constant

fine structure constant

Fine-structure constant, about 1/137 — the strength of the electromagnetic interaction, a pure number.
Value
\(\alpha = 7.2973525693 \times 10^{-3}\)
4 related articles

Description

The fine-structure constant, denoted α, is a dimensionless fundamental constant that characterizes the strength of the electromagnetic interaction between charged particles. Its value is approximately 1/137.036, and it appears throughout quantum electrodynamics (QED), the quantum theory of light and matter. Because it is a pure number, it is independent of any system of units, making it a candidate for a truly fundamental constant of nature.

History

The fine-structure constant was introduced by Arnold Sommerfeld in 1916 to explain the fine splitting of hydrogen spectral lines. Its mysterious value, close to 1/137, has intrigued physicists ever since, including Paul Dirac and Richard Feynman, who called it 'one of the greatest damn mysteries of physics.'

How it works

In QED, α sets the probability amplitude for a charged particle to emit or absorb a photon. It determines the fine splitting of atomic energy levels (hence the name 'fine-structure'), the strength of the Coulomb force, and the rate of many electromagnetic processes. The constant is not truly constant: it 'runs' with energy scale due to quantum vacuum polarization, increasing slightly at higher energies, though at everyday energies it is effectively fixed at 1/137.

In practice

It is essential for precision calculations in atomic physics, quantum chemistry, and the design of high-precision instruments like atomic clocks and quantum sensors.

Fun fact

The fine-structure constant is so precisely measured that it is known to about 10 significant digits, yet its value cannot be predicted from any known theory — it must be measured from experiment.

Concept graph →

Related articles · 4

Atomic Physics2026-02-191 minarXiv:2602.17522express
Electron in a Molecule Weighed to the Tenth Decimal Place
An electron inside a molecule behaves like a tiny magnet, and its 'strength' can be measured with enormous precision. Physicists took the molecular ion HD⁺ — a nucleus made of a proton and a deuteron (heavy hydrogen), with a single electron circling around it — and placed it in a strong magnetic field of 4 teslas (roughly 80,000 times stronger than…
Quantum Physics2026-01-192 minarXiv:2601.13415express
Listening to the Beat of Two Nanostrings
Two taut strings plucked at the same time sound different if they are connected by a rubber band. Energy starts to flow from one to the other, and the pitch of the combined sound shifts slightly. Two nanomechanical bridges, microscopic beams etched into a crystal, behave much the same way.
Materials2026-01-181 minarXiv:2601.12399express
Magnetic Patterns on a Crystal
The crystal was cooled to minus 228 degrees Celsius, and a pattern emerged on its surface, like frost on a window. But it's not moisture that draws it; it's the magnetic field: tiny iron particles suspended in a liquid settle on magnetized regions, revealing their location. That's the method the researchers used. The pattern turned out to be two-tiered.
Materials2026-01-011 minarXiv:2601.00190express
Friction Vanishes Before Your Eyes
Two pieces of graphite rub against each other, and the resistance vanishes as if an invisible film of oil separated them. Previously, this was only seen under a microscope, on tiny contact patches.