Symmetry and Group Theory (SGT)5 ECTS
(englische Bezeichnung: Symmetry and Group Theory)
(Prüfungsordnungsmodul: Symmetry and Group Theory)

Lehrveranstaltungen:

• • Seminar Symmetry and Group Theory - Applications in Chemistry, Physics and Material Sciences
    (Seminar, 1 SWS, Jörg Libuda et al., Termin nach Vereinbarung)
  • Symmetry and Group Theory - Applications in Chemistry, Physics and Material Sciences
    (Vorlesung, 2 SWS, Jörg Libuda, Di, 16:15 - 17:45)

Inhalt:

• Symmetry of Molecules (symmetry elements, operations, point groups, notations)

• Symmetry of Crystals, Surfaces and Interfaces (symmetry in 1, 2 and 3 dimensional periodic strutures, lattices, crystal classes, space groups)

• Compact Course Group Theory (elements group theory, definitions, reducible and irreducible representations, orthogonality theorem, character tables)

• Group Theory and Quantum Mechanics (representations, operators and symmetry, matrix elements, direct product functions, projection operators)

• Symmetry of Organic Molecules: From Electronic Structure to Reactivity (symmetry adaption, cyclic groups, many electron systems, electronic transitions, configuration interaction, symmetry controlled reactions

• Symmetry in Anorganic Chemistry: From Atoms to Complexes (MO models, transition metal complexes, direct product groups, rotation inversion group, angular momentum coupling, crystal field splitting, vibronically allowed transitions)

• Symmetry and Spectroscopy: Vibrational Spectroscopies (analysis of vibrational modes, normal coordinate analysis, symmetry of vibrational wave functions, vibrational spectroscopy, selection rules)

• Symmetry in Crystal Physics: Tensor Description of Physical Properties (tensors, axial, polar, representations, transformation properties, intrinsic symmetry, Neumann's principle, Curie's principle)

• Symmetry and Electronic Structure of Solids: Band Structures (translation group and irreps, reciprocal lattice, k-space, Bloch functions, Brillouin zones, symmetry of bands)
  

Lernziele und Kompetenzen:

Students

• acquire detailed understanding how to use symmetry properties and the mathematical tools of group theory in a broad range of application fields in chemistry, physics and materials science.

Bemerkung:

Module compability:

• lecture module can be taken as part of the Elective module (5 ECTS, not graded)

Organisatorisches:

• lecture module will be taught online (synchronous)

• lecture module will be offered only in winter term

• Students have to register for the module (check registration periods)

• Registration/further information via StudOn
  

Weitere Informationen:

Studien-/Prüfungsleistungen:

Symmetry and Group Theory (Prüfungsnummer: 65461)

Prüfungsleistung, mündliche Prüfung, Dauer (in Minuten): 20, benotet, 5 ECTS

Anteil an der Berechnung der Modulnote: 100.0 %

weitere Erläuterungen:
O20(PL): Oral Examination (20 minutes) or alternativ examination according to FAU Corona Statutes, Date by agreement

Prüfungssprache: Englisch

Erstablegung: WS 2020/2021, 1. Wdh.: WS 2020/2021

1. Prüfer:

Jörg Libuda

Termin: 26.03.2021, 12:00 Uhr, Ort: P 3.88
Ort: P3.88