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Very thick films of BiCrO$_3$ have been grown on a SrTiO$_3$ substrate,maintaining a tetragonal lattice up to thicknesses of 14,000\AA. Assuming wecan treat films of this thickness as bulk crystals, we first calculated theexperimentally undetermined atomic positions within the unit cell with themeasured lattice constant of the film, then relaxed the lattice constants alongwith the atomic positions. All the calculations result in an antiferroelectriccrystal with the {\it Pnma} space group with noncollinear Bi displacements. Wefind G-type antiferromagnetism with a spin-orbit induced weak ferromagneticcomponent, however, the weak ferromagnetic component can cancel if theantiferromagnetic spins are oriented along a particular one of the three 2-foldrotation axes.

Density functional study of weak ferromagnetism in a thick BiCrO3 film