Compton scattering of x-rays from nonspherical charge distributions

A. J. Freeman*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


The Waller-Hartree theory for the incoherent Compton scattering of x-rays is extended to include the effects fo the inherent nonsphericity of atomic charge distributions. The dependence of the scattering on atomic orientation is treated by a general formalism which depends on the use of the matrix elements of a unitary representation of the group of three-dimensional rotations. Application is made to derive the one-electron scattering matrix elements from atoms with s, p, and d electrons. It is shown that by a proper averaging over all orientations of the scattering vector, "mean" scattering formulas result which may be used directly for predicting the scattering from monatomic gases.

Original languageEnglish (US)
Pages (from-to)169-175
Number of pages7
JournalPhysical Review
Issue number1
StatePublished - Dec 1 1959

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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