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
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.
UR - http://www.scopus.com/inward/record.url?scp=17544405002&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=17544405002&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.68.064102
DO - 10.1103/PhysRevB.68.064102
M3 - Article
AN - SCOPUS:17544405002
SN - 1098-0121
VL - 68
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 6
ER -