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Phonons: Theory and Experiments III: Phenomena Related to Phonons

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Product Details

  • ISBN-13: 9783642522734
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 7/28/2012
  • Series: Springer Series in Solid-State Sciences , #66
  • Edition description: Softcover reprint of the original 1st ed. 1987
  • Pages: 249
  • Product dimensions: 6.14 (w) x 9.21 (h) x 0.55 (d)

Table of Contents

1. Introduction.- 1.1 General Remarks.- 1.2 Piezoelectricity.- 1.3 Ferroelectricity.- 1.4 Thermal Conductivity.- 1.5 Phonons in One-Dimensional Metals.- 1.6 Phonons in Disordered Systems.- 1.7 Ion Dynamics in Superionic Conductors.- 1.8 Melting.- 2. Piezoelectricity.- 2.1 General Remarks.- 2.2 Macroscopic Electroelastic Relations.- 2.3 The Method of Homogeneous Deformations.- 2.4 The Method of Long Waves.- 2.5 Application to Crystals with ZnS-Structure.- 2.6 Problems.- 2.6.1 The Method of Long Waves.- 2.6.2 Elastic Constant of a Piezoelectric Crystal for Short-Circuit and Open-Circuit Conditions.- 2.6.3 Piezoelectric and Optic Effective Charges for the Shell Model.- 3. Ferroelectricity.- 3.1 General Properties of Ferroelectric Materials.- 3.2 Classification and Properties of Selected Ferroelectrics.- 3.3 Thermodynamic Theory of Ferroelectrics.- 3.3.1 General Considerations.- 3.3.2 First-Order Transitions.- 3.3.3 Second-Order Transitions.- 3.4 Lattice Dynamics of Displacive Ferroelectric Phase Transitions.- 3.4.1 Ferroelectricity and the LST Relation.- 3.4.2 Origin of Instability and Polarizability Catastrophe.- 3.4.3 Soft Modes for Ferroelectric and Antiferroelectric Phase Transitions.- 3.4.4 Lattice-Dynamical Basis of Devonshire’s Theory.- 3.5 Lattice Dynamical Models for Ferroelectric Phase Transitions.- 3.5.1 The Anharmonic Lattice Model.- 3.5.2 Electronic Theory of Soft-Mode Instability.- 3.5.3 The Polarizability Model.- 3.5.4 Range of Validity of the Landau-Devonshire Theory.- 3.6 Soft-Mode Spectroscopy of Selected Ferroelectrics.- 3.7 Quantum Ferroelectrics.- 3.8 Disordered Polar Systems.- 3.9 Problems.- 3.9.1 Temperature Dependence of the Soft Mode in Displacive Phase Transitions.- 3.9.2 Polarizability Catastrophe for a System of Two Neutral Atoms.- 3.9.3 Classical and Quantum Ferroelectrics.- 3.9.4 Polarizability Model.- 4. Thermal Conductivity.- 4.1 General Remarks.- 4.2 Experimental Determination of Thermal Conductivity.- 4.3 Lattice Thermal Conductivity: Elementary Kinetic Theory.- 4.4 Formal Theory of Thermal Conductivity.- 4.5 Relaxation Times in Insulators.- 4.5.1 Boundary Scattering.- 4.5.2 Defect and Impurity Scattering.- 4.5.3 Phonon-Phonon Scattering.- 4.6 Thermal Conductivity of Glasses.- 4.7 Thermal Conductivity of Metals and Alloys.- 4.8 Second Sound.- 4.9 Problems.- 4.9.1 Three-Phonon Interactions.- 4.9.2 Relation Between Heat Flow and Phonon Momentum.- 4.9.3 Approximate Expression for ?t Based on Frequency Dependent Relaxation Times.- 5. Phonons in One-Dimensional Metals.- 5.1 Interesting Aspects of One-Dimensional Metals.- 5.2 Basic Properties of One-Dimensional Conductors.- 5.3 The Electronic Susceptibility.- 5.4 The Electron-Phonon Hamiltonian.- 5.5 Discussion of Selected Experiments for KCP.- 5.5.1 Chemistry and Structure.- 5.5.2 Transport Properties, Diffuse X-Ray Scattering and Band Structure.- 5.5.3 Inelastic Neutron Scattering Studies.- 5.5.4 Optical Properties of KCP.- 5.6 Effects of Fluctuations and Three-Dimensional Coupling.- 6. Phonons in Disordered Systems.- 6.1 The Effects of Defects and Disorder on Phonons.- 6.2 Green Functions.- 6.3 The Linear Chain with Isolated Defects.- 6.3.1 The Single Mass Defect.- 6.3.2 The Double Force Constant Defect.- 6.4 The Random Binary Mass Chain.- 6.4.1 General Features.- 6.4.2 The Coherent Potential Approximation.- 6.4.3 Cluster Approximations.- 6.4.4 Renormalization Group Approaches.- 6.5 Three-Dimensional Lattices and More Complicated Types of Disorder.- 6.6 Experimental Results and Comparison with Theoretical Calculations.- 7. Ion Dynamics in Superionic Conductors.- 7.1 General Aspects of Superionic Conductors.- 7.2 Basic Facts and Examples of SIC.- 7.3 Ionic Interactions and Dynamical Models.- 7.3.1 Free-Ion Model.- 7.3.2 Hopping and Lattice Gas Models.- 7.3.3 Continuous Stochastic Models.- 7.3.4 Continuum Models for the Hydrodynamic Region.- 7.3.5 Molecular Dynamics Calculations.- 7.4 Brownian Motion of a Particle in a Periodic Potential.- 7.5 Disorder-Induced Infrared Absorption and Raman Scattering.- 7.6 Phonons in a-AgI and Other SIC.- 7.6.1 Phonons in ?-AgI.- 7.6.2 Phonons in Other SIC.- 7.7 Lattice Dynamical Calculation of Jump Frequencies.- 7.7.1 Dynamical Theory of Diffusion in Crystals with a Small Defect Concentration.- 7.7.2 Jump Frequencies for SIC.- 8. Melting.- 8.1 Nature of the Melting Transition.- 8.2 Lindemann Relation.- 8.3 Anharmonicity and Instability of the Solid Phase.- Appendix: Constants and Units.- References.
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