Simple analytical approximation for rotationally inelastic rate constants based on the energy corrected sudden scaling law

Abstract

We have recently demonstrated that the energy corrected sudden (ECS) scaling law of De Pristo et al. when conbined with the power law assumption for the basis rates kℓ→0∝[ℓ(ℓ+1)]−g can accurately fit a wide body of rotational energy transfer data. We develop a simple and accurate approximation to this fitting law, and in addition mathematically show the connection between it and our earlier proposed energy based law which also has been successful in describing both theoretical and experimental data on rotationally inelastic collisions.