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首页> 外文期刊>Physica, B. Condensed Matter >Structure of the Al-Rh-Cu decagonal quasicrystal: II. A higher-dimensional description
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Structure of the Al-Rh-Cu decagonal quasicrystal: II. A higher-dimensional description

机译：Al-Rh-Cu十边形准晶体的结构：II。高维描述

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摘要

A higher-dimensional description has been applied to the structural model of the Al-Rh-Cu decagonal quasicrystal described in a unit-cell approach in the previous paper (Part I)? which was proposed on the basis of a high-resolution electron microscopic study. The structure of the Al-Rh-Cu decagonal quasicrystal consists of two layers in a period, which are related by 10(5) screw axis. The independent layer is described by two hyper-atoms in the five-dimensional structure. Hyper-atoms of the Al-Rh-Cu DQC are at special positions with the site symmetry 5 m, the acceptance domain of the Al-Rh-Cu decagonal quasicrystal in the internal (perpendicular) space can be viewed as the extensions of those for the Penrose tiling. The geometric and chemical structures of these hyper-atoms are described in detail. A projection of the five-dimensional structure into the external (physical) space generates the ideal quasiperiodic structure of the Al-Rh-Cu decagonal quasicrystal mentioned in the previous paper (Part I).
机译：在上一篇论文（第一部分）中，对以晶胞方式描述的Al-Rh-Cu十边形准晶体的结构模型进行了更高维度的描述。这是在高分辨率电子显微镜研究的基础上提出的。 Al-Rh-Cu十边形准晶体的结构由一个周期中的两层组成，它们与10（5）螺纹轴有关。独立层由五维结构中的两个超原子描述。 Al-Rh-Cu DQC的超原子位于特殊位置，对称性为5 m，内部（垂直）空间中Al-Rh-Cu十边形准晶体的接受域可以看作是这些原子的扩展。彭罗斯瓷砖。详细描述了这些超原子的几何和化学结构。将五维结构投影到外部（物理）空间中会生成上一篇论文（第I部分）中提到的Al-Rh-Cu十方准晶体的理想准周期性结构。

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