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Diffraction patterns of amorphous materials as a series expansion of neighbor distribution functions

Diffraction patterns of amorphous materials as a series expansion of neighbor distribution functions An exact analytical expression for the static structure factor in disordered materials is derived from Fourier transformed neighbor distribution decompositions in real space, and permits to reconstruct the function in an iterative fashion. The result is successfully compared to experimental data of archetypal glasses or amorphous materials (GeS2, As2Se3, GeTe), and links quantitatively knowledge of structural information on short and intermediate -range order with the motifs found on the diffraction patterns in reciprocal space. The approach furthermore reveals that only a limited number of neighbor shells is sufficient to reasonably describe the structure factor for k  >  2 . In the limit of the high momentum transfer, the oscillation characteristics of the interference function are related with new informations on the short-range order of disordered materials. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Physics: Condensed Matter IOP Publishing

Diffraction patterns of amorphous materials as a series expansion of neighbor distribution functions

Journal of Physics: Condensed Matter , Volume 31 (28): 10 – Apr 30, 2019

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References (26)

Copyright
Copyright © 2019 IOP Publishing Ltd
ISSN
0953-8984
eISSN
1361-648X
DOI
10.1088/1361-648X/ab1533
Publisher site
See Article on Publisher Site

Abstract

An exact analytical expression for the static structure factor in disordered materials is derived from Fourier transformed neighbor distribution decompositions in real space, and permits to reconstruct the function in an iterative fashion. The result is successfully compared to experimental data of archetypal glasses or amorphous materials (GeS2, As2Se3, GeTe), and links quantitatively knowledge of structural information on short and intermediate -range order with the motifs found on the diffraction patterns in reciprocal space. The approach furthermore reveals that only a limited number of neighbor shells is sufficient to reasonably describe the structure factor for k  >  2 . In the limit of the high momentum transfer, the oscillation characteristics of the interference function are related with new informations on the short-range order of disordered materials.

Journal

Journal of Physics: Condensed MatterIOP Publishing

Published: Apr 30, 2019

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