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Hydrogen Atom Energy Level from Principal Quantum Number Calculator

E_n = −13.6 eV / n² — Bohr model energy levels.

Calculates the energy level E_n = −13.6 eV / n² for hydrogen and the energy of a photon emitted/absorbed in a transition n_i → n_f.

Nadia Almasri By Nadia Almasri
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; ΔE = E_nf − E_ni

In depth

Calculates the energy level E_n = −13.6 eV / n² for hydrogen and the energy of a photon emitted/absorbed in a transition n_i → n_f.