The physical property tensors of one-dimensional quasicrystals
Li Cui-Lian (李翠莲)a, Liu You-Yan (刘有延)b
a Department of Physics, Shanghai Jiaotong University, Shanghai 200240, China; b Department of Physics, South China University of Technology, Guangzhou 510640, China
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.
Received: 10 July 2003
Revised: 18 November 2003
Accepted manuscript online:
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