By Kurt E. Shuler
Ionization in high-Temperature Gases
summary: Ionization in high-Temperature Gases
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Iovitsu-Popescu,99 from a resonanttransfer viewpoint, has estimated a charge transfer distance of about ten times the atomic radius.
For example, the scattered electron wave can be expanded as a series of partial waves. Each one is a spherical harmonic having its own phase shift % by which, at large distances from the scatterer^ it differs from an "unscattered11 wave originating at the same point. l£L) and in scattering by random molecules of a gas, the scattering amplitude f = f(0) only. U3) The scattering amplitude and individual phase shifts can be found by direct numerical integration or by a variety of approximate methods.
The results are indendent on the form of the potential curve for H2~; two approximations representing H2~ as having a shallow well and large equilibrium separation give results agreeing in general shape and magnitude with the observed cross section reported by Schulz. Two maxima appear for which both H and H~ are in their ground states. ^« Crudely, this arises from the perturbation due to the slight inability of the electrons in state I to follow the nuclei perfectly. Conway27 has estimated the detailed relationship between the 02 and 02" potential curves; he places the ground vibrational state of 02 between the second and third excited states of 02"*, that computed collision numbers for deactivation are well above experimental lower limits (Calculated: several hundred with 02, CH^, CgE^ or C02, and several thousand or more with He or N2), and that the probability for the reverse process 02 + 02"" -» 202 + e~ ^s about 8 x 10-7 per collision.