Abstract

Radio recombination line intensities are functions of highly excited atom nonequilibrium populations. These populations are determined by the spontaneous, collision and induced radiation transition rates that arise from the balance equations. The population balance equations are solved in a diffusion approximation which is proved for the departure factors from LTE. Diffusion equation departure coefficients are far from LTE due to the spontaneous transition flow, found as a second-order differential equation general solution. This solution is chosen in an explicit form from a physical situation with the temperature and density determined. The background radiation induced transition rates strongly influence the population flow to the equilibrium distribution. Radio recombination line amplification coefficients are calculated for the different medium temperatures and electron densities; these coefficients permit interpretation of the line intensities in the actual experiments.

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