Dipolar Contributions to Magnetoelastic Energy of Crystal Grains with Interfaces

The magnetic anisotropy and magnetostriction in nanocrystalline grains in non-magnetic or magnetic matrix (nanoparticles or nanocrystalline materials) differ from their bulk properties. The interactions between atoms at the interface play the important role in these magnetic properties. In this paper the magnetic dipolar contribution to magnetostriction energy has been calculated for spherical crystal grains (of bcc and fcc symmetry) with interface layer of atoms possessing different magnetic moment. Total magnetoelastic energy of the sphere-interface system is a sum of magnetoelastic energy of the sphere, energy of the interactions between the sphere and the interface and also the energy of the interface. It was shown that magnetoelastic energy depends on the sphere size and interface thickness.