Bulk and nanoparticulate forms of various phases of titania (anatase, rutile, TiO2-B) act as hosts for Li intercalation but the nanoscale TiO2 can store significantly more Li and the rate of Li insertion/removal is higher. It has been shown that increased capacity to store Li is related to the formation of a new, Li-rich phase, in nanoparticles of anatase, while a significant non-uniform deformation in the structure of TiO2-B nanotubes is responsible for a higher rate of Li intercalation (due to wider bottlenecks in the outer part of the tube) and higher Li composition (due to accessibility of previously inaccessible sites for Li to occupy). We propose to investigate the structure of LixTiO2 nanotubes of the other two titania phases, anatase and rutile, at various states of Li intercalation in order to identify the Li sites and any further structural distortions.