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Volume 10 Issue 3
Nov.  2021
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Article Contents
Min Lequan, Li Yi. Mathematical Model for Structure of Ideal Quasicrystal Lattices[J]. Chinese Journal of Engineering, 1988, 10(3): 391-399. doi: 10.13374/j.issn1001-053x.1988.03.020
Citation: Min Lequan, Li Yi. Mathematical Model for Structure of Ideal Quasicrystal Lattices[J]. Chinese Journal of Engineering, 1988, 10(3): 391-399. doi: 10.13374/j.issn1001-053x.1988.03.020

Mathematical Model for Structure of Ideal Quasicrystal Lattices

doi: 10.13374/j.issn1001-053x.1988.03.020
  • Received Date: 1987-05-20
    Available Online: 2021-11-15
  • 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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      沈陽化工大學材料科學與工程學院 沈陽 110142

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