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Anomalous scattering factor determined by semicircle fitting near the K‐absorption edge of Ge

Anomalous scattering factor determined by semicircle fitting near the K‐absorption edge of Ge It is shown that the locus of the f′ + if′′ plot in the complex plane, f′ being determined from measured f′′ by using the dispersion relation, looks like a semicircle very near the absorption edge of Ge. The semicircular locus is derived from a quantum theory of X‐ray resonant scattering when there is a sharp isolated peak in f′′ just above the K‐absorption edge. Using the semicircular behavior, an approach is proposed to determine the anomalous scattering factors in a crystal by fitting known calculated values based on an isolated‐atom model to a semicircular focus. The determined anomalous scattering factors f′ show excellent agreement with the measured values just below the absorption edge. In addition, the phase determination of a crystal structure factor has been considered by using the semicircular behavior. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Crystallographica Section A Foundations of Crystallography Wiley

Anomalous scattering factor determined by semicircle fitting near the K‐absorption edge of Ge

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References (10)

Publisher
Wiley
Copyright
Copyright © 2005 Wiley Subscription Services, Inc., A Wiley Company
ISSN
0108-7673
eISSN
1600-5724
DOI
10.1107/S0108767305026917
pmid
16244404
Publisher site
See Article on Publisher Site

Abstract

It is shown that the locus of the f′ + if′′ plot in the complex plane, f′ being determined from measured f′′ by using the dispersion relation, looks like a semicircle very near the absorption edge of Ge. The semicircular locus is derived from a quantum theory of X‐ray resonant scattering when there is a sharp isolated peak in f′′ just above the K‐absorption edge. Using the semicircular behavior, an approach is proposed to determine the anomalous scattering factors in a crystal by fitting known calculated values based on an isolated‐atom model to a semicircular focus. The determined anomalous scattering factors f′ show excellent agreement with the measured values just below the absorption edge. In addition, the phase determination of a crystal structure factor has been considered by using the semicircular behavior.

Journal

Acta Crystallographica Section A Foundations of CrystallographyWiley

Published: Nov 1, 2005

Keywords: ; ;

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