Analytic approximation for incoherent scattered X-ray intensities

Abstract

It has been found that the incoherent scattered intensities of various atoms can be accurately approximated by a formula containing three individual parameters and the atomic scattering factor, the latter also being given by one of the known approximative formulae. The parameters and weighted deviations have been calculated for 44 atoms and ions, respectively. Accuracy is demonstrated in detail in the example of the oxygen atom.