Full Symmetry of Single- and Multi-wall Nanotubes

Details Full Symmetry of Single- and Multi-wall Nanotubes Full Symmetry of Single- and Multi-wall Nanotubes

1999-02-17

arxiv.org/abs/cond-mat/9902245v1

Phys. Rev. B 60 (1999) 2728-2739

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages, 2 figures, revtex

Scientific paper

10.1103/PhysRevB.60.2728

The full symmetry groups for all single- and multi-wall carbon nanotubes are found. As for the single-wall tubes, the symmetries form nonabelian nonsymorphic line groups, enlarging the groups reported in literature. In the multi-wall case, any type of the line and the axial point groups can be obtained, depending on single-wall constituents and their relative position. Several other consequences are discussed: quantum numbers and related selection rules, electronic and phonon bands, and their degeneracy, application to tensor properties.

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