**1. Basic principles of quantum mechanics:** Postulates; operator algebra; exactly- solvable systems: particle-in-a-box, harmonic oscillator and the hydrogen atom, including shapes of atomic orbitals; orbital and spin angular momenta; tunneling.

**2. Approximate methods of quantum mechanics:** Variational principle; perturbation theory up to second order in energy; applications.

**3. Atomic structure and spectroscopy;** term symbols; many-electron systems and antisymmetry principle.

**4. Chemical bonding **in diatomics; elementary concepts of MO and VB theories; Huckel theory for conjugated π-electron systems.

**5. Chemical applications of group theory**; symmetry elements; point groups; character tables; selection rules.

**6. Molecular spectroscopy:** Rotational and vibrational spectra of diatomic molecules; electronic spectra; IR and Raman activities – selection rules; basic principles of magnetic resonance.

**7. Chemical thermodynamics:** Laws, state and path functions and their applications; thermodynamic description of various types of processes; Maxwell’s relations; spontaneity and equilibria; temperature and pressure dependence of thermodynamic quantities; Le Chatelier principle; elementary description of phase transitions; phase equilibria and phase rule; thermodynamics of ideal and non-ideal gases, and solutions.

**8. Statistical thermodynamics:** Boltzmann distribution; kinetic theory of gases; partition functions and their relation to thermodynamic quantities – calculations for model systems.

**9. Electrochemistry:** Nernst equation, redox systems, electrochemical cells; DebyeHuckel theory; electrolytic conductance – Kohlrausch’s law and its applications; ionic equilibria; conductometric and potentiometric titrations.

**10. Chemical kinetics:** Empirical rate laws and temperature dependence; complex reactions; steady state approximation; determination of reaction mechanisms; collision and transition state theories of rate constants; unimolecular reactions; enzyme kinetics; salt effects; homogeneous catalysis; photochemical reactions.

**11. Colloids and surfaces:** Stability and properties of colloids; isotherms and surface area; heterogeneous catalysis.

**12. Solid state:** Crystal structures; Bragg’s law and applications; band structure of solids.

**13. Polymer chemsitry:** Molar masses; kinetics of polymerization.

**14. Data analysis:** Mean and standard deviation; absolute and relative errors; linear regression; covariance and correlation coefficient.

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