Sphere packings and local environments in Penrose tilings
- 15 July 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 34 (2) , 797-816
- https://doi.org/10.1103/physrevb.34.797
Abstract
Packings of spheres placed on vertices of two- or three-dimensional Penrose tilings arise in various models of glassy or ‘‘quasicrystal’’ metals. Such packings are described, with particular attention to the packing fractions and coordination numbers: In particular, one of the three-dimensional packings attains a packing fraction close to that of random close packing. The frequencies of various local environments are also enumerated. Relations between the tiling and density-wave pictures of icosahedral structures are clarified.Keywords
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