Atomic structure and electronic properties of low-dimensional systems Assoc. Prof. Oleg E. Tereshchenko This lecture course gives an overview of the solid state physics basic questions of low dimensionality and the research in the field of nanoscience and technology. It starts with review of the classical laws related to energy transport processes, and introduces microscopic pictures of energy carriers. The evolution of electronic structure and properties from an atom to a molecule and to a crystal is consistentlyconsidered. Some aspects of chemical bonds formation and its relation to the electronicproperties and thefeatures of the synthesizednanosystems will be given. In particular, the atomic and electronic structure of graphene and graphene-like systems, ultrathin metallic layers and topological insulators are discussed that deal with certain important and current developments in nanoscience, from both a scientific as well as technological point of view in which the main focus is on spin-dependent aspects. The recent advances in modern methods like spin-resolved scanning tunneling spectroscopy (SR STM), photoemission spectroscopy with angular and spin resolution (SR ARPES) and various optical methods will be considered. The lectures are open to everyone interested in the field and for the students in Master programs.