Condensed Matter Physics

  1. Crystal Structure and Symmetry
    1. Lattices and Unit Cells
      1. Bravais Lattices
        1. Two-Dimensional Lattices
          1. Oblique
            1. Rectangular
              1. Centered Rectangular
                1. Square
                  1. Hexagonal
                  2. Three-Dimensional Lattices
                    1. Cubic
                      1. Tetragonal
                        1. Orthorhombic
                          1. Monoclinic
                            1. Triclinic
                              1. Hexagonal
                                1. Rhombohedral
                              2. Primitive Unit Cell
                                1. Definition and Properties
                                  1. Choice of Unit Cell
                                    1. Lattice Parameters
                                    2. Conventional Unit Cell
                                      1. Relationship to Primitive Cell
                                        1. Advantages in Description
                                        2. Wigner-Seitz Cell
                                          1. Construction Method
                                            1. Physical Significance
                                              1. Voronoi Polyhedra
                                            2. Crystal Basis
                                              1. Atomic Positions
                                                1. Motif and Pattern
                                                  1. Structure Factor Implications
                                                  2. Symmetry Operations
                                                    1. Point Groups
                                                      1. Rotation Axes
                                                        1. Proper Rotations
                                                          1. Improper Rotations
                                                          2. Mirror Planes
                                                            1. Inversion Centers
                                                              1. Classification of Point Groups
                                                              2. Space Groups
                                                                1. Translational Symmetry
                                                                  1. Glide Planes
                                                                    1. Screw Axes
                                                                      1. Symmorphic and Nonsymmorphic Groups
                                                                      2. Mathematical Representation
                                                                        1. Matrix Notation
                                                                          1. Group Theory Applications
                                                                        2. Miller Indices and Crystal Directions
                                                                          1. Indexing Crystal Planes
                                                                            1. Miller Index Notation
                                                                              1. Intercept Method
                                                                              2. Crystal Directions
                                                                                1. Direction Indices
                                                                                  1. Zone Axis
                                                                                  2. Family of Planes and Directions
                                                                                    1. Equivalent Planes
                                                                                      1. Equivalent Directions
                                                                                    2. Reciprocal Lattice
                                                                                      1. Definition and Construction
                                                                                        1. Reciprocal Lattice Vectors
                                                                                          1. Relationship to Direct Lattice
                                                                                            1. Mathematical Properties
                                                                                            2. Brillouin Zones
                                                                                              1. First Brillouin Zone
                                                                                                1. Construction Method
                                                                                                  1. Wigner-Seitz Cell in Reciprocal Space
                                                                                                  2. Higher-Order Zones
                                                                                                    1. Physical Interpretation
                                                                                                      1. Electron States
                                                                                                        1. Phonon States
                                                                                                    2. Crystal Binding
                                                                                                      1. Van der Waals Bonding
                                                                                                        1. London Dispersion Forces
                                                                                                          1. Dipole-Dipole Interactions
                                                                                                            1. Role in Molecular Crystals
                                                                                                            2. Ionic Bonding
                                                                                                              1. Coulomb Interaction
                                                                                                                1. Madelung Constant
                                                                                                                  1. Lattice Energy
                                                                                                                  2. Covalent Bonding
                                                                                                                    1. Electron Sharing
                                                                                                                      1. Directionality
                                                                                                                        1. Hybridization
                                                                                                                        2. Metallic Bonding
                                                                                                                          1. Electron Sea Model
                                                                                                                            1. Delocalized Electrons
                                                                                                                              1. Conductivity Implications
                                                                                                                              2. Hydrogen Bonding
                                                                                                                                1. Nature and Strength
                                                                                                                                  1. Geometric Requirements
                                                                                                                                    1. Importance in Materials
                                                                                                                                  2. Experimental Determination of Crystal Structure
                                                                                                                                    1. X-ray Diffraction
                                                                                                                                      1. Principles of X-ray Scattering
                                                                                                                                        1. Experimental Setup
                                                                                                                                          1. Powder Diffraction
                                                                                                                                            1. Single Crystal Diffraction
                                                                                                                                          2. Bragg's Law
                                                                                                                                            1. Derivation
                                                                                                                                              1. Application to Crystal Planes
                                                                                                                                                1. Reflection Conditions
                                                                                                                                                2. Laue Condition
                                                                                                                                                  1. Vector Formulation
                                                                                                                                                    1. Reciprocal Space Interpretation
                                                                                                                                                    2. Structure Factor
                                                                                                                                                      1. Definition and Calculation
                                                                                                                                                        1. Atomic Form Factors
                                                                                                                                                          1. Systematic Absences
                                                                                                                                                          2. Neutron Diffraction
                                                                                                                                                            1. Scattering Mechanisms
                                                                                                                                                              1. Magnetic Structure Determination
                                                                                                                                                              2. Electron Diffraction
                                                                                                                                                                1. Surface Sensitivity
                                                                                                                                                                  1. LEED and RHEED Techniques

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                                                                                                                                                              1. Introduction to Condensed Matter Physics

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                                                                                                                                                              3. Lattice Dynamics and Phonons