Tiling models for metadislocations in AlPdMn approximants
- 21 February 2006
- journal article
- research article
- Published by Taylor & Francis Ltd in Philosophical Magazine
- Vol. 86 (6-8), 979-984
- https://doi.org/10.1080/14786430500255211
Abstract
The AlPdMn quasicrystal approximants ξ, ξ′, and ξ′ n of the 1.6 nm decagonal phase and R, T, and Tn of the 1.2 nm decagonal phase can be viewed as arrangements of cluster columns on two-dimensional tilings. We substitute the tiles by Penrose rhombs and show that alternative tilings can be constructed by a simple cut and projection formalism in three-dimensional hyperspace. It follows that in the approximants there is a phasonic degree of freedom, whose excitation results in the reshuffling of the clusters. We apply the tiling model for metadislocations, which are special textures of partial dislocations.Keywords
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