Application of the second-order escape probability approximation to the solution of the NLTE vibration-rotational band radiative transfer problem

Physics

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Nonequilibrium Thermodynamics, Radiative Transfer, Rotational Spectra, Thermodynamic Equilibrium, Vibrational Spectra, Carbon Dioxide, Earth Atmosphere, Local Thermodynamic Equilibrium

Scientific paper

By the approximate solution of the integral equation for the source function in the 0(1)0-00(0)0 band of the (C-12)(0-16)2 molecule in the earth's atmosphere, a simple recurrence formula has been derived, which relates the values of this function for neighboring levels in the atmosphere. Beginning from the LTE layer, where the source function is equal to the Planck function and going from one level to the next, this formula allows the profile of the source function in the non-LTE layer (above 70 km) to be calculated with an error of about 5 percent for wide ranges of temperature and quantum survival probability variations.

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