% Coefficients for analytical approximation to the scattering factors of Tables 6.1.1.1 and 6.1.1.3 in the International table for crystallogrpahy.
% http://xrpp.iucr.org/Cb/ch6o1v0001/#table6o1o1o4
% f(sinth/lambda) = Sigma_{i=1}^{4} a_i exp(-b_i sin(th)^2/lambda^2) + c
% atoms method a1 b1 a2 b2 a3 b3 a4 b4 c maximumerror sin(th)/lambda(A^-1) meanerror
H  0    SDS 	0.493002 	10.5109 	0.322912 	26.1257 	0.140191 	3.14236 	0.040810 	57.7997 	0.003038 	0.000 	0.00 	0.000
H  0    HF      0.489918 	20.6593 	0.262003 	7.74039 	0.196767 	49.5519 	0.049879 	2.20159 	0.001305 	0.000 	0.17 	0.000
H  1- 	HF      0.897661 	53.1368 	0.565616 	15.1870 	0.415815 	186.576 	0.116973 	3.56709 	0.002389 	0.002 	0.09 	0.001
He 0    RHF 	0.873400 	9.10370 	0.630900 	3.35680 	0.311200 	22.9276 	0.178000 	0.982100 	0.006400 	0.001 	1.01 	0.000
Li 0    RHF 	1.12820 	3.95460 	0.750800 	1.05240 	0.617500 	85.3905 	0.465300 	168.261 	0.037700 	0.005 	2.00 	0.001
Li 1+ 	RHF 	0.696800 	4.62370 	0.788800 	1.95570 	0.341400 	0.631600 	0.156300 	10.0953 	0.016700 	0.001 	1.78 	0.000
Be 0    RHF 	1.59190 	43.6427 	1.12780 	1.86230 	0.539100 	103.483 	0.702900 	0.542000 	0.038500 	0.003 	0.56 	0.001
Be 2+ 	RHF 	6.26030 	0.002700 	0.884900 	0.831300 	0.799300 	2.27580 	0.164700 	5.11460 	-6.1092 	0.001 	1.97 	0.000
B  0    RHF 	2.05450 	23.2185 	1.33260 	1.02100 	1.09790 	60.3498 	0.706800 	0.140300 	-0.19320 	0.002 	0.75 	0.001
C  0    RHF 	2.31000 	20.8439 	1.02000 	10.2075 	1.58860 	0.568700 	0.865000 	51.6512 	0.215600 	0.006 	2.00 	0.001
C  val 	HF      2.26069 	22.6907 	1.56165 	0.656665 	1.05075 	9.75618 	0.839259 	55.5949 	0.286977 	0.001 	0.16 	0.000
N  0    RHF 	12.2126 	0.005700 	3.13220 	9.89330 	2.01250 	28.9975 	1.16630 	0.582600 	-11.529 	0.007 	0.11 	0.002
O  0    RHF 	3.04850 	13.2771 	2.28680 	5.70110 	1.54630 	0.323900 	0.867000 	32.9089 	0.250800 	0.001 	0.22 	0.000
O  1- 	HF      4.19160 	12.8573 	1.63969 	4.17236 	1.52673 	47.0179 	-20.307 	-0.01404 	21.9412 	0.011 	1.50 	0.004
F  0    RHF 	3.53920 	10.2825 	2.64120 	4.29440 	1.51700 	0.261500 	1.02430 	26.1476 	0.277600 	0.001 	0.01 	0.000
F  1- 	HF      3.63220 	5.27756 	3.51057 	14.7353 	1.26064 	0.442258 	0.940706 	47.3437 	0.653396 	0.003 	0.09 	0.001
Ne 0    RHF 	3.95530 	8.40420 	3.11250 	3.42620 	1.45460 	0.230600 	1.12510 	21.7184 	0.351500 	0.002 	0.25 	0.001
Na 0    RHF 	4.76260 	3.28500 	3.17360 	8.84220 	1.26740 	0.313600 	1.11280 	129.424 	0.676000 	0.009 	0.13 	0.002
Na 1+ 	RHF 	3.25650 	2.66710 	3.93620 	6.11530 	1.39980 	0.200100 	1.00320 	14.0390 	0.404000 	0.001 	0.70 	0.000
Mg 0    RHF 	5.42040 	2.82750 	2.17350 	79.2611 	1.22690 	0.380800 	2.30730 	7.19370 	0.858400 	0.015 	0.08 	0.003
Mg 2+ 	RHF 	3.49880 	2.16760 	3.83780 	4.75420 	1.32840 	0.185000 	0.849700 	10.1411 	0.485300 	0.001 	1.34 	0.000
Al 0    RHF 	6.42020 	3.03870 	1.90020 	0.742600 	1.59360 	31.5472 	1.96460 	85.0886 	1.11510 	0.018 	2.00 	0.005
Al 3+ 	HF      4.17448 	1.93816 	3.38760 	4.14553 	1.20296 	0.228753 	0.528137 	8.28524 	0.706786 	0.000 	1.50 	0.000
