Infopaket

Physics of Fullerenes, Graphenes and Nanotubes

ОК17

Обов’язкова дисципліна для ОП

Second

2023/2024

4 Semester

3

The learning outcomes are knowledge of the structure of single-layer graphene and its spatial symmetry, features of the spectrum of π-electron zones of graphene, spinor representation of the equation to determine π-electron zones, the physical basis of changing the position of the Fermi level of π-electrons of graphene. As a result, students should be able to conduct a theoretical study of the structure of π-electronic zones of graphene near Dirac points, apply group theory to the analysis of the structure of π-electronic zones and oscillations of the graphene lattice, apply a quantum-field approach to the description of graphene properties, to estimate the number of current carriers and the position of the Fermi level of π-electrons of graphene.

Full-time form

Know the basics of optics, electricity and magnetism, quantum mechanics, atomic physics, quantum physics, solid-state physics, spectroscopy of crystals and periodic nanostructures, group theory methods, methods for solving ordinary differential equations and partial differential equations, Schrödinger's equation, representations of point and spatial symmetry groups, quantum theory of angular momentum. Be able to apply the basic principles of set theory and group theory to solve physical problems, correctly search for approximate solutions to the equations of quantum mechanics and analyze them; compile tables of irreducible and projective representations of symmetry groups and use them to analyze the energy spectra of elementary excitations of crystals and periodic nanostructures. Have the skills to build mathematical models for solving problems, theoretical methods for studying electronic excitations in a solid.

The normative discipline "Physics of fullerenes, graphenes and nanotubes" is a component of the cycle of professional training of specialists of the educational and qualification level "Master of Physics" and is necessary for the study of other physical disciplines. The course is designed to deepen students' knowledge of the basic principles of graphene physics, which are currently relevant both in terms of the practical application of the material and in terms of studying physical processes in space with a reduced dimension.

1. K. S. Novoselov, A. K. Geim, S. V. Morosov, D. Jiang, M. I. Katsnelson, I. V. Grigorieva, S. V. Dubonos, and A. A. Firsov, Nature 438, 197 (2005). 2. Y. Zhang, Y.-W. Tan, H. L. Stormer, and P. Kim, Nature 438, 201 (2005). 3. K. S. Novoselov, A. K. Geim, S. V. Morosov, D. Jiang, Y. Zhang, S. V. Dubonos, I. V. Grigorieva, and A. A. Firsov, Science 306, 666 (2004). A. Kekul´ e, Bulletin de la Societe Chimique de Paris 3 (2), 98 (1865); Annalen der Chemie und Pharmazie 137 (2), 129 (1866). 4. L. Pauling, The Nature of Chemical Bonds, Cornell UP (1960). 5. H. W. Kroto, J. R. Heath, S. C. O’Brien, R. F. Curl, and R. E. Smalley, Nature 318, 162 (1985). 6. Original paper in Japanese, translated in: E. Ozawa, H. W. Kroto, P. W. Fowler, E. Wassermann, Phil. Trans. R. Soc. (London) A 343, 1 (1993). 7. S. Iijima, Nature 354, 56 (1991). 8. M. Monthioux and V. L. Kuznetsov, Carbon 44, 1621 (2006). 9. L. V. Radushkevich and V. M. Lukyanovich, Zurn. Fisic. Chim. 26, 88 (1952).

Lectures - 15 hours, practical classes - 15 hours, independent work - 44 hours, consultations.

The control is carried out according to the module-rating system, which consists of 2 content modules. The knowledge assessment system includes current, modular and semester control of knowledge. Forms of current control: assessment of homework, written independent assignments, tests and tests performed by students. The student can receive a maximum of 20 points for homework, independent assignments, writing essays, oral answers, tests, additions to lectures. Modular control: 2 modular control works. The student can receive a maximum of 20 points for modular tests (10 points for each test). The final semester control is conducted in the form of an exam (60 points). The exam ticket includes 2 theoretical questions (20 points each) and a task (20 points).

Ukrainian