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Kinematic diffraction is insufficient to distinguish order from disorder

Baake, Michael and Grimm, Uwe (2009). Kinematic diffraction is insufficient to distinguish order from disorder. Physical Review B, 79(2), article no. 020203(R).

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Diffraction methods are at the heart of structure determination of solids. While Bragg-type scattering (pure point diffraction) is a characteristic feature of crystals and quasicrystals, it is not straightforward to interpret continuous diffraction intensities, which are generally linked to the presence of disorder. However, based on simple model systems, we demonstrate that it may be impossible to draw conclusions on the degree of order in the system from its diffraction image. In particular, we construct a family of one-dimensional binary systems which cover the entire entropy range but still share the same purely diffuse diffraction spectrum.

Item Type: Journal Article
Copyright Holders: 2009 The American Physical Society
ISSN: 1550-235X
Project Funding Details:
Funded Project NameProject IDFunding Body
Combinatorics of Sequences and Tilings and its ApplicationsEP/D058465/1EPSRC (Engineering and Physical Sciences Research Council)
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Mathematics, Computing and Technology
Item ID: 12900
Depositing User: Uwe Grimm
Date Deposited: 19 Jan 2009 06:31
Last Modified: 24 Jan 2016 09:30
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