Si v 	RHF 	6.29150 	2.43860 	3.03530 	32.3337 	1.98910 	0.678500 	1.54100 	81.6937 	1.14070 	0.009 	2.00 	0.002
Si val 	HF      5.66269 	2.66520 	3.07164 	38.6634 	2.62446 	0.916946 	1.39320 	93.5458 	1.24707 	0.001 	0.53 	0.001
Si 4+ 	HF      4.43918 	1.64167 	3.20345 	3.43757 	1.19453 	0.214900 	0.416530 	6.65365 	0.746297 	0.000 	1.50 	0.000
P  0    RHF 	6.43450 	1.90670 	4.17910 	27.1570 	1.78000 	0.526000 	1.49080 	68.1645 	1.11490 	0.003 	0.65 	0.001
S  0    RHF 	6.90530 	1.46790 	5.20340 	22.2151 	1.43790 	0.253600 	1.58630 	56.1720 	0.866900 	0.005 	0.67 	0.002
Cl 0    RHF 	11.4604 	0.010400 	7.19640 	1.16620 	6.25560 	18.5194 	1.64550 	47.7784 	-9.5574 	0.007 	0.78 	0.003
Cl 1- 	RHF 	18.2915 	0.006600 	7.20840 	1.17170 	6.53370 	19.5424 	2.33860 	60.4486 	-16.378 	0.007 	0.76 	0.003
Ar 0    RHF 	7.48450 	0.907200 	6.77230 	14.8407 	0.653900 	43.8983 	1.64420 	33.3929 	1.44450 	0.029 	2.00 	0.006
K  0    RHF 	8.21860 	12.7949 	7.43980 	0.774800 	1.05190 	213.187 	0.865900 	41.6841 	1.42280 	0.011 	0.90 	0.005
K  1+ 	RHF 	7.95780 	12.6331 	7.49170 	0.767400 	6.35900 	-0.00200 	1.19150 	31.9128 	-4.9978 	0.011 	0.91 	0.005
Ca 0    RHF 	8.62660 	10.4421 	7.38730 	0.659900 	1.58990 	85.7484 	1.02110 	178.437 	1.37510 	0.016 	0.99 	0.006
Ca 2+ 	RHF 	15.6348 	-0.00740 	7.95180 	0.608900 	8.43720 	10.3116 	0.853700 	25.9905 	-14.875 	0.017 	2.00 	0.004
Sc 0    RHF 	9.18900 	9.02130 	7.36790 	0.572900 	1.64090 	136.108 	1.46800 	51.3531 	1.33290 	0.014 	1.07 	0.006
Sc 3+ 	HF      13.4008 	0.298540 	8.02730 	7.96290 	1.65943 	-0.28604 	1.57936 	16.0662 	-6.6667 	0.002 	1.50 	0.000
Ti 0    RHF 	9.75950 	7.85080 	7.35580 	0.500000 	1.69910 	35.6338 	1.90210 	116.105 	1.28070 	0.014 	2.00 	0.006
Ti 2+ 	HF      9.11423 	7.52430 	7.62174 	0.457585 	2.27930 	19.5361 	0.087899 	61.6558 	0.897155 	0.006 	1.50 	0.001
Ti 3+ 	HF      17.7344 	0.220610 	8.73816 	7.04716 	5.25691 	-0.15762 	1.92134 	15.9768 	-14.652 	0.001 	0.00 	0.000
Ti 4+ 	HF      19.5114 	0.178847 	8.23473 	6.67018 	2.01341 	-0.29263 	1.52080 	12.9464 	-13.280 	0.002 	1.50 	0.000
V  0    RHF 	10.2971 	6.86570 	7.35110 	0.438500 	2.07030 	26.8938 	2.05710 	102.478 	1.21990 	0.014 	2.00 	0.005
V  2+ 	RHF 	10.1060 	6.88180 	7.35410 	0.440900 	2.28840 	20.3004 	0.022300 	115.122 	1.22980 	0.015 	2.00 	0.004
V  3+ 	HF      9.43141 	6.39535 	7.74190 	0.383349 	2.15343 	15.1908 	0.016865 	63.9690 	0.656565 	0.004 	1.50 	0.001
V  5+ 	HF      15.6887 	0.679003 	8.14208 	5.40135 	2.03081 	9.97278 	-9.5760 	0.940464 	1.71430 	0.000 	0.34 	0.000
Cr 0    RHF 	10.6406 	6.10380 	7.35370 	0.392000 	3.32400 	20.2626 	1.49220 	98.7399 	1.18320 	0.011 	2.00 	0.004
Cr 2+ 	HF      9.54034 	5.66078 	7.75090 	0.344261 	3.58274 	13.3075 	0.509107 	32.4224 	0.616898 	0.002 	1.50 	0.000
Cr 3+ 	HF      9.68090 	5.59463 	7.81136 	0.334393 	2.87603 	12.8288 	0.113575 	32.8761 	0.518275 	0.002 	1.50 	0.000
Mn 0    RHF 	11.2819 	5.34090 	7.35730 	0.343200 	3.01930 	17.8674 	2.24410 	83.7543 	1.08960 	0.009 	2.00 	0.004
Mn 2+ 	RHF 	10.8061 	5.27960 	7.36200 	0.343500 	3.52680 	14.3430 	0.218400 	41.3235 	1.08740 	0.009 	2.00 	0.002
