Skip to main content

LED Spectral Calculator

Calculate emission wavelength, spectral width, and pump absorption overlap for LED sources.

LED emission wavelength is set by the semiconductor band gap through λ ≈ 1240 / E_g (nm, eV), with the active material system determining which wavelengths are accessible — InGaN for 365–530 nm, AlGaInP for 530–650 nm, and InGaAs for the near-infrared. This calculator covers three spectral design problems. Wavelength from Band Gap converts an entered band gap energy to peak wavelength, photon energy, frequency, spectral region, and suggested material system. Spectral Width estimates the theoretical FWHM using the 1.8 k_BT thermal broadening approximation, reporting the result in THz, nm, and meV as a function of junction temperature. Pump Overlap computes the fraction of LED power falling within a narrowband absorption feature — useful for assessing LED pumping of rare-earth-doped fibers or laser gain media where spatial overlap with a narrow absorption line determines efficiency.

Band Gap → Wavelength
Emission Wavelength
Peak wavelength (λ)
469.7nm
Photon energy
2.640eV
Photon energy
4.230e-19J
Frequency
638.3THz
Identification
Color / Region
Blue
Material system
InGaN / GaN
Abridged Optics — LED Spectral Calculator v1.0Uses 2019 SI exact values for h, c, k_B.

All information, equations, and calculations have been compiled and verified to the best of our ability. For mission-critical applications, we recommend independent verification of all values. If you find an error, please let us know.