C60 Related Clusters

  • Mircea Vasile Diudea
Part of the Carbon Materials: Chemistry and Physics book series (CMCP, volume 10)


A hyper-structure is a (molecular) construction, of formula MY(mS; p) . n: M is the parent molecule in the Y “hyper”-building while m is the number of substructures S, joined by the type p facets; the total number n of atoms suffixes the name of the hyper-structure. Point-centered clusters and “cell-in-cell” clusters, used as seeds for map operations or even stellated “monomers” contributed to hyper-structure building, all based on the topology of M = C60(I h ). Examples are given starting from C750 = C60Y(60C20).750, transformed by dual, medial and truncation operations, to obtain hyper-structures of the type C60Y(60S;p).n.

Vertex equivalence classes found by topological descriptors were confirmed by permutations performed on the adjacency matrix associated to such complex graphs (by using Mathematica software). An atlas section illustrates the discussed multi-shell polyhedral clusters.

Supplementary material


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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  • Mircea Vasile Diudea
    • 1
  1. 1.Department of Chemistry, Faculty of Chemistry and Chemical EngineeringBabes-Bolyai UniversityCluj-NapocaRomania

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