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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. 7.4, p. 659
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This statistical model of the atomic charge density (Thomas, 1927![[link]](/graphics/greenarr.gif)
; Fermi, 1928) considerably simplifies the calculation of coherent and incoherent scattering factors since both can be written as universal functions of K and Z. Numerical values were first calculated by Bewilogua (1931); more recent calculations have been made by Brown (1966) and Veigele (1967). The method is less accurate than Waller–Hartree theory, but it is a much simpler computation.
References
Bewilogua, L. (1931). Incoherent scattering of X-rays. Phys. Z. 32, 740–744.Google Scholar
Brown, W. D. (1966). Cross-sections for coherent/incoherent X-ray scattering. Reports D2-125136-1 and 125137-1. Boeing Co.Google Scholar
Fermi, E. (1928). Statistical methods of investigating electrons in atoms. Z. Phys. 48, 73–79.Google Scholar
Thomas, L. H. (1927). Calculation of atomic fields. Proc. Cambridge Philos. Soc. 33, 542–548.Google Scholar
Veigele, W. J. (1967). Research of X-ray scattering cross sections: final report. Report KN-379-67-3(R). Kaman Sciences Corp.Google Scholar
