关于禁对称、准晶体和彭罗斯镶嵌的新视角。
New perspectives on forbidden symmetries, quasicrystals, and Penrose tilings.
作者信息
Steinhardt P J
机构信息
Department of Physics and Astronomy, University of Pennsylvania, Philadelphia 19104, USA.
出版信息
Proc Natl Acad Sci U S A. 1996 Dec 10;93(25):14267-70. doi: 10.1073/pnas.93.25.14267.
Quasicrystals are solids with quasiperiodic atomic structures and symmetries forbidden to ordinary periodic crystals-e.g., 5-fold symmetry axes. A powerful model for understanding their structure and properties has been the two-dimensional Penrose tiling. Recently discovered properties of Penrose tilings suggest a simple picture of the structure of quasicrystals and shed new light on why they form. The results show that quasicrystals can be constructed from a single repeating cluster of atoms and that the rigid matching rules of Penrose tilings can be replaced by more physically plausible cluster energetics. The new concepts make the conditions for forming quasicrystals appear to be closely related to the conditions for forming periodic crystals.
准晶体是具有准周期性原子结构和对称性的固体，而这些对称性是普通周期性晶体所不具备的，例如五重对称轴。用于理解其结构和性质的一个强大模型是二维彭罗斯镶嵌。最近发现的彭罗斯镶嵌的性质为理解准晶体的结构提供了一个简单的图景，并为它们的形成原因带来了新的启示。结果表明，准晶体可以由单个重复的原子簇构建而成，并且彭罗斯镶嵌的刚性匹配规则可以被更符合物理实际的簇能量学所取代。这些新概念使得准晶体的形成条件似乎与周期性晶体的形成条件密切相关。
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