We derive the analytical solution of the Boltzmann equation for the stationary electron distribution function that is reached in a plasma generated on the application of a uniform Very high-frequency electric field in an atomic gas. Thetheory includes all excitation transitions: ionization and electronic transitions. The analytic solution is also extended to continuous discharges with low electric field or high pressure in the gas. Then the electron rate coefficient for excitation of the first state (which is the most significant) is'calculated analytically. We apply the result's to the modelling of very high-frequency argon discharges and to high-pressure continuous discharges in argon and hr sodium. The results are compared with numerical results of Fefreira and co-workers for argon and of LaVefne for sodium" in both cases we'find good agreement between numerical and analytical approaches.
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