Introduction to Lattice Dynamics

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Cambridge University Press, Oct 21, 1993 - Science - 258 pages
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The vibrations of atoms inside crystals - lattice dynamics - is basic to many fields of study in the solid-state and mineral sciences. Lattice dynamics is becoming increasingly important for work on mineral stability. This book provides a self-contained text that introduces the subject from a basic level and then takes the reader through real applications of the theory. The book is aimed at advanced undergraduates, graduate students and research workers in the earth and solid-state sciences who need to incorporate lattice dynamic treatments into their work. Applications include the use of lattice dynamics instabilities to study the origin of phase transitions in crystals and the use of vibrational spectra to obtain information about inter-atomic forces.
 

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Contents

Some fundamentals
1
The harmonic approximation and lattice dynamics
18
general principles
36
How far do the atoms move?
55
Lattice dynamics and thermodynamics
64
Formal description
80
Acoustic modes and macroscopic elasticity
95
Anharmonic effects and phase transitions
101
Formal quantummechanical description of lattice vibrations
167
Time and position dependence
174
Appendix A The Ewald method
195
Appendix B Lattice sums
202
Landau theory of phase transitions
210
Appendix E Classical theory of coherent neutron scattering
221
Appendix F Time correlation functions
229
Appendix H Published phonon dispersion curves
236

Neutron scattering
132
Infrared and Raman spectroscopy
151

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Page 247 - Glass AM 1977 Principles and Applications of Ferroelectrics and Related Materials (Oxford: Oxford University Press) [179] von Hippel A, Breckenridge RG, Chesley FC and Tisza L 1946 Ind.

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