By first-principles calculations, we find that BiCrO3 can stabilize in three structures when relaxing from different experimental crystal lattice. The experimental undetermined structure is identified to be noncentrosymmetric R3c which permits the spontaneous ferroelectric polarization. The atomic positions within the unit cell were calculated using the GGA, GGA+U, LDA and LDA+U exchange–correlation energy density functionals, then the lattice constants along with the atomic positions were relaxed to find the ground state structure. All the calculations indicate that the Pnma structure is lower in energy than R3c and C2/c.
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