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在准晶体结构中,配位二十面体作长程定向有序,但没有平移有序。作者探讨了准晶体的构筑原理。认为在准晶体中有两个原理在起作用,即二十面体原理和黄金中值原理。运用这两个原理可获得最简单的准晶体结构模型,并可用来解释Al-Mn合金准晶体的高分辨图。这一模型具分数维结构特征,故称分数维结构模型。作者进一步认识到所推导出的准晶体结构模型实际上是一种准晶格,由此系统地推导了准晶体的点群、单形及准晶格的可能类型。
In quasi-crystal structure, coordination icosahedral long-range oriented order, but not translational and orderly. The author discusses the principle of quasi-crystal construction. It is considered that two principles work in quasicrystals, namely the icosahedron principle and the gold median principle. The simplest quasicrystal structure model can be obtained by applying these two principles and can be used to explain the high resolution of Al-Mn alloy quasicrystal. This model has fractal structural features, so called fractal structure model. The authors further recognize that the quasi-crystal structure model derived is actually a quasi-lattice, thereby systematically deducing the possible types of quasicrystal point groups, simplex and quasi-lattices.