A new approach to derive symmetrized expressions of leading classical moments of spectral distributions characterizing different anisotropic terms of the interaction potential for the case of two liear molecules is presented. The results allow to calculate diffuse shapes formed by transitions between continuous eigenstates of a molecular pair and open the way to account for the nonMarkov effects (due to finite collision durations) in the rotatonal relaxation matrix of an arbitrary rank. The approach is also applied to the spectral moments of vector and tensor characteristics determining the band intensities in the collision-induced spectra of linear molecules. Generally, the use of symmetrized expressions lead to considerably faster computer codes.
Based on the diagrammatic techniques, a theory of the imaginary part of the isotropic polarizability induced by the dipole-dipole interactions between isotropically polarizable particles is elaborated. A classification of single infrared resonances corresponding to cases of the allowed and interaction-induced absorption bands is proposed. The Dipole-Induced-Dipole (DID) diagrammatic terms causing the allowed intensity variations via the reaction-field effect are analytically summed up. The thus-derived rigorous results are in conflict with the semi-empirical Onsager-Bottcher model. For the simplest reference systems (cryogenic solutions of HCl and HBr), our numerical estimations demonstrate the reaction-field contributions to observed intensity variations of vibrational bands to be weak and to become even weaker with a growth of the solvent particle dimensions that suggests the inadequacy of the DID and Onsager-Bottcher models to experimental data.
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