Through low temperature fluorination of AFeO3-x (A=Sr, Ba) it is possible to prepare the oxide fluorides AFeO2F, which are antiferromagnetically ordered at room temperature. In prior experiments we have elucidated the magnetic structure of cubic BaFeO2F, an unusual feature of which was the high thermal displacement parameter of Fe, which may indicate displacements of the Fe off site. Recent Mossbauer spectroscopy has also shown some interesting features at low temperatures and here we intend to investigate whether there is a transition to a lower symmetry cell at low temperatures, with the potential coexistance of ferroelectric and antiferromagnetic order. The structure and magnetic order in the recently synthesised hexagonal BaFeO2F will also be investigated.