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Group Theory Applied to Chemistry

by Ceulemans, Arnout Jozef.
Authors: SpringerLink (Online service) Series: Theoretical Chemistry and Computational Modelling, 2214-4714 Physical details: XIII, 269 p. 63 illus., 11 illus. in color. online resource. ISBN: 940076863X Subject(s): Chemistry. | Chemistry, inorganic. | Crystallography. | Chemistry. | Theoretical and Computational Chemistry. | Crystallography. | Inorganic Chemistry.
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E-Book E-Book AUM Main Library 541.2 (Browse Shelf) Not for loan

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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