Paritian

Heat & Fluids

Wien's Displacement Law Calculator

Wavelength at which a hot body radiates most strongly, with the matching frequency and photon energy.

Results

Wavelength 502.04 nm
Wavelength 0.50204 µm
Frequency 597.149 THz
Photon energy 2.46961 eV

What this tool does

Everything warm glows, and the hotter it is the shorter the wavelength it glows at. The default is the Sun's surface at 5772 K, which peaks in green light — right in the middle of what our eyes evolved to see. A person at 310 K peaks around 9 µm in the far infrared, which is the band thermal cameras are built for.

Formula

peak λ = b ÷ T (b = 2.897 771 955 × 10⁻³ m·K)

Variables

SymbolMeaningUnit
tTemperatureK
WLWavelengthnm
UMWavelengthµm
FFrequencyTHz
EVPhoton energyeV

Worked example

  • Temperature5772 K
  • Wavelength502.04 nm
  • Wavelength0.50204 µm
  • Frequency597.149 THz
  • Photon energy2.46961 eV

Limitations

  • The formula assumes ideal conditions: no friction losses, no air resistance and no efficiency losses unless you enter them.
  • The default values are typical reference figures, not measurements of your situation. Replace them with your own data whenever you have it.