Course detail

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

CEITEC VUT-DS112AAcad. year: 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.

Language of instruction

English

Mode of study

Not applicable.

Entry knowledge

advanced knowledge of classical and quantum mechanics

Rules for evaluation and completion of the course

Students will be graded according to their success in solving practical tasks. They must receive at least 50% of the maximum number of points (in total).

Aims

Not applicable.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

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

Recommended reading

Not applicable.