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Allowable irreducible representations of the point groups with five-fold rotational axes |
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| Authors: | RAMA MOHANA RAO K SIMHACHALAM B HEMAGIRI RAO P |
| Affiliation: | 1. MCA Department, Kaushik College of Engineering, Visakhapatnam, 531 163, India 2. Department of Mathematics, GITAM University, Visakhapatnam, 530 045, India 3. MCA Department, Vasavi College of Engineering, Hyderabad, 500 031, India |
| Abstract: | Allowable irreducible representations of the point groups with five-fold rotations – that represent the symmetry of the quasicrystals in two and three dimensions – are derived by employing the little group technique in conjunction with the solvability property. The point groups D $_{5h} ({overline {10} {text{{emph m}}}2})$ and ${text{{emph I}}}_h (frac{2}{text{{emph m}}}overline 3 ,overline 5)$ are taken to illustrate the method. |
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