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

© International Union of Crystallography 2006
International Tables for Crystallography (2006). Vol. C. ch. 6.1, p. 581

Table 6.1.1.5 

E. N. Maslen,e‡ A. G. Foxb and M. A. O'Keefec

Table 6.1.1.5 | top | pdf |
Coefficients for analytical approximation to the scattering factors of Table 6.1.1.1[link] for the range 2.0 < (sin [\theta])/λ < 6.0 Å−1 [equation (6.1.1.16)[link]]

[Z] Symbol [a_0] [a_1] [a_2] (×10) [a_3] (×100) [C]
2 He 0.52543 −3.43300 4.80070 −2.54760 1.0000
3 Li 0.89463 −2.43660 2.32500 −0.71949 1.0000
4 Be 1.25840 −1.94590 1.30460 −0.04297 1.0000
5 B 1.66720 −1.85560 1.60440 −0.65981 1.0000
6 C 1.70560 −1.56760 1.18930 −0.42715 1.0000
7 N 1.54940 −1.20190 0.51064 0.02472 1.0000
8 O 1.30530 −0.83742 −0.16738 0.47500 1.0000
9 F 1.16710 −0.63203 −0.40207 0.54352 1.0000
10 Ne 1.09310 −0.50221 −0.53648 0.60957 0.9995
11 Na 0.84558 −0.26294 −0.87884 0.76974 1.0000
12 Mg 0.71877 −0.13144 −1.20900 0.82738 1.0000
13 Al 0.67975 −0.08756 −0.95431 0.72294 1.0000
14 Si 0.70683 −0.09888 −0.98356 0.55631 1.0000
15 P 0.85532 −0.21262 −0.37390 0.20731 1.0000
16 S 1.10400 −0.40325 0.20094 −0.26058 1.0000
17 Cl 1.42320 −0.63936 0.84722 −0.76135 0.9995
18 Ar 1.82020 −0.92776 1.59220 −1.32510 0.9995
19 K 2.26550 −1.24530 2.38330 −1.91290 0.9990
20 Ca 2.71740 −1.55670 3.13170 −2.45670 0.9990
21 Sc 3.11730 −1.81380 3.71390 −2.85330 0.9990
22 Ti 3.45360 −2.01150 4.13170 −3.11710 0.9995
23 V 3.71270 −2.13920 4.34610 −3.22040 0.9995
24 Cr 3.87870 −2.19000 4.38670 −3.17520 1.0000
25 Mn 3.98550 −2.18850 4.27960 −3.02150 1.0000
26 Fe 3.99790 −2.11080 3.98170 −2.71990 1.0000
27 Co 3.95900 −1.99650 3.60630 −2.37050 1.0000
28 Ni 3.86070 −1.88690 3.12390 −1.94290 1.0000
29 Cu 3.72510 −1.65500 2.60290 −1.49760 0.9995
30 Zn 3.55950 −1.45100 2.03390 −1.02160 0.9995
31 Ga 3.37560 −1.23910 1.46160 −0.55471 0.9995
32 Ge 3.17800 −1.02230 0.89119 −0.09884 0.9995
33 As 2.97740 −0.81038 0.34861 0.32231 0.9995
34 Se 2.78340 −0.61110 −0.14731 0.69837 0.9995
35 Br 2.60610 −0.43308 −0.57381 1.00950 0.9995
36 Kr 2.44280 −0.27244 −0.95570 1.27070 0.9995
37 Rb 2.30990 −0.14328 −1.22600 1.45320 1.0000
38 Sr 2.21070 −0.04770 −1.41100 1.55410 1.0000
39 Y 2.14220 0.01935 −1.52240 1.59630 1.0000
40 Zr 2.12690 0.08618 −1.49190 1.51820 1.0000
41 Nb 2.12120 0.05381 −1.50070 1.50150 1.0000
42 Mo 2.18870 −0.00655 −1.25340 1.24010 1.0000
43 Tc 2.25730 −0.05737 −1.07450 1.06630 1.0000
44 Ru 2.37300 −0.15040 −0.77694 0.79060 0.9995
45 Rh 2.50990 −0.25906 −0.44719 0.49443 0.9995
