• Pixel-art sticker of Linewell, personifying 21 cm Line, with the caption “One Spin Flip, One Radio Hum.”

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Linewell

21 cm Line Physics

\[\lambda = \frac{c}{f}\]
Regular price $4.99 USD
Regular price Sale price $4.99 USD
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Meet Linewell, a hydrogen atom who hums a single radio note when his spin flips. That photon has a frequency of about 1420.4 MHz and a wavelength of about 21 cm. Predicted in 1944 and detected in 1951, it lets radio telescopes map the Milky Way's spiral arms. 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 Linewell, a hydrogen atom who hums a single radio note when his spin flips.

Both the proton and the electron in a hydrogen atom behave like tiny spinning magnets. The atom has slightly more energy when the two spins point the same way than when they point opposite ways. Occasionally the electron flips and the atom drops to the lower energy, giving out a radio photon.

That photon has a frequency of about 1420.4 MHz, so its wavelength is λ = c/f ≈ 3.0 × 10⁸ / 1.42 × 10⁹ ≈ 0.21 m, which gives the 21 cm line its name. A single atom waits on average about 10 million years before flipping.

There is so much hydrogen in space that the hum is still strong. Hendrik van de Hulst predicted it in 1944, and it was first detected in 1951.

Radio telescopes use the 21 cm line to map cold hydrogen gas through dust that blocks visible light, which is how astronomers traced the spiral arms of our Milky Way.

Equations

\[\lambda = \frac{c}{f}\]
Symbols
SymbolMeaningUnit
\(\lambda\) wavelength \(\mathrm{m}\)
\(c\) speed of light in vacuum \(\mathrm{m/s}\)
\(f\) frequency \(\mathrm{Hz}\)