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Type: Conference paper
Title: Ideal polyhedral models for single-walled nanotubes
Author: Lee, K.
Cox, B.
Hill, J.
Citation: Physics Procedia, 2011 / Lee, G. (ed./s), vol.22, pp.144-149
Publisher: Elsevier BV
Issue Date: 2011
Series/Report no.: Physics Procedia
ISSN: 1875-3892
Conference Name: 2011 International Conference on Physics Science and Technology (ICPST 2011) (12 Dec 2011 - 13 Dec 2011 : Hong Kong, China)
Editor: Lee, G.
Statement of
Richard K.F. Lee, Barry J. Cox and James M. Hill
Abstract: In this paper, we survey existing geometric structures which have been proposed by the authors as possible models for nanotubes. Atoms assemble into molecules following the laws of quantum mechanics, and in general computational approaches to predicting the molecular structure can be arduous and involve considerable computing time. Fortunately, nature favours minimum energy structures which tend to be either very symmetric or very unsymmetric, and which therefore can be analyzed from a geometrical perspective. The conventional rolled-up model of nanotubes completely ignores any effects due to curvature and the present authors have proposed a number of exact geometric models. Here we review a number of these recent developments relating to the geometry of nanotubes, with exact polyhedral constructions, and in particular for the three materials, carbon, boron and silicon. We summarise the main formulae and give illustrative numerical results for these three nanotubes. © 2011 Published by Elsevier B.V.
Rights: © 2011 Published by Elsevier B.V
DOI: 10.1016/j.phpro.2011.11.023
Appears in Collections:Aurora harvest 5
Mathematical Sciences publications

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