“I have done a terrible thing, I have postulated a particle that can not be detected.”
― Wolfgang Pauli
About this course:
- Lecturer: Prof. Dr. S. Linden
- Year: 2016
- Difficulty:
- Course page: eCampus
- Tutor: M. Peter
- Literature:
A fun course that went into more detail on concepts already seen in an introductory course on atomic physics, that is lattice structures, solid-state physics, and quantum mechanics.
Exercise 1:
Keywords: Van der Waals Interaction, Crystal Binding, Dipole-Dipole Interaction, Harmonic Oscillator, Diagonalization, Bravais Lattices, N-fold Axis, Crystal Systems, SC, BCC, FCC, Unit Cells, Primitive Unit Cells, Primitive Translation Vectors, Nearest Neighbors, Nearest Neighbour Distance, Density of Surface Atoms, Point Symmetry Operations of a Cube
- Van der Waals Interaction
- Symmetries in Bravais Lattices
- Simple Crystal Structures
- Surface Density of Atoms
- Point Symmetry
Exercise 2:
Keywords: Reciprocal Lattices, FCC, BCC, Hexagonal Space Lattice, Primitive Translation Vectors, Primitive Cell Volume, First Brillouin Zone, X-Ray Diffraction, CsI Crystal, Atomic Form Factor, Caesium Ion, Jodium Ion, Structure Factor, Diffraction Peaks, Specific Heat Capacity, Optical Phonons, Density of States, Einstein Approximation, Graphite Surface, Monolayer, 2D Crystal, Dispersion, Debye Approximation, Average Phonon Number
- Reciprocal Lattices
- X-Ray Diffraction from a CsI Crystal
- Specific Heat Capacity of Optical Phonons
- Specific Heat Capacity of a 2D Crystal
- Phonon Number
Exercise 3:
Keywords: Density of States, Phonons, Periodic Boundary Conditions, Fixed Boundary Conditions, Electron Gas, Quantum Well, Quantum Wire, Free (Bloch-like) Propagation, Fermi-Dirac Distribution, Sommerfeld Expansion, Chemical Potential, Total Number of Particles, Fermi Energy, Fermi Temperature, Electron Gas in Gold, He-3 Atoms
- Density of States of Phonons
- Density of States in Lower Dimensional Electron Gases
- Fermi-Dirac Distribution
- Chemical Potential in Lower Dimensions
- Fermi Energy and Fermi Temperature
Exercise 4:
Keywords: 2D Simple Cubic Lattice, Energy Band Structure, Reciprocal Lattice, Energy Dispersion Relation, Free Conduction Electron, First three Brillouin Zones, Fermi Surface, Free and Quasi-free Electrons, Crystal Potential, Energy Gap, One-dimensional Crystal, Tight-binding Model, Electronic Band Structure, Electronic Density of States, Effective Mass, Electron and Hole Properties, Quasi-momentum
- Energy Band Structure in a 2D Simple Cubic Lattice
- Energy Gap of a Square Lattice
- Tight-Binding Model
- Electron and Hole Properties
Exercise 5:
Keywords: Equation of Motion, Electrons in a Homogeneous Magnetic Field, Cyclotron Resonance, Effective Mass, Relaxation Time, Complex Conductivity, Hall Effect, Hall Voltage, Single Band Material, Hall Coefficient, Mobility, Band Gap, Semiconductors, Silicon Crystal, Doping, Fermi Level
- Electrons in Homogeneous Magnetic Fields
- Classical Theory of Cyclotron Resonance
- Hall Effect
- Properties of Doped Silicon
Exercise 6:
Keywords: Silicon Junction, Depletion Layer Width, Maximum Field, Bias, Space Charge Distribution, Electric-Field Distribution, Capacitance, Semiconductor Devices, Metal-Semiconductor Contacts, Energy Band Diagram, Work Functions, Fermi Level, Vacuum Level, Thermal Equilibrium
- P-N Junction
- Metal-Semiconductor Contact