X-ray extinction changes due to dislocations

Abstract

A correct interpretation of the diffraction phenomenon in crystals with low dislocation content, for which the kinematical scattering theory does not yield any reasonable results, was carried out by X‐ray extinction treatments. Different approaches to investigating the dislocation‐induced X‐ray extinction changes are reviewed and the applicability of the statistical dynamical theory to analysis of the substructure characteristics of crystals is discussed. A relationship between the scattering amplitudes and the dislocation density in crystals is established by using pair correlation functions. A procedure for determination of the substructure characteristics by means of measurements of the integrated intensities is proposed. The tests illustrate satisfactory agreement of the investigated approaches with experimental data.

In-situ neutron diffraction analysis of deformation behavior of ductile rare-earth intermetallic YCu

“…Neither of these studies specifically addresses how dislocation cell structure would contribute to changes in the dynamical nature of diffraction within a sampled plastically deformed due to dislocation slip mechanisms. Masimov [120] proposed a method of determining substructure characteristics by means of measuring integrated intensities when working with X-rays. Palacios-Gomez [121] describes a simple mathematical description of the relationship between mosaic block size and dislocation density.…”