Dodecagonal spherical quasicrystals
Dodecagonal spherical quasicrystals
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十二角形球形准晶体
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
S. Rochal
中科院分区：
文献类型：
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作者：
I. A. Shevchenko;O. Konevtsova;S. Rochal
我们认为，二维十二边形球面拟球（QC）将被发现在不久的将来，并调查如何平面QC秩序变得兼容的球面几何。我们发现，曲率引起的拓扑缺陷和低能量的结构重排的外观是足够的，以获得规则的球形QC结构。为了重建所需的总能量的最小化决定了拓扑缺陷的数量，这些拓扑缺陷位于依赖于初始十二边形顺序的类型的snub cub或二十面体的顶点附近。
We argue that 2D dodecagonal spherical quasicrystalls (QCs) will be discovered in the nearest future and investigate how the planar QC order becomes compatible with the spherical geometry. We show that the appearance of curvature-induced topological defects and low-energy structural rearrangements are sufficient to obtain the regular spherical QC structures. Minimization of total energy required for the order reconstruction determines the number of topological defects, which are located near the vertices of snub cub or icosahedron in dependence on type of the initial dodecagonal order.