Mn 3+ 	HF      9.84521 	4.91797 	7.87194 	0.294393 	3.56531 	10.8171 	0.323613 	24.1281 	0.393974 	0.001 	1.50 	0.000
Mn 4+ 	HF      9.96253 	4.84850 	7.97057 	0.283303 	2.76067 	10.4852 	0.054447 	27.5730 	0.251877 	0.001 	1.50 	0.000
Fe 0    RHF 	11.7695 	4.76110 	7.35730 	0.307200 	3.52220 	15.3535 	2.30450 	76.8805 	1.03690 	0.011 	0.08 	0.004
Fe 2+ 	RHF 	11.0424 	4.65380 	7.37400 	0.305300 	4.13460 	12.0546 	0.439900 	31.2809 	1.00970 	0.008 	2.00 	0.002
Fe 3+ 	RHF 	11.1764 	4.61470 	7.38630 	0.300500 	3.39480 	11.6729 	0.072400 	38.5566 	0.970700 	0.008 	2.00 	0.002
Co 0    RHF 	12.2841 	4.27910 	7.34090 	0.278400 	4.00340 	13.5359 	2.34880 	71.1692 	1.01180 	0.013 	0.08 	0.004
Co 2+ 	RHF 	11.2296 	4.12310 	7.38830 	0.272600 	4.73930 	10.2443 	0.710800 	25.6466 	0.932400 	0.006 	2.00 	0.001
Co 3+ 	HF      10.3380 	3.90969 	7.88173 	0.238668 	4.76795 	8.35583 	0.725591 	18.3491 	0.286667 	0.000 	1.50 	0.000
Ni 0    RHF 	12.8376 	3.87850 	7.29200 	0.256500 	4.44380 	12.1763 	2.38000 	66.3421 	1.0341      0.014 	0.08 	0.004
Ni 2+ 	RHF 	11.4166 	3.67660 	7.40050 	0.244900 	5.34420 	8.87300 	0.977300 	22.1626 	0.861400 	0.003 	2.00 	0.001
Ni 3+ 	HF      10.7806 	3.54770 	7.75868 	0.223140 	5.22746 	7.64468 	0.847114 	16.9673 	0.386044 	0.000 	0.57 	0.000
Cu 0    RHF 	13.3380 	3.58280 	7.16760 	0.247000 	5.61580 	11.3966 	1.67350 	64.8126 	1.19100 	0.015 	0.08 	0.005
Cu 1+ 	RHF 	11.9475 	3.36690 	7.35730 	0.227400 	6.24550 	8.66250 	1.55780 	25.8487 	0.89000 	0.003 	0.24 	0.001
Cu 2+ 	HF      11.8168 	3.37484 	7.11181 	0.244078 	5.78135 	7.98760 	1.14523 	19.8970 	1.14431 	0.001 	0.26 	0.000
Zn 0    RHF 	14.0743 	3.26550 	7.03180 	0.233300 	5.16520 	10.3163 	2.41000 	58.7097 	1.30410 	0.016 	0.08 	0.005
Zn 2+ 	RHF 	11.9719 	2.99460 	7.38620 	0.203100 	6.46680 	7.08260 	1.39400 	18.0995 	0.780700 	0.001 	0.62 	0.000
Ga 0    RHF 	15.2354 	3.06690 	6.70060 	0.241200 	4.35910 	10.7805 	2.96230 	61.4135 	1.71890 	0.025 	0.08 	0.008
Ga 3+ 	HF      12.6920 	2.81262 	6.69883 	0.227890 	6.06692 	6.36441 	1.00660 	14.4122 	1.53545 	0.008 	1.45 	0.000
Ge 0    RHF 	16.0816 	2.85090 	6.37470 	0.251600 	3.70680 	11.4468 	3.68300 	54.7625 	2.13130 	0.024 	0.08 	0.008
Ge 4+ 	HF      12.9172 	2.53718 	6.70003 	0.205855 	6.06791 	5.47913 	0.859041 	11.6030 	1.45572 	0.000 	0.32 	0.000
As 0    RHF 	16.6723 	2.63450 	6.07010 	0.264700 	3.43130 	12.9479 	4.27790 	47.7972 	2.53100 	0.019 	0.09 	0.008
Se 0    RHF 	17.0006 	2.40980 	5.81960 	0.272600 	3.97310 	15.2372 	4.35430 	43.8163 	2.84090 	0.016 	2.00 	0.006
Br 0    RHF 	17.1789 	2.17230 	5.23580 	16.5796 	5.63770 	0.260900 	3.98510 	41.4328 	2.95570 	0.012 	2.00 	0.004
Br 1- 	RHF 	17.1718 	2.20590 	6.33380 	19.3345 	5.57540 	0.287100 	3.72720 	58.1535 	3.17760 	0.016 	2.00 	0.006
Kr 0    RHF 	17.3555 	1.93840 	6.72860 	16.5623 	5.54930 	0.226100 	3.53750 	39.3972 	2.82500 	0.008 	2.00 	0.002
Rb 0    RHF 	17.1784 	1.78880 	9.64350 	17.3151 	5.13990 	0.274800 	1.52920 	164.934 	3.48730 	0.028 	0.12 	0.008
Rb 1+ 	RHF 	17.5816 	1.71390 	7.65980 	14.7957 	5.89810 	0.160300 	2.78170 	31.2087 	2.07820 	0.002 	1.99 	0.001
