The vibrational contributions to second-order transition properties are con
sidered in the framework of the Born-Oppenheimer approximation. It is shown
that the usual formula for vibrational second-order transition matrix elem
ents is incomplete and needs to be supplemented by a term of purely vibrati
onal origin. This pure vibrational contribution is calculated for vibration
al transition polarizabilities in LiH and BeF and found to be quite signifi
cant. Its inclusion in theoretically calculated data for the Raman intensit
ies appears to be necessary.