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. 378-388

Table 4.3.3.2 

A. W. Ross,d M. Fink,d R. Hilderbrandt,f J. Wangk and V. H. Smith Jrk

Table 4.3.3.2 | top | pdf |
Inelastic scattering factors

Element H He Li Be B C N O F
Z 1 2 3 4 5 6 7 8 9
s                  
0 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
1 0.23712 0.20585 0.88290 1.11410 0.97969 0.82589 0.70270 0.64471 0.58625
2 0.62750 0.67665 1.29649 2.05741 2.35860 2.30155 2.12384 2.05154 1.93281
3 0.85836 1.15502 1.58907 2.33547 3.03124 3.35857 3.37855 3.44994 3.38314
4 0.95050 1.50584 1.89856 2.54347 3.31571 3.92722 4.23128 4.52527 4.60924
5 0.98252 1.72314 2.17978 2.76339 3.50570 4.23471 4.76279 5.26209 5.53803
6 0.99349 1.84691 2.41052 2.97864 3.68270 4.43840 5.09842 5.74264 6.19823
7 0.99740 1.91496 2.58662 3.17603 3.85613 4.60589 5.32971 6.05888 6.65331
8 0.99889 1.95208 2.71445 3.34823 4.02198 4.75972 5.50893 6.28032 6.96851
9 0.99949 1.97248 2.80427 3.49247 4.17553 4.90533 5.66203 6.45035 7.19556
10 0.99976 1.98385 2.86613 3.60942 4.31351 5.04263 5.80060 6.59304 7.36980
11 0.99988 1.99032 2.90828 3.70189 4.43432 5.17019 5.92915 6.72061 7.51316
12 0.99993 1.99407 2.93687 3.77366 4.53780 5.28663 6.04900 6.83868 7.63830
13 0.99996 1.99629 2.95627 3.82863 4.62485 5.39115 6.16020 6.94951 7.75211
14 0.99998 1.99763 2.96947 3.87036 4.69701 5.48356 6.26247 7.05375 7.85802
15 0.99999 1.99846 2.97851 3.90185 4.75615 5.56419 6.35555 7.15137 7.95762
16 0.99999 1.99898 2.98474 3.92555 4.80418 5.63375 6.43942 7.24214 8.05146
17 1.00000 1.99931 2.98907 3.94336 4.84294 5.69320 6.51429 7.32588 8.13968
18 1.00000 1.99953 2.99209 3.95676 4.87406 5.74363 6.58055 7.40250 8.22220
19 1.00000 1.99968 2.99423 3.96686 4.89897 5.78614 6.63878 7.47210 8.29896
20 1.00000 1.99977 2.99576 3.97448 4.91886 5.82179 6.68961 7.53488 8.36993
21 1.00000 1.99984 2.99685 3.98027 4.93474 5.85157 6.73375 7.59117 8.43516
22 1.00000 1.99988 2.99764 3.98466 4.94741 5.87639 6.77191 7.64136 8.49480
23 1.00000 1.99991 2.99822 3.98802 4.95752 5.89702 6.80478 7.68590 8.54904
24 1.00000 1.99994 2.99865 3.99060 4.96560 5.91415 6.83300 7.72528 8.59816
25 1.00000 1.99995 2.99897 3.99259 4.97207 5.92836 6.85718 7.75997 8.64246
26 1.00000 1.99996 2.99920 3.99413 4.97726 5.94015 6.87785 7.79043 8.68227
27 1.00000 1.99997 2.99938 3.99532 4.98143 5.94992 6.89550 7.81712 8.71793
28 1.00000 1.99998 2.99952 3.99626 4.98479 5.95804 6.91055 7.84046 8.74980
29 1.00000 1.99998 2.99962 3.99699 4.98750 5.96477 6.92339 7.86084 8.77820
30 1.00000 1.99999 2.99970 3.99757 4.98970 5.97038 6.93433 7.87860 8.80347
31 1.00000 1.99999 2.99976 3.99803 4.99149 5.97504 6.94365 7.89407 8.82591
32 1.00000 1.99999 2.99981 3.99840 4.99294 5.97893 6.95160 7.90753 8.84581
33 1.00000 1.99999 2.99985 3.99869 4.99413 5.98217 6.95838 7.91925 8.86344
34 1.00000 2.00000 2.99988 3.99892 4.99510 5.98489 6.96416 7.92943 8.87904
35 1.00000 2.00000 2.99990 3.99911 4.99590 5.98716 6.96910 7.93829 8.89284
36 1.00000 2.00000 2.99992 3.99927 4.99656 5.98907 6.97332 7.94600 8.90503
37 1.00000 2.00000 2.99993 3.99939 4.99711 5.99068 6.97693 7.95270 8.91581
38 1.00000 2.00000 2.99994 3.99949 4.99756 5.99203 6.98003 7.95854 8.92532
39 1.00000 2.00000 2.99995 3.99958 4.99794 5.99318 6.98268 7.96362 8.93373
40 1.00000 2.00000 2.99996 3.99964 4.99825 5.99414 6.98496 7.96804 8.94116
41 1.00000 2.00000 2.99997 3.99970 4.99851 5.99496 6.98692 7.97190 8.94772
42 1.00000 2.00000 2.99997 3.99975 4.99873 5.99566 6.98860 7.97526 8.95352
43 1.00000 2.00000 2.99998 3.99979 4.99891 5.99625 6.99006 7.97820 8.95864
44 1.00000 2.00000 2.99998 3.99982 4.99907 5.99675 6.99131 7.98077 8.96317
45 1.00000 2.00000 2.99998 3.99984 4.99920 5.99719 6.99240 7.98301 8.96718
46 1.00000 2.00000 2.99999 3.99987 4.99931 5.99755 6.99334 7.98498 8.97073
47 1.00000 2.00000 2.99999 3.99989 4.99940 5.99787 6.99415 7.98670 8.97387
48 1.00000 2.00000 2.99999 3.99990 4.99948 5.99814 6.99486 7.98822 8.97666
49 1.00000 2.00000 2.99999 3.99992 4.99955 5.99838 6.99547 7.98954 8.97913
50 1.00000 2.00000 2.99999 3.99993 4.99961 5.99858 6.99601 7.99071 8.98132
51 1.00000 2.00000 2.99999 3.99994 4.99966 5.99876 6.99647 7.99174 8.98327
52 1.00000 2.00000 2.99999 3.99995 4.99970 5.99891 6.99688 7.99264 8.98500
53 1.00000 2.00000 3.00000 3.99995 4.99974 5.99904 6.99724 7.99344 8.98654
54 1.00000 2.00000 3.00000 3.99996 4.99977 5.99915 6.99755 7.99415 8.98791
55 1.00000 2.00000 3.00000 3.99996 4.99980 5.99925 6.99783 7.99477 8.98913
56 1.00000 2.00000 3.00000 3.99997 4.99983 5.99934 6.99807 7.99532 8.99021
57 1.00000 2.00000 3.00000 3.99997 4.99985 5.99941 6.99828 7.99581 8.99119
58 1.00000 2.00000 3.00000 3.99998 4.99986 5.99948 6.99846 7.99624 8.99205
59 1.00000 2.00000 3.00000 3.99998 4.99988 5.99954 6.99863 7.99663 8.99283
60 1.00000 2.00000 3.00000 3.99998 4.99989 5.99959 6.99877 7.99697 8.99352

Element Ne Na Mg Al Si P S Cl Ar
Z 10 11 12 13 14 15 16 17 18
s                  
0 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
1 0.53234 1.20747 1.61544 1.72194 1.65386 1.53700 1.49816 1.42156 1.33265
2 1.80053 2.28779 2.94235 3.50721 3.78096 3.80549 3.95432 3.94695 3.84282
3 3.24475 3.49193 3.94530 4.52834 5.07436 5.40954 5.80343 6.00685 6.03450
4 4.54966 4.70014 5.01729 5.47022 6.01322 6.52767 7.06849 7.48589 7.72422
5 5.61925 5.77806 6.03833 6.41063 6.88008 7.40945 7.98702 8.53330 8.96990
6 6.44652 6.68058 6.94760 7.29048 7.71078 8.20204 8.75585 9.33634 9.88639
7 7.06089 7.40330 7.72396 8.07744 8.48211 8.94372 9.46405 10.03048 10.61498
8 7.50742 7.96372 8.36460 8.75902 9.17588 9.62983 10.12957 10.67346 11.25279
9 7.83224 8.39028 8.87926 9.33363 9.78380 10.25033 10.74677 11.27732 11.84272
10 8.07400 8.71388 9.28563 9.80759 10.30489 10.79947 11.30797 11.83831 12.39562
11 8.26134 8.96233 9.60450 10.19272 10.74365 11.27657 11.80888 12.35087 12.90995
12 8.41386 9.15796 9.85601 10.50348 11.10840 11.68496 12.24905 12.81180 13.38195
13 8.54414 9.31737 10.05748 10.75458 11.40955 12.03077 12.63101 13.22075 13.80922
14 8.65993 9.45219 10.22270 10.95937 11.65803 12.32173 12.95942 13.57972 14.19149
15 8.76576 9.57025 10.36206 11.12908 11.86416 12.56614 13.24013 13.89228 14.53031
16 8.86416 9.67661 10.48302 11.27266 12.03702 12.77207 13.47958 14.16303 14.82851
17 8.95646 9.77440 10.59078 11.39691 12.18418 12.94685 13.68412 14.39702 15.08974
18 9.04331 9.86554 10.68886 11.50688 12.31167 13.09681 13.85970 14.59936 15.31806
19 9.12498 9.95113 10.77955 11.60616 12.42419 13.22723 14.01162 14.77489 15.51761
20 9.20160 10.03176 10.86431 11.69727 12.52524 13.34234 14.14443 14.92805 15.69240
