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.
Main fields of studies for MISMaP
Mode
Prerequisites (description)
Course coordinators
Learning outcomes
The student will be able to explain and describe structure of atoms and molecules and their interaction with radiation in the language of quantum mechanics.
Assessment criteria
Expected work load:
Class attendance: 30 h – 1 ECTS
Preparation for the final exam: 60h – 2 ECTS
Final mark based on an oral or written test examination
Practical placement
none
Bibliography
1. P.W. Atkins, Molecular quantum mechanics.
2. F.A. Cotton, Chemical applications of group theory.
3. A.S. Dawydow, Quantum mechanics (and other textbooks on QM).
4. H. Haken, H.Ch. Wolf, The Physics of Atoms and Quanta.
5. H. Haken, H.Ch. Wolf, Molecular Physics and Elements of Quantum Chemistry.
6. M. Hamermesh, Group theory and its application to physical problems.
7. G.K. Woodgate, Elementary atomic structure.
8. W. Demtröder, Atoms, Molecules and Photons.
(in Polish):
9. W. Kołos, Chemia kwantowa.
10. P. Kowalczyk, Fizyka cząsteczek.
Additional information
Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system: