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Mathematics of D5 Network

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Diamond and Related Nanostructures

Part of the book series: Carbon Materials: Chemistry and Physics ((CMCP,volume 6))

Abstract

Diamond D5 is the generic name proposed by Diudea for hyperdiamonds constructed mostly from pentagons and hexagons. There are known several allotropes of D5; within this chapter only the clathrate II structure (the basic diamond D5) and the spongy D5 structure are considered. A topological index is a single number representation of the topology of a given structure. Topological indices are calculated on the graphs associated to the chemical structure and were extensively used in QSAR/QSPR studies. The aim of this chapter is to apply some group theoretical algorithms to compute symmetry and topological indices of this important class of nanostructured materials.

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Author information

Authors and Affiliations

  1. Department of Nanocomputing, Institute of Nanoscience and Nanotechnology, University of Kashan, Kashan, 87317-51167, I.R. Iran

    A. R. Ashrafi

  2. Department of Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, 87317-51167, I.R. Iran

    A. R. Ashrafi & F. Koorepazan-Moftakhar

  3. Faculty of Chemistry and Chemical Engineering, Babes-Bolyai University, Arany Janos street 11, 400028, Cluj, Romania

    Mircea V. Diudea & M. Stefu

Authors
  1. A. R. Ashrafi
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  2. F. Koorepazan-Moftakhar
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  3. Mircea V. Diudea
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  4. M. Stefu
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Corresponding author

Correspondence to A. R. Ashrafi .

Editor information

Editors and Affiliations

  1. Faculty of Chemistry and Chemical Engine, Babes-Bolyai University, Arany Janos street 11, Cluj-Napoca, 400028, Romania

    Mircea Vasile Diudea

  2. , Faculty of Chemistry and Chemical Engine, Babes-Bolyai University, Arany Janos street 11, Cluj-Napoca, 400028, Romania

    Csaba Levente Nagy

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Ashrafi, A.R., Koorepazan-Moftakhar, F., Diudea, M.V., Stefu, M. (2013). Mathematics of D5 Network. In: Diudea, M., Nagy, C. (eds) Diamond and Related Nanostructures. Carbon Materials: Chemistry and Physics, vol 6. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6371-5_18

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