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We claim that any approach neglecting the spin-orbit coupling and the orbital magnetism is not physically adequate for 3d oxides, including NiO, and that in reaching “excellent agreement” in a Phys. Rev. Lett. 93, 126406 (2004) paper too small experimental value of 1.9 muB has been taken for the Ni magnetic moment despite publication of a new experimental value of 2.2 muB, at 300 K yielding 2.6 muB at T = 0 K, already in a year of 1998.

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