21 9.27319 10.10777 10.94406 11.78195 12.61744 13.44547 14.26190 15.06274 15.84616
22 9.33982 10.17933 11.01935 11.86133 12.70264 13.53918 14.36711 15.18230 15.98223
23 9.40157 10.24653 11.09051 11.93618 12.78217 13.62538 14.46250 15.28952 16.10354
24 9.45854 10.30944 11.15772 12.00698 12.85695 13.70552 14.54998 15.38669 16.21260
25 9.51090 10.36817 11.22111 12.07405 12.92761 13.78062 14.63102 15.47564 16.31151
26 9.55885 10.42279 11.28077 12.13758 12.99459 13.85143 14.70673 15.55783 16.40201
27 9.60262 10.47344 11.33679 12.19771 13.05816 13.91849 14.77793 15.63441 16.48552
28 9.64244 10.52026 11.38925 12.25454 13.11853 13.98216 14.84524 15.70626 16.56318
29 9.67857 10.56342 11.43824 12.30814 13.17583 14.04271 14.90911 15.77405 16.63589
30 9.71128 10.60310 11.48389 12.35861 13.23017 14.10034 14.96988 15.83830 16.70436
31 9.74083 10.63950 11.52631 12.40603 13.28163 14.15517 15.02777 15.89938 16.76915
32 9.76748 10.67281 11.56565 12.45048 13.33028 14.20732 15.08297 15.95759 16.83069
33 9.79146 10.70323 11.60205 12.49206 13.37621 14.25686 15.13561 16.01315 16.88931
34 9.81302 10.73097 11.63566 12.53089 13.41949 14.30387 15.18580 16.06621 16.94527
35 9.83238 10.75622 11.66665 12.56708 13.46020 14.34842 15.23360 16.11691 16.99876
36 9.84974 10.77917 11.69517 12.60075 13.49843 14.39057 15.27911 16.16535 17.04993
37 9.86530 10.80002 11.72137 12.63202 13.53427 14.43041 15.32237 16.21159 17.09890
38 9.87924 10.81893 11.74542 12.66102 13.56783 14.46799 15.36345 16.25573 17.14577
39 9.89171 10.83606 11.76747 12.68789 13.59919 14.50341 15.40243 16.29780 17.19062
40 9.90287 10.85158 11.78765 12.71273 13.62846 14.53673 15.43935 16.33789 17.23350
41 9.91286 10.86562 11.80612 12.73569 13.65576 14.56805 15.47428 16.37603 17.27449
42 9.92179 10.87832 11.82300 12.75688 13.68117 14.59744 15.50730 16.41229 17.31364
43 9.92977 10.88980 11.83842 12.77642 13.70481 14.62500 15.53847 16.44672 17.35099
44 9.93691 10.90018 11.85250 12.79442 13.72678 14.65080 15.56786 16.47938 17.38661
45 9.94330 10.90956 11.86534 12.81100 13.74718 14.67494 15.59554 16.51033 17.42053
46 9.94901 10.91803 11.87705 12.82625 13.76610 14.69750 15.62159 16.53964 17.45281
47 9.95412 10.92569 11.88773 12.84028 13.78364 14.71857 15.64608 16.56736 17.48351
48 9.95870 10.93260 11.89747 12.85317 13.79988 14.73823 15.66909 16.59355 17.51267
49 9.96279 10.93885 11.90634 12.86501 13.81492 14.75656 15.69068 16.61828 17.54035
50 9.96646 10.94449 11.91442 12.87589 13.82884 14.77364 15.71093 16.64161 17.56660
51 9.96974 10.94959 11.92178 12.88588 13.84172 14.78955 15.72991 16.66360 17.59148
52 9.97269 10.95420 11.92849 12.89505 13.85362 14.80435 15.74768 16.68431 17.61504
53 9.97533 10.95837 11.93460 12.90346 13.86462 14.81813 15.76432 16.70381 17.63733
54 9.97770 10.96214 11.94017 12.91118 13.87478 14.83093 15.77989 16.72216 17.65841
55 9.97983 10.96555 11.94525 12.91827 13.88417 14.84284 15.79444 16.73941 17.67833
56 9.98174 10.96863 11.94987 12.92477 13.89284 14.85390 15.80804 16.75562 17.69714
57 9.98346 10.97143 11.95409 12.93074 13.90085 14.86418 15.82075 16.77085 17.71490
58 9.98500 10.97396 11.95793 12.93621 13.90824 14.87373 15.83262 16.78514 17.73166
59 9.98639 10.97625 11.96143 12.94124 13.91507 14.88259 15.84370 16.79856 17.74746
60 9.98765 10.97832 11.96463 12.94585 13.92137 14.89082 15.85405 16.81114 17.76235

Element K Ca Sc Ti V Cr Mn Fe Co
Z 19 20 21 22 23 24 25 26 27
s                  
0 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
1 1.95409 2.48962 2.47505 2.41147 2.34470 1.87338 2.20760 2.15605 2.09981
2 4.16743 4.63722 4.74095 4.73155 4.71014 4.31232 4.61890 4.62675 4.60110
3 6.28656 6.63788 6.79142 6.81860 6.82580 6.58097 6.75751 6.80527 6.79526
4 8.01589 8.34650 8.56715 8.67221 8.74208 8.59326 8.76139 8.86447 8.88855
5 9.37354 9.75686 10.05075 10.24289 10.38420 10.33687 10.51832 10.68060 10.75511
6 10.40504 10.88531 11.27230 11.56360 11.78746 11.84876 12.05425 12.27171 12.40221
7 11.20105 11.76628 12.24977 12.64663 12.96597 13.14017 13.39278 13.66798 13.86069
8 11.85904 12.47072 13.02927 13.51955 13.93468 14.22015 14.54015 14.87959 15.14206
9 12.44416 13.06908 13.67229 14.23079 14.72718 15.11304 15.50762 15.91441 16.25102
10 12.98647 13.60753 14.23080 14.83118 15.38717 15.85527 16.31906 16.78966 17.19864
11 13.49465 14.10800 14.73745 15.35997 15.95492 16.48500 17.00553 17.53092 18.00479
12 13.96833 14.57744 15.20828 15.84156 16.46015 17.03426 17.59751 18.16629 18.69422
13 14.40504 15.01608 15.64906 16.28847 16.92150 17.52612 18.12000 18.72120 19.29164
14 14.80303 15.42228 16.06067 16.70589 17.34908 17.97537 18.59107 19.21579 19.81842
15 15.16201 15.79475 16.44246 17.09532 17.74762 18.39057 19.02256 19.66452 20.29119
16 15.48312 16.13321 16.79376 17.45682 18.11901 18.77626 19.42164 20.07700 20.72194
17 15.76851 16.43845 17.11456 17.79031 18.46388 19.13474 19.79241 20.45925 21.11878
18 16.02103 16.71212 17.40559 18.09602 18.78257 19.46719 20.13716 20.81484 21.48693
19 16.24393 16.95643 17.66824 18.37470 19.07558 19.77444 20.45724 21.14592 21.82968
20 16.44057 17.17399 17.90434 18.62758 19.34372 20.05728 20.75361 21.45382 22.14909
21 16.61428 17.36753 18.11606 18.85623 19.58811 20.31668 21.02715 21.73952 22.44651
22 16.76819 17.53980 18.30570 19.06249 19.81018 20.55380 21.27883 22.00392 22.72298
23 16.90520 17.69348 18.47561 19.24834 20.01151 20.77001 21.50974 22.24793 22.97940
24 17.02787 17.83103 18.62806 19.41579 20.19384 20.96677 21.72111 22.47258 23.21667
25 17.13845 17.95471 18.76522 19.56682 20.35893 21.14567 21.91428 22.67895 23.43574
26 17.23887 18.06655 18.88908 19.70334 20.50852 21.30828 22.09062 22.86824 23.63764
27 17.33077 18.16830 19.00144 19.82710 20.64429 21.45620 22.25155 23.04170 23.82343
28 17.41550 18.26148 19.10390 19.93973 20.76783 21.59092 22.39849 23.20059 23.99424
29 17.49419 18.34738 19.19786 20.04268 20.88059 21.71390 22.53279 23.34616 24.15122
30 17.56774 18.42708 19.28454 20.13724 20.98391 21.82646 22.65576 23.47965 24.29549
31 17.63689 18.50150 19.36496 20.22456 21.07897 21.92983 22.76860 23.60223 24.42819
32 17.70222 18.57136 19.44000 20.30560 21.16684 22.02511 22.87245 23.71501 24.55037
33 17.76420 18.63728 19.51040 20.38121 21.24845 22.11329 22.96833 23.81902 24.66306
34 17.82320 18.69974 19.57676 20.45211 21.32459 22.19525 23.05717 23.91523 24.76720
35 17.87951 18.75913 19.63959 20.51889 21.39596 22.27176 23.13979 24.00449 24.86369
36 17.93334 18.81578 19.69928 20.58206 21.46316 22.34348 23.21694 24.08758 24.95334
37 17.98488 18.86994 19.75618 20.64204 21.52669 22.41099 23.28926 24.16522 25.03688
