Stern-Gerlach Experiment

Quantum spin discretization — silver atoms split into exactly two beams (1922)
Apparatus
Particle spin:
F_z = μ_z · ∂B/∂z = g_s · μ_B · m_s · ∂B/∂z
m_s = −s, −s+1, …, +s → 2s+1 beams
μ_B = eħ/2m_e = 9.274 × 10⁻²⁴ J/T
Detector Screen
In 1922, Gerlach sent silver atoms through an inhomogeneous field and found two spots — not a continuous smear. This proved that angular momentum is quantized and that silver atoms have spin-½ (one unpaired 4d electron).
Classical prediction: a continuous band. Quantum result: 2s+1 discrete lines. The experiment confirmed the quantum theory of angular momentum before spin was even fully theorized.