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- Publisher
- Wiley
- Copyright
- Copyright © 2003 Wiley Subscription Services, Inc., A Wiley Company
- ISSN
- 0108-7673
- eISSN
- 1600-5724
- DOI
- 10.1107/S010876730201704X
- Publisher site
- See Article on Publisher Site
Abstract
An extension of the time‐dependent Takagi–Taupin theory to `optical phonon'‐type distortions is presented. By splitting the susceptibility into the contributions from each atom in a unit cell, modifications to the structure factor as well as lattice parameter are taken into account. The result is a compact, surprisingly simple, equation with a strong formal similarity to the classical Takagi–Taupin equation, with the latter included as a special case. Time dependence is explicitly retained and thus the analysis is applicable to situations where the crystal is modified on time scales comparable with that for the X‐rays to traverse an extinction depth. A comparison is made between the influence of coherent acoustic and optical phonons on the diffraction of X‐rays. Numerical and perturbative analytical solutions of the generalized Takagi–Taupin equation are presented in the presence of such phonons.
Journal
Acta Crystallographica Section A Foundations of Crystallography – Wiley
Published: Jan 1, 2003
Keywords: ; ;