| Introduction | p. 1 |
| Experimental Techniques | p. 5 |
| Transducer | p. 6 |
| Sound Velocity and Attenuation, Experimental Techniques | p. 7 |
| Simple Ultrasonic Set-Up | p. 7 |
| Relative Sound Velocity and Attenuation Changes | p. 9 |
| Ultrasonics at Very Low Temperatures | p. 11 |
| Absolute Sound Velocity Measurements | p. 12 |
| Resonant Ultrasound Spectroscopy, RUS | p. 14 |
| Vibrating Reed Technique | p. 16 |
| Phonon Echoes | p. 16 |
| Ultrasonics in Pulsed Magnetic Fields | p. 17 |
| Surface Acoustic Wave Generation and Detection | p. 20 |
| Microwave Ultrasonics | p. 21 |
| Brillouin Scattering | p. 23 |
| Thermal Expansion and Magneto-striction, Thermal Conductivity | p. 25 |
| Thermal Expansion and Magneto-striction | p. 25 |
| Thermal Conductivity | p. 25 |
| Elasticity | p. 27 |
| Strains, Stresses and Elastic Constants | p. 27 |
| Symmetry Aspect | p. 32 |
| Third Order Elastic Constants | p. 36 |
| Elastic Stability, Elastic Isotropy | p. 37 |
| Surface Acoustic Waves, SAW | p. 39 |
| Lattice Dynamics | p. 44 |
| Phonon Dispersion | p. 44 |
| Debye Theory of Lattice Dynamics | p. 45 |
| Thermodynamics and Phase Transitions | p. 47 |
| Thermodynamic Potentials | p. 47 |
| Background Elastic Constant and Attenuation | p. 49 |
| Background Elastic Constant, Thermal Expansion and Specific Heat | p. 49 |
| Sound Dissipation Due to Phonons in Insulators | p. 52 |
| Landau Theory, Strain-Order Parameter Coupling | p. 52 |
| Landau Theory for Second Order Phase Transitions | p. 53 |
| Scaling Relations | p. 54 |
| Landau Theory for a First Order Phase Transition | p. 55 |
| Strain-Order Parameter Coupling | p. 56 |
| Fluctuation Effects | p. 59 |
| Landau-Khalatnikov Theory | p. 60 |
| Ginzburg Criterion and Marginal Dimensionality | p. 62 |
| Adiabatic and Isothermal Quantities | p. 63 |
| Acoustic Wavesin the Presence of Magnetic Ions | p. 67 |
| Strain-Magnetic Ion Interaction | p. 67 |
| Magnetic Interactions | p. 68 |
| Single Ion-Strain Interaction | p. 70 |
| Exchange Striction | p. 72 |
| Thermodynamic Functions for 4f-Rare Earth Ions in the Presence of Crystal Fields | p. 73 |
| Specific Heat and Thermal Expansion | p. 75 |
| Magnetic Susceptibility and Elastic Constants | p. 77 |
| Other Experimental Methods to Determine Magneto-elastic Coupling Constants | p. 80 |
| Magneto-elastic Coupling Constants | p. 80 |
| Susceptibilities with Interactions | p. 82 |
| External and Internal Strains | p. 83 |
| Paramagnetic Spin-Phonon Interaction for 3d-Transition Metal Ions in Crystals | p. 87 |
| Nuclear Acoustic Resonance | p. 91 |
| Ultrasonics at Magnetic Phase Transitions | p. 93 |
| Magnetic Phase Transition | p. 94 |
| Spin-Phonon Coupling Mechanism | p. 94 |
| Critical Attenuation Coefficient | p. 95 |
| Sound Velocity Effects near Magnetic Phase Transitions | p. 101 |
| Spin Reorientation Phase Transition | p. 103 |
| Sound Propagation in the Spin-Density Wave Anti-ferromagnet Chromium | p. 106 |
| Ultrasonics at Structural Transitions | p. 109 |
| Charge Order | p. 110 |
| Cooperative Jahn-Teller Effect and Quadrupolar (Orbital) Transition | p. 119 |
| Case of Transition Metal Compounds | p. 121 |
| Case of Rare Earth Compounds | p. 125 |
| Case of Actinide Compounds | p. 139 |
| Effective Quadrupole - Quadrupole Interaction | p. 144 |
| Summary | p. 146 |
| Ferro-elastic and Martensitic Phase Transitions | p. 147 |
| Other Structural Phase Transitions | p. 151 |
| Piezo-distortive Ferro-electrics | p. 151 |
| Other Non-electronic Compounds | p. 151 |
| Strain Is Not Order Parameter | p. 152 |
| Conclusion | p. 156 |
| Metals and Semiconductors | p. 157 |
| Deformation Potential Coupling | p. 157 |
| Elastic Constants and Ultrasonic Attenuation, Case of qle < 1 | p. 159 |
| Electronic Redistribution Mechanism | p. 159 |
| Alpher-Rubin Effect in Magnetic Fields | p. 164 |
| Ultrasonic Propagation,Case of qle > 1 | p. 166 |
| Ultrasonic Attenuation and Dispersion | p. 166 |
| Geometric Resonances | p. 167 |
| Magneto-acoustic Quantum Oscillations | p. 169 |
| Theory | p. 169 |
| Applications | p. 172 |
