Hydrogen Energy Levels Calculator

Hydrogen Energy Levels

Calculate the energy of an electron in a specific quantum state of a hydrogen atom.

Last updated: March 2026 | By ForgeCalc Engineering

Electron Energy (Eₙ)
-13.60
eV (Electron Volts)

Bohr Model of the Atom

The Bohr model depicts the atom as a small, positively charged nucleus surrounded by electrons that travel in circular orbits around the nucleus.

In the hydrogen atom, the energy levels are quantized, meaning electrons can only exist in specific energy states. The ground state (n=1) is the lowest energy level, and as n increases, the energy approaches zero (ionization).

The Formula

Eₙ = -13.6 eV / n²

Where n is the principal quantum number (1, 2, 3, ...). The negative sign indicates that the electron is bound to the nucleus.

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