Document Detail


The full symmetry and irreducible representations of nanotori.
MedLine Citation:
PMID:  19349669     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Abstract/OtherAbstract:
The full symmetry groups of carbon nanotori are investigated. It is shown that that the symmetry group of a chiral (n1, n2) nanotorus is isomorphic to D(2mq/n), where m and q are the number of lattice points on the torus circumference vector and the number of graphene hexagons in the nanotorus unit cell, respectively, and n = gcd(n1, n2). It is also shown that the symmetry group of zigzag and armchair (achiral) nanotori is D4m x Z2, where D2k and Zk are the dihedral group of order 2k and the cyclic group of order k, respectively. The irreducible representations and characters of these groups are discussed.
Authors:
Majid Arezoomand; Bijan Taeri
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Publication Detail:
Type:  Journal Article     Date:  2009-04-02
Journal Detail:
Title:  Acta crystallographica. Section A, Foundations of crystallography     Volume:  65     ISSN:  1600-5724     ISO Abbreviation:  Acta Crystallogr., A, Found. Crystallogr.     Publication Date:  2009 May 
Date Detail:
Created Date:  2009-04-07     Completed Date:  2009-07-06     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  8305825     Medline TA:  Acta Crystallogr A     Country:  Denmark    
Other Details:
Languages:  eng     Pagination:  249-52     Citation Subset:  -    
Affiliation:
Islamic Azad University, Majlesi Branch, Isfahan, Iran.
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