Author : F. Albert Cotton
Publisher : John Wiley & Sons
Page : 498 pages
File Size : 34,34 MB
Release : 1991-01-16
Category : Science
ISBN : 0471510947
Retains the easy-to-read format and informal flavor of the previous editions, and includes new material on the symmetric properties of extended arrays (crystals), projection operators, LCAO molecular orbitals, and electron counting rules. Also contains many new exercises and illustrations.
Author : Rakshit Ameta
Publisher : CRC Press
Page : 392 pages
File Size : 29,37 MB
Release : 2016-11-03
Category : Science
ISBN : 1771883995
As the structure and behavior of molecules and crystals depend on their different symmetries, group theory becomes an essential tool in many important areas of chemistry. It is a quite powerful theoretical tool to predict many basic as well as some characteristic properties of molecules. Whereas quantum mechanics provide solutions of some chemical problems on the basis of complicated mathematics, group theory puts forward these solutions in a very simplified and fascinating manner. Group theory has been successfully applied to many chemical problems. Students and teachers of chemical sciences have an invisible fear from this subject due to the difficulty with the mathematical jugglery. An active sixth dimension is required to understand the concept as well as to apply it to solve the problems of chemistry. This book avoids mathematical complications and presents group theory so that it is accessible to students as well as faculty and researchers. Chemical Applications of Symmetry and Group Theory discusses different applications to chemical problems with suitable examples. The book develops the concept of symmetry and group theory, representation of group, its applications to I.R. and Raman spectroscopy, U.V spectroscopy, bonding theories like molecular orbital theory, ligand field theory, hybridization, and more. Figures are included so that reader can visualize the symmetry, symmetry elements, and operations.
Author : Alan Vincent
Publisher : John Wiley & Sons
Page : 224 pages
File Size : 40,90 MB
Release : 2013-06-05
Category : Science
ISBN : 1118723384
This substantially revised and expanded new edition of the bestselling textbook, addresses the difficulties that can arise with the mathematics that underpins the study of symmetry, and acknowledges that group theory can be a complex concept for students to grasp. Written in a clear, concise manner, the author introduces a series of programmes that help students learn at their own pace and enable to them understand the subject fully. Readers are taken through a series of carefully constructed exercises, designed to simplify the mathematics and give them a full understanding of how this relates to the chemistry. This second edition contains a new chapter on the projection operator method. This is used to calculate the form of the normal modes of vibration of a molecule and the normalised wave functions of hybrid orbitals or molecular orbitals. The features of this book include: * A concise, gentle introduction to symmetry and group theory * Takes a programmed learning approach * New material on projection operators, and the calcultaion of normal modes of vibration and normalised wave functions of orbitals This book is suitable for all students of chemistry taking a first course in symmetry and group theory.
Author : Patrick W. M. Jacobs
Publisher : Cambridge University Press
Page : 520 pages
File Size : 35,20 MB
Release : 2005-10-18
Category : Mathematics
ISBN : 9780521642507
This book provides a rigorous account on the fundamentals and applications of Group Theory to chemical physics.
Author : David M. Bishop
Publisher : Courier Corporation
Page : 322 pages
File Size : 37,42 MB
Release : 2012-07-12
Category : Science
ISBN : 0486132323
Concise, self-contained introduction to group theory and its applications to chemical problems. Symmetry, matrices, molecular vibrations, transition metal chemistry, more. Relevant math included. Advanced-undergraduate/graduate-level. 1973 edition.
Author : Cotton
Publisher : Wiley-Interscience
Page : 480 pages
File Size : 19,25 MB
Release : 2015-04-03
Category :
ISBN : 9781119115410
The book begins with the rigorous mathematical basis on which all applications of group theory in chemistry rest. It develops this basis from the beginning, with careful attention to the background and training of chemists. It provides extensive drill in the recognition and classification of molecular symmetry, and then takes up, chapter by chapter, all of the principal applications of group theory in chemistry. The text is directed especially to chemists and covers the whole subject from the mathematical foundation to all of the principal applications, including crystallography. The text will benefit physical, organic and inorganic chemists.
Author : Arnout Jozef Ceulemans
Publisher : Springer Science & Business Media
Page : 276 pages
File Size : 13,87 MB
Release : 2013-09-03
Category : Science
ISBN : 940076863X
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.
Author : Arthur M. Lesk
Publisher : Springer Science & Business Media
Page : 126 pages
File Size : 44,25 MB
Release : 2007-05-08
Category : Science
ISBN : 1402021518
This book is based on a one-semester course for advanced undergraduates specializing in physical chemistry. I am aware that the mathematical training of most science majors is more heavily weighted towards analysis – typ- ally calculus and differential equations – than towards algebra. But it remains my conviction that the basic ideas and applications of group theory are not only vital, but not dif?cult to learn, even though a formal mathematical setting with emphasis on rigor and completeness is not the place where most chemists would feel most comfortable in learning them. The presentation here is short, and limited to those aspects of symmetry and group theory that are directly useful in interpreting molecular structure and spectroscopy. Nevertheless I hope that the reader will begin to sense some of the beauty of the subject. Symmetry is at the heart of our understanding of the physical laws of nature. If a reader is happy with what appears in this book, I must count this a success. But if the book motivates a reader to move deeper into the subject, I shall be grati?ed.
Author : R. C. Maurya
Publisher : Walter de Gruyter GmbH & Co KG
Page : 577 pages
File Size : 21,39 MB
Release : 2019-09-02
Category : Science
ISBN : 3110635127
The mathematical fundamentals of molecular symmetry and group theory are comprehensibly described in this book. Applications are given in context of electronic and vibrational spectroscopy as well as chemical reactions following orbital symmetry rules. Exercises and examples compile and deepen the content in a lucid manner.
Author : Daniel C. Harris
Publisher : Courier Corporation
Page : 588 pages
File Size : 10,26 MB
Release : 1989-01-01
Category : Science
ISBN : 9780486661445
Informal, effective undergraduate-level text introduces vibrational and electronic spectroscopy, presenting applications of group theory to the interpretation of UV, visible, and infrared spectra without assuming a high level of background knowledge. 200 problems with solutions. Numerous illustrations. "A uniform and consistent treatment of the subject matter." — Journal of Chemical Education.
