Magnetic Anisotropy And Zero-field Splitting Of Fe³⁺ In Magnetopumbite BaFe₁₂O₁₉

As an important attribute of magnetic materials,Magnetocrystalline anisotropyhas a great influence in practical application. high magnetocrystalline Magnetocrystallineanisotropy is almost a must have Among the various kinds of alloy which contain rare earthion and ferrite magnetic materials. The conditions of High magnetic materials is theMagnetocrystalline anisotropy constant K. So magnetocrystalline anisotropy theory researchhas been incorporated into the research field for a long time. Predecessors do a lot oftheoretical and experimental for the Magnetocrystalline anisotropy of magnetic materialswhich doped with rare earth ions, the experiment measured value can explain thecharacteristics and behaviors of the magnetic materials. Most Predecessors usin theperturbation method to derive the zero field division and magnetocrystalline anisotropy, Theadvantage of this approach is that it can give a very intuitive analytic expression and it is verypractical. But the shortcomings of the perturbation method is that the accuracy is not high andprone to error.BaFe12O19is a typical ferrite material. Predecessor has carried on the experimentalstudy for the zero field division and magnetocrystalline anisotropy and interpretation. Later,in the6s state of ferric ion, the researchers found that the second order perturbation formulascannot explain zero-field splitting, thus they developed the higher order perturbation formulas.However the higher order perturbation theory was rarely applied to zero barium ferrite andpermanent magnet field division and magnetocrystalline anisotropy studying, therefore thecomprehensive explanation both for the zero-field splitting and the magnetocrystallineanisotropy of barium ferrite was not found. The zero-field splitting and magnetocrystallineanisotropy of barium ferrite were reseached through the higher order perturbation formulas ofzero-field splitting which was established with the crystal field theory,and analyzed thephysical mechanism of their inherent. Diagonalization method is adopted to calculate the crystal field level, using secondorder and six order perturbation method to calculate zero field splitting parameter D, andcomparing the results with the experimental value, both of them show that completediagonalization method and perturbation method can get the similar results, both areconsistent with experimental value。According to the calculated correlation parameter D, F,we can calculate the magnetocrystalline anisotropy constant K and Analysis what themagnetocrystalline anisotropy microscopic mechanism.