Study on rotational energy transfer in diatomic molecules in the separable kernel approximation: An analytical approach

In this article, we present a new technique for determining the transition probabilities per collision using a set of transition rates per unit time. The problem is solved by introducing a normalization function, which is readily found from a recursion equation for the case of separable kernels. A classical approach to rotation of molecules allows the line-broadening coefficients, the moments of energy transfer, and the mean number of collisions to be calculated analytically in terms of the exponential energy-gap law.