46 Pd 2.67520 −0.39137 −0.05894 0.15404 0.9995
47 Ag 2.88690 −0.56119 0.42189 −0.25659 0.9990
48 Cd 3.08430 −0.71450 0.84482 −0.60990 0.9990
49 In 3.31400 −0.89697 1.35030 −1.03910 0.9990
50 Sn 3.49840 −1.02990 1.68990 −1.29860 0.9990
51 Sb 3.70410 −1.18270 2.08920 −1.61640 0.9990
52 Te 3.88240 −1.30980 2.41170 −1.86420 0.9990
53 I 4.08010 −1.45080 2.76730 −2.13920 0.9990
54 Xe 4.24610 −1.56330 3.04200 −2.34290 0.9990
55 Cs 4.38910 −1.65420 3.25450 −2.49220 0.9995
56 Ba 4.51070 −1.72570 3.41320 −2.59590 0.9995
57 La 4.60250 −1.77070 3.49970 −2.64050 0.9995
58 Ce 4.69060 −1.81790 3.60280 −2.70670 0.9995
59 Pr 4.72150 −1.81390 3.56480 −2.65180 0.9995
60 Nd 4.75090 −1.80800 3.51970 −2.59010 1.0000
61 Pm 4.74070 −1.76600 3.37430 −2.44210 1.0000
62 Sm 4.71700 −1.71410 3.20800 −2.28170 1.0000
63 Eu 4.66940 −1.64140 2.98580 −2.07460 1.0000
64 Gd 4.61010 −1.55750 2.73190 −1.84040 0.9995
65 Tb 4.52550 −1.45520 2.43770 −1.57950 0.9995
66 Dy 4.45230 −1.36440 2.17540 −1.34550 0.9990
67 Ho 4.37660 −1.27460 1.92540 −1.13090 0.9990
68 Er 4.29460 −1.18170 1.67060 −0.91467 0.9990
69 Tm 4.21330 −1.09060 1.42390 −0.70804 0.9990
70 Yb 4.13430 −1.00310 1.18810 −0.51120 0.9990
71 Lu 4.04230 −0.90518 0.92889 −0.29820 0.9990
72 Hf 3.95160 −0.80978 0.68951 −0.09620 0.9990
73 Ta 3.85000 −0.70599 0.41103 0.11842 0.9990
74 W 3.76510 −0.61807 0.18568 0.29787 0.9990
75 Re 3.67600 −0.52688 −0.04706 0.48180 0.9995
76 Os 3.60530 −0.45420 −0.22529 0.61700 0.9995
77 Ir 3.53130 −0.37856 −0.41174 0.75967 0.9995
78 Pt 3.47070 −0.31534 −0.56487 0.87492 0.9995
79 Au 3.41630 −0.25987 −0.69030 0.96224 0.9995
80 Hg 3.37350 −0.21428 −0.79013 1.02850 1.0000
81 Tl 3.34590 −0.18322 −0.84911 1.05970 1.0000
82 Pb 3.32330 −0.15596 −0.89878 1.08380 1.0000
83 Bi 3.31880 −0.14554 −0.90198 1.06850 1.0000
84 Po 3.32030 −0.13999 −0.89333 1.04380 1.0000
85 At 3.34250 −0.15317 −0.83350 0.97641 1.0000
86 Rn 3.37780 −0.17800 −0.74320 0.88510 1.0000
87 Fr 3.41990 −0.20823 −0.64000 0.78354 0.9995
88 Ra 3.47530 −0.25005 −0.50660 0.65836 0.9995
89 Ac 3.49020 −0.25109 −0.49651 0.64340 0.9995
90 Th 3.61060 −0.35409 −0.18926 0.36849 0.9995
91 Pa 3.68630 −0.41329 −0.01192 0.20878 0.9995
92 U 3.76650 −0.47542 0.16850 0.05060 0.9990
93 Np 3.82870 −0.51955 0.29804 −0.06566 0.9990
94 Pu 3.88970 −0.56296 0.42597 −0.18080 0.9990
95 Am 3.95060 −0.60554 0.54967 −0.29112 0.9985
96 Cm 4.01470 −0.65062 0.67922 −0.40588 0.9985
97 Bk 4.07780 −0.69476 0.80547 −0.51729 0.9985
98 Cf 4.14210 −0.73977 0.93342 −0.62981 0.9980