Covering cluster description of octagonal MnSiAl quasicrystals

Shelomo I. Ben-Abraham, Franz Gähler

Research output: Contribution to journalArticlepeer-review

39 Scopus citations

Abstract

A likely mechanism for the formation of quasicrystals is by maximally covering space with overlapping, stable atomic clusters. This notion is here applied to the experimentally determined layered structure of octagonal MnSiAl quasicrystals, which can be described in terms of a decoration of the octagonal Ammann-Beenker tiling. This decoration is abstractly represented by a two-color version of the tiling. The covering cluster of the quasicrystal corresponds to an octagonal covering patch of the colored tiling. This covering patch appears in two variants with complementary colors. The three-dimensional quasicrystal has a centered octagonal translation module, and its space group is I84/mcm.

Original languageEnglish
Pages (from-to)860-864
Number of pages5
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume60
Issue number2
DOIs
StatePublished - 1 Jan 1999

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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