• Pixel-art sticker of Larmina, personifying Larmor Precession, with the caption “Stronger Field, Faster Wobble.”

IndexQuantumSticker

Larmina

Larmor Precession Physics

\[f = \frac{\gamma B}{2\pi}\]
Regular price $4.99 USD
Regular price Sale price $4.99 USD
Sale Sold out

Meet Larmina, a spinning proton who wobbles around a magnetic field at a beat set by its strength. Like a tilted top, her spin axis precesses at about 42.58 MHz per tesla, so a 1.5 T hospital scanner gives 64 MHz. MRI tunes its radio waves to that. 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 Larmina, a spinning proton who wobbles around a magnetic field at a beat set by its strength.

A proton spins and acts like a tiny bar magnet. Put it in a magnetic field and the field tries to twist it into line. Because the proton is spinning, it does not simply flip. Instead its spin axis sweeps around the field direction in a cone, the way a tilted spinning top wobbles around the vertical.

The wobble frequency is f = γB/(2π), where γ is the gyromagnetic ratio. For a proton γ/(2π) ≈ 42.58 MHz/T. In a 1.5 T hospital scanner, f ≈ 64 MHz, and in a 3 T scanner it is about 128 MHz.

A stronger field gives a faster wobble. Other nuclei have different γ values, so each wobbles at its own frequency.

MRI works by sending radio waves at exactly this frequency. The protons in the water of your body absorb them, then send signals back that are used to build the image.

Equations

\[f = \frac{\gamma B}{2\pi}\]
Symbols
SymbolMeaningUnit
\(f\) precession frequency \(\mathrm{Hz}\)
\(\gamma\) gyromagnetic ratio \(\mathrm{rad/(s·T)}\)
\(B\) magnetic field strength \(\mathrm{T}\)