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The EEDF, f(ε), obtained from (5.17) is then used to compute reaction rate coefficients, ki, for electron-impact reactions: ∞ 2ε1/2 f(ε) m σ(ε)dε (5.18) 0 Here ε is the electron energy in eV and σ(ε) is the electron-impact cross section. A database of cross sections for any given input reaction is accessed in GlobalKin for this computation. For gas phase reactions, the Arrhenius equation is used to compute the rate coefficient, shown in Equation 5.19 where A is the pre-exponential factor, Ea is the activation energy, and b is the gas temperature exponent, all empirically derived [102]. The factor Ru is the universal ideal gas constant. GlobalKin accesses a database of the empirical factors for computation. k(Tg) = ATgn · exp (−Ea/RuTg) , (5.19) Using this information, the Boltzmann module generates a table of values for average electron energy, reaction rate coefficients, and transport coefficients for a range of reduced electric field (E/N) values which are imported to GlobalKin for further calculations. Since the gas composition can be constantly changing and affecting the EEDF, the Boltzmann solver is invoked at specific user-defined intervals throughout the computation to maintain an updated EEDF for each computation. The differential equations can now be solved using the ODE solver described here [9]. 5.5.2 CO2 Microwave Plasma Model The Ar/CO2 experimental discharge can be modeled in GlobalKin using 26 different neutral, charged, and excited species of Ar, CO2, O, O2, O3, CO, and C. To correspond with these species, there are 201 reaction equations of electron-impact and gas phase reactions, shown in Appendix B. Given the importance of vibrationally excited species, ki = 103PDF Image | CO2 Conversion in a Microwave Plasma Catalyst System
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