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Relativistic atomic form factors and photon coherent scattering cross sections

 

作者: J. H. Hubbell,   I. O&slash;verbo&slash;,  

 

期刊: Journal of Physical & Chemical Reference Data  (AIP Available online 1979)
卷期: Volume 8, issue 1  

页码: 69-106

 

ISSN:0047-2689

 

年代: 1979

 

DOI:10.1063/1.555593

 

出版商: AIP

 

数据来源: AIP

 

摘要:

Tabulations are presented of relativistic Hartree‐Fock atomic form factorsF(x,Z), for values ofx(=sin(&Vthgr;/2)/&lgr; from 0.01 to 109A˚−1, for all elementsZ=1 to 100. ForZ=1,F(x,Z) is given by the exact expression of Pirenne. ForZ=2 to 98,x=0.01 to 2.0 A˚−1, the tabulated values are those of Cromer and Waber given in theInternationalTablesforX−RayCrystallography(Vol. IV, 1974), based in part on the work of Doyle and Turner. ForZ=21 to 92,x=2.2 to 6.0 A˚−1, the present tables are based on the values of Doyle and Turner and additional values (Z=44,60,68, and 74) as given by O&slash;verbo&slash;. ForZ=3 to 20.x=2.2 to 45 A˚−1,Z=21 to 92,x=62 to 45 A˚−1the tables are interpolated from values given for 36 elements by O&slash;verbo&slash;, extended tox=109A˚−1using O&slash;verbo&slash;’s corrections to the Bethe‐LevingerK‐shell expression. The remainder of the table is filled in by interpolation and extrapolation, guided for highx‐values by the Bethe‐Levinger result. Tables of relativistic coherent (Rayleigh) scattering cross sections, obtained by numerical integration of the Thomson formula weighted byF2(x,Z), are presented for all elementsZ=1 to 100, for photon energies 100 eV (&lgr;=124 A˚=12.4 nm) to 100 MeV (&lgr;=0.000 124 A˚=12.4 fm). Departures from the nonrelativistic coherent scattering cross sections tabulated in J. Phys. Chem. Ref. Data 4, 471 (1975) are less than 1% forZ<20. However for a high‐Zelement such as lead, for example, the relativistic coherent scattering cross section is systematically higher by less than 0.4% below 1 keV, by 8% at 100 keV and by 13% above 1 MeV.

 

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