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Full Symmetry of Single- and Multi-wall Nanotubes

M. Damnjanovic·I. Milosevic·T. Vukovic·R. Sredanovic
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Abstract

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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M. Damnjanovic, I. Milosevic, T. Vukovic, R. Sredanovic. 1999-02-17. Full Symmetry of Single- and Multi-wall Nanotubes. https://doi.org/10.1103/physrevb.60.2728

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