Density functional theory has been performed to investigate the atomic structure, electronic and magnetic properties of Al3+, Cr3+ and Al3+–Cr3+ co-doped cubic Y3Fe5O12 (YIG) garnet crystal. Results show that Al3+ and Cr3+ ions are energetically substitution of Fe3+ ions at the tetrahedral and octahedral sites in YIG, respectively. The doping concentration do not affect the preferential site occupancy for separate individual substitution. The magnetic moment increases and decreases for the single Cr and Al element doping, respectively. The magnetic moment and lattice constant decreases with the increase of Al–Cr concentrations. The magnetic moment decrease from 5.0 to 3.875 μB linearly with x increases from 0 to 0.4 in Y3AlxCrxFe5−xO12. These results indicate that doping can be adopted for the modification of magnetic properties of YIG.
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