Nano-sized Ba_xMg_1-xFe₂O₄ ferrite powders were prepared with the initial reactant powders of Fe, BaO, MgO and Fe₂O₃ by self-propagating high temperature synthesis (SHS) reaction followed by mechanical milling. Magnetic properties and non-stoichiometric number of the SHS products were determined by vibrating sample magnetometry and neutron diffractometry, respectively.  As the initial composition of barium oxide and magnesium oxide changed from 0.5 to 4.0, the coercive force and residual magnetization and maximum magnetization increased about 34%, 70% and 60% respectively.  Neutron diffraction revealed that the change of the magnetic properties was related to the non-stoichiometries of the ferrite powders. Numerical modeling of the SHS reaction will be presented.

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