J. L. Birman

Theory of Crystal Space Groups and Lattice Dynamics (eBook, PDF)

Infra-Red and Raman Optical Processes of Insulating Crystals

• Format: PDF

Produktbeschreibung

Reissue of Encyclopedia of Physics/Handbuch der Physik, Vol. XXV/2b I am very pleased that my book is now to be reprinted and rebound in a new format which should make it accessible at a modest price to students and active researchers in condensed matter physics. In writing this book I had in mind an audience of physicists and chemists with no previous deep exposure to symmetry analysis of crystalline matter, non to the use of symmetry in simplifying and refining predictions of the results of optical experiments. Hence the book was written to explain and illustrate in all necessary detail how to: 1) describe the space group symmetry in terms of space group symmetry operations; 2) obtain irreducible representations and selection rules for optical infra-red and Raman and other transition processes. On the physical side I redeveloped the traditional theory of classical and quantum lattice dynamics, illustrating how space-time symmetry designations in the equations of motion can: 1) simplify and rationalize calculations of the classical eigenvectors of the dynamical equation; 2) permit classification of the eigenstates of the quantum lattice-dynamic pro blem; 3) give specific selection rules for optical infra-red and Raman lattice processes, and thus make "go, no-go" predictions including polarization of absorbed or scattered radiation; and 4) simplify the modern many-body theories of optical processes.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 538
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9783642697074
• Artikelnr.: 53136039

Inhaltsangabe

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).