Second-Order Calculation of Vibrational Energy Transfer

Abstract
A second‐order calculation of the vibrational energy transfer is performed within the framework of classical mechanics. The ratios of the second‐order to the first‐order energy transfer values are expressed as functions of two parameters ̃M and 2Lω / V0 . The dependence of these ratios on ̃M is linear, while the dependence of these ratios on 2Lω / V0 does not appear to be very sensitive. We conclude that the magnitude of the mass factor ̃M is the decisive factor over the validity of Rapp's first‐order calculation.