Eigenvalue spectra and geometric transformation of polyhedra |
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Authors: | An Yong Li Au Chin Tang |
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Institution: | National Key Laboratory of Theoretical and Computational Chemistry and Institute of Theoretical Chemistry, Jilin University, Changchun, Jilin 130023, People's Republic of China |
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Abstract: | Starting from one fullerene, the three geometric transformations, cap, face dual and edge dual produce series of carbon clusters and deltahedra. The geometric relation between these polyhedra implies that their topological matrices and eigenvalue spectra must be relative. We have developed a matrix algebra method to research some polyhedra with high symmetry and one kind, two or three kinds of equivalent vertices such as C60(Ih), resolve their exact eigenvalues, and proved this point. |
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Keywords: | Polyhedra Fullerene Eigenvalue spectra Geometric transformation |
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