Symmetry groups of single-wall nanotubes
This work investigates the symmetry properties of single-wall carbon nanotubes and their structural analogs, which are nanotubes consisting of different kinds of atoms. The symmetry group of a nanotube is studied by looking at symmetries and color fixing symmetries associated with a coloring of the...
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| Main Authors: | , , , |
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| Format: | text |
| Published: |
Archīum Ateneo
2014
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| Subjects: | |
| Online Access: | https://archium.ateneo.edu/mathematics-faculty-pubs/42 http://scripts.iucr.org/cgi-bin/paper?S2053273313023887 |
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| Institution: | Ateneo De Manila University |
| Summary: | This work investigates the symmetry properties of single-wall carbon nanotubes and their structural analogs, which are nanotubes consisting of different kinds of atoms. The symmetry group of a nanotube is studied by looking at symmetries and color fixing symmetries associated with a coloring of the tiling by hexagons in the Euclidean plane which, when rolled, gives rise to a geometric model of the nanotube. The approach is also applied to nanotubes with non-hexagonal symmetry arising from other isogonal tilings of the plane. |
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