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:	De Las Peñas, Ma. Louise Antonette N, Loyola, Mark, Basilio, Antonio M, Santoso, Eko Budi
Format:	text
Published:	Archīum Ateneo 2014
Subjects:	single-wall nanotubes structural analogs symmetry groups color symmetry Geometry and Topology Mathematics
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

id	ph-ateneo-arc.mathematics-faculty-pubs-1041
record_format	eprints
spelling	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
institution	Ateneo De Manila University
building	Ateneo De Manila University Library
country	Philippines
collection	archium.Ateneo Institutional Repository
topic	single-wall nanotubes structural analogs symmetry groups color symmetry Geometry and Topology Mathematics
spellingShingle	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

Symmetry groups of single-wall nanotubes

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