Effects of pair resonant dipole-dipole interactions on the formation of band profiles in infrared absorption spectra

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Abstract
Resonant dipole-dipole interactions are shown to play a crucial role in forming the profiles of several bands in the fundamental and overtone regions of the vibrational spectrum for molecules with a relatively large first derivative of the dipole moment (P′>0.3 D). Analytic expressions are derived for the probability density of the matrix element for the interaction of one-and two-dimensional oscillators. We computed the band profiles in the infrared absorption spectrum for a pair of molecules at a fixed distance R ∼ 5 Å, typical of condensed media. Comparison is made with experimental data for low-temperature condensed systems: matrices and solutions in liquefied gases.