Detail předmětu

Prediction of mechanical and magnetic properties of solids from their electronic structure

CEITEC VUT-DS112AAk. rok: 2024/2025

Physical, chemical and mechanical properties of matter are predetermined by their electronic structure. This course is intended to show the students, how to predict mechanical and physical properties of materials using first-principles methods, based on the density functional theory.

The practical tasks solved by students will cover:

  • The ground-state properties: Make a model of a selected crystal and calculate the equilibrium lattice parameter and the bulk modulus.
  • Effect of magnetism: Find the ground state in selected crystals (iron, chromium, etc.) with and without magnetism.
  • Electronic structure of crystals: Calculate the charge density, density of states and the band structure of selected crystals.
  • Relaxations: Make a model of H2 molecule and calculate its bond length and the dissociation energy. Create a model of the (100) surface of fcc crystal of Ni and calculate the surface energy.
  • Lattice dynamics: Compute the phonon spectrum of fcc Al using a supercell approach. Calculate vibrational frequency of H2 molecule.  

Jazyk výuky

angličtina

Vstupní znalosti

Pokročilá znalost klasické a kvantové mechaniky

Pravidla hodnocení a ukončení předmětu

Hodnocení bude provedeno na základě celkového dosaženého počtu bodů za úkoly, které budou zadávány v průběhu semestru. Studenti musí získat minimálně 50% bodů.

Základní literatura

S. Elliot: The Physiscs and Chemistry of Solids, Wiley, Chichester, 2000, ISBN: 978-0-471-98195-4
R.M. Martin: Electronic structure, Cambridge University Press, 2004, ISBN: 978-0521782852
Ch. Kittel, Introduction to Solid State Physics, John Wiley & Sons, 2005, ISBN 0-471-41526-X  (EN)