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Beschreibung
Chemists are used to the operational definition of symmetry, which crystallographers introduced long before the advent of quantum mechanics. The ball-and-stick models of molecules naturally exhibit the symmetrical properties of macroscopic objects. However, the practitioner of quantum chemistry and molecular modeling is not concerned with balls and sticks, but with subatomic particles: nuclei and electrons.
This textbook introduces the subtle metaphors which relate our macroscopic understanding of symmetry to the molecular world. It gradually explains how bodily rotations and reflections, which leave all inter-particle distances unaltered, affect the study of molecular phenomena that depend only on these internal distances. It helps readers to acquire the skills to make use of the mathematical tools of group theory for whatever chemical problems they are confronted with in the course of their own research.
Chemists are used to the operational definition of symmetry, which crystallographers introduced long before the advent of quantum mechanics. The ball-and-stick models of molecules naturally exhibit the symmetrical properties of macroscopic objects. However, the practitioner of quantum chemistry and molecular modeling is not concerned with balls and sticks, but with subatomic particles: nuclei and electrons.
This textbook introduces the subtle metaphors which relate our macroscopic understanding of symmetry to the molecular world. It gradually explains how bodily rotations and reflections, which leave all inter-particle distances unaltered, affect the study of molecular phenomena that depend only on these internal distances. It helps readers to acquire the skills to make use of the mathematical tools of group theory for whatever chemical problems they are confronted with in the course of their own research.
Über den Autor
Arnout Ceulemans is emeritus professor of theoretical chemistry at KULeuven. His research is devoted to the development and application of group theory and topology to chemistry. He has published three books on this topic. In 2013 appeared the first edition of a textbook on group theory applied to chemistry (Springer, 2013). Together with Dr. Pieter Thyssen he authored a book on continuous symmetry groups, entitled 'Shattered Symmetry, group theory from the eightfold way to the periodic table' (2017). His latest contribution is a monograph on the 'Theory of the Jahn-Teller effect, when a boson meets a fermion' (Springer 2022).
Zusammenfassung

Takes a mathematical approach to understanding group theory

Includes exercises

Goes back to basics

Takes a didactic approach

Written for advanced undergraduates and Masters students

Includes supplementary material: [...]

Inhaltsverzeichnis
Operations.- Function spaces and matrices.- Groups.- Representations.- What has quantum chemistry got to do with it?.- Interactions.- Spherical symmetry and spins.
Details
Erscheinungsjahr: 2016
Fachbereich: Theoretische Chemie
Genre: Chemie, Importe
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Theoretical Chemistry and Computational Modelling
Inhalt: xiii
269 S.
52 s/w Illustr.
11 farbige Illustr.
269 p. 63 illus.
11 illus. in color.
ISBN-13: 9789402406139
ISBN-10: 9402406131
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Ceulemans, Arnout Jozef
Hersteller: Springer
Springer Netherland
Theoretical Chemistry and Computational Modelling
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 16 mm
Von/Mit: Arnout Jozef Ceulemans
Erscheinungsdatum: 23.08.2016
Gewicht: 0,435 kg
Artikel-ID: 103526042