纳米微粒多重分数维准晶结构模型: 一种新型的金属纳米材料

陈瀛; 宫斯宁; 龙光芝; 孙学良; 陈敬中

doi:10.3799/dqkx.2011.058

纳米微粒多重分数维准晶结构模型: 一种新型的金属纳米材料

doi: 10.3799/dqkx.2011.058

1.
中国地质大学教育部纳米矿物材料及应用工程研究中心, 湖北武汉 430074
2.
加拿大西安大略学大学机械与材料工程学院, 安大略省伦敦 N6A 5B9

基金项目:

教育部纳米矿物材料及应用工程研究中心开放基金 330-10407402

详细信息

作者简介:
陈瀛(1978-), 博士, 主要研究方向: 晶体化学, 纳米材料与结构.E-mail: chenying7801@yahoo.com.cn

通讯作者:
陈敬中, E-mail: jzhchen@cug.edu.cn

中图分类号: O723;O753
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- 被引次数: 0
出版历程
- 收稿日期: 2010-10-18
- 刊出日期: 2011-05-01

The Multifractal Quasicrystal Structural Model of Nano Particles: A New Type of Metal Nano Material

1.
Engineering Research Center of Nano-Geomaterials of Ministry of Education, China University of Geosciences, Wuhan 430074, China
2.
Department of Mechanical and Materials Engineering, University of Western Ontario, London ON N6A 5B9, Canada

摘要

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.
- 纳米微粒 /
- 多重分数维 /
- 准晶结构模型
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.
- 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

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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

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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

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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

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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

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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

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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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图 8 具有12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12次对称性的准晶胞，再以2.732 1(1.732 1)准周期作放大(缩小)操作，进而作1/12独立区内的Penrose拼图；b.以高次轴12次对称轴旋转操作，生成具有12次对称性多重分数维准晶结构模型

Fig. 8. Structure model of multifractional demension on nano-particles with 12-fold symmetry and its electron diffraction

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