Size effect on the ferroelectric phase transition inPbTiO3ultrafine particles
Physical review. B, Condensed matter1988Vol. 37(10), pp. 5852–5855
Citations Over TimeTop 10% of 1988 papers
Abstract
We report a size effect on the ferroelectric phase transition in ${\mathrm{PbTiO}}_{3}$ ultrafine particles. The samples were synthesized by an alkoxide method. The size was determined by x-ray analysis with the aid of Scherrer's equation. When the particle size is less than 50 nm, the transition temperature ${T}_{c}$, determined by Raman scattering, decreases from its bulk value (500 \ifmmode^\circ\else\textdegree\fi{}C) as the size decreases. The temperature ${T}_{c}$ is described by an empirical expression, ${T}_{c}$=500-588.5/(D-12.6) (\ifmmode^\circ\else\textdegree\fi{}C), where D is the average particle size (nm).
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