1.

Find the ratio of intensities of the voilet and red satellites closest to the fixed line, in the vibraiton sopecturm of Raman scattering by Cl_(2) molecule at a temperature T= 300K if the natural Vibration frequency of these molecules is omega= 1.06.10^(14)s^(-1),. By what factor will this ratio change if the temperature is doubled?

Answer»

Solution :The violet satellite arise from the transition `1 rarr 0` in the vibrational STATE of the scattering molecule while the red satellite arise from the transition `0 rarr 1`. The intensities of these two transitions are in the RAITO of initial populations of the two states i.e., in the ratio
`e^(-ħomega//kT)`
THUS `(I_(v))/(I_(r ))=e^(-ħ omega//kT)=0.067`
If the temperature is doubled,the ratio INCREASES to `0.259`, an INCREASE of 3.9 times.


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