Propagation of X-rays in distorted crystals under dynamical diffraction

The basic equations of the dynamical theory of X-ray diffraction for distorted crystals (the Takagi-Taupin equations) are derived and reviewed in two most useful forms. Numerical methods of their solution for a general deformation and for the case of depth-depending strain gradients are discussed. A...

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Bibliographic Details
Published in:Physics reports 1991, Vol.206 (1), p.1-41
Main Author: Gronkowski, Jerzy
Format: Article
Language:English
Subjects:
Condensed matter: structure, mechanical and thermal properties
Exact sciences and technology
Physics
Structure of solids and liquids
crystallography
X-ray diffraction and scattering
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Summary:The basic equations of the dynamical theory of X-ray diffraction for distorted crystals (the Takagi-Taupin equations) are derived and reviewed in two most useful forms. Numerical methods of their solution for a general deformation and for the case of depth-depending strain gradients are discussed. Applications of simulation techniques for studies of physical effects accompanying propagation of X-ray beams in distorted crystals (curved trajectories, interbranch scattering, Fraunhofer diffraction, spherical-wave interferences, standing waves) are reviewed.
ISSN:0370-1573
1873-6270
DOI:10.1016/0370-1573(91)90086-2