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| Author | : John R. Ferraro |
| Publisher | : Springer |
| Total Pages | : 239 |
| Release | : 2013-11-09 |
| Genre | : Mathematics |
| ISBN | : 1489964711 |
Download Introductory Group Theory Book in PDF, ePub and Kindle
This volume is a consequence of a series of seminars presented by the authors at the Infrared Spectroscopy Institute, Canisius College, Buffalo, New York, over the last nine years. Many participants on an intermediate level lacked a sufficient background in mathematics and quantum mechan ics, and it became evident that a non mathematical or nearly nonmathe matical approach would be necessary. The lectures were designed to fill this need and proved very successful. As a result of the interest that was developed in this approach, it was decided to write this book. The text is intended for scientists and students with only limited theore tical background in spectroscopy, but who are sincerely interested in the interpretation of molecular spectra. The book develops the detailed selection rules for fundamentals, combinations, and overtones for molecules in several point groups. Detailed procedures used in carrying out the normal coordinate treatment for several molecules are also presented. Numerous examples from the literature illustrate the use of group theory in the in terpretation of molecular spectra and in the determination of molecular structure.
| Author | : John Ferraro |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 294 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1468487957 |
Download Introductory Group Theory and Its Application to Molecular Structure Book in PDF, ePub and Kindle
The success of the first edition of this book has encouraged us to revise and update it. In the second edition we have attempted to further clarify por tions of the text in reference to point symmetry, keeping certain sections and removing others. The ever-expanding interest in solids necessitates some discussion on space symmetry. In this edition we have expanded the discus sion on point symmetry to include space symmetry. The selection rules in clude space group selection rules (for k = 0). Numerous examples are pro vided to acquaint the reader with the procedure necessary to accomplish this. Recent examples from the literature are given to illustrate the use of group theory in the interpretation of molecular spectra and in the determination of molecular structure. The text is intended for scientists and students with only a limited theoretical background in spectroscopy. For this reason we have presented detailed procedures for carrying out the selection rules and normal coor dinate treatment of molecules. We have chosen to exclude discussion on symmetry aspects of molecular orbital theory and ligand field theory. It has been our approach to highlight vibrational data only, primarily to keep the size and cost of the book to a reasonable limit.
| Author | : John Ferraro |
| Publisher | : |
| Total Pages | : 312 |
| Release | : 1975-12-01 |
| Genre | : |
| ISBN | : 9781468487961 |
Download Introductory Group Theory and Its Applications to Molecular Structure Book in PDF, ePub and Kindle
| Author | : Alan Vincent |
| Publisher | : John Wiley & Sons |
| Total Pages | : 224 |
| Release | : 2013-06-05 |
| Genre | : Science |
| ISBN | : 1118723384 |
Download Molecular Symmetry and Group Theory Book in PDF, ePub and Kindle
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 | : Sidney F. A. Kettle |
| Publisher | : John Wiley & Sons |
| Total Pages | : 436 |
| Release | : 1995-06-15 |
| Genre | : Mathematics |
| ISBN | : 9780471954767 |
Download Symmetry and Structure Book in PDF, ePub and Kindle
This revised and updated edition emphasizes the physical concepts and applications of group theory rather than complex mathematics. User-friendly, it offers a simple approach to space groups, answering many frequently asked questions in detail. Features a new chapter on solid state, scores of diagrams and problems and more questions and answers. Mathematical proofs are included in the appendices.
| Author | : R. McWeeny |
| Publisher | : Elsevier |
| Total Pages | : 263 |
| Release | : 2013-09-03 |
| Genre | : Mathematics |
| ISBN | : 1483226247 |
Download Symmetry Book in PDF, ePub and Kindle
Symmetry: An Introduction to Group Theory and its Application is an eight-chapter text that covers the fundamental bases, the development of the theoretical and experimental aspects of the group theory. Chapter 1 deals with the elementary concepts and definitions, while Chapter 2 provides the necessary theory of vector spaces. Chapters 3 and 4 are devoted to an opportunity of actually working with groups and representations until the ideas already introduced are fully assimilated. Chapter 5 looks into the more formal theory of irreducible representations, while Chapter 6 is concerned largely with quadratic forms, illustrated by applications to crystal properties and to molecular vibrations. Chapter 7 surveys the symmetry properties of functions, with special emphasis on the eigenvalue equation in quantum mechanics. Chapter 8 covers more advanced applications, including the detailed analysis of tensor properties and tensor operators. This book is of great value to mathematicians, and math teachers and students.
