Optical and Vibrational Spectra of Narrow Nanotubes: A Symmetry Based Approach

By use of the tight binding method for induced representations (based on the line group symmetry) polarized optical conductivity, radial breathing and high energy vibrational mode frequencies of the narrow single‐wall carbon nanotubes are calculated. The absorption spectra features are assigned by the complete set of conserved quantum numbers and the results obtained are discussed in relation to the previously reported calculations and measurements.