Course detail

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

CEITEC VUT-DS112AAcad. year: 2025/2026

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

The practical tasks solved by students will cover:

  • Modelling the crystal structure: How to create a model of selected crystal using translational vectors and crystal basis.
  • The ground-state properties: How to calculate ground-state parameters of a selected crystal (the equilibrium lattice parameter and the bulk or other elastic moduli).
  • Magnetism: How to find the ground state in magnetic crystals (iron, chromium, etc.).
  • Electronic structure of crystals: How to calculate the charge density, density of states and the band structure of selected crystals.
  • Molecules: How to build a model of a molecule and calculate its bond length and the dissociation energy.
  • Surfaces: How to create a model of selected low-index surfaces in fcc or bcc crystals and calculate its surface energy.
  • Lattice dynamics: How to compute the phonon spectrum of a crystal using a supercell approach. How to calculate vibrational frequency of a diatomic molecule.

Language of instruction

English

Assignment to study programme types

Doctoral

Mode of study

Not applicable.

Entry knowledge

At least a basic knowledge of classical and quantum mechanics and crystal structure.

Rules for evaluation and completion of the course

Students will be graded according to their success in solving practical tasks during the semester. 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 (EN)
S. Elliot: The Physiscs and Chemistry of Solids, Wiley, Chichester, 2000, ISBN: 978-0-471-98195-4 (EN)

Recommended reading

A. P. Sutton: Concepts of Materials Science, Oxford University Press, 2021, ISBN: 978-0-19-284644-0 (EN)