Sr 0    RHF 	17.5663 	1.55640 	9.81840 	14.0988 	5.42200 	0.166400 	2.66940 	132.376 	2.50640 	0.021 	0.13 	0.005
Sr 2+ 	RHF 	18.0874 	1.49070 	8.13730 	12.6963 	2.56540 	24.5651 	-34.193 	-0.01380 	41.4025 	0.008 	2.00 	0.002
Y  0    *RHF 	17.7760 	1.40290 	10.2946 	12.8006 	5.72629 	0.125599 	3.26588 	104.354 	1.91213 	0.028 	0.07 	0.006
Y  3+ 	*DS 	17.9268 	1.35417 	9.15310 	11.2145 	1.76795 	22.6599 	-33.108 	-0.01319 	40.2602 	0.005 	2.00 	0.001
Zr 0    *RHF 	17.8765 	1.27618 	10.9480 	11.9160 	5.41732 	0.117622 	3.65721 	87.6627 	2.06929 	0.035 	0.07 	0.008
Zr 4+ 	*DS 	18.1668 	1.21480 	10.0562 	10.1483 	1.01118 	21.6054 	-2.6479 	-0.10276 	9.41454 	0.004 	2.00 	0.001
Nb 0    *RHF 	17.6142 	1.18865 	12.0144 	11.7660 	4.04183 	0.204785 	3.53346 	69.7957 	3.75591 	0.042 	0.08 	0.011
Nb 3+ 	*DS 	19.8812 	0.019175 	18.0653 	1.13305 	11.0177 	10.1621 	1.94715 	28.3389 	-12.912 	0.006 	2.00 	0.002
Nb 5+ 	*DS 	17.9163 	1.12446 	13.3417 	0.028781 	10.7990 	9.28206 	0.337905 	25.7228 	-6.3934 	0.007 	2.00 	0.003
Mo 0    RHF 	3.70250 	0.277200 	17.2356 	1.09580 	12.8876 	11.0040 	3.74290 	61.6584 	4.38750 	0.046 	0.08 	0.012
Mo 3+ 	*DS 	21.1664 	0.014734 	18.2017 	1.03031 	11.7423 	9.53659 	2.30951 	26.6307 	-14.421 	0.009 	2.00 	0.003
Mo 5+ 	*DS 	21.0149 	0.014345 	18.0992 	1.02238 	11.4632 	8.78809 	0.740625 	23.3452 	-14.316 	0.010 	2.00 	0.003
Mo 6+ 	*DS 	17.8871 	1.03649 	11.1750 	8.48061 	6.57891 	0.058881 	0.000000 	0.000000 	0.344941 	0.014 	0.00 	0.006
Tc 0    *RHF 	19.1301 	0.864132 	11.0948 	8.14487 	4.64901 	21.5707 	2.71263 	86.8472 	5.40428 	0.061 	2.00 	0.011
Ru 0    *RHF 	19.2674 	0.808520 	12.9182 	8.43467 	4.86337 	24.7997 	1.56756 	94.2928 	5.37874 	0.041 	2.00 	0.006
Ru 3+ 	*DS 	18.5638 	0.847329 	13.2885 	8.37164 	9.32602 	0.017662 	3.00964 	22.8870 	-3.1892 	0.013 	2.00 	0.004
Ru 4+ 	*DS 	18.5003 	0.844582 	13.1787 	8.12534 	4.71304 	0.36495 	2.18535 	20.8504 	1.42357 	0.014 	2.00 	0.004
Rh 0    *RHF 	19.2957 	0.751536 	14.3501 	8.21758 	4.73425 	25.8749 	1.28918 	98.6062 	5.32800 	0.021 	2.00 	0.004
Rh 3+ 	*DS 	18.8785 	0.764252 	14.1259 	7.84438 	3.32515 	21.2487 	-6.1989 	-0.01036 	11.8678 	0.014 	2.00 	0.004
Rh 4+ 	*DS 	18.8545 	0.760825 	13.9806 	7.62436 	2.53464 	19.3317 	-5.6526 	-0.01020 	11.2835 	0.014 	2.00 	0.003
Pd 0    *RHF 	19.3319 	0.698655 	15.5017 	7.98929 	5.29537 	25.2052 	0.605844 	76.8986 	5.26593 	0.012 	1.08 	0.005
Pd 2+ 	*DS 	19.1701 	0.696219 	15.2096 	7.55573 	4.32234 	22.5057 	0.000000 	0.000000 	5.29160 	0.011 	2.00 	0.004
Pd 4+ 	*DS 	19.2493 	0.683839 	14.7900 	7.14833 	2.89289 	17.9144 	-7.9492 	0.005127 	13.0174 	0.014 	2.00 	0.003
Ag 0    RHF 	19.2808 	0.644600 	16.6885 	7.47260 	4.80450 	24.6605 	1.04630 	99.8156 	5.17900 	0.016 	1.14 	0.007
Ag 1+ 	*DS 	19.1812 	0.646179 	15.9719 	7.19123 	5.27475 	21.7326 	0.357534 	66.1147 	5.21572 	0.012 	1.13 	0.005
Ag 2+ 	*DS 	19.1643 	0.645643 	16.2456 	7.18544 	4.37090 	21.4072 	0.000000 	0.000000 	5.21404 	0.011 	1.14 	0.005
Cd 0    RHF 	19.2214 	0.594600 	17.6444 	6.90890 	4.46100 	24.7008 	1.60290 	87.4825 	5.06940 	0.020 	2.00 	0.008
