constant

bohr magneton

Bohr magneton, the natural unit of electron magnetic moment.
Value
\(\mu_B = 9.2740100783 \times 10^{-24}\)joule per tesla
48 related articles

Description

The Bohr magneton is the natural unit for measuring the magnetic moment of an electron. It quantifies the strength of the electron's intrinsic magnetic dipole, which arises from its spin and orbital motion. This constant is fundamental in understanding magnetism at the atomic scale, from electron spin resonance to the magnetic properties of materials.

History

The concept was introduced by Wolfgang Pauli in 1920, who proposed it as a natural unit for atomic magnetic moments, building on earlier work by Niels Bohr and others on the magnetic properties of atoms.

How it works

The Bohr magneton is defined as μ_B = eħ/(2m_e), where e is the elementary charge, ħ is the reduced Planck constant, and m_e is the electron mass. It represents the magnetic moment of a single electron with one unit of orbital angular momentum. The electron's spin contributes a magnetic moment of approximately one Bohr magneton (with a small correction due to quantum electrodynamics). In an external magnetic field, the energy of an electron's magnetic moment splits into discrete levels—the Zeeman effect—with energy spacing proportional to the Bohr magneton times the field strength.

In practice

It is used in electron spin resonance (ESR) spectroscopy to identify free radicals and transition metal ions, and in the design of magnetic storage devices and quantum sensors.

Fun fact

The electron's magnetic moment is slightly larger than one Bohr magneton—about 1.001159652—a deviation that was a key test of quantum electrodynamics and led to the most precise prediction in physics.

