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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Archīum Ateneo
2014
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ph-ateneo-arc.mathematics-faculty-pubs-10412020-07-28T06:45:01Z Symmetry groups of single-wall nanotubes De Las Peñas, Ma. Louise Antonette N Loyola, Mark Basilio, Antonio M Santoso, Eko Budi 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. 2014-01-01T08:00:00Z text application/pdf https://archium.ateneo.edu/mathematics-faculty-pubs/42 http://scripts.iucr.org/cgi-bin/paper?S2053273313023887 Mathematics Faculty Publications Archīum Ateneo single-wall nanotubes structural analogs symmetry groups color symmetry Geometry and Topology Mathematics |
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single-wall nanotubes structural analogs symmetry groups color symmetry Geometry and Topology Mathematics |
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single-wall nanotubes structural analogs symmetry groups color symmetry Geometry and Topology Mathematics De Las Peñas, Ma. Louise Antonette N Loyola, Mark Basilio, Antonio M Santoso, Eko Budi Symmetry groups of single-wall nanotubes |
| description |
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. |
| format |
text |
| author |
De Las Peñas, Ma. Louise Antonette N Loyola, Mark Basilio, Antonio M Santoso, Eko Budi |
| author_facet |
De Las Peñas, Ma. Louise Antonette N Loyola, Mark Basilio, Antonio M Santoso, Eko Budi |
| author_sort |
De Las Peñas, Ma. Louise Antonette N |
| title |
Symmetry groups of single-wall nanotubes |
| title_short |
Symmetry groups of single-wall nanotubes |
| title_full |
Symmetry groups of single-wall nanotubes |
| title_fullStr |
Symmetry groups of single-wall nanotubes |
| title_full_unstemmed |
Symmetry groups of single-wall nanotubes |
| title_sort |
symmetry groups of single-wall nanotubes |
| publisher |
Archīum Ateneo |
| publishDate |
2014 |
| url |
https://archium.ateneo.edu/mathematics-faculty-pubs/42 http://scripts.iucr.org/cgi-bin/paper?S2053273313023887 |
| _version_ |
1681506790230982656 |