The chirality-dependent G-band Raman intensity of single wall carbon nanotu
bes is calculated using a nonresonant theory for the Raman tensor. We obtai
n six or three intense Raman modes, respectively, for chiral or achiral nan
otubes, whose relative intensities depend on the chiral angle of the nanotu
be. The longitudinal and transverse optical phonon modes in two-dimensional
graphite become, respectively, transverse and longitudinal optical phonon
modes in a one-dimensional nanotube. Confocal micro-Raman measurements of i
ndividual single wall carbon nanotubes show chirality-dependent spectra of
the G-band intensity, as predicted by this theory.