Concept graph →

Related articles · 48

Magnetic Resonance Without a Microscope: A New Theory for Living Tissue
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Materials2026-08-192 minarXiv:2608.18909
A Magnetic Score from Ions: How Irradiation Rewrites the Notes of CrSBr
In the layered crystal CrSBr, the magnetic moments of atoms are arranged like notes in a score: within each layer they point in the same direction, but between layers they point in opposite directions. This antiferromagnetic melody plays up to 132 kelvin, beyond which thermal motion destroys the order.
Atomic Physics2026-08-181 minarXiv:2608.17576express
A Clock and an Interferometer in One Beam
The two states of a strontium atom are like twins running down the same track, but one is slightly higher than the other. Usually, the light used to manipulate atoms pushes one twin harder and the other more weakly. Here, they chose a wavelength of 813 nanometers—'magic'—where both get the same kick.
HEP Experiment2026-08-172 minarXiv:2608.16076express
Rare Decay of an Invisible Particle
Among the debris of particle collisions, short-lived 'guests' sometimes appear — hyperons. One of them, Σ0, lives for less than one ten-billionth of a second and decays on the fly. Catching it directly is nearly impossible, but its traces can be spotted: it leaves behind another particle, Λ, and an electron-positron pair.
Atomic Physics2026-08-112 minarXiv:2608.11439express
A Magnetic Shield for Hunting the Electron's Asymmetry
The magnetic field in this setup must be as smooth as glass: the slightest ripple would blur the signal. The engineers built two coils that cancel each other's field externally and packed them in three layers of ferromagnetic plates.
General Relativity2026-08-042 minarXiv:2608.03320express
A Magnetic Leash for Particles Near a Black Hole
A black hole is not a vacuum cleaner. By itself, it doesn't pull everything in more strongly than an ordinary star of the same mass. But if there's a magnetic field nearby and charged particles flying around, an interesting game begins.
General Relativity2026-08-032 minarXiv:2608.02742express
How Quanta Carry Away Spin from Stellar Pairs
Two stars circle each other, gradually drawing closer. Their dance loses energy, and that energy escapes into space — in the form of gravitational waves, and sometimes other fields.
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Methane Dwarf Beacon: Cutoff Frequency Reveals Magnetic Field
Radio astronomy began with the mysterious noise caught by the antenna of Karl Jansky and the rhythmic pulses that Jocelyn Bell Burnell playfully called 'little green men'.
Quantum Physics2026-07-181 minarXiv:2607.16701express
How to Catch the Thermal Glow of Emptiness
If you accelerate an observer to near-light speed, the emptiness around them stops being cold. A thermal glow emerges — an effect predicted in 1976 and named after William Unruh. For earthly accelerations, this glow is vanishingly faint, like a whisper at a rock concert.
HEP Lattice2026-07-122 minarXiv:2607.10606express
The Neutron's Electric Compass
The neutron is one of the most neutral particles in nature. But if you add a special parameter to the laws of physics, called the theta term Standard Model, a tiny charge imbalance appears inside the neutron. One edge becomes slightly positive, the other slightly negative.
Strongly Correlated2026-07-072 minarXiv:2607.05858express
How Magnetic Order Fluctuations Alter the Surface Signal
A guitar string keeps vibrating even after the musician lets it go, and that vibration changes the sound the listener hears. Magnetic moments in a crystal behave much the same way: they align into a strict antiferromagnetic order (neighbors point in opposite directions), but they never completely freeze.
Plasma Physics2026-07-052 minarXiv:2607.04437express
Magnetic Fields from Cosmic Ripples
In the vast clouds of rarefied gas that fill the space between stars, something is always churning. Supernova explosions, colliding streams — all of it shakes the plasma. And in this rippling, as it turns out, hides the mechanism that gives birth to magnetic fields. Plasma is a gas in which electrons are stripped from atoms.
Quantum Physics2026-06-181 minarXiv:2606.19978express
Tiny Crystal Measures Temperature and Magnetic Field Simultaneously
A tiny defect in a boron nitride crystal behaves like a microscopic indicator bulb. Shine light on it, and it glows, with the shade shifting with temperature: the warmer it gets, the redder the glow.
HEP Experiment2026-06-151 minarXiv:2606.17323express
The Muon Pendulum Swings Its Last
In a giant ring of magnets outside Chicago, muons whirled like figure skaters on an ice rink. But instead of music, there's a magnetic field, and instead of spinning, there's a barely perceptible wobble of the spin. Physicists call this wobble the anomalous magnetic moment.
Materials2026-05-232 minarXiv:2605.24320express
Magnetic Dualism in a Crystal
A translator works in two worlds at once: to an outside observer, they are silent and unobtrusive, but inside their mind, a flurry of activity unfolds along clear lines of meaning. Altermagnets, a recently discovered class of magnetic materials, are much the same.
General Relativity2026-05-211 minarXiv:2605.21910express
How a Black Hole’s Magnetic Tilt Creates Matter
Many black holes are surrounded by magnetic fields. As it spins, the black hole drags curved spacetime along with it, like a machine's flywheel, and sets the cosmic factory in motion.
High Energy2026-05-212 minarXiv:2605.22921express
Magnetic Swings of Neutron Stars
A neutron star is a sphere the size of a city but with the mass of an entire Sun. Its magnetic field can tear atoms apart from thousands of kilometers away. Yet until now, it was a mystery how this field is arranged inside: whether it is twisted into tight ropes or more like neat lines radiating from the poles.
HEP Phenomenology2026-05-202 minarXiv:2605.21281express
Magnetic Hunters for Galaxies
An ordinary magnet always carries two poles — north and south. Split it in half, and each piece immediately grows its own pair. But deep in particle theory lives a strange notion: the monopole — a particle carrying just one magnetic charge, a lone pole without a partner.
Quantum Physics2026-05-032 minarXiv:2605.08148express
Echo of the Void: How to Catch the Invisible
A palm hovering over a hot stove feels the heat even when the surrounding air seems cool. Something similar happens to electrons in the Aharonov–Bohm effect: the particle senses an electric voltage even though it enters a region where the field has already been switched off.
Nuclear Experiment2026-04-271 minarXiv:2604.24220express
Stretching a Deuterium Nucleus with Light
