Abstract
By using the technique of topological symmetry the characteristic polynomials of highly symmetrical π-electron carbon networks of regular and semi-regular polyhedra were factored out, and their stability on MO basis was analyzed and discussed. Besides the soccer ball-shaped C60 fullerene, a π-electron system of truncated octahedron-shaped C24 was suggested to be a candidate for a stable spherical carbon network. Mathematical basis and explanation for the high stability of these two substances among other polyhedral carbon networks with highly degenerate molecular orbitals were obtained.
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Hosoya, H. (2011). High π-Electronic Stability of Soccer Ball Fullerene C60 and Truncated Octahedron C24 Among Spherically Polyhedral Networks. In: Cataldo, F., Graovac, A., Ori, O. (eds) The Mathematics and Topology of Fullerenes. Carbon Materials: Chemistry and Physics, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0221-9_13
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DOI: https://doi.org/10.1007/978-94-007-0221-9_13
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