A model is developed for recombination dominated electronegative
plasmas which allows the electron temperature (Te) to be related to the
similarity variable pressure×plasma dimension (pL).
It is based on four relationships: (i) Te>Tec where Tec is given by
equating ionization and attachment rates; (ii) a relationship between the rate
coefficients for ionization, attachment and recombination (kiz, katt
and krec) and the central negative ion/electron density
ratio α0≡nn0/ne0 set by the ion fluxes at the centre;
(iii) a relationship between the attachment and recombination rates, katt
and krec, the electronegativity, α0, and X0, the fractional
size of the central negative ion-positive ion plasma, obtained by integrating
the negative ion flux; and (iv) a plasma balance equation between the
generation and loss rates and pL, effectively the integral of the positive
ion flux.
Since the underlying equations are nonlinear it is necessary to introduce
another parameter. This is chosen to be the ratio of the central electron
density (ne0) to the gas density (ng).
Detailed results are given for chlorine and comparison is made with simulation
and experiment in that, and other, gases.
The paper brings into correspondence two different recent
analytical/computational approaches to the subject.