Problem of intercollisional correlation in vibration-rotation spectra of molecules

Mathematics

Scientific paper

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Absorption, Collision Parameters, Energy Bands, Line Spectra, Rotational Spectra, Vibrational Spectra, Mathematical Models, Rotational States, Spectrum Analysis, Statistical Analysis, Vibrational States

Scientific paper

The shapes of vibration-rotation bands are studied considering the statistical dependence between the moments of occurring of different collisions (intercollisional correlation). The expression for the shape of spectral lines has been obtained describing the influence of intercollisional correlation on the absorption in the frequency range near the centers of lines. Modeling of the distribution function for the intervals between adjacent collisions has been carried out. Numerical calculations of the absorption coefficient in the vibration-rotation bands of CO and N2O have been performed using the proposed model for the line shape. Comparison between calculated results and available experimental data for the absorption at high pressures shows that the present model can adequately explain molecular absorption in compressed gases.

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