Unit 4 · Atoms, Spin & Identity

Chapter17

Spin & the Stern–Gerlach Experiment

A tiny magnet that refuses to point anywhere in between

Quantum Academy · presented by Dr. Quincy Quantenstein

CH 17X–Y
Play lesson · 43 min
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Watch the lesson · Unit 4: Atoms, Spin & Identity

Spin & the Stern–Gerlach Experiment

A tiny magnet that refuses to point anywhere in between

  • ≈ 43 min
  • 54 scenes
  • Narrated by Dr. Q
  • Captions

Generated from the same script as the written lesson, so every word matches the text. Uses your device's voice when it has one; without one, the lesson plays silently with captions. Keys: Space play · ← → scenes · C captions · F full screen.

By the end you'll be able to

  1. Describe the 1922 Stern-Gerlach experiment and explain why two separated beams, rather than a smear, show that a component of an atom's angular momentum is quantized.
  2. Explain what spin is, why the electron cannot be a tiny spinning ball, and why a spin-one-half particle measured along any axis gives only +ħ/2 or −ħ/2.
  3. Predict the outcomes of chained Stern-Gerlach measurements, Z then Z, Z then X, and Z then X then Z, using the states |↑⟩, |↓⟩ and |+x⟩ = (1/√2)(|↑⟩ + |↓⟩).
  4. Calculate probabilities, expected counts and average spin components for a magnet tilted at any angle, using P(up) = cos²(θ/2).
  5. Explain why a 360-degree rotation reverses the sign of a spin-one-half state, and how neutron interferometers detected that sign.
  6. Compute magnetic resonance frequencies for electrons and protons, and explain how MRI and electron spin resonance put spin to work.