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Multiple Bragg reflection by a thick mosaic crystal

Multiple Bragg reflection by a thick mosaic crystal Symmetric Bragg‐case reflections from a thick, ideally imperfect, crystal slab are studied mostly by analytical means. The scattering transfer function of a thin mosaic layer is derived and brought into a form that allows for analytical approximations or easy quadrature. The Darwin–Hamilton equations are generalized, lifting the restriction of wavevectors to a two‐dimensional scattering plane. A multireflection expansion shows that wavevector diffusion can be studied independently of the real‐space coordinate. Combining analytical arguments and Monte Carlo simulations, multiple Bragg reflections are found to result in a minor correction of the reflected intensity, a moderate broadening of the reflected azimuth angle distribution, a considerable modification of the polar angle distribution, and a noticeable shift and distortion of rocking curves. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Crystallographica Section A Foundations of Crystallography Wiley

Multiple Bragg reflection by a thick mosaic crystal

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References (21)

Publisher
Wiley
Copyright
Copyright © 2014 Wiley Subscription Services, Inc., A Wiley Company
ISSN
0108-7673
eISSN
1600-5724
DOI
10.1107/S205327331400802X
pmid
25176991
Publisher site
See Article on Publisher Site

Abstract

Symmetric Bragg‐case reflections from a thick, ideally imperfect, crystal slab are studied mostly by analytical means. The scattering transfer function of a thin mosaic layer is derived and brought into a form that allows for analytical approximations or easy quadrature. The Darwin–Hamilton equations are generalized, lifting the restriction of wavevectors to a two‐dimensional scattering plane. A multireflection expansion shows that wavevector diffusion can be studied independently of the real‐space coordinate. Combining analytical arguments and Monte Carlo simulations, multiple Bragg reflections are found to result in a minor correction of the reflected intensity, a moderate broadening of the reflected azimuth angle distribution, a considerable modification of the polar angle distribution, and a noticeable shift and distortion of rocking curves.

Journal

Acta Crystallographica Section A Foundations of CrystallographyWiley

Published: Sep 1, 2014

Keywords: ;

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