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By means of density functional calculations the magnetic and electronic properties and phase stabilities of the Heusler compounds CoMSi (with M=Ti, V, Cr, Mn, Fe, Co, Ni) were investigated. Based on the calculated results we predict the ferromagnetic phases of the compounds CoTiSi, CoVSi and CoCrSi to be half-metals. Of particular interest is CoCrSi because of its high density of majority spin states at Fermi energy in combination with a reasonably high estimated Curie temperature of 747K. The compounds CoTiSi and CoVSi are thermodynamically stable, whereas CoCrSi is a metastable phase which might be stabilized by suitable experimental techniques.

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