Photoelectric Effect

Also known as work function equation · einstein photoelectric

KEmax=EphotonϕKE_{max} = E_{photon} - \phi

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Shine light on a metal and electrons pop out — but only if the frequency is high enough, no matter how bright the beam. Einstein's 1905 explanation (his Nobel prize, not relativity) is bookkeeping with photons: one photon hands its hf to one electron, which spends φ escaping the surface and keeps the rest as kinetic energy. Below the threshold frequency f₀ = φ/h nothing emerges at all.

For cesium, φ ≈ 2.1 eV, so even dim blue light ejects electrons while intense red light does nothing — the observation that classical wave theory could never explain, and the operating principle of every photomultiplier tube.

Photoelectric Effect
KEmax=EphotonϕKE_{max} = E_{photon} - \phi
Where
  • ϕ\phi= Work function
  • EphotonE_{photon}= Photon energy
  • KEmaxKE_{max}= Max kinetic energy
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