LEADER 05330nam 2200649 a 450 001 9911020100003321 005 20200520144314.0 010 $a9786610854035 010 $a9781280854033 010 $a1280854030 010 $a9783527606931 010 $a3527606939 035 $a(CKB)1000000000377461 035 $a(EBL)482125 035 $a(OCoLC)70115012 035 $a(SSID)ssj0000133167 035 $a(PQKBManifestationID)11139151 035 $a(PQKBTitleCode)TC0000133167 035 $a(PQKBWorkID)10041146 035 $a(PQKB)11280637 035 $a(MiAaPQ)EBC482125 035 $a(Perlego)2777938 035 $a(EXLCZ)991000000000377461 100 $a20051028d2005 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe crystal lattice $ephonons, solitons, dislocations, superlattices /$fArnold M. Kosevich 205 $a2nd, rev. & updated ed. 210 $a[Berlin ;$aNew York] $cWiley-VCH$dc2005 215 $a1 online resource (359 p.) 300 $aDescription based upon print version of record. 311 08$a9783527606672 311 08$a352760667X 311 08$a9783527405084 311 08$a3527405089 320 $aIncludes bibliographical references (p. [341]-342) and index. 327 $aThe Crystal Lattice; Contents; Prefaces; Part 1 Introduction; 0 Geometry of Crystal Lattice; 0.1 Translational Symmetry; 0.2 Bravais Lattice; 0.3 The Reciprocal Lattice; 0.4 Use of Penetrating Radiation to Determine Crystal Structure; 0.4.1 Problems; Part 2 Classical Dynamics of a Crystal Lattice; 1 Mechanics of a One-Dimensional Crystal; 1.1 Equations of Motion and Dispersion Law; 1.1.1 Problems; 1.2 Motion of a Localized Excitation in a Monatomic Chain; 1.3 Transverse Vibrations of a Linear Chain; 1.4 Solitons of Bending Vibrations of a Linear Chain; 1.5 Dynamics of Biatomic 1D Crystals 327 $a1.6 Frenkel-Kontorova Model and sine-Gordon Equation1.7 Soliton as a Particle in 1D Crystals; 1.8 Harmonic Vibrations in a 1D Crystal Containing a Crowdion (Kink); 1.9 Motion of the Crowdion in a Discrete Chain; 1.10 Point Defect in the 1D Crystal; 1.11 Heavy Defects and 1D Superlattice; 2 General Analysis of Vibrations of Monatomic Lattices; 2.1 Equation of Small Vibrations of 3D Lattice; 2.2 The Dispersion Law of Stationary Vibrations; 2.3 Normal Modes of Vibrations; 2.4 Analysis of the Dispersion Law; 2.5 Spectrum of Quasi-Wave Vector Values; 2.6 Normal Coordinates of Crystal Vibrations 327 $a2.7 The Crystal as a Violation of Space Symmetry2.8 Long-Wave Approximation and Macroscopic Equations for the Displacements Field; 2.9 The Theory of Elasticity; 2.10 Vibrations of a Strongly Anisotropic Crystal (Scalar Model); 2.11 "Bending" Waves in a Strongly Anisotropic Crystal; 2.11.1 Problem; 3 Vibrations of Polyatomic Lattices; 3.1 Optical Vibrations; 3.2 General Analysis of Vibrations of Polyatomic Lattice; 3.3 Molecular Crystals; 3.4 Two-Dimensional Dipole Lattice; 3.5 Optical Vibrations of a 2D Lattice of Bubbles; 3.6 Long-Wave Librational Vibrations of a 2D Dipole Lattice 327 $a3.7 Longitudinal Vibrations of 2D Electron Crystal3.8 Long-Wave Vibrations of an Ion Crystal; 3.8.1 Problems; 4 Frequency Spectrum and Its Connection with the Green Function; 4.1 Constant-Frequency Surface; 4.2 Frequency Spectrum of Vibrations; 4.3 Analysis of Vibrational Frequency Distribution; 4.4 Dependence of Frequency Distribution on Crystal Dimensionality; 4.5 Green Function for the Vibration Equation; 4.6 Retarding and Advancing Green Functions; 4.7 Relation Between Density of States and Green Function; 4.8 The Spectrum of Eigenfrequencies and the Green Function of a Deformed Crystal 327 $a4.8.1 Problems5 Acoustics of Elastic Superlattices: Phonon Crystals; 5.1 Forbidden Areas of Frequencies and Specific Dynamic States in such Areas; 5.2 Acoustics of Elastic Superlattices; 5.3 Dispersion Relation for a Simple Superlattice Model; 5.3.1 Problem; Part 3 Quantum Mechanics of Crystals; 6 Quantization of Crystal Vibrations; 6.1 Occupation-Number Representation; 6.2 Phonons; 6.3 Quantum-Mechanical Definition of the Green Function; 6.4 Displacement Correlator and the Mean Square of Atomic Displacement; 6.5 Atomic Localization near the Crystal Lattice Site 327 $a6.6 Quantization of Elastic Deformation Field 330 $aThe aim of this successful book is to describe and analyse peculiarities of classical and quantum dynamics of a crystal as a spatially periodic structure. In the second revised and updated edition, the author focuses on low-dimensional models of crystals and on superlattices. Both traditional questions like the spectrum of vibrations, the idea of phonon gas, dislocations etc. and new aspects like the theory of quantum crystals, solitons in 1D crystals, dislocation theory of melting of 2D crystals etc. are discussed. The author gives an explanation of a set of phenomena which entered into solid 606 $aCrystal lattices 615 0$aCrystal lattices. 676 $a548/.81 700 $aKosevich$b Arnold Markovich$049035 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911020100003321 996 $aThe crystal lattice$94416264 997 $aUNINA