Raman scattering of molecular oxygen in the region of the Schumann-Run
ge absorption band system is calculated from first principles in the s
econd order of perturbation theory in the interaction of photon-electr
on operator. Quantitative predictions are given for the cross sections
for scattering of photons and a detailed comparison is made with avai
lable measurements. The behavior of Raman spectra near the predissocia
ting rovibronic level (upsilon' = 5,N') in the B (3) Sigma(u)(-) elect
ronic State of O-2 is investigated and shown to have significant depen
dence on the detuning of the incident laser frequency. By casting the
Raman transition matrix in a form similar to the Fano formalism, we ar
e able to investigate the nature of the resonant and nonresonant scatt
ering in the language of configuration interaction. By varying the pre
dissociating width of the (upsilon' = 5,N') resonance, we make a compa
rison with an earlier time-dependent wave-packet analysis. We also cal
culate the depolarization ratio of the scattered photons parallel and
perpendicular to the polarization of the incident laser beam for the d
ifferent Raman branches for lines terminating in the v '' = 1 and v ''
= 6 levels and comment on the relationship between resonant Raman sca
ttering and fluorescence emission. (C) 1997 American Institute of Phys
ics.