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The stability, physical properties, and electronic structures of Cr(NCN)₂ were studied using density functional theory with explicit electronic correlation (GGA+<i>U</i>). The calculated results indicate that Cr(NCN)₂ is a ferromagnetic and half-metal, both thermodynamically and elastically stable. A comparative study on the electronic structures of Cr(NCN)₂ and CrO₂ shows that the Cr atoms in both compounds are in one crystallographically equivalent site, with an ideal 4+ valence state. In CrO₂, the Cr atoms at the corner and center sites have different magnetic moments and orbital occupancies, moreover, there is a large difference between the intra- (12.1 meV) and inter-chain (31.2 meV) magnetic couplings, which is significantly weakened by C atoms in Cr(NCN)₂.