Free Photoelectric Effect Calculator

Calculate kinetic energy of emitted electrons using KE = hf - phi (Einstein's photoelectric equation).

nm
eV

Max Kinetic Energy

2.6599 eV

Photon Energy4.9599 eV
Threshold Wavelength539.1 nm

Max Kinetic Energy vs Photon Wavelength

Photoelectric Effect

Einstein explained that light consists of photons, each carrying energy E = hf. When a photon hits a metal surface, it can eject an electron if its energy exceeds the work function.

Formula

KE_max = hf - phi = (hc/lambda) - phi

where phi is the work function (minimum energy to free an electron). The threshold wavelength is lambda_0 = hc/phi.

Example Calculation

UV light at 250 nm hitting sodium (work function = 2.3 eV).

  1. 01E_photon = hc/lambda = (6.626e-34 * 3e8) / (250e-9)
  2. 02E_photon = 7.95e-19 J = 4.96 eV
  3. 03KE_max = E_photon - phi = 4.96 - 2.3
  4. 04KE_max = 2.66 eV
  5. 05Threshold: lambda_0 = hc/phi = 1240/2.3 = 539.1 nm

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