Engel M, Trebin HR (2006)
Publication Language: English
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2006
Publisher: Taylor & Francis: STM, Behavioural Science and Public Health Titles / Taylor & Francis
Book Volume: 86
Pages Range: 979-984
Journal Issue: 6-8
DOI: 10.1080/14786430500255211
The AlPdMn quasicrystal approximants xi, xi', and xi'(n) of the 1.6nm decagonal phase and R, T, and T-n of the 1.2nm 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.
APA:
Engel, M., & Trebin, H.-R. (2006). Tiling models for metadislocations in AlPdMn approximants. Philosophical Magazine, 86(6-8), 979-984. https://doi.org/10.1080/14786430500255211
MLA:
Engel, Michael, and Hans-Rainer Trebin. "Tiling models for metadislocations in AlPdMn approximants." Philosophical Magazine 86.6-8 (2006): 979-984.
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