Where is the symmetry in group theory


Symmetry and Group Theory (CH3337)

Eligibility criteria

See TUMonline
Note: Registration for the lecture via TUMonline is mandatory. The first lecture with a preliminary discussion will take place on Tuesday, November 3rd, 2020 at 11:15 a.m. online and synchronously.

learning goals

After the course, the students know the mathematical fundamentals and tools of group theory necessary for symmetry considerations. You can use these independently to simplify and solve problems from various areas of chemistry and quantum mechanics after having worked through the exercises. The most important application examples of symmetry and group theory in chemistry will be known to the participants after attending the lecture.


1. Basics of group theory 2. Molecular symmetry and symmetry groups 3. Representation of groups 4. Symmetry and quantum mechanics 5. MO theory and symmetry in inorganic and organic chemistry 6. Ligand field theory and spectroscopy 7. Molecular vibrations 8. Solid state and crystal symmetry

Content requirements

The content of the lectures on mathematics, quantum mechanics and theoretical chemistry from the Bachelor's degree in chemistry at TUM should be mastered. This includes, in particular, linear algebra, simple concepts of molecular structure and symmetry, the basics of spectroscopy, the basics of quantum mechanics and its computational methods, and the theory of chemical bonds.

Teaching and learning methods

Lecture with exercises and homework In the exercise groups, the material dealt with in the lecture is practically worked out with the tutors using simple tasks. The practiced techniques are then deepened and consolidated in homework. The tasks and additional material are made available via the TUM eLearning platform. Lecture dates: Tue 11 a.m. - 1 p.m., online (see Moodle) Exercises: Wed 2 p.m. - 3 p.m., online (see Moodle)

Recommended literature

FA. Cotton, Chemical Applications of Group Theory