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Debroglio

Matter Waves Physics

\[\lambda = \frac{h}{p}\]
$21.99 USD
$21.99 USD
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Can a baseball be a wave? Debroglio says yes, technically. Louis de Broglie proposed in 1924 that every particle with momentum p has a wavelength λ = h/p. Electrons diffract through crystals, as Davisson and Germer saw, but a baseball’s wavelength is far too tiny to notice. Pixel-art black ceramic mug in 11 or 15 oz; equation, symbols and sources in the physics panel below.

Shipping calculated at checkout by destinationMade to order, ships in ~10 days

Details

Size & material11oz · 15oz

Black glossy ceramic mug with a C-handle. Lead- and BPA-free.

  • 11oz: 0.33 l
  • 15oz: 0.44 l
CareDishwasher & microwave safe

Dishwasher safe (top rack) or hand wash. Microwave safe.

ShippingBy destination

Shipping calculated at checkout by destination.

Made to order: about 10 days of production and handling before it ships.

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

De Broglie proposed that every particle has a wavelength equal to Planck's constant divided by its momentum. Electrons were later shown to diffract like waves, exactly as this predicts.

Debroglio waves at everyone. Everyone, technically, waves back.

In his doctoral thesis, published in 1925, Louis de Broglie proposed that if light waves carry momentum like particles, particles should have waves. The wavelength is Planck's constant divided by momentum, the equation on this mug.

For electrons it is easy to see. An electron accelerated through 54 volts has a wavelength of about 0.17 nanometres, comparable to the spacing of atoms in a crystal. In 1927 Clinton Davisson and Lester Germer fired electrons at a nickel crystal and saw them diffract, just like X-rays. De Broglie received the 1929 Nobel Prize.

EVERYTHING WAVES BACK. is true in principle. A baseball thrown at 40 metres per second has a wavelength of about 10⁻³⁴ metres, far smaller than an atomic nucleus. No experiment could ever see it, so baseballs behave as plain particles.

Debroglio keeps waving anyway. Small things notice.

Equations

\[\lambda = \frac{h}{p}\]
SymbolMeaningUnit
\(\lambda\) de Broglie wavelength \(\mathrm{m}\)
\(h\) Planck constant \(\mathrm{J·s}\)
\(p\) momentum of the particle \(\mathrm{kg·m/s}\)

Sources

  1. de Broglie (1925) Recherches sur la théorie des Quanta, Ann. Phys. (Paris) 10, 22
  2. Davisson & Germer (1927) Diffraction of Electrons by a Crystal of Nickel, Phys. Rev. 30, 705
  3. NobelPrize.org — The Nobel Prize in Physics 1929 (de Broglie)
  4. HyperPhysics — De Broglie Wavelength
  5. NIST CODATA 2022 — Planck constant h

Source De Broglie, L. (1925). Recherches sur la théorie des Quanta. Annales de Physique 10, 22–128.doi.org/10.1051/anphys/192510030022

Field notes

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