“…In our previous work, the unique difference in the critical sizes of NPs of perovskites MTiO 3 , M = Ba, Pb, corresponding to transitions from the ferroelectric phase to the paraelectric phase was studied on the basis of the NP shell theory [7]: ≈30 nm in PbTiO 3 , but 200 nm in BaTiO 3 . Here, we study the ferroelectric properties of NPs of PbTiO 3 as compared to NPs of BaTiO 3 : (1) the shell model of NP(Pb) and NP(PbTiO 3 ); (2) comparison of structural properties of PbTiO 3 and BaTiO 3 : tetragonal parameters of crystals c/a and similarity and difference in the properties of NP(Pb) and NP(Ba); (3) why PbTiO 3 has high temperature T c = 500°C as compared to T c = 120°C in BaTiO 3 ; and (4) dielectric properties of NPs of PbTiO 3 in ferroelectric and paraelectric phases.…”