38 18.03427 18.92181 19.81056 20.69918 21.58697 22.47478 23.35731 24.23800 25.11498
39 18.08161 18.97154 19.86264 20.75377 21.64436 22.53529 23.42158 24.30650 25.18823
40 18.12700 19.01926 19.91259 20.80603 21.69915 22.59286 23.48250 24.37117 25.25716
41 18.17051 19.06508 19.96056 20.85616 21.75159 22.64781 23.54043 24.43245 25.32224
42 18.21221 19.10909 20.00667 20.90432 21.80189 22.70038 23.59568 24.49069 25.38389
43 18.25215 19.15135 20.05100 20.95063 21.85021 22.75079 23.64851 24.54620 25.44246
44 18.29039 19.19192 20.09364 20.99521 21.89670 22.79921 23.69914 24.59926 25.49826
45 18.32697 19.23087 20.13466 21.03813 21.94146 22.84580 23.74777 24.65009 25.55156
46 18.36193 19.26822 20.17411 21.07948 21.98460 22.89069 23.79455 24.69889 25.60260
47 18.39533 19.30404 20.21204 21.11931 22.02620 22.93396 23.83961 24.74583 25.65158
48 18.42720 19.33836 20.24849 21.15767 22.06632 22.97572 23.88308 24.79104 25.69868
49 18.45760 19.37122 20.28352 21.19462 22.10502 23.01604 23.92503 24.83464 25.74404
50 18.48657 19.40267 20.31714 21.23020 22.14236 23.05497 23.96556 24.87675 25.78778
51 18.51415 19.43274 20.34941 21.26443 22.17837 23.09258 24.00473 24.91744 25.83002
52 18.54040 19.46147 20.38036 21.29737 22.21309 23.12890 24.04261 24.95678 25.87085
53 18.56535 19.48890 20.41003 21.32904 22.24656 23.16398 24.07923 24.99485 25.91035
54 18.58906 19.51509 20.43845 21.35948 22.27882 23.19785 24.11464 25.03170 25.94858
55 18.61157 19.54005 20.46565 21.38871 22.30989 23.23056 24.14889 25.06736 25.98561
56 18.63294 19.56385 20.49168 21.41677 22.33980 23.26212 24.18200 25.10189 26.02148
57 18.65319 19.58651 20.51656 21.44370 22.36859 23.29257 24.21401 25.13532 26.05624
58 18.67240 19.60808 20.54034 21.46952 22.39628 23.32193 24.24495 25.16768 26.08992
59 18.69058 19.62860 20.56305 21.49427 22.42290 23.35024 24.27484 25.19900 26.12257
60 18.70781 19.64811 20.58472 21.51797 22.44848 23.37752 24.30371 25.22931 26.15420

Element Ni Cu Zn Ga Ge As Se Br Kr
Z 28 29 30 31 32 33 34 35 36
s                  
0 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
1 2.04471 1.69573 1.93762 2.05186 2.02388 1.94862 1.96187 1.92529 1.86388
2 4.57025 4.20291 4.48366 4.79699 4.96356 4.96762 5.16391 5.22242 5.17677
3 6.78094 6.60632 6.71087 6.99727 7.31756 7.53254 7.87187 8.08782 8.15809
4 8.90504 8.78952 8.87296 9.07164 9.37130 9.69780 10.09282 10.44730 10.70005
5 10.81621 10.72987 10.85168 11.03258 11.28885 11.60839 11.98915 12.39473 12.77835
6 12.51132 12.47751 12.62492 12.81781 13.06230 13.35790 13.70612 14.09835 14.51642
7 14.02217 14.05989 14.22287 14.42883 14.67729 14.96447 15.29281 15.66034 16.06428
8 15.36345 15.48041 15.66617 15.88673 16.14378 16.43328 16.75585 17.10934 17.49432
9 16.53914 16.73670 16.96032 17.20429 17.47556 17.77364 18.09916 18.44981 18.82545
10 17.55583 17.83189 18.10676 18.38602 18.68056 18.99403 19.32906 19.68468 20.06045
11 18.42792 18.77754 19.11098 19.43536 19.76289 20.09987 20.45124 20.81812 21.20099
12 19.17588 19.59174 19.98462 20.35933 20.72723 21.09536 21.47006 21.85427 22.24990
13 19.82231 20.29556 20.74392 21.16939 21.58126 21.98591 22.38987 22.79705 23.21055
14 20.38840 20.90979 21.40691 21.87992 22.33572 22.77927 23.21633 23.65097 24.08679
15 20.89193 21.45278 21.99101 22.50626 23.00321 23.48524 23.95687 24.42167 24.88315
16 21.34665 21.93949 22.51151 23.06295 23.59669 24.11476 24.62031 25.11610 25.60513
17 21.76253 22.38138 22.98092 23.56269 24.12833 24.67882 25.21613 25.74214 26.25912
18 22.14646 22.78682 23.40889 24.01592 24.60873 25.18761 25.75365 26.30797 26.85209
19 22.50302 23.16168 23.80261 24.43082 25.04664 25.65004 26.24150 26.82157 27.39114
20 22.83520 23.51000 24.16724 24.81353 25.44900 26.07350 26.68718 27.29024 27.88309
21 23.14497 23.83452 24.50642 25.16859 25.82113 26.46391 27.09700 27.72039 28.33419
22 23.43371 24.13716 24.82271 25.49929 26.16701 26.82591 27.47606 28.11740 28.74992
23 23.70247 24.41932 25.11795 25.80799 26.48960 27.16300 27.82837 28.48569 29.13493
24 23.95219 24.68209 25.39353 26.09645 26.79109 27.47786 28.15706 28.82879 29.49305
25 24.18376 24.92646 25.65055 26.36601 27.07314 27.77250 28.46453 29.14946 29.82740
26 24.39808 25.15335 25.88998 26.61776 27.33704 28.04847 28.75264 29.44989 30.14045
27 24.59612 25.36367 26.11272 26.85266 27.58385 28.30702 29.02284 29.73179 30.43417
28 24.77888 25.55837 26.31965 27.07158 27.81449 28.54916 29.27632 29.99650 30.71014
29 24.94740 25.73841 26.51166 27.27537 28.02983 28.77579 29.51404 30.24515 30.96963
30 25.10270 25.90478 26.68965 27.46487 28.23066 28.98774 29.73688 30.47868 31.21369
31 25.24584 26.05845 26.85452 27.64092 28.41779 29.18578 29.94561 30.69790 31.44321
32 25.37784 26.20040 27.00720 27.80439 28.59202 29.37066 30.14099 30.90357 31.65898
33 25.49968 26.33158 27.14857 27.95609 28.75413 29.54314 30.32373 31.09639 31.86171
34 25.61229 26.45293 27.27951 28.09689 28.90492 29.70396 30.49453 31.27706 32.05209
35 25.71658 26.56530 27.40089 28.22758 29.04515 29.85384 30.65409 31.44623 32.23076
36 25.81336 26.66955 27.51352 28.34897 29.17560 29.99353 30.80309 31.60456 32.39834
37 25.90339 26.76643 27.61817 28.46182 29.29699 30.12372 30.94223 31.75270 32.55546
38 25.98737 26.85668 27.71557 28.56685 29.41005 30.24510 31.07215 31.89127 32.70272
39 26.06594 26.94095 27.80641 28.66476 29.51546 30.35836 31.19351 32.02090 32.84072
40 26.13966 27.01985 27.89131 28.75617 29.61385 30.46411 31.30692 32.14220 32.97004
41 26.20905 27.09393 27.97085 28.84170 29.70584 30.56298 31.41300 32.25575 33.09125
42 26.27456 27.16367 28.04555 28.92188 29.79200 30.65553 31.51232 32.36212 33.20489
43 26.33659 27.22952 28.11590 28.99724 29.87284 30.74230 31.60540 32.46184 33.31151
44 26.39551 27.29187 28.18232 29.06822 29.94886 30.82380 31.69278 32.55544 33.41161
45 26.45162 27.35108 28.24521 29.13525 30.02050 30.90049 31.77492 32.64339 33.50568
46 26.50519 27.40746 28.30490 29.19870 30.08816 30.97279 31.85227 32.72615 33.59417
47 26.55647 27.46126 28.36171 29.25892 30.15222 31.04111 31.92524 32.80415 33.67753
48 26.60565 27.51275 28.41590 29.31621 30.21302 31.10580 31.99422 32.87778 33.75616
49 26.65293 27.56211 28.46773 29.37085 30.27084 31.16719 32.05955 32.94742 33.83044
50 26.69844 27.60954 28.51740 29.42307 30.32596 31.22558 32.12156 33.01340 33.90072
51 26.74233 27.65519 28.56509 29.47310 30.37863 31.28122 32.18052 33.07602 33.96734
52 26.78471 27.69920 28.61097 29.52111 30.42906 31.33437 32.23672 33.13559 34.03060
53 26.82567 27.74169 28.65519 29.56728 30.47743 31.38524 32.29038 33.19235 34.09077
54 26.86530 27.78276 28.69787 29.61175 30.52393 31.43403 32.34172 33.24654 34.14811
