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.

..
    TODO: find link
    TODO: move to `magnetron` folder?

.. py:currentmodule:: symplyphysics.laws.chemistry.distance_of_greatest_convergence_of_particles_in_magnetron

.. py:data:: distance_of_convergence

    :attr:`~symplyphysics.symbols.classical_mechanics.euclidean_distance` of greatest convergence of two colliding particles.

Symbol:
    :code:`d`

Latex:
    :math:`d`

Dimension:
    :code:`length`


.. py:data:: discharge_voltage

    Discharge :attr:`~symplyphysics.symbols.electrodynamics.voltage`.

Symbol:
    :code:`V`

Latex:
    :math:`V`

Dimension:
    :code:`voltage`


.. py:data:: first_atomic_number

    :attr:`~symplyphysics.symbols.chemistry.atomic_number` of first atom.

Symbol:
    :code:`Z_1`

Latex:
    :math:`Z_{1}`

Dimension:
    :code:`dimensionless`


.. py:data:: second_atomic_number

    :attr:`~symplyphysics.symbols.chemistry.atomic_number` of second atom.

Symbol:
    :code:`Z_2`

Latex:
    :math:`Z_{2}`

Dimension:
    :code:`dimensionless`


.. py:data:: distance_constant

    Constant equal to :math:`0.122 \cdot 10^{-10} \, \text{m}`.

Symbol:
    :code:`d_0`

Latex:
    :math:`d_0`

Dimension:
    :code:`length`


.. py:data:: voltage_constant

    Constant equal to :math:`95.863 \, \text{V}`.

Symbol:
    :code:`V_0`

Latex:
    :math:`V_0`

Dimension:
    :code:`voltage`


.. py:data:: law

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


    Latex:
        .. math::
            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)