Phonon Dispersion Relations in Insulators

This phonon atlas presents a collection of phonon-dispersion and density-of­ states curves of more than a hundred insulating crystals. It grew out of an appendix to a handbook article on phonon spectra [2.1J from which it was fin­ ally separated mainly because this phonon atlas provides a rather self-con­ tained tool for every scientist who is working in the field of dynamical properties of solids. He often may find it' useful to have a handy documen­ tation of the experimental phonon dispersion curves which have been measured so far, together with information on calculated dispersion relations and densities of states. The book will be found to be incomplete by readers who are interested not only in phonon frequencies of a specific crystal but would also like to know about related properties such as elastic and dielectric constants. This is, at the present time, beyond the scope of this volume, but the authors would welcome all suggestions and criticism which could be considered for a forth­ coming edition. Furthermore, we would be pleased to provide interested readers with information about phonon spectra which came to our knowledge after completion of the manuscript. On the other hand, we will be most grateful for all information about phonon dispersion curves which is missing in our collection or new data for further editions.

Contenu

I. Summary of Theory of Phonons.- 1. Introduction.- 2. Phonon Dispersion Relations and Phonon Models.- 2.1 Formal Force Constants (FCM).- 2.2 Rigid Ion Model (RIM).- 2.3 Dipole Models (DM).- 2.3.1 Shell Model (SM).- 2.3.2 Extended Shell Model (ESM).- 2.3.3 Overlap Shell Model (OSM).- 2.3.4 Deformation Dipole Model (DDM).- 2.3.5 Deformable Shell Model (DEFSM).- 2.3.6 Breathing Shell Model (BSM) and Double Shell Model (DSM).- 2.3.7 Quadrupole Shell Model (QSM).- 2.3.8 Bond Charge Model (BCM).- 2.3.9 Valence Force Field Model (VFFM).- 2.3.10 Valence-Overlap Shell Model (VSM and VOSM).- 2.3.11 Three-Body-Force Shell Model (TSM).- 2.4 Microscopic Theory and Model s.- 2.5 Abbreviations Used in Figure Captions.- 2.6 Conversion Factors Between Units Used to Express Phonon Energies.- II. Phonon Atlas of Dispersion Curves and Densities of States.- 3. Rare-Gas Crystals.- 4. Alkali Halides (Rock Salt Structure).- 5. Metal Oxides (Rock Salt Structure).- 6. Transition Metal Compounds (Rock Salt Structure).- 7. Other Cubic Crystals (Rock Salt Structure).- 8. Cesium Chloride Structure Crystals.- 9. Diamond Structure Crystals.- 10. Zinc-Blende Structure Crystals.- 11. Wurtzite Structure Crystals.- 12. Fluorite Structure Crystals.- 13. Rutile Structure Crystals.- 14. ABO3 and ABX3 Crystals.- 15. Layered Structure Crystals.- 16. Other Low-Symmetry Crystals.- 17. Molecular Crystals.- 18. Mixed Crystals.- 19. Organic Crystals.- References.