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Photoelectric Effect Simulation

Reading time: 6 minConfidence: HighLast verified: July 2026

This simulation lets you shine light of adjustable frequency and intensity onto a chosen material and observe whether electrons are ejected, and with what kinetic energy, illustrating Einstein's 1905 explanation of the photoelectric effect.

Interactive simulation

Photon energy: eV
Work function: eV
Max KE of electron: eV
Stopping voltage: V
Electrons ejected:

The physics behind this simulation

Einstein's 1905 explanation (for which he received the 1921 Nobel Prize in Physics) treats light as a stream of discrete photons, each carrying energy E = hf, where h is Planck's constant and f is the light's frequency. When a photon strikes the material's surface, it can transfer its entire energy to a single bound electron. If that energy exceeds the material's work function Φ — the minimum energy needed to free an electron from the material's surface — the electron escapes with leftover kinetic energy:

KE_max = hf − Φ
Common mistakeIncreasing light intensity increases the number of photons per second, and therefore the number of ejected electrons per second — but it does not increase each electron's kinetic energy. Only increasing the frequency (energy per photon) can increase KE_max. This was the key experimental fact that classical wave theory could not explain, and that Einstein's photon hypothesis explained immediately.

The stopping voltage V_stop is the reverse voltage needed to stop even the fastest ejected electrons from reaching a collector, and is related to the maximum kinetic energy by eV_stop = KE_max, making it directly and easily measurable in the lab — historically the primary experimental method used to confirm Einstein's equation and measure Planck's constant independently of blackbody radiation experiments.

Sources

  • Einstein, A. (1905). "Über einen die Erzeugung und Verwandlung des Lichtes betreffenden heuristischen Gesichtspunkt." Annalen der Physik, 17(6), 132–148.
  • Millikan, R.A. (1916). "A Direct Photoelectric Determination of Planck's h." Physical Review, 7(3), 355–388 — the definitive experimental confirmation.
Last verified: July 2026 · Source: Einstein (1905); Millikan (1916) · Confidence: high