Photoelectric Effect

Also known as work function equation · einstein photoelectric

KEmax=Ephoton−ϕKE_{max} = E_{photon} - \phi
sig figs

Worked example: Sodium phi = 2.28 eV, 3.1 eV photon → KE = 0.82 eV. Press Try an example to run it live, then adjust anything.

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See also

Photon Energy (E = hf): Both use photon energy.Photon Energy from Wavelength (E = hc/λ): Both use photon energy.
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Photoelectric Effect explained

EphotonKEφ

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 formula

KEmax=Ephoton−ϕKE_{max} = E_{photon} - \phi
Where
  • ϕ\phi= Work function (J)
  • EphotonE_{photon}= Photon energy (J)
  • KEmaxKE_{max}= Max kinetic energy (J)
Revised 16 October 2026
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formula.expert. (2026, October 16). Photoelectric Effect Formula & Calculator. https://formula.expert/solvers/photoelectric-effect