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Baake, Michael; Grimm, Uwe; Joseph, Dieter and Repetowicz, Przemyslaw
(2000).
DOI: https://doi.org/10.1016/S0921-5093(00)01122-9
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.
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About
- Item ORO ID
- 12315
- Item Type
- Journal Item
- ISSN
- 0921-5093
- Keywords
- crystals; quasicrystals; random tilings; shelling; radial autocorrelation; number theory
- Academic Unit or School
-
Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM) - Depositing User
- Uwe Grimm