55 26.90368 27.82249 28.73910 29.65465 30.56870 31.48089 32.39094 33.29838 34.20285
56 26.94086 27.86098 28.77900 29.69610 30.61187 31.52600 32.43820 33.34806 34.25521
57 26.97690 27.89827 28.81764 29.73619 30.65357 31.56948 32.48367 33.39576 34.30537
58 27.01185 27.93444 28.85509 29.77501 30.69389 31.61145 32.52749 33.44162 34.35352
59 27.04575 27.96953 28.89142 29.81264 30.73292 31.65203 32.56977 33.48580 34.39980
60 27.07863 28.00358 28.92667 29.84914 30.77075 31.69130 32.61063 33.52842 34.44437

Element Rb Sr Y Zr Nb Mo Tc Ru Rh
Z 37 38 39 40 41 42 43 44 45
s                  
0 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
1 2.47108 3.04685 3.14857 3.13536 2.71132 2.62807 2.98330 2.57466 2.52855
2 5.52799 5.98984 6.23152 6.31697 6.07762 6.02878 6.36677 6.13781 6.12994
3 8.42971 8.78804 9.05817 9.20196 9.10320 9.08596 9.36034 9.30184 9.34697
4 10.98758 11.30230 11.58543 11.79126 11.80981 11.84206 12.07333 12.11783 12.19330
5 13.15459 13.52254 13.85142 14.12392 14.25176 14.35492 14.55835 14.70247 14.80976
6 14.95100 15.38843 15.79296 16.15287 16.39784 16.60221 16.83500 17.06754 17.22869
7 16.50508 16.96971 17.42770 17.86266 18.21807 18.53376 18.84164 19.15747 19.39679
8 17.91915 18.37743 18.85174 19.32606 19.75964 20.16607 20.55607 20.94877 21.27607
9 19.23525 19.67796 20.14726 20.63128 21.10549 21.56834 22.02040 22.47422 22.88053
10 20.46323 20.89436 21.35427 21.83462 22.32362 22.81354 23.30155 23.79566 24.26063
11 21.60452 22.03122 22.48536 22.96037 23.45249 23.95215 24.45652 24.97275 25.47475
12 22.66058 23.08945 23.54310 24.01599 24.50867 25.01107 25.52134 26.04805 26.57052
13 23.63390 24.07058 24.52855 25.00342 25.49806 26.00220 26.51474 27.04651 27.57948
14 24.52760 24.97699 25.44341 25.92401 26.42303 26.93042 27.44542 27.98082 28.51972
15 25.34529 25.81159 26.29007 26.77965 27.28544 27.79829 28.31748 28.85706 29.40064
16 26.09128 26.57772 27.07138 27.57279 28.08753 28.60801 29.13355 29.67848 30.22717
17 26.77063 27.27935 27.79065 28.30631 28.83193 29.36203 29.89596 30.44747 31.00229
18 27.38906 27.92103 28.45165 28.98346 29.52168 30.06306 30.60716 31.16636 31.72846
19 27.95268 28.50783 29.05861 29.60784 30.16004 30.71409 31.26982 31.83769 32.40810
20 28.46765 29.04513 29.61611 30.18338 30.75055 31.31829 31.88675 32.46417 33.04374
21 28.93986 29.53825 30.12888 30.71422 31.29692 31.87899 32.46091 33.04863 33.63805
22 29.37468 29.99232 30.60160 31.20455 31.80291 32.39960 32.99536 33.59396 34.19377
23 29.77685 30.41201 31.03868 31.65846 32.27225 32.88351 33.49318 34.10309 34.71364
24 30.15044 30.80144 31.44418 32.07980 32.70854 33.33406 33.95743 34.57888 35.20037
25 30.49879 31.16418 31.82168 32.47208 33.11511 33.75438 34.39106 35.02411 35.65660
26 30.82469 31.50320 32.17429 32.83842 33.49499 34.14739 34.79684 35.44141 36.08482
27 31.13035 31.82098 32.50463 33.18153 33.85088 34.51575 35.17737 35.83324 36.48738
28 31.41757 32.11952 32.81489 33.50371 34.18512 34.86180 35.53497 36.20184 36.86647
29 31.68781 32.40048 33.10687 33.80689 34.49971 35.18758 35.87171 36.54925 37.22407
30 31.94225 32.66518 33.38206 34.09271 34.79636 35.49488 36.18941 36.87726 37.56196
31 32.18187 32.91474 33.64170 34.36249 35.07650 35.78518 36.48965 37.18746 37.88172
32 32.40754 33.15010 33.88680 34.61738 35.34134 36.05979 36.77377 37.48122 38.18473
33 32.61999 33.37204 34.11825 34.85831 35.59190 36.31977 37.04294 37.75971 38.47222
34 32.81991 33.58129 34.33679 35.08610 35.82904 36.56607 37.29814 38.02398 38.74524
35 33.00795 33.77849 34.54311 35.30147 36.05353 36.79949 37.54022 38.27490 39.00470
36 33.18470 33.96426 34.73782 35.50504 36.26602 37.02072 37.76993 38.51325 39.25140
37 33.35077 34.13916 34.92149 35.69741 36.46712 37.23038 37.98791 38.73969 39.48604
38 33.50674 34.30375 35.09466 35.87911 36.65738 37.42904 38.19475 38.95482 39.70923
39 33.65317 34.45859 35.25788 36.05068 36.83731 37.61721 38.39097 39.15918 39.92152
40 33.79063 34.60420 35.41165 36.21259 37.00740 37.79540 38.57707 39.35328 40.12342
41 33.91965 34.74111 35.55648 36.36536 37.16815 37.96406 38.75351 39.53756 40.31539
42 34.04078 34.86983 35.69286 36.50944 37.31999 38.12364 38.92072 39.71247 40.49786
43 34.15452 34.99086 35.82127 36.64531 37.46339 38.27458 39.07914 39.87842 40.67125
44 34.26139 35.10468 35.94218 36.77342 37.59879 38.41732 39.22917 40.03581 40.83593
45 34.36186 35.21178 36.05605 36.89421 37.72663 38.55226 39.37123 40.18504 40.99231
46 34.45640 35.31260 36.16334 37.00813 37.84731 38.67981 39.50570 40.32650 41.14075
47 34.54543 35.40758 36.26446 37.11559 37.96126 38.80039 39.63297 40.46055 41.28160
48 34.62938 35.49713 36.35984 37.21700 38.06888 38.91438 39.75343 40.58757 41.41524
49 34.70863 35.58165 36.44986 37.31275 38.17056 39.02216 39.86744 40.70792 41.54201
50 34.78356 35.66151 36.53491 37.40322 38.26666 39.12409 39.97536 40.82195 41.66225
51 34.85449 35.73706 36.61534 37.48878 38.35755 39.22055 40.07755 40.93001 41.77630
52 34.92175 35.80863 36.69148 37.56975 38.44358 39.31186 40.17434 41.03243 41.88449
53 34.98564 35.87653 36.76366 37.64647 38.52507 39.39836 40.26607 41.12953 41.98714
54 35.04642 35.94105 36.83217 37.71924 38.60233 39.48037 40.35304 41.22163 42.08455
55 35.10435 36.00244 36.89729 37.78834 38.67566 39.55818 40.43556 41.30903 42.17703
56 35.15964 36.06095 36.95927 37.85405 38.74534 39.63208 40.51392 41.39202 42.26486
57 35.21253 36.11682 37.01836 37.91662 38.81162 39.70233 40.58838 41.47088 42.34833
58 35.26319 36.17023 37.07477 37.97628 38.87475 39.76919 40.65921 41.54587 42.42770
59 35.31180 36.22140 37.12872 38.03324 38.93497 39.83290 40.72666 41.61725 42.50322
60 35.35851 36.27048 37.18038 38.08771 38.99247 39.89368 40.79095 41.68524 42.57515

Element Pd Ag Cd In Sn Sb Te I Xe
Z 46 47 48 49 50 51 52 53 54
s                  
0 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
1 2.13081 2.42343 2.70975 2.83441 2.81535 2.73816 2.77296 2.74654 2.68555
2 5.95961 6.03591 6.30459 6.63451 6.84114 6.87653 7.11536 7.21010 7.17883
3 9.23632 9.33858 9.51999 9.81909 10.16026 10.44583 10.81525 11.09773 11.24839
4 12.07598 12.23784 12.46054 12.72978 13.05475 13.41599 13.82032 14.22622 14.58946
5 14.75560 14.90041 15.11768 15.37682 15.67918 16.02031 16.40069 16.81256 17.24286
6 17.27178 17.40539 17.59096 17.82417 18.10185 18.41562 18.76463 19.14401 19.55212
7 19.54545 19.71426 19.90073 20.11901 20.37444 20.66395 20.98609 21.33615 21.71173
8 21.52940 21.77057 22.00282 22.24093 22.49751 22.77720 23.08280 23.41315 23.76633
9 23.22845 23.55443 23.85882 24.14878 24.43757 24.73296 25.04189 25.36736 25.71067
