Resonant Raman intensity of the radial breathing mode of single-walled carbon nanotubes within a nonorthogonal tight-binding model

The resonant Raman intensity of the radial breathing mode is calculated for 50 narrow semiconducting single-walled carbon nanotubes within a symmetry-adapted nonorthogonal tight-binding model. The matrix elements of the momentum and the deformation potential in the quantum-mechanical formula for the intensity are calculated explicitly. The results for the resonance Raman profiles can be used directly in the determination of the diameter distribution of the nanotubes in a sample. Three Raman spectra are simulated and compared to existing experimental data.