On the linear representations of the symmetry groups of single-wall carbon nanotubes

Simple item page
dc.creatorCotfas, Nicolae
dc.date2006-02-04
dc.date2006-02-08
dc.date.accessioned2026-07-07T07:02:57Z
dc.date.available2026-07-07T07:02:57Z
dc.descriptionThe positions of atoms forming a carbon nanotube are usually described by using a system of generators of the symmetry group. Each atomic position corresponds to an element of the set Z x {0,1,...,n} x {0,1}, where n depends on the considered nanotube. We obtain an alternate rather different description by starting from a three-axes description of the honeycomb lattice. In our mathematical model, which is a factor space defined by an equivalence relation in the set {(v_0,v_1,v_2)\in Z^3 | v_0+v_1+v_2\in {0,1}}, the neighbours of an atomic position can be described in a simpler way, and the mathematical objects with geometric or physical significance have a simpler and more symmetric form. We present some results concerning the linear representations of single-wall carbon nanotubes in order to illustrate the proposed approach.
dc.descriptionMajor change of content. More details will be available at http://fpcm5.fizica.unibuc.ro/~ncotfas
dc.identifierhttps://arxiv.org/abs/math-ph/0602014
dc.identifierhttp://arxiv.org/abs/math-ph/0602014
dc.identifierJ. Phys. A: Math. Gen. 39 (2006) 9755-9765
dc.identifierdoi:10.1088/0305-4470/39/31/007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108789
dc.subjectMathematical Physics
dc.subjectMaterials Science
dc.subjectGroup Theory
dc.subject20C35; 81V55
dc.titleOn the linear representations of the symmetry groups of single-wall carbon nanotubes
dc.typetext

Files

Collections

arXiv