The Crystal Lattice

The Crystal Lattice : Phonons, Solitions, Dislocations

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The aim of the book is to describe and analyse peculiarities of classical and quantum dynamics of a crystal as a spatially periodic structure. 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 state physics during the last decades. It is shown that the crystal properties are sensitive to the dimension of the crystal and its defect structure, and depend slightly on whether the periodic structure consists of atoms, or electrical dipoles, or magnetic moments (spins). Considerable attention is devoted to the dislocation mechanics as a basis of theory of plasticity and numerous technological applications of crystal materials.
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Product details

  • Hardback | 326 pages
  • 180 x 247 x 19.05mm | 822g
  • Weinheim, Germany
  • English
  • Illustrations
  • 3527402209
  • 9783527402205

Table of contents

CLASSICAL DYNAMICS OF A CRYSTAL LATTICE. Vibrations of Monatomic Lattices. Models of Crystals of Various Dimensions. Vibrations of Polyatomic Lattices. Frequency Spectrum and Its Relation to the Green Function. Nonlinear Dynamics of One-Dimensional Crystals. QUANTUM MECHANICS OF CRYSTALS. Quantization of Crystal Vibrations. Interaction of Excitations in a Crystal. Quantum Crystals. CRYSTAL LATTICE DEFECTS. Point Defects. Linear Crystal Defects. Localization of Vibrations. Localization of Vibrations near Extended Defects. Elastic Field of Dislocations in a Crystal. Dislocation Dynamics. Subject Index.
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Review quote

... this book ... presents a unified treatment of both classical and recent aspecths of crystal dynamics. It will be of great help to solidstate physics graduate students, but also to well-trained researchers in this field. Gilles Horowitz Laboratoire des Materiaux Moleculaires, CNRS, Thiais
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