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In a strong magnetic field,the magnetic susceptibility χ and equivalent magnetic susceptibility λχ of some paramagnetic materials depend sensitively on the applied field He.Here λ is the coefficient of the effective field Hm,which relates to the superexchange interaction between the electrons in different magnetic ions.We present the forms of the adiabatic equivalent λχ and the effective field Hm.The adiabatic magneto-caloric and magnetooptical effects of paramagnetic terbium gallate gaet Tb3Ga5O12 are calculated at 6 K in strong magnetic fields.Our calculated results are in agreement with the experimental data.