1 Basics of classical Thermodynamics and Solid State Physics
1.1 Distribution functions
1.2 Free quantum mechanical particles and band structure
1.3 Thermodynamic potentials and Legendre Transformation
1.4 Free classical particles: The ideal gas
1.5 Effects of Mixing and Doping
1.6 Chemical equilibrium and reactions in solids
1.7 Short guide through the lecture
2 Advanced properties of mixing
2.1 Activity of regular solutions
2.2 Chemical potential and activity of ionic solutions/salts
2.2.1 Examples for activities
2.3 Debye-Hückel theory - activity coefficient of solutions
2.3.1 Debye-Hückel: The electrical potential of ions in solution
2.4 Short repetition: Phase diagrams
2.5 Binary ideal systems of liquid and gas: x,y- diagrams
2.6 Phase separation and fractional distillation
2.7 Liquid solid phase diagrams
2.8 G-plot and chemical potentials
2.9 Eutectic phase diagrams
2.10 Representation of phase diagrams for ternary systems
3 Chemical equilibrium
3.1 The principle of Le Chatelier
3.2 Quantitative approach for changes of p
3.3 Quantitative approach for changes of T
3.4 Electrochemical equilibrium
4 Particles in motion
4.1 Kinetic model of gases
4.2 Distribution of speeds
4.3 Special speed values for Maxwell distribution
4.4 Relaxation time and steady state
4.5 Simple collision theory and transport model
4.6 Non stationary condition
4.7 General fluxes and forces
4.8 Diffusion of point sources
4.9 Viscosity: Definition and simple implications
4.10 Laminar flow through a round tube: Poiseuille’s formula
5 Aspects of statistical thermodynamics
5.1 Configuration, weights, and probabilities
5.2 Distribution functions
5.2.1 The two-level system
5.3 The aim of statistical mechanics
5.4 The micro-canonical, canonical, and the grand-canonical ensemble
5.5 Calculation of the grand canonical ensemble
5.6 Calculation of the canonical ensemble
5.7 Calculation of the microcanonical ensemble
5.8 First results from the calculation of partition functions
5.9 The equipartition law of classical thermodynamics