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Neutron powder diffraction measurements on the 35 % La-substituted Bi 1− x  La  x  Fe 0.5 Sc 0.5 O 3  composition revealed that the samples obtained under high-pressure (6 GPa) and high-temperature (1500 K) conditions crystalize into a distorted perovskite structure with the orthorhombic  Pnma  symmetry and the unit cell parameters:  a   o   = 5.6745(2) Å,  b   o   = 7.9834(3) Å and  c   o   = 5.6310(2) Å. A long-range magnetic ordering takes place below 220 K and implies a  G -type magnetic structure with the moments 4.10(4) μ   B   per Fe aligned predominately along the orthorhombic  c -axis. The space group representation theory using the orthorhombic symmetry yields four bi-linear coupling schemes for the magnetic order parameters imposed by antisymmetric exchange interactions. The couplings are analysed based on symmetry adapted distortion modes defined in respect of the undistorted cubic perovskite structure. The approach allows a quantitative estimation of the coupling strength. It is shown that the experimentally found spin configuration combines the magnetic order parameters coupled by the atomic displacement modes with the largest amplitudes. The results indicate that the antisymmetric exchange is the dominant anisotropic term which fully controls the direction of the Fe 3+  spins in the distorted perovskite lattice.

Antisymmetric exchange in La-substituted BiFe 0.5 Sc 0.5 O 3 system: symmetry adapted distortion modes approach