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Group Theory Applied to Chemistry [electronic resource] / by Arnout Jozef Ceulemans.

By: Ceulemans, Arnout Jozef [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Theoretical Chemistry and Computational Modelling: Publisher: Dordrecht : Springer Netherlands : Imprint: Springer, 2013Description: XIII, 269 p. 63 illus., 11 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9789400768635.Subject(s): Chemistry | Chemistry, inorganic | Crystallography | Chemistry | Theoretical and Computational Chemistry | Crystallography | Inorganic ChemistryDDC classification: 541.2 Online resources: Click here to access online
Contents:
Operations -- Function spaces and matrices -- Groups -- Representations -- What has quantum chemistry got to do with it? -- Interactions -- Spherical symmetry and spins.
In: Springer eBooksSummary: 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.
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Operations -- Function spaces and matrices -- Groups -- Representations -- What has quantum chemistry got to do with it? -- Interactions -- Spherical symmetry and spins.

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.

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