Despite the importance of the LiFeO2 phases as cathode materials in lithium ion batteries, little is known about their crystal structures. In the frame of our research project on the structural properties of lithium ion conductors, we propose to collect powder diffraction data on samples of the hollandite-type (tetragonal) and LiMnO2-type (orthorhombic) polymorphs of LiFeO2 in the 25 to 700 C thermal range, in order to determine and refine their structures, to locate lithium ions, to determine the Li/Fe disorder state and then to infer the mobility pathways of Li+ ion at variable temperature.