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. 282-283

Table 4.3.2.2 

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

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