Trajectory method in the theory of laue diffraction of X-rays in crystals: I. General formulas and accuracy estimation
- Russian Research Centre Kurchatov Institute (Russian Federation), E-mail: kohn@kurm.polyn.kiae.su
The most general and successive formulation of the trajectory method for solving the Takagi equations in the description of diffraction of a spatially inhomogeneous X-ray wave in ideal and deformed crystals is presented. The trajectories are obtained by variation in the common phase of the transmitted and diffracted waves similarly to classical mechanics. An algorithm of numerical calculation using the trajectory method has been developed and the results of the calculations are reported for the case of diffraction of a spherical wave in an ideal crystal. It is shown that the trajectory method provides high numerical accuracy in description of pendellosung fringes everywhere except for peculiar points, where trajectories approach very close to each other.
- OSTI ID:
- 21090891
- Journal Information:
- Crystallography Reports, Vol. 52, Issue 4; Other Information: DOI: 10.1134/S1063774507040050; Copyright (c) 2007 Nauka/Interperiodica; Article Copyright (c) 2007 Pleiades Publishing, Inc; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7745
- Country of Publication:
- United States
- Language:
- English
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