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Piezoelectricity in quasicrystals: A group-theoretical study |
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| Authors: | K Rama Mohana Rao P Hemagiri Rao B S K Chaitanya |
| Institution: | (1) Department of Applied Mathematics, Andhra University, Visakapatnam, 530 003, India;(2) Department of Computer Applications, Vasavi College of Engineering, Hyderabad, 500 031, India;(3) Department of Mathematics, DNR College (P.G. Courses), Bhimavaram, 534 202, India |
| Abstract: | 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. |
| Keywords: | Quasicrystals pentagonal and icosahedral point groups piezoelectricity non-vanishing and independent tensor coefficients irreducible representations composition series |
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