Publication

Fluctuations and Landau-Devonshire expansion for barium titanate

Alexander Tagantsev
2002
Journal Articles

Abstract

The experimentally observed temperature dependence of the quartic coefficients in the Landau-Devonshire expansion for BaTiO3 is naturally accounted for within a proper fluctuation model. It is explained, in particular, why one of the quartic coefficients varies with temperature above T-c, while the second is constant. It is argued that the tetragonal phase in BaTiO3 exists essentially due to thermal fluctuations, while the true Landau-Devonshire expansion with temperature-independent coefficients favors the rhombohedral ferroelectric phase. (C) 2002 MAIK "Nauka / Interperiodica".

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https://infoscience.epfl.ch/entities/publication/14c3533f-7cc2-4d78-bc5e-f4826138bbe3

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Alexander Tagantsev
2002
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/14c3533f-7cc2-4d78-bc5e-f4826138bbe3

About this result

Related concepts (32)

Barium titanate

Barium titanate (BTO) is an inorganic compound with chemical formula BaTiO3. Barium titanate appears white as a powder and is transparent when prepared as large crystals. It is a ferroelectric, pyroelectric, and piezoelectric ceramic material that exhibits the photorefractive effect. It is used in capacitors, electromechanical transducers and nonlinear optics. Perovskite (structure) The solid exists in one of four polymorphs depending on temperature.

Lead zirconate titanate

Lead zirconate titanate, also called lead zirconium titanate and commonly abbreviated as PZT, is an inorganic compound with the chemical formula It is a ceramic perovskite material that shows a marked piezoelectric effect, meaning that the compound changes shape when an electric field is applied. It is used in a number of practical applications such as ultrasonic transducers and piezoelectric resonators. It is a white to off-white solid. Lead zirconium titanate was first developed around 1952 at the Tokyo Institute of Technology.

Quartic function

In algebra, a quartic function is a function of the form where a is nonzero, which is defined by a polynomial of degree four, called a quartic polynomial. A quartic equation, or equation of the fourth degree, is an equation that equates a quartic polynomial to zero, of the form where a ≠ 0. The derivative of a quartic function is a cubic function.

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Fluctuations and Landau-Devonshire expansion for barium titanate

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