Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- Physical constants and conversion factors
- 1 Some fundamentals
- 2 The harmonic approximation and lattice dynamics of very simple systems
- 3 Dynamics of diatomic crystals: general principles
- 4 How far do the atoms move?
- 5 Lattice dynamics and thermodynamics
- 6 Formal description
- 7 Acoustic modes and macroscopic elasticity
- 8 Anharmonic effects and phase transitions
- 9 Neutron scattering
- 10 Infrared and Raman spectroscopy
- 11 Formal quantum-mechanical description of lattice vibrations
- 12 Molecular dynamics simulations
- A The Ewald method
- B Lattice sums
- C Bose-Einstein distribution and the thermodynamic relations for phonons
- D Landau theory of phase transitions
- E Classical theory of coherent neutron scattering
- F Time correlation functions
- G Commutation relations
- H Published phonon dispersion curves for non-metallic crystals: update of previous compilation
- References
- Index
C - Bose-Einstein distribution and the thermodynamic relations for phonons
Published online by Cambridge University Press: 17 February 2010
- Frontmatter
- Contents
- Preface
- Acknowledgements
- Physical constants and conversion factors
- 1 Some fundamentals
- 2 The harmonic approximation and lattice dynamics of very simple systems
- 3 Dynamics of diatomic crystals: general principles
- 4 How far do the atoms move?
- 5 Lattice dynamics and thermodynamics
- 6 Formal description
- 7 Acoustic modes and macroscopic elasticity
- 8 Anharmonic effects and phase transitions
- 9 Neutron scattering
- 10 Infrared and Raman spectroscopy
- 11 Formal quantum-mechanical description of lattice vibrations
- 12 Molecular dynamics simulations
- A The Ewald method
- B Lattice sums
- C Bose-Einstein distribution and the thermodynamic relations for phonons
- D Landau theory of phase transitions
- E Classical theory of coherent neutron scattering
- F Time correlation functions
- G Commutation relations
- H Published phonon dispersion curves for non-metallic crystals: update of previous compilation
- References
- Index
Summary
- Type
- Chapter
- Information
- Introduction to Lattice Dynamics , pp. 207 - 209Publisher: Cambridge University PressPrint publication year: 1993