(\gamma-\varepsilon)\cr &=[h/a-k(\cos\gamma)/b] \cr&\quad\times[h^2a^{-2}+k^2b^{-2}-2hk(\cos\gamma)/ab]^{-1/2}. &(4.3.5.15)}]$ The layer lines with constant h that coincide when $[\varepsilon=0]$ are split when $[\varepsilon\neq0]$ according to the sign of k, since then $[D_{hk}\neq D_{h\bar k}]$ and $[B_{hk}]$ and $[B_{hkl}]$ defining the reflection positions along the layer line take other values. Such peculiarities have been observed by means of selected-area electron diffraction for tabular particles and linear crystal aggregates of some phyllosilicates in the simple case of γ = π/2 (Gritsaenko, Zvyagin, Boyarskaya, Gorshkov, Samotoin & Frolova, 1969 ).

When fibres or linear aggregates are deposited on a film (for example, in specimens for high-resolution electron diffraction) with one direction parallel to a plane, they form a texture that is intermediate between lamellar and fibre. The points of the reciprocal lattice are subject to two rotations: around the fibre axis and around the normal to the plane. The first rotation results in circles, the second in spherical bands of different widths, depending on the position of the initial point relative to the texture axis and the zero plane normal to it. The diffraction patterns correspond to oblique plane sections of reciprocal space, and consist of arcs having intensity maxima near their ends; in some cases, the arcs close to form complete circles. In particular, when the particle elongation is in the a direction, the angular range of the arcs decreases with h and increases with k (Zvyagin, 1967 ).

4.3.5.4. Applications to metals and organic materials

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The above treatment, though general, had layer silicates primarily in view. Texture studies are particularly important for metal specimens that have been subjected to cold work or other treatments; the phenomena and their interpretation occupy several chapters of the book by Barrett & Massalski (1980 ). Similarly, Kakudo & Kasai (1972 ) devote much space to texture in polymer specimens , and Guinier (1956 ) gives a good treatment of the whole subject. The mathematical methods for describing and analysing textures of all types have been described by Bunge (1982 ; the German edition of 1969 was revised in many places and a few errors were corrected for the English translation).

4.3.6. Computation of dynamical wave amplitudes

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4.3.6.1. The multislice method

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D. F. Lynch^h

The calculation of very large numbers of diffracted orders, i.e. more than 100 and often several thousand, requires the multislice procedure. This occurs because, for N diffracted orders, the multislice procedure involves the manipulation of arrays of size N, whereas the scattering matrix or the eigenvalue procedures involve manipulation of arrays of size N by N.

The simplest form of the multislice procedure presumes that the specimen is a parallel-sided plate. The surface normal is usually taken to be the z axis and the crystal structure axes are often chosen or transformed such that the c axis is parallel to z and the a and b axes are in the xy plane. This can often lead to rather unconventional choices for the unit-cell parameters. The maximum tilt of the incident beam from the surface normal is restricted to be of the order of 0.1 rad. For the calculation of wave amplitudes for larger tilts, the structure must be reprojected down an axis close to the incident-beam direction. For simple calculations, other crystal shapes are generally treated by the column approximation, that is the crystal is presumed to consist of columns parallel to the z axis, each column of different height and tilt in order to approximate the desired shape and variation of orientation.

The numerical procedure involves calculation of the transmission function through a thin slice, calculation of the vacuum propagation between centres of neighbouring slices, followed by evaluation in a computer of the iterated equation $[u_n(h,k)=p_n\{p_{n-1}\ldots p_3[\,p_2(p_1q_1*q_2)*q_3]*\ldots *q_n\}\eqno (4.3.6.1)]$ in order to obtain the scattered wavefunction, [u_n(h,k)] , emitted from slice n, i.e. for crystal thickness $[H=\Delta z_1+]$ $[\Delta z_2+\ldots+\Delta z_n]$ ; the symbol * indicates the operation `convolution' defined by $[f_1(x)*f_2(x)=\textstyle\int\limits^\infty_{-\infty}f_1(w)f_2(x-w)\,{\rm d} w,]$ and $[p_n=\exp\big(\!-i2\pi\Delta z_n(\lambda/2)\{[h(h-h'')/a^2]+[k(k-k'')/b^2]\}\big)]$ is the propagation function in the small-angle approximation between slice n − 1 and slice n over the slice spacing $[\Delta z_n]$ . For simplicity, the equation is given for orthogonal axes and h′′, k′′ are the usually non-integral intercepts of the Laue circle on the reciprocal-space axes in units of (1/a), (1/b). The excitation errors, $[\zeta(h,k)]$ , can be evaluated using $[\zeta(h,k)=-(\lambda/2)\{[h(h-h'')/a^2]+[k(k-k'')/b^2]\}. \eqno (4.3.6.2)]$ The transmission function for slice n is $[q_n(h,k)=F\{\exp[i\sigma\varphi_n(x,y)\Delta z_n]\}, \eqno (4.3.6.3)]$ where F denotes Fourier transformation from real to reciprocal space, and $[\varphi_n(x,y)\Delta z_n= {^p}\varphi(x,y)=\textstyle\int\limits^{z_{n-1}+\Delta z_n}_{z_{n-1}} \varphi(x,y,z)\,{\rm d} z]$ and $[\sigma={\pi\over W\lambda}\,{2\over{1+(1-\beta^2)^{1/2}}}]$ $[\beta={v\over c},]$ where W is the beam voltage, v is the relativistic velocity of the electron, c is the velocity of light, and λ is the relativistic wavelength of the electron.

The operation * in (4.3.6.1) is most effectively carried out for large N by the use of the convolution theorem of Fourier transformations. This efficiency presumes that there is available an efficient fast-Fourier-transform subroutine that is suitable for crystallographic computing, that is, that contains the usual crystallographic normalization factors and that can deal with a range of values for h, k that go from negative to positive. Then, $[u_n(h,k)=F\{F^{-1}[u_{n-1}(h,k)]F^{-1}[q_n(h,k)]\}, \eqno (4.3.6.4)]$ where F denotes $[u(h,k)={1\over n_x n_y}\; \sum^{n_x}_{x=1} \sum^{n_y}_{y=1} U(x,y)\exp\left\{2\pi i\left[\displaystyle{hx\over n_x},{ky\over n_y}\right]\right\}]$ and $[F^{-1}]$ denotes $[U(x,y) ={\sum^{n_h}_{h=-n_h}} \sum^{n_k}_{k=-n_k} u(h,k)\exp\left\{2\pi i\left[\displaystyle{hx\over n_x},{ky\over n_y}\right]\right\},]$ where [n_h=(n_x/2)-1] , [n_k=(n_y/2)-1] , and [n_x,n_y] are the sampling intervals in the unit cell. The array sizes used in the calculations of the Fourier transforms are commonly powers of 2 as is required by many fast Fourier subroutines. The array for [u_n(h,k)] is usually defined over the central portion of the reserved computer array space in order to avoid oscillation in the Fourier transforms (Gibbs instability). It is usual to carry out a $[64\times64]$ beam calculation in an array of $[128\times128]$ , hence the critical timing interval in a multislice calculation is that interval taken by a fast Fourier transform for 4N coefficients. If the number of beams, N, is such that there is still appreciable intensity being scattered outside the calculation aperture, then it is usually necessary to impose a circular aperture on the calculation in order to prevent the symmetry of the calculation aperture imposing itself on the calculated wavefunction. This is most conveniently achieved by setting all p(h, k) coefficients outside the desired circular aperture to zero.

It is clear that the iterative procedure of (4.3.6.1) means that care must be taken to avoid accumulation of error due to the precision of representation of numbers in the computer that is to be used. Practical experience indicates that a precision of nine significant figures (decimal) is more than adequate for most calculations. A precision of six to seven (decimal) figures (a common 32-bit floating-point representation) is only barely satisfactory. A computer that uses one of the common 64-bit representations (12 to 16 significant figures) is satisfactory even for the largest calculations currently contemplated.

The choice of slice thickness depends upon the maximum value of the projected potential within a slice and upon the validity of separation of the calculation into transmission function and propagation function. The second criterion is not severe and in practice sets an upper limit to slice thickness of about 10 Å. The first criterion depends upon the atomic number of atoms in the trial structure. In practice, the slice thickness will be too large if two atoms of medium to heavy atomic weight $[(Z\ge30)]$ are projected onto one another. It is not necessary to take slices less than one atomic diameter for calculations for fast electron (acceleration voltages greater than 50 keV) diffraction or microscopy. If the trial structure is such that the symmetry of the diffraction pattern is not strongly dependent upon the structure of the crystal parallel to the slice normal, then the slices may be all identical and there is no requirement to have a slice thickness related to the periodicity of the structure parallel to the surface normal. This is called the `no upper-layer-line' approximation . If the upper-layer lines are important, then the slice thickness will need to be a discrete fraction of the c axis, and the contents of each slice will need to reflect the actual atomic contents of each slice. Hence, if there were four slices per unit cell, then there would need to be four distinct q(h, k), each taken in the appropriate order as the multislice operation proceeds in thickness.

The multislice procedure has two checks that can be readily performed during a calculation. The first is applied to the transmission function, q(h, k), and involves the evaluation of a unitarity test by calculation of $[\textstyle\sum\limits_{h'} \sum\limits_{k'}\,q(h',k')q^*(h+h',k+k')=\delta(h,k) \eqno (4.3.6.5)]$ for all h, k, where q* denotes the complex conjugate of q, and δ(h,k) is the Kronecker delta function. The second test can be applied to any calculation for which no phenomenological absorption potential has been used in the evaluation of the q(h, k). In that case, the sum of intensities of all beams at the final thickness should be no less than 0.9, the incident intensity being taken as 1.0. A value of this sum that is less than 0.9 indicates that the number of beams, N, has been insufficient. In some rare cases, the sum can be greater than 1.0; this is usually an indication that the number of beams has been allowed to come very close to the array size used in the convolution procedure. This last result does not occur if the convolution is carried out directly rather than by use of fast-Fourier-transform methods.

A more complete discussion of the multislice procedure can be obtained from Cowley (1975 ) and Goodman & Moodie (1974 ). These references are not exhaustive, but rather an indication of particularly useful articles for the novice in this subject.

4.3.6.2. The Bloch-wave method

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A. Howie^g

Bloch waves, familiar in solid-state valence-band theory, arise as the basic wave solutions for a periodic structure. They are thus always implicit and often explicit in dynamical diffraction calculations, whether applied in perfect crystals, in almost perfect crystals with slowly varying defect strain fields or in more general structures that (see Subsection 4.3.6.1 ) can always, for computations, be treated by periodic continuation.

The Schrödinger wave equation in a periodic structure, $[\nabla^2\psi+4\pi^2\bigg[\chi^2+\textstyle\sum\limits_{\bf g} \,U_{\bf g} \exp (2\pi i{\bf g}\cdot{\bf r})\bigg]\psi=0, \eqno (4.3.6.6)]$ can be applied to high-energy, relativistic electron diffraction, taking $[\chi=\lambda^{-1}]$ as the relativistically corrected electron wave number (see Subsection 4.3.1.4 ). The Fourier coefficients in the expression for the periodic potential are defined at reciprocal-lattice points g by the expression $[U_{\bf g}=U^*_{-{\bf g}}={m\over m_0} {\exp(-M_{\bf g}) \over\pi\Omega} \sum_j \, f_j[\sin(\theta_{\bf g})/\lambda]\exp(-2\pi i{\bf g}\cdot{\bf r}_j), \eqno (4.3.6.7)]$ where [f_j] is the Born scattering amplitude (see Subsection 4.3.1.2 ) of the jth atom at position $[{\bf r}_j]$ in the unit cell of volume $[\Omega]$ and $[M_{\bf g}]$ is the Debye–Waller factor.

The simplest solution to (4.3.6.6) is a single Bloch wave, consisting of a linear combination of plane-wave beams coupled by Bragg reflection. $[\psi({\bf r})=b({\bf k},{\bf r})=\textstyle\sum\limits_h C_{\bf h}\exp[2\pi i({\bf k}+{\bf h})\cdot{\bf r}]. \eqno (4.3.6.8)]$ In practice, only a limited number of terms N, corresponding to the most strongly excited Bragg beams, is included in (4.3.6.8). Substitution in (4.3.6.6) then yields N simultaneous equations for the wave amplitudes $[C_{\bf g}.]$ $[[\chi^2+U_0-({\bf k}+{\bf g})^2]C_{\bf g}+\textstyle\sum\limits_{\bf g'\ne0}U_{\bf g'}C_{\bf g-{\bf g}'}=0. \eqno (4.3.6.9)]$ Usually, χ and the two tangential components [k_x] and [k_y] are fixed by matching to the incident wave at the crystal entrance surface. [k_z] then emerges as a root of the determinant of coefficients appearing in (4.3.6.9).

Numerical solution of (4.3.6.9) is considerably simplified (Hirsch, Howie, Nicholson, Pashley & Whelan, 1977a ) in cases of transmission high-energy electron diffraction where all the important reciprocal-lattice points lie in the zero-order Laue zone [g_z=0] and $[\chi^2\gg |U_{\bf g}|]$ . The equations then reduce to a standard matrix eigenvalue problem (for which efficient subroutines are widely available): $[\textstyle\sum\limits_{\bf h} M_{\bf gh}C_{\bf h}=\gamma C_{\bf g}, \eqno (4.3.6.10)]$ where $[M_{\bf gh}=U_{\bf g-h}/2\chi+s_{\bf g}\delta_{\bf gh}]$ and $[s_{\bf g}=[k^2-({\bf k}+{\bf g})^2]/2\chi]$ is the distance, measured in the z direction, of the reciprocal-lattice point g from the Ewald sphere.

There will in general be N distinct eigenvalues $[\gamma=k_z-\chi_z]$ corresponding to N possible values $[k^{(\,j)}_z]$ , $[j=1,2,\cdots N]$ , each with its eigenfunction defined by N wave amplitudes $[C^{(\,j)}_0, C^{(\,j)}_{\bf g},\ldots, C^{(\,j)}_{\bf h}]$ . The waves are normalized and orthogonal so that $[\textstyle\sum\limits_{\bf g} C^{(\,j)}_{\bf g}{^*} C^{(l)}_{\bf g}=\delta_{jl};\quad\textstyle \sum\limits_jC_{\bf g}^{(\,j)*}C^{(l)}_{\bf h}=\delta_{\bf gh}. \eqno (4.3.6.11)]$ In simple transmission geometry, the complete solution for the total coherent wavefunction $[\psi({\bf r})]$ is $[\psi({\bf r})=\textstyle\sum\limits_j \psi^{(\,j)}\exp[-2\pi q^{(\,j)}z]\sum\limits_{\bf g}C^{(\,j)}_{\bf g}\exp [2\pi i(\chi+{\bf g})\cdot {\bf r}]. \eqno (4.3.6.12)]$ Inelastic and thermal-diffuse-scattering processes cause anomalous absorption effects whereby the amplitude of each component Bloch wave decays with depth z in the crystal from its initial value $[\psi^{(\,j)}=C^{(\,j)*}_0]$ . The decay constant is computed using an imaginary optical potential $[iU'({\bf r})]$ with Fourier coefficients $[iU'_{\bf g}=iU'^{*}_{-{\bf g}}]$ (for further details of these see Humphreys & Hirsch, 1968 , and Subsection 4.3.1.5 and Section 4.3.2 ). $[q^{(\,j)} = {m\over h^2\chi_z} \sum_{\bf g,h} C^{(\,j)*}_{\bf g} U'_{\bf h}C^{(\,j)}_{\bf g-h}. \eqno (4.3.6.13)]$ The Bloch-wave, matrix-diagonalization method has been extended to include reciprocal-lattice points in higher-order Laue zones (Jones, Rackham & Steeds, 1977 ) and, using pseudopotential scattering amplitudes, to the case of low-energy electrons (Pendry, 1974 ).

The Bloch-wave picture may be compared with other variants of dynamical diffraction theory, which, like the multislice method (Subsection 4.3.6.1 ), for example, employ plane waves whose amplitudes vary with position in real space and are determined by numerical integration of first-order coupled differential equations. For cases with $[N\lt50]$ beams in perfect crystals or in crystals containing localized defects such as stacking faults or small point-defect clusters, the Bloch-wave method offers many advantages, particularly in thicker crystals with t > 1000 Å. For high-resolution image calculations in thin crystals where the periodic continuation process may lead to several hundred diffracted beams, the multislice method is more efficient. For cases of defects with extended strain fields or crystals illuminated at oblique incidence, coupled plane-wave integrations along columns in real space (Howie & Basinski, 1968 ) can be the most efficient method.

The general advantage of the Bloch-wave method, however, is the picture it affords of wave propagation and scattering in both perfect and imperfect crystals. For this purpose, solutions of equations (4.3.6.9) allow dispersion surfaces to be plotted in k space, covering with several sheets j all the wave points $[{\bf k}^{(\,j)}]$ for a given energy E. Thickness fringes and other interference effects then arise because of interference between waves excited at different points $[{\bf k}^{(\,j)}]$ . The average current flow at each point is normal to the dispersion surface and anomalous-absorption effects can be understood in terms of the distribution of Bloch-wave current within the unit cell. Detailed study of these effects, and the behaviour of dispersion surfaces as a function of energy, yields accurate data on scattering amplitudes via the critical-voltage effect (see Section 4.3.7 ). Static crystal defects induce elastic scattering transitions $[{\bf k}^{(\,j)}\rightarrow{\bf k}^{(l)}]$ on sheets of the same dispersion surface. Transitions between points on dispersion surfaces of different energies occur because of thermal diffuse scattering, generation of electronic excitations or the emission of radiation by the fast electron. The Bloch-wave picture and the dispersion surface are central to any description of these phenomena. For further information and references, the reader may find it helpful to consult Section 5.2.10 of Volume B (IT B, 2001 ).

4.3.7. Measurement of structure factors and determination of crystal thickness by electron diffraction

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J. Gjønnes^e and J. W. Steeds^m

Current advances in quantitative electron diffraction are connected with improved experimental facilities, notably the combination of convergent-beam electron diffraction (CBED ) with new detection systems. This is reflected in extended applications of electron diffraction intensities to problems in crystallography, ranging from valence-electron distributions in crystals with small unit cells to structure determination of biological molecules in membranes. The experimental procedures can be seen in relation to the two main principles for measurement of diffracted intensities from crystals:

– rocking curves, i.e. intensity profiles measured as function of deviation, s_g, from the Bragg condition, and
– integrated intensities, which form the well known basis for X-ray and neutron diffraction determination of crystal structure.

Integrated intensities are not easily defined in the most common type of electron-diffraction pattern, viz the selected-area (SAD) spot pattern. This is due to the combination of dynamical scattering and the orientation and thickness variations usually present within the typically micrometre-size illuminated area. This combination leads to spot pattern intensities that are poorly defined averages over complicated scattering functions of many structure factors. Convergent-beam electron diffraction is a better alternative for intensity measurements, especially for inorganic structures with small-to-moderate unit cells. In CBED , a fine beam is focused within an area of a few hundred ångströms, with a divergence of the order of a tenth of a degree. The diffraction pattern then appears in the form of discs, which are essentially two-dimensional rocking curves from a small illuminated area, within which thickness and orientation can be regarded as constant. These intensity distributions are obtained under well defined conditions and are well suited for comparison with theoretical calculations. The intensity can be recorded either photographically, or with other parallel recording systems, viz YAG screen/CCD camera (Krivanek, Mooney, Fan, Leber & Meyer, 1991 ) or image plates (Mori, Oikawa & Harada, 1990 ) – or sequentially by a scanning system. The inelastic background can be removed by an energy filter (Krahl, Pätzold & Swoboda, 1990 ; Krivanek, Gubbens, Dellby & Meyer, 1991 ). Detailed intensity profiles in one or two dimensions can then be measured with high precision for low-order reflections from simple structures. But there are limitations also with the CBED technique: the crystal should be fairly perfect within the illuminated area and the unit cell relatively small, so that overlap between discs can be avoided. The current development of electron diffraction is therefore characterized by a wide range of techniques, which extend from the traditional spot pattern to two-dimensional, filtered rocking curves, adapted to the structure problems under study and the specimens that are available.

Spot-pattern intensities are best for thin samples of crystals with light atoms, especially organic and biological materials. Dorset and co-workers (Dorset, Jap, Ho & Glaeser, 1979 ; Dorset, 1991 ) have shown how conventional crystallographic techniques (`direct phasing') can be applied in ab initio structure determination of thin organic crystals from spot intensities in projections. Two main complications were treated by them: bending of the crystal and dynamical scattering. Thin crystals will frequently be bent; this will give some integration of the reflection, but may also produce a slight distortion of the structure, as pointed out by Cowley (1961 ), who proposed a correction formula. The thickness range for which a kinematical approach to intensities is valid was estimated theoretically by Dorset et al. (1979 ). For organic crystals, they quoted a few hundred ångströms as a limit for kinematical scattering in dense projections at 100 kV.

Radiation damage is a problem, but with low-dose and cryo-techniques, electron-microscopy methods can be applied to many organic crystals, as shown by several recent investigations. Voigt-Martin, Yan, Gilmore, Shankland & Bricogne (1994 ) collected electron-diffraction intensities from a beam-sensitive dione and constructed a 1.4 Å Fourier map by a direct method based on maximum entropy. Large numbers of electron-diffraction intensities have been collected from biological molecules crystallized in membranes. The structure amplitudes can be combined with phases extracted from high-resolution micrographs, following Henderson Unwin's (1975 ) early work. Kühlbrandt, Wang & Fujiyoshi (1994 ) collected about 18 000 amplitudes and 15 000 phases for a protein complex in an electron cryomicroscope operating at 4.2 K (Fujiyoshi et al., 1991 ). Using these data, they determined the structure from a three-dimensional Fourier map calculated to 3.4 Å resolution. The assumption of kinematical scattering in such studies has been investigated by Spargo (1994 ), who found the amplitudes to be kinematic within 4% but with somewhat larger deviations for phases.

For inorganic structures, spot-pattern intensities are less useful because of the stronger dynamical interactions, especially in dense zones. Nevertheless, it may be possible to derive a structure and refine parameters from spot-pattern intensities. Andersson (1975 ) used experimental intensities from selected projections for comparison with dynamical calculations, including an empirical correction factor for orientation spread, in a structure determination of V₁₄O₈. Recently, Zou, Sukharev & Hovmöller (1993 ) combined spot-pattern intensities read from film by the program ELD with image processing of high-resolution micrographs for structure determination of a complex perovskite.

A considerable improvement over the spot pattern has been obtained by the elegant double-precession technique devised by Vincent & Midgley (1994 ). They programmed scanning coils above and below the specimen in the electron microscope so as to achieve simultaneous precession of the focused incident beam and the diffraction pattern around the optical axis. The net effect is equivalent to a precession of the specimen with a stationary incident beam. Integrated intensities can be obtained from reflections out to a Bragg angle $[\theta]$ equal to the precession angle $[\varphi]$ for the zeroth Laue zone. In addition, reflections in the first and second Laue zones appear as broad concentric rings. Dynamical effects are reduced appreciably by this procedure, especially in the non-zero Laue zones. The experimental integrated intensities, I_g, must be multiplied with a geometrical factor analogous to the Lorentz factor in X-ray diffraction, viz $[I_g=I_G^{\rm exp}\sin \varepsilon; \quad \cos \varepsilon ={{(g^2 -2nkh)}\over {2k\phi g}}, \eqno (4.3.7.1)]$ where nh is the reciprocal spacing between the zeroth and nth layers. The intensities can be used for structure determination by procedures taken over from X-ray crystallography, e.g. the conditional Patterson projections that are used by the Bristol group (Vincent, Bird & Steeds, 1984 ). The precession method may be seen as intermediate between the spot pattern and the CBED technique. Another intermediate approach was proposed by Goodman (1976 ) and used later by Olsen, Goodman & Whitfield (1985 ) in the structure determination of a series of selenides. CBED patterns from thin crystals were taken in dense zones; intensities were measured at corresponding points in the discs, e.g. at the zone-axis position. Structure parameters were determined by fitting the observed intensities to dynamical calculations.

Higher precision and more direct comparisons with dynamical scattering calculations are achieved by measurements of intensity distributions within the CBED discs, i.e. one- or two-dimensional rocking curves. An up-to-date review of these techniques is found in the recent book by Spence & Zuo (1992 ), where all aspects of the CBED technique, theory and applications are covered, including determination of lattice constants and strains, crystal symmetry, and fault vectors of defects. Refinement of structure factors in crystals with small unit cells are treated in detail. For determination of bond charges, the structure factors (Fourier potentials) should be determined to an accuracy of a few tenths of a percent; calculations must then be based on many-beam dynamical scattering theory, see Chapter 8.8 . Removal of the inelastic background by an energy filter will improve the data considerably; analytical expressions for the inelastic background including multiple-scattering contributions may be an alternative (Marthinsen, Holmestad & Høier, 1994 ).

