A simplified approach to describing the kinetic properties of impurity ions in a weakly ionized helium plasma

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Abstract

Using an approximate approach that is valid for a large ratio of the ion mass to the mass of the neutral particle, the mobility of O2+, N2+, O2-, and O4- ions was calculated in helium and good agreement was obtained with the available results of Monte Carlo calculations and experimental data at high values of the reduced electric field. This simplified approach was used to determine the average energy of O4- ions and the rate constants of dissociation of these ions in helium. The obtained ion characteristics were compared with the results of more accurate calculations using the Monte Carlo method. Good agreement has been obtained between these two approaches for the average ion energy, but for the dissociation rate constant the difference is quite significant, reaching an order of magnitude or more. It was shown that this difference is associated with the peculiarities of the energy distribution of ions for a large ratio of the ion mass to the mass of the neutral particle.

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N. L. Alexandrov

Moscow Institute of Physics and Technology; Gaponov-Grekhov Institute of Applied Physics, Russian Academy of Sciences; Higher School of Economics

Author for correspondence.
Email: nick_aleksandrov@mail.ru
Russian Federation, Dolgoprudny, 141701; Nizhny Novgorod, 603155; Moscow, 101000

A. A. Ponomarev

Gaponov-Grekhov Institute of Applied Physics, Russian Academy of Sciences; Higher School of Economics

Email: nick_aleksandrov@mail.ru
Russian Federation, Nizhny Novgorod, 603155; Moscow, 101000

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2. Fig. 1. Transport cross sections of ion scattering on He atoms depending on the energy of relative motion.

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3. Fig. 2. Reduced mobility of ions (a) and (b) in He depending on the reduced electric field. Solid curves – calculation by the Monte Carlo method [18], dashed curves – calculation based on formula (1), symbols – experiment [20].

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4. Fig. 3. Reduced mobility of ions (a) and (b) in He depending on the reduced electric field. Solid curves – calculation by the Monte Carlo method (calculation [19] for ions and calculation of this work for ions), dashed curves – calculation based on formula (1), symbols – experiment [20].

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5. Fig. 4. Total average energy Ei and energy of chaotic motion Ech of ions in He, calculated by the Monte Carlo method [16] (solid curves) and according to formulas (1) and (3) (dashed curves), depending on the reduced electric field.

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6. Fig. 5. The rate constant of ion dissociation (reaction (6)) on He atoms in pure helium and on O2 molecules in pure oxygen depending on the reduced electric field. Solid curves are calculations by the Monte Carlo method, dashed curves are approximate calculations of this work.

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7. Fig. 6. The rate constant of ion dissociation (reaction (6)) on He atoms in pure helium and on O2 molecules in pure oxygen depending on the effective temperature of ions Teff. Solid curves are calculations by the Monte Carlo method, dashed curves are approximate calculations of this work.

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8. Fig. 7. The ion distribution function (1) in pure helium (in the laboratory coordinate system) at E/N = 100 Td and the Maxwellian distribution function (2) corresponding to the same average ion energy Ei = 4.6 eV.

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