The Multifractal Quasicrystal Structural Model of Nano Particles: A New Type of Metal Nano Material
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摘要: 描述了准晶结构研究状况, 提出了具有5次对称性的准晶结构模型, 包括正二十面体与正十二面体共轭生成的准晶结构模型和Al-Cu-Li共轭生成的大块准晶结构模型; 讨论了二维准晶的基本特征、二维准晶胞选取, 提出了具有8、10、12次对称性的二维准晶结构模型; 探讨了纳米微粒多重分数维结构模型, 分别给出了多重分数维表征值.Abstract: By summarizing the researching situation of Quasicrystals, quintic symmetry Quasicrystal structure model was put forward, including Quasicrystal conjugate structural model of Icosahedra and Dodecahedra, and blocky Quasicrystal conjugate structure model generated by Al-Cu-Li. Also, by discussing basic feature of two-dimensional Quasicrystal and the selecting of two-dimensional Quasicrystal cell, we put forward two-dimensional Quasicrystal model. And then, two-dimensional Quasicrystal model with 8-fold symmetry, 10-fold symmetry, 12-fold symmetry was gotten. At last, structure model of multifractional demension on nano-particles was discussed and the multifractional demension representation value was gotten.
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Key words:
- nano-particles /
- multifractional demension /
- Quasicrystal structure model
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图 1 正二十面体与正十二面体共轭生成的纳米微粒多重分数维准晶结构模型
Fig. 1. Structure model of multifractional demension on nano-particles generated by Quasicrystal conjugate structural model of Icosahedra and Dodecahedra
图 2 二十面体准晶的高分辨电子显微镜像与电子衍射花样(据Hiraga et al., 1988)
Fig. 2. High-resolution electron microscope images and electron diffraction of Icosohedron Quasicrystal
图 3 Al-Cu-Li生成大块准晶的纳米微粒多重分数维准晶结构模型
Fig. 3. Blocky quasicrystal structure model of multifractional demension on nano-particles generated by Al-Cu-Li
图 4 准晶平面格子及有关几何拼图
a.具5(L105)次对称的准晶平面格子；b.具8次对称的准晶平面格子；c.具10次对称的准晶平面格子；d.具12次对称的准晶平面格子；e、f.其他有关几何拼图
Fig. 4. Quasicrystal plane lattice and its related geometrical jigsaw
图 5 具有8次对称性准晶的纳米微粒多重分数维结构模型
a.先作出8次对称性的准晶胞，再以1.414 2(2.414 2)为准周期进行放大(缩小)操作，进一步作出1/8独立区内的Penrose拼图；b.以8次对称轴作旋转操作，可以生成具有8次对称性纳米微粒多重分数维准晶结构模型
Fig. 5. Structure model of multifractional demension on nano-particles with 8-fold symmetry
图 6 具有8次对称准晶的高分辨电子显微镜像及及电子衍射花样
Fig. 6. High-resolution electron microscope images and electron diffraction with 8-fold symmetry Quasicrystal
图 7 具有10次对称性准晶的纳米微粒多重分数维结构模型及电子衍射花样
a.先作出10次对称性的准晶胞，以2.618 0(1.618 0)准周期作放大(缩小)操作，进而作1/10独立区内的Penrose结构拼图；b.再以10次对称轴作旋转操作，生成具有10次对称性纳米微粒多重分数维准晶结构模型
Fig. 7. Structure model of multifractional demension on nano-particles with 10-fold symmetry and its electron diffraction
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