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

International Tables for Crystallography (2006). Vol. C. ch. 4.2, p. 258

Section 4.2.6.5. Tables of the dispersion corrections for forward scattering, averaged polarization using the relativistic multipole approach

D. C. Creaghb

4.2.6.5. Tables of the dispersion corrections for forward scattering, averaged polarization using the relativistic multipole approach

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See Subsection 4.2.6.3[link] for comments on the accuracy of these tables. Note also that in the neighbourhood of absorption edges the values for condensed matter may be significantly different from the values in the tables due to XAFS and XANES effects. The values in Table 4.2.6.8[link] are for scattering by isolated atoms.

Table 4.2.6.8| top | pdf |
Dispersion corrections for forward scattering

Wavelength (Å)2.7485102.2896201.9359701.7889651.5405200.7092600.5593600.2159470.2090100.180195
Li f′ =0.00350.00230.00150.00130.0008−0.0003−0.0004−0.0006−0.0006−0.0006
f′′=0.00130.00080.00060.00050.00030.00010.00000.00000.00000.0000
Be f′ =0.01170.00830.00600.00520.00380.00050.0001−0.0005−0.0005−0.0005
f′′=0.00500.00330.00230.00190.00140.00020.00010.00000.00000.0000
B f′ =0.02630.01900.01400.01210.00900.00130.0004−0.0009−0.0009−0.0010
f′′=0.01390.00940.00650.00550.00390.00070.00040.00000.00000.0000
C f′ =0.04900.03640.02730.02370.01810.00330.0015−0.0012−0.0013−0.0014
f′′=0.03130.02130.01480.01250.00910.00160.00090.00010.00010.0001
N f′ =0.08070.06060.04610.04030.03110.00610.0030−0.0020−0.0020−0.0023
f′′=0.06060.04160.02930.02480.01800.00330.00190.00020.00020.0001
O f′ =0.12130.09280.07160.06300.04920.01060.0056−0.0025−0.0026−0.0030
f′′=0.10570.07310.05180.04400.03220.00600.00360.00040.00040.0003
F f′ =0.17000.13240.10370.09200.07270.01710.0096−0.0027−0.0028−0.0034
f′′=0.17100.11920.08510.07250.05340.01030.00610.00070.00070.0005
Ne f′ =0.22570.17930.14260.12730.10190.02590.0152−0.0025−0.0028−0.0037
f′′=0.26210.18370.13180.11260.08330.01640.00980.00120.00110.0008
Na f′ =0.28010.22950.18570.16700.13530.03620.0218−0.0028−0.0031−0.0044
f′′=0.38290.26990.19570.16670.12390.02490.01500.00190.00170.0012
Mg f′ =0.32990.27780.23090.20940.17190.04860.0298−0.0030−0.0034−0.0052
f′′=0.53650.38120.27650.23730.17710.03630.02200.00280.00260.0018
Al f′ =0.37600.32600.27740.25510.21300.06450.0406−0.0020−0.0026−0.0050
f′′=0.72870.52120.38070.32760.24550.05140.03130.00400.00370.0027
Si f′ =0.39210.36470.32090.29790.25410.08170.0522−0.0017−0.0025−0.0055
f′′=0.96190.69210.50810.43840.33020.07040.04310.00560.00520.0038
P f′ =0.38210.38980.35920.33880.29550.10230.0667−0.0002−0.0012−0.0050
f′′=1.24230.89840.66280.57310.43350.09420.05800.00770.00710.0052
S f′ =0.31670.38990.38480.37060.33310.12460.08260.00150.0003−0.0045
f′′=1.56651.14100.84570.73290.55670.12340.07630.01030.00960.0069
Cl f′ =0.18320.35080.39200.38920.36390.14840.09980.00320.0017−0.0042
