All Problems

Molecules and Crystals

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 \(\omega=2.15 \cdot 10^{14} \mathrm{~s}^{-1}\)

Reveal Answer
λ=λ0/(1ωλ0/2πc)=423 and 387nm\lambda=\lambda_{0} /\left(1 \mp \omega \lambda_{0} / 2 \pi c\right)=423 \text { and } 387 \mathrm{nm}