Hydrogen Energy Levels Calculator

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Hydrogen-like species with exactly one electron. Z is the number of protons; higher Z compresses energy levels by Z squared.
Single level: energy of one orbital. Transition: energy difference between two levels and the photon properties.
Positive integer 1, 2, 3 ... (n = 1 is the ground state). Energy approaches zero as n approaches infinity.
Electronvolts are standard in atomic physics; joules are the SI unit.
Energy (eV)
-13.605693eV

Electron energy at this level (always negative for bound states)

Ionization energy from this level13.605693eV
Level energy (eV)-13.605693
Ionization energy (eV)13.605693

Energy level n=1 for H (hydrogen, Z=1): -13.6057 eV

  • The electron is bound with 13.6057 eV of binding energy.
  • It takes 13.6057 eV to ionize H (hydrogen, Z=1) from this level.
  • This is the ground state, the lowest energy the electron can occupy.

Next stepSwitch to Transition mode to compute the photon wavelength when an electron drops from this level.

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