Group Theory Applied to Chemistry

by Arnout Jozef Ceulemans

Overview

The second edition of this textbook provides a more elaborate explanation of several important group-theoretical concepts in quantum chemistry, such as: the bra-ket conjugation relation, the connection between point groups and isometries, the practical use of subduction tables, the eigenvalues of Cayley graphs, and the symmetry of Slater determinants. A new chapter introduces the application of line and plane groups to the properties of nanostructured low-dimensional molecular systems. In addition, several extra study problems are inserted to illustrate group theory at work in molecular science. The book is of great interest to advanced undergraduate and graduate students, enabling them to put the tools of group theory into practice when studying chemical problems of their own research. More experienced researchers will find in this book useful leads to the mathematical aspects of their subject.

Product Details

ISBN-13:	9789402422450
Publisher:	Springer-Verlag New York, LLC
Publication date:	04/04/2024
Series:	Theoretical Chemistry and Computational Modelling
Sold by:	Barnes & Noble
Format:	eBook
File size:	38 MB
Note:	This product may take a few minutes to download.

About the Author

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).

Table of Contents

Operations.- Function Spaces and Matrices.- Groups.- Representations.- What has Quantum Chemistry Got to Do with It?.- Interactions.- Spherical Symmetry and Spins.-  Line Groups and Plane Groups.

Editorial Reviews

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)

From the Publisher