f′′=1.93841.42221.05960.92020.70180.15850.09840.01340.01250.0091
Ar f′ =−0.06560.26090.36960.38800.38430.17430.11910.00590.0041−0.0030
f′′=2.36701.74581.30871.13880.87170.20030.12490.01740.01620.0118
K f′ =−0.50830.09140.30680.35320.38680.20090.13990.00890.0067−0.0017
f′′=2.84372.10891.58881.38651.06570.24940.15620.02190.02040.0149
Ca f′ =−1.3666−0.19870.18670.27820.36410.22620.16110.01220.0097−0.0002
f′′=3.36942.51381.90320.66481.28550.30640.19260.02730.02550.0187
Sc f′ =−5.4265−0.6935−0.01200.14740.31190.25190.18290.01590.01300.0015
f′′=4.00172.96462.25571.97741.53310.37160.23480.03380.03150.0231
Ti f′ =−2.2250−1.6394−0.3318−0.06170.21910.27760.20600.02120.01790.0047
f′′=0.52643.45382.64252.32131.80690.44570.28300.04140.03870.0284
V f′ =−1.6269−4.4818−0.8645−0.38710.06870.30050.22760.02590.02210.0070
f′′=0.63400.45753.06442.69942.10970.52940.33760.05000.04680.0344
Cr f′ =−1.2999−2.1308−1.9210−0.9524−0.16350.32090.24960.03140.02720.0101
f′′=0.75690.54683.52513.11302.44390.62360.39920.05990.05610.0413
Mn f′ =−1.0732−1.5980−3.5716−2.0793−0.52990.33680.27040.03770.03300.0139
f′′=0.89560.64790.47983.55462.80520.72830.46810.07120.06660.0492
Fe f′ =−0.8901−1.2935−2.0554−3.3307−1.13360.34630.28860.04380.03860.0173
f′′=1.05210.76200.56490.49013.19740.84440.54480.08400.07870.0582
Co f′ =−0.7307−1.0738−1.5743−2.0230−2.36530.34940.30500.05120.04540.0219
f′′=1.22720.88970.66020.57313.61430.97210.62960.09840.09210.0682
Ni f′ =−0.5921−0.9005−1.2894−1.5664−3.00290.33930.31470.05630.05000.0244
f′′=1.42401.03310.76710.66620.50911.11240.72320.11460.10740.0796
Cu f′ =−0.4430−0.7338−1.0699−1.2789−1.96460.32010.32400.06470.05790.0298
f′′=1.64271.19300.88640.77000.58881.26510.82570.13260.12420.0922
Zn f′ =−0.3524−0.6166−0.9134−1.0843−1.54910.28390.32420.07220.06480.0344
f′′=1.88611.37121.01930.88570.67781.43010.93750.15260.14300.1063
Ga f′ =−0.2524−0.4989−0.7701−0.9200−1.28460.23070.31790.08000.07210.0393
f′′=2.15181.56741.16631.01380.77631.60831.05890.17450.16360.1218
Ge f′ =−0.1549−0.3858−0.6412−0.7781−1.08850.15470.30160.08800.07960.0445
f′′=2.44451.78411.32911.15570.88551.80011.19030.19870.18630.1389
As f′ =−0.0687−0.2871−0.5260−0.6523−0.93000.04990.27580.09620.08730.0501
f′′=2.76272.01941.50691.31091.00512.00581.33140.22520.21120.1576
Se f′ =0.0052−0.1919−0.4179−0.5390−0.7943−0.09290.23670.10470.09540.0560
f′′=3.11312.27841.70271.48211.13722.22591.48310.25430.23860.1782
Br f′ =0.0592−0.1095−0.3244−0.4363−0.6763−0.29010.18110.11060.10260.0613
f′′=3.49012.55781.91401.66731.28052.45951.64520.28580.26820.2006
Kr f′ =0.1009−0.0316−0.2303−0.3390−0.5657−0.55740.10670.11800.10820.0668
f′′=3.90832.86692.14721.87131.43852.70791.81920.31970.30030.2251
Rb f′ =0.10560.0247−0.1516−0.2535−0.4688−0.93930.00680.12470.11460.0717
f′′=4.35053.19542.39602.08931.60792.96762.00250.35610.33460.2514
Sr f′ =0.12200.1037−0.0489−0.1448−0.3528−1.5307−0.11720.13210.12190.0769
