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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

  • DIFFRACTION AND SCATTERING OF IONIZING RADIATIONS
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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.

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Correspondence to I. A. Smirnova.

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Translated by Yu. Sin’kov

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Kohn, V.G., Smirnova, I.A. Theory of the Laue Diffraction of X Rays in a Thick Single Crystal with an Inclined Step on the Exit Surface. II: Analytical Solution. Crystallogr. Rep. 65, 515–520 (2020). https://doi.org/10.1134/S1063774520040124

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  • DOI: https://doi.org/10.1134/S1063774520040124

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