Schematic
(Jablonski) diagrams (top) showing the basic elements
of the electronic structure of a molecule. In quantum mechanical terms,
a (nonresonant) Stokes process (right) consists of a transition to
a virtual state, followed by a re-emission, leaving the molecule in
the first (v = 1) vibrational excited state. This
corresponds to positive Raman shifts in the spectrum. The anti-Stokes
process (negative Raman shifts) on the top left follows the opposite
path, thus producing a photon with a higher energy than that of the
incoming one. The anti-Stokes process depends on the population of
the excited level, while the Stokes process is (at low intensities
where Raman stimulation is negligible) independent of this population.
The processes depicted in the top-right (top-left) diagram contribute
to the Stokes (anti-Stokes) part of the spectrum at lower (higher)
energies with respect to the laser, as depicted in the bottom figure.
Reproduced with permission from ref (176). Copyright 2008 Royal Society of Chemistry.