Problem 6.178

Calculate the wavelengths of the red and violet satellites, closest to the fixed line, in the vibration spectrum of Raman scattering by $\mathrm{F}_ {2}$ molecules if the incident light wavelength is equal to $\lambda_ {0}=$ $=404.7 \mathrm{nm}$ and the natural vibration frequency of the molecule is $\omega=2.15 \cdot 10^{14} \mathrm{~s}^{-1}$