Increase of exactness of quantitative estimates of the Hall—Williamson graphic method due to digital processing of X-ray patterns

Abstract

A technique for digital processing of X-ray patterns is presented, which is equivalent to increasing the resolution of equipment, using its example to study the defective state of powders W after grinding of different durations. The effect of increasing the resolution of the equipment is provided by applying the stable Tikhonov regularization method to the restoration of the physical broadening profiles. To separate the diffraction effects in the coherent scattering regions (CSR) and microdeformation, a modification of the Hall—Williamson graphic method is proposed, which consists in applying it to the integral widths of the reconstructed physical profiles. Examples of calculation of the parameters of the substructure of powders W and WC show that the developed technique, while maintaining the simplicity of the Hall-Williamson method, makes it possible to achieve the accuracy of the method of harmonic analysis of the shape of the X-ray lines within its applicability. Full text download