Soft and Hard magnetic materials and Stoner-Wohlfarth theory

Stoner-Wohlfarth Model

Figure 1 show a tyipical magnetic hysteresis loop of ferromagnetic materials under an external magnetic field



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Figure 2 show the magnetic hysteresis loops for both soft and hard magnetic materials


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hard magnetic material show low intitial permeability and high coercive force

soft magnetic materials exhibit high initial permeability and low coercivity

use for disk media or permanent magnet

used for transformer or magnetic head

schematic of SW particle



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the energy density given by


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the hysteresis arises in the field range where two minima are present

switching occurs when image

the loop shape of hysteresis is perfectly square when alpha=0


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the coercivity is equal to the anisotropy field


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an array of non-interacting magnetic particles with a random distribution of anisotropy axes is a crude model for a real polycrystalline magnet and hysteresis loop as shown


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the deviations from a linear plot of Mri versus Mrd known as Henkel plot, was pointed by Wohlfarth, and the related is image

Soft Magnetic Materials

easy to magnetize and demagnetize and desirable for electromagnets

favor rapid switching of magnetism to applied ac field and have low retentivity

low coercivity and hysteresis losses because the leeser area of the hysteresis loop

high permeability and magnetic saturation

Si-Steel/Soft iron/ Fe-Si alloy is used up to power frequency (50 to 60 Hz), used in power transformer, increases maximum permissible d.c. resistivity by adding 5% Si and reduce the area of hysteresis loop

Fe-Ni alloy used for high-frequency application for 36% Ni, 50% Ni is used for magnetic memory, 77% Ni used for precision voltage and current transformer

Hard Magnetic Materials

also called permanent magnet material which retain their magnetization and difficult to demagnetize

have high retentivity, coercivity, permeability, magnetic saturation and Curie point or temperature

high hysteresis losses because of the larger area of the hysteresis loop

carbon steel used as magnet for latching relays or compass needle

tungsten steel used as magnets in D.C. motors

AlNiCo magnetic properties are very stable with time and temperature