# Magnetisation
**A [[vector field]] that represents the density of magnetic dipole moments in a magnetic material.**
> [!infobox] Magnetisation
>
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|:------------ | ------------:|
| ***Symbol*** | $\mathbf{M}$ |
| ***SI base units*** | $\text{A}\;\text{m}^{-1}$ |
> [!NOTE] Magnetisation
> The *magnetisation* of a region is
> $\mathbf{M}=\frac{d\mathbf{m}}{dV}$
> - $\mathbf{m}$ - the *elementary magnetic dipole moment*
> - $V$ - the *volume element*
The *magnetisation* of a material is dependent on the number of magnetic dipole moments in a given volume which can become magnetised by an external field. These magnetic dipole moments can be tiny electric currents generated by the *motion of electrons* within atoms or the *intrinsic [[spin]]* of charged [[Elementary Particle|elementary particles]].
Intuitively, the magnetisation of a material can be thought of as the *degree to which the material responds* to an applied [[magnetic field]], similarly to how the electric polarisation of a material describes the response of a material to an external electric field.
The magnetisation of a material is used in the definition of the [[Magnetic Field#The H-field|H-field]]. In a vacuum, the magnetisation is *zero* as there are no magnetic dipole moments and thus the relationship between the B and H-fields relies solely on the intrinsic magnetic permeability of a vacuum.
The term "magnetisation" is also used to describe the process by which a material is magnetised to produce an induced magnetic field.