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Dynamical Theory of X-Ray Diffraction$
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André Authier

Print publication date: 2003

Print ISBN-13: 9780198528920

Published to Oxford Scholarship Online: January 2010

DOI: 10.1093/acprof:oso/9780198528920.001.0001

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Dynamical diffraction in highly asymmetric coplanar and non-coplanar geometries

Dynamical diffraction in highly asymmetric coplanar and non-coplanar geometries

Chapter:
(p.189) 8 Dynamical diffraction in highly asymmetric coplanar and non-coplanar geometries
Source:
Dynamical Theory of X-Ray Diffraction
Author(s):

ANDRÉ AUTHIER

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198528920.003.0008

The first part of this chapter is devoted to the derivation of the generalized dispersion equation in highly asymmetric coplanar geometries (grazing incidence or grazing emergence). The deviation from Bragg's angle of the middle of the reflection domain and the Darwin width are calculated and the generalized equation of the dispersion surface is given. The specularly and Bragg reflected intensities are then derived. The case of non-coplanar geometries is considered in the last section of the chapter and a three-dimensional representation of the dispersion surface introduced. The chapter shows how the tiepoints are obtained and the expressions of the reflected amplitudes are given.

Keywords:   grazing incidence, grazing emergence, coplanar geometry, non-coplanar geometry, Darwin width, dispersion surface, Bragg's angle

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