Theory of Crystal Space Groups and Lattice Dynamics

Theory of Crystal Space Groups and Infra-Red and Raman Lattice Processes of Insulating Crystals.- A. Scope and plan of the article.- B. The crystal space group.- C. Irreducible representations and vector spaces for finite groups.- D. Irreducible representations of the crystal translation group T.- E. Irreducible representations and vector spaces of space groups.- F. Reduction coefficients for space groups: Full group methods.- G. Reduction coefficients for space groups: Subgroup methods.- H. Space group theory and classical lattice dynamics.- I. Space-time symmetry and classical lattice dynamics.- J. Applications of results on symmetry adapted eigenvectors in classical lattice dynamics.- K. Space-time symmetry and quantum lattice dynamics.- L. Interaction of radiation and matter: Infra-red absorption and Raman scattering by phonons.- M. Group theory of diamond and rocksalt space groups.- N. Phonon symmetry, infra-red absorption and Raman scattering in diamond and rocksalt space groups.- O. Some aspects of the optical properties of crystals with broken symmetry: Point imperfections and external stresses.- P. Respice, adspice, prospice.- Q. Acknowledgements.- Appendix A: Complete tables of reduction coefficients-selection rules for rocksalt structure Of Oh5 (Tables A.1 to A.11).- Appendix B: Complete tables of reduction coefficients-selection rules for the diamond space group Oh7 (Tables B.1 to B.10).- Appendix C: Illustration of ray representation method: Point X in diamond (Table C.1).- Appendix D: Tables for the zincblende structure: $$Fbar 43m$$; Td2 (Tables D.1 to D.10).- References.- Index of key equations.- Index of tables.- Index of figures.- Sachverzeichnis (Deutsch-Englisch).- Subject Index (English-German).