Magnetic anisotropy, coercivity and saturation magnetization

The application of higher fields to a sample gradually moves the Bloch walls or changes the directions of magnetization until a maximum magnetization is reached. 

The amount of energy (i. e. the coercive forces) necessary to achieve these changes is related to three different types of magnetic anisotropy. 

The first type is the crystal anisotropy which is responsible for the dependence of the magnetization curves on the orientation of the crystal in the magnetic field. The energy E, which is necessary to deflect the magnetic moment in a single crystal from the easy direction into less easy ones is given for cubic crystals by  

1) In multidomain particles each domain is separated from another by the Bloch wall, where 

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