Photon Energy Calculator (E = hf = hc/λ) in eV and Joules

A photon's energy depends only on its frequency, E = hf, or equivalently on its wavelength, E = hc/λ. This photon energy calculator converts a wavelength into energy in eV and joules, frequency, energy per mole and the number of photons a light source emits per second — useful for lasers, LEDs, photodiodes and phototransistors and photochemistry.

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Type in any field to change it. Press × on a value to calculate that field instead.

How to use the photon energy calculator

Enter the wavelength in nanometres. The calculator returns the frequency in THz, the photon energy in electronvolts and joules and the energy of one mole of photons. Enter the optical power of a source to find how many photons it emits each second. To go from energy to wavelength, clear the wavelength and enter the energy in eV.

Photon energy formula

E = h f = h c ÷ λ

E (eV) ≈ 1239.84 ÷ λ (nm)  ·  N = P ÷ E

h = 6.62607015 × 10⁻³⁴ J·s (Planck constant), c = 299,792,458 m/s and 1 eV = 1.602176634 × 10⁻¹⁹ J — all exact SI values.

Example

A 532 nm green laser with 1 mW output:

  • f = 299,792,458 ÷ 532 × 10⁻⁹ = 563.52 THz
  • E = 6.626 × 10⁻³⁴ × 563.52 × 10¹² = 3.7339 × 10⁻¹⁹ J = 2.3305 eV
  • Per mole: 224.9 kJ/mol
  • Photons per second = 0.001 ÷ 3.7339 × 10⁻¹⁹ = 2.678 × 10¹⁵

Photon energy of common light sources

Source Wavelength Frequency Energy Per mole
UV-C germicidal lamp 254 nm 1180.3 THz 4.881 eV 471.0 kJ/mol
UV-A / violet laser 405 nm 740.2 THz 3.061 eV 295.4 kJ/mol
Blue LED 450 nm 666.2 THz 2.755 eV 265.8 kJ/mol
Green laser 532 nm 563.5 THz 2.331 eV 224.9 kJ/mol
Red laser 650 nm 461.2 THz 1.907 eV 184.0 kJ/mol
Near-IR (sensors, remotes) 850 nm 352.7 THz 1.459 eV 140.7 kJ/mol
Near-IR LED 940 nm 318.9 THz 1.319 eV 127.3 kJ/mol
Telecom fibre 1550 nm 193.4 THz 0.800 eV 77.2 kJ/mol

Notes

  • Shorter wavelength means higher energy: UV-C photons (about 4.9 eV) can break chemical bonds, which is why they disinfect.
  • An LED’s forward voltage is roughly its photon energy in eV — a blue LED needs about 2.8–3.3 V, a red one about 1.8–2.2 V.
  • For a matter wave instead of light, use the de Broglie wavelength calculator.

Frequently asked questions

How do I convert wavelength to photon energy in eV?

E (eV) = 1239.84 ÷ λ (nm). A 532 nm green laser photon carries about 2.33 eV.

What is the energy of a photon in joules?

E = h f = h c ÷ λ, with h = 6.626 × 10⁻³⁴ J·s and c = 2.998 × 10⁸ m/s. A 532 nm photon has about 3.73 × 10⁻¹⁹ J.

How many photons per second does a 1 mW laser emit?

Divide the power by the photon energy. A 1 mW green laser at 532 nm emits about 2.7 × 10¹⁵ photons per second.

Why can't infrared light trigger some photodetectors?

A photon can only free an electron if its energy exceeds the material's band gap. Silicon (1.12 eV) responds up to about 1,100 nm; beyond that, detectors such as InGaAs are needed.

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