M. Hulman et al., Distribution of spectral moments for the radial breathing mode of single wall carbon nanotubes - art. no. 081406, PHYS REV B, 6308(8), 2001, pp. 1406
Raman scattering of the radial breathing mode of single wall carbon nanotub
es was measured with a large number of different laser lines. The first and
the second moments of the spectral distribution were evaluated for all rec
orded spectra and were found to exhibit damped oscillations with the excita
tion energy. The oscillations originate from the confinement of the electro
ns into states distributed within the van Hove singularities. An extended a
s well as an approximate calculation of the moments yields very good agreem
ent with the experiments and allows to determine the diameter of the nanotu
be bundles. Using the approximate calculation the mean diameter and the wid
th of the diameter distribution can be evaluated from a single Raman experi
ment.