Interaction cross section in Coulomb’s interaction model¶

In a magnetron, the effective cross section of particle interaction can be calculated via the ionization energy of gas atoms. See Effective cross section.

Notation:

\(e\) (e) is elementary_charge.
\(\varepsilon_0\) (epsilon_0) is vacuum_permittivity.

interaction_cross_section¶: cross_section of the interaction of particles.

Symbol:: sigma
Latex:: \(\sigma\)
Dimension:: area

ionization_energy¶: Ionization energy of atoms expressed in voltage.

Symbol:: E_i
Latex:: \(E_\text{i}\)
Dimension:: voltage

law¶

sigma = e^2 / (2 * pi * epsilon_0^2 * E_i^2)

Latex:: \[\sigma = \frac{e^{2}}{2 \pi \varepsilon_0^{2} E_\text{i}^{2}}\]