Infopaket

Spectroscopy of crystals and nanosystems

ВК13

Вибіркова дисципліна для ОП

First

2023/2024

8 Semester

4

Acquaintance with the energy spectrum of elementary excitations of crystals and nanosystems and methods of its research. Understanding of theoretical bases of methods of calculation of energy parameters and characteristics of crystals and nanosystems, ability to apply these methods in scientific work. Also the ability to learn and master modern knowledge of the spectroscopy of crystals and nanosystems, the ability to search, process, and analyze information from various sources, including electronic resources, and the ability of students to abstract thinking, analysis, and synthesis of material from all physical disciplines.

Full-time form

The student must know the basic principles of group theory, the relationship of the apparatus of group theory with the concepts of quantum mechanics, symmetric selection rules, symmetric classification of crystal vibrations, normal coordinates, normal modes, electronic states, types of bonds in crystals, application of group theory for calculations of energy levels of crystals, Hartree-Fock method for calculation of electronic states. The student must be able to: formulate the basic laws of electrodynamics, optics, and quantum mechanics, which determine the properties of crystals in the study by means of optical spectroscopy. Apply group theory methods for the symmetric analysis of vibrational states of crystals and electronic states of crystals. Have basic skills in calculating derivatives, integrals, operations on functions and operators, operations with vectors, graphically plotting functions, defining and decomposing functions into series, and Fourier integrals.

The complexity of the objects of study, consisting of a huge number of particles, necessitated the introduction of new concepts, such as quasiparticles, inverse space, and nanoparticles. The course material is divided into sections. Consideration begins with molecular crystals, for which interactions in the crystal are taken into account in the simplest way - the method of perturbation theory. Next, ionic crystals are considered, the basic properties and vibrational excitations of which can be described in the framework of classical physics. In the following sections, much attention is paid to typical semiconductors, their energy structure, the spectrum of elementary excitations, and the physical processes of absorption and emission of light quanta. The final sections of the course give examples of the application of the studied concepts and physical models to very modern problems of solid-state spectroscopy and nanosystems.

1. I.M. Dmytruk, O.A. Yeshchenko. Spectroscopy of Crystals, VCP "Kyiv University", Kyiv, 2006. 2. I.M. Dmytruk, "Electronic processes in nanostructures", Kyiv - 2013. 3. J. Raceland. Physics of Phonons, “Mir”, M., 1975. 4. R. Knox, A. Gold. Symmetry in solid state. M., 1970. 5. T.P. Martin. “Shells of atoms”, Physics Reports, 273, 1996, 199-241. 6. A..I Ekimov, A.L. Efros, A.A. Onushchenko, “Quantum size effect in semiconductor microcrystals”, Solid State Communications, 56 (1985), 921-924.

Lectures, consultations, independent work

Evaluation is carried out according to the modular rating system. It consists of 2 modules. Forms of current control: assessment of tasks for independent work and colloquia. The results of students' learning activities are evaluated on a 100-point scale. The student can get a maximum of 30 points for each module and 40 points for the exam.

Ukrainian