International Tables for Crystallography (2006). Vol. C. ch. 6.1, pp. 554-595
https://doi.org/10.1107/97809553602060000600 |
Chapter 6.1. Intensity of diffracted intensities
Contents
- 6.1. Intensity of diffracted intensities (pp. 554-595) | html | pdf | chapter contents |
- 6.1.1. X-ray scattering (pp. 554-590) | html | pdf |
- 6.1.1.1. Coherent (Rayleigh) scattering (p. 554) | html | pdf |
- 6.1.1.2. Incoherent (Compton) scattering (p. 554) | html | pdf |
- 6.1.1.3. Atomic scattering factor (pp. 554-565) | html | pdf |
- 6.1.1.4. Generalized scattering factors (pp. 565-584) | html | pdf |
- 6.1.1.5. The temperature factor (pp. 584-585) | html | pdf |
- 6.1.1.6. The generalized temperature factor (pp. 585-590) | html | pdf |
- 6.1.1.6.1. Gram–Charlier series (p. 586) | html | pdf |
- 6.1.1.6.2. Fourier-invariant expansions (pp. 586-588) | html | pdf |
- 6.1.1.6.3. Cumulant expansion (p. 588) | html | pdf |
- 6.1.1.6.4. Curvilinear density functions (pp. 588-589) | html | pdf |
- 6.1.1.6.5. Model-based curvilinear density functions (pp. 589-590) | html | pdf |
- 6.1.1.6.6. The quasi-Gaussian approximation for curvilinear motion (p. 590) | html | pdf |
- 6.1.1.7. Structure factor (p. 590) | html | pdf |
- 6.1.1.8. Reflecting power of a crystal (p. 590) | html | pdf |
- 6.1.2. Magnetic scattering of neutrons (pp. 590-593) | html | pdf |
- 6.1.2.1. Glossary of symbols (pp. 590-591) | html | pdf |
- 6.1.2.2. General formulae for the magnetic cross section (p. 591) | html | pdf |
- 6.1.2.3. Calculation of magnetic structure factors and cross sections (p. 591) | html | pdf |
- 6.1.2.4. The magnetic form factor (p. 592) | html | pdf |
- 6.1.2.5. The scattering cross section for polarized neutrons (pp. 592-593) | html | pdf |
- 6.1.2.6. Rotation of the polarization of the scattered neutrons (p. 593) | html | pdf |
- 6.1.3. Nuclear scattering of neutrons (pp. 593-595) | html | pdf |
- References | html | pdf |
- Figures
- Fig. 6.1.1.1. Scattering by an electron (p. 554) | html | pdf |
- Fig. 6.1.2.1. The integrals 〈j0〉, 〈j2〉, and 〈j4〉 for the Fe2+ ion plotted against (p. 592) | html | pdf |
- Fig. 6.1.2.2. Comparison of 3d, 4d, 4f, and 5f form factors (p. 592) | html | pdf |
- Fig. 6.1.3.1. Dependence on neutron wavelength of the coherent scattering length of 113Cd (p. 594) | html | pdf |
- Tables
- Table 6.1.1.1. Mean atomic scattering factors in electrons for free atoms (pp. 555-564) | html | pdf |
- Table 6.1.1.2. Spherical bonded hydrogen-atom scattering factors (p. 565) | html | pdf |
- Table 6.1.1.3. Mean atomic scattering factors in electrons for chemically significant ions (pp. 566-577) | html | pdf |
- Table 6.1.1.4. Coefficients for analytical approximation to the scattering factors of Tables 6.1.1.1 and 6.1.1.3 (pp. 578-580) | html | pdf |
- Table 6.1.1.5. Coefficients for analytical approximation to the scattering factors of Table 6.1.1.1 for the range 2.0 < (sin )/λ < 6.0 Å−1 [equation (6.1.1.16)] (p. 581) | html | pdf |
- Table 6.1.1.6. Angle dependence of multipole functions, normalized as in equation (6.1.1.23); ω = cos and S, D, Q, O, H denote scalar, dipole, quadrupole, octupole, and hexadecapole terms, respectively (p. 583) | html | pdf |
- Table 6.1.1.7. Indices allowed by the site symmetry for the real form of the spherical harmonics (p. 584) | html | pdf |
- Table 6.1.1.8. Cubic harmonics for cubic site symmetries (p. 585) | html | pdf |
- Table 6.1.1.9. fnl(α, S) = ∫∞0rn exp(−αr)jl(Sr) dr (p. 586) | html | pdf |
- Table 6.1.1.10. Indices nmp allowed by the site symmetry for the functions (p. 586) | html | pdf |
- Table 6.1.1.11. Indices nx, ny, nz allowed for the basis functions Hnx(Ax)Hny(By)Hnz(Cz) (p. 587) | html | pdf |
- 6.1.1. X-ray scattering (pp. 554-590) | html | pdf |