Populations of Highly Excited Carbon Accounting for Dielectronic Recombination Process

Intensities of carbon radio recombination lines are analytically described as function of line number, temperature and medium concentration. Accounting for the process of dielectronic recombination the balance equations for highly excited carbon populations as b _n-factors are solved by the diffusional approximation. To determine medium temperature and density with the experimental amplification coefficients the system of boundary condition equations is formulated as . Analytically found in the range of temperatures T _e = 25-100, 10⁴ K the line amplification coefficients are compared with the numerical solutions. By the method of radio lines intensity ratio of carbon for the observations at frequencies 34.5–25 MHz the density magnitudes are calculated towards Cassiopeia A as function of temperature. This revised version was published online in July 2006 with corrections to the Cover Date.