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Graphene Derivatives: Carbon Nanocones and CorSu Lattice: A Topological Approach

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Book cover Distance, Symmetry, and Topology in Carbon Nanomaterials

Part of the book series: Carbon Materials: Chemistry and Physics ((CMCP,volume 9))

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Abstract

Graphene is a graphite sheet with (6,3) covering and all sp2 carbon atoms. In this chapter, two structural modifications of graphene are presented: the cones and CorSu (coronene-sumanene) tessellation. Topology of these modified graphenes is given in terms of several counting polynomials and corresponding topological indices. Analytical formulas were derived either by numerical analysis or by the cutting procedure. In the case of CorSu lattice, composition rules (with fragmental contributions) for the Omega polynomial were established.

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Acknowledgments

MVD acknowledges the financial support offered by project PN-II-ID-PCE-2011-3-0346. Thanks are addressed to Professor Davide Proserpio, Universita degli Studi di Milano, Italy, for crystallographic data.

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Authors and Affiliations

  1. Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, 87317-53153, Iran

    Farzaneh Gholaminezhad

  2. Department of Chemistry, Faculty of Chemistry and Chemical Engineering, Babes-Bolyai University, Arany Janos Street 11, Cluj-Napoca, RO-400028, Romania

    Mircea V. Diudea

Authors
  1. Farzaneh Gholaminezhad
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  2. Mircea V. Diudea
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Correspondence to Farzaneh Gholaminezhad .

Editor information

Editors and Affiliations

  1. Department of Nanocomputing, Institute of Nanoscience and Nanotechnology, University of Kashan, Kashan, Iran

    Ali Reza Ashrafi

  2. Department of Chemistry, Faculty of Chemistry and Chemical Engineering, Babes-Bolyai University, Cluj-Napoca, Romania

    Mircea V. Diudea

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Gholaminezhad, F., Diudea, M.V. (2016). Graphene Derivatives: Carbon Nanocones and CorSu Lattice: A Topological Approach. In: Ashrafi, A., Diudea, M. (eds) Distance, Symmetry, and Topology in Carbon Nanomaterials. Carbon Materials: Chemistry and Physics, vol 9. Springer, Cham. https://doi.org/10.1007/978-3-319-31584-3_9

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