中国物理B ›› 2004, Vol. 13 ›› Issue (6): 924-931.doi: 10.1088/1009-1963/13/6/024

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇    下一篇

The physical property tensors of one-dimensional quasicrystals

李翠莲1, 刘有延2   

  1. (1)Department of Physics, Shanghai Jiaotong University, Shanghai 200240, China; (2)Department of Physics, South China University of Technology, Guangzhou 510640, China
  • 收稿日期:2003-07-10 修回日期:2003-11-18 出版日期:2005-07-05 发布日期:2005-07-05
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 19874021).

The physical property tensors of one-dimensional quasicrystals

Li Cui-Lian (李翠莲)a, Liu You-Yan (刘有延)b   

  1. a Department of Physics, Shanghai Jiaotong University, Shanghai 200240, China; b Department of Physics, South China University of Technology, Guangzhou 510640, China
  • Received:2003-07-10 Revised:2003-11-18 Online:2005-07-05 Published:2005-07-05
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 19874021).

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摘要： According to the group representation theory, we derive the character formulae of representation-matrices of the physical property tensors for the one-dimensional (1D) quasicrystals. Based on this, we have calculated the numbers of independent components of representation-matrices for thermal expansion coefficient tensors, piezoelectric coefficient tensors and elastic constant tensors under 31 point-groups for the 1D quasicrystals. Moreover, we have deduced the particular matrix forms of these tensors under the 31 point-groups. This is an important complement of quasicrystal physical property.

Abstract: According to the group representation theory, we derive the character formulae of representation-matrices of the physical property tensors for the one-dimensional (1D) quasicrystals. Based on this, we have calculated the numbers of independent components of representation-matrices for thermal expansion coefficient tensors, piezoelectric coefficient tensors and elastic constant tensors under 31 point-groups for the 1D quasicrystals. Moreover, we have deduced the particular matrix forms of these tensors under the 31 point-groups. This is an important complement of quasicrystal physical property.

Key words: quasicrystal, thermal expansion coefficient, piezoelectric coefficient

中图分类号:  (Quasicrystals)

  • 61.44.Br
77.65.Bn (Piezoelectric and electrostrictive constants) 65.40.De (Thermal expansion; thermomechanical effects) 02.10.Yn (Matrix theory) 02.20.-a (Group theory) 02.10.Ud (Linear algebra)