Ferroelectric Phenomena in Crystals
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1 В. А. Strukov А. Р. Levanyuk Ferroelectric Phenomena in Crystals Physical Foundations With 153 Figures and 14 Tables Springer
2 Contents 1. General Characteristics of Structural Phase Transitions in Crystals First- and Second-Order Structural Phase Transitions Structural Phase Transitions of Displacive and Order-Disorder Types The Domain Structure Ferroelectric Phase Transitions Basic Types of Ferroelectric Crystals Phenomenological Theory of Second-Order Structural Transitions in Crystals The Incomplete Thermodynamic Potential Structural Phase Transitions Described by a One-Component Order Parameter Structural Phase Transitions Described by Two- and Three-Component Order Parameters Proper Ferroelectrics: Anomalies of Physical Properties in Phase Transitions Anomalies of Thermal and Electrical Properties (One-Component Order Parameter) Anomalies of Electrical Properties (Multicomponent Order Parameter) First-Order Phase Transitions Close to Second-Order Transitions The Tricritical Point Dielectric Anomalies in Structural Nonferroelectric and Improper Ferroelectric Phase Transitions Nonferroelectric Phase Transitions: Dielectric Anomalies Improper Ferroelectric Phase Transitions: Dielectric Anomalies 81
3 VIII Contents 5. Anomalies of Elastic and Electromechanical Characteristics of Crystals in Second-Order Phase Transitions One-Component Order Parameter: Elastic Properties of an Isotropic Liquid One-Component Order Parameter: Elastic Properties of an Anisotropic Crystal Ferroelectric-Ferroelastics: One-Component Order Parameter with Transformation Properties of the Component of a Second-Rank Tensor and the Polar Vector Temperature Dependences of "Morphic" Moduli of Elasticity Two-Component Order Parameter: Elastic Properties of Crystals Piezoelectric Effect and Electrostriction in the Case of One-Component Order Parameter and Centrosymmetric Paraelectric Phase Piezoelectric Effect in the Case of One-Component Order Parameter and Noncentrosymmetric Paraelectric Phase Fluctuations of the Order Parameter in Phenomenological Theory Spatially Inhomogeneous Fluctuations of the Order Parameter in the Incomplete Thermodynamic Potential Applicability of Landau Theory to Nonferroelectric Structural Phase Transitions Applicability of Landau Theory to Phase Transitions in Uniaxial Ferroelectrics Fluctuational Phenomena in Ferroelectric-Ferroelastics and in Phase Transitions in Multiaxial Ferroelectrics Structural Phase Transitions in the Single-Ion Model Problems of the Microscopic Theory The Single-Ion Model of a Diatomic Crystal Phase Transitions of Displacive and Order-Disorder Types in the Single-Ion Model Applicability of the Landau Theory to Phase Transitions of Displacive and Order-Disorder Types 147
4 Contents IX 8. Statistical Theory of Ferroelectric Phase Transitions of the Order Disorder Type The Hamiltonian of a Uniaxial Ferroelectric with an Order-Disorder Phase Transition The Free Energy of an Order-Disorder Crystal in the Self-Consistent Molecular Field Approximation Tunneling Effects in Hydrogen-Containing Ferroelectrics The Cluster Approximation: Crystals of the KH 2 P0 4 Group Dynamics of Displacive and Order Disorder Phase Transitions The Equation of Motion of the Order Parameter Dynamic Dielectric Constant: Order-Disorder Phase Transitions Dynamic Dielectric Constant: Displacive Phase Transitions Microscopic Theory of Dynamic Processes in Displacive Phase Transitions Microscopic Theory of Dynamic Processes in Order-Disorder Phase Transitions Dielectric Constant and Soft Mode: The Lyddane-Sachs-Teller Relation: Domain Structure and Defects Nucleation of Domains in a Structural Phase Transition Domain Wall Structure: One-Component Order Parameter Domain Wall Structure: Two-Component Order Parameter Motion of the Domain Wall in an Ideal and a Real Crystal Motion of the Domain Wall: Account of the Discreteness of the Crystal Domain Walls and Defects Defects in the Symmetrical Phase Domains in Proper Ferroelectrics Domains in Ferroelastics Domains in Polyaxial Ferroelectrics Ferroelectrics with an Incommensurate Phase Phase Transitions into an Incommensurate Phase 227
5 X Contents 11.2 Phenomenological Theory of Phase Transitions into an Incommensurate Phase Specific Features of Crystal Lattice Vibrations in an Incommensurate Phase The Incommensurate Phase in a Real Crystal The Commensurate-Incommensurate Phase Transition: A Special Type of Phase Transition Evolution of the Structure of the Incommensurate Phase (General Picture) Evolution of the Structure of the Incommensurate Phase (the Continuum Approximation) Ferroelectric Liquid Crystals Basic Types of Orientational Ordering in Liquid Crystals Conditions for Existence of Dipolar Ordering in Liquid Crystals Phenomenological Theory of Phase Transition SmA* -> SmC* The Behavior of a Ferroelectric Smectic Liquid Crystal in an External Electric Field Crystallochemical Aspects of the Theory of Ferroelectric Phenomena Calculation of the Constants of the Hamiltonians of Some Crystals An Approach Based on the Classical Theory of Ionic Crystals Recommended Literature 299 References 301 Index 303
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