Piezoelectricity in quasicrystals: A group-theoretical study

Pramana

P Hemagiri Rao2³  B S K Chaitanya²  K Rama Rao¹ 

[1] Department of Applied Mathematics, Andhra University, Visakapatnam 530 003, India$$;Department of Mathematics, DNR College (P.G. Courses), Bhimavaram 534 202, India$$;Department of Computer Applications, Vasavi College of Engineering, Hyderabad 500 031, India$$

关键词: Quasicrystals;    pentagonal and icosahedral point groups;    piezoelectricity;    non-vanishing and independent tensor coefficients;    irreducible representations;    composition series.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 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.

【 授权许可】

Unknown