Crystal structure
Part 1. Geometric crystallography
Part 2. Symmetries in crystals
Part 3. X-ray crystallography
Part 1. Description of crystalline solids:
– The perfect crystal: definition and description of typical ionic and covalent structures.
– Point lattice : unit cell, Miller indices, lattice planes, interplannar spacing ;
– Crystallographic asymmetric unit;
– Reciprocal lattice: definition and properties
Part 2. Crystal symmetry
– Definitions of symmetry elements, notions of group theory, crystal systems;
– Stereographic projection and point group representations;
– Description of translational symmetry elements, space groups and representations.
Part 3. X-ray crystallography
– X-ray scattering and absorption by atoms ;
– X-ray diffraction: diffraction conditions (Laue conditions, Bragg relation, Ewald sphere), calculation of diffracted intensities (structure factor);
– Main structural characterization methods for crystals, powders and thin films
– Implementation and analysis of powder diffractograms and thin film diffractograms
