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Non-resonant X-ray magnetic scattering has been used to study the magneticstructure of multiferroic TbMnO3 in its ferroelectric phase. Circularlypolarized X-rays were combined with a full polarization analysis of thescattered beam to reveal important new information on the magnetic structure ofthis canonical multiferroic. An applied electric field is shown to create amagnetic nearly mono-domain state in which the cylcoidal order on the Mnsublattice rotates either clockwise or counter-clockwise depending on the signof the field. It is demonstrated how this technique provides sensitivity to theabsolute sense of rotation of the Mn moments, and to components of the orderingon the Tb sublattice and phase shifts that earlier neutron diffractionexperiments could not resolve.

Circularly polarised X-rays as a probe of non-collinear magnetic order in multiferroic TbMnO3