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THEORY OF LATTICE DYNAMICS IN THE HARMONIC APPROXIMATIONPDF|Epub|txt|kindle电子书版本网盘下载

THEORY OF LATTICE DYNAMICS IN THE HARMONIC APPROXIMATION
  • A.A. MARADUDIN 著
  • 出版社： ACADEMIC PRESS
  • ISBN：
  • 出版时间：1963
  • 标注页数：319页
  • 文件大小：77MB
  • 文件页数：326页
  • 主题词：

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图书目录

Ⅰ．Introduction1

Ⅱ．Elements of the Theory of Lattice Dynamics5

1．Equations of Motion of a Vibrating Lattice5

2．The Cyclic Boundary Condition and Ledermann＇s Theorem21

3．Normal Coordinates of a Lattice29

4．Historical Survey38

Ⅲ．Theory of the Vibrational Frequency Spectra of Solids45

1．Introduction45

2．Expressions for Frequency Spectra53

3．Singularities in Frequency Spectra65

4．Topological Basis for Singularities in Frequency Spectra76

5．Approximate Spectrum Calculations84

6．Vibrational Frequency Spectra of Lattices with Long-Range Interactions Between Ions103

Ⅳ．Calculations of Thermodynamic Functions without the Use of the Frequency Spectrum117

1．Thirring＇s Expansion and Its Analytic Continuation117

2．Houston＇s Method121

Ⅴ．The Effect of Defects and Disorder on Lattice Vibrations129

1．Introduction129

2．Rayleigh＇s Theorems132

3．Mathematical Preliminaries136

4．Lattice Models to be Studied150

5．Effects of Defects on The Vibrations of Monatomic Lattices159

6．Effects of Defects on the Vibrations of Diatomic Lattices179

7．Disorder in Two-Component Lattices188

Ⅵ．The Effects of Surfaces on the Vibrations of Crystal Lattices213

1．Size Effect in the Low Temperature Specific Heat of Small Particles213

2．Surface Vibration Modes in a Semi-Infinite Continuum218

3．Surface Vibration Modes in Discrete Lattices219

4．Interactions of Defects with Boundary Surfaces227

Ⅶ．Scattering of X-Rays and Cold Neutrons by Lattice Vibrations231

1．Introduction231

2．Localization of an Atom about Its Equilibrium Position236

3．Theory of the Scattering of X-Rays by Thermal Lattice Vibrations242

4．Experimental Determination of Frequency Spectra by X-Ray Methods252

5．The Determination of Lattice Vibrational Spectra by Slow Neutron Scattering Experiments258

6．Experimental Determination of Frequency Spectra by Neutron Diffraction Methods264

7．Time-Relaxed Position and Momentum Correlation Functions273

8．Time-Relaxed Momentum Correlation Functions and Irrever-sibility281

REFERENCES289

AUTHOR INDEX299

SUBJECT INDEX305

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