A quotient space approach to model nanotori and determine their symmetry groups

This paper discusses a geometric model of a nanotorus based on the concept of quotient spaces. The derivation of the symmetry group of the embedded toroidal quotient space in the 4-dimensional flat torus is accomplished using fundamental results from algebra and the theory of manifolds. The realizat...

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Main Authors:	Loyola, Mark, De Las Peñas, Ma. Louise Antonette N, Santoso, Eko Budi, Estrada, Grace M
Format:	text
Published:	Archīum Ateneo 2014
Subjects:	Geometry and Topology Mathematics
Online Access:	https://archium.ateneo.edu/mathematics-faculty-pubs/41 https://aip.scitation.org/doi/10.1063/1.4882549
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Institution:	Ateneo De Manila University

id	ph-ateneo-arc.mathematics-faculty-pubs-1040
record_format	eprints
spelling	ph-ateneo-arc.mathematics-faculty-pubs-10402020-06-27T02:08:10Z A quotient space approach to model nanotori and determine their symmetry groups Loyola, Mark De Las Peñas, Ma. Louise Antonette N Santoso, Eko Budi Estrada, Grace M This paper discusses a geometric model of a nanotorus based on the concept of quotient spaces. The derivation of the symmetry group of the embedded toroidal quotient space in the 4-dimensional flat torus is accomplished using fundamental results from algebra and the theory of manifolds. The realization of these 4-dimensional symmetries as either axial point group symmetries or as non-rigid motions of 3-dimensional round torus will be explored. As a particular example, we discuss the derivation of the symmetry groups of carbon nanotori. 2014-06-19T07:00:00Z text https://archium.ateneo.edu/mathematics-faculty-pubs/41 https://aip.scitation.org/doi/10.1063/1.4882549 Mathematics Faculty Publications Archīum Ateneo Geometry and Topology Mathematics
institution	Ateneo De Manila University
building	Ateneo De Manila University Library
country	Philippines
collection	archium.Ateneo Institutional Repository
topic	Geometry and Topology Mathematics
spellingShingle	Geometry and Topology Mathematics Loyola, Mark De Las Peñas, Ma. Louise Antonette N Santoso, Eko Budi Estrada, Grace M A quotient space approach to model nanotori and determine their symmetry groups
description	This paper discusses a geometric model of a nanotorus based on the concept of quotient spaces. The derivation of the symmetry group of the embedded toroidal quotient space in the 4-dimensional flat torus is accomplished using fundamental results from algebra and the theory of manifolds. The realization of these 4-dimensional symmetries as either axial point group symmetries or as non-rigid motions of 3-dimensional round torus will be explored. As a particular example, we discuss the derivation of the symmetry groups of carbon nanotori.
format	text
author	Loyola, Mark De Las Peñas, Ma. Louise Antonette N Santoso, Eko Budi Estrada, Grace M
author_facet	Loyola, Mark De Las Peñas, Ma. Louise Antonette N Santoso, Eko Budi Estrada, Grace M
author_sort	Loyola, Mark
title	A quotient space approach to model nanotori and determine their symmetry groups
title_short	A quotient space approach to model nanotori and determine their symmetry groups
title_full	A quotient space approach to model nanotori and determine their symmetry groups
title_fullStr	A quotient space approach to model nanotori and determine their symmetry groups
title_full_unstemmed	A quotient space approach to model nanotori and determine their symmetry groups
title_sort	quotient space approach to model nanotori and determine their symmetry groups
publisher	Archīum Ateneo
publishDate	2014
url	https://archium.ateneo.edu/mathematics-faculty-pubs/41 https://aip.scitation.org/doi/10.1063/1.4882549
_version_	1681506695416643584

A quotient space approach to model nanotori and determine their symmetry groups

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