A drop of water stretches in a strong electric field. The deuterium nucleus, a bound pair of a proton and a neutron, behaves the same way, except here the field comes from a passing gamma ray, and instead of just stretching, the nucleus can simply fall apart.
General Relativity2026-04-102 minarXiv:2604.09828express
How Gravitational Waves Test Black Holes for 'Purity'
When two black holes spiral around each other and merge, they send ripples across the universe — gravitational waves. These waves carry the imprint of exactly how the objects moved before the collision. From the shape of this 'dance,' you can tell how closely the objects resemble perfect black holes.
Applied Physics2026-03-281 minarXiv:2603.27390express
Magnetic Field Splits a Transition in an Alloy
A piece of europium-indium alloy, when cooled in a magnetic field, behaves like water that does not freeze all at once but first in one corner of the glass, then in another.
Materials2026-03-261 minarXiv:2603.25429express
Magnetic Cold: Measuring Cooling with a Single Device
The magnetic refrigerator of the future won't hum with a compressor. Instead, it will cool your groceries by exploiting a special material that heats up in a magnetic field and cools down when the field is removed. This cycle resembles the compression and expansion of gas in a conventional fridge, but here a magnet does the work of a piston.
Atomic Physics2026-03-261 minarXiv:2603.25781express
Light Twisted into a Spiral Catches Magnetic Fields
You can make a light beam look like a flower with several petals. If you send such a beam through a cloud of cold rubidium atoms and switch on a magnetic field, the petals start to rotate. The angle of rotation is directly linked to the field's strength.
Strongly Correlated2026-03-221 minarXiv:2603.21423express
Magnetic Glue Alters Current
In a crystal made of europium, zinc, and phosphorus, electric current behaves like a car on a bumpy road. Electrons don't run freely but drag magnetic clouds, polarons, behind them.
HEP Experiment2026-03-131 minarXiv:2603.13593express
Neutrinos in Argon: How Ghost Particles Give Away Their Secrets
Neutrinos are tiny particles that zip through Earth, barely noticing it. In the MicroBooNE experiment, they are caught in a tank of liquid argon. When a neutrino strikes an argon nucleus, it produces an electron and protons, like splashes from a stone thrown into water.
Atomic Physics2026-03-072 minarXiv:2603.06988express
Atoms Measure Their Own Magnetic Field
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HEP Phenomenology2026-03-071 minarXiv:2603.07010express
Strongly Correlated2026-03-041 minarXiv:2603.03635express
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In a solid, atoms vibrate, transmitting sound. Sometimes this wave doesn't run straight but curls into a spiral, like a corkscrew entering a cork. In ordinary crystals, such 'sound vortices' are known, but in magnetic materials they had long eluded detection.
Strongly Correlated2026-03-021 minarXiv:2603.02431express
Magnetic Fingerprint: How to See Quantum Jitter
A fridge magnet sticks because the tiny atomic arrows inside it are aligned in one direction. But quantum mechanics makes these arrows jitter, so the overall magnetization falls short of the ideal.
Materials2026-02-272 minarXiv:2602.23682express
Magnetic Knot in a Rubber Beam
An ordinary rubber strip filled with fine iron filings doesn't just bend in a magnetic field: it ties itself into a stable knot. This effect was predicted and reproduced in experiments by physicists working with magnetoactive elastomers: a silicone base with carbonyl iron particles.
Nuclear Experiment2026-02-242 minarXiv:2602.20828express
The Deuteron's Electric Dipole Moment: Hunting for Asymmetry
The nucleus of deuterium, or the deuteron, can be pictured as a microscopic spinning top. If its charge distribution is not perfectly symmetric, then in an external electric field this top experiences a minuscule tilt of its spin axis.
Materials2026-02-141 minarXiv:2602.13924express
Stretching a crystal changes its sound
The crystal Ca2RuO4 resembles a stack of thin sheets. Inside each sheet, the electron spins are arranged in strict order, like rows of soldiers on a parade ground. The bonds between the sheets are weak, and their sign can be flipped by slightly pulling the crystal apart.
Atomic Physics2026-01-311 minarXiv:2602.00713express
The Warped Electron: How to Listen to an Inaudible Note
A tuning fork rings dully when it strikes a crack. That principle scales up in this experiment: physicists turned molecules into an ultrasensitive tuning fork to eavesdrop on the electron's asymmetry.
Materials2026-01-291 minarXiv:2601.21810express
How a Polaron Is Born: The Dance of Electron and Crystal
A magnesium oxide crystal is like a row of soldiers: atoms stand in neat lines, and an electron runs along them. But if the electron lingers, the nearest atoms shift slightly from their positions, like neighbors in a rank turning their heads. The electron finds itself in a dip made of displaced atoms and can no longer move freely.
HEP Experiment2026-01-271 minarXiv:2601.19185express
Neutron in the Light
The neutron is a particle with no charge but with internal structure. Like a ball that looks smooth on the outside but has a complex filling inside. Scientists have long wanted to understand how electric and magnetic forces are distributed inside the neutron. To do this, you need to "feel" it — collide it with its antiparticle and see what happens.
Strongly Correlated2026-01-271 minarXiv:2601.19343express
The Hidden Order in a Crystal
In a manganese fluoride crystal, atoms are lined up like soldiers in formation. But within this formation lies a hidden pattern: the magnetic moments of the atoms point in opposite directions, and the pattern itself changes when the crystal is rotated.
Mesoscale2026-01-242 minarXiv:2601.17516express
Tiny Beacons Inside a Magnet
A tiny magnet made of layers of sulfur, chromium, and bromine sits on a microscope stage. Inside it, like unexpected guests, sit erbium atoms — a rare-earth metal. These atoms can glow when hit with a laser, and their light tells us what's happening around them.
Mesoscale2026-01-211 minarXiv:2601.15231express
Spin Waves Running Backward
An ordinary wave in a magnet is like ripples on water: the shorter the wavelength, the higher the energy. Physicists call such waves magnons. But in a thin film of bismuth yttrium iron garnet, they managed to create waves with the opposite behavior: their energy decreases as the wavelength gets shorter. These are antimagnons.
Spin compass a thousand times more precise
Magnetic resonance is like a tuning fork that rings only at its own note. Each molecule has its own frequency, and from that you can tell what the molecule is and what state it's in. But previously, this tuning fork was listened to through a thick wall: the signal was blurred, and you couldn't make out the exact note.