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arXiv · 0704.1440

Tiling models for metadislocations in AlPdMn approximants

Michael Engel·Hans-Rainer Trebin
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Abstract

The AlPdMn quasicrystal approximants xi, xi', and xi'_n of the 1.6 nm decagonal phase and R, T, and T_n 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.

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Michael Engel, Hans-Rainer Trebin. 2007-04-11. Tiling models for metadislocations in AlPdMn approximants. https://doi.org/10.1080/14786430500255211

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