Introductory Group Theory

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Publisher : Springer
ISBN 13 : 1489964711
Total Pages : 239 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Introductory Group Theory by : John R. Ferraro

Download or read book Introductory Group Theory written by John R. Ferraro and published by Springer. This book was released on 2013-11-09 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introductory Group Theory and Its Application to Molecular Structure

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Publisher : Springer Science & Business Media
ISBN 13 : 1468487957
Total Pages : 294 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Introductory Group Theory and Its Application to Molecular Structure by : John Ferraro

Download or read book Introductory Group Theory and Its Application to Molecular Structure written by John Ferraro and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introductory Group Theory and Its Applications to Molecular Structure

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Publisher :
ISBN 13 : 9781468487961
Total Pages : 312 pages
Book Rating : 4.4/5 (879 download)

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Book Synopsis Introductory Group Theory and Its Applications to Molecular Structure by : John Ferraro

Download or read book Introductory Group Theory and Its Applications to Molecular Structure written by John Ferraro and published by . This book was released on 1975-12-01 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Molecular Symmetry and Group Theory

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 1118723384
Total Pages : 224 pages
Book Rating : 4.1/5 (187 download)

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Book Synopsis Molecular Symmetry and Group Theory by : Alan Vincent

Download or read book Molecular Symmetry and Group Theory written by Alan Vincent and published by John Wiley & Sons. This book was released on 2013-06-05 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Symmetry and Structure

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Publisher : John Wiley & Sons
ISBN 13 : 9780471954767
Total Pages : 436 pages
Book Rating : 4.9/5 (547 download)

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Book Synopsis Symmetry and Structure by : Sidney F. A. Kettle

Download or read book Symmetry and Structure written by Sidney F. A. Kettle and published by John Wiley & Sons. This book was released on 1995-06-15 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Symmetry and Group Theory for Chemists

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Publisher : Springer Science & Business Media
ISBN 13 : 1402021518
Total Pages : 126 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Introduction to Symmetry and Group Theory for Chemists by : Arthur M. Lesk

Download or read book Introduction to Symmetry and Group Theory for Chemists written by Arthur M. Lesk and published by Springer Science & Business Media. This book was released on 2007-05-08 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Group Theory and Chemistry

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Publisher : Courier Corporation
ISBN 13 : 0486132323
Total Pages : 322 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Group Theory and Chemistry by : David M. Bishop

Download or read book Group Theory and Chemistry written by David M. Bishop and published by Courier Corporation. This book was released on 2012-07-12 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Symmetry

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Publisher : Elsevier
ISBN 13 : 1483226247
Total Pages : 263 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Symmetry by : R. McWeeny

Download or read book Symmetry written by R. McWeeny and published by Elsevier. This book was released on 2013-09-03 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Applications of Group Theory to Atoms, Molecules, and Solids

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Publisher : Cambridge University Press
ISBN 13 : 1107028523
Total Pages : 485 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Applications of Group Theory to Atoms, Molecules, and Solids by : Thomas Wolfram

Download or read book Applications of Group Theory to Atoms, Molecules, and Solids written by Thomas Wolfram and published by Cambridge University Press. This book was released on 2014-01-09 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: An applications-oriented approach gives graduate students and researchers in the physical sciences the tools needed to analyze any physical system.

Molecular Symmetry and Group Theory

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Publisher : John Wiley & Sons
ISBN 13 : 0471149551
Total Pages : 326 pages
Book Rating : 4.4/5 (711 download)

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Book Synopsis Molecular Symmetry and Group Theory by : Robert L. Carter

Download or read book Molecular Symmetry and Group Theory written by Robert L. Carter and published by John Wiley & Sons. This book was released on 1997-12-16 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Introduction to Group Theory with Applications

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Publisher : Academic Press
ISBN 13 : 1483191494
Total Pages : 446 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Introduction to Group Theory with Applications by : Gerald Burns

Download or read book Introduction to Group Theory with Applications written by Gerald Burns and published by Academic Press. This book was released on 2014-05-10 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Concept And Application Of Group Theory

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Publisher :
ISBN 13 : 9788126114306
Total Pages : 312 pages
Book Rating : 4.1/5 (143 download)

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Book Synopsis Concept And Application Of Group Theory by : Kishor Arora

Download or read book Concept And Application Of Group Theory written by Kishor Arora and published by . This book was released on 2003-01-01 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

GROUP THEORY AND ITS APPLICATIONS IN CHEMISTRY, SECOND EDITION

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Publisher : PHI Learning Pvt. Ltd.
ISBN 13 : 8120351347
Total Pages : 235 pages
Book Rating : 4.1/5 (23 download)

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Book Synopsis GROUP THEORY AND ITS APPLICATIONS IN CHEMISTRY, SECOND EDITION by : KUNJU, A. SALAHUDDIN

Download or read book GROUP THEORY AND ITS APPLