PHENOMENOLOGICAL THEORY OF ICOSAHEDRAL INCOMMENSURATE (QUASIPERIODIC) ORDER IN MN-AL ALLOYS

PHENOMENOLOGICAL THEORY OF ICOSAHEDRAL INCOMMENSURATE (QUASIPERIODIC) ORDER IN MN-AL ALLOYS
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DOI:
10.1103/physrevlett.54.1517
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发表时间:
1985-01-01
影响因子:
8.6
通讯作者:
BAK, P
BAK, P
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
BAK, P

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Shechtman等在Mn-Al合金中观察到的具有二十面体点群对称和长程取向有序的晶体结构可以解释为只有一个长度尺度的多重q密度波结构。它的存在性和稳定性可以用一个简单的朗道理论来理解。衍射点可以用六维(或更多)空间群对称来索引。二十面体不相称结构构成了晶型、棒状和立方晶体结构的自然延伸。
The crystal structure with icosahedral point-group symmetry and long-range orientational order observed by Shechtman et al. in Mn-Al alloys can be explained as a multiple-q density-wave structure with only one length scale. Its existence and stability can be understood from a simple Landau theory. The diffraction spots can be indexed by six-(or more-) dimensional space-group symmetries. Icosahedral incommensurate structures constitute natural extensions of smectic, rodlike, and cubic crystal structures.