| The magnetic property of materials is one of the oldest researching fields.In ancient it has been applied to navigating broadly.Today magnetic materials play an important role in the communication,automatization,integrated electron-machine,national defence and country economy.Magnetic materials have become the important material indispensability which arise more and more interest of scholars.Without applying extra magnetic field,magnetocrystalline anisotropy field is effective magnetic field result from anisotropy energy,which compels magnetization of magnetic domain to accord to the easy magnetization direction.Magnetocrystalline anisotropy occupies very important position in the magnetic materials.For example soft magnetic materials need small anisotropy and the hard magnetic materials contrarily.Now theory research of anisotropy is not perfect.Kaneyoshi T has great achievement who studies systematically anisotropy of spin systems.Physical properties of spin-system in longitudinal crystal field have been studied systematically within the framework of the effective-field theory with correlations, differential operator technique and decoupling approximation.Magnetization and intemal energy of crystal lattices of honeycomb,square with spin5/2 are discussed systematically. The three layer superlattice system consisted of bilayer AA,BB and CC with spins 1/2,3/2 and 1/2 have been also investigated.The numerical results show that the longitudinal crystal field and biaxial crystal field have influenced on the critical temperature of system. When the crystal field becomes strong enough,the BB layer is in±1/2 state instead of in±3/2 state The physical properties of spin system with the biaxial crystal field have been studied for spin5/2 honeycomb and square lattice.The physical properties of the three dimension spin 2 systems have been also discussed.The results show that the phase temperature is increases with the increasing of the coordination number...
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