Fundamentals of Electric Propulsion: Ion and Hall Thrusters

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Fundamentals of Electric Propulsion: Ion and Hall Thrusters ( fundamentals-electric-propulsion-ion-and-hall-thrusters )

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118 Chapter 4 Excited neutrals are also produced by both the primary electrons and the tail of the Maxwellian distribution of the plasma electrons. The total number of exited neutrals produced in the discharge in particles per second is given by I*=none ve V+nonp vp V , (4.3-26) where is the excitation cross section. Again, the excitation cross section is averaged over the distribution in electron energies to produce the reaction rate coefficients in the brackets. The reaction rate coefficients calculated by averaging the ionization and excitation cross sections over the Maxwellian energy distribution are shown in Fig. 4-16 and listed in Appendix E. The rate of excitation is seen to exceed that of ionization for low electron temperatures (below about 9 eV). The ratio of excitation to ionization reaction rates for xenon is shown in Fig. 4-4. As previously described, at low electron temperatures, a significant amount of the energy in the discharge goes into excitation of the neutrals at the expense of ionization. This is one of the many reasons that the cost of producing an ion in ion thrusters is usually over ten times the ionization potential. For inert gas propellants commonly used in ion thrusters, the second ionization potential is on the order of twice the first ionization potential. For example, the first ionization potential of xenon is 12.13 eV, and the second ionization potential is 21.2 eV. DC electron discharges that have electron energies in excess of 21.2 V can produce a significant number of double ions. In addition, 10−13 10−14 10−15 10−16 10−17 10−18 Fig. 4-16. Ionization and excitation reaction rates averaged over a Maxwellian electron distribution in a xenon plasma. Excitation Ionization Reaction Rate (m3/s) 0 1 2 3 4 5 6 7 8 9 10 Electron Temperature (eV)

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