Baake, Michael; Grimm, Uwe; Joseph, Dieter and Repetowicz, Przemyslaw
(2000).
| DOI (Digital Object Identifier) Link: | https://doi.org/10.1016/S0921-5093(00)01122-9 |
|---|---|
| Google Scholar: | Look up in Google Scholar |
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: | Article |
|---|---|
| ISSN: | 0921-5093 |
| Keywords: | crystals; quasicrystals; random tilings; shelling; radial autocorrelation; number theory |
| Academic Unit/School: | Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics Faculty of Science, Technology, Engineering and Mathematics (STEM) |
| Item ID: | 12315 |
| Depositing User: | Uwe Grimm |
| Date Deposited: | 14 Nov 2008 10:57 |
| Last Modified: | 29 Nov 2016 17:17 |
| URI: | http://oro.open.ac.uk/id/eprint/12315 |
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