| Ultrasonics in Semiconductors and Semimetals | p. 177 |
| Inter-valley Scattering Effect | p. 177 |
| Acousto-electric Effect | p. 177 |
| Sound Wave Amplification in Piezoelectric Semiconductors | p. 178 |
| Ultrasonic Amplification in Bismuth | p. 179 |
| Unstable Moment Compounds | p. 181 |
| Experimental Characterisation | p. 183 |
| Mixed Valence Compounds | p. 183 |
| Kondo Alloys and Kondo Lattices | p. 184 |
| Electron-Lattice Coupling in Mixed-Valence Systems | p. 187 |
| Electron-Phonon Coupling in Heavy Fermion Systems | p. 196 |
| Introduction | p. 196 |
| Kondo Volume Collapse | p. 198 |
| Special Sound Propagation Effects for Large ¿ | p. 199 |
| Scaling Approach for the Temperature Dependence of Thermal Quantities | p. 202 |
| Sound Wave Effects in Magnetic Fields, Meta-magnetic Transition | p. 213 |
| Non-Fermi Liquid Effects | p. 219 |
| Ultrasonics in Superconductors | p. 223 |
| Introduction | p. 223 |
| Electron-Strain Coupling in Superconductors | p. 225 |
| Elastic Constants | p. 226 |
| Ultrasonic Attenuation | p. 227 |
| Conventional Superconductors | p. 229 |
| High Temperature Superconductors | p. 237 |
| Sound Wave Interaction with the Flux Line Lattice | p. 241 |
| Ultrasonic Surface Wave Attenuation in Superconductors | p. 246 |
| Unconventional Superconductivity | p. 247 |
| Heavy Fermion Superconductivity | p. 249 |
| Other Unconventional Superconductors | p. 264 |
| Other Methods to Probe the Energy Gap Structure | p. 267 |
| Summary | p. 268 |
| Coupling to Collective Excitations | p. 271 |
| Plasmonsand Helicons | p. 271 |
| Dielectric Tensor | p. 271 |
| Plasma Polariton | p. 272 |
| Helicons and Alfven Waves | p. 274 |
| Helicon-Phonon Interaction | p. 275 |
| Magneto-elastic Waves | p. 277 |
| Ferromagnetic Spinwaves with Dipolar Interaction | p. 277 |
| Magneto-static Modes | p. 279 |
| Spinwave-Phonon Interaction | p. 280 |
| Magneto-elastic Gap | p. 282 |
| Experiments with Magneto-elastic Waves in a Ferrimagnet | p. 284 |
| High Power Level Effects | p. 286 |
| Sound Wave Experiments in Anti-ferromagnets | p. 286 |
| Ultrasonics in Low Dimensional Spin and Electronic Peierls-Systems | p. 291 |
| Magnetic Properties of Low Dimensional Spin Systems | p. 293 |
| Uniform Chain | p. 293 |
| Dimerized Chains | p. 295 |
| Temperature Dependence of Elastic Constants in Low Dimensional Spin Systems | p. 300 |
| Temperature Dependence of Elastic Constants in Quasi One-Dimensional Spin Systems | p. 300 |
| Case of Two-Dimensional Dimer Spin Systems | p. 303 |
| Magnetic Field Effects | p. 309 |
| Thermal Conductivity in Low Dimensional Spin Systems | p. 319 |
| Peierls and Spin Peierls Effects | p. 323 |
| Perovskite-Type Layer-Structure Materials | p. 326 |
| Bose-Einste in Condensation of Magnons in TlCuCl3 | p. 328 |
| Conclusion | p. 328 |
| Symmetry Effects with Sound Waves | p. 331 |
| Magnetic Field Induced Symmetry Breaking | p. 332 |
| Rotationally Invariant Magneto-elastic Effects | p. 335 |
| Magneto-acoustic Birefringence Effects | p. 340 |
| Voigt-Cotton-Mouton Geometry | p. 341 |
| Faraday Geometry | p. 343 |
| Acoustical Activity | p. 346 |
| Non-reciprocal Surface Acoustic Wave Effects | p. 347 |
| Surface Acoustic Wave Effects in the Integral and Fractional Quantum Hall Effect | p. 351 |
| Ultrasonic Propagation in Tunneling Systems | p. 357 |
| Crystalline Systems | p. 357 |
| Amorphous Systems | p. 360 |
| Recent Developments | p. 363 |
| Spin-Glass | p. 364 |
| Quasi-crystals | p. 364 |
| Conclusion and Outlook | p. 367 |
| Appendix | p. 369 |
| Mass Systems and Units | p. 369 |
| Wave Equation for Sound Waves | p. 371 |
| Elastic Constants and Symmetry Strains for the Crystal Classes | p. 373 |
| g-Factor, Steven's Factors,CEF Operators | p. 375 |
| 3d and 4f Ions: Landé gj Factor, Steven's Factors | p. 375 |
| Cubic CEF and Quadrupolar Operators | p. 376 |
| Ultrasonic Attenuation in Metals | p. 377 |
| Free Energy of Electrongas | p. 379 |
| Order-Disorder Phase Transition | p. 381 |
| References | p. 383 |
| Index | p. 419 |
| Index of Materials | p. 423 |
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