Temperature Dependence of X-Ray Absorption by Crystals 1. Photo-Electric Absorption

Abstract

The effects of the inelastic scattering on X-ray diffraction by a single crystal are theoretically studied. A fundamental dispersion equation for the microscopic electromagnetic fields is quantum mechanically given. By the use of Van Hove's scattering function the temperature dependence of the absorption coefficient is calculated in the case of the photo-electric absorption of X-rays. The temperature dependence calculated in this way is just e - M (in usual notation) if the higher phonon excitation is neglected.