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Symmetry and physical properties - 4PMNSPP7

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  • Number of hours

    • Lectures : 8.0
    • Tutorials : 8.0
    • Laboratory works : 0
    • Projects : 0
    • Internship : 0
    • Written tests : 0
    ECTS : 1.5

Goals

Symmetries
Solution of physical problems from symmetry laws
Physical properties of a Crystal allowed by its symmetries.

Contact Richard BRESSOUX

Content

  • CHAPTER I: Crystal symmetry *
    Orientation symmetry, Euler theorem
    32 punctual groups. Holoedric and Meriedric classes
    14 Bravais lattices: mathematical and geometrical construction
    Particular case of trigonal and hexagonal lattices.
  • CHAPTER II Symmetry and Crystal properties *
    Crystal anisotropy
    Tensorial representation of physical properties: effect of symetries on tensors
    Application to optics, pyro- and piezo-electricity, elasticity
  • CHAPTER III Physical symmetry *
    Space orientation
    Polar and axial variables
    Anti-symmetry
    Magnetic properties
    Generalised symmetry principle
    Symmetry breakage
    Order-Disorder transitionTransition ordre-désordre
    Landau theory, order parameter
  • CHAPITRE IV Determination of Crystal structures *
    Position Symmetry
    Symmetries with translation : mathematical determination
    Space groups. Searching space groups from X-ray diffractograms. Use of "International Tables For X-ray Crystallography".


Prerequisites

basic lecture on crystallography and X-ray diffraction

Tests

Foue exercices solved in group.



Contrôle Continu : 100%

Additional Information

Curriculum->Engineering degree->Semester 8

Bibliography

Symétrie et propriétés physiques des cristaux, Cécile Malgrange, Christian Ricolleau, Françoise Lefaucheux , Les Ulis : EDP sciences ; Paris : CNRS éd., cop. 2011

Description de la symétrie : des groupes de symétrie aux structures fractales / Jean Sivardière. Les Ulis : EDP Sciences, DL 2004

Symétrie et propriétés physiques : du principe de Curie aux brisures de symétrie /
Jean Sivardière. Les Ulis : EDP Sciences, DL 2004

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Date of update December 14, 2016

Université Grenoble Alpes