The statistical kinematical theory of X-ray diffraction as applied to reciprocal-space mapping

The statistical kinematical X-ray diffraction theory is developed to descri be reciprocal-space maps (RSMs) from deformed crystals with defects of the structure. The general solutions for coherent and diffuse components of the scattered intensity in reciprocal space are derived. As an example, the ex plicit expressions for intensity distributions in the case of spherical def ects and of a mosaic crystal were obtained. The theory takes into account t he instrumental function of the triple-crystal diffractometer and can there fore be used for experimental data analysis.