Rules for computing symmetry, density, and stoichiometry in a quasi-unit-cell model of quasicrystals

Hyeong Chai Jeong, Paul Steinhardt

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

The quasi-unit-cell picture describes the atomic structure of quasicrystals in terms of a single, repeating cluster that overlaps neighbors according to specific overlap rules. In this paper, we discuss the precise relationship between a general atomic decoration in the quasi-unit-cell picture of atomic decorations in the Penrose tiling and in related tiling pictures. Using these relations, we obtain a simple, practical method for determining the density, stoichiometry, and symmetry of a quasicrystal based on the atomic decoration of the quasi-unit-cell taking proper account of the sharing of atoms between clusters.

Original languageEnglish (US)
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume68
Issue number6
DOIs
StatePublished - Aug 1 2003

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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