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##### Module Notes

Faculty Member (Members):

Undergraduate, 3rd Semester (2nd Year, Fall)

*Module Category:*Compulsory Modules

*Module Type:*Background Courses

*Teaching Language:*Greek

*Course Code:*CHM_421

*Credits:*5

*ECTS Credits:*7

*Teaching Type:*Lectures (4h/W) Τutorial (2h/W)

*Module Availability on Erasmus Students:*No

*Course URL:*E-Class (CMNG2172)

##### Module Details

After completing this module a student should be able to:

Understand the fundamental concepts of quantum mechanics, such as the Schrödinger equation, wave function, quantization, and expectation values

Understand the quantum mechanical description of a particle’s translational, rotational and vibrational motions and discuss the corresponding wavefunctions and energy levels

Grasp the concepts of spin and angular momentum and their quantization, and explain the Zeeman affect and spin-orbit coupling

Understand how quantum mechanics can be used to describe the electronic structure of hydrogenic atoms and many-electron atoms

Understand the origin of atomic and molecular spectra and discuss the selection rules governing such spectra

Predict the thermodynamic properties of a gas in the ideal state from the knowledge of a few literature data for the vibrational frequencies and the geometry of the molecule

Apply principles of Statistical Thermodynamics in order to compute equilibrium constants for chemical reactions

At the end of the course the student will have further developed the following skills/competences:

- Ability to solve the Schrödinger equation to obtain wave functions for some simple, physically important one-dimensional systems, and to apply the technique of separation of variables to solve problems in more than one dimension.
- Ability to apply operators to the wavefunction to obtain information about a particle's physical properties such as position, momentum and energy.
- Ability to determine the electronic structure of an atom according to the modern quantum theory and to relate it to its properties and interactions with light.
- Ability to interpret atomic spectra.
- Ability to interpret rotational and vibrational spectra of simple molecules and obtain information related to their physical properties.

- Introduction to the Quantum Theory. Classical mechanics. The dynamics of microscopic systems. Quantum mechanical principles.

- Techniques and Applications. Translational motion. Vibrational motion. Rotational motion.

- Atomic Structure and Atomic Spectra. The structure and spectra of hydrogenic atoms. The structures of many-electron atoms. The spectra of complex atoms. Term symbols and selection rules. The effects of magnetic fields.

- Molecular Structure and Molecular Spectra. Molecular orbital theory. The hydrogen molecule-ion. The structures of diatomic molecules. The structures of polyatomic molecules. Rotational spectra of diatomic and polyatomic molecules. Vibrational spectra of diatomic molecules. Introduction to electronic transitions and electronic spectra.

- Introduction to statistical thermodynamics. Basic concepts, overall goal. Thermodynamic equilibrium. Equilibrium statistical ensembles.

- Canonical partition function. Boltzmann distribution. Canonical statistical ensemble and applications in thermodynamics. Translational, rotational, vibrational, and electronic contributions to the molecular canonical partition function. Fluctuations. 3rd thermodynamic law and residual entropies

- Calculation of the equilibrium constants for chemical reactions. Application to dissociation reactions.

Lectures (Power Point presentations). Lectures notes and other didactic material are made available to the students in electronic format.

**Teaching Organization**

LECTURES: 4 h/w

RECITATION: 2 h/w

**Total Module Workload (ECTS Standards):**

177 Hours

3 written exams during the semester, final written and/or oral exam

- P.W. Atkins and J. de Paula, “Physical Chemistry”, 9
^{th}Edition, Oxford University Press, 2010 (Greek translation, 2014). - Στέφανος Τραχανάς, “Στοιχειώδης Κβαντική Φυσική”, Πανεπιστημιακές Εκδόσεις Κρήτης, 2012.
- Β. Μαυραντζάς, “Στατιστική Θερμοδυναμική” (Statistical Thermodynamics), Hellenic Open University, Patras (2001).