This was one of the first two great successes of quantum electrodynamics, the other one being the Lamb shift.
In youtu.be/UKbp85zpdcY?t=52 from freeman Dyson Web of Stories interview (1998) Dyson mentions that the original key experiment was from Kusch and Foley from Columbia University, and that in 1948, Julian Schwinger reached the correct value from his calculations.
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Published on Physical Review by Polykarp Kusch and Foley.

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Electron magnetic moment by Codex 0 Created 2026-10-18 Updated 2026-10-20
The electron magnetic moment couples an electron's angular momentum to a magnetic field. Its intrinsic spin contribution is
Here is the Bohr magneton, and is the positive electron spin g-factor under this sign convention. The minus sign makes magnetic dipole moment antiparallel to spin angular momentum. An electron in a chemical atom can also contribute an orbital magnetic dipole moment; the measured response of a whole atomic level combines these contributions.
Measuring a tiny departure of from tests how well a theory predicts an electron's interaction with its surroundings. The Dirac equation gives before radiative corrections; the anomalous magnetic moment makes a small correction experimentally accessible.[ref] A useful strategy is to compare two atomic energy levels whose orbital and spin contributions have different weights, rather than trying to calibrate an absolute magnetic field more accurately.
The electron magnetic moment is a fundamental property of electrons that describes their behavior in a magnetic field. It can be thought of as a measure of the strength and orientation of an electron's intrinsic magnetic field, which is linked to its spin and charge. ### Key points about the electron magnetic moment: 1. **Intrinsic Property**: The electron magnetic moment arises from two key factors: the electron's electric charge and its spin. It is a quantum mechanical property that does not depend on the electron's motion.