Cd 2+ 	*DS 	19.1514 	0.597922 	17.2535 	6.80639 	4.47128 	20.2521 	0.000000 	0.000000 	5.11937 	0.014 	1.17 	0.007
In 0    RHF 	19.1624 	0.547600 	18.5596 	6.37760 	4.29480 	25.8499 	2.03960 	92.8029 	4.93910 	0.027 	2.00 	0.009
In 3+ 	*DS 	19.1045 	0.551522 	18.1108 	6.32470 	3.78897 	17.3595 	0.000000 	0.000000 	4.99635 	0.022 	2.00 	0.007
Sn 0    RHF 	19.1889 	5.83030 	19.1005 	0.503100 	4.45850 	26.8909 	2.46630 	83.9571 	4.78210 	0.032 	2.00 	0.009
Sn 2+ 	RHF 	19.1094 	0.503600 	19.0548 	5.83780 	4.56480 	23.3752 	0.487000 	62.2061 	4.78610 	0.032 	2.00 	0.009
Sn 4+ 	RHF 	18.9333 	5.76400 	19.7131 	0.465500 	3.41820 	14.0049 	0.019300 	-0.75830 	3.91820 	0.016 	2.00 	0.004
Sb 0    RHF 	19.6418 	5.30340 	19.0455 	0.460700 	5.03710 	27.9074 	2.68270 	75.2825 	4.59090 	0.035 	2.00 	0.009
Sb 3+ 	*DS 	18.9755 	0.467196 	18.9330 	5.22126 	5.10789 	19.5902 	0.288753 	55.5113 	4.69626 	0.028 	2.00 	0.007
Sb 5+   *DS 	19.8685 	5.44853 	19.0302 	0.467973 	2.41253 	14.1259 	0.000000 	0.000000 	4.69263 	0.030 	2.00 	0.008
Te 0    *RHF 	19.9644 	4.81742 	19.0138 	0.420885 	6.14487 	28.5284 	2.52390 	70.8403 	4.35200 	0.038 	2.00 	0.009
I  0    RHF 	20.1472 	4.34700 	18.9949 	0.381400 	7.51380 	27.7660 	2.27350 	66.8776 	4.07120 	0.037 	2.00 	0.009
I  1- 	RHF 	20.2332 	4.35790 	18.9970 	0.381500 	7.80690 	29.5259 	2.88680 	84.9304 	4.07140 	0.038 	2.00 	0.009
Xe 0    RHF 	20.2933 	3.92820 	19.0298 	0.344000 	8.97670 	26.4659 	1.99000 	64.2658 	3.71180 	0.038 	2.00 	0.009
Cs 0    RHF 	20.3892 	3.56900 	19.1062 	0.310700 	10.6620 	24.3879 	1.49530 	213.904 	3.33520 	0.032 	2.00 	0.010
Cs 1+ 	RHF 	20.3524 	3.55200 	19.1278 	0.308600 	10.2821 	23.7128 	0.961500 	59.4565 	3.27910 	0.037 	2.00 	0.009
Ba 0    RHF 	20.3361 	3.21600 	19.2970 	0.275600 	10.8880 	20.2073 	2.69590 	167.202 	2.77310 	0.032 	2.00 	0.009
Ba 2+ 	*DS 	20.1807 	3.21367 	19.1136 	0.283310 	10.9054 	20.0558 	0.77634 	51.7460 	3.02902 	0.029 	2.00 	0.007
La 0    *RHF 	20.5780 	2.94817 	19.5990 	0.244475 	11.3727 	18.7726 	3.28719 	133.124 	2.14678 	0.032 	2.00 	0.009
La 3+ 	*DS 	20.2489 	2.92070 	19.3763 	0.250698 	11.6323 	17.8211 	0.336048 	54.9453 	2.40860 	0.028 	2.00 	0.007
Ce 0    *RHF 	21.1671 	2.81219 	19.7695 	0.226836 	11.8513 	17.6083 	3.33049 	127.113 	1.86264 	0.026 	2.00 	0.008
Ce 3+ 	*DS 	20.8036 	2.77691 	19.5590 	0.231540 	11.9369 	16.5408 	0.612376 	43.1692 	2.09013 	0.023 	2.00 	0.005
Ce 4+ 	*DS 	20.3235 	2.65941 	19.8186 	0.218850 	12.1233 	15.7992 	0.144583 	62.2355 	1.59180 	0.026 	2.00 	0.007
Pr 0    *RHF 	22.0440 	2.77393 	19.6697 	0.222087 	12.3856 	16.7669 	2.82428 	143.644 	2.05830 	0.021 	0.12 	0.007
Pr 3+ 	*DS 	21.3727 	2.64520 	19.7491 	0.214299 	12.1329 	15.3230 	0.975180 	36.4065 	1.77132 	0.019 	2.00 	0.004
Pr 4+ 	*DS 	20.9413 	2.54467 	20.0539 	0.202481 	12.4668 	14.8137 	0.296689 	45.4643 	1.24285 	0.021 	2.00 	0.005
Nd 0    *RHF 	22.6845 	2.66248 	19.6847 	0.210628 	12.7740 	15.8850 	2.85137 	137.903 	1.98486 	0.024 	0.13 	0.007
Nd 3+ 	*DS 	21.9610 	2.52722 	19.9339 	0.199237 	12.1200 	14.1783 	1.51031 	30.8717 	1.47588 	0.015 	2.00 	0.003
