• Black Diffraction physics hoodie, pixel-art crystal diffraction design, worn by a model, front close-up
  • Black Diffraction physics hoodie, pixel-art crystal diffraction design, worn by a model, back close-up
  • Black Diffraction physics hoodie, pixel-art crystal diffraction design, front view
  • Black Diffraction physics hoodie, pixel-art crystal diffraction design, back view
  • Black Diffraction physics hoodie, pixel-art crystal diffraction design, turning on a model
  • Black Diffraction physics hoodie, ΨP Pixelated Physics neck label
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Diffraction HoodieSPOTS WHERE THE ROWS AGREE | Pixelated Physics

Diffraction Hoodie – SPOTS WHERE THE ROWS AGREE | Pixelated Physics

$54.99 USD
$54.99 USD
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Shipping calculated at checkout. Free US shipping · $10 flat shipping outside the US.
Color
Black
Size
S–5XL
Made
To order · shipping times

Shine waves at a crystal and they scatter from every atom. In almost every direction the scattered waves cancel. The far-field diffraction pattern of a hexagonal crystal: spots on the reciprocal lattice, first Brillouin zone outlined. Pixel-art unisex hoodie in black; equation, symbols and sources in the physics panel below.

Color
Size

Size guideS–5XL · inches

Details

Size & fitS–5XL

Unisex Heavy Blend hoodie (Gildan 18500), classic fit.

SizeWidthLengthSleeve
S202733.5
M222834.5
L242935.5
XL263036.5
2XL283137.5
3XL303238.5
4XL323339.5
5XL343440.5

Measurements in inches. Width and length ±1 in, sleeve (from center back) ±0.75 in.

ShippingFree US

Free US shipping. $10 flat shipping outside the US.

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

Shine waves at a crystal and they scatter from every atom. In almost every direction the scattered waves cancel.

In a few directions they all add up, and those make bright spots. William Lawrence Bragg wrote the condition in 1913 as nλ = 2d sin θ. The modern form says the change in wavevector must equal a reciprocal lattice vector G.

The art is the exact intensity, the squared sum over every atom of a hexagonal crystal patch. The spots sit on the reciprocal lattice, which is hexagonal too. The faint ripples between them come from the patch having an edge.

The hexagon in the middle is the first Brillouin zone, the set of points closer to the origin than to any other spot.

Spots where the rows agree.

Equations

\[n\lambda = 2d\sin\theta\]
\[\mathbf{k} - \mathbf{k}_0 = \mathbf{G}\]
\[I(\mathbf{q}) \propto \Big|\sum_j e^{i\mathbf{q}\cdot\mathbf{r}_j}\Big|^2\]
SymbolMeaningUnit
\(n\) diffraction order \(\mathrm{1}\)
\(\lambda\) wavelength \(\mathrm{m}\)
\(d\) spacing between lattice planes \(\mathrm{m}\)
\(\theta\) angle between the beam and the planes \(\mathrm{rad}\)
\(\mathbf{k}_0, \mathbf{k}\) incoming and outgoing wavevectors \(\mathrm{m^{-1}}\)
\(\mathbf{G}\) reciprocal lattice vector \(\mathrm{m^{-1}}\)
\(\mathbf{q}\) scattering vector \(\mathrm{m^{-1}}\)
\(\mathbf{r}_j\) position of atom j \(\mathrm{m}\)

Sources

  1. Bragg & Bragg (1913) The Reflection of X-rays by Crystals, Proc. R. Soc. A 88, 428
  2. Friedrich, Knipping & Laue (1912) Interferenz-Erscheinungen bei Röntgenstrahlen, Sitzungsber. Bayer. Akad. Wiss., 303
  3. Ashcroft & Mermin, Solid State Physics (1976), Ch. 5–6
  4. Kittel, Introduction to Solid State Physics, Ch. 2
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Field notes

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