CHAPTER 1 -PREVIOUS THEORIF.S OF DIELECTRIC SATURATION EFFECTS 1.1 -Introduction 1.2 -The Debye Theory 1.3 -Theories for Polar Liquids 1.4 -Dielectric Saturation in Crystalline Solids CHAPTER 2 -SOME GENERAL RESULTS 2.1 -Introduction 2.2 -The General Classical Result 2.3 -The Quantum Mechanical Result CHAPTER 3 -THE THEORY OF LA'I'l'ICE DYNAMICS 3.1 -Introduction 3.2 -The Formalism of the Born -von Karman Theory 3.3 -Harmonic Theories 3.4 -Anharmonic Theories 3.5 -Long Wavelength Optic Modes in

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... Ionic Crystals CHAPTER 4 -THE NONLINEAR DIELECTRIC CONSTANT IN RIGID ION MODELS 4.1 -Introduction 4.2 -The Static Lattice Model 4.3 -The Einstein Model 4.4 -The General Rigid Ion Model 4.5 -Discussion CHAPTER 5 -LATTICE DYNAMICS OF THE SHELL MODEL 5.1 -Introduction 5.2 -A Simple Harmonic Shell Model 5,3 -A Simple Anharmonic Shell Model 5,4 -The Dipole Moment 4 (i) CHAP'l'ER 6 -THE NONLINEAR DIELECTRIC CONSTANT OF A CRYSTAL