VIBRONIC INTENSITIES IN CENTROSYMMETRIC COORDINATION-COMPOUNDS OF THERARE-EARTHS .2. A VIBRONIC CRYSTAL FIELD-CLOSURE-LIGAND POLARIZATION MODEL AND APPLICATIONS TO THE PRCL63- AND UBR62- COMPLEX-IONS IN OCTAHEDRAL SYMMETRY
R. Acevedo et al., VIBRONIC INTENSITIES IN CENTROSYMMETRIC COORDINATION-COMPOUNDS OF THERARE-EARTHS .2. A VIBRONIC CRYSTAL FIELD-CLOSURE-LIGAND POLARIZATION MODEL AND APPLICATIONS TO THE PRCL63- AND UBR62- COMPLEX-IONS IN OCTAHEDRAL SYMMETRY, Journal of molecular structure. Theochem, 390, 1997, pp. 109-119
A symmetry adapted formalism to evaluate the vibronic intensities indu
ced by the ungerade vibrational modes in centrosymmetric coordination
compounds of the rare earths is put forward and applied to several sel
ected electronic transitions of the PrCl63- and UCl62- complex ions in
octahedral symmetry. This current model is based upon a modified symm
etry adapted version of the combined vibronic crystal field-closure-li
gand polarisation approach. This model differs from that developed in
Part I of this series, in that for the vibronic crystal field contribu
tion to the total transition dipole moment, the closure procedure is e
mployed rather than the utilisation of a truncated basis set for the c
entral metal intermediate electronic states. A criterion is introduced
to choose an appropriate set of phases for both the electronic and th
e vibrational coordinates so that to ensure the right sign for the int
erference term (which couples together both the vibronic crystal field
and the vibronic ligand polarisation contributions to the total trans
ition dipole moment). We have focused our attention on the modulation
of the intermolecular force field and a version of a modified general
valence force field has been adopted. The reasons for using this forma
lism rather than the superposition model (SM) are fully discussed in t
he text. Finally, it is shown that the agreement with experiment is sa
tisfactory for most of the components of the transitions studied, desp
ite the apparent simplicity of our model calculation. General master e
quations applicable to any f(N) electronic configurations are derived
to show the utility and flexibility of this current formalism.