Radial Structure in the Low Pressure Equilibrium Oxygen Discharge.

摘要

Radial structure of a diffusion controlled, equilibrium oxygen discharge is modeled and analytically solved by using a Bessel substitution. A Maxwellian electron energy distribution is assumed. The initial model consists of electrons, O(-), O2(-), and O2(+) ions in background O2 at 300 K. The reactions considered are dissociative attachment, associative detachment, and molecular ionization. The model is solved as a basic characteristic value problem for electron temperature. It is found that for a radius of 1.1cm at pressures of 0.2, 0.5, 1.0, and 5.0 torr, the equilibrium electron temperatures are 3.7, 2.2, 1.6, and 1.0 eV respectively; however, pR is not a scaling parameter. Results indicate that the O(-) ion is the numerically dominant negative charge carrier and that it diffuses radially inward. The analytic technique is further applied to a four species, four reaction model which contains the O2(-) ion produced by charge transfer. An analytic solution of these models demonstrates a simple analytic scheme which may be used to solve other discharge models which contain more than four accompanying reactions. (Author)