Atoms, molecules, clusters 1100-4AMC

Program:
1. Elements of group theory and its connection with quantum mechanics.
2. Hydrogen atom:
a) Schrödinger equation
b) fine structure, Lamb shift.
3. Alkali atoms.
4. Helium atom.
5. Multielectron atoms:
a) independent electron approximation in a central potential
b) atomic terms in L-S and j-j coupling
c) electron configuration and determination of the term manifold
d) Hund rules
e) the periodic table.
6. Rydberg atoms.
7. The Zeeman effect.
8. The Stark effect.
9. Separation of electron and nuclear motion in a molecule, adiabatic and Born-Oppenheimer approximations, potential energy surfaces.
10. Electronic structure of molecules:
a) diatomic molecules, molecular orbitals, orbital energies, electronic states and their energies
b) linear molecules
c) polyatomic molecules: H2O, hydrocarbons, benzene, polyenes
d) clusters.
11. Nuclear motion in molecules - vibrations and rotation:
a) diatomic molecules - vibration of nuclei, rotation of molecules, structure of energy levels of diatomic molecules
b) polyatomic molecules - rotational energy levels, classical treatment of vibrations, normal coordinates, quantum approach, potential surfaces with multiple minima, Coriolis interaction.
12. Molecular spectra:
a) rotational spectra;
b) vibrational spectra (change of vibrational level, rotational structure of vibrational transitions);
c) electronic transitions;
d) relaxation pathways for molecules.
e) Raman spectra.