Inelastic transition probabilities transitional energy

Under some circumstances the rotationally anisotropy may be even further simplified for T-R energy transfer of polar molecules like HF (41). To explore this quantitatively we performed additional rigid-rotator calculations in which we retained only the spherically symmetric and dipole-dipole terms of the AD potential, which yields M = 3 (see Figures 1, 3, and 4). These calculations converge more rapidly with increasing N and usually yield even less rotationally inelastic scattering. For example Table 2 compares the converged inelastic transition probabilities... 

Quantum IQS Transition Probabilities and Wavefunctions. For the purpose of characterizing resonance energies and widths, the most easily analyzed result of the lOS calculations Is the vlbratlonally Inelastic transition probability between Initial CO vibrational... 

Table 2. Inelastic T R transition probabilities for full (M = 9) and truncated (M = 3) AD potentials as functions of relative translational energy...

Light that is scattered from a molecule is primarily elastically scattered that is, the incident and the scattered photons have the same energy. A small probability exists, however, that a photon is scattered inelastically, resulting in either a net gain or loss of energy of the scattered photon. This inelastic scattering, discovered by Raman and Krishna,1 allows fundamental molecular vibrational transitions to be measured at any excitation wavelength. 

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