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We present a neutron diffraction study of FeV2O4, which is rare in exhibitingspin and orbital degrees of freedom on both cation sublattices of the spinelstructure. Our data confirm the existence of three structural phase transitionspreviously identified with x-ray powder diffraction, and reveal that the lowertwo transitions are associated with sequential collinear and cantedferrimagnetic transitions involving both cation sites. Through consideration oflocal crystal and spin symmetry, we further conclude that Fe2+ cations areferro-orbitally ordered below 135K and V3+ orbitals order at 60K in accordancewith predictions for vanadium spinels with large trigonal distortions andstrong spin-orbit coupling. Intriguingly, the direction of ordered vanadiumspins at low temperatures obey `ice rules' more commonly associated with thefrustrated rare-earth pyrochlore systems.

Magnetic order and ice rules in the multiferroic spinel FeV2O4