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Updated: Aug 15, 2026

Scattering And Absorption of Light in Planetary Regoliths
Published on: July 1, 2019
Anomalous scattering factor determined by semicircle fitting near the K-absorption edge of Ge
Masami Yoshizawa1, Shengming Zhou, Riichirou Negishi
1Saitama Institute of Technology, Fusaiji, Okabe, Saitama 369-0293, Japan. yoshizaw@sit.ac.jp
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.
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