Early CBED applications to the determination of structure factors were based on features that can be related to dynamical effects in the two-beam case. Although insufficient for most accurate analyses, the two-beam expression for the intensity profile may be a useful guide. In its standard form, $[I_g(s)={{(U_g/k)^2}\over {s_g^2+(U_g/k)^2}}\;\sin ^2\left [\pi t\sqrt {s_g^2+(U_g/k)^2}\right] ,\eqno (4.3.7.2)]$ where U_g and s_g are Fourier potential and excitation error for the reflection g, k wave number and t thickness. The expression can be rewritten in terms of the eigenvalues γ^{(i, j)} that correspond to the two Bloch-wave branches, i, j: $[I_g^{i,\,j}(s_g)={{(U_g/k)^2}\over {(\gamma ^{(i)}-\gamma ^{(\,j)})}^2}\,\sin ^2[\pi t(\gamma ^{(i)}-\gamma ^{(\,j)})],\eqno (4.3.7.3)]$ where $[\gamma ^{i,\,j}=\textstyle {1\over 2}\left [s_g^2\pm \sqrt {s_g^2+(U_g/k)^2}\;\right] .]$ Note that the minimum separation between the branches i, j or the gap at the dispersion surface is $[(\gamma ^{(\,j)}-\gamma ^{(i)})_{\rm min}=U_g/k=1/\xi _g,\eqno (4.3.7.4)]$ where $[\xi]$ _g is an extinction distance. The two-beam form is often found to be a good approximation to an intensity profile I_g(s_g) even when other beams are excited, provided an effective potential $[U_g^{\rm eff}]$ , which corresponds to the gap at the dispersion surface, is substituted for U_g. This is suggested by many features in CBED and Kikuchi patterns and borne out by detailed calculations, see e.g. Høier (1972 ). Approximate expressions for $[U_g^{\rm eff}]$ have been developed along different lines; the best known is the Bethe potential $[U_g^{\rm eff} =U_g - \sum _h {{U_{g-h}U_h}\over {2ks_h}}.\eqno (4.3.7.5)]$ Other perturbation approaches are based on scattering between Bloch waves, in analogy with the `interband scattering' introduced by Howie (1963 ) for diffuse scattering; the term `Bloch-wave hybridization' was introduced by Buxton (1976 ). Exact treatment of symmetrical few-beam cases is possible (see Fukuhara, 1966 ; Kogiso & Takahashi, 1977 ). The three-beam case (Kambe, 1957 ; Gjønnes & Høier, 1971 ) is described in detail in the book by Spence & Zuo (1992 ).

Many intensity features can be related to the structure of the dispersion surface, as represented by the function γ(k_x, k_y). The gap [equation (4.3.7.4)] is an important parameter, as in the four-beam symmetrical case in Fig. 4.3.7.1 . Intensity measurements along one dimension can then be referred to three groups, according to the width of the gap, viz:

small gap – integrated intensity;

Figure 4.3.7.1| top | pdf |

(a) Dispersion-surface section for the symmetric four-beam case (0, g, g + h, m), γk is a function of k_x, referred to (b), where k_x = k_y = 0 corresponds to the exact Bragg condition for all three reflections. The two gaps appear at s_g = ±(U_h − U_m)/k with widths (U_g ± U_{g + h})/k.

large gap – rocking curve, thickness fringes;
zero gap – critical effects.

A small gap at the dispersion surface implies that the two-beam-like rocking curve above approaches a kinematical form and can be represented by an integrated intensity. Within a certain thickness range, this intensity may be proportional to $[|U^{\rm eff}_g|^2]$ , with an angular width inversely proportional to gt. Several schemes have been proposed for measurement of relative integrated intensities for reflections in the outer, high-angle region, where the lines are narrow and can be easily separated from the background. Steeds (1984 ) proposed use of the HOLZ (high-order Laue-zone) lines, which appear in CBED patterns taken with the central disc at the zone-axis position. Along a ring that defines the first-order Laue zone (FOLZ ), reflections appear as segments that can be associated with scattering from strongly excited Bloch waves in the central ZOLZ part into the FOLZ reflections. Vincent, Bird & Steeds (1984 ) proposed an intensity expression $[I_g^{(\,j)}\propto |\varepsilon ^{(\,j)}\beta _g^{(\,j)}|^2\exp (-2\mu t){{1 - \exp [-2(\mu ^{(\,j)}-\mu)t]}\over {2(\mu ^{(\,j)}-\mu)}}\eqno (4.3.7.6)]$ for integrated intensity for a line segment associated with scattering from (or into) the ZOLZ Bloch wave j. $[\varepsilon^{(\,j)}]$ is here the excitation coefficient and β^(j) the matrix element for scattering between the Bloch wave j and the plane wave g. μ^(j) and μ are absorption coefficients for the Bloch wave and plane wave, respectively; t is the thickness. From measurements of a number of such FOLZ (or SOLZ) reflections, they were able to carry out ab initio structure determinations using so-called conditional Patterson projections and coordinate refinement. Tanaka & Tsuda (1990 ) have refined atomic positions from zone-axis HOLZ intensities. Ratios between HOLZ intensities have been used for determination of the Debye–Waller factor (Holmestad, Weickenmeier, Zuo, Spence & Horita, 1993 ).

Another CBED approach to integrated intensities is due to Taftø & Metzger (1985 ). They measured a set of high-order reflections along a systematic row with a wide-aperture CBED tilted off symmetrical incidence. A number of high-order reflections are then simultaneously excited in a range where the reflections are narrow and do not overlap. Gjønnes & Bøe (1994 ) and Ma, Rømming, Lebech & Gjønnes (1992 ) applied the technique to the refinement of coordinates and thermal parameters in high-T_c superconductors and intermetallic compounds. The validity and limitation of the kinematical approximation and dynamic potentials in this case has been discussed by Gjønnes & Bøe (1994 ).

Zero gap at the dispersion surface corresponds to zero effective Fourier potential or, to be more exact, an accidental degeneracy, γ⁽ⁱ⁾ = γ^(j), in the Bloch-wave solution. This is the basis for the critical-voltage method first shown by Watanabe, Uyeda & Fukuhara (1969 ). From vanishing contrast of the Kikuchi line corresponding to a second-order reflection 2g, they determined a relation between the structure factors U_g and U_2g. Gjønnes & Høier (1971 ) derived the condition for the accidental degeneracy in the general centrosymmetrical three-beam case 0,g,h, expressed in terms of the excitation errors s_g,h and Fourier potentials U_g,h,g−h, viz $[2ks_g={{U_g(U_h^2 - U_{g-h}^2)m}\over {U_hU_{g-h}m_0}}; \quad 2ks_h={{U_h(U_g^2 - U_{g-h}^2)m}\over {U_gU_{g-h}m_0}};\eqno (4.3.7.7)]$ where m and m₀ are the relativistic and rest mass of the incident electron. Experimentally, this condition is obtained at a particular voltage and diffraction condition as vanishing line contrast of a Kikuchi or Kossel line – or as a reversal of a contrast feature. The second-order critical-voltage effect is then obtained as a special case, e.g. by the mass ratio: $[(m/m_0)_{\rm crit}={{U_{2h}h^2}\over {U_h^2 - U_{2h}^2}}. \eqno (4.3.7.8)]$ Measurements have been carried out for a number of elements and alloy phases; see the review by Fox & Fisher (1988 ) and later work on alloys by Fox & Tabbernor (1991 ). Zone-axis critical voltages have been used by Matsuhata & Steeds (1987 ). For analytical expressions and experimental determination of non-systematic critical voltages, see Matsuhata & Gjønnes (1994 ).

Large gaps at the dispersion surface are associated with strong inner reflections – and a strong dynamical effect of two-beam-like character. The absolute magnitude of the gap – or its inverse, the extinction distance – can be obtained in different ways. Early measurements were based on the split of diffraction spots from a wedge, see Lehmpfuhl (1974 ), or the corresponding fringe periods measured in bright- and dark-field micrographs (Ando, Ichimiya & Uyeda, 1974 ). The most precise and applicable large-gap methods are based on the refinement of the fringe pattern in CBED discs from strong reflections, as developed by Goodman & Lehmpfuhl (1967 ) and Voss, Lehmpfuhl & Smith (1980 ). In recent years, this technique has been developed to high perfection by means of filtered CBED patterns, see Spence & Zuo (1992 ) and papers referred to therein. See also Chapter 8.8 .

The gap at the dispersion surface can also be obtained directly from the split observed at the crossing of a weak Kikuchi line with a strong band. Gjønnes & Høier (1971 ) showed how this can be used to determine strong low-order reflections. High voltage may improve the accuracy (Terasaki, Watanabe & Gjønnes, 1979 ). The sensitivity of the intersecting Kikuchi-line (IKL) method was further increased by the use of CBED instead of Kikuchi patterns (Matsuhata, Tomokiyo, Watanabe & Eguchi, 1984 ; Taftø & Gjønnes, 1985 ). In a recent development, Høier, Bakken, Marthinsen & Holmestad (1993 ) have measured the intensity distribution in the CBED discs around such intersections and have refined the main structure factors involved.

Two-dimensional rocking curves collected by CBED patterns around the axis of a dense zone are complicated by extensive many-beam dynamical interactions. The Bristol–Bath group (Saunders, Bird, Midgley & Vincent, 1994 ) claim that the strong dynamic effects can be exploited to yield high sensitivity in refinement of low-order structure factors. They have also developed procedures for ab initio structure determination based on zone-axis patterns (Bird & Saunders, 1992 ), see Chapter 8.8 .

Determination of phase invariants. It has been known for some time (e.g. Kambe, 1957 ) that the dynamical three-beam case contains information about phase. As in the X-ray case, measurement of dynamical effects can be used to determine the value of triplets (Zuo, Høier & Spence, 1989 ) and to determine phase angles to better than one tenth of a degree (Zuo, Spence, Downs & Mayer, 1993 ) which is far better than any X-ray method. Bird (1990 ) has pointed out that the phase of the absorption potential may differ from the phase of the real potential.

Thickness is an important parameter in electron-diffraction experiments. In structure-factor determination based on CBED patterns, thickness is often included in the refinement. Thickness can also be determined directly from profiles connected with large gaps at the dispersion surface (Goodman & Lehmpfuhl, 1967 ; Blake, Jostsons, Kelly & Napier, 1978 ; Glazer, Ramesh, Hilton, & Sarikaya, 1985 ). The method is based on the outer part of the fringe profile, which is not so sensitive to the structure factor. The intensity minimum of the ith fringe in the diffracted disc occurs at a position corresponding to the excitation error s_i and expressed as $[(s_i^2+1/\varepsilon _g^2)t^2=n_i^2,\eqno (4.3.7.9)]$ where n_i is a small integer describing the order of the minimum. This equation can be arranged in two ways for graphic determination of thickness. The commonest method appears to be to plot (s_i/n_i)² against 1/n_i²and then determine the thickness from the intersection with the ordinate axis (Kelly, Jostsons, Blake & Napier, 1975 ). Glazer et al. (1985 ) claim that the method originally proposed by Ackermann (1948 ), where [s_i^2] is plotted against n_i and the thickness is taken from the slope, is more accurate. In both cases, the outer part of the rocking curve is emphasized; exact knowledge of the gap is not necessary for a good determination of thickness , provided the assumption of a two-beam-like rocking curve is valid.

4.3.8. Crystal structure determination by high-resolution electron microscopy

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J. C. H. Spence^l and J. M. Cowley^b ^‡

4.3.8.1. Introduction

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For the crystallographic study of real materials, high-resolution electron microscopy (HREM) can provide a great deal of information that is complementary to that obtainable by X-ray and neutron diffraction methods. In contrast to the statistically averaged information that these other methods provide, the great power of HREM lies in its ability to elucidate the detailed atomic arrangements of individual defects and the microcrystalline structure in real crystals. The defects and inhomogeneities of real crystals frequently exert a controlling influence on phase-transition mechanisms and more generally on all the electrical, mechanical, and thermal properties of solids. The real-space images that HREM provides (such as that shown in Fig. 4.3.8.1 ) can give an immediate and dramatic impression of chemical crystallography processes, unobtainable by other methods. Their atomic structure is of the utmost importance for an understanding of the properties of real materials. The HREM method has proven powerful for the determination of the structure of such defects and of the submicrometre-sized microcrystals that constitute many polyphase materials.

