Piezoelectricity in quasicrystals: A group-theoretical study

被引：0
作者：
K Rama Mohana Rao
P Hemagiri Rao
B S K Chaitanya
机构：
[1] Andhra University,Department of Applied Mathematics
[2] Vasavi College of Engineering,Department of Computer Applications
[3] DNR College (P.G. Courses),Department of Mathematics
来源：
Pramana | 2007年 / 68卷
关键词：
Quasicrystals; pentagonal and icosahedral point groups; piezoelectricity; non-vanishing and independent tensor coefficients; irreducible representations; composition series; 62.40+i; 77.60+v;
D O I：
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学科分类号：
摘要：
Group-theoretical methods have been accepted as exact and reliable tools in studying the physical properties of crystals and quasicrystalline materials. By group representation theory, the maximum number of non-vanishing and independent second-order piezoelectric coefficients required by the seven pentagonal and two icosahedral point groups — that describe the quasicrystal symmetry groups in two and three dimensions — is determined. The schemes of non-vanishing and independent second-order piezoelectric tensor components needed by the nine point groups with five-fold rotations are identified and tabulated employing a compact notation. The results of this group-theoretical study are briefly discussed.
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页码：481 / 487
页数：6
相关论文
共 55 条
[1]  
Dubost B.(1986)undefined Nature (London) 324 48-undefined
[2]  
Long J. M.(1990)undefined Mat. Trans. JIM 31 98-undefined
[3]  
Tanaka M.(1987)undefined Jpn. J. Appl. Phys. 26 L1505-undefined
[4]  
Sainfort P.(1993)undefined J. Phys. Condens Matter 5 663-undefined
[5]  
Audia M.(1985)undefined Phys. Rev. B32 5764-undefined
[6]  
Tsai A. P.(1985)undefined Phys. Rev. Lett. 54 405-undefined
[7]  
Inove A.(1988)undefined Ind. J. Phys. 62 900-undefined
[8]  
Masumoto T.(1993)undefined J. Non-Cryst. Solids 156 865-undefined
[9]  
Tsai A. P.(1988)undefined Ind. J. Pure and Appl. Phys. 26 60-undefined
[10]  
Inove A.(1988)undefined Croat. Chem. Acta 61 267-undefined
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