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Using first-principles calculations based on density functional theory, we probe the band structures, half-metallicity and magnetic properties in Cr₂VZ (Z = P and As) full-Heusler alloys. The results reveal that Cr₂VZ (Z = P and As) is stable in ferri-magnetic configuration. The total magnetic moment of Cr₂VAs is -2 μ_B per formula unit at the equilibrium state, obeying the Slater–Pauling rule . Cr₂VP is a common magnet. Based on the hybridization between the Cr?3d and V?3d electrons, we analyzed the origin of energy gap in the minority channel.