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The coupling between magnetism and structural distortions in BiFeO3 (BFO) is investigated using density functional theory by considering the spin-orbit effect.Computational results show that the resulting magnetization M is rotated by reversal of sense of rotation of the oxygen octahedra in the double cell.The resulting magnetization is determined by the antiferrodistortive (AFD) distortions and ferroelectric (FE) displacements.This work clarifies the previous view that magnetism is only coupled with,and determined by,FE displacements.The excellent ferroelectricity is attributed significantly to the anomaly of Bo effective charge of Bi,which is caused by the stereochemically active long pair of Bi 6s.