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. 4.3, pp. 284-285

Table 4.3.2.3 

J. M. Cowley,b‡ L. M. Peng,i G. Ren,j S. L. Dudarevc and M. J. Whelanc

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 [a_1] [a_2] [a_3] [a_4] [a_5] [b_1] [b_2] [b_3] [b_4] [b_5]
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