
The Zeeman effect is the splitting of spectral lines in a magnetic field.In 1896, Dutch physicist Pieter Zeeman noticed that in a strong magnet, the yellow sodium line broadened and split into several components. Hendrik Lorentz promptly gave a classical explanation: the oscillations of electrons in an atom in a magnetic field become more complex, changing the radiation frequencies. Both received the Nobel Prize for this discovery. Later, quantum mechanics refined the picture by introducing electron spin — the 'anomalous' Zeeman effect appeared for an odd number of electrons.
In 1896, Pieter Zeeman discovered broadening and splitting of a sodium spectral line in a magnetic field. Hendrik Lorentz explained the effect within classical electrodynamics, predicting the polarization of the components. Both received the 1902 Nobel Prize for this discovery. A complete quantum description including spin was given later, eliminating discrepancies with the classical prediction (anomalous Zeeman effect).
The effect is used in spectroscopy to determine magnetic fields in plasma, stars, and interstellar medium. In MRI, superconducting magnets create fields of several tesla, splitting nuclear spin levels. It is applicable for weak fields as long as the Zeeman shift is smaller than spin-orbit interaction; in strong fields, the Paschen–Back effect occurs.
Measurement of magnetic fields in astrophysics, magnetic resonance imaging (MRI), spectroscopy, atomic clocks, laser cooling.
Sunspots are associated with strong magnetic fields: using the Zeeman effect, astronomers see their fields before detailed study of the spots.
| E | variable | magnetic energy of the moment — energy joule |
| \boldsymbol{\mu} | variable | magnetic dipole moment — magnetic dipole moment ampere square metre |
| \mathbf{B} | variable | magnetic field — magnetic field tesla |
| \cdot | operator | takes the scalar product of two vectors — dot product |














