M. Leuchs et W. Kiefer, LOW-TEMPERATURE ABSORPTION AND RESONANCE RAMAN-SPECTRA OF THE MNO4(-)ION DOPED IN A KCLO4 CRYSTAL, Physical review. B, Condensed matter, 48(21), 1993, pp. 15690-15697
We have performed polarized absorption and resonance Raman experiments
on a permanganate ion doped in a potassium perchlorate single crystal
at temperature T = 15 K. At this low temperature the m(C(s)) site spl
itting of the excited degenerate 1T2 electronic level of the permangan
ate ion is well resolved and the amount of splitting is about 40 cm-1.
Due to the clectronic configuration, one would expect that non-Condon
terms have to be considered in the description of the absorption spec
trum. For the theoretical simulation of our experimental results we ha
ve used expressions derived from the time-correlator formulation for t
he optical absorption. These are much easier to handle and they cause
significant shorter calculation times than the usual sum-over-states e
xpressions. In order to determine the symmetries and the wave-number p
ositions of the site-split permanganate vibrations, we have performed
resonance Raman experiments. The results obtained from these experimen
ts form the basis for the interpretation of the absorption spectrum. T
he applied model includes the linear and quadratic electron-phonon and
linear non-Condon coupling. Within this model we describe the multimo
de system and we show how a normal vibration, which apparently has no
significant effects in the absorption spectrum, influences the discuss
ion of the model system. For the fully symmetric breathing mode of the
permanganate ion, we have calculated the change of the Mn-O equilibri
um bond length in the electronic excited state from the corresponding
linear electron-phonon coupling constant to be 4.6+/-0.4 pm.