We report femtosecond time-resolved pump-probe DECP experiments using
a colliding pulse mode-locked laser performed on Ti2O3 as the sample l
attice temperature T-L is raised from 300 K through; the ''soft transi
tion'' at 450 K to a temperature of 570 K. We have observed DECP spect
ra through the transition, with oscillations in reflectivity of a few
percent associated with the low frequency A(1g) mode. A thermodynamic
relation is found between the low frequency A(1g) equilibrium displace
ment and the number of excited electrons removed from the valence band
. When applied to T-L-dependent equilibrium coordinate data for Ti2O3
obtained in x-ray experiments, the theory allows a determination of th
e band overlap vs lattice temperature. The band overlap at T-L = 621 K
is found to be similar to 0.06 eV. The A(1g) mode frequency nu(ph), t
he electronic relaxation rate (1/tau(el)), and the phonon relaxation r
ate (1/tau(ph)) have all been followed through the transition. nu(ph)
decreases, and shows a partial recovery in agreement with other Raman
studies. The behavior of (1/tau(el)) can be understood as due to an in
crease in available states for interband electron-phonon scattering as
the band crossing takes place. Applying a deformation potential model
to the data for (1/tau(el)) before band crossing, with the low freque
ncy A(1g) mode as the dominant scattering mechanism, a value of /D/ co
ngruent to 2.0 eV is obtained for the valence band deformation potenti
al associated with this mode. (1/tau(ph)) does not show a clearcut cor
relation with bandcrossing due to greater scatter in the data. The tem
perature dependence is partially explained by the two-phonon decay of
the coherent phonon excited in DECP, and may also have a component due
to interaction with hot electrons as well as a dephasing contribution
.