An experimental and theoretical study is presented of the nonlinear response of a dilute solution being pumped by two laser fields having different frequencies w1 and (02 that are both in resonance with electronic transitions of the solute. Experimental results were obtained for the dispersion of the third-order susceptibility IX(3kW2) 2 for a dilute solution of iron (III) The metalloporphyrins have been recognized for some time as systems that may undergo extremely rapid relaxation after optical excitation. The consistent observation of broad optical spectral bands for these systems has led to suggestions that they may actually be homogeneous, with widths representing the coupling of the porphyrin states with the lower lying electronic states (1-6). The lowest excited states of filled shell metalloporphyrins manifest sharp spectral bands and correspondingly long excited-state life times. Similarly, with other types of moderately large molecules the higher excited levels usually show broad spectra characteristic of the perturbations between the different electronic surfaces (7,8). In molecules that have nearby states and large numbers of vibrational modes, we can expect that electronic relaxations occurring in these perturbation regions will be very complex in the time domain and extremely rapid when excited with sufficiently short pulses.In the present study we have used polarization spectroscopy to investigate directly the relaxation of iron(III) tetraphenylporphyrin chloride (FeTPP) in solution. Polarization spectroscopy involves the detection of nonlinear polarization in the medium at one frequency while the system is being pumped by another optical field. This approach has previously been used with gases of atoms and small molecules to expose Doppler free spectra in inhomogeneously broadened systems (9). In solutions, polarization spectroscopy is expected to provide new information about the dynamics and inhomogeneous structure of liquids. Experiments with the two incident fields having nearly equal frequency were discussed by Yajima (10) and carried out by Yajima and Souma (11). These authors made observations of coherently generated light at 2w1-2 (where 01 W2) and related the signals to homogeneous widths and population decays of the resonant levels in a liquid. Song et al. (12) obtained ultrafast relaxation times in solutions by measuring the coherently generated light at W2 when pumping with two sources w, and W2, again where w, i 2The interpretation of previous measurements in liquids (10)(11)(12) assumed that the inhomogeneous line broadening is the dominant contribution to the widths of optical transitions of dyes in solutions. Whereas this may be true in certain cases, there is no reason to expect it to be valid in general, and one purpose of the present work was to evaluate approximations of this type by considering a system where there is more knowledge of the molecular spectroscopy and internal molecular dynamics. Optically pumped molecules in solutions can undergo population relaxatio...