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Using Wannier functions to represent the density functional results wecalculate the hybridization corrections to the orbital momentum operator in theOs 5d shell of Mott insulators Ba2NaOsO6 and Ba2YOsO6. The g-factors areobtained by evaluating the spin and orbital momentum operators in the atomicground states of the Os ion. While the hybridization corrections play minorrole in d3 ion of Ba2YOsO6 with dominant spin moment, they are instrumental forobservation of non- zero g-factor of the d1 ions of Ba2NaOsO6. In addition weanalyze the exchange interactions in Ba2YOsO6 and find them consistent with thereported magnetic structure.

Calculated g-factors of 5d double perovskites Ba2NaOsO6 and Ba2YOsO6