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Erschienen in:
2018 | OriginalPaper | Buchkapitel
6. Large Icosahedral Clusters
verfasst von : Mircea Vasile Diudea
Erschienen in: Multi-shell Polyhedral Clusters
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Abstract
Large multi-shell clusters, of icosahedral symmetry, are derived, by operations on maps, from seeds like Bergman’s C45 and a larger C125 clusters. The most used operations were medial and truncation, eventually followed by dualization. The clusters were characterized by figure count while their topological symmetry was described in terms of ring signature and centrality index. Clusters composed of dodecahedral shapes and having dodecahedral topology, both spongy and filled, were designed by an original procedure. Rhomb decorated clusters were realized by medial operation followed by dualization, or by p
4 operation. Attention was focused on the cluster C152 that includes the smallest rhombic Rh3 substructure (the skeleton of a real molecule, named [1,1,1]-propellane), which is not a polyhedron but a tile; a new class of structures, called “propellanes” was thus discovered. An atlas section illustrates the discussed multi-shell polyhedral clusters.