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Temperature‐ and energy‐dependent phase shifts of resonant multiple‐beam X‐ray diffraction in germanium crystals

Temperature‐ and energy‐dependent phase shifts of resonant multiple‐beam X‐ray diffraction in... This paper reports temperature‐ and energy‐dependent phase shifts of resonant multiple‐beam X‐ray diffraction in germanium crystals, involving forbidden (002) and weak (222) reflections. Phase determination based on multiple‐beam diffraction is employed to estimate phase shifts from (002)‐based four‐beam cases and (222)‐based three‐beam cases in the vicinity of the Ge K edge for temperatures from 20 K up to 300 K. The forbidden/weak reflections enhance the sensitivity of measuring phases at resonance. At room temperature, the resonance triplet phases reach a maximum of 8° for the four‐beam cases and −19° for the three‐beam cases. It is found that the peak intensities and triplet phases obtained from the (002) four‐beam diffraction are related to thermal motion induced anisotropy and anomalous dispersion, while the (222) three‐beam diffraction depends on the aspherical covalent electron distribution and anomalous dispersion. However, the electron–phonon interaction usually affects the forbidden reflections with increasing temperatures and seems to have less effect on the resonance triplet phase shifts measured from the (002) four‐beam diffraction. The resonance triplet phase shifts of the (222) three‐beam diffraction versus temperature are also small. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Crystallographica Section A Foundations of Crystallography Wiley

Temperature‐ and energy‐dependent phase shifts of resonant multiple‐beam X‐ray diffraction in germanium crystals

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References (23)

Publisher
Wiley
Copyright
Copyright © 2015 Wiley Subscription Services, Inc., A Wiley Company
ISSN
0108-7673
eISSN
1600-5724
DOI
10.1107/S2053273315009006
pmid
26131901
Publisher site
See Article on Publisher Site

Abstract

This paper reports temperature‐ and energy‐dependent phase shifts of resonant multiple‐beam X‐ray diffraction in germanium crystals, involving forbidden (002) and weak (222) reflections. Phase determination based on multiple‐beam diffraction is employed to estimate phase shifts from (002)‐based four‐beam cases and (222)‐based three‐beam cases in the vicinity of the Ge K edge for temperatures from 20 K up to 300 K. The forbidden/weak reflections enhance the sensitivity of measuring phases at resonance. At room temperature, the resonance triplet phases reach a maximum of 8° for the four‐beam cases and −19° for the three‐beam cases. It is found that the peak intensities and triplet phases obtained from the (002) four‐beam diffraction are related to thermal motion induced anisotropy and anomalous dispersion, while the (222) three‐beam diffraction depends on the aspherical covalent electron distribution and anomalous dispersion. However, the electron–phonon interaction usually affects the forbidden reflections with increasing temperatures and seems to have less effect on the resonance triplet phase shifts measured from the (002) four‐beam diffraction. The resonance triplet phase shifts of the (222) three‐beam diffraction versus temperature are also small.

Journal

Acta Crystallographica Section A Foundations of CrystallographyWiley

Published: Jul 1, 2015

Keywords: ; ; ; ;

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