Magnetic and Dielectric Materials

  1. Microscopic and Quantum Theories
    1. Quantum Theory of Paramagnetism
      1. Quantum States and Magnetic Moments
        1. Brillouin Function
          1. High Temperature Limit
            1. Low Temperature Limit
              1. Comparison with Classical Theory
              2. Quantum Theory of Ferromagnetism
                1. Heisenberg Model
                  1. Exchange Integral
                    1. Quantum Mechanical Exchange Interaction
                      1. Spin Waves
                        1. Magnons
                          1. Stoner Model
                            1. Itinerant Electron Ferromagnetism
                              1. Stoner Criterion
                                1. Band Theory of Ferromagnetism
                              2. Clausius-Mossotti Relation
                                1. Derivation for Dielectrics
                                  1. Physical Meaning
                                    1. Local Field Corrections
                                      1. Limitations and Applications
                                        1. Lorentz-Lorenz Equation
                                        2. Crystal Field Theory
                                          1. Crystal Field Splitting
                                            1. Ligand Field Effects
                                              1. Magnetic Anisotropy from Crystal Fields
                                              2. Hund's Rules
                                                1. Maximum Multiplicity Rule
                                                  1. Maximum Orbital Angular Momentum Rule
                                                    1. Total Angular Momentum Rule
                                                      1. Applications to Transition Metal Ions

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                                                    3. Magnetic Materials

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                                                    5. Material Characterization Techniques