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Theory of the Laue Diffraction of X Rays in a Thick Single Crystal with an Inclined Step on the Exit Surface. II: Analytical Solution

Theory of the Laue Diffraction of X Rays in a Thick Single Crystal with an Inclined Step on the... The analytical solution of the problem of the Laue diffraction of an X-ray spherical wave in a single crystal with an inclined step on the exit surface has been obtained. The general equations are used for the specific case of plane wave diffraction in a thick crystal under the Borrmann conditions. It is shown that, provided that the crystal thickness increases from the side of the reflected beam, the reflected-wave relative amplitude is determined by three complex terms. This may formally lead to interference and an increase in the intensity in maxima by a factor of 9 as compared with the crystal without a step. The equation for the transmitted beam contains only two terms, and the corresponding increase in intensity cannot be by more than a factor of 4. The results of analytical calculations coincide with the results obtained by numerical methods and presented in the first part of the work. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Crystallography Reports Springer Journals

Theory of the Laue Diffraction of X Rays in a Thick Single Crystal with an Inclined Step on the Exit Surface. II: Analytical Solution

Crystallography Reports , Volume 65 (4) – Jul 28, 2020

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References (11)

Publisher
Springer Journals
Copyright
Copyright © Pleiades Publishing, Inc. 2020
ISSN
1063-7745
eISSN
1562-689X
DOI
10.1134/S1063774520040124
Publisher site
See Article on Publisher Site

Abstract

The analytical solution of the problem of the Laue diffraction of an X-ray spherical wave in a single crystal with an inclined step on the exit surface has been obtained. The general equations are used for the specific case of plane wave diffraction in a thick crystal under the Borrmann conditions. It is shown that, provided that the crystal thickness increases from the side of the reflected beam, the reflected-wave relative amplitude is determined by three complex terms. This may formally lead to interference and an increase in the intensity in maxima by a factor of 9 as compared with the crystal without a step. The equation for the transmitted beam contains only two terms, and the corresponding increase in intensity cannot be by more than a factor of 4. The results of analytical calculations coincide with the results obtained by numerical methods and presented in the first part of the work.

Journal

Crystallography ReportsSpringer Journals

Published: Jul 28, 2020

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