Symmetry groups of single-wall nanotubes

Ma. Louise Antonette N De Las Peñas; Mark Loyola; Antonio M Basilio; Eko Budi Santoso

Symmetry groups of single-wall nanotubes

Ma. Louise Antonette N De Las Peñas, Mark Loyola, Antonio M Basilio, Eko Budi Santoso

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	American English
Pages (from-to)	12-23
Number of pages	12
Journal	Mathematics Faculty Publications
Volume	70
Issue number	1
State	Published - Jan 1 2014

ASJC Scopus Subject Areas

Structural Biology
Biochemistry
General Materials Science
Condensed Matter Physics
Physical and Theoretical Chemistry
Inorganic Chemistry

Keywords

single-wall nanotubes
structural analogs
symmetry groups
color symmetry

Disciplines

Geometry and Topology
Mathematics

Access to Document

http://scripts.iucr.org/cgi-bin/paper?S2053273313023887

Cite this

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abstract = "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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note = "De Las Pe{\~n}as, M. L. A. N., Loyola, M. L., Basilio, A. M., & Santoso, E. B. (2014). Symmetry groups of single-wall nanotubes. Acta Crystallographica Section A: Foundations and Advances, 70(1), 12-23.",

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AU - De Las Peñas, Ma. Louise Antonette N

AU - Loyola, Mark

AU - Basilio, Antonio M

AU - Santoso, Eko Budi

N1 - De Las Peñas, M. L. A. N., Loyola, M. L., Basilio, A. M., & Santoso, E. B. (2014). Symmetry groups of single-wall nanotubes. Acta Crystallographica Section A: Foundations and Advances, 70(1), 12-23.

PY - 2014/1/1

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N2 - 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.

AB - 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.

KW - single-wall nanotubes

KW - structural analogs

KW - symmetry groups

KW - color symmetry

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Symmetry groups of single-wall nanotubes

Abstract

ASJC Scopus Subject Areas

Keywords

Disciplines

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