The battery material LixCoO2 has recently been shown to have high thermopower comparable to NaxCoO2 at high x. In the case of NaxCoO2 we showed using neutron Laue diffraction on SXD that the excellent thermoelectric properties could be rationalised in terms of the sodium ordering. We now propose to determine the lithium superstructures in LixCoO2 at high x and to compare these results to the thermoelectric properties and theoretical predictions, which are very different to NaxCoO2. We have grown single crystals using the floating zone technique that are large enough for neutron diffraction on SXD. Our in-house x-ray diffraction reveals high quality single crystals, and we observe superstructure reflections. We need neutron diffraction to determine the bulk phases and to locate the lithium ions.