Cross section of interaction in Coulomb’s interaction model

The effective cross section is a physical quantity characterizing the probability of transition of a system of two interacting particles to a certain final state, a quantitative characteristic of the acts of collision of particles of a stream hitting a target with target particles. The effective cross-section has the dimension of the area. In a magnetron, this value can be calculated if you know the ionization energy of gas atoms.

Notation:

1. \(e\) (e) is elementary_charge.

2. \(\varepsilon_0\) (epsilon_0) is vacuum_permittivity.

cross_sectional_area_of_interaction

cross_section of the interaction of particles.

Symbol:

sigma

Latex:

\(\sigma\)

Dimension:

area

ionization_energy

Ionization energy of atoms in terms of voltage.

Symbol:

E_i

Latex:

\(E_\text{i}\)

Dimension:

voltage

law

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

Latex:

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