Stokes and anti-Stokes Raman spectra of small-diameter isolated carbon nanotubes

Department of Physics, Tohoku Universityand CREST, JST, Sendai 980-8578, Japan~Received 10 May 2003; revised manuscript received 29 September 2003; published 26 March 2004!By measuring the anti-Stokes~AS! and Stokes ~S! Raman spectra on the same isolated single-wall carbonnanotube ~SWNT!, we here determine the electronic transition energies E