Dynamics of carbon clusters: Chemical equilibration of rings and bi-cyclic rings

Thomas Heine, Francesco Zerbetto

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7 Citations (Scopus)


Quantum-chemical calculations, at the self-consistent-charge density-functional-based non-orthogonal tight binding (SCC-DFTB) level, are used to provide the input for unimolecular reaction rate theory calculations to predict the temperatures at which rapid, i.e., microsecond timescale, equilibration between mono-cyclic and bi-cyclic carbon clusters can occur. The computational results are discussed in the form of a set of trends for their variation with the size of the cluster, the length of the carbon-carbon bond broken or formed, the vibrational frequencies, the energy differences and the rate constants. The temperatures used experimentally to prepare fullerenes and nanotubes are compatible with the rapid equilibration of rings and bi-cyclic rings, a factor that explains the lack of defects in these higher forms of carbon clusters and the general trend towards the formation of the most stable fullerene for a given nuclearity.

Original languageEnglish
Pages (from-to)359-367
Number of pages9
JournalChemical Physics Letters
Issue number5-6
Publication statusPublished - 2002 Jun 7

Bibliographical note

Funding Information:
F.Z. acknowledges partial financial support from CNR programme `Materiali Innovativi (legge 95/95)', MURST project `Dispositivi Supramolecolari' and program for `Selected topics' of the University of Bologna. T.H. is grateful for support of the Swiss National Science Foundation (Project 2002-063496.00/1).

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy
  • Physical and Theoretical Chemistry


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