TY - JOUR
T1 - Penrose tilings, cluster models and the quasi-unit cell picture
AU - Steinhardt, Paul J.
N1 - Funding Information:
This work summarizes work done in collaboration with H.-C. Jeong and with A.-P. Tsai, K. Saitoh, E. Abe, and H. Takura. This work was supported in part by the US Department of Energy grant DE-FG02-91ER40671, Princeton, NJ.
PY - 2000/12/15
Y1 - 2000/12/15
N2 - The quasi-unit cell picture proposes that quasicrystals can be decomposed into a single, repeating cluster of atoms with overlap (atom-sharing) rules between neighbors that force a perfect quasiperiodic structure. In this paper, we introduce the basic features of the model and how it differs from the earlier Penrose tiling and cluster models. We also report on recent advancements in applying the model to determine the structure of the decagonal phase, Al72Ni20Co8, including new evidence supporting the quasi-unit cell picture based on clusters with broken 10-fold symmetry in favor of models based on unbroken symmetry.
AB - The quasi-unit cell picture proposes that quasicrystals can be decomposed into a single, repeating cluster of atoms with overlap (atom-sharing) rules between neighbors that force a perfect quasiperiodic structure. In this paper, we introduce the basic features of the model and how it differs from the earlier Penrose tiling and cluster models. We also report on recent advancements in applying the model to determine the structure of the decagonal phase, Al72Ni20Co8, including new evidence supporting the quasi-unit cell picture based on clusters with broken 10-fold symmetry in favor of models based on unbroken symmetry.
UR - http://www.scopus.com/inward/record.url?scp=4243431170&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=4243431170&partnerID=8YFLogxK
U2 - 10.1016/S0921-5093(00)01194-1
DO - 10.1016/S0921-5093(00)01194-1
M3 - Article
AN - SCOPUS:4243431170
SN - 0921-5093
VL - 294-296
SP - 205
EP - 210
JO - Materials Science & Engineering A: Structural Materials: Properties, Microstructure and Processing
JF - Materials Science & Engineering A: Structural Materials: Properties, Microstructure and Processing
ER -