“…It has been found that the thickness and grain size of the thin film strongly effect the ferroelectric and optical properties, phase transitions, lattice structure, and stress distribution in ABO 3 type materials. [6][7][8][9][10][11][12][13][14][15][16][17][18] Generally speaking, a reduction in film thickness or grain size leads to a decrease in dielectric constant, remanent polarization, dielectric breakdown field, and the tetragonal distortion c/a, and leads to an increase in loss tangent, coercive field, band-gap energy, and diffuseness of the phase transitions. 7,10 Several mechanisms for size effects in ferroelectric thin films have been postulated based on the effects of electrodes/ film interfacial layers, 12-14 stresses, 17 defects, 18 and domain structure transitions.…”