Distance of greatest convergence of particles in magnetron

The traveling atom moves towards the substrate in the magnetron. At the same time, it collides with gas atoms. The energy transfer coefficient in these collisions depends on the mass of the traveling atom and the mass of the gas atom. The distance of the greatest convergence of colliding particles can be calculated using the model of quasi-rigid spheres. The discharge voltage is the voltage between the cathode and the anode in the magnetron at which plasma occurs.

distance_of_convergence

euclidean_distance of greatest convergence of two colliding particles.

Symbol:

d

Latex:

\(d\)

Dimension:

length

discharge_voltage

Discharge voltage.

Symbol:

V

Latex:

\(V\)

Dimension:

voltage

first_atomic_number

atomic_number of first atom.

Symbol:

Z_1

Latex:

\(Z_{1}\)

Dimension:

dimensionless

second_atomic_number

atomic_number of second atom.

Symbol:

Z_2

Latex:

\(Z_{2}\)

Dimension:

dimensionless

distance_constant

Constant equal to \(0.122 \cdot 10^{-10} \, \text{m}\).

Symbol:

d_0

Latex:

\(d_0\)

Dimension:

length

voltage_constant

Constant equal to \(95.863 \, \text{V}\).

Symbol:

V_0

Latex:

\(V_0\)

Dimension:

voltage

law

d = -d_0 * (Z_1^0.0387 + Z_2^0.0387) * log(V / (V_0 * (Z_1 * Z_2)^1.4883))

Latex:
\[d = - d_0 \left(Z_{1}^{0.0387} + Z_{2}^{0.0387}\right) \log \left( \frac{V}{V_0 \left(Z_{1} Z_{2}\right)^{1.4883}} \right)\]