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Quantum & Atomic Physics

Selection Rules

A set of quantum mechanical rules constraining allowed radiative transitions between atomic energy states.

Governing formula Δl = ±1, Δm_l = 0, ±1
SI unit Dimensionless Quantum Rules

In depth

Derived from the conservation of angular momentum during photon emission/absorption (since a photon carries intrinsic spin ℏ). Transitions violating selection rules are termed 'forbidden' and occur with vastly smaller probabilities.

Examples in the real world

Permitting an electron transition from 2p to 1s (Δl = -1), but forbidding a direct 2s to 1s dipole transition (Δl = 0).