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The structural and magnetic properties of the perovskite type compound LaFe_0.5Cr_0.5O₃ have been studied by temperature dependent neutron powder diffraction and magnetization measurements. Rietveld refinement of the neutron diffraction data shows that the compound crystallizes in an orthorhombic perovskite structure with a random positioning of the Fe and Cr cations at the B sublattice. The magnetic structure at 10K is a collinear antiferromagnetic one with the magnetic moment per site being equal to 2.79(4)μ_B. Magnetisation measurements confirm the overall antiferromagnetic behaviour. Moreover, it indicates a weak uncompensated magnetic moment close to the transition temperature T_N≈265K. This moment can be described by a magnetic cluster state, which remains up to 550K. Electron diffraction patterns along with high-resolution transmission electron microscopy images reveal that the crystallites …