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

Abstract

We present results underlining the conjecture that affine extensions for non-crystallographic Coxeter groups 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.

13 pages, submitted to Phys. Lett. A

References in corpus (1)

• Affine extension of noncrystallographic Coxeter groups and quasicrystals

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