10 24.68459 25.08751 25.46742 25.82409 26.16687 26.50212 26.83738 27.17764 27.52690
11 25.95299 26.41494 26.85884 27.28022 27.68354 28.07182 28.45037 28.82353 29.19578
12 27.08363 27.58563 28.07659 28.55092 29.00920 29.45143 29.87984 30.29667 30.70506
13 28.11340 28.64026 29.16253 29.67532 30.17704 30.66588 31.14154 31.60411 32.05470
14 29.06590 29.60758 30.14943 30.68802 31.22095 31.74576 32.26075 32.76453 33.25645
15 29.95479 30.50579 31.05985 31.61513 32.16920 32.71973 33.26464 33.80183 34.32964
16 30.78766 31.34559 31.90798 32.47438 33.04260 33.61083 34.17721 34.73959 35.29596
17 31.56892 32.13323 32.70240 33.27702 33.85522 34.43575 35.01722 35.59782 36.17566
18 32.30163 32.87265 33.44836 34.03004 34.61612 35.20579 35.79817 36.39189 36.98544
19 32.98838 33.56677 34.14941 34.73796 35.33110 35.92835 36.52924 37.13281 37.73796
20 33.63173 34.21817 34.80832 35.40399 36.00409 36.60835 37.21658 37.82815 38.44232
21 34.23429 34.82936 35.42759 36.03077 36.63803 37.24925 37.86439 38.48306 39.10481
22 34.79871 35.40286 36.00964 36.62069 37.23540 37.85373 38.47574 39.10122 39.72986
23 35.32765 35.94119 36.55686 37.17607 37.79848 38.42413 39.05314 39.68537 40.32066
24 35.82374 36.44685 37.07161 37.69917 38.32947 38.96261 39.59874 40.23781 40.87972
25 36.28950 36.92226 37.55620 38.19222 38.83052 39.47124 40.11461 40.76059 41.40916
26 36.72736 37.36974 38.01286 38.65737 39.30370 39.95205 40.60268 41.25563 41.91088
27 37.13958 37.79149 38.44370 39.09668 39.75100 40.40697 41.06486 41.72476 42.38669
28 37.52826 38.18955 38.85072 39.51207 40.17433 40.83784 41.50293 42.16973 42.83831
29 37.89533 38.56581 39.23576 39.90537 40.57546 41.24642 41.91862 42.59223 43.26737
30 38.24253 38.92198 39.60052 40.27825 40.95605 41.63434 42.31353 42.99385 43.67544
31 38.57142 39.25963 39.94654 40.63222 41.31759 42.00309 42.68916 43.37606 44.06399
32 38.88338 39.58012 40.27521 40.96869 41.66149 42.35407 43.04689 43.74024 44.43437
33 39.17963 39.88470 40.58776 41.28889 41.98898 42.68851 43.38796 44.08765 44.78786
34 39.46123 40.17445 40.88531 41.59393 42.30118 43.00755 43.71351 44.41943 45.12561
35 39.72910 40.45030 41.16881 41.88479 42.59909 43.31218 44.02456 44.73661 45.44865
36 39.98406 40.71310 41.43912 42.16236 42.88359 43.60332 44.32203 45.04011 45.75792
37 40.22683 40.96359 41.69700 42.42739 43.15548 43.88176 44.60672 45.33077 46.05429
38 40.45802 41.20239 41.94311 42.68057 43.41544 44.14821 44.87936 45.60932 46.33848
39 40.67820 41.43009 42.17803 42.92249 43.66408 44.40329 45.14059 45.87642 46.61118
40 40.88788 41.64720 42.40230 43.15369 43.90195 44.64756 45.39097 46.13264 46.87297
41 41.08751 41.85418 42.61638 43.37466 44.12954 44.88151 45.63102 46.37851 47.12440
42 41.27753 42.05147 42.82071 43.58582 44.34730 45.10560 45.86118 46.61449 47.36592
43 41.45833 42.23947 43.01568 43.78758 44.55561 45.32023 46.08187 46.84098 47.59796
44 41.63032 42.41855 43.20167 43.98031 44.75486 45.52577 46.29346 47.05837 47.82090
45 41.79386 42.58909 43.37904 44.16435 44.94538 45.72255 46.49628 47.26699 48.03509
46 41.94930 42.75142 43.54813 44.34004 45.12751 45.91091 46.69066 47.46717 48.24083
47 42.09701 42.90589 43.70925 44.50771 45.30155 46.09115 46.87690 47.65920 48.43843
48 42.23733 43.05284 43.86275 44.66765 45.46779 46.26354 47.05527 47.84334 48.62815
49 42.37059 43.19258 44.00892 44.82017 45.62655 46.42839 47.22605 48.01988 48.81026
50 42.49714 43.32545 44.14808 44.96556 45.77809 46.58596 47.38950 48.18906 48.98499
51 42.61729 43.45175 44.28053 45.10413 45.92270 46.73651 47.54589 48.35114 49.15259
52 42.73137 43.57180 44.40658 45.23615 46.06065 46.88032 47.69546 48.50634 49.31330
53 42.83969 43.68589 44.52650 45.36191 46.19222 47.01765 47.83846 48.65492 49.46733
54 42.94256 43.79434 44.64060 45.48169 46.31767 47.14874 47.97514 48.79711 49.61492
55 43.04027 43.89743 44.74916 45.59576 46.43727 47.27386 48.10575 48.93314 49.75629
56 43.13311 43.99544 44.85245 45.70439 46.55128 47.39326 48.23052 49.06324 49.89165
57 43.22136 44.08864 44.95074 45.80784 46.65995 47.50718 48.34969 49.18764 50.02123
58 43.30529 44.17732 45.04430 45.90638 46.76355 47.61588 48.46350 49.30657 50.14524
59 43.38515 44.26171 45.13338 46.00026 46.86231 47.71958 48.57219 49.42024 50.26389
60 43.46119 44.34207 45.21823 46.08971 46.95647 47.81853 48.67597 49.52889 50.37741

Element Cs Ba La Ce Pr Nd Pm Sm Eu
Z 55 56 57 58 59 60 61 62 63
s                  
0 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
1 3.26056 3.86513 3.98173 3.82992 3.79780 3.76602 3.73391 3.70093 3.66574
2 7.51043 7.93796 8.16628 7.95853 7.92593 7.89361 7.86055 7.81853 7.76614
3 11.50727 11.82172 12.07836 11.89091 11.86936 11.85347 11.84146 11.81226 11.76155
4 14.94313 15.29163 15.59334 15.41466 15.40728 15.40977 15.42104 15.40725 15.35978
5 17.68653 18.13325 18.54373 18.38275 18.42223 18.46877 18.52393 18.54486 18.51896
6 19.99684 20.46851 20.94271 20.84073 20.93672 21.03547 21.14100 21.20679 21.21677
7 22.12327 22.56799 23.03816 23.01484 23.15493 23.29454 23.43911 23.54344 23.58933
8 24.14779 24.55922 25.00033 25.04584 25.21725 25.38565 25.55681 25.69054 25.76819
9 26.07414 26.46226 26.87743 26.97495 27.17051 27.36050 27.55050 27.70729 27.81321
10 27.88767 28.26625 28.66647 28.80594 29.02323 29.23184 29.43711 29.61325 29.74482
11 29.57070 29.95527 30.35349 30.53305 30.77376 31.00189 31.22252 31.41694 31.57265
12 31.10881 31.51424 31.92398 32.14682 32.41595 32.66791 32.90744 33.12205 33.30236
13 32.49628 32.93352 33.36671 33.63749 33.94154 34.22365 34.48807 34.72733 34.93493
14 33.73826 34.21247 34.67707 34.99934 35.34403 35.66263 35.95863 36.22826 36.46740
15 34.84870 35.35955 35.85864 36.23339 36.62203 36.98171 37.31495 37.62034 37.89555
16 35.84631 36.38969 36.92200 37.34741 37.78028 38.18301 38.55691 38.90190 39.21679
17 36.75052 37.32054 37.88201 38.35393 38.82863 39.27368 39.68908 40.07535 40.43188
18 37.57867 38.16937 38.75472 39.26759 39.77988 40.26438 40.71987 41.14694 41.54518
19 38.34476 38.95105 39.55512 40.10283 40.64762 41.16740 41.65990 42.12558 42.56396
20 39.05936 39.67740 40.29583 40.87249 41.44464 41.99498 42.52055 43.02149 43.49721
21 39.73002 40.35724 40.98674 41.58717 42.18196 42.75827 43.31265 43.84501 44.35455
22 40.36211 40.99692 41.63525 42.25515 42.86863 43.46675 44.04590 44.60572 45.14531
23 40.95944 41.60099 42.24674 42.88273 43.51172 44.12817 44.72844 45.31205 45.87800
24 41.52485 42.17275 42.82512 43.47463 44.11671 44.74866 45.36699 45.97111 46.56001
25 42.06062 42.71475 43.37330 44.03444 44.68778 45.33303 45.96689 46.58874 47.19760
26 42.56873 43.22905 43.89358 44.56494 45.22821 45.88506 46.53242 47.16970 47.79597
