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Fundamentals of the theory of the electron gas in solids

ВКБ.6.02

Вибіркова дисципліна для ОП

First

2022/2023

5 Semester

3

R.01. Understand key chemical concepts, basic facts, concepts, principles and theories related to the natural, life and earth sciences, as well as chemical technologies at a level sufficient for their professional application and to enable further in-depth understanding of specialized areas of chemistry . P02. Understand the basics of mathematics at a level sufficient to achieve the other learning outcomes provided for in this standard and the curriculum. R.05. Understand the relationship between the structure and properties of substances. P07. Apply the basic principles of quantum mechanics to describe the structure of atoms, molecules, and chemical bonds. P15. Ability to use acquired knowledge and skills for calculations, display and modeling of chemical systems and processes, processing of experimental data. P16. Perform computer calculations using standard and custom software, skills in analysis and display of results.

Students should know the basics of physics and chemistry, and also have the necessary mathematical apparatus, including integration and differentiation.

The educational discipline considers the theoretical basis, which is necessary for understanding the physical content and nature of various phenomena and processes. Concepts of the electronic gas model are used in other special courses taught at the department after this course. Students get acquainted with the description based on statistical thermodynamics and quantum mechanics of the electron gas model. Statistical distributions are considered in detail. Then a quantum-mechanical description, which leads to the concept of zone theory. And also related issues such as inverse space, primitive cells, etc. At the end of the course, the Fermi-Dirac theory is considered, which is the basis for the density functional theory (DFT) method.

1. Kittel C. Introduction to solid state physics. 8th ed. - NewYork: J. Wiley&Sons, 2005. - 680 p. 2. Tien C.L., Lienhard J.H. Statistical thermodynamics. Hemisphere Publishing Company, 1979. –397 p. 3. Zabuga V.Ya. Statistical thermodynamics of ideal gases. - Kyiv: VOC "Kyiv University", 1999. - 51 p. 4. Yatsimirskyi V.K., Yatsimirskyi A.V. Quantum chemistry. - Kyiv: VOC "Kyiv University", 2009. - 479 p. 5. Yatsymirsky V.K. Physical chemistry. - Kyiv, Irpin: Perun, 2010. - 511 p. 6. Slater J.C. Quantum Theory of Molecules and Solids. Volume 1, Electronic Structure of Molecules. - New York: McGraw-Hill Book Co., 1963. - 485 p.

Lectures, Laboratory classes

Semester control includes homework, tests and of laboratory works. The evaluation is based on a 100-point scale. The maximum / minimum number of points that can be obtained by a student during the semester assessment is 60 points / 36 points. The final assessment is conducted in the form of an exam. The maximum / minimum number of points that can be obtained by a student in the exam is 40 points / 24 points.

Ukrainian