The double perovskites La₂MRuO_6+δ contain M²⁺ ions for M=Mg, Zn, Co, and Ni and for M=Mn and Fe, M³⁺ ions. Annealed samples have ordered M²⁺ and Ru(IV), but samples with M³⁺ ions are atomically disordered and remain oxidized (δ>0) after annealing in a N₂ atmosphere. A comparison of quenched, air-annealed, and N₂-annealed La₂MgRuO_6+δ samples showed a persistence of a few cation vacancies in the presence of oxygen vacancies (δ<0). In quenched samples, oxygen vacancies are preferentially located between two Ru atoms, where they form a deep two-electron trap state, whereas the two-electron trap state formed at an oxygen vacancy between an M²⁺ and Ru(IV) is shallow. Magnetic as well as transport data indicate the {π}-bonding $4d$ electrons at the low-spin Ru atoms occupy itinerant-electron states of a π* band even in the atomically ordered samples, but strong correlations introduce magnetic transitions among the π* electrons. The M=Co and Ni samples exhibit a magnetic transition at some, if not all, of the π* electrons on the Ru array below a Tᵢᵣᵣ independent of magnetic ordering on the M²⁺ ions, and below a TN≈26K<Tᵢᵣᵣ, antiferromagnetic ordering of the M²⁺-ion spins suppresses any spin on the intervening Ru(IV). The M²⁺:e²-O-Ru(IV)-O-M²⁺:e² antiferromagnetic superexchange interaction is stronger than the ferromagnetic M²⁺:e²-O-Ru(IV):e⁰ interaction because of a weak intraatomic exchange with the π*-electron spins on the Ru(IV) atoms. On the other hand, disordered La₂MnRuO6.17(1) is ferromagnetic with a magnetization at 5 K of 2.85μB per formula unit (f.u.) in a magnetic field of 50 kOe. This finding is interpreted with a model in which the {π}-bonding orbitals on both the Mn and Ru are coupled to form a common ferromagnetic π* band in which only the antibonding electrons are not spin paired. The strong next-nearest-neighbor interaction between Ru atoms made manifest in the ordered double perovskites provides an explanation of why the π* bandwidth of the perovskite system Sr_1-xCaₓRuO₃ may increase with $x.$
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Dass et al. (2004) studied this question.
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