It is shown than the Raman scattering tensor can be represented in the
form of a sum of a matrix element of the Rayleigh scattering tensor f
or a molecule with fixed nuclei and correction terms whose inclusion m
akes it possible to describe the effects associated with an asymmetry
of the Raman scattering tensor and calculate intensities of Raman line
s in a wide range of frequencies of exciting light, including the near
-resonance region. The matrix element of the Rayleigh scattering tenso
r was found to include both the Herzberg-Teller and the Franck-Condon
terms of the Rayleigh scattering tensor, which have substantially diff
erent dependences on the frequency of exciting light. We managed to se
parate out in this matrix element a static part, which is determined b
y the polarizability tensor of a molecule, and series rapidly convergi
ng in excited electronic states and describing the dependences of the
Herzberg-Teller and the Franck-Condon terms of the Rayleigh scattering
tensor on the frequency of the incident light.