THEORY OF SIZE-DEPENDENT RESONANCE RAMAN-SCATTERING FROM CARBON NANOTUBES

Raman scattering from single-walled carbon nanotubes is examined in de tail theoretically and compared with experiments. Within a simple tigh t-binding model the Raman matrix elements are evaluated explicitly, an d the shape of the resonance in the scattered intensity due to interba nd electronic transitions is derived. The resonance in the optical reg ime is shown to depend sharply on the diameter of the tubes. Thus, res onance Raman scattering may be used for determining size distribution in a sample, as well as for the determination of details of the band s tructure.