New group structures for Carbon onions and Carbon nanotubes via affine extensions of non-crystallographic Coxeter groups

摘要

We present results underlining the conjecture [J. Patera, R. Twarock, J. Phys. A, in press] that the affine extensions for non-crystallographic Coxeter groups introduced in this reference are suitable mathematical objects for the description of the symmetries of Carbon onions and Carbon nanotubes. It is the hope that these considerations will shed new light on open questions concerning structure, stability and formation of these fullerenes. (C) 2002 Elsevier Science B.V. All rights reserved. [References: 16]