Materialphysik auf atomarer Skala 2

What it is about

In this module you investigate the arrangement and movement of atoms in solids with a focus on oscillatory (phonons) and diffusive dynamics. By the end you will be able to solve atomic equations of motion, interpret phonon dispersions and densities of states, and apply basic diffusion mechanisms and their modeling.

What you will be able to do

• Solve classical atomic equations of motion in crystals
• Navigate Brillouin zones of essential Bravais lattices
• Reproduce typical dispersion relations and recognize deviations
• Model measurable phonon frequencies with Born–von–Karman models
• Understand the influence of symmetries on normal modes
• Establish connections between dispersions and density of states (van Hove singularities)
• Use phonon density of states to calculate vibrating thermodynamics
• Explain the effects of anharmonicity and disorder on phonons
• Derive the diffusion equation from a random walk
• Apply concepts of jump diffusion (transition state theory, Arrhenius behavior, encounter model)
• Understand characteristic diffusion mechanisms in elementary systems and compounds

What the module consists of

• VorlesungPresentation and discussion of the learning content; script as an supplement

Teaching method

• Tafelvortrag und mündliche VorlesungDetailed discussion of phenomena and active engagement through comprehension questions
• Selbststudium mit VorlesungsskriptReview and deepening of the lecture material