|
物理学报 2003
Phonon spectrum of single-walled carbon nanotubes
|
Abstract:
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.