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Two-wave approximation in surface effects in asymmetric Laue crystals.

Authors :
Guida M
Palmisano C
Source :
Acta crystallographica. Section A, Foundations of crystallography [Acta Crystallogr A] 2010 Jul; Vol. 66 (Pt 4), pp. 470-8. Date of Electronic Publication: 2010 May 07.
Publication Year :
2010

Abstract

This paper is a study of surface effects, e.g. roughness or asymmetrical cut, in the Laue diffraction of X-rays by crystals, based on the Takagi-Taupin equations. By means of Riemann-Green integrals, first a formal solution has been obtained when the entrance and the exit surfaces are arbitrary. Then a coordinate transformation mapping a propagation domain with arbitrary boundaries into a rectangular domain with straight boundaries is given. Potential measurement errors in \gamma-ray wavelength and silicon lattice-parameter measurements by double-crystal diffractometry and X-ray interferometry, respectively, are outlined and anticipated by studying, in the two-wave approximation, the reflection peak shift and extra phase originating from an asymmetrically cut crystal. A relationship between analyser displacement, interferometer-signal phase and relative uncertainty in lattice-parameter measurement is also given.

Details

Language :
English
ISSN :
1600-5724
Volume :
66
Issue :
Pt 4
Database :
MEDLINE
Journal :
Acta crystallographica. Section A, Foundations of crystallography
Publication Type :
Academic Journal
Accession number :
20555187
Full Text :
https://doi.org/10.1107/S0108767310011256