000 04426cam a22002775i 4500
005 20160128114739.0
008 121227s1982 gw | s |||| 0|eng d
020 _a9783642817816
020 _a9783642817830 (print)
041 _aeng
082 0 4 _a530.474
_bBRU
100 1 _aBrĂ¼esch, Peter.
_98002
245 1 0 _aPhonons: Theory and Experiments
_bLattice Dynamics and Models of Interatomic Forces /
_cby Peter BrĂ¼esch.
250 _a1sted:
260 _aNewyork
_bSpringer
_c1982
300 _a261p
440 _aPhonons: Theory and Experiments /
_98003
490 1 _aSpringer Series in Solid-State Sciences,
505 0 _a1 Introduction -- 1.1 The Static Lattice Model and Its Limitations -- 1.2 Early History of Lattice Dynamics -- 1.3 The Adiabatic and Harmonic Approximations -- 1.4 Organization of the Book -- 1.5 Problems -- 2. Dynamics of the Linear Diatomic Chain -- 2.1 Classical Mechanics -- 2.2 Quantum Mechanics -- 2.3 Problems -- 3. Dynamics of Three-Dimensional Crystals -- 3.1 Equations of Motion and Atomic Force Constants -- 3.2 Dynamical Matrix and Eigenvectors -- 3.3 Periodic Boundary Conditions, Reciprocal Lattices and Brillouin Zones -- 3.4 Normal Coordinates, Phonons -- 3.5 Density of States and Specific Heat -- 3.6 Connection of Lattice Dynamics with the Theory of Elasticity -- 3.7 An Illustration: Phonon Dispersion of Monoatomic Crystals with fcc Structure -- 3.8 Problems -- 4. Interatomic Forces and Phonon Dispersion Curves -- 4.1 Lattice Dynamics of the Solid Inert Gases -- 4.2 The Rigid-Ion Model for Ionic Crystals -- 4.3 The Shell Model -- 4.4 The Adiabatic Bond Charge Model -- 4.5 The Valence Force Model -- 4.6 Internal and External Vibrations in Molecular Crystals -- 4.7 Phonons in Metals -- 4.8 Problems -- 5. Anharmonicity -- 5.1 The Anharmonic Diatomic Molecule -- 5.2 The Anharmonic Linear Chain -- 5.3 The Anharmonic Three-Dimensional Crystal -- 5.4 The Self-Consistent Harmonic Approximation (SCHA) -- 5.5 Response Function and Perturbation Theory of Phonon-Phonon Interactions -- 5.6 Problems -- A Periodicity of Eigenfrequencies and Atomic Displacements in Reciprocal Space -- B An Important Lattice Sum -- C Hamiltonian for the Diatomic Chain in Terms of Normal Coordinates -- D Commutator Relations for Normal Coordinates -- E The Occupation Number Representation -- F Restriction on Atomic Force Constants Which Follow from the Space Group Symmetry of the Crystal -- G Dynamical Matrix -- J Force Constants for Central Forces -- K Evaluation of the Coulomb Matrix Using Ewald's Method -- L The Valence Force Model -- M The Saddle-Point Method -- N The Free Energy in the Harmonic or Quasiharmonic Approximation -- O The Self-Consistent Harmonic Approximation (SCHA) -- P Expansion Coefficients of Anharmonic Terms -- Q Constants and Units -- General References -- References.
520 _aThis two-volume treatment grew out of lectures the author gave at the "Ecole Poly technique Federale de Lausanne" during the years 1975-1980 for graduate students in experimental physics in their last year of study. It is written by an experimentalist with some interest in theory and is ad dressed mainly to experimentalists, but also to theoreticians interested in experiments. This treatment tries to bridge the gap between theory and experiments; it should assist experimentalists in the interpretation of their data in the vast field of lattice dynamics. An attempt has been made to provide not only the basic concepts but also a working knowledge in this field of solid-state physics. In this first volume, the basic concepts of the physics of phonons are developed and illustrated by many examples; it provides the background necessary for the interpretation of most experimental results. The second volume, which is in preparation, is devoted to experimental techniques, the interpretation of experiments, and discussion of phenomena which are directly related with phonons. The book is designed for introductory courses at the graduate level. It is believed that the book will also prove useful to those graduate students starting research in this or related fields, as well as to many workers already active in this branch of solid-state physics.
650 0 _aPhysics.
_98004
650 1 4 _aPhysics.
_98005
650 2 4 _aPhase Transitions and Multiphase Systems.
_98006
856 4 0 _uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio11316564
942 _cBK
999 _c29542
_d29542