In this work, the stage transition from an order-to-disorder of Nickel II Iron III oxide (ferromagnetic) of the twodimensional Ising Model is determined using Monte Carlo method with important samples. The magnetization per site (μ), energy per site (j) of a NiOFe2O3 have been calculated as a function of inverse temperature (βJ) for different lattice sizes (L×L= 4, 8, 16, 32), in the absence of external magnetic field (B=0). The critical inverse temperature (βC=0.435 KB/J) has been determined. The analysis of the outcomes appears that (βCJ=0.435) is set by measuring the magnetic characteristics in which the ferromagnetic suffers of the stage transition from an order to disorder. For clarity, Metropolis algorithm method was used to assess the behavior of the lattice and the critical inverse temperature in which the stage transition between NiOFe2O3 of ferromagnetic and paramagnetic states occurs was noted.

Ferromagnetic Material, Ising Model, Monte Carlo Steps, Metropolis Algorithm Method, Nickel.