Dual Space Approach to the Classification of Toroidal Carbon Nanotubes
Journal
Journal of Chemical Information and Modeling
Journal Volume
49
Journal Issue
7
Pages
1679--1686
Date Issued
2009-07
Author(s)
Abstract
We apply the dual space approach to the classification of toroidal carbon nanotubes. We show that the realizations of most of the geometric manipulations described in the literature become explicit in the dual space of the original molecular graph. In particular, dual graph can be easily constructed on a rectangular strip in the parametric plane of the torus. Generalization to other forms of graphitic cages with different topologies can also be done. Manifested chirality and the criteria for the existence of highly symmetric isomers are discussed.
Type
journal article