A theoretical approach has been developed for computing collisional self-relaxation probabilities of the first excited level in the lowest vibrational mode of simple molecules. The bending (nu(2)) vibration in triatomic molecules, in which the average translational and rotational velocities are of the same order of magnitude, was examined. The approach was based on the assumption that both the velocities should be taken into account as a convolution of the corresponding Maxwells distribution functions. The model was checked for the SO2 molecule in the temperature range from 130-1100 K. The calculated temperature dependence curve (the Landau-Teller plot) exhibits a minimum at about 150 K. The data obtained is discussed in I elation to some experimental results. The comparison indicates that the problem was treated in con ect manner: Some additional aspects of the relaxation, like intermolecular interactions and the steric factor, are also briefly considered. It is believed that this approach offers guile a good basis for further improvements of theoretical treatments.12th Yugoslav Conference on General and Applied Spectroscopy, Oct, 1999, Belgrade, Yugoslavi