DENSE QUASI-PERIODIC DECAGONAL DISC PACKING

被引:19
作者
COCKAYNE, E
机构
[1] Laboratoire de Physique des Solides (associé au CNRS), Bâtiment 510, Université Paris Sud
来源
PHYSICAL REVIEW B | 1995年 / 51卷 / 21期
关键词
D O I
10.1103/PhysRevB.51.14958
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
An inflation rule is given which proves the existence of infinite decagonal rectangle-triangle tilings. Such tilings correspond to the maximum possible density of a decagonal disc packing and can be used to model decagonal quasicrystals. A lower bound 0.0336 per vertex is found for the entropy density of the corresponding random-tiling system. The atomic surfaces for a deterministric version of the packing are self-similar and disconnected. The relationship between rectangle-triangle tilings and real decagonal phases is discussed. It is shown that the large unit cell associated with observed microcrystalline phases has a natural explanation in the context of rectangle-triangle tilings. © 1995 The American Physical Society.
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页码:14958 / 14961
页数:4
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