27 43.05095 43.71747 44.38788 45.06842 45.74062 46.40777 47.06702 47.71785 48.35940
28 43.50897 44.18169 44.85790 45.54682 46.22720 46.90364 47.57351 48.23636 48.89142
29 43.94439 44.62325 45.30520 46.00186 46.68983 47.37476 48.05422 48.72785 49.39496
30 44.35873 45.04367 45.73127 46.43513 47.13020 47.82296 48.51119 49.19458 49.87253
31 44.75343 45.44433 46.13749 46.84809 47.54986 48.24990 48.94618 49.63849 50.32626
32 45.12986 45.82660 46.52519 47.24213 47.95022 48.65706 49.36081 50.06129 50.75804
33 45.48926 46.19170 46.89561 47.61852 48.33261 49.04583 49.75652 50.46456 51.16953
34 45.83279 46.54079 47.24991 47.97846 48.69825 49.41747 50.13464 50.84968 51.56224
35 46.16150 46.87495 47.58915 48.32305 49.04827 49.77315 50.49640 51.21796 51.93753
36 46.47636 47.19512 47.91432 48.65331 49.38372 50.11396 50.84292 51.57057 52.29665
37 46.77820 47.50220 48.22631 48.97016 49.70555 50.44089 51.17523 51.90859 52.64073
38 47.06781 47.79696 48.52592 49.27443 50.01462 50.75482 51.49427 52.23300 52.97081
39 47.34587 48.08010 48.81386 49.56689 50.31171 51.05658 51.80089 52.54470 53.28783
40 47.61299 48.35226 49.09079 49.84820 50.59753 51.34690 52.09586 52.84449 53.59264
41 47.86970 48.61399 49.35727 50.11898 50.87271 51.62645 52.37989 53.13312 53.88602
42 48.11650 48.86579 49.61382 50.37975 51.13781 51.89581 52.65358 53.41122 54.16865
43 48.35382 49.10810 49.86090 50.63099 51.39333 52.15551 52.91750 53.67940 54.44116
44 48.58204 49.34133 50.09891 50.87315 51.63972 52.40602 53.17213 53.93818 54.70412
45 48.80151 49.56583 50.32821 51.10658 51.87737 52.64775 53.41794 54.18803 54.95801
46 49.01255 49.78191 50.54913 51.33164 52.10664 52.88109 53.65529 54.42936 55.20329
47 49.21545 49.98988 50.76197 51.54863 52.32785 53.10636 53.88456 54.66254 55.44034
48 49.41048 50.19001 50.96700 51.75783 52.54128 53.32387 54.10604 54.88791 55.66953
49 49.59791 50.38254 51.16446 51.95950 52.74720 53.53388 54.32003 55.10577 55.89117
50 49.77796 50.56773 51.35460 52.15386 52.94584 53.73663 54.52677 55.31637 56.10553
51 49.95088 50.74578 51.53763 52.34116 53.13743 53.93236 54.72650 55.51997 56.31287
52 50.11688 50.91692 51.71377 52.52158 53.32217 54.12127 54.91942 55.71677 56.51342
53 50.27620 51.08137 51.88321 52.69532 53.50027 54.30355 55.10575 55.90699 56.70740
54 50.42903 51.23932 52.04615 52.86259 53.67190 54.47940 55.28566 56.09081 56.89499
55 50.57560 51.39097 52.20279 53.02357 53.83725 54.64898 55.45932 56.26840 57.07636
56 50.71611 51.53654 52.35332 53.17843 53.99650 54.81247 55.62691 56.43994 57.25170
57 50.85077 51.67621 52.49792 53.32736 54.14981 54.97004 55.78858 56.60557 57.42115
58 50.97979 51.81018 52.63677 53.47053 54.29736 55.12184 55.94450 56.76546 57.58487
59 51.10338 51.93866 52.77008 53.60813 54.43931 55.26804 56.09482 56.91976 57.74301
60 51.22173 52.06182 52.89802 53.74033 54.57584 55.40880 56.23968 57.06860 57.89571

Element Gd Tb Dy Ho Er Tm Yb Lu Hf
Z 64 65 66 67 68 69 70 71 72
s                  
0 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
1 3.71361 3.61003 3.58129 3.55174 3.52320 3.49352 3.46493 3.55150 3.53769
2 7.85846 7.71283 7.67561 7.63634 7.60049 7.56010 7.51513 7.64243 7.65165
3 11.87023 11.75719 11.73154 11.70630 11.68736 11.65817 11.61547 11.69634 11.69972
4 15.51039 15.40658 15.39347 15.38593 15.38890 15.37564 15.33913 15.42634 15.47770
5 18.74647 18.64177 18.65196 18.67051 18.70234 18.71081 18.68517 18.82076 18.94311
6 21.51468 21.43284 21.47837 21.53281 21.60137 21.64017 21.63498 21.83614 22.03782
7 23.91627 23.88725 23.96877 24.05874 24.16249 24.23254 24.25196 24.49728 24.75775
8 26.09535 26.12906 26.24261 26.36312 26.49629 26.59446 26.63899 26.90009 27.18736
9 28.13360 28.22255 28.36456 28.51140 28.66909 28.79252 28.86244 29.12578 29.41882
10 30.06041 30.19256 30.35998 30.52974 30.70818 30.85451 30.94989 31.21431 31.50686
11 31.88606 32.05250 32.24256 32.43217 32.62811 32.79487 32.91479 33.18232 33.47536
12 33.61615 33.81265 34.02361 34.23101 34.44208 34.62698 34.76985 35.04127 35.33636
13 35.25308 35.47907 35.71101 35.93593 36.16142 36.36324 36.52769 36.80277 37.10023
14 36.79567 37.05282 37.30767 37.55182 37.79297 38.01213 38.19791 38.47694 38.77678
15 38.24058 38.53150 38.81250 39.07905 39.33878 39.57731 39.78550 40.07028 40.37345
16 39.58478 39.91198 40.22273 40.51552 40.79768 41.05867 41.29145 41.58529 41.89416
17 40.82754 41.19272 41.53630 41.85898 42.16747 42.45440 42.71447 43.02162 43.33975
18 41.97127 42.37492 42.75330 43.10864 43.44678 43.76280 44.05283 44.37769 44.70926
19 43.02132 43.46263 43.87646 44.26601 44.63605 44.98352 45.30566 45.65219 46.00131
20 43.98512 44.46218 44.91082 45.33481 45.73781 46.11808 46.47366 46.84497 47.21519
21 44.87117 45.38131 45.86307 46.32062 46.75648 47.16983 47.55927 47.95743 48.35143
22 45.68820 46.22827 46.74079 47.23010 47.69780 48.14358 48.56642 48.99245 49.41196
23 46.44445 47.01119 47.55172 48.07047 48.56826 49.04508 49.50015 49.95417 50.39996
24 47.14738 47.73763 48.30329 48.84887 49.37460 49.88057 50.36614 50.84752 51.31957
25 47.80343 48.41429 49.00232 49.57206 50.12337 50.65631 51.17032 51.67789 52.17554
26 48.41809 49.04700 49.65483 50.24620 50.82069 51.37830 51.91852 52.45076 52.97288
27 48.99594 49.64070 50.26607 50.87671 51.47209 52.05210 52.61627 53.17146 53.71663
28 49.54081 50.19957 50.84048 51.46830 52.08245 52.68272 53.26864 53.84498 54.41164
29 50.05590 50.72711 51.38187 52.02503 52.65604 53.27458 53.88020 54.47593 55.06245
30 50.54390 51.22628 51.89346 52.55037 53.19655 53.83157 54.45500 55.06843 55.67321
31 51.00714 51.69962 52.37799 53.04730 53.70715 54.35706 54.99660 55.62616 56.24769
32 51.44764 52.14932 52.83784 53.51836 54.19060 54.85399 55.50813 56.15239 56.78923
33 51.86716 52.57728 53.27506 53.96579 54.64928 55.32491 55.99230 56.64997 57.30083
34 52.26731 52.98520 53.69148 54.39154 55.08529 55.77207 56.45152 57.12145 57.78512
35 52.64951 53.37461 54.08870 54.79733 55.50047 56.19744 56.88790 57.56904 58.24446
36 53.01508 53.74685 54.46818 55.18470 55.89647 56.60278 57.30331 57.99473 58.68094
37 53.36518 54.10319 54.83122 55.55503 56.27474 56.98964 57.69941 58.40029 59.09641
38 53.70092 54.44473 55.17900 55.90957 56.63663 57.35943 58.07770 58.78729 59.49253
39 54.02325 54.77251 55.51260 56.24946 56.98331 57.71342 58.43952 59.15715 59.87082
40 54.33309 55.08747 55.83299 56.57572 57.31587 58.05275 58.78608 59.51116 60.23260
41 54.63124 55.39043 56.14107 56.88928 57.63530 58.37845 59.11849 59.85047 60.57912
42 54.91843 55.68217 56.43763 57.19099 57.94249 58.69148 59.43774 60.17613 60.91146
