Theory of X-ray diffraction on a lateral crystal with elastically bent lattice planes
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A theory of X-ray diffraction on a lateral crystal with elastically bent lattice planes is developed within the framework of the kinematic approximation. Analytical solutions for coherent and diffuse scattering are obtained in application to high-resolution triple-axis diffractometry. The angular distribution of the intensity of coherent and diffuse scattering near a node of the reciprocal lattice are numerically simulated. It is shown that the pattern of X-ray diffraction from a crystal with a trapezoidal cross section and elastically bent lattice planes has a “butterfly” shape that was previously observed in experiment.
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- 6.M. Abramovitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1971; Nauka, Moscow, 1979).Google Scholar