Pm 0    *RHF 	23.3405 	2.56270 	19.6095 	0.202088 	13.1235 	15.1009 	2.87516 	132.721 	2.02876 	0.026 	0.13 	0.008
Pm 3+ 	*DS 	22.5527 	2.41740 	20.1108 	0.185769 	12.0671 	13.1275 	2.07492 	27.4491 	1.19499 	0.012 	2.00 	0.002
Sm 0    *RHF 	24.0042 	2.47274 	19.4258 	0.196451 	13.4396 	14.3996 	2.89604 	128.007 	2.20963 	0.029 	0.13 	0.009
Sm 3+ 	*DS 	23.1504 	2.31641 	20.2599 	0.174081 	11.9202 	12.1571 	2.71488 	24.8242 	0.954586 	0.009 	2.00 	0.002
Eu 0    RHF 	24.6274 	2.38790 	19.0886 	0.194200 	13.7603 	13.7546 	2.92270 	123.174 	2.57450 	0.031 	0.14 	0.010
Eu 2+ 	*DS 	24.0063 	2.27783 	19.9504 	0.173530 	11.8034 	11.6096 	3.87243 	26.5156 	1.36389 	0.004 	2.00 	0.002
Eu 3+ 	*DS 	23.7497 	2.22258 	20.3745 	0.163940 	11.8509 	11.3110 	3.26503 	22.9966 	0.759344 	0.006 	2.00 	0.001
Gd 0    *RHF 	25.0709 	2.25341 	19.0798 	0.181951 	13.8518 	12.9331 	3.54545 	101.398 	2.41960 	0.036 	0.15 	0.011
Gd 3+ 	*DS 	24.3466 	2.13553 	20.4208 	0.155525 	11.8708 	10.5782 	3.71490 	21.7029 	0.645089 	0.004 	2.00 	0.001
Tb 0    *RHF 	25.8976 	2.24256 	18.2185 	0.196143 	14.3167 	12.6648 	2.95354 	115.362 	3.58324 	0.035 	0.14 	0.012
Tb 3+ 	*DS 	24.9559 	2.05601 	20.3271 	0.149525 	12.2471 	10.0499 	3.77300 	21.2773 	0.691967 	0.005 	0.00 	0.001
Dy 0    *RHF 	26.5070 	2.18020 	17.6383 	0.202172 	14.5596 	12.1899 	2.96577 	111.874 	4.29728 	0.037 	0.15 	0.013
Dy 3+ 	*DS 	25.5395 	1.98040 	20.2861 	0.143384 	11.9812 	9.34972 	4.50073 	19.5810 	0.689690 	0.003 	0.00 	0.001
Ho 0    *RHF 	26.9049 	2.07051 	17.2940 	0.197940 	14.5583 	11.4407 	3.63837 	92.6566 	4.56796 	0.040 	0.15 	0.013
Ho 3+ 	*DS 	26.1296 	1.91072 	20.0994 	0.139358 	11.9788 	8.80018 	4.93676 	18.5908 	0.852795 	0.003 	0.00 	0.001
Er 0    *RHF 	27.6563 	2.07356 	16.4285 	0.223545 	14.9779 	11.3604 	2.98233 	105.703 	5.92046 	0.040 	0.15 	0.015
Er 3+ 	*DS 	26.7220 	1.84659 	19.7748 	0.137290 	12.1506 	8.36225 	5.17379 	17.8974 	1.17613 	0.003 	0.00 	0.001
Tm 0    *RHF 	28.1819 	2.02859 	15.8851 	0.238849 	15.1542 	10.9975 	2.98706 	102.961 	6.75621 	0.041 	0.15 	0.016
Tm 3+ 	*DS 	27.3083 	1.78711 	19.3320 	0.136974 	12.3339 	7.96778 	5.38348 	17.2922 	1.63929 	0.003 	0.00 	0.001
Yb 0    *RHF 	28.6641 	1.98890 	15.4345 	0.257119 	15.3087 	10.6647 	2.98963 	100.417 	7.56672 	0.042 	0.15 	0.016
Yb 2+ 	*DS 	28.1209 	1.78503 	17.6817 	0.159970 	13.3335 	8.18304 	5.14657 	20.3900 	3.70983 	0.008 	0.00 	0.003
Yb 3+ 	*DS 	27.8917 	1.73272 	18.7614 	0.138790 	12.6072 	7.64412 	5.47647 	16.8153 	2.26001 	0.003 	0.00 	0.002
Lu 0    *RHF 	28.9476 	1.90182 	15.2208 	9.98519 	15.1000 	0.261033 	3.71601 	84.3298 	7.97628 	0.043 	0.16 	0.016
Lu 3+ 	*DS 	28.4628 	1.68216 	18.1210 	0.142292 	12.8429 	7.33727 	5.59415 	16.3535 	2.97573 	0.004 	0.14 	0.002
Hf 0    *RHF 	29.1440 	1.83262 	15.1726 	9.59990 	14.7586 	0.275116 	4.30013 	72.0290 	8.58154 	0.047 	0.08 	0.016
Hf 4+ 	*DS 	28.8131 	1.59136 	18.4601 	0.128903 	12.7285 	6.76232 	5.59927 	14.0366 	2.39699 	0.002 	0.00 	0.001
Ta 0    *RHF 	29.2024 	1.77333 	15.2293 	9.37046 	14.5135 	0.295977 	4.76492 	63.3644 	9.24354 	0.049 	0.08 	0.017
