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Approximate solution of the Takagi-Taupin equations for a semi-infinite crystal in the three-beam Laue-Laue case.

作者信息

Thorkildsen G, Larsen H B, Weckert E

机构信息

Department of Mathematics and Natural Science, Stavanger University College, Ullandhaug, N-4091 Stavanger, Norway.

出版信息

Acta Crystallogr A. 2001 Jul;57(Pt 4):389-94. doi: 10.1107/s0108767301002343. Epub 2001 Jun 21.

Abstract

An analytical approximate solution of the Takagi-Taupin equations for a symmetrical three-beam Laue-Laue case in a perfect non-absorbing semi-infinite crystal slab has been obtained. The expression, a second-order expansion, is valid for situations where the effective crystal thickness does not exceed half the actual extinction length and it is shown to be in perfect agreement with the full numerical solution of the fundamental equations.

摘要

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