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Aperiodic crystals and beyond

Grimm, Uwe (2015). Aperiodic crystals and beyond. Acta Crystallographica Section B, 71(3) pp. 258–274.

DOI (Digital Object Identifier) Link: https://doi.org/10.1107/S2052520615008409
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Abstract

Crystals are paradigms of ordered structures. While order was once seen as synonymous with lattice periodic arrangements, the discoveries of incommensurate crystals and quasicrystals led to a more general perception of crystalline order, encompassing both periodic and aperiodic crystals. The current definition of crystals rests on their essentially point-like diffraction. Considering a number of recently investigated toy systems, with particular emphasis on non-crystalline ordered structures, the limits of the current definition are explored.

Item Type: Journal Item
Copyright Holders: 2015 International Union of Crystallography
ISSN: 2052-5206
Keywords: aperiodic crystals; incommensurate structures; crystalline order; pattern theory; mathematical diffraction
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 43313
Depositing User: Uwe Grimm
Date Deposited: 02 Jun 2015 15:32
Last Modified: 07 Dec 2018 10:31
URI: http://oro.open.ac.uk/id/eprint/43313
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