Table 6.3.3.5

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

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International Tables for Crystallography (2006). Vol. C. ch. 6.3, p. 603

E. N. Maslen^a ^‡

^a Crystallography Centre, The University of Western Australia, Nedlands, Western Australia 6009, Australia

Table 6.3.3.5 | top | pdf |
Coefficients for interpolation of A* and $[\bar T]$

$[\theta_j]$	0°	15°	30°	45°	60°	75°	90°	Units
K₁ (sphere)	3/2	3/2	3/2	3/2	3/2	3/2	3/2
K ₂	−7.5234	−9.4320	−15.109	−24.3812	−35.219	−44.042	−47.745	10⁻²
K ₃	−7.0935	−10.737	−18.027	−11.088	14.265	40.021	61.084	10⁻³
K ₄	−2.3096	−2.1332	−1.4693	7.4205	24.832	44.308	37.394	10⁻³
K ₅	1.8323	1.1711	4.6784	3.0970	−10.284	−27.987	−25.879	10⁻³
K ₆	−5.1259	−1.2652	−14.491	−16.740	21.910	77.007	71.458	10⁻⁴
K ₇	6.0265	0.7932	16.489	21.774	−22.391	−85.570	−78.812	10⁻⁵
K₁ (cylinder)	16/3π	16/3π	16/3π	16/3π	16/3π	16/3π	16/3π
K ₂	−5.7832	−8.1900	−15.651	−27.048	−40.317	−51.497	−55.837	10⁻²
K ₃	−14.737	−19.551	−22.883	−27.345	−8.807	26.637	41.420	10⁻³
K ₄	5.2399	1.2934	−12.301	6.844	40.689	61.371	68.963	10⁻³
K ₅	−4.0958	−2.8349	9.6249	7.503	−11.295	−29.397	−36.556	10⁻³
K ₆	13.178	12.731	−19.881	−30.211	9.4468	60.356	80.965	10⁻⁴
K ₇	−14.500	−14.846	14.414	34.222	3.1492	−49.206	−70.573	10⁻⁵
(C⁻¹)_0,j	3	0	0	0	0	0	0	All values multiplied by 3 to eliminate fractions
(C⁻¹)_1,j	−73	48 + 24 $[\sqrt{3}]$	−24	12	−8	48 − 24 $[\sqrt{3}]$	−3
(C⁻¹)_2,j	518	−496 − 200 $[\sqrt {3}]$	488	−268	184	−496 + 200 $[\sqrt{3}]$	70
(C⁻¹)_3,j	−1600	1920 + 560 $[\sqrt{3}]$	−2192	1536	−1136	1920 − 560 $[\sqrt{3}]$	−448
(C⁻¹)_4,j	2432	−3520 − 640 $[\sqrt{3}]$	4032	−3328	2752	−3520 + 640 $[\sqrt{3}]$	1152
(C⁻¹)_5,j	−1792	3072 + 256 $[\sqrt{3}]$	−3328	3072	−2816	3072 − 256 $[\sqrt{3}]$	−1280
(C⁻¹)_6,j	512	−1024	1024	−1024	1024	−1024	512