Figure 4.3.8.1| top | pdf |

Atomic resolution image of a tantalum-doped tungsten trioxide crystal (pseudo-cubic structure) showing extended crystallographic shear-plane defects (C), pentagonal-column hexagonal-tunnel (PCHT) defects (T), and metallization of the surface due to oxygen desorption (JEOL 4000EX, crystal thickness less than 200 Å, 400 kV, C_s = 1 mm). Atomic columns are black. [Smith, Bursill & Wood (1985 ).]

In summary, HREM should be considered the technique of choice where a knowledge of microcrystal size, shape or morphology is required. In addition, it can be used to reveal the presence of line and planar defects, inclusions, grain boundaries and phase boundaries, and, in favourable cases, to determine atomic structure. Surface atomic structure and reconstruction have also been studied by HREM. However, meaningful results in this field require accurately controlled ultra-high-vacuum conditions. The determination of the atomic structure of point defects by HREM so far has proven extremely difficult, but this situation is likely to change in the near future.

The following sections are not intended to review the applications of HREM, but rather to provide a summary of the main theoretical results of proven usefulness in the field, a selected bibliography, and recommendations for good experimental practice. At the time of writing (1997), the point resolution of HREM machines lies between 1 and 2 Å.

The function of the objective lens in an electron microscope is to perform a Fourier synthesis of the Bragg-diffracted electron beams scattered (in transmission) by a thin crystal, in order to produce a real-space electron image in the plane r. This electron image intensity can be written $[|\psi({\bf r})|{}^2=\big|\textstyle\int\Psi({\bf u})\exp\{2\pi i {\bf u\cdot r}\}P({\bf u})\exp\{i\chi({\bf u})\}\,{\rm d}{\bf u}\big|^2, \eqno (4.3.8.1)]$ where $[\Psi({\bf u})]$ represents the complex amplitude of the diffracted wave after diffraction in the crystal as a function of the reciprocal-lattice vector u [magnitude $[(2\sin\theta)/\lambda]]$ in the plane perpendicular to the beam, so that the wavevector of an incident plane wave is written $[{\bf K}_0={\bf k}_z+2\pi{\bf u}]$ . Following the convention of Section 2.5.2 in IT B (2001 ), we write $[|{\bf K}_0|=2\pi\lambda^{-1}]$ . The function χ(u) is the phase factor for the objective-lens transfer function and P(u) describes the effect of the objective aperture: $[P({\bf u}) =\cases{1 \quad\hbox{for }|{\bf u}|\lt u_0 \cr0 \quad\hbox{for }|{\bf u}|\ge u_0.}]$

For a periodic object, the image wavefunction is given by summing the contributions from the set of reciprocal-lattice points, g, so that $[|\psi({\bf r})|{}^2=\bigg|\textstyle\sum\limits_{\bf g}\Psi_{\bf g}\exp\{2\pi i{\bf g\cdot r}\}P({\bf g})\exp\{i\chi({\bf g})\}\bigg|^2. \eqno (4.3.8.2)]$ For atomic resolution, with $[u_0\approx]$ 1 Å⁻¹, it is apparent that, for all but the simplest structures and smallest unit cells, this synthesis will involve many hundreds of Bragg beams. A scattering calculation must involve an even larger number of beams than those that contribute resolvable detail to the image, since, as described in Section 2.5.2 in IT B (2001 ), all beams interact strongly through multiple coherent scattering. The theoretical basis for HREM image interpretation is therefore the dynamical theory of electron diffraction in the transmission (or Laue) geometry [see Chapter 5.2 in IT B (2001 )]. The resolution of HREM images is limited by the aberrations of the objective electron lens (notably spherical aberration) and by electronic instabilities. An intuitive understanding of the complicated effect of these factors on image formation from multiply scattered Bragg beams is generally not possible. To provide a basis for understanding, therefore, the following section treats the simplified case of few-beam `lattice-fringe' images, in order to expose the relationship between the crystal potential, its structure factors, electron-lens aberrations, and the electron image.

Image formation in the transmission electron microscope is conventionally treated by analogy with the Abbe theory of coherent optical imaging. The overall process is subdivided as follows. (a) The problem of beam–specimen interaction for a collimated kilovolt electron beam traversing a thin parallel-sided slab of crystal in a given orientation. The solution to this problem gives the elastically scattered dynamical electron wavefunction $[\psi({\bf r})]$ , where r is a two-dimensional vector lying in the downstream surface of the slab. Computer algorithms for dynamical scattering are described in Section 4.3.6 . (b) The effects of the objective lens are incorporated by multiplying the Fourier transform of $[\psi({\bf r})]$ by a function T(u), which describes both the wavefront aberration of the lens and the diffraction-limiting effects of any apertures. The dominant aberrations are spherical aberration, astigmatism, and defect of focus. The image intensity is then formed from the modulus squared of the Fourier transform of this product. (c) All partial coherence effects may be incorporated by repeating this procedure for each of the component energies and directions that make up the illumination from an extended electron source, and summing the resulting intensities. Because this procedure requires a separate dynamical calculation for each component direction of the incident beam, a number of useful approximations of restricted validity have been developed; these are described in Subsection 4.3.8.4 . This treatment of partial coherence assumes that a perfectly incoherent effective source can be identified. For field-emission HREM instruments, a coherent sum (over directions) of complex image wavefunctions may be required.

General treatments of the subject of HREM can be found in the texts by Cowley (1981 ) and Spence (1988b ). The sign conventions used throughout the following are consistent with the standard crystallographic convention of Section 2.5.2 of IT B (2001 ), which assumes a plane wave of form $[\exp\{-i({\bf k\cdot r}-\omega t)\}]$ and so is consistent with X-ray usage.

4.3.8.2. Lattice-fringe images

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We consider few-beam lattice images, in order to understand the effects of instrumental factors on electron images, and to expose the conditions under which they faithfully represent the scattering object. The case of two-beam lattice images is instructive and contains, in simplified form, most of the features seen in more complicated many-beam images. These fringes were first observed by Menter (1956 ) and further studied in the pioneering work of Komoda (1964 ) and others [see Spence (1988b ) for references to early work]. The electron-microscope optic-axis orientation, the electron beam, and the crystal setting are indicated in Fig. 4.3.8.2 . If an objective aperture is used that excludes all but the two beams shown from contributing to the image, equation (4.3.8.2) gives the image intensity along direction g for a centrosymmetric crystal of thickness t as $[\eqalignno{ I(x,t) &=|\Psi_0(t)|^2+|\Psi_{\bf g}(t)|^2 \cr &\quad +2|\Psi_0||\Psi_{\bf g}|\cos\{2\pi x/d_{\bf g}+\chi(u_{\bf g})\eta_{\bf g}(t)-\eta_0(t)\}. & (4.3.8.3)}]$

Figure 4.3.8.2| top | pdf |

Imaging conditions for few-beam lattice images. For three-beam axial imaging shown in (c), the formation of half-period fringes is also shown.

The Bragg-diffracted beams have complex amplitudes $[\Psi_{\bf g}(t)=|\Psi_{\bf g}(t)|\exp\{i\eta_{\bf g}(t)\}]$ . The lattice-plane period is $[d_{\bf g}]$ in direction g [Miller indices (hkl)]. The lens-aberration phase function, including only the effects of defocus Δf and spherical aberration (coefficient [C_s] ), is given by $[\chi(u_{\bf g})=(2\pi/\lambda)\{(\Delta f\lambda^2u^2_{\bf g}/2)+C_s\lambda^4u^4_{\bf g}/4\}. \eqno (4.3.8.4)]$ The effects of astigmatism and higher-order aberrations have been ignored. The defocus, Δf, is negative for the objective lens weakened (i.e. the focal length increased, giving a bright first Fresnel-edge fringe). The magnitude of the reciprocal-lattice vector $[u_g=d_g^{-1}=(2\sin\theta_B)/\lambda]$ , where $[\theta_B]$ is the Bragg angle. If these two Bragg beams were the only beams excited in the crystal (a poor approximation for quantitative work), their amplitudes would be given by the `two-beam' dynamical theory of electron diffraction as $[\eqalignno{ \Psi_0(t) &=\{\cos[\pi t(1+w^2)^{1/2}/\xi_{\bf g}]+iw(1+w^2)^{-1/2} \cr &\quad \times\sin[\pi t(1+w^2)^{1/2}/\xi_{\bf g}]\}\exp(-i\pi s_{\bf g} t) \cr \Psi_{\bf g}(t) &= i(1+w^2)^{-1/2}\sin[\pi t(1+w^2)^{1/2}/\xi_{\bf g}] \cr&\quad\times \exp(-\pi is_{\bf g} t), &(4.3.8.5)}]$ where $[\xi_{\bf g}]$ is the two-beam extinction distance, $[V_{\bf g}=\pi/(\sigma\xi_{\bf g})]$ is a Fourier coefficient of crystal potential, $[s_{\bf g}]$ is the excitation error (see Fig. 4.3.8.2 ), $[w=s_{\bf g}\xi_{\bf g}]$ , and the interaction parameter σ is defined in Section 2.5.2 of IT B (2001 ).

The two-beam image intensity given by equation (4.3.8.3) therefore depends on the parameters of crystal thickness (t), orientation $[(s_{\bf g})]$ , structure factor $[(V_{\bf g})]$ , objective-lens defocus Δf, and spherical-aberration constant [C_s] . We consider first the variation of lattice fringes with crystal thickness in the two-beam approximation (Cowley, 1959 ; Hashimoto, Mannami & Naiki, 1961 ). At the exact Bragg condition $[(s_{\bf g}=0)]$ , equations (4.3.8.5) and (4.3.8.3) give $[I(x,t)=1-\sin(2\pi t/\xi_{\bf g})\sin[2\pi x/d+\chi(u_{\bf g})]. \eqno (4.3.8.6)]$ If we consider a wedge-shaped crystal with the electron beam approximately normal to the wedge surface and edge, and take x and g parallel to the edge, this equation shows that sinusoidal lattice fringes are expected whose contrast falls to zero (and reverses sign) at thicknesses of $[t_n=n\xi_{\bf g}/2]$ . This apparent abrupt translation of fringes (by d/2 in the direction x) at particular thicknesses is also seen in some experimental many-beam images. The effect of changes in focus (due perhaps to variations in lens current) is seen to result in a translation of the fringes (in direction x), while time-dependent variations in the accelerating voltage have a similar effect. Hence, time-dependent variations of the lens focal length or the accelerating voltage result in reduced image contrast (see below). If the illumination makes a small angle $[\alpha=\lambda u']$ with the optic axis, the intensity becomes $[\eqalign{ I(x,\alpha)&=|\Psi_0|^2+|\Psi_{\bf g}|^2+2|\Psi_{\bf g}||\Psi_0| \cr &\quad\times\cos[\chi(-u_{\bf g}-u')-\chi(u')+2\pi x/d+\eta_{\bf g}(t)-\eta_0(t)].}]$ For a uniformly intense line source subtending a semiangle $[\theta_c]$ , the total lattice-fringe intensity is $[I(x)=(1/\theta_c)\textstyle\int I(x,\alpha)\,{\rm d}\alpha.]$ The resulting fringe visibility $[C=(I_{\rm max}-I_{\rm min})/(I_{\rm max}+I_{\rm min})]$ is proportional to $[C=(\sin\beta)/\beta]$ , where $[\beta=2\pi\Delta f\theta_c/d]$ . The contrast falls to zero for β = π, so that the range of focus over which fringes are expected is $[\Delta z=d/\theta_c]$ . This is the approximate depth of field for lattice images due to the effects of the finite source size alone.

