Blackbody Radiation Calculator
Wien's Law & Stefan-Boltzmann
Calculate peak wavelength and total power from blackbody temperature
Temperature from Peak Wavelength
Determine blackbody temperature from the observed peak emission wavelength
Formula
λ_max = b/T (Wien) | P/A = εσT⁴ (Stefan-Boltzmann) | b = 2.898×10⁻³ m·K | σ = 5.67×10⁻⁸ W/(m²·K⁴)
Frequently Asked Questions
What is Wien's displacement law?
Wien's law states that the peak wavelength of blackbody emission is inversely proportional to temperature: λ_max = b/T, where b ≈ 2.898×10⁻³ m·K. Hotter objects peak at shorter wavelengths — the Sun (5778 K) peaks at ~502 nm (green), while humans (310 K) peak at ~9.35 μm (infrared).
What is the Stefan-Boltzmann law?
The total power radiated per unit area is proportional to the fourth power of temperature: P/A = εσT⁴, where σ ≈ 5.67×10⁻⁸ W/(m²·K⁴) and ε is emissivity (1 for a perfect blackbody). Doubling temperature increases radiated power by 16×.
What is a blackbody?
A blackbody is an idealized object that absorbs all incident radiation and re-emits it in a characteristic spectrum determined only by its temperature. Real objects approximate blackbodies — stars, furnaces, and even the cosmic microwave background (2.725 K) follow blackbody curves closely.
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