f′′=4.89463.60292.70602.36141.82003.24982.20250.39640.37260.2805
Y f′ =0.06540.12630.0138−0.0720−0.2670−2.7962−0.28790.13800.12780.0819
f′′=5.41983.99643.00542.62412.02443.56672.40990.43900.41280.3112
Zr f′ =−0.03040.13380.0659−0.0066−0.1862−2.9673−0.53640.14310.13290.0863
f′′=5.98184.42263.33012.90862.24490.55972.61410.48520.45620.3443
Nb f′ =−0.16590.12110.10720.0496−0.1121−2.0727−0.82820.14710.13710.0905
f′′=6.58034.87613.67683.21332.48260.62152.84040.53420.50250.3797
Mo f′ =−0.34870.08010.13010.0904−0.0483−1.6832−1.27030.14870.13910.0934
f′′=7.20475.34844.03883.53262.73390.68573.09780.58620.55170.4177
Tc f′ =−0.6073−0.00250.13140.11640.0057−1.4390−2.00870.14960.14060.0960
f′′=7.87395.85974.43313.87993.00490.75933.34900.64240.60470.4582
Ru f′ =−0.9294−0.10910.12200.13310.0552−1.2594−5.36300.14910.14090.0981
f′′=8.59886.40694.85404.25093.29600.83633.65060.70160.66070.5014
Rh f′ =−1.3551−0.26300.08610.13050.0927−1.1178−2.52800.14450.13730.0970
f′′=9.35046.98205.29854.64323.60450.91870.59640.76390.71950.5469
Pd f′=−1.9086−0.46400.02790.11280.1215−0.9988−1.95560.13870.13270.0959
f′′=10.14417.59385.77195.06133.93371.00720.65460.83020.78220.5955
Ag f′ =−2.5003−0.7387−0.07000.06340.1306−0.8971−1.64730.12950.12510.0928
f′′=10.99168.23586.27095.50274.28201.10150.71670.90010.84840.6469
Cd f′ =−3.5070−1.1086−0.2163−0.02140.1185−0.8075−1.43960.11710.11470.0881
f′′=11.90198.91746.80175.97284.65331.20240.78320.97410.91850.7013
In f′ =−5.1325−1.5975−0.4165−0.14730.0822−0.7276−1.28430.10130.10120.0816
f′′=12.63109.62907.35946.46745.04491.31000.85421.05190.99220.7587
Sn f′ =−7.5862−2.2019−0.6686−0.30970.0259−0.6537−1.15870.08090.08390.0728
f′′=13.516810.37427.94736.98965.45911.42460.92991.13371.06970.8192
Sb f′ =−9.2145−3.0637−0.9868−0.5189−0.0562−0.5866−1.05470.05590.06190.0613
f′′=12.766111.10268.56207.53675.89461.54611.01041.21961.15120.8830
Te f′ =−11.6068−4.2407−1.4022−0.7914−0.1759−0.5308−0.97100.02160.03160.0435
f′′=−10.101311.80799.20678.11136.35311.67511.09601.30951.23660.9499
I f′ =−13.9940−5.63531.90321.1275−0.3257−0.4742−0.8919−0.0146−0.00010.0259
f′′=3.407112.61569.88528.71596.83621.81191.18681.40371.32591.0201
Xe f′ =−9.6593−8.1899−2.6313−1.5532−0.5179−0.4205−0.8200−0.0565−0.03670.0057
f′′=3.706311.740710.57769.35857.35001.95781.28381.50231.41951.0938
Cs f′ =−8.1342−10.3310−3.5831−2.1433−0.7457−0.3680−0.7527−0.1070−0.08090.0194
f′′=4.073212.855111.290210.04547.90522.11921.39161.60581.51791.1714
Ba f′ =−7.2079−11.0454−4.6472−2.7946−1.0456−0.3244−0.6940−0.1670−0.1335−0.0494
f′′=4.411010.091912.000310.70918.46172.28191.50041.71271.61941.2517
La f′ =−6.5722−12.8190−6.3557−3.6566−1.4094−0.2871−0.6411−0.2363−0.1940−0.0835
f′′=4.75873.564812.892711.43369.03762.45231.61481.82381.72501.3353
Ce f′ =−6.0641−9.3304−8.0962−4.8792−1.8482−0.2486−0.5890−0.3159−0.2633−0.1222
f′′=5.13013.843311.873412.13509.65962.63311.73581.93981.83531.4227
Pr f′ =−5.6727−7.9841−10.9279−6.7923−2.4164−0.2180−0.5424−0.4096−0.3443−0.1666