The case of three-beam fringes in the axial orientation is of more practical importance [see Fig. 4.3.8.2(b)]. The image intensity for $[\Psi_{\bf g}=\Psi _{-{\bf g}}]$ and $[s_{\bf g}=s_{-{\bf g}}]$ is $[\eqalignno{ I(x,t)&=|\Psi_0|^2+2|\Psi_{\bf g}|^2+2|\Psi_{\bf g}|^2\cos(4\pi x/d) \cr &\quad+4|\Psi_0||\Psi_{\bf g}|\cos(2\pi x/d) \cr &\quad\times\cos[\chi(u_{\bf g})+\eta_{\bf g}(t)-\eta_0(t)]. &(4.3.8.7)}]$ The lattice image is seen to consist of a constant background plus cosine fringes with the lattice spacing, together with cosine fringes of half this spacing. The contribution of the half-spacing fringes is independent of instrumental parameters (and therefore of electronic instabilities if $[\theta_c=0]$ ). These fringes constitute an important HREM image artifact. For kinematic scattering, $[\eta_{\bf g}(t)-\eta_0(t)=-\pi/2]$ and only the half-period fringes will then be seen if $[\chi(u_{\bf g})=n\pi]$ , or for focus settings $[\Delta f=n\lambda^{-1}u^{-2}_{\bf g}-C_s\lambda^2u^2_{\bf g}/2. \eqno (4.3.8.8)]$ Fig. 4.3.8.2(c) indicates the form of the fringes expected for two focus settings with differing half-period contributions. As in the case of two-beam fringes, dynamical scattering may cause $[\Psi_0]$ to be severely attenuated at certain thicknesses, resulting also in a strong half-period contribution to the image.

Changes of 2π in $[\chi(u_{\bf g})]$ in equation (4.3.8.7) leave I(x, t) unchanged. Thus, changes of defocus by amounts $[\Delta f_f=2n/(\lambda u^2_{\bf g}) \eqno (4.3.8.9)]$ or changes in [C_s] by $[\Delta C_s=4n/(\lambda^3u^4_{\bf g}) \eqno (4.3.8.10)]$ yield identical images. The images are thus periodic in both Δf and [C_s] . This is a restricted example of the more general phenomenon of n-beam Fourier imaging discussed in Subsection 4.3.8.3 .

We note that only a single Fourier period will be seen if $[\Delta f_f]$ is less than the depth of field Δz. This leads to the approximate condition $[\Theta_c\gt\lambda/d]$ , which, when combined with the Bragg law, indicates that a single period only of images will be seen when adjacent diffraction discs just overlap.

The axial three-beam fringes will coincide with the lattice planes, and show atom positions as dark if $[\chi(u_{\bf g})=(2n-1/2)\pi]$ and $[\eta_0(t)-\eta_{\bf g}(t)=-\pi/2]$ . This total phase shift of −π between $[\Psi_0]$ and the scattered beams is the desirable imaging condition for phase contrast, giving rise to dark atom positions on a bright background. This requires $[C_s=(4n-1)/(\lambda^3u^4_{\bf g})-2\Delta f/(\lambda^2u^2_{\bf g})]$ as a condition for identical axial three-beam lattice images for $[n=0,1,2,\ldots]$ . This family of lines has been plotted in Fig. 4.3.8.3 for the (111) planes of silicon. Dashed lines denote the locus of `white-atom' images (reversed contrast fringes), while the dotted lines indicate half-period images. In practice, the depth of field is limited by the finite illumination aperture $[\theta_c]$ , and few-beam lattice-image contrast will be a maximum at the stationary-phase focus setting, given by $[\Delta f_0=-C_s\lambda^2u^2_{\bf g}. \eqno (4.3.8.11)]$

Figure 4.3.8.3| top | pdf |

A summary of three- (or five-) beam axial imaging conditions. Here, Δf_f is the Fourier image period, Δ f₀ the stationary-phase focus, C_s(0) the image period in C_s, and a scattering phase of −π/2 is assumed. The lines are drawn for the (111) planes of silicon at 100 kV with θ_c = 1.4 mrad.

This choice of focus ensures $[\nabla\chi(u)=0]$ for $[u=u_{\bf g}]$ , and thus ensures the most favourable trade-off between increasing $[\theta_c]$ and loss of fringe contrast for lattice planes g. Note that $[\Delta f_0]$ is not equal to the Scherzer focus $[\Delta f_s]$ (see below). This focus setting is also indicated on Fig. 4.3.8.3 , and indicates the instrumental conditions which produce the most intense (111) three- (or five-) beam axial fringes in silicon. For three-beam axial fringes of spacing d, it can be shown that the depth of field $[\Delta z]$ is approximately $[\Delta z=(\ln2)^{1/2}d/\theta_c\pi. \eqno (4.3.8.12)]$ This depth of field, within which strong fringes will be seen, is indicated as a boundary on Fig. 4.3.8.3 . Thus, the finer the image detail, the smaller is the focal range over which it may be observed, for a given illumination aperture $[\theta_c]$ .

Fig. 4.3.8.4 shows an exact dynamical calculation for the contrast of three-beam axial fringes as a function of Δf in the neighbourhood of $[\Delta f_0]$ . Both reversed contrast and half-period fringes are noted. The effects of electronic instabilities on lattice images are discussed in Subsection 4.3.8.3 . It is assumed above that $[\theta_c]$ is sufficiently small to allow the neglect of any changes in diffraction conditions (Ewald-sphere orientation) within $[\Theta_c]$ . Under a similar approximation but without the approximations of transfer theory, Desseaux, Renault & Bourret (1977 ) have analysed the effect of beam divergence on two-dimensional five-beam axial lattice fringes.

Figure 4.3.8.4| top | pdf |

The contrast of few-beam lattice images as a function of focus in the neighbourhood of the stationary-phase focus [see Olsen & Spence (1981 )].

When two-dimensional patterns of fringes are considered, the Fourier imaging conditions become more complex (see Subsection 4.3.8.3 ), but half-period fringe systems and reversed-contrast images are still seen. For example, in a cubic projection, a focus change of $[\Delta f_f/2]$ results in an image shifted by half a unit cell along the cell diagonal. It is readily shown that $[\exp[i\chi(\Delta\,f)]=\exp[i\chi(\Delta\, f+\Delta\, f_f)]]$ if $[\Delta f_f=2na^2/\lambda+2mb^2/\lambda]$ when n, m are integers and a and b are the two dimensions of any orthogonal unit cell that can be chosen for $[\Psi_p(x,y)]$ . Thus, changes in focus by $[\Delta f_f(n,m)]$ produce identical images in crystals for which such a cell can be chosen, regardless of the number of beams contributing (Cowley & Moodie, 1960 ).

For closed-form expressions for the few-beam (up to 10 beams) two-dimensional dynamical Bragg-beam amplitudes $[\Psi_{\bf g}]$ in orientations of high symmetry, the reader is referred to the work of Fukuhara (1966 ).

4.3.8.3. Crystal structure images

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We define a crystal structure image as a high-resolution electron micrograph that faithfully represents a projection of a crystal structure to some limited resolution, and which was obtained using instrumental conditions that are independent of the structure, and so require no a priori knowledge of the structure. The resolution of these images is discussed in Subsection 4.3.8.6 , and their variation with instrumental parameters in Subsection 4.3.8.4 .

Equation (4.3.8.2) must now be modified to take account of the finite electron source size used and of the effects of the range of energies present in the electron beam. For a perfect crystal we may write, as in equation (2.5.2.36) in IT B (2001 ), $[I_T({\bf r})=\textstyle\int\!\!\int|\psi({\bf u}',\Delta f,{\bf r})|^2 G({\bf u}') B(\Delta f,{\bf u}')\,{\rm d}{\bf u}'{\rm d}\Delta f \eqno (4.3.8.13a)]$ for the total image intensity due to an electron source whose normalized distribution of wavevectors is $[G({\bf u}')]$ , where $[{\bf u}']$ has components [u_1,v_1] , and which extends over a range of energies corresponding to the distribution of focus $[B(\Delta f,{\bf u})]$ . If χ is also assumed to vary linearly across $[\theta_c]$ and changes in the diffraction conditions over this range are assumed to make only negligible changes in the diffracted-beam amplitude $[\Psi_{\bf g}]$ , the expression for a Fourier coefficient of the total image intensity $[I_T({\bf r})]$ becomes $[\eqalignno{ I_{\bf g} &=\textstyle\sum\limits_{\bf h} \Psi_{\bf h}\exp\{-i\chi({\bf h})\}\gamma\{\nabla\chi({\bf h})-\nabla\chi({\bf h-g})\} \cr &\quad\times\psi^*_{\bf h-g}\exp\{i\chi({\bf h-g})\}\beta\{\textstyle{1\over2}({\bf h}^2-|{\bf h}-{\bf g}|^2)^2\}, \cr&&(4.3.8.13b)}]$ where γ(h) and β(g) are the Fourier transforms of $[G({\bf u}')]$ and $[B(\Delta f,{\bf u}')]$ , respectively.

For the imaging of very thin crystals, and particularly for the case of defects in crystals, which are frequently the objects of particular interest, we give here some useful approximations for HREM structure images in terms of the continuous projected crystal potential $[\varphi(x,y)=(1/t)\textstyle\int\limits^t_0 \varphi(x,y,z)\,{\rm d} z,]$ where the projection is taken in the electron-beam direction. A brief summary of the use of these approximations is included in Section 2.5.2 of IT B (2001 ) and computing methods are discussed in Subsection 4.3.8.5 and Section 4.3.4 .

The projected-charge-density (PCD) approximation (Cowley & Moodie, 1960 ) gives the HREM image intensity (for the simplified case where [C_s=0] ) as $[I(x,y)=1+(\Delta f\lambda\sigma/2\pi \varepsilon_0\varepsilon)\rho_p(x,y), \eqno (4.3.8.13c)]$ where $[\rho_p(x,y)]$ is the projected charge density for the specimen (including the nuclear contribution) and is related to $[\varphi_p(x,y)]$ through Poisson's equation. Here, $[\varepsilon_0\varepsilon]$ is the specimen dielectric constant. This approximation, unlike the weak-phase-object approximation (WPO), includes multiple scattering to all orders of the Born series, within the approximation that the component of the scattering vector is zero in the beam direction (a `flat' Ewald sphere). Contrast is found to be proportional to defocus and to $[\rho_p(x,y)]$ . The failure conditions of this approximation are discussed by Lynch, Moodie & O'Keefe (1975 ); briefly, it fails for $[\chi(u_0)\gt\pi/2]$ (and hence if [C_s] , Δf or [u_0] becomes large) or for large thicknesses t (t $[\lt]$ 7 nm is suggested for specimens of medium atomic weight and λ = 0.037 Å). The PCD result becomes increasingly accurate with increasing accelerating voltage for small [C_s] .

The WPO approximation has been used extensively in combination with the Scherzer-focus condition (Scherzer, 1949 ) for the interpretation of structure images (Cowley & Iijima, 1972 ). This approximation neglects multiple scattering of the beam electron and thereby allows the application of the methods of linear transfer theory from optics. The image intensity is then given, for plane-wave illumination, by $[\eqalignno{ I(x,y) &=1+2\sigma\varphi_p(x,y)*{\cal F}\{\sin\chi(u,v)P(u,v)\} \cr &=1+2\sigma\varphi_p(x,y)* S(x,y), & (4.3.8.14)}]$ where $[\cal F]$ denotes Fourier transform, * denotes convolution, and u and v are orthogonal components of the two-dimensional scattering vector u. The function S(x, y) is sharply peaked and negative at the `Scherzer focus' $[\Delta f = \Delta f_s=1.2(C_s\lambda)^{1/2} \eqno (4.3.8.15a)]$ and the optimum objective aperture size $[\theta_0=1.5(\lambda/C_s)^{1/4}. \eqno (4.3.8.15b)]$ It forms the impulse response of an electron microscope for phase contrast. Contrast is found to be proportional to $[\varphi_p]$ and to the interaction parameter σ, which increases very slowly with accelerating voltage above about 500 keV. The point resolution [see Subsection 2.5.2.9 of IT B (2001 ) and Subsection 4.3.8.6 ] is conventionally defined from equation (4.3.8.15b) as $[\lambda/\theta_0]$ , or $[d_p=0.66 \, C^{1/4}_s \lambda^{3/4}. \eqno (4.3.8.16)]$

The occurrence of appreciable multiple scattering, and therefore of the failure of the WPO approximation , depends on specimen thickness, orientation, and accelerating voltage. Detailed comparisons between accurate multiple-scattering calculations, the PCD approximation , and the WPO approximation can be found in Lynch, Moodie & O'Keefe (1975 ) and Jap & Glaeser (1978 ). As a very rough guide, equation (4.3.8.14) can be expected to fail for light elements at 100 keV and thicknesses greater than about 5.0 nm. Multiple-scattering effects have been predicted within single atoms of gold at 100 keV.

