TY - JOUR
T1 - Rules for computing symmetry, density, and stoichiometry in a quasi-unit-cell model of quasicrystals
AU - Jeong, Hyeong Chai
AU - Steinhardt, Paul
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2003/8/1
Y1 - 2003/8/1
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevB.68.064102
DO - 10.1103/PhysRevB.68.064102
M3 - Article
AN - SCOPUS:17544405002
VL - 68
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
SN - 1098-0121
IS - 6
ER -