The spectrum of coherent scattering induced by electrostriction in gases ha
s been analyzed in the previously unexplored, free-molecule limit by solvin
g Boltzmann's equation with a periodic force due to the optical fields. Cal
culated and measured spectra of several gases at rarefied conditions are ne
arly Gaussian with widths approximately 10% wider than the spontaneous Rayl
eigh widths. Our results are the first spectrally resolved measurements of
coherent Rayleigh scattering in the free-molecule limit, where the hydrodyn
amic analysis of stimulated Rayleigh-Brillouin scattering does not apply.