| 一种理想准晶格的数学模型 |
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| 引用本文： | 闵乐泉,李藙.一种理想准晶格的数学模型[J].北京科技大学学报,1988(3). |
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| 作者姓名： | 闵乐泉 李藙 |
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| 作者单位： | 北京钢铁学院数学第二教研室
(闵乐泉)，北京钢铁学院数学第一教研室(李藙) |
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| 摘 要： | 本文提出了一种理想准晶格的数学模型,它的平面投影图中,平行的水平直线上结点服从Fibonacci排列;而每个分离的呈环状结点的中心都是局部5次对称中心;两个相叠(相分离)的环状结点外层均布着14(16)个结点,很圆满地描述了Hiraga等人的锰—铝准晶体高分辨图。
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| 关 键 词： | 结构模型 锰合金 准晶格 |
Mathematical Model for Structure of Ideal Quasicrystal Lattices |
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| Min Lequan,Li Yi.Mathematical Model for Structure of Ideal Quasicrystal Lattices[J].Journal of University of Science and Technology Beijing,1988(3). |
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| Authors: | Min Lequan Li Yi |
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| Abstract: | In this paper, a mathematical model for structure of ideal quasicrystal lattices is set up. This Model describes very beautifully the following phenomena which is shown in the electron micrograph of the Mn-Al quasicrystal obtained by Hiraga et al. In some local areas, ten bright dots groups are distributed in concentric circles; sixteen bright dots are distributed the surroundings of every two neighbourhood righs of bright dots; and fourteen bright dots arc distributed the surroundings of every double overlapping rings of bright dots. Therefore, it seems that this model can explain more phenomena in Mn-Al alloy quasicrystal than those reported by Hiraga et al, and could offer some new ideas for the theoretical research of structure of quasicrystal. |
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| Keywords: | structural model manganese alloys quasicrystal lattices |
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