C6740 Electrical Properties of Dielectrics

Faculty of Science
Spring 2024
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
prof. RNDr. Libuše Trnková, CSc. (lecturer)
Guaranteed by
prof. RNDr. Libuše Trnková, CSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Supplier department: Department of Chemistry – Chemistry Section – Faculty of Science
Timetable
Mon 19. 2. to Sun 26. 5. Thu 16:00–17:50 C12/311
Prerequisites
knowledge of general and physical chemistry, fundamental knowledge of physics and mathematics
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The lecture block provides physical chemistry students with an interesting insight into the properties of dielectrics and their behavior in static and variable electric fields. It deals with the basic principles of phenomena that arise in the dielectric in interaction with the external environment in the form of an electric field and an electromagnetic wave. Students will get an insight into the mathematical functions of vector and scalar environments and their applications in classical and empirical models of dielectrics.
Learning outcomes
After graduating this course, the student will be able to: 1) analyze the behavior of dielectrics in a static and variable electric field and understand the basic principles of phenomena that arise in the dielectric in interaction with the external environment not only in the form of an electric field but also in the form of an electromagnetic wave; 2) use the mathematical functions of the vector and scalar environment in applications of classical and empirical models of dielectrics; 3) characterize dielectric polarization, induction and dielectric relaxation; 4) identify and evaluate optoelectric phenomena; 5) analyze metamaterials with their specific electromagnetic properties.
Syllabus
  • 1. Dielectrics. Charge and charge density. Electric dipole as a vector. Electrostatics and electrostatic theorems I. Electric field intensity and potential, permittivity, relative permittivity and its determination, capacitor capacity. 2.Gradient, divergence, rotation. Electrostatics and electrostatic theorems II (Gauss-Ostrogradsky and Stokes theorem), application of the G-O theorem: vector flow through a surface, electric field energy density. 3. Non-polar and polar dielectrics. Polarizability and types of polarizability. Dielectric in a static electric field, free and bound charges. Polarization, induction. Electrical susceptibility. Clausius-Mosotti equation and its validity. 4. Theory of dielectric polarization. Polar dielectric, Debye model and determination of permanent dipole moment. Hedestrand's method. Models of polar dielectrics – Onsager, Kirkwood, Fröhlich. 5. Kinetic theory of dielectric relaxation. Dielectric in a variable electric field. Complex permittivity. Dielectric loss. Debye curves. Cole-Cole diagram (Cole-Davidson, Havriliak-Negami). Dielectric spectroscopy. 6. Velocity theory of dielectric polarization. Light dispersion. Molar refraction and relation to electron polarization. Ion polarization. Dielectric relaxation in crystals. Ferroelectrics, Curie temperature. Piezoelectric, pyroelectric effect. 7. Optoelectric phenomena. Kerr's experiment. Application. 8. Spectra and induced and permanent dipole moment. Transit dipole moment. Determination of dipole moments using spectra. 9. Metamaterials and their electromagnetic properties. Negative permittivity, negative permeability and negative refractive index. Veselag's lens. Invisibility Cloak of Harry Potter or Rumburak.
Literature
    recommended literature
  • ATKINS, P. W. Physical chemistry. 6th ed. Oxford: Oxford University Press, 1998, xvi, 1014. ISBN 0198501013. info
  • ATKINS, Peter William. The elements of physical chemistry [Atkins, 1992]. Oxford: Oxford University Press, 1992, 11, 496 s. ISBN 0-19-855723-X. info
  • KAO, Kwan Chi. Dielectric phenomena in solids : with emphasis on physical concepts of electronic processes. Amsterdam: Elsevier Academic Press, 2004, xvii, 581. ISBN 0123965616. info
  • Impedance spectroscopyapplications to electrochemical and dielectric phenomena. Edited by Vadim F. Lvovich. Hoboken, N.J.: Wiley, 2012, xiii, 353. ISBN 9781118164105. info
Teaching methods
Lecture with exercises.
Assessment methods
oral examination
Language of instruction
Czech
Follow-Up Courses
Further Comments
Study Materials
The course is taught annually.
The course is also listed under the following terms Spring 2008 - for the purpose of the accreditation, Spring 2011 - only for the accreditation, Spring 2000, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2014, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019, Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2025.
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