Appendix III Duschinsky Effect and Raman Scattering

Abstract

The discussion in this Appendix starts from the following expression of the Raman scattering tensor (α_σσ)₁₀ for a totally symmetric vibration of a molecule:

$${{\left( {{{\alpha }_{{\sigma \sigma }}}} \right)}_{{10}}} = \frac{1}{{hc}}\left\langle {e\left| {{{M}_{\sigma }}} \right|g} \right\rangle _{o}^{2}\sum\limits_{k} {\frac{{\left\langle {1\left| k \right.} \right\rangle \left\langle {k\left| 0 \right.} \right\rangle }}{{{{v}_{{ek}}} - {{v}_{{go}}} - {{v}_{{esc}}} + {{\Gamma }_{{ek}}}}}} $$