COUPLING WITH THE JAHN-TELLER MODE FOR TRIPLET-STATES OF MF(6) (M=MN2- DEPENDENCE ON THE M-F DISTANCE AND INFLUENCE ON THE STOKES SHIFT(,CR3+) COMPLEXES )
Mt. Barriuso et al., COUPLING WITH THE JAHN-TELLER MODE FOR TRIPLET-STATES OF MF(6) (M=MN2- DEPENDENCE ON THE M-F DISTANCE AND INFLUENCE ON THE STOKES SHIFT(,CR3+) COMPLEXES ), Physica status solidi. b, Basic research, 196(1), 1996, pp. 193-208
The microscopic origin of the V-E coupling constant with the Jahn-Tell
er mode E(g) for orbital triplet states corresponding to several excit
ed states of MnF64- and the T-4(2g) State of CrF63- is explored by mol
ecular orbital (MO) calculations. V-E is shown to be determined by the
splittings Delta(c) and Delta(t) induced in the antibonding e(g) and
t(2g) levels by a Q(theta)(similar to 3z(2) - r(2)) distortion and s
o V-E < 0 for the T-4(2g) state of CrF63- leading to a compressed octa
hedron as equilibrium geometry. V-E values have been derived from self
-consistent charge extended Huckel and MSX alpha calculations performe
d al different Q(theta) values. The results for the T-4(1g)(G), T-4(2g
)(G), T-4(2g)(D), and T-4(1g)(P) states of MnF64- are reasonably close
to the experimental Figures. For the first excited state T-4(1g)(G) t
he value V-E approximate to 60 cm(-1)/pm found for a metal-ligand dist
ance R equal to 213 pm leads to a Huang-Rhys factor S-E = 1.5 also clo
se to experimental findings. On passing from this case to the T-4(2g),
State of CrF63- \V-E\ increases by a factor of about two but S-E = 1.
2 in agreement with experimental data for Rb2KGaF6: Cr3+. The latter f
igure implies a Stokes shift E(S)(0)(E) due to the E(g) mode equal to
1200 cm(-1) which is about 50% of tile total Stokes shift. As a salien
t feature it is shown that for both MnF64- and CrF63- complexes V-E st
rongly depends upon R, as it also happens to the V-A coupling constant
with the symmetric A(1g) mode. This reasonably explains the increase
of the Stokes shift upon increasing R recently observed for Mn2+-doped
fluoroperovskites. Although pure crystal field (CF) theory gives rise
to V-E values much smaller than the experimental ones it is shown tha
t the relation V-A/V-E = root 2 derived for the first excited state of
MnF64- and CrF63- is not far from the results obtained through MO cal
culations.