- Otrdien, 2017. gada 2. maijā, plkst 13.00
SYMMETRY GROUPS CLASSIFICATION. 3D,2D and 1D PERIODIC GROUPS. SYMMETRY GROUPS AND CRYSTALLINE STRUCTURES.
Point, Space, Layer, Line and Rod groups. Wyckoff positions in symmetry groups. Symmetry and structure of molecules, crystals, slabs, nanotubes and nanowires. Crystalline structures of Fluorite (CeO2, SrF2, BaF2)) Sphalerite (ZnS),Perovskite (SrTiO3, BaZrO3), Corundum (Al2O3), Wurtzite (ZnO, GaN),Rutile (TiO2), WS2, NaLaF4. Slab models of surfaces: rutile (TiO2). TiO2 and WS2-based nanotubes and nanowires.
- Trešdien, 2017. gada 3. maijā, plkst. 13.00
IRREDUCIBLE REPRESENTATIONS OF POINT AND SPACE GROUPS. SYMMETRY OF ELECTRON AND PHONON STATES.
Irreducible representations of point and translation groups. Wave vector stars and Brillouin zone. Irreducible representations of space groups. Electron energy bands and phonon dispersion curves . Band structures of magnesium oxide and cubic perovskite. Phonon dispersion for layered crystal WS2.
- Trešdien, 2017. gada 10. maijā, plkst 13.00
USE OF SITE SYMMETRY IN MOLECULES AND CRYSTALS.
Induced representations of point and space groups. Symmetry of molecular orbitals generated from the chosen atomic basis. Connection of localized displacements of atoms in unit cell and phonon symmetry in crystal. Use of site symmetry to find the symmetry of electron states of the crystal.
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