1. Electrons in solids, chemical bonding, band theory.

2. Metods of ab-initio calculations. LDA, LAPW.

3. Localized electrons, electron structure of atoms and ions.

4. Elektrostatic and quantum theory of crystals, Jahn-Teller effect.

5. Crystal symmetry, space groups.

6. X-ray diffraction, Rielveld refinement.

7. Classification of structures - symmetry, dimensionality, bonding type.

8. Stability criteria of crystal structure, energy of crystalline solids.

9. Close packed atomic and ionic arrangements, concept of ionic radius.

10. Crystal types of ionic compounds.

11. Crystal structure of metals and intermetallics.

12. Defects of crystal structure.

13. Solid solutions, mixed valence compounds.

14. Structural types of silicates, phosphates and other compounds.