The Crystal Lattice

The Crystal Lattice : Phonons, Solitons, 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

  • 130 x 250mm | 666g
  • Weinheim, Germany
  • 3527603085
  • 9783527603084

Table of contents

INTRODUCTION Geometry of crystal lattice CLASSICAL DYNAMICS OF CRYSTAL LATTICE Vibrations of monoatomic and polyatomic lattices Models of crystals of various dimensions Frequency spectrum and its connection with Green's function Nonlinear dynamics of 1D crystal QUANTUM MECHANICS Quantization of crystal vibrations Interaction of excitations in a crystal Quantum crystals Dynamics of molecular crystals with quantum tunneling states DEFECTS Point defects Dislocations and disclinations Localization of vibrations at point defects and near extended defects Elastic field of dislocations Dislocation theory of elastic twinning Dislocation dynamics
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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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