Document Detail

The full symmetry and irreducible representations of nanotori.
MedLine Citation:
PMID:  19349669     Owner:  NLM     Status:  PubMed-not-MEDLINE    
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.
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:  -    
Islamic Azad University, Majlesi Branch, Isfahan, Iran.
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