Distribution over vibrational levels of molecules formed in chemical reactions

The harmonic oscillator model is used in the derivation of general functions describing the distribution of molecules with excited vibrational levels formed as a result of chemical reactions. Allowance is made for the vibration-vibrational (v–v) exchange and vibration-translational (v–T) relaxation. Specific reactions are considered and it is shown that the formulas obtained can be used to calculate the population inversion density and unsaturated gain for any vibration-rotational transition of a laser-active molecule.