The WPO approximation may be extended to include the effects of an extended source (partial spatial coherence) and a range of incident electron-beam energies (temporal coherence). General methods for incorporating these effects in the presence of multiple scattering are described in Subsection 4.3.8.5 . Under the approximations of linear imaging outlined below, it can be shown (Wade & Frank, 1977 ; Fejes, 1977 ) that $[\sin\chi(u,v)P(u,v)]$ in equation (4.3.8.14) may be replaced by $[\eqalignno{\quad A'({\bf u}) &=P({\bf u})\exp[i\chi({\bf u})]\exp(-\pi^2\Delta^2\lambda^2{\bf u}^4/2)\gamma(\nabla\chi/2\pi) \cr &=P({\bf u})\exp[i\chi({\bf u})]\exp(i\pi^2\Delta^2\lambda^2{\bf u}^4/2) \exp(-\pi^2u^2_0q)\cr & &(4.3.8.17)}]$ if astigmatism is absent. Here, $[{\bf u}=u{\bf i}+v{\bf j}]$ and $[|{\bf u}|=2\theta/\lambda=(u^2+v^2)^{1/2}]$ . In addition, $[\gamma({\bf u}')]$ is the Fourier transform of the source intensity distribution (assumed Gaussian), so that $[\gamma(\nabla\chi/2\pi)]$ is small in regions where the slope of $[\chi({\bf u}')]$ is large, resulting in severe attenuation of these spatial frequencies. If the illuminating beam divergence $[\Theta_c]$ is chosen as the angular half width for which the distribution of source intensity falls to half its maximum value, then $[\theta_c=\lambda u_0(\ln2)^{1/2}. \eqno (4.3.8.18)]$ The quantity q is defined by $[q=(C_s\lambda^3{\bf u}^3+\Delta f\lambda{\bf u})^2+T2,]$ where T2 expresses a coupling between the effects of partial spatial coherence and temporal coherence. This term can frequently be neglected under HREM conditions [see Wade & Frank (1977 ) for details]. The damping envelope due to chromatic effects is described by the parameter $[\eqalignno{ \Delta= C_cQ &=C_c\left\{[\sigma^2(V_0)]/V^2_0+[4\sigma^{2}(I_0)]/I{^2_0}\right. \cr &\left.\quad+[\sigma^2(E_0)]/E{^2_0} \right\}^{1/2}, & (4.3.8.19)}]$ where $[\sigma^2(V_0)]$ and $[\sigma^2(I_0)]$ are the variances in the statistically independent fluctuations of accelerating voltage [V_0] and objective-lens current [I_0] . The r.m.s. value of the high voltage fluctuation is equal to the standard deviation $[\sigma(V_0)=[\sigma^2(V_0)]^{1/2}]$ . The full width at half-maximum height of the energy distribution of electrons leaving the filament is $[\Delta E=2(2\ln2)^{1/2}\sigma(E_0)=2.355[\sigma^2(E_0)]^{1/2}. \eqno (4.3.8.20)]$ Here, [C_c] is the chromatic aberration constant of the objective lens.

Equations (4.3.8.14) and (4.3.8.17) indicate that under linear imaging conditions the transfer function for HREM contains a chromatic damping envelope more severely attenuating than a Gaussian of width $[U_0(\Delta)=[2/\pi\lambda\Delta]^{1/2},]$ which is present in the absence of any objective aperture P(u). The resulting resolution limit $[d_i=[\pi\lambda\Delta/2]^{1/2} \eqno (4.3.8.21)]$ is known as the information resolution limit (see Subsection 4.3.8.6 ) and depends on electronic instabilities and the thermal-energy spread of electrons leaving the filament. The reduction in the contribution of particular diffracted beams to the image due to limited spatial coherence is minimized over those extended regions for which $[\nabla\chi({\bf u})]$ is small, called passbands, which occur when $[\Delta f_n=[C_s\lambda(8n+3)/2]^{1/2}. \eqno (4.3.8.22)]$ The Scherzer focus $[\Delta f_s]$ corresponds to n = 0. These passbands become narrower and move to higher u values with increasing n, but are subject also to chromatic damping effects. The passbands occur between spatial frequencies [U_1] and [U_2] , where $[U_{1,2}=C_s^{-1/4}\lambda^{-3/4}\{[(8n+2)/2]^{1/2}\pm1\}^{1/2}. \eqno (4.3.8.23)]$ Their use for extracting information beyond the point resolution of an electron microscope is further discussed in Subsection 4.3.8.6 .

Fig. 4.3.8.5 shows transfer functions for a modern instrument for n = 0 and 1. Equations (4.3.8.14) and (4.3.8.17) provide a simple, useful, and popular approach to the interpretation of HREM images and valuable insights into resolution-limiting factors. However, it must be emphasized that these results apply only (amongst other conditions) for $[\Phi_0\gg\Phi_{\bf g}]$ (in crystals) and therefore do not apply to the usual case of strong multiple electron scattering. Equation (4.3.8.13b) does not make this approximation. In real space, for crystals, the alignment of columns of atoms in the beam direction rapidly leads to phase changes in the electron wavefunction that exceed π/2, leading to the failure of equation (4.3.8.14). Accurate quantitative comparisons of experimental and simulated HREM images must be based on equation (4.3.8.13a), or possibly (4.3.8.13b), with $[\psi({\bf u}',\Delta f,{\bf r})]$ obtained from many-beam dynamical calculations of the type described in Subsection 4.3.8.5 .

Figure 4.3.8.5| top | pdf |

(a) The transfer function for a 400 kV electron microscope with a point resolution of 1.7 Å at the Scherzer focus; the curve is based on equation (4.3.8.17). In (b) is shown a transfer function for similar conditions at the first `passband' focus [n = 1 in equation (4.3.8.22)].

For the structure imaging of specific types of defects and materials, the following references are relevant. (i) For line defects viewed parallel to the line, d'Anterroches & Bourret (1984 ); viewed normal to the line, Alexander, Spence, Shindo, Gottschalk & Long (1986 ). (ii) For problems of variable lattice spacing (e.g. spinodal decomposition), Cockayne & Gronsky (1981 ). (iii) For point defects and their ordering, in tunnel structures, Yagi & Cowley (1978 ); in semiconductors, Zakharov, Pasemann & Rozhanski (1982 ); in metals, Fields & Cowley (1978 ). (iv) For interfaces, see the proceedings reported in Ultramicroscopy (1992), Vol. 40, No. 3. (v) For metals, Lovey, Coene, Van Dyck, Van Tendeloo, Van Landuyt & Amelinckx (1984 ). (vi) For organic crystals, Kobayashi, Fujiyoshi & Uyeda (1982 ). (vii) For a general review of applications in solid-state chemistry, see the collection of papers reported in Ultramicroscopy (1985), Vol. 18, Nos. 1–4. (viii) Radiation-damage effects are observed at atomic resolution by Horiuchi (1982 ).

4.3.8.4. Parameters affecting HREM images

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The instrumental parameters that affect HREM images include accelerating voltage , astigmatism, optic-axis alignment, focus setting Δf, spherical-aberration constant [C_s] , beam divergence $[\theta_c]$ , and chromatic aberration constant [C_c] . Crystal parameters influencing HREM images include thickness, absorption, ionicity, and the alignment of the crystal zone axis with the beam, in addition to the structure factors and atom positions of the sample. The accurate measurement of electron wavelength or accelerating voltage has been discussed by many workers, including Uyeda, Hoier and others [see Fitzgerald & Johnson (1984 ) for references]. The measurement of Kikuchi-line spacings from crystals of known structure appears to be the most accurate and convenient method for HREM work, and allows an overall accuracy of better than 0.2% in accelerating voltage. Fluctuations in accelerating voltage contribute to the chromatic damping term Δ in equation (4.3.8.19) through the variance $[\sigma^2(V_0)]$ . With the trend toward the use of higher accelerating voltages for HREM work, this term has become especially significant for the consideration of the information resolution limit [equation (4.3.8.21)].

Techniques for the accurate measurement of astigmatism and chromatic aberration are described by Spence (1988b ). The displacement of images of small crystals with beam tilt may be used to measure [C_s] ; alternatively, the curvature of higher-order Laue-zone lines in CBED patterns has been used. The method of Budinger & Glaeser (1976 ) uses a similar dark-field image-displacement method to provide values for both Δf and [C_s] , and appears to be the most convenient and accurate for HREM work. The analysis of optical diffractograms initiated by Thon and co-workers from HREM images of thin amorphous films provides an invaluable diagnostic aid for HREM work; however, the determination of [C_s] by this method is prone to large errors, especially at small defocus. Diffractograms provide a rapid method for the determination of focus setting (see Krivanek, 1976 ) and in addition provide a sensitive indicator of specimen movement, astigmatism, and the damping-envelope constants Δ and $[\Theta_c]$ .

Misalignment of the electron beam , optic axis, and crystal axis in bright-field HREM work becomes increasingly important with increasing resolution and specimen thickness. The first-order effects of optical misalignment are an artifactual translation of spatial frequencies in the direction of misalignment by an amount proportional to the misalignment and to the square of spatial frequency. The corresponding phase shift is not observable in diffractograms. The effects of astigmatism on transfer functions for inclined illumination are discussed in Saxton (1978 ).

The effects of misalignment of the beam with respect to the optic axis are discussed in detail by Smith, Saxton, O'Keefe, Wood & Stobbs (1983 ), where it is found that all symmetry elements (except a mirror plane along the tilt direction) may be destroyed by misalignment. The maximum allowable misalignment for a given resolution δ in a specimen of thickness t is proportional to $[\alpha=\delta/8 t. \eqno (4.3.8.24)]$ Misalignment of a crystalline specimen with respect to the beam may be distinguished from misalignment of the optic axis with respect to the beam by the fact that, in very thin crystals, the former does not destroy centres of symmetry in the image.

The use of known defect point-group symmetry (for example in stacking faults) to identify a point in a HREM image with a point in the structure and so to resolve the black or white atomic contrast ambiguity has been described (Olsen & Spence, 1981 ). Structures containing screw or glide elements normal to the beam are particularly sensitive to misalignment, and errors as small as 0.2 mrad may substantially alter the image appearance.

A rapid comparison of images of amorphous material with the beam electronically tilted into several directions appears to be the best current method of aligning the beam with the optic axis, while switching to convergent-beam mode appears to be the most effective method of aligning the beam with the crystal axis. However, there is evidence that the angle of incidence of the incident beam is altered by this switching procedure.

The effects of misalignment and choice of beam divergence $[\Theta_c]$ on HREM images of crystals containing dynamically forbidden reflections are reviewed by Nagakura, Nakamura & Suzuki (1982 ) and Smith, Bursill & Wood (1985 ). Here the dramatic example of rutile in the [001] orientation is used to demonstrate how a misalignment of less than 0.2 mrad of the electron beam with respect to the crystal axis can bring up a coarse set of fringes (4.6 Å), which produce an image of incorrect symmetry, since these correspond to structure factors that are forbidden both dynamically and kinematically.

Crystal thickness is most accurately determined from images of planar faults in known orientations, or from crystal morphology for small particles. It must otherwise be treated as a refinement parameter. Since small crystals (such as MgO smoke particles, which form as perfect cubes) provide such an independent method of thickness determination, they provide the most convincing test of dynamical imaging theory. The ability to match the contrast reversals and other detailed changes in HREM images as a function of either thickness or focus (or both) where these parameters have been measured by an independent method gives the greatest confidence in image interpretation. This approach, which has been applied in rather few cases [see, for example, O'Keefe, Spence, Hutchinson & Waddington (1985 )] is strongly recommended. The tendency for n-beam dynamical HREM images to repeat with increasing thickness in cases where the wavefunction is dominated by just two Bloch waves has been analysed by several workers (Kambe, 1982 ).

Since electron scattering factors are proportional to the difference between atomic number and X-ray scattering factors, and inversely proportional to the square of the scattering angle (see Section 4.3.1 ), it has been known for many years that the low-order reflections that contribute to HREM images are extremely sensitive to the distribution of bonding electrons and so to the degree of ionicity of the species imaged. This observation has formed the basis of several charge-density-map determinations by convergent-beam electron diffraction [see, for example, Zuo, Spence & O'Keefe (1988 )]. Studies of ionicity effects on HREM imaging can be found in Anstis, Lynch, Moodie & O'Keefe (1973 ) and Fujiyoshi, Ishizuka, Tsuji, Kobayashi & Uyeda (1983 ).

