Question

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 molecules at a temperature T = 300 K if the natural vibration frequency of these molecules is ω= 1.06.10¹⁴ s^-1 . By what factor will this ratio change if the temperature is doubled?

Answer 1

The violet satellite arises from the transition 1→0 in the vibrational state of the scattering molecule while the red satellite arises from the transition 0 → 1. The intensities of these two transitions are in the ratio of initial populations of the two states i.e. in the ratio

 

If the temperature is doubled, the rato increases to 0.259, an increase of 3.9 times.