Energy of electron in hydrogen atom per Bohr
============================================

In the Bohr's model of the Hydrogen atom, the electron is viewed as moving along a circular orbit
around the nucleus (which was further generalized onto elliptical orbits by Sommerfeld). In the
circular case, the energy of the atom can be expressed directly as a function of the electron's
orbit radius.

**Notation:**

#. :math:`e` (:code:`e`) is :attr:`~symplyphysics.quantities.elementary_charge`.
#. :math:`\varepsilon_0` (:code:`epsilon_0`) is :attr:`~symplyphysics.quantities.vacuum_permittivity`.

**Links:**

#. Formula 13.8 on p. 71 of "General Course of Physics" (Obschiy kurs fiziki), vol. 5, part 1 by
   Sivukhin D.V. (1979).

..
    TODO: find English link

.. py:currentmodule:: symplyphysics.laws.chemistry.electrochemistry.energy_of_electron_in_hydrogen_atom_per_bohr

.. py:data:: energy

    :attr:`~symplyphysics.symbols.basic.energy` of the Hydrogen atom.

Symbol:
    :code:`E`

Latex:
    :math:`E`

Dimension:
    :code:`energy`


.. py:data:: radius

    :attr:`~symplyphysics.symbols.classical_mechanics.radius` of the electron's orbit.

Symbol:
    :code:`r`

Latex:
    :math:`r`

Dimension:
    :code:`length`


.. py:data:: law

    :code:`E = e^2 / (8 * pi * epsilon_0 * r)`


    Latex:
        .. math::
            E = \frac{e^{2}}{8 \pi \varepsilon_0 r}