Solid State Physics

  1. Thermal Properties
    1. Lattice Heat Capacity
      1. Classical Theory
        1. Equipartition Theorem
          1. Dulong-Petit Law
            1. Limitations at Low Temperature
            2. Einstein Model
              1. Quantum Harmonic Oscillators
                1. Einstein Temperature
                  1. High and Low Temperature Limits
                  2. Debye Model
                    1. Continuum Approximation
                      1. Debye Cutoff Frequency
                        1. Debye Temperature
                          1. T³ Law at Low Temperature
                          2. Comparison with Experiment
                            1. Deviations from Models
                              1. Anharmonic Effects
                            2. Thermal Expansion
                              1. Anharmonic Effects
                                1. Asymmetric Potential Wells
                                  1. Grüneisen Parameter
                                  2. Thermal Expansion Coefficient
                                    1. Linear Expansion
                                      1. Volume Expansion
                                        1. Temperature Dependence
                                        2. Negative Thermal Expansion
                                          1. Mechanisms
                                        3. Thermal Conductivity
                                          1. Heat Transport Mechanisms
                                            1. Phonon Conduction
                                              1. Electronic Conduction
                                              2. Kinetic Theory Approach
                                                1. Mean Free Path
                                                  1. Phonon Scattering Mechanisms
                                                  2. Temperature Dependence
                                                    1. High Temperature Behavior
                                                      1. Low Temperature Behavior
                                                      2. Thermal Resistance
                                                        1. Umklapp Scattering
                                                          1. Boundary Scattering
                                                            1. Defect Scattering

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                                                        5. Lattice Dynamics and Phonons

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                                                        7. Free Electron Theory