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Magnetic moment

What is the magnetic moment?

The magnetic moment is a measurement of the magnetic forces of an elementary magnet or a circular current. The magnetic moment is commonly used to indicate the magnetic effect of the spin of elementary particles. The electron spin has a certain magnetic moment, for example. The atomic spins in para- and ferromagnetic materials also have a magnetic moment.
The magnetic moment measures the strength of the magnetic field emanating from a circular current. The following applies to the magnetic moment \(\vec{m}\) of a circular current I that encloses an area A:

\(\vec{m} = I \cdot \vec{A}\)
The strength of the magnetic properties of electron spins or the spins of other elementary particles is also indicated by the magnetic moment.

Illustration magnetic moment
Illustration on the left: A current I always causes a magnetic flux density B. The strength of this magnetic flux density and its direction within the conductor loop can also be characterised by the magnetic moment m.
Illustration on the right: Shown here is an electric dipole. The electric field of two oppositely charged bodies has the same shape as the magnetic field of a conductor loop. This is referred to as a dipole field with an associated dipole moment. A single charge has an electric monopole moment.
The magnetic moment is a vector that is perpendicular to the surface around which current flows and whose arrowhead points away from the north pole. Accordingly, the field lines run closed from the north pole to the south pole and then in the conductor loop parallel to the magnetic moment back to the north pole (see illustration).

As there are no magnetic fields with only one pole (monopoles), the simplest magnetic moment is a so-called dipole moment. It always has two opposite poles. Electric fields, on the other hand, can also have a monopole moment. This is the field that emanates from a single-point charge. In contrast, two charges at a fixed distance form an electric dipole moment similar to magnetism. (see illustration)

The magnetic effect of permanent magnets is also explained by circular currents in the material. It is assumed that the electrons have an electron spin from which a magnetic moment emanates. During magnetisation, all these magnetic moments are aligned in parallel. This is also referred to as magnetic magnetic polarisation. In ferromagnetic materials, this leads to permanent magnetisation if the alignment is sufficiently strong. The magnetic polarisation does not disappear when the external magnetic field is turned off. The remaining magnetic polarisation is also called remanence. The magnetic moments of all electron spins were aligned in parallel and resulted in a macroscopic magnetisation, which is created by the sum of all magnetic moments of the electron spins.

The reason for the permanent alignment is the exchange interaction between all magnetic moments of the electron spins. This exchange interaction stabilises the aligned electron spins with each other, and remanence occurs. The alignment of the magnetic moments can be disturbed by the addition of heat, which promotes the movement of the electrons and thus the rearrangement of the magnetic moments of the electron spins. Striking a permanent magnet hard will also ruin the magnetisation. Lastly, the magnetisation can be destroyed by an opposing field of coercivity because the opposing field exerts a force on the magnetic moments of the aligned electron spins that attempts to rotate the magnetic moments in the opposite direction.



Portrait of Dr Franz-Josef Schmitt
Author:
Dr Franz-Josef Schmitt


Dr Franz-Josef Schmitt is a physicist and academic director of the advanced practicum in physics at Martin Luther University Halle-Wittenberg. He worked at the Technical University from 2011-2019, heading various teaching projects and the chemistry project laboratory. His research focus is time-resolved fluorescence spectroscopy in biologically active macromolecules. He is also the Managing Director of Sensoik Technologies GmbH.

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