# Answer to Question #85469 in Classical Mechanics for Randy Hill

Question #85469

A simplified set of cross sections for Argon gas can be described as:

Elastic collision cross section Qel(E) = 1.59x10-19 m2 (E/E*) if E<E* = 11.55 eV

= 1.59x10-19 m2 sqrt(E*/E) if E>E* = 11.55 eV

Ionization cross section Qion(E) = 0 if E<Ei = 15.9 eV= 3.18x10-20 m2 log(E/Ei) (Ei/E) if E>Ei = 15.9 eV

Assuming a Maxwell-Boltzmann distribution function for electrons, plot the following quantities as a function of the electron temperature in a range from 1 to 10 eV for a plasma at 100 Pa and Tgas = 300K:

1) The average elastic collision frequency

2) The average ionization frequency

Elastic collision cross section Qel(E) = 1.59x10-19 m2 (E/E*) if E<E* = 11.55 eV

= 1.59x10-19 m2 sqrt(E*/E) if E>E* = 11.55 eV

Ionization cross section Qion(E) = 0 if E<Ei = 15.9 eV= 3.18x10-20 m2 log(E/Ei) (Ei/E) if E>Ei = 15.9 eV

Assuming a Maxwell-Boltzmann distribution function for electrons, plot the following quantities as a function of the electron temperature in a range from 1 to 10 eV for a plasma at 100 Pa and Tgas = 300K:

1) The average elastic collision frequency

2) The average ionization frequency

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