Group Theory Applied to Chemistry
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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.
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: sn.pub/extras
Autor*in
Arnout Jozef Ceulemans
Themen in »Group Theory Applied to Chemistry«
Canonical Symmetry Euclid Cubes Functional Transforms Group Theory Molecular Orbital Orthogonal Matrices Rotation Matrices Symmetry The Faraday Effect Walsh Diagram
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From the book reviews:
“The material in the book is organized into seven chapters. … In the end of the book, the reader will find solutions to problems, references and an index. … it provides a valuable source of information for motivated graduate students and researchers interested in applications of group theory in chemistry.” (Yuriy V. Rogovchenko, zbMATH, Vol. 1304, 2015)()