The depletion of the elastic portion of the dynamical electron wavefunction by inelastic crystal excitations (chiefly phonons, single-electron excitations, and plasmons) may have dramatic effects on the HREM images of thicker crystals (Pirouz, 1974 ). For image formation by the elastic component, these effects may be described through the use of a complex `optical' potential and the appropriate Debye–Waller factor (see Section 2.5.1 ). However, existing calculations for the absorption coefficients derived from the imaginary part of this potential are frequently not applicable to lattice images because of the large objective apertures used in HREM work. It has been suggested that HREM images formed from electrons that suffer small energy losses (and so remain `in focus') but large-angle scattering events (within the objective aperture) due to phonon excitation may contribute high-resolution detail to images (Cowley, 1988 ). For measurements of the imaginary part of the optical potential by electron diffraction, the reader is referred to the work of Voss, Lehmpfuhl & Smith (1980 ), and references therein. All evidence suggests, however, that for the crystal thicknesses generally used for HREM work ( $[t\lt]$ 200 Å) the effects of `absorption' are small.

In summary, the general approach to the matching of computed and experimental HREM images proceeds as follows (Wilson, Spargo & Smith, 1982 ). (i) Values of Δ, $[\Theta_c]$ , and [C_s] are determined by careful measurements under well defined conditions (electron-gun bias setting, illumination aperture size, specimen height as measured by focusing-lens currents, electron-source size, etc). These parameters are then taken as constants for all subsequent work under these instrumental conditions (assuming also continuous monitoring of electronic instabilities). (ii) For a particular structure refinement, the parameters of thickness and focus are then varied, together with the choice of atomic model, in dynamical computer simulations until agreement is obtained. Every effort should be made to match images as a function of thickness and focus. (iii) If agreement cannot be obtained, the effects of small misalignments must be investigated (Smith et al., 1985 ). Crystals most sensitive to these include those containing reflections that are absent due to the presence of screw or glide elements normal to the beam.

4.3.8.5. Computing methods

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The general formulations for the dynamical theory of electron diffraction in crystals have been described in Chapter 5.2 of IT B (2001 ). In Section 4.3.6 , the computing methods used for calculating diffraction-beam amplitudes have been outlined.

Given the diffracted-beam amplitudes, $[\Psi_{\bf g}]$ , the image is calculated by use of equations (4.3.8.2), including, when appropriate, the modifications of (4.3.8.13b).

The numerical methods that can be employed in relation to crystal-structure imaging make use of algorithms based on (i) matrix diagonalization, (ii) fast Fourier transforms, (iii) real-space convolution (Van Dyck, 1980 ), (iv) Runge-Kutta (or similar) methods, or (v) power-series evaluation. Two other solutions, the Cowley–Moodie polynomial solution and the Feynman path-integral solution, have not been used extensively for numerical work. Methods (i) and (ii) have proven the most popular, with (ii) (the multislice method) being used most extensively for HREM image simulations. The availability of inexpensive array processors has made this technique highly efficient. A comparison of these two N-beam methods is given by Self, O'Keefe, Buseck & Spargo (1983 ), who find the multislice method to be faster (time proportional to $[N\log_2N]$ ) than the diagonalization method (time proportional to [N^2] ) for N $[\gt]$ 16. Computing space increases roughly as [N^2] for the diagonalization method, and as N for the multislice. The problem of steeply inclined boundary conditions for multislice computations has been discussed by Ishizuka (1982 ).

In the Bloch-wave formulation, the lattice image is given by $[\eqalignno{ I({\bf r}) &=\textstyle\sum\limits_{i,\,j}\sum\limits_{\bf h,g}\,C^{(i)}_0 C^{(\,j)}_0 C^{(i)}_{\bf g} C^{(\,j)}_{\bf h}\exp \left\{i[2\pi(\gamma^{( i)}-\gamma^{(\,j)})t \right. \cr& \left. \quad +\,2\pi({\bf g-h})\cdot{\bf r}-\chi(\Delta f, C_s, {\bf g})+\chi(\Delta f, C_s,{\bf h})] \right\}, \cr&&(4.3.8.25)}]$ where $[C^{(i)}_{\bf g}]$ and $[\gamma^{(i)}]$ are the eigenvector elements and eigenvalues of the structure matrix [see Hirsch, Howie, Nicholson, Pashley & Whelan (1977a ) and Section 4.3.4 ].

Using modern personal computers or workstations, it is now possible to build efficient single-user systems that allow interactive dynamical structure-image calculations. Either an image intensifier or a cooled scientific grade charge-coupled device and single-crystal scintillator screen may be used to record the images, which are then transferred into a computer (Daberkow, Herrmann, Liu & Rau, 1991 ). This then allows for the possibility of automated alignment, stigmation and focusing to the level of accuracy needed at 0.1 nm point resolution (Krivanek & Mooney, 1993 ). An image-matching search through trial structures, thickness and focus parameters can then be completed rapidly. Where large numbers of pixels, large dynamic range and high sensitivity are required, the Image Plate has definite advantages and so should find application in electron holography and biology (Shindo, Hiraga, Oikawa & Mori, 1990 ).

For the calculation of images of defects , the method of periodic continuation has been used extensively (Grinton & Cowley, 1971 ). Since, for kilovolt electrons traversing thin crystals, the transverse spreading of the dynamical wavefunction is limited (Cowley, 1981 ), the complex image amplitude at a particular point on the specimen exit face depends only on the crystal potential within a cylinder a few ångströms in diameter, erected about that point (Spence, O'Keefe & Iijima, 1978 ). The width of this cylinder depends on accelerating voltage, specimen thickness, and focus setting (see above references). Thus, small overlapping `patches' of exit-face wavefunction may be calculated in successive computations, and the results combined to form a larger area of image. The size of the `artificial superlattice' used should be increased until no change is found in the wavefunction over the central region of interest. For most defects, the positions of only a few atoms are important and, since the electron wavefunction is locally determined (for thin specimens at Scherzer focus), it appears that very large calculations are rarely needed for HREM work. The simulation of profile images of crystal surfaces at large defocus settings will, however, frequently be found to require large amounts of storage.

A new program should be tested to ensure that (a) under approximate two-beam conditions the calculated extinction distances for small-unit-cell crystals agree roughly with tabulated values (Hirsch et al., 1977b ), (b) the simulated dynamical images have the correct symmetry, (c) for small thickness, the Scherzer-focus images agree with the projected potential, and (d) images and beam intensities agree with those of a program known to be correct. The damping envelope (product representation) [equation (4.3.8.17)] should only be used in a thin crystal with $[\Phi_0\gt\Phi_{\bf g}]$ ; in general, the effects of partial spatial and temporal coherence must be incorporated using equation (4.3.8.13a) or (4.3.8.13b), depending on whether variations in diffraction conditions over $[\theta_c]$ are important. Thus, a separate multislice dynamical-image calculation for each component plane wave in the incident cone of illumination may be required, followed by an incoherent sum of all resulting images.

The outlook for obtaining higher resolution at the time of writing (1997) is broadly as follows. (1) The highest point resolution currently obtainable is close to 0.1 nm, and this has been obtained by taking advantage of the reduction in electron wavelength that occurs at high voltage [equation (4.3.8.16)]. A summary of results from these machines can be found in Ultramicroscopy (1994), Vol. 56, Nos. 1–3, where applications to fullerenes, glasses, quasicrystals, interfaces, ceramics, semiconductors, metals and oxides and other systems may be found. Fig. 4.2.8.6 shows a typical result. High cost, and the effects of radiation damage (particularly at larger thickness where defects with higher free energies are likely to be found), may limit these machines to a few specialized laboratories in the future. The attainment of higher resolution through this approach depends on advances in high-voltage engineering. (2) Aberration coefficients may be reduced if higher magnetic fields can be produced in the pole piece, beyond the saturation flux of the specialized iron alloys currently used. Research into superconducting lenses has therefore continued for many years in a few laboratories. Fluctuations in lens current are also eliminated by this method. (3) Electron holography was originally developed for the purpose of improving electron-microscope resolution, and this approach is reviewed in the following section. (4) Electron–optical correction of aberrations has been under study for many years in work by Scherzer, Crewe, Beck, Krivanek, Lanio, Rose and others – results of recent experimental tests are described in Haider & Zach (1995 ) and Krivanek, Dellby, Spence, Camps & Brown (1997 ). The attainment of 0.1 nm point resolution is considered feasible. Aberration correctors will also provide benefits other than increased resolution, including greater space in the pole piece for increased sample tilt and access to X-ray detectors, etc.

Figure 4.3.8.6| top | pdf |

Structure image of a thin lamella of the 6H polytype of SiC projected along [110] and recorded at 1.2 MeV. Every atomic column (darker dots) is separately resolved at 0.109 nm spacing. The central horizontal strip contains a computer-simulated image; the structure is sketched at the left. [Courtesy of H. Ichinose (1994).]

The need for resolution improvement beyond 0.1 nm has been questioned – the structural information retrievable by a single HREM image is always limited by the fact that a projection is obtained. (This problem is particularly acute for glasses.) Methods for combining different projected images (particularly of defects ) from the same region (Downing, Meisheng, Wenk & O'Keefe, 1990 ) may now be as important as the search for higher resolution.

4.3.8.6. Resolution and hyper-resolution

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Since the resolution of an instrument is a property of the instrument alone, whereas the ability to distinguish HREM image features due to adjacent atoms depends on the scattering properties of the atoms, the resolution of an electron microscope cannot easily be defined [see Subsection 2.5.2.9 in IT B (2001 )]. The Rayleigh criterion was developed for the incoherent imaging of point sources and cannot be applied to coherent phase contrast. Only for very thin specimens of light elements for which it can be assumed that the scattering phase is −π/2 can the straightforward definition of point resolution [d_p] [equation (4.3.8.16)] be applied. In general, the dynamical wavefunction across the exit face of a crystalline sample bears no simple relationship to the crystal structure, other than to preserve its symmetry and to be determined by the `local' crystal potential. The use of a dynamical `R factor' between computed and experimental images of a known structure has been suggested by several workers as the basis for a more general resolution definition.

For weakly scattering specimens, the most satisfactory method of measuring either the point resolution [d_p] or the information limit [d_i] [see equation (4.3.8.21)] appears to be that of Frank (1975 ). Here two successive micrographs of a thin amorphous film are recorded (under identical conditions) and the superimposed pair used to obtain a coherent optical diffractogram crossed by fringes. The fringes, which result from small displacements of the micrographs, extend only to the band limit $[d^{-1}_i]$ of information common to both micrographs, and cannot be extended by photographic processing, noise, or increased exposure. By plotting this band limit against defocus, it is possible to determine both Δ and $[\theta_c]$ . As an alternative, for thin crystalline samples of large-unit-cell materials, the parameters Δ, $[\theta_c]$ , and [C_s] can be determined by matching computed and experimental images of crystals of known structure. It is the specification of these parameters (for a given electron intensity and wavelength) that is important in describing the performance of high-resolution electron microscopes. We note that certain conditions of focus or thickness may give a spurious impression of ultra-high resolution [see equations (4.3.8.7) and (4.3.8.8)].

Within the domain of linear imaging, implying, for the most part, the validity of the WPO approximation, many forms of image processing have been employed. These have been of particular importance for crystalline and non-crystalline biological materials and include image reconstruction [see Section 2.5.5 in IT B (2001 )] and the derivation of three-dimensional structures from two-dimensional projections [see Section 2.5.6 in IT B (2001 )]. For reviews, see also Saxton (1980a ), Frank (1980 ), and Schiske (1975 ). Several software packages now exist that are designed for image manipulation, Fourier analysis, and cross correlation; for details of these, see Saxton (1980a ) and Frank (1980 ). The theoretical basis for the WPO approximation closely parallels that of axial holography in coherent optics, thus much of that literature can be applied to HREM image processing. Gabor's original proposal for holography was intended for electron microscopy [see Cowley (1981 ) for a review].

The aim of image-processing schemes is the restoration of the exit-face wavefunction, given in equation (4.3.8.13a). The reconstruction of the crystal potential $[\varphi_p({\bf r})]$ from this is a separate problem, since these are only simply related under the approximation of Subsection 4.3.8.3 . For a non-linear method that allows the reconstruction of the dynamical image wavefunction, based on equation (4.3.8.13b), which thus includes the effects of multiple scattering, see Saxton (1980b ).

The concept of holographic reconstruction was introduced by Gabor (1948 , 1949 ) as a means of enhancing the resolution of electron microscopes. Gabor proposed that, if the information on relative phases of the image wave could be recorded by observing interference with a known reference wave, the phase modification due to the objective-lens aberrations could be removed. Of the many possible forms of electron holography (Cowley, 1994 ), two show particular promise of useful improvements of resolution. In what may be called in-line TEM holography, a through-focus series of bright-field images is obtained with near-coherent illumination. With reference to the relatively strong transmitted beam, the relative phase and amplitude changes due to the specimen are derived from the variations of image intensity (see Van Dyck, Op de Beeck & Coene, 1994 ). The tilt-series reconstruction method also shows considerable promise (Kirkland, Saxton, Chau, Tsuno & Kawasaki, 1995 ).

