4.3 Article

Topological lattice descriptors of graphene sheets with fullerene-like nanostructures

Journal

MOLECULAR SIMULATION
Volume 36, Issue 5, Pages 341-353

Publisher

TAYLOR & FRANCIS LTD
DOI: 10.1080/08927020903483262

Keywords

topological Wiener index; carbon black; fullerenes; carbon nanostructure

Funding

  1. ASI
  2. Italian Space Agency [I/015/07/0]

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Polynomial behaviour of the Wiener index for infinite chemical graphs is subject here to a generalisation to structures with topological dimensionality d(T) > 1. This allows a pure topological analysis of relative chemical stability of graphite lattice portions and fullerene fragments (nanocones) built around a pentagonal face. The Wiener index of the graph acts as a lattice topological potential subject to a minimum principle that is able to discriminate topological structures made of hexagons with different connectivity. A new indicator of graph topological efficiency has been applied in the infinite lattice limit to allow a complete ranking of graph chemical stability. A certain grade of reactivity of the pentagonal ring at the centre of nanocones is also predicted. Our considerations are mainly performed in the dual topological space.

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