Volumetric ionization coefficient of neutral particles 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:

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