The Raman-active radial breathing modes (RBM) and tangential modes (TM) of
single wall carbon nanotubes (SWNT) are studied at fixed laser excitation e
nergy 2.41 eV (514.5 nm). We focus on the striking diameter dependence of t
he relative intensity of the TM and RBM between 0.9 and 2.1 nm, which displ
ays a series of plateaux separated by well-defined minima around 1.35 and 0
.9 nm. This relates to the diameter dependence of allowed optical transitio
ns (AOT) in SWNT. Diameters in the range 1-1.3 nm (above 1.4 nm) correspond
to metallic (semiconducting) SWNT in resonance at 2.41 eV. The minima corr
espond to out-of-resonance conditions for TM. The measurement of the diamet
er dependence of the TM intensity for fixed laser energies is an alternativ
e experimental way to plot the envelopes of the domains of AOT in SWNT.