BLACK-BODY RADIATION

Classical physics predicted that a hot body must radiate infinite energy at short wavelengths, a result so absurd it earned the name ultraviolet catastrophe. The Rayleigh–Jeans curve shoots straight up, and only when Planck forced energy to come in discrete lumps did the spectrum bend back down to match experiment. The hotter the object, the further λmax slides toward the blue under Wien’s law while total output grows as T⁴: the Sun near 5800 K glows white, while the 2.7 K cosmic background barely whispers in the microwaves.

▸ Loading Planck curve B_λ(λ,T)…
▸ Building the glowing object emitting a continuous spectrum by temperature
▸ Calibrating Wien's law (λmax·T) & Stefan–Boltzmann (T⁴)
▸ Loading classical Rayleigh–Jeans prediction (ultraviolet catastrophe)
▸ Energy quantisation E = hf (Planck 1900)…
▸ Ready — Online. ✅
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⌂ Particle & Quantum

Simulation room Black-body Radiation & Planck Quantum

Black-body Radiation
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Planck spectrum · Wien · Stefan–Boltzmann · E=hf
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Temperature T—
Object colour—
Peak λmax (Wien)—
Peak spectral region—
Total energy ∝T⁴—
Note
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Drag the Temperature slider on the right → object changes colour & spectral peak shifts · choose scenarios to see Wien · T⁴ · UV catastrophe · star colours.
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Wien peak λmax & R/G/B intensity (temperature sweep) λmaxRGB
About Black-body Radiation

Classical physics predicted that a hot body must radiate infinite energy at short wavelengths, a result so absurd it earned the name ultraviolet catastrophe. The Rayleigh–Jeans curve shoots straight up, and only when Planck forced energy to come in discrete lumps did the spectrum bend back down to match experiment. The hotter the object, the further λmax slides toward the blue under Wien’s law while total output grows as T⁴: the Sun near 5800 K glows white, while the 2.7 K cosmic background barely whispers in the microwaves.

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