f′′=5.50914.13049.239412.865310.28202.82141.86242.05991.94961.5136
Nd f′ =−5.3510−7.1451−10.5249−8.1618−3.1807−0.1943−0.5012−0.5194−0.4389−0.2183
f′′=5.90054.42789.981411.912110.90793.01791.99502.18432.06791.6077
Pm f′ =−5.0783−6.5334−13.2062−10.0720−4.0598−0.1753−0.4626−0.6447−0.5499−0.2776
f′′=6.31444.74223.62789.232411.55233.22492.13472.31432.19061.7056
Sm f′ =−4.8443−6.0570−9.3497−10.2609−5.3236−0.1638−0.4287−0.7989−0.6734−0.3455
f′′=6.75245.07443.88399.941212.21783.44182.28152.45102.31971.8069
Eu f′ =−4.6288−5.6630−7.9854−13.5405−8.9294−0.1578−0.3977−0.9903−0.8137−0.4235
f′′=7.20355.41784.14983.655011.18573.66822.43512.58962.45261.9120
Gd f′ =−4.5094−5.3778−7.1681−9.3863−8.8380−0.1653−0.3741−1.2279−1.0234−0.5140
f′′=7.67085.77564.42803.901611.91573.90352.59542.73042.58782.0202
Tb f′ =−4.3489−5.0951−6.5583−8.0413−9.1472−0.1723−0.3496−1.5334−1.2583−0.6165
f′′=8.18826.16674.72924.16749.18914.15372.76542.87972.73102.1330
Dy f′ =−4.1616−4.8149−6.0597−7.1503−9.8046−0.1892−0.3302−1.9594−1.5632−0.7322
f′′=8.69456.55275.02804.43209.84774.40982.94043.02742.87332.2494
Ho f′ =−4.0280−4.5887−5.6628−6.5338−14.9734−0.2175−0.3168−2.6705−1.9886−0.8709
f′′=9.23026.96195.34514.71293.70464.67833.12413.17993.02182.3711
Er f′ =−3.9471−4.4106−5.3448−6.0673−9.4367−0.2586−0.3091−5.5645−2.6932−1.0386
f′′=9.79217.39105.67765.00743.93804.95763.31580.61673.16952.4949
Tm f′ =−3.9079−4.2698−5.0823−5.6969−8.0393−0.3139−0.3084−2.8957−5.6057−1.2397
f′′=10.37637.83856.02495.31514.18215.24833.51550.65690.61922.6240
Yb f′ =−3.8890−4.1523−4.8591−5.3940−7.2108−0.3850−0.3157−2.4144−2.9190−1.4909
f′′=10.97428.29696.38135.63094.43295.54863.72290.69940.65922.7538
Lu f′ =−3.9056−4.0630−4.6707−5.1360−6.6179−0.4720−0.3299−2.1535−2.4402−1.8184
f′′=11.57878.76496.74845.95744.69375.85843.93770.74360.70102.8890
Hf f′ =−4.0452−4.0564−4.4593−4.9466−6.1794−0.5830−0.3548−1.9785−2.1778−2.2909
f′′=12.25469.28327.15186.31504.97766.18524.16430.79050.74543.0246
Ta f′ =−4.0905−3.9860−4.3912−4.7389−5.7959−0.7052−0.3831−1.8534−2.0068−3.1639
f′′=12.94799.81717.56866.68505.27186.52274.39920.83920.79153.1610
W f′ =−4.1530−3.9270−4.2486−4.5529−5.4734−0.8490−0.4201−1.7565−1.8819−3.8673
f′′=13.664310.36968.00057.06885.57746.87224.64300.89050.83880.6433
Re f′ =−4.2681−3.9052−4.1390−4.4020−5.2083−1.0185−0.4693−1.6799−1.7868−2.8429
f′′=14.393110.93468.44357.46315.89237.23104.89440.94410.89070.6827
Os f′ =−4.4183−3.9016−4.0478−4.2711−4.9801−1.2165−0.5280−1.6170−1.7107−2.4688
f′′=15.155311.52518.90677.87536.22167.60305.15581.00010.94370.7238
Ir f′ =−4.5860−3.9049−3.9606−4.1463−4.7710−1.4442−0.5977−1.5648−1.6486−2.2499
f′′=15.955812.14539.39238.30746.56677.98875.42691.05890.99930.7669
Pt f′ =−4.8057−3.9435−3.8977−4.0461−4.5932−1.7033−0.6812−1.5228−1.5998−2.1036
f′′=16.787012.79109.89858.75786.92648.39055.70811.11931.05650.8116
Au f′ =−5.0625−3.9908−3.8356−3.9461−4.4197−2.0133−0.7638−1.4693−1.5404−1.9775
f′′=17.640013.455110.42029.22227.29808.80225.99781.18331.11710.8589
