X-Ray Diffraction in Distorted Crystals and Imperfect Multilayered Structures. A Theoretical Approach Based on Recursion Equationsстатья
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Дата последнего поиска статьи во внешних источниках: 13 января 2015 г.
Аннотация:The well known Darwin approach is extended to study the problem of X-ray diffraction by both distorted crystals and imperfect crystalline multilayered structures with a deformation field of arbitrary form and/or a spatial variation of the polarizability. On the basis of Darwin’s method the recursion equations describing three-dimensional dynamical diffraction in the above crystals and structures are derived. The analytical solution of these equations is obtained within the kinematical approximation. This solution is used for the calculation of X-ray diffuse scattering from nonperiodic crystalline multilayered structures that are characterized by a random deformation field. Numerical examples of calculated reciprocal space maps are given. The relationship between the presented recursion equations and the Takagi-Taupin differential equations is found.