By Professor Boris A. Strukov, Professor Arkadi P. Levanyuk (auth.)
This ebook is a reaction to an obvious call for for a college textbook on ferroelectricity. The authors talk about the present realizing of the actual nature of ferroelectric phenomena in a constant and logical shape utilizing either phenomenological and microscopic ways. They current no longer a descriptive yet a conceptual view at the phenomenon and its place within the framework of the extra normal challenge of structural part transitions. additionally, the ebook offers a foundation for greater knowing of the structural part transitions themselves. it may be emphasised that the ebook is self-sufficient within the experience that there aren't any phrases like "it may be proven" or "it is simple to work out" in it. the extent of the e-book is acceptable for college kids who search a deeper figuring out of ferroelectric phenomena in dielectrics.
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Extra resources for Ferroelectric Phenomena in Crystals: Physical Foundations
Sample text
KsT)} d1]. 21 ) = 4>(1]0) Fig. 1. Dependence of the function We will now consider the temperature dependence of another two important characteristics of the crystal - the volume compressibility (E,T = 1/v(8 2p/8p2)E,T and the volume thermal expansion coefficient KE = -1/v(82p/8p8T)E. Here v is the volume of the crystal. 54 3. Proper Ferroelectrics: Anomalies of Physical Properties To this end, let us elucidate, in explicit form, the dependence of I/> not only on temperature but also on pressure. We take into account that near the transition point the dependence of the coefficient A on temperature and pressure is given by A= (:~) p (T - Te) + (~:) T (p - Pc) + .... K Fig. 2. Temperature dependence of the spontaneous polarization of TGS near the phase transition temperature on a logarithmic scale. 5) [3]. Let us now determine the change of the entropy and heat capacity of the crystal in the vicinity of Te. 9) where S° is the entropy of the symmetric phase, which turns in a continuous manner into the entropy of the polar phase; the absence of an entropy jump is the sign of a continuous second-order phase transition. We assume here that the crystal is placed between the capacitor plates, which are short-circuited (the electric field is equal to zero).