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Bohr Hydrogen Energy Level Calculator

E_n = −13.6 / n² for the hydrogen atom.

Compute the electron energy at orbital level n in a hydrogen atom from the Bohr model: E_n = −13.6 / n² eV. Reports energy in eV and joules and the corresponding orbital radius.

Dr. Helena Ortiz By Dr. Helena Ortiz
Published Last reviewed 1 min read

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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

E_n = −13.6 / n² eV; r_n = 0.529 · n² Å.

In depth

Compute the electron energy at orbital level n in a hydrogen atom from the Bohr model: E_n = −13.6 / n² eV. Reports energy in eV and joules and the corresponding orbital radius.