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.
Author(s): Martin T. Dove
Series: Cambridge Topics in Mineral Physics and Chemistry
Publisher: CUP
Year: 1993
Language: English
Pages: 276
Contents......Page 9
Preface......Page 13
Acknowledgements......Page 16
Physical constants and conversion factors......Page 17
Some fundamentals......Page 19
The harmonic approximation and lattice dynamics of very simple systems......Page 36
Dynamics of diatomic crystals: general principles......Page 54
4 How far do the atoms move?......Page 73
Lattice dynamics and thermodynamics......Page 82
Formal description......Page 98
Acoustic modes and macroscopic elasticity......Page 113
Anharmonic effects and phase transitions......Page 119
Neutron scattering......Page 150
Infrared and Raman spectroscopy......Page 169
Formal quantum-mechanical description of lattice vibrations......Page 185
Molecular dynamics simulations......Page 197
The Ewald method......Page 213
Lattice sums......Page 220
Bose-Einstein distribution and the thermodynamic relations for phonons......Page 225
Landau theory of phase transitions......Page 228
Classical theory of coherent neutron scattering......Page 239
Time correlation functions......Page 247
Commutation relations......Page 251
Published phonon dispersion curves for non-metallic crystals: update of previous compilation......Page 254
References......Page 258
Index......Page 272