43 55.19531 55.96338 56.72340 57.48161 58.23823 58.99268 59.74472 60.48910 61.23063
44 55.46248 56.23467 56.99903 57.76182 58.52327 59.28282 60.04027 60.79022 61.53755
45 55.72046 56.49660 57.26511 58.03226 58.79826 59.56261 60.32511 61.08030 61.83303
46 55.96972 56.74968 57.52217 58.29348 59.06380 59.83267 60.59992 61.36002 62.11783
47 56.21069 56.99434 57.77068 58.54598 59.32041 60.09357 60.86531 61.63005 62.39262
48 56.44373 57.23098 58.01106 58.79021 59.56858 60.34582 61.12181 61.89094 62.65802
49 56.66918 57.45995 58.24368 59.02657 59.80874 60.58989 61.36992 62.14323 62.91457
50 56.88734 57.68157 58.46890 59.25542 60.04126 60.82617 61.61007 62.38738 63.16278
51 57.09846 57.89613 58.68699 59.47708 60.26650 61.05505 61.84266 62.62381 63.40309
52 57.30280 58.10387 58.89824 59.69184 60.48475 61.27683 62.06804 62.85289 63.63591
53 57.50057 58.30503 59.10288 59.89994 60.69629 61.49183 62.28653 63.07498 63.86160
54 57.69196 58.49981 59.30113 60.10163 60.90137 61.70030 62.49842 63.29036 64.08049
55 57.87716 58.68840 59.49319 60.29711 61.10021 61.90249 62.70394 63.49931 64.29285
56 58.05634 58.87098 59.67924 60.48657 61.29301 62.09859 62.90334 63.70208 64.49897
57 58.22965 59.04771 59.85944 60.67018 61.47995 62.28882 63.09682 63.89888 64.69906
58 58.39725 59.21873 60.03396 60.84811 61.66120 62.47333 63.28456 64.08991 64.89334
59 58.55928 59.38420 60.20294 61.02050 61.83691 62.65230 63.46674 64.27535 65.08201
60 58.71589 59.54426 60.36651 61.18749 62.00723 62.82588 63.64352 64.45537 65.26522

Element Ta W Re Os Ir Pt Au Hg Tl
Z 73 74 75 76 77 78 79 80 81
s                  
0 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
1 3.51110 3.47440 3.42084 3.39710 3.35665 2.62718 2.92007 3.21624 3.35316
2 7.66380 7.67506 7.62562 7.69565 7.70093 7.28299 7.38597 7.64856 7.98942
3 11.69611 11.69835 11.62131 11.73418 11.75575 11.40374 11.54618 11.74935 12.05736
4 15.50242 15.51176 15.45172 15.58139 15.62856 15.28380 15.43449 15.65381 15.91600
5 19.03205 19.08462 19.08376 19.22645 19.31307 19.11956 19.21786 19.38841 19.60547
6 22.21447 22.35035 22.44359 22.62667 22.77449 22.75224 22.84500 22.97772 23.15315
7 25.01132 25.23775 25.43378 25.68056 25.90537 26.02263 26.17202 26.32856 26.50417
8 27.48515 27.77632 28.05343 28.36068 28.65719 28.88260 29.11511 29.33911 29.56069
9 29.73240 30.05529 30.37962 30.72615 31.07261 31.37642 31.68425 31.98262 32.27085
10 31.82262 32.15546 32.49975 32.86379 33.23607 33.58901 33.94846 34.30452 34.65371
11 33.79048 34.12464 34.47451 34.84275 35.22395 35.60220 35.98954 36.38055 36.77187
12 35.65180 35.98581 36.33640 36.70384 37.08589 37.47454 37.87334 38.28093 38.69506
13 37.41684 37.75117 38.10173 38.46783 38.84850 39.24070 39.64231 40.05533 40.47858
14 39.09480 39.42981 39.78048 40.14591 40.52538 40.91911 41.32016 41.73338 42.15838
15 40.69343 41.02943 41.38044 41.74578 42.12467 42.51974 42.91950 43.33120 43.75506
16 42.21771 42.55571 42.90766 43.27348 43.65234 44.04884 44.44763 44.85771 45.27989
17 43.66969 44.01175 44.36609 44.73342 45.11300 45.51094 45.90946 46.31852 46.73945
18 45.04926 45.39840 45.75753 46.12814 46.50976 46.90936 47.30865 47.71764 48.13811
19 46.35531 46.71511 47.08215 47.45859 47.84426 48.24630 48.64781 49.05803 49.47908
20 47.58687 47.96098 48.33936 48.72466 49.11697 49.52295 49.92857 50.34169 50.76463
21 48.74383 49.13553 49.52858 49.92586 50.32771 50.73978 51.15174 51.56978 51.99627
22 49.82728 50.23921 50.64979 51.06198 51.47623 51.89694 52.31766 52.74286 53.17482
23 50.83952 51.27353 51.70388 52.13342 52.56264 52.99462 53.42649 53.86116 54.30069
24 51.78390 52.24104 52.69265 53.14138 53.58768 54.03338 54.47860 54.92490 55.37411
25 52.66446 53.14507 53.61877 54.08786 54.55277 55.01429 55.47468 55.93453 56.39540
26 53.48571 53.98955 54.48551 54.97556 55.46004 55.93896 56.41593 56.89088 57.36512
27 54.25230 54.77868 55.29660 55.80766 56.31214 56.80952 57.30402 57.79523 58.28421
28 54.96886 55.51676 56.05594 56.58766 57.11212 57.62853 58.14109 58.64929 59.15401
29 55.63980 56.20800 56.76750 57.31920 57.86326 58.39880 58.92956 59.45512 59.97622
30 56.26923 56.85643 57.43512 58.00591 58.56891 59.12335 59.67213 60.21510 60.75286
31 56.86093 57.46579 58.06247 58.65132 59.23243 59.80523 60.37161 60.93174 61.48617
32 57.41832 58.03952 58.65296 59.25877 59.85704 60.44746 61.03082 61.60768 62.17854
33 57.94447 58.58075 59.20973 59.83140 60.44580 61.05295 61.65256 62.24557 62.83242
34 58.44213 59.09230 59.73566 60.37207 61.00158 61.62451 62.23954 62.84799 63.45027
35 58.91374 59.57669 60.23333 60.88343 61.52702 62.16472 62.79433 63.41746 64.03451
36 59.36149 60.03620 60.70509 61.36788 62.02456 62.67603 63.31935 63.95636 64.58745
37 59.78733 60.47288 61.15307 61.82759 62.49642 63.16068 63.81684 64.46693 65.11132
38 60.19301 60.88854 61.57916 62.26453 62.94463 63.62073 64.28890 64.95127 65.60820
39 60.58011 61.28485 61.98508 62.68050 63.37103 64.05808 64.73746 65.41133 66.08005
40 60.95004 61.66329 62.37241 63.07711 63.77731 64.47447 65.16428 65.84891 66.52868
41 61.30409 62.02520 62.74254 63.45584 64.16499 64.87147 65.57101 66.26568 66.95579
42 61.64342 62.37182 63.09676 63.81802 64.53547 65.25055 65.95912 66.66316 67.36294
43 61.96908 62.70424 63.43623 64.16487 64.89001 65.61303 66.33000 67.04278 67.75158
44 62.28204 63.02348 63.76202 64.49750 65.22977 65.96012 66.68491 67.40582 68.12304
45 62.58316 63.33045 64.07507 64.81692 65.55582 66.29295 67.02499 67.75348 68.47856
46 62.87323 63.62598 64.37627 65.12405 65.86912 66.61251 67.35131 68.08686 68.81925
47 63.15296 63.91083 64.66642 65.41973 66.17054 66.91974 67.66483 68.40696 69.14617
48 63.42301 64.18568 64.94624 65.70471 66.46088 67.21549 67.96644 68.71470 69.46027
49 63.68397 64.45116 65.21638 65.97970 66.74089 67.50053 68.25694 69.01093 69.76243
50 63.93635 64.70783 65.47745 66.24532 67.01122 67.77557 68.53709 69.29641 70.05346
51 64.18064 64.95619 65.72997 66.50215 67.27247 68.04124 68.80754 69.57187 70.33409
52 64.41727 65.19670 65.97444 66.75069 67.52519 68.29812 69.06891 69.83793 70.60500
53 64.64663 65.42978 66.21130 66.99142 67.76989 68.54675 69.32177 70.09520 70.86682
54 64.86905 65.65578 66.44094 67.22475 68.00700 68.78759 69.56661 70.34419 71.12009
55 65.08486 65.87506 66.66371 67.45107 68.23692 69.02108 69.80389 70.58540 71.36534
56 65.29432 66.08789 66.87993 67.67072 68.46003 69.24762 70.03403 70.81927 71.60303
57 65.49770 66.29456 67.08989 67.88399 68.67665 69.46754 70.25740 71.04618 71.83358
58 65.69521 66.49531 67.29386 68.09118 68.88708 69.68116 70.47434 71.26651 72.05737
59 65.88707 66.69034 67.49205 68.29252 69.09158 69.88876 70.68515 71.48058 72.27474
