### Physics of Materials

#### Course Description

#### General Competencies

Education is focused on the deep understanding of Quantum Physics concepts and methods, and modern nanotechnology knowledge and techniques. Students will be educated in basic knowledge of describing and understanding of modern materials in Electrical Engineering, Information Technology and Computer Science. An emphasis will be also given on the practical skills to analyze as well as to simulate by the advanced programming tools the problems in the related topics (miniaturization, quantum computers, parallelization, and innovative materials).

#### Learning Outcomes

- Describe simple quantum systems.
- Apply quantum mechanics to elementary processes.
- Derive solutions for the hydrogen atom.
- Apply classical and quantum distributions.
- Relate classical and quantum description on the thermal properties.
- Analyze potentials and conductivities in crystall lattice.
- Explain fermion pairing in BCS theory.
- Analyze electric ana magnetic properties in technology.

#### Forms of Teaching

**Lectures**Lectures with AV support. Scientific movies on related contemporary research. Simple experiments and demonstrations.

**Exercises**Examples and problem solutions.

**Consultations**Regular - weekly consultations.

**Seminars**Individual presentations of special topics.

**Acquisition of Skills**Work on computer and knowledge in simulations, data handling, and searching on articles and solutions in quantum physics.

#### Grading Method

Continuous Assessment | Exam | |||||
---|---|---|---|---|---|---|

Type | Threshold | Percent of Grade | Threshold | Percent of Grade | ||

Homeworks | 0 % | 10 % | 0 % | 10 % | ||

Class participation | 0 % | 10 % | 0 % | 10 % | ||

Mid Term Exam: Written | 0 % | 40 % | 0 % | |||

Final Exam: Written | 0 % | 40 % | ||||

Exam: Written | 0 % | 40 % | ||||

Exam: Oral | 40 % |

#### Week by Week Schedule

- Basics of quantum physics. Relativistic equations of matter waves. Schroedinger equation.
- Heisenberg's uncertainty principle. Transmission and reflection on potential step.
- Tunnel effect. WBK approximation.
- Electron states in a potential well. Field emission. Contact potential.
- Hydrogen atom.
- Pauli's exclusion principle. Quantum mechanical harmonic oscillator.
- Statistical distributions: Fermi-Dirac, Bose-Einstein.
- EXAM
- Thermal properties of materials. Einstein and Debye model.
- Kronig-Penney model of potential lattice. Brillouin zones. Effective electron and hole mass.
- Conductivity. Semiconductor conductivity. Semiconductor applications.
- Superconductivity. BCS theory. Josephson effect and applications. LTS technology. HTS materials.
- Electrical properties of materials. Polarization. Dielectric permittivity. Optical fibers.
- Diamagnetism. Paramagnetism. Ferromagnetism. NMR and applications in physics of materials.
- EXAM

#### Study Programmes

##### University graduate

#### Literature

*Riješeni primjeri i zadaci iz fizike materijala, recenzirani udžbenik*, Hinus, Zagreb

*Uvod u električna i magnetska svojstva materijala*, Školska knjiga, 2. izd., Zagreb

*The Solid State. An introduction to the physics of solids for students of physics, material science, and engineering, 3rd ed.*, Oxford University Press, Oxford

*Nanophysics and Nanotechnology: An Introduction to Modern Concepts in Nanoscience*, Wiley–VCH Verlag GmbH&Co. KGaA, Weinheim, 2nd ed.

*SUPERCONDUCTIVITY: A Very Short Introduction*, Oxford University Press, Oxford

*Uvod u fiziku čvrstog stanja V. Šips Školska knjiga, Zagreb 1991*,

*Modern Physics J. W. Rohlf J. Wiley & Sons, New York 1994*,

*Quantum Mechanics for Applied Phyisc and Engineering A. T. Fromhold, Jr. Academic Press, New York 1981*,

#### Lecturers

#### General

**ID**34565

**4**ECTS

**L3**English Level

**L1**e-Learning

**45**Lectures

**0**Exercises

**0**Laboratory exercises

**0**Project laboratory

#### Grading System

**85**Excellent

**75**Very Good

**60**Good

**50**Acceptable