Question

Starting from an expression for rotational term values show that |~v|= (4B- 6D) (J+(3/2)) - 8D(J+ (3/2))^3 for rotational Raman transitions of a diatomic or linear polyatomic molecule.

Answer 1

Solution:

The selection rule is applicable to diatomic (or) linear polyatomic molecule for the scattering of rotational raman spectra,

The transition state is negligible as they inflenced by intense rayleigh scaettering,

The raman and rayleigh scattering is shwon pictorially as below,

The magnitude resulting from raman displacement for the excited radiation is,

The centrifugal distortion yields,

The rotational term with centrifugal distortion yields,

for illustration the rotational raman spectrum for nitrogen molecule is represented below with appropriate branch labelling,