60 66.07345 66.87986 67.68468 68.48825 69.29039 70.09061 70.89009 71.68866 72.48602

Element Pb Bi Po At Rn Fr Ra Ac Th
Z 82 83 84 85 86 87 88 89 90
s                  
0 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
1 3.34621 3.27806 3.33281 3.32115 3.26930 3.83241 4.44464 4.60565 4.53225
2 8.22217 8.29008 8.55914 8.68626 8.67890 9.01288 9.43761 9.70196 9.73030
3 12.41125 12.73684 13.12943 13.45896 13.67755 13.96293 14.28181 14.56415 14.68382
4 16.22970 16.58625 16.98331 17.39841 17.80231 18.20342 18.59738 18.95415 19.10180
5 19.86837 20.17179 20.51378 20.88858 21.29218 21.72790 22.18172 22.62985 22.83294
6 23.37158 23.62798 23.91920 24.23940 24.58760 24.97453 25.39443 25.83912 26.08504
7 26.70653 26.93777 27.19750 27.48284 27.79204 28.13066 28.49894 28.89569 29.15467
8 29.78902 30.02992 30.28696 30.56176 30.85496 31.16853 31.50434 31.86395 32.12548
9 32.55386 32.83610 33.12152 33.41324 33.71411 34.02674 34.35324 34.69753 34.96690
10 34.99597 35.33272 35.66572 35.99589 36.32636 36.66045 36.99990 37.34880 37.63823
11 37.16069 37.54632 37.92853 38.30468 38.67709 39.04766 39.41742 39.78790 40.11077
12 39.11241 39.53176 39.95218 40.36861 40.78241 41.19310 41.60084 42.00369 42.36942
13 40.90935 41.34687 41.79059 42.23479 42.68028 43.12499 43.56818 44.00554 44.41624
14 42.59319 43.03767 43.49207 43.95125 44.41593 44.88381 45.35352 45.82004 46.27058
15 44.18948 44.63479 45.09182 45.55657 46.02985 46.51011 46.99576 47.48239 47.96308
16 45.71259 46.15634 46.61211 47.07707 47.55215 48.03675 48.52946 49.02718 49.52726
17 47.17058 47.61243 48.06580 48.52881 49.00237 49.48660 49.98052 50.48246 50.99268
18 48.56838 49.00889 49.46012 49.92093 50.39203 50.87389 51.36601 51.86803 52.38179
19 49.90941 50.34947 50.79941 51.25863 51.72758 52.20682 52.69615 53.19634 53.70975
20 51.19617 51.63680 52.08653 52.54511 53.01275 53.49000 53.97677 54.47467 54.98596
21 52.43042 52.87284 53.32354 53.78256 54.24992 54.72616 55.21118 55.70716 56.21594
22 53.61325 54.05891 54.51192 54.97254 55.44075 55.91711 56.40144 56.89625 57.40291
23 54.74527 55.19583 55.65265 56.11619 56.58647 57.06414 57.54895 58.04351 58.54882
24 55.82679 56.28406 56.74634 57.21425 57.68794 58.16821 58.65471 59.15007 59.65498
25 56.85810 57.32388 57.79336 58.26721 58.74575 59.22997 59.71947 60.21675 60.72234
26 57.83958 58.31562 58.79400 59.27537 59.76029 60.24988 60.74374 61.24415 61.75155
27 58.77191 59.25976 59.74862 60.23906 60.73186 61.22825 61.72786 62.23269 62.74312
28 59.65612 60.15705 60.65779 61.15870 61.66081 62.16539 62.67210 63.18267 63.69739
29 60.49357 61.00858 61.52233 62.03492 62.54761 63.06165 63.57676 64.09436 64.61464
30 61.28596 61.81573 62.34333 62.86859 63.39292 63.91754 64.44222 64.96805 65.49516
31 62.03522 62.58016 63.12218 63.66083 64.19764 64.73377 65.26900 65.80418 66.33929
32 62.74351 63.30374 63.86049 64.41300 64.96290 65.51124 66.05784 66.60329 67.14746
33 63.41306 63.98851 64.56004 65.12666 65.69003 66.25108 66.80966 67.36615 67.92027
34 64.04617 64.63658 65.22276 65.80353 66.38054 66.95460 67.52556 68.09365 68.65848
35 64.64514 65.25011 65.85064 66.44543 67.03606 67.62324 68.20682 68.78691 69.36298
36 65.21220 65.83123 66.44569 67.05424 67.65832 68.25858 68.85483 69.44713 70.03482
37 65.74952 66.38202 67.00992 67.63183 68.24908 68.86224 69.47109 70.07566 70.67518
38 66.25915 66.90451 67.54527 68.18009 68.81013 69.43589 70.05715 70.67391 71.28532
39 66.74304 67.40061 68.05362 68.70083 69.34321 69.98121 70.61459 71.24336 71.86659
40 67.20301 67.87214 68.53677 69.19582 69.85004 70.49985 71.14499 71.78549 72.42036
41 67.64078 68.32080 68.99643 69.66673 70.33226 70.99341 71.64990 72.30179 72.94803
42 68.05791 68.74819 69.43420 70.11516 70.79145 71.46344 72.13082 72.79371 73.45099
43 68.45590 69.15581 69.85158 70.54262 71.22912 71.91143 72.58923 73.26267 73.93061
44 68.83610 69.54503 70.24999 70.95052 71.64668 72.33878 73.02652 73.71006 74.38824
45 69.19977 69.91716 70.63072 71.34019 72.04547 72.74685 73.44402 74.13719 74.82516
46 69.54808 70.27337 70.99501 71.71287 72.42674 73.13689 73.84301 74.54533 75.24264
47 69.88210 70.61478 71.34398 72.06972 72.79167 73.51008 74.22466 74.93566 75.64185
48 70.20283 70.94241 71.67868 72.41180 73.14134 73.86754 74.59011 75.30931 76.02393
49 70.51118 71.25721 72.00009 72.74012 73.47678 74.21030 74.94041 75.66736 76.38996
50 70.80798 71.56003 72.30911 73.05561 73.79895 74.53935 75.27655 76.01079 76.74094
51 71.09401 71.85169 72.60656 73.35912 74.10871 74.85557 75.59945 76.34056 77.07783
52 71.36997 72.13291 72.89322 73.65144 74.40690 75.15982 75.90996 76.65754 77.40152
53 71.63652 72.40439 73.16978 73.93331 74.69426 75.45287 76.20890 76.96255 77.71286
54 71.89424 72.66672 73.43689 74.20539 74.97149 75.73544 76.49700 77.25636 78.01262
55 72.14367 72.92050 73.69514 74.46831 75.23925 76.00821 76.77496 77.53968 78.30154
56 72.38531 73.16622 73.94509 74.72264 75.49811 76.27179 77.04342 77.81316 78.58030
57 72.61959 73.40436 74.18721 74.96890 75.74864 76.52674 77.30296 78.07743 78.84953
58 72.84694 73.63536 74.42198 75.20756 75.99132 76.77359 77.55413 78.33304 79.10982
59 73.06770 73.85959 74.64979 75.43905 76.22661 77.01282 77.79743 78.58052 79.36171
60 73.28222 74.07742 74.87103 75.66378 76.45494 77.24487 78.03332 78.82035 79.60571

Element Pa U
Z 91 92
s    
0 0.00000 0.00000
1 4.48605 4.46901
2 9.64760 9.65990
3 14.50305 14.53454
4 18.88630 18.93052
5 22.67010 22.75975
6 26.01979 26.15376
7 29.17627 29.33734
8 32.20889 32.38794
9 35.09984 35.29714
10 37.82179 38.04410
11 40.35125 40.60907
12 42.67134 42.97470
13 44.77871 45.13292
14 46.68677 47.09059
15 48.42205 48.86853
16 50.01657 50.49569
17 51.50089 52.00222
18 52.89990 53.41447
19 54.23161 54.75278
20 55.50792 56.03139
21 56.73622 57.25961
22 57.92097 58.44323
23 59.06486 59.58582
24 60.16964 60.68962
25 61.23646 61.75612
26 62.26615 62.78632
27 63.25930 63.78093
28 64.21633 64.74047
29 65.13757 65.66531
30 66.02329 66.55575
31 66.87380 67.41207
32 67.68946 68.23461
33 68.47077 69.02374
34 69.21834 69.77999
35 69.93291 70.50398
36 70.61540 71.19646
37 71.26680 71.85830
38 71.88825 72.49049
39 72.48094 73.09410
40 73.04613 73.67027
41 73.58512 74.22018
42 74.09919 74.74506
43 74.58967 75.24613
44 75.05784 75.72462
45 75.50493 76.18173
46 75.93219 76.61863
47 76.34076 77.03649
48 76.73178 77.43640
49 77.10631 77.81941
50 77.46537 78.18654
51 77.80991 78.53875
52 78.14084 78.87696
53 78.45901 79.20201
54 78.76522 79.51472
55 79.06021 79.81586
56 79.34470 80.10614
57 79.61932 80.38622
58 79.88468 80.65672
59 80.14135 80.91823
60 80.38984 81.17129