IndexKvantTee

Molassa

The Doppler Cooling Limit Physics

Ordinarie pris $29.99 USD
Ordinarie pris Försäljningspris $29.99 USD
Rea Slutsåld
Size
Color

Size guide S–5XL · inches

Molassa stands where six laser beams cross, and atoms freeze in her palm. Then they got colder than the rules allowed.

The Physics

In optical molasses, red-detuned laser beams from every direction slow a moving atom like friction, while random recoils from spontaneous emission heat it. For a simple two-level atom the balance sets a minimum temperature, the Doppler limit, best reached at detuning δ = −Γ/2. For sodium's D2 line that limit is about 235 μK.

k_B T_D = ħ Γ / 2

  • k_B: Boltzmann constant (J/K)
  • T_D: Doppler limit temperature (K)
  • ħ: reduced Planck constant (J·s)
  • Γ: natural linewidth of the transition (1/s)

In 1988 Lett, Phillips and co-workers measured sodium atoms at 43 ± 20 μK, far below the limit; Chu, Cohen-Tannoudji and Phillips shared the 1997 Nobel Prize in Physics.

Honest caveat: The Doppler limit is right for two-level atoms. Real atoms have many sublevels, and polarisation-gradient (Sisyphus) cooling beats it.

On the shirt

Front: Molassa, the pixel-art character, with the title. Back: the Doppler limit, the sodium numbers, the 1988 measurement, the Sisyphus explanation and the 1997 Nobel. Printed on a unisex tee.

Shipping calculated at checkout by destinationMade to order, ships in 2–5 business days

Details

Size & fitS–5XL

Unisex heavy cotton (Gildan 5000), classic fit.

Unisex tee size chart, inches
SizeWidthLengthSleeve
S182815.1
M202916.5
L223018
XL243119.5
2XL263221
3XL283322.4
4XL303423.7
5XL323525

För skalans skull: storlek M är 20 in (50.80 cm) bred, ungefär 3.143 × 1034 Plancklängder (lP = 1.616255 × 10−35 m). Ett måttband går snabbare.

Measurements in inches, ±1.5 in tolerance.

ShippingBy destination

Shipping calculated at checkout by destination. Printed to order for you.

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