In the alternative off-axis approach, the reference wave is that which passes by the specimen area in vacuum, and which is made to interfere with the wave transmitted through the specimen by use of an electrostatic biprism (Möllenstedt & Düker, 1956 ). The hologram consists of a modulated pattern of interference fringes. The image wavefunction amplitude and phase are deduced from the contrast and lateral displacements of the fringes (Lichte, 1991 ; Tonomura, 1992 ). The process of reconstruction from the hologram to give the image wavefunction may be performed by optical-analogue or digital methods and can include the correction of the phase function to remove the effects of lens aberrations and the attendant limitation of resolution. The point resolution of electron microscopes has recently been exceeded by this method (Orchowski, Rau & Lichte, 1995 ).

The aim of the holographic reconstructions is the restoration of the wavefunction at the exit face of the specimen as given by equation (4.3.8.13a). The reconstruction of the crystal potential $[\varphi({\bf r})]$ from this is a separate problem, since the exit-face wavefunction and $[\varphi({\bf r})]$ are simply related only under the WPO approximations of Subsection 4.3.8.3 . The possibility of deriving reconstructions from wavefunctions strongly affected by dynamical diffraction has been considered by a number of authors (for example, Van Dyck et al., 1994 ). The problem does not appear to be solvable in general, but for special cases, such as perfect thin single crystals in exact axial orientations, considerable progress may be possible.

Since a single atom, or a column of atoms, acts as a lens with negative spherical aberration, methods for obtaining super-resolution using atoms as lenses have recently been proposed (Cowley, Spence & Smirnov, 1997 ).

4.3.8.7. Alternative methods

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A number of non-conventional imaging modes have been found useful in electron microscopy for particular applications. In scanning transmission electron microscopy (STEM), powerful electron lenses are used to focus the beam from a very small bright source, formed by a field-emission gun, to form a small probe that is scanned across the specimen. Some selected part of the transmitted electron beam (part of the coherent convergent-beam electron diffraction pattern produced) is detected to provide the image signal that is displayed or recorded in synchronism with the incident-beam scan. The principle of reciprocity suggests that, for equivalent lenses, apertures and column geometry, the resolution and contrast of STEM and TEM images will be identical (Cowley, 1969 ). Practical considerations of instrumental convenience distinguish particularly useful STEM modes.

Crewe & Wall (1970 ) showed that, if an annular detector is used to detect all electrons scattered outside the incident-beam cone, dark-field images could be obtained with high efficiency and with a resolution better than that of the bright-field mode by a factor of about 1.4. If the inner radius of the annular detector is made large (of the order of 10⁻¹ rad for 100 kV electrons), the strong diffracted beams occurring for lower angles do not contribute to the resulting high-angle annular dark-field (HAADF) image (Howie, 1979 ), which is produced mainly by thermal diffuse scattering. The HAADF mode has important advantages for particular purposes because the contrast is strongly dependent on the atomic number, Z, of the atoms present but is not strongly affected by dynamical diffraction effects and so shows near-linear variation with Z and with the atom-number density in the sample. Applications have been made to the imaging of small high-Z particles in low-Z supports, such as in supported metal catalysts (Treacy & Rice, 1989 ) and to the high-resolution imaging of individual atomic rows in semiconductor crystals, showing the variations of composition across planar interfaces (Pennycook & Jesson, 1991 ).

The STEM imaging modes may be readily correlated with microchemical analysis of selected specimen areas having lateral dimensions in the nanometre range, by application of the techniques of electron energy-loss spectroscopy or X-ray energy-dispersive analysis (Williams & Carter, 1996 ; Section 4.3.4 ). Also, diffraction patterns (coherent convergent-beam electron diffraction patterns) may be obtained from any chosen region having dimensions equal to those of the incident-beam diameter and as small as about 0.2 nm (Cowley, 1992 ). The coherent interference between diffracted beams within such a pattern may provide information on the symmetries, and, ultimately, the atomic arrangement, within the illuminated area, which may be smaller than the projection of the crystal unit cell in the beam direction. This geometry has been used to extend resolution for crystalline samples beyond even the information resolution limit, d_i (Nellist, McCallum & Rodenburg, 1995 ), and is the basis for an exact, non-perturbative inversion scheme for dynamical electron diffraction (Spence, 1998 ).

The detection of secondary radiations (light, X-rays, low-energy `secondary' electrons, etc.) in STEM or the detection of energy losses of the incident electrons, resulting from particular elementary excitations of the atoms in a crystal, in TEM or STEM, may be used to form images showing the distributions in a crystal structure of particular atomic species. In principle, this may be extended to the chemical identification of individual atom types in the projection of crystal structures, but only limited success has been achieved in this direction because of the relatively low level of the signals available. The formation of atomic resolution images using inner-shell excitations, for example, is complicated by the Bragg scattering of these inelastically scattered electrons (Endoh, Hashimoto & Makita, 1994 ; Spence & Lynch, 1982 ).

Reflection electron microscopy (REM) has been shown to be a powerful technique for the study of the structures and defects of crystal surfaces with moderately high spatial resolution (Larsen & Dobson, 1988 ), especially when performed in a specially built electron microscope having an ultra-high-vacuum specimen environment (Yagi, 1993 ). Images are formed by detecting strong diffracted beams in the RHEED patterns produced when kilovolt electron beams are incident on flat crystal surfaces at grazing incidence angles of a few degrees. The images suffer from severe foreshortening in the beam direction, but, in directions at right angles to the beam, resolutions approaching 0.3 nm have been achieved (Koike, Kobayashi, Ozawa & Yagi, 1989 ). Single-atom-high surface steps are imaged with high contrast, surface reconstructions involving only one or two monolayers are readily seen and phase transitions of surface superstructures may be followed.

The study of surface structure by use of high-resolution transmission electron microscopes has also been productive in particular cases. Images showing the structures of surface layers with near-atomic resolution have been obtained by the use of `forbidden' or `termination' reflections (Cherns, 1974 ; Takayanagi, 1984 ) and by phase-contrast imaging (Moodie & Warble, 1967 ; Iijima, 1977 ). The imaging of the profiles of the edges of thin or small crystals with clear resolution of the surface atomic layers has also been effective (Marks, 1986 ). The introduction of the scanning tunnelling microscope (Binnig, Rohrer, Gerber & Weibel, 1983 ) and other scanning probe microscopies has broadened the field of high-resolution surface structure imaging considerably.

4.3.8.8. Combined use of HREM and electron diffraction

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For many materials of organic or biological origin, it is possible to obtain very thin crystals, only one or a few molecules thick, extending laterally over micrometre-size areas. These may give selected-area electron-diffraction patterns in electron microscopes with diffraction spots extending out to angles corresponding to d spacings as low as 0.1 nm. Because the materials are highly sensitive to electron irradiation, conventional bright-field images cannot be obtained with resolutions better than several nanometres. However, if images are obtained with very low electron doses and then a process of averaging over the content of a very large number of unit cells of the image is carried out, images showing detail down to the scale of 1 nm or less may be derived for the periodically repeated unit. From such images, it is possible to derive both the magnitudes and phases of the Fourier coefficients, the structure factors, out to some limit of d spacings, say [d_m] . From the diffraction patterns, the magnitudes of the structure factors may be deduced, with greater accuracy, out to a much smaller limit, [d_d] . By combination of the information from these two sources, it may be possible to obtain a greatly improved resolution for an enhanced image of the structure. This concept was first introduced by Unwin & Henderson (1975 ), who derived images of the purple membrane from Halobacterium halobium, with greatly improved resolution, revealing its essential molecular configuration.

Recently, several methods of phase extension have been developed whereby the knowledge of the relative phases may be extended from the region of the diffraction pattern covered by the electron-microscope image transform to the outer parts. These include methods based on the use of the tangent formula or Sayre's equation (Dorset, 1994 ; Dorset, McCourt, Fryer, Tivol & Turner, 1994 ) and on the use of maximum-entropy concepts (Fryer & Gilmore, 1992 ). Such methods have also been applied, with considerable success, to the case of some thin inorganic crystals (Fu et al., 1994 ). In this case, the limitation on the resolution set by the electron-microscope images may be that due to the transfer function of the microscope, since radiation-damage effects are not so limiting. Then, the resolution achieved by the combined application of the electron diffraction data may represent an advance beyond that of normal HREM imaging. Difficulties may well arise, however, because the theoretical basis for the phase-extension methods is currently limited to the WPO approximation. A summary of the present situation is given in the book by Dorset (1995 ).

Acknowledgements

The authors of Section 4.3.3 acknowledge with gratitude the contributions of Kenneth and Lise Hedberg, who made many helpful suggestions regarding the manuscript and carefully checked the numerical results for smoothness and consistency.

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International Tables for Crystallography (2006). Vol. C. ch. 4.3, pp. 259-429
https://doi.org/10.1107/97809553602060000593

Chapter 4.3. Electron diffraction

4.3.1. Scattering factors for the diffraction of electrons by crystalline solids

4.3.1.1. Elastic scattering from a perfect crystal

4.3.1.2. Atomic scattering factors

4.3.1.3. Approximations of restricted validity

4.3.1.4. Relativistic effects

4.3.1.5. Absorption effects

4.3.1.6. Tables of atomic scattering amplitudes for electrons

4.3.1.7. Use of Tables 4.3.1.1 and 4.3.1.2

4.3.2. Parameterizations of electron atomic scattering factors

4.3.3. Complex scattering factors for the diffraction of electrons by gases

4.3.3.1. Introduction

4.3.3.2. Complex atomic scattering factors for electrons

4.3.3.2.1. Elastic scattering factors for atoms

4.3.3.2.2. Total inelastic scattering factors

4.3.3.2.3. Corrections for defects in the theory of atomic scattering

4.3.3.3. Molecular scattering factors for electrons

4.3.4. Electron energy-loss spectroscopy on solids

4.3.4.1. Definitions

4.3.4.1.1. Use of electron beams

4.3.4.1.2. Parameters involved in the description of a single inelastic scattering event

4.3.4.1.3. Problems associated with multiple scattering

4.3.4.1.4. Classification of the different types of excitations contained in an electron energy-loss spectrum

4.3.4.2. Instrumentation

4.3.4.2.1. General instrumental considerations

4.3.4.2.2. Spectrometers

4.3.4.2.3. Detection systems

4.3.4.3. Excitation spectrum of valence electrons

4.3.4.3.1. Volume plasmons

4.3.4.3.2. Dielectric description

4.3.4.3.3. Real solids

4.3.4.3.4. Surface plasmons

4.3.4.4. Excitation spectrum of core electrons

4.3.4.4.1. Definition and classification of core edges

4.3.4.4.2. Bethe theory for inelastic scattering by an isolated atom (Bethe, 1930; Inokuti, 1971; Inokuti, Itikawa & Turner, 1978, 1979)

4.3.4.4.3. Solid-state effects

4.3.4.4.4. Applications for core-loss spectroscopy

4.3.4.5. Conclusions

4.3.5. Oriented texture patterns

4.3.5.1. Texture patterns

4.3.5.2. Lattice plane oriented perpendicular to a direction (lamellar texture)

4.3.5.3. Lattice direction oriented parallel to a direction (fibre texture)

4.3.5.4. Applications to metals and organic materials

4.3.6. Computation of dynamical wave amplitudes

4.3.6.1. The multislice method

4.3.6.2. The Bloch-wave method

4.3.7. Measurement of structure factors and determination of crystal thickness by electron diffraction

4.3.8. Crystal structure determination by high-resolution electron microscopy

4.3.8.1. Introduction

4.3.8.2. Lattice-fringe images

4.3.8.3. Crystal structure images

4.3.8.4. Parameters affecting HREM images

4.3.8.5. Computing methods

4.3.8.6. Resolution and hyper-resolution

4.3.8.7. Alternative methods

4.3.8.8. Combined use of HREM and electron diffraction

Acknowledgements

References

4.3.4.4.2. Bethe theory for inelastic scattering by an isolated atom (Bethe, 1930 ; Inokuti, 1971 ; Inokuti, Itikawa & Turner, 1978 , 1979 )

4.3.5.3. Lattice direction oriented parallel to a direction (fibre texture )