“…In reviewing the experimental literature on size effects upon the PbTiO 3 ferroelectric phase transition, it is difficult to determine an exact critical size. PbTiO 3 nanoparticles, with crystallites on the order of 8−200 nm, have been prepared by the sol−gel, chelate, nitrate, citrate, coprecipitation, Pechini, and injection−hydrolysis procedures, and various physical characterization and theoretical techniques have been employed to acquire the critical size. − ,− ,,,− Therefore, we compared our results of the nanotubes and fibers to those of control samples made with the same solution chemistry in the absence of any templates.…”