Photon Energy Calculator

Use E = hf and E = hc/λ to convert between wavelength, frequency, and photon energy.

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Quantum Mechanics of Electromagnetic Radiation 🖖

The quantization of light dictates that photon energy is strictly inversely proportional to its wavelength, as governed by the Planck-Einstein relation E = hc/λ. This equation serves as the absolute foundation for spectroscopy and quantum physics. By isolating the frequency or wavelength variables, one determines the precise energetic state of an electromagnetic wave, enforcing the discrete, quantized nature of cosmic and subatomic interactions.

Why photon energy is measured in electron-volts 🖖

A single photon carries so little energy that joules give unwieldy numbers like 10⁻¹⁹ J, so physicists switch to the electron-volt (eV) — the energy one electron gains crossing a 1-volt gap. A handy shortcut hides inside E = hc/λ: with wavelength in nanometres, E(eV) ≈ 1240 / λ(nm). Plug in green light at 530 nm and you get about 2.3 eV per photon — right in the few-eV range that matches chemical-bond energies, which is exactly why our eyes evolved to see it.

One bright photon beats a billion weak ones 🖖

Einstein won his 1921 Nobel Prize not for relativity but for realising that light ejects electrons from metal only if each photon clears an energy threshold — a matter of wavelength, not brightness. A blazing red lamp will never release an electron that a faint ultraviolet glow frees instantly, because piling on more low-energy photons simply doesn't add up. It's the same reason UV light tans and damages your skin while a far more powerful radio transmitter leaves it untouched.

Example problems

  • Red light - Red light photons have lower energy than blue/UV photons.
  • Green light - Visible green (~530 nm) is around 2.34 eV per photon.
  • Ultraviolet - Shorter UV wavelengths carry significantly higher energy.
  • FM radio - FM radio photons have tiny energy despite huge photon counts.