UCL - Studies

Version française

Study programmes
First cycle
Second cycle
Third cycle
Faculties and entities
Access to studies
Academic calendar
Per course

Introduction to materials physics [MAPR2110]
[45h+30h exercises] 6 credits

Version française

Printable version

This course is taught in the 1st semester


Patrick Bertrand, Jean-Christophe Charlier (coord.), Arnaud Delcorte, Xavier Gonze, Luc Piraux, Gian-Marco Rignanese




Second cycle

>> Aims
>> Main themes
>> Content and teaching methods
>> Other information (prerequisite, evaluation (assessment methods), course materials recommended readings, ...)
>> Other credits in programs


- Complements of quantum mechanics, in view of the understanding of material cohesion and their response to perturbations
- Elements of statistical physics, leading to the energy distribution of electrons and lattice vibrations in materials
- Phenomenological approach of material properties, based on thermodynamical constraints, and linked to the materials symmetry.

Main themes

This lecture presents the basics of materials physics (complements of quantum mechanics ; statistical physics ; symmetries and thermodynamics)

Content and teaching methods

Lectures " ex cathedra " : presentation of the concepts
Exercices, in view of a better understanding of the subject.

I. Complements of quantum mechanics
1. Reviews : postulates, measure theory, hydrogen atom, spin, periodic table
2. Matrix mechanics
3. Study of the harmonic oscillator (Dirac technique)
4. Variational principle
5. Tight-binding approximation
6. Elements of molecular physics (bonding and electronic structure)
7. Perturbation theory
II. Statistical physics
1. Introduction
2. Elements of statistical physics (microcanonical ensemble)
3. Gibbs distribution (canonical ensemble)
4. Grand canonical ensemble
5. Quantum fluids
6. Statistical formulation of thermodynamical functions
III. Symmetry and thermodynamics
1. Symmetry and tensors
2. Polar dielectrics
3. Piezoelectricity
4. Generalized crystalline thermodynamics
5. Transport and magnetic field

Other information (prerequisite, evaluation (assessment methods), course materials recommended readings, ...)


Other credits in programs


Deuxième année du programme conduisant au grade d'ingénieur civil en mathématiques appliquées

(6 credits)


Première année du programme conduisant au grade d'ingénieur civil en science des matériaux

(6 credits)


This site was created in collaboration with ADCP, ADEF, CIO et SGSI
Person in charge : Jean-Louis Marchand - Information : secretaire@fsa.ucl.ac.be
Last update :02/08/2006