Coefficient of volumetric ionization of neutral molecules by electrons

At a certain voltage, the gas discharge becomes independent. To find this voltage, it is necessary to know the (volumetric) ionization coefficient. And it, in turn, depends on the energy distribution of electrons and can be approximated by the expression below.

Links:

  1. StudFiles, formula 1.12.

ionization_coefficient

ionization_coefficient of the gas.

Symbol:

alpha

Latex:

\(\alpha\)

Dimension:

1/length

first_constant

The first gas constant used in this model.

Symbol:

A

Latex:

\(A\)

Dimension:

1/(length*pressure)

second_constant

The second gas constant used in this model.

Symbol:

B

Latex:

\(B\)

Dimension:

voltage/(length*pressure)

pressure

pressure of the gas.

Symbol:

p

Latex:

\(p\)

Dimension:

pressure

electric_field_strength

electric_field_strength.

Symbol:

E

Latex:

\(E\)

Dimension:

voltage/length

law

alpha = A * p * exp(-B * p / E)

Latex:
\[\alpha = A p \exp{\left(- \frac{B p}{E} \right)}\]