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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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Intensities of plane waves in the reflection geometry

Intensities of plane waves in the reflection geometry

(p.173) 7 Intensities of plane waves in the reflection geometry
Dynamical Theory of X-Ray Diffraction


Oxford University Press

This chapter calculates the reflected intensity for the reflection, or Bragg, geometry and an incident plane wave. Both the cases of very thick and thin crystals are considered. In each case the boundary conditions are given, the reflectivity and the integrated intensity are determined for absorbing crystals. The shape of the rocking curves is discussed as a function of the absorption coefficient and the ratio between the real and imaginary parts of the index of refraction. The standing wave pattern formed at the surface of the crystal due to the interference of the incident and reflected waves is calculated.

Keywords:   reflection geometry, Bragg geometry, reflectivity, rocking curves, integrated intensity, standing wave pattern

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