| Author | : Robert L. Carter |
| Publisher | : John Wiley & Sons |
| Total Pages | : 326 |
| Release | : 1997-12-16 |
| Genre | : Science |
| ISBN | : 0471149551 |
Download Molecular Symmetry and Group Theory Book in PDF, ePub and Kindle
A Thorough But Understandable Introduction To Molecular Symmetry And Group Theory As Applied To Chemical Problems! In a friendly, easy-to-understand style, this new book invites the reader to discover by example the power of symmetry arguments for understanding theoretical problems in chemistry. The author shows the evolution of ideas and demonstrates the centrality of symmetry and group theory to a complete understanding of the theory of structure and bonding. Plus, the book offers explicit demonstrations of the most effective techniques for applying group theory to chemical problems, including the tabular method of reducing representations and the use of group-subgroup relationships for dealing with infinite-order groups. Also Available From Wiley: * Concepts and Models of Inorganic Chemistry, 3/E, by Bodie E. Douglas, Darl H. McDaniel, and John J. Alexander 0-471-62978-2 * Basic Inorganic Chemistry, 3/E, by F. Albert Cotton, Paul Gaus, and Geoffrey Wilkinson 0-471-50532-3
| Author | : Gerald Burns |
| Publisher | : Academic Press |
| Total Pages | : 446 |
| Release | : 2014-05-10 |
| Genre | : Mathematics |
| ISBN | : 1483191494 |
Download Introduction to Group Theory with Applications Book in PDF, ePub and Kindle
Introduction to Group Theory with Applications covers the basic principles, concepts, mathematical proofs, and applications of group theory. This book is divided into 13 chapters and begins with discussions of the elementary topics related to the subject, including symmetry operations and group concepts. The succeeding chapters deal with the properties of matrix representations of finite groups, the vibrations of molecular and crystals, vibrational wave function, selection rules, and molecular approximations. These topics are followed by reviews of the basic of quantum mechanics, crystal field theory, atomic physics, hybrid functions, and molecular orbital theory. The last chapters describe the symmetry of crystal lattices, the band theory of solids, and the full rotation group. This book will be of value to undergraduate mathematics and physics students.
| Author | : Arthur M. Lesk |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 126 |
| Release | : 2007-05-08 |
| Genre | : Science |
| ISBN | : 1402021518 |
Download Introduction to Symmetry and Group Theory for Chemists Book in PDF, ePub and Kindle
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 | : Kishor Arora |
| Publisher | : |
| Total Pages | : 312 |
| Release | : 2003-01-01 |
| Genre | : |
| ISBN | : 9788126114306 |
Download Concept And Application Of Group Theory Book in PDF, ePub and Kindle
Quantum Mechanics Provides The Basis For Solution Of Molecular Structure And Group Theory Is The Mathematics Which Serves As A Link Between The Molecular Symmetry And Quantum Mechanics. Therefore, The Knowledge Of Group Theory Is Essential To Understand The Structural Aspects Of Molecules.The Basic Purpose Of The Present Book Is To Describe The Fundamental Concepts Related To Symmetry And Group Theory And To Discuss Their Applications, In Lucid Manner With Optimum Mathematical Part Which Is Required To Understand The Chemical Problems. The Book Is Divided Into Ten Chapters Emphasizing On The Concepts And Applications Of Group Theory. It Is Tried To Include Enormous And Sufficient Number Of Examples To Explain The Concepts. Hope That This Book Will Definitely Serve The Purpose And Prove To Be Useful For The Students Who Are Pursuing Their Studies In This Subject At Graduation Or Post-Graduation Level.
