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Deformed model sets and distorted Penrose tilings

Sing, Bernd; Welberry, Thomas

Description

In this article, we show how the mathematical concept of a deformed model set can be used to gain in-sight into the diffraction pattern of quasicrystalline structures. We explain what a deformed model set is, what its characteristic features are and how it relates to certain disorder phenomena in solids. We then apply this concept to distorted Penrose tilings, i.e., Penrose tilings where we apply size-effect-like distortions. While the size effect in crystals only operates on the diffuse...[Show more]

CollectionsANU Research Publications
Date published: 2006
Type: Journal article
URI: http://hdl.handle.net/1885/85091
Source: Zeitschrift fur Kristallographie
DOI: 10.1524/zkri.2006.221.9.621

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