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The Model for Icosahedral Al-Pd-Mn phase based on the T*(2F) Canonical Tiling

Published online by Cambridge University Press:  17 March 2011

Gerald Kasner  and
Zorka Paradopolos
Gerald Kasner
Affiliation:
Institut für Theorestische Physik der Otto-von-Guericke Universitätsplatz 2, PF 4120, 39016 Magdeburg, Germany
Zorka Paradopolos
Affiliation:
Institut für Theorestische Physik der Otto-von-Guericke Universitätsplatz 2, PF 4120, 39016 Magdeburg, Germany
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Abstract

The icosahedral canonical tiling of the three-dimensional space by six golden tetahedra T*(2F) [1] is decorated for physical applications by the Bergman polytopes [2]. The model can be also formulated as the “primitive) tiling TP [3] decorated by alternating Bergman symmetry axis of and icosahedron, there appear the plans on three mutual distances following the rule of a decorated Fibonacci sequence. All these three distances among the terraces (mutually scaled by a factor τ) have been recently observed by shen et al. [5]. In particular they have measured also the shortest distance of 2.52Å that breaks the Fibonnaci-sequence of terrace like surfaces measured previously by schaub et al. [6]. We predict the frequencies for the appearance of the terraces of different heights in the model under the condition that the model of Boudard et al. [7.8], we decorate the atomic positions by Al, Pd and Mn. We present images of the predicted possible terrace-like surfaces on three possible distances in the fully decorated model by the atomic species.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 643: Symposium K – Quasicrystals-Preparation, Properties, and Applications , 2000 , K9.7
Copyright
Copyright © Materials Research Society 2001

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References

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