• Pixel-art sticker of Wienna, personifying Wien's Displacement Law, with the caption “Hotter Means Bluer.”

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Wienna

Wien's Displacement Law Physics

\[\lambda_{\max} T = b\]
Regular price $4.99 USD
Regular price Sale price $4.99 USD
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Meet Wienna, who knows red-hot is cooler than blue-white: the hotter a blackbody, the shorter the wavelength at which it glows brightest, λmax T = b. For the Sun's temperature of about 5772 K, the peak falls near 502 nm. Pixel-art kiss-cut sticker in 2, 3, 4 and 6 inches; equation, symbols and sources in the physics panel below.

Size
Surface

Flat $6 shipping worldwideMade to order, ships in 2–5 business days

Details

Size3″ × 3″

3″ × 3″ kiss-cut sticker.

Shipping

Flat $6 shipping on every order, worldwide, whatever's in it.

Delivery times & where we ship

Returns & replacements21 days

Every item is printed to order, so we can’t accept returns or exchanges for change of mind, or if you ordered the wrong size or colour.

Print defect, misprint, damage or the wrong item? We’ll send a free replacement, or a refund if you prefer. Report it within 21 days of delivery with a photo; no need to send it back.

Full refund & replacement policy

The physics

Meet Wienna, a flame that knows the hotter you are, the bluer you shine.

Any hot object, idealised as a blackbody, glows with a spread of wavelengths. Heat it up and two things happen: it gets brighter at every wavelength, and the peak of its spectrum moves to shorter wavelengths. Wilhelm Wien found in 1893 that the peak wavelength times the temperature is a constant: λ_max T = b, with b ≈ 2.898×10⁻³ metre-kelvins.

For the Sun's surface temperature of about 5,772 K, the peak is at about 502 nanometres, in the blue-green. A red-hot poker around 1,000 K peaks in the infrared near 2.9 micrometres, with only its short-wavelength tail visible as red.

Astronomers read star temperatures from their colours: red stars are cool, blue-white stars hot. Thermal cameras use the same idea at room temperature, where the peak is near 10 micrometres.

The peak's location depends on whether you plot per unit wavelength or per unit frequency, so 'the peak' is not unique. Real objects are not perfect blackbodies, and a candle flame's colour also comes from chemistry.

Equations

\[\lambda_{\max} T = b\]
Symbols
SymbolMeaningUnit
\(\lambda_{\max}\) wavelength of peak emission (per unit wavelength) \(\mathrm{m}\)
\(T\) absolute temperature \(\mathrm{K}\)
\(b\) Wien displacement constant (≈ 2.898×10⁻³ m·K) \(\mathrm{m·K}\)