Hg f′ =−5.4327−4.1029−3.8228−3.8921−4.2923−2.3894−0.8801−1.4389−1.5055−1.8958
f′′=18.524114.147310.96509.70767.68499.22666.29891.24831.17960.9080
Tl f′ =−5.8163−4.2233−3.8103−3.8340−4.1627−2.8358−1.0117−1.4111−1.4740−1.8288
f′′=19.437814.864311.530010.21088.09009.66886.60901.31891.24560.9594
Pb f′ =−6.4779−4.4167−3.8519−3.8236−4.0753−3.3944−1.1676−1.3897−1.4497−1.7773
f′′=20.333615.598712.110610.72928.506010.11116.92871.39091.31371.0127
Bi f′ =−7.0419−4.6533−3.9228−3.8408−4.0111−4.1077−1.3494−1.3721−1.4290−1.7346
f′′=21.219616.344812.701711.25758.931010.25667.25661.46611.38511.0685
Po f′ =−7.7195−4.9604−4.0267−3.8855−3.9670−5.1210−1.5613−1.3584−1.4133−1.7005
f′′=22.197417.141013.332911.82099.383411.04967.59861.54431.45921.1266
At f′ =−8.5994−5.3399−4.1781−3.9706−3.9588−7.9122−1.8039−1.3540−1.4066−1.6784
f′′=23.221317.939013.970912.39159.84339.97777.95091.62601.53671.1876
Rn f′ =−10.2749−5.7275−4.3331−4.0549−3.9487−8.0659−2.0847−1.3475−1.3982−1.6571
f′′=24.261318.772014.631312.981510.318110.45808.31121.71031.61671.2504
Fr f′ =−10.8938−6.2180−4.5387−4.1818−3.9689−7.2224−2.4129−1.3404−1.3892−1.6367
f′′=24.304119.600915.301613.582510.80387.78478.68391.79861.70041.3162
Ra f′ =−12.3462−6.7502−4.7764−4.3309−4.0088−6.7704−2.8081−1.3462−1.3931−1.6299
f′′=25.537420.438915.977814.190211.29698.14359.06141.88911.78631.3840
Ac f′ =−12.3496−7.4161−5.0617−4.5270−4.0794−6.8494−3.2784−1.3473−1.3922−1.6190
f′′=25.136321.305316.668714.809611.79948.51789.45021.98451.87701.4553
Th f′ =−13.6049−8.2118−5.3692−4.7310−4.1491−7.2400−3.8533−1.3524−1.3955−1.6136
f′′=26.251122.224817.401815.464212.32968.89799.84032.08191.96951.5284
Pa f′ =−14.4639−9.4459−5.7337−4.9639−4.2473−8.0334−4.6067−1.3672−1.4083−1.6170
f′′=27.447523.154818.140616.129512.86819.280710.24132.18352.06611.6047
U f−12.3528−9.9362−6.1485−5.2392−4.3638−9.6767−5.7225−1.3792−1.4184−1.6188
f′′30.172523.123918.872816.795213.40909.664610.64282.28761.16501.6831
Np f−17.4143−11.1080−6.6136−5.5633−4.5053−11.4937−6.9995−1.3941−1.4312−1.6231
f′′31.740524.116819.637917.483713.96664.41939.58762.39582.26791.7648
Pu f−18.0862−11.4073−6.9721−5.8130−4.6563−9.4100−13.5905−1.4180−1.4527−1.6351
f′′33.896323.296020.154817.957914.37294.30566.94682.49792.36521.8430
Am f−19.7042−11.7097−7.7881−6.2920−4.8483−7.8986−6.7022−1.4359−1.4684−1.6424
f′′37.371624.571521.173818.861815.08774.51257.31082.62182.48291.9358
Cm f−24.9307−10.4100−8.6102−6.7506−5.0611−7.3248−6.2891−1.4655−1.4952−1.6592
f′′41.485225.811521.888019.511915.63554.69807.60442.74212.59742.0271
Bk f−32.8492−9.2185−9.3381−7.4293−5.3481−6.8498−6.3438−1.4932−1.5203−1.6746
f′′32.542129.302821.951420.358116.31904.90867.94772.86532.71472.1208
Cf f−23.6520−23.5202−9.7799−7.8616−5.5545−6.6561−6.4144−1.5323−1.5562−1.6984
f′′21.933431.299922.485820.853616.74285.07858.19302.98072.82502.2102








































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