Open AccessPhonon spectrum of single-walled carbon nanotubes
Author(s) -
Xiao Yang,
Xiaohong Yan,
Juexian Cao,
Ding Jian-Wen
Publication year - 2003
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.52.1720
Subject(s) - zigzag , phonon , degenerate energy levels , force constant , carbon nanotube , materials science , rotation (mathematics) , spectral line , spectrum (functional analysis) , condensed matter physics , physics , quantum mechanics , nanotechnology , molecule , geometry , mathematics
The phonon spectra are calculated within the frame of force constant model. By virtue of five rotation operations determined by the coordinates of carbon atoms, it is convenient for us to obtain the force matrix. The calculations show that there are only 12 non-degenerate phonon branches and 6(n-1) degenerate branc hes for armchair (n, n) tube and zigzag (n, 0) tube.