Rozhenko N. The use of the regularization method for determining characteristics of the substructure of crystalline materials in the form of diffraction curves

The dissertation is devoted to development of methods for studying the defective state of crystalline materials, which is based on digital processing of their X-ray patterns’, that amount to increase the resolving ability of the equipment. The effect of increasing the resolution is achieved by eliminating the instrumental broadening by the Tikhonov’s regularization method and by the transition from experimental diffraction lines to the physical diffraction curves of the objects. The developed method includes a procedure of separation of X-ray diffraction effects on CSR and crystal lattice microstrain which summarizes the method of moments and the Hall-Williamson, free from a priori assumptions about the law microstrain distribution takes into account the shape of complete physical profile, the nature of a blur function in the coherent scattering region and allows you to define the density distribution function microstrain. Using the presented technique, the defect state of W, WC, and Fe powders after grinding of different durations was studied; such fine structure characteristics as average values of microstrains and CSR sizes, their dependence on grinding time, and the distribution of microstrains in W and WC powders were determined.