Theory of Diffuse Scattering of X-rays by Local Lattice Distortions

Abstract

A general formula for the diffuse scattering of X-rays is derived for the crystal which has a local lattice distortion due to any kind of lattice defect. The intensity is expressible in terms of the Fourier transform of the potential energy parameters, similar to that introduced by Begbie and Born in their theory of diffuse scattering by lattice vibrations, and that of external forces causing the distortion. It is shown that our diffuse scattering may be observed in some crystal in which the density of the lattice defect exceeds a certain value.