Blackbody Radiation Calculator
Calculate blackbody radiant power, peak wavelength, and spectral exitance using Stefan-Boltzmann and Wien displacement laws.
Blackbody Radiation Laws
An ideal blackbody emits electromagnetic radiation according to its absolute temperature. The Stefan-Boltzmann law gives total radiant exitance; Wien's displacement law gives the wavelength at peak spectral emission.
Stefan-Boltzmann Law
$$j^* = \sigma T^4$$With \(\sigma = 5.67 \times 10^{-8}\,\text{W/m}^2\text{K}^4\) and \(T\) in kelvin.
Wien Displacement Law
$$\lambda_{\max} = \frac{b}{T}$$With Wien constant \(b = 2.898 \times 10^{-3}\,\text{m·K}\).
Frequently Asked Questions
Can I enter Celsius?
Yes. Select Celsius and the calculator converts to kelvin before applying both radiation laws.
What is radiant exitance?
Radiant exitance \(j^*\) is total power radiated per unit surface area from a blackbody, in W/m².
Why does peak wavelength shift with temperature?
Hotter objects radiate more at shorter wavelengths. The Sun near 5800 K peaks in visible light; a room-temperature object peaks in the infrared.
Do real surfaces match a blackbody?
Real emitters are gray bodies with emissivity less than 1. Multiply \(j^*\) by emissivity for a practical estimate.