  A metastable perovskite BiFe0.5Sc0.5O3 synthesized under high-pressure (6
GPa) and high- temperature (1500 K) conditions was obtained in two different
polymorphs, antipolar Pnma and polar Ima2, through an irreversible behaviour
under a heating/cooling thermal cycling. The Ima2 phase represents an original
type of a canted ferroelectric structure where Bi3+ cations exhibit both polar
and antipolar displacements along the orthogonal [110]p and [1-10]p pseudocubic
directions, respectively, and are combined with antiphase octahedral tilting
about the polar axis. Both the Pnma and Ima2 structural modifications exhibit a
long-range antiferromagnetic ordering with a weak-ferromagnetic component below
TN ~ 220 K. Analysis of the coupling between the dipole, magnetic and elastic
order parameters based on a general phenomenological approach revealed that the
weak-ferromagnetism in both phases is mainly caused by the presence of the
antiphase octahe- dral tilting whose axial nature directly represents the
relevant part of Dzyaloshinskii vector. The magnetoelectric contribution to the
spontaneous magnetization allowed in the polar Ima2 phase is described by a
fifth-degree free-energy invariant and is expected to be small.
