Open AccessPhonon dispersion relation calculations of armchair and zigzag carbon nanotubes
Author(s) -
Bin Zhang,
Yufang Wang,
Qinhan Jin,
Baohui Li,
Datong Ding
Publication year - 2005
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.54.1325
Subject(s) - zigzag , carbon nanotube , phonon , materials science , dispersion relation , graphene , graphite , curvature , condensed matter physics , dispersion (optics) , nanotechnology , physics , quantum mechanics , composite material , geometry , mathematics
When we calculate the phonon dispersion relations by using the force constant parameters for two_dimensional(2D) graphite, it is necessary to consider the problem that a 3D nanotube is formed by a rolled 2D graphene sheet. The present paper reports results on phonon dispersion relations of armchair and zigzag carbon nanotubes calculated with the considerations to the effect of curvature. Based on the results of the calculations and the symmetry analysis of the structures of single wall armchair and zigzag carbon nanotubes, the decomposition of the vibration modes at the Γ point is discussed.