Electron Excitation Rates

Abstract

In Eq. (2.74) the electron–molecule excitation rates X _i were expressed in terms of the relevant cross section Q ⁱ(v) and the electron velocity distribution function f (that is, for i representing a mode of CO₂ or a species):

EquationSource% MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamiwamaaBa % aaleaacaWGPbaabeaakiaaygW7caGGOaGaamivaiaacYcacaWGfbGa % aiykaiaaygW7cqGH9aqpdaWdXaqaaiaadgfadaahaaWcbeqaaiaadM % gaaaGccaaMb8UaaiikaiaadAhacaGGPaGaamOzaiaacIcacaWG2bGa % aiilaiaadsfacaGGSaGaamyraiaacMcacaWG2bWaaWbaaSqabeaaca % aIZaaaaOGaaGzaVlaadsgacaWG2baaleaacaaIWaaabaGaeyOhIuka % niabgUIiYdaaaa!5587! ]</EquationSource><EquationSource Format="TEX"><![CDATA[$${X_i}(T,E) = \int_0^\infty {{Q^i}(v)f(v,T,E){v^3}dv} $$

(3.1)

where f is a function of the gas temperature T,the applied field E,and the relative velocity of the electron and molecule, and is obtained by solving the relevant Boltzmann equation. This equation is derived in the following section.