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Quantum & Atomic Physics

Fine Structure

The small splitting of atomic spectral lines resulting from relativistic mass corrections and spin-orbit coupling.

Governing formula E_fine ~ α² E_n, α ≈ 1 / 137
SI unit eV (Energy Splitting)

In depth

Fine structure splits spectral lines by a factor proportional to the square of the fine-structure constant α ≈ 1/137. It is accurately predicted by the relativistic Dirac equation.

Examples in the real world

Splitting hydrogen spectral lines into closely spaced multiplets observable with high-resolution spectrometers.