• Pixel-art sticker of Dispersa, personifying Dispersion, with the caption “White In, Rainbow Out.”

IndexForces & FieldsSticker

Dispersa

Dispersion Physics

\[n = n(\lambda)\]
Regular price $4.99 USD
Regular price Sale price $4.99 USD
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Meet Dispersa, who takes white in and sends a rainbow out: glass bends violet light more than red because its refractive index is higher for shorter wavelengths. A prism fans white light into its colours, with violet bent most. 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 Dispersa, a prism who fans white light out into a rainbow.

Light slows down in glass, by a factor called the refractive index n. In most transparent materials n is not a single number: it depends on wavelength, usually being larger for shorter wavelengths. This is dispersion. Each colour is therefore bent by a different amount at a glass surface, and a prism, with its angled faces, spreads the colours apart.

In common crown glass n is roughly 1.51 to 1.53 across the visible spectrum, slightly higher for violet than for red. That small difference is enough for violet to bend most and red least.

Isaac Newton used prisms in the 1660s to show that white light is a mixture of colours. Rainbows come from dispersion in raindrops, and spectrometers use prisms or gratings to analyse light from stars and chemical samples.

Dispersion is also a nuisance. It makes simple lenses focus colours at different points, which lens designers correct by combining glasses. In optical fibres it smears out pulses, limiting data rates.

Equations

\[n = n(\lambda)\]
Symbols
SymbolMeaningUnit
\(n\) refractive index of the glass —
\(\lambda\) wavelength of the light in vacuum \(\mathrm{m}\)