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Molecules and Crystals

Problem 6.180

6.180.6.180 . Find the ratio of intensities of the violet and red satellites, closest to the fixed line, in the vibration spectrum of Raman scattering by Cl2\mathrm{Cl}_{2} molecules at a temperature T=300 KT=300 \mathrm{~K} if the natural vibration frequency of these molecules is ω=1.06⋅1014 s−1\omega=1.06 \cdot 10^{14} \mathrm{~s}^{-1}. By what factor will this ratio change if the temperature is doubled?

Reveal Answer
Iv/Ir=exp⁡(−ℏω/kT)=0.067. Will increase 3.9 times. I_{v} / I_{r}=\exp (-\hbar \omega / k T)=0.067 . \text { Will increase } 3.9 \text { times. }
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