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Mathematical diffraction of aperiodic structures

Baake, Michael and Grimm, Uwe (2012). Mathematical diffraction of aperiodic structures. Chemical Society Reviews, 41(20) pp. 6821–6843.

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DOI (Digital Object Identifier) Link: https://doi.org/10.1039/C2CS35120J
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Abstract

Kinematic diffraction is well suited for a mathematical approach via measures, which has substantially been developed since the discovery of quasicrystals. The need for further insight emerged from the question of which distributions of matter, beyond perfect crystals, lead to pure point diffraction, hence to sharp Bragg peaks only. More recently, it has become apparent that one also has to study continuous diffraction in more detail, with a careful analysis of the different types of diffuse scattering involved. In this review, we summarise some key results, with particular emphasis on non-periodic structures. We choose an exposition on the basis of characteristic examples, while we refer to the existing literature for proofs and further details.

Item Type: Journal Article
Copyright Holders: 2012 The Royal Society of Chemistry
ISSN: 1460-4744
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 34392
Depositing User: Uwe Grimm
Date Deposited: 27 Sep 2012 08:24
Last Modified: 30 Nov 2016 11:14
URI: http://oro.open.ac.uk/id/eprint/34392
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