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Blackbody Radiation Calculator

Calculate blackbody radiant power, peak wavelength, and spectral exitance using Stefan-Boltzmann and Wien displacement laws.

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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.