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Symmetry and Group Theory (SGT)5 ECTS (englische Bezeichnung: Symmetry and Group Theory)
Modulverantwortliche/r: Jörg Libuda Lehrende:
Jörg Libuda, u. Mitarbeiter
Startsemester: |
WS 2021/2022 | Dauer: |
1 Semester | Turnus: |
jährlich (WS) |
Präsenzzeit: |
45 Std. | Eigenstudium: |
105 Std. | Sprache: |
Englisch |
Lehrveranstaltungen:
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Seminar Symmetry and Group Theory - Applications in Chemistry, Physics and Material Sciences
(Seminar, 1 SWS, Jörg Libuda et al., Termin nach Vereinbarung, Präsenzveranstaltung und Online-Streaming)
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Symmetry and Group Theory - Applications in Chemistry, Physics and Material Sciences
(Vorlesung mit Übung, 3 SWS, Jörg Libuda, Di, 16:15 - 18:30, H2 Egerlandstr.3; Präsenzveranstaltung und Online-Streaming)
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
Bemerkung:
Module compability:
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:
www: https://www.studon.fau.de/crs3274545.html
Verwendbarkeit des Moduls / Einpassung in den Musterstudienplan: Das Modul ist im Kontext der folgenden Studienfächer/Vertiefungsrichtungen verwendbar:
- Chemistry (Master of Science): ab 1. Semester
(Po-Vers. 2020w | NatFak | Chemistry (Master of Science) | Wahlmodule | Symmetry and Group Theory)
- Molecular Science (Master of Science): ab 1. Semester
(Po-Vers. 2020w | NatFak | Molecular Science (Master of Science) | Elective modules | Symmetry and Group Theory)
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 2021/2022, 1. Wdh.: WS 2021/2022
- Ort: P3.88
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