Energy of electron in hydrogen atom per Bohr

There is an expression for the total energy of the hydrogen atom according to Bohr’s theory.

Notation:

1. \(e\) (e) is elementary_charge.

2. \(\varepsilon_0\) (epsilon_0) is vacuum_permittivity.

Links:

1. Wikipedia, derivable from first formula and formula for kinetic energy.

energy

Electron energy.

Symbol:

E

Latex:

\(E\)

Dimension:

energy

radius

Electron radius.

Symbol:

r

Latex:

\(r\)

Dimension:

length

law

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

Latex:

\[E = \frac{e^{2}}{8 \pi \varepsilon_0 r}\]