Multiple wave scattering on a bordered crystal. Translation symmetry breaking and forbidden reflections

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Authors

DUB P. LITZMAN Otto

Year of publication 2012
Type Article in Periodical
Magazine / Source ACTA CRYSTALLOGRAPHICA SECTION A
MU Faculty or unit

Faculty of Science

Citation
Web https://journals.iucr.org/a/issues/2012/04/00/td5006/
Doi http://dx.doi.org/10.1107/S0108767312014705
Keywords dynamical diffraction theory; forbidden reflections
Description The interaction of a scalar wave (thermal neutrons) with a single Si crystal is treated using Ewald's self-consistent field method. Considering from the very beginning the two-dimensional translation symmetry of the problem, the reflectivities of allowed and forbidden reflections in the Bragg geometry valid for both coplanar and non-coplanar cases are derived. It is shown that there exists a very narrow reflectivity peak of the forbidden reflection as a result of the symmetry breaking due to a crystal surface.
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