User:RockMagnetist/Drafts/Magnetization

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Definition

The magnetization of a material is defined as its magnetic moment per unit volume.^[1]^: 14^[2]^: 1 Like the magnetic moment, it is a vector quantity and function of position, e.g., $M (r)$ . The total magnetic moment of a body is given by the integral over its volume:^[3]^: 411

\mathbf {m} =\iiint \mathbf {M} (\mathbf {r} )\,d^{3}\mathbf {r} .

Units

As a magnetic moment per unit volume, magnetization is represented by the symbol $M$ and has units of amperes per meter (A/m) in SI units (emu/cm³ in cgs units). Referred to as the magnetic polarization or intensity ( $J$ or $I$ ), it is measured in teslas in the SI system (but still emu/cm³ in cgs). It can also be given as magnetic moment per unit mass ( $M$ or $σ$ ) with units A m² / kg in SI units.^[4]

References

^ Spaldin, Nicola A. (2011). Magnetic materials : fundamentals and applications (2nd ed.). Cambridge: Cambridge University Press. ISBN 9780521886697.
^ Aharoni, Amikam (1996). Introduction to the theory of ferromagnetism (Reprinted ed.). Oxford: Clarendon Press. ISBN 0198517912.
^ Zangwill, Andrew (2013). Modern electrodynamics. Cambridge: Cambridge University Press. ISBN 9780521896979.
^ "Magnetic Units". IEEE Magnetics.

[Spaldin-1] Spaldin, Nicola A. (2011). Magnetic materials : fundamentals and applications (2nd ed.). Cambridge: Cambridge University Press. ISBN 9780521886697.

[Aharoni-2] Aharoni, Amikam (1996). Introduction to the theory of ferromagnetism (Reprinted ed.). Oxford: Clarendon Press. ISBN 0198517912.

[Zangwill-3] Zangwill, Andrew (2013). Modern electrodynamics. Cambridge: Cambridge University Press. ISBN 9780521896979.

[IEEEM-4] "Magnetic Units". IEEE Magnetics.

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