Solid State Physics

  1. Lattice Dynamics and Phonons
    1. Classical Lattice Dynamics
      1. Monatomic Linear Chain
        1. Equation of Motion
          1. Normal Mode Analysis
            1. Dispersion Relation
              1. Boundary Conditions
              2. Diatomic Linear Chain
                1. Two-Atom Basis
                  1. Acoustic Branch
                    1. Optical Branch
                      1. Frequency Gap
                      2. Three-Dimensional Lattices
                        1. Normal Coordinates
                          1. Polarization Vectors
                            1. Acoustic and Optical Modes
                          2. Quantum Theory of Lattice Vibrations
                            1. Quantization of Normal Modes
                              1. Phonon Creation and Annihilation Operators
                                1. Phonon Number States
                                  1. Zero-Point Motion
                                  2. Phonon Dispersion Relations
                                    1. Experimental Determination
                                      1. Inelastic Neutron Scattering
                                        1. Inelastic X-ray Scattering
                                          1. Raman Spectroscopy
                                          2. Theoretical Calculations
                                            1. Force Constant Models
                                              1. Ab Initio Methods
                                              2. Phonon Density of States
                                                1. Calculation Methods
                                                  1. Van Hove Singularities
                                                2. Phonon Interactions
                                                  1. Phonon-Phonon Interactions
                                                    1. Anharmonic Terms
                                                      1. Three-Phonon Processes
                                                        1. Four-Phonon Processes
                                                        2. Selection Rules
                                                          1. Normal Processes
                                                            1. Umklapp Processes
                                                            2. Phonon Lifetime
                                                              1. Decay Mechanisms
                                                                1. Temperature Dependence

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                                                            4. Crystal Binding and Elastic Properties

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                                                            6. Thermal Properties