Ta 5+ 	*DS 	29.1587 	1.50711 	18.8407 	0.116741 	12.8268 	6.31524 	5.38695 	12.4244 	1.78555 	0.002 	2.00 	0.001
W  0    *RHF 	29.0818 	1.72029 	15.4300 	9.22590 	14.4327 	0.321703 	5.11982 	57.0560 	9.88750 	0.051 	0.09 	0.017
W  6+ 	*DS 	29.4936 	1.42755 	19.3763 	0.104621 	13.0544 	5.93667 	5.06412 	11.1972 	1.01074 	0.001 	0.00 	0.000
Re 0    *RHF 	28.7621 	1.67191 	15.7189 	9.09227 	14.5564 	0.350500 	5.44174 	52.0861 	10.4720 	0.052 	0.09 	0.017
Os 0    *RHF 	28.1894 	1.62903 	16.1550 	8.97948 	14.9305 	0.382661 	5.67589 	48.1647 	11.0005 	0.051 	0.09 	0.017
Os 4+ 	*DS 	30.4190 	1.37113 	15.2637 	6.84706 	14.7458 	0.165191 	5.06795 	18.0030 	6.49804 	0.006 	0.29 	0.003
Ir 0    *RHF 	27.3049 	1.59279 	16.7296 	8.86553 	15.6115 	0.417916 	5.83377 	45.0011 	11.4722 	0.050 	0.09 	0.017
Ir 3+ 	*DS 	30.4156 	1.34323 	15.8620 	7.10909 	13.6145 	0.204633 	5.82008 	20.3254 	8.27903 	0.009 	0.28 	0.004
Ir 4+ 	*DS 	30.7058 	1.30923 	15.5512 	6.71983 	14.2326 	0.167252 	5.53672 	17.4911 	6.96824 	0.006 	0.29 	0.003
Pt 0    *RHF 	27.0059 	1.51293 	17.7639 	8.81174 	15.7131 	0.424593 	5.78370 	38.6103 	11.6883 	0.046 	0.10 	0.016
Pt 2+ 	*DS 	29.8429 	1.32927 	16.7224 	7.38979 	13.2153 	0.263297 	6.35234 	22.9426 	9.85329 	0.014 	0.00 	0.006
Pt 4+ 	*DS 	30.9612 	1.24813 	15.9829 	6.60834 	13.7348 	0.168640 	5.92034 	16.9392 	7.39534 	0.006 	0.14 	0.003
Au 0    RHF 	16.8819 	0.461100 	18.5913 	8.62160 	25.5582 	1.48260 	5.86000 	36.3956 	12.0658 	0.045 	0.10 	0.015
Au 1+ 	*DS 	28.0109 	1.35321 	17.8204 	7.73950 	14.3359 	0.356752 	6.58077 	26.4043 	11.2299 	0.023 	0.12 	0.009
Au 3+ 	*DS 	30.6886 	1.21990 	16.9029 	6.82872 	12.7801 	0.212867 	6.52354 	18.6590 	9.09680 	0.009 	0.14 	0.004
Hg 0    RHF 	20.6809 	0.545000 	19.0417 	8.44840 	21.6575 	1.57290 	5.96760 	38.3246 	12.6089 	0.046 	0.10 	0.017
Hg 1+ 	*DS 	25.0853 	1.39507 	18.4973 	7.65105 	16.8883 	0.443378 	6.48216 	28.2262 	12.0205 	0.027 	0.12 	0.011
Hg 2+ 	*DS 	29.5641 	1.21152 	18.0600 	7.05639 	12.8374 	0.284738 	6.89912 	20.7482 	10.6268 	0.013 	0.00 	0.006
Tl 0    *RHF 	27.5446 	0.655150 	19.1584 	8.70751 	15.5380 	1.96347 	5.52593 	45.8149 	13.1746 	0.059 	0.09 	0.021
Tl 1+ 	*DS 	21.3985 	1.47110 	20.4723 	0.517394 	18.7478 	7.43463 	6.82847 	28.8482 	12.5258 	0.028 	0.12 	0.011
Tl 3+ 	*DS 	30.8695 	1.10080 	18.3481 	6.53852 	11.9328 	0.219074 	7.00574 	17.2114 	9.80270 	0.008 	0.01 	0.004
Pb 0    RHF 	31.0617 	0.690200 	13.0637 	2.35760 	18.4420 	8.61800 	5.96960 	47.2579 	13.4118 	0.060 	2.00 	0.021
Pb 2+ 	*DS 	21.7886 	1.33660 	19.5682 	0.488383 	19.1406 	6.77270 	7.01107 	23.8132 	12.4734 	0.020 	2.00 	0.008
Pb 4+ 	*DS 	32.1244 	1.00566 	18.8003 	6.10926 	12.0175 	0.147041 	6.96886 	14.7140 	8.08428 	0.005 	0.31 	0.002
Bi 0    RHF 	33.3689 	0.704000 	12.9510 	2.92380 	16.5877 	8.79370 	6.46920 	48.0093 	13.5782 	0.065 	2.00 	0.020
Bi 3+ 	*DS 	21.8053 	1.23560 	19.5026 	6.24149 	19.1053 	0.469999 	7.10295 	20.3185 	12.4711 	0.015 	2.00 	0.006
Bi 5+ 	*DS 	33.5364 	0.916540 	25.0946 	0.39042 	19.2497 	5.71414 	6.91555 	12.8285 	-6.7994 	0.003 	0.00 	0.001
