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Averaged shelling for quasicrystals

Baake, Michael; Grimm, Uwe; Joseph, Dieter and Repetowicz, Przemyslaw (2000). Averaged shelling for quasicrystals. Materials Science and Engineering A, 294-296 pp. 441–445.

DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1016/S0921-5093(00)01122-9
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Abstract

The shelling of crystals is concerned with counting the number of atoms on spherical shells of a given radius and a fixed centre. Its straight-forward generalization to quasicrystals, the so-called central shelling, leads to non-universal answers. As one way to cope with this situation, we consider shelling averages over all quasicrystal points. We express the averaged shelling numbers in terms of the autocorrelation coefficients and give explicit results for the usual suspects, both perfect and random.

Item Type: Journal Article
ISSN: 0921-5093
Keywords: crystals; quasicrystals; random tilings; shelling; radial autocorrelation; number theory
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 12315
Depositing User: Uwe Grimm
Date Deposited: 14 Nov 2008 10:57
Last Modified: 02 Dec 2010 20:15
URI: http://oro.open.ac.uk/id/eprint/12315
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