Hydrogen Energy Levels Calculator

Calculate Hydrogen Electron Energy Level

Enter a positive integer representing the electron's energy level (n).
Calculation Results

The energy level (En) for n = is:

eV

Unlock the secrets of atomic structure with our Hydrogen Energy Levels Calculator. Quickly determine the electron energy for any principal quantum number (n) in a hydrogen atom, expressed in electron volts (eV). Ideal for students and physicists exploring quantum mechanics.

Formula:

The energy level (En) of an electron in a hydrogen atom is given by the formula derived from the Bohr model:

En = -13.6 eV / n2

  • En: The energy of the electron in the n-th orbit (in electron volts, eV).
  • -13.6 eV: The ionization energy of hydrogen, representing the ground state energy.
  • n: The principal quantum number, a positive integer (e.g., 1, 2, 3...) indicating the electron shell.

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