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.