Po 0    *RHF 	34.6726 	0.700999 	15.4733 	3.55078 	13.1138 	9.55642 	7.02588 	47.0045 	13.6770 	0.066 	2.00 	0.018
At 0    *RHF 	35.3163 	0.685870 	19.0211 	3.97458 	9.49887 	11.3824 	7.42518 	45.4715 	13.7108 	0.062 	2.00 	0.015
Rn 0    RHF 	35.5631 	0.663100 	21.2816 	4.06910 	8.00370 	14.0422 	7.44330 	44.2473 	13.6905 	0.054 	2.00 	0.012
Fr 0    *RHF 	35.9299 	0.646453 	23.0547 	4.17619 	12.1439 	23.1052 	2.11253 	150.645 	13.7247 	0.055 	2.00 	0.017
Ra 0    *RHF 	35.7630 	0.616341 	22.9064 	3.87135 	12.4739 	19.9887 	3.21097 	142.325 	13.6211 	0.037 	2.00 	0.012
Ra 2+ 	*DS 	35.2150 	0.604909 	21.6700 	3.57670 	7.91342 	12.6010 	7.65078 	29.8436 	13.5431 	0.029 	2.00 	0.006
Ac 0    *RHF 	35.6597 	0.589092 	23.1032 	3.65155 	12.5977 	18.5990 	4.08655 	117.020 	13.5266 	0.030 	0.06 	0.009
Ac 3+ 	*DS 	35.1736 	0.579689 	22.1112 	3.41437 	8.19216 	12.9187 	7.05545 	25.9443 	13.4637 	0.021 	2.00 	0.004
Th 0    *RHF 	35.5645 	0.563359 	23.4219 	3.46204 	12.7473 	17.8309 	4.80703 	99.1722 	13.4314 	0.031 	0.07 	0.008
Th 4+ 	*DS 	35.1007 	0.555054 	22.4418 	3.24498 	9.78554 	13.4661 	5.29444 	23.9533 	13.3760 	0.014 	2.00 	0.002
Pa 0    *RHF 	35.8847 	0.547751 	23.2948 	3.41519 	14.1891 	16.9235 	4.17287 	105.251 	13.4287 	0.033 	0.06 	0.010
U  0     RHF 	36.0228 	0.529300 	23.4128 	3.32530 	14.9491 	16.0927 	4.18800 	100.613 	13.3966 	0.035 	0.07 	0.010
U  3+ 	*DS 	35.5747 	0.520480 	22.5259 	3.12293 	12.2165 	12.7148 	5.37073 	26.3394 	13.3092 	0.009 	2.00 	0.002
U  4+ 	*DS 	35.3715 	0.516598 	22.5326 	3.05053 	12.0291 	12.5723 	4.79840 	23.4582 	13.2671 	0.007 	2.00 	0.001
U  6+ 	*DS 	34.8509 	0.507079 	22.7584 	2.89030 	14.0099 	13.1767 	1.21457 	25.2017 	13.1665 	0.003 	2.00 	0.001
Np 0    *RHF 	36.1874 	0.511929 	23.5964 	3.25396 	15.6402 	15.3622 	4.18550 	97.4908 	13.3573 	0.037 	0.07 	0.011
Np 3+ 	*DS 	35.7074 	0.502322 	22.6130 	3.03807 	12.9898 	12.1449 	5.43227 	25.4928 	13.2544 	0.006 	2.00 	0.002
Np 4+ 	*DS 	35.5103 	0.498626 	22.5787 	2.96627 	12.7766 	11.9484 	4.92159 	22.7502 	13.2116 	0.005 	2.00 	0.001
Np 6+ 	*DS 	35.0136 	0.489810 	22.7286 	2.81099 	14.3884 	12.3300 	1.75669 	22.6581 	13.1130 	0.002 	2.00 	0.001
Pu 0    *RHF 	36.5254 	0.499384 	23.8083 	3.26371 	16.7707 	14.9455 	3.47947 	105.980 	13.3812 	0.038 	0.14 	0.013
Pu 3+ 	*DS 	35.8400 	0.484938 	22.7169 	2.96118 	13.5807 	11.5331 	5.66016 	24.3992 	13.1991 	0.005 	2.00 	0.001
Pu 4+ 	*DS 	35.6493 	0.481422 	22.6460 	2.89020 	13.3595 	11.3160 	5.18831 	21.8301 	13.1555 	0.003 	2.00 	0.001
Pu 6+ 	*DS 	35.1736 	0.473204 	22.7181 	2.73848 	14.7635 	11.5530 	2.28678 	20.9303 	13.0582 	0.001 	1.36 	0.001
Am 0    *RHF 	36.6706 	0.483629 	24.0992 	3.20647 	17.3415 	14.3136 	3.49331 	102.273 	13.3592 	0.040 	0.07 	0.013
Cm 0    *RHF 	36.6488 	0.465154 	24.4096 	3.08997 	17.3990 	13.4346 	4.21665 	88.4834 	13.2887 	0.041 	0.07 	0.013
Bk 0    *RHF 	36.7881 	0.451018 	24.7736 	3.04619 	17.8919 	12.8946 	4.23284 	86.0030 	13.2754 	0.042 	0.07 	0.014
Cf 0    *RHF 	36.9185 	0.437533 	25.1995 	3.00775 	18.3317 	12.4044 	4.24391 	83.7881 	13.2674 	0.043 	0.07 	0.014