Abstract
The reflection power ratio PH/P0, transmission power ratio PT/P0 and absorption power ratio PA/P0 for a mosaic crystal plate under asymmetric Bragg and Laue geometry are obtained by solving power transfer equations employing three dimensionless parameters: an asymmetry factor b, the ratio ξ of the absorption to the scattering cross section, and the reduced thickness Ak of the crystal. Expressions are given for the optimum monochromator thickness for asymmetric Laue geometry, and the angular dependence of PH/P0, PT/P0 for Bragg geometry in the crystals having different ξ0 and Ak0. As a demonstration of the feasibility of this method, the integrated reflection power ratio experiment by Mathieson [Acta Cryst. (1975), A31, 769–774] is reanalyzed and good agreement is obtained. The standard formulae for integrated reflection by a mosaic crystal given in International Tables for X-ray Crystallography [(1972). Birmingham: Kynoch Press] based on the kinematic approximation are shown to be only the limiting case of the exact solution for ξ0 >> 1.
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