Tiling models for metadislocations in AlPdMn approximants

Michael Engel (1) , Hans-Rainer Trebin (2)

1 Institut für Theoretische und Angewandte Physik
2 Institut für Theoretische und Angewandte Physik

The AlPdMn quasicrystal approximants ξ, ξ', and ξ'_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.

Mots clés: Physical Sciences

Michael Engel, Hans-Rainer Trebin. Tiling models for metadislocations in AlPdMn approximants. Philosophical Magazine, 2006, 86 (06-08), pp.979-984. ⟨10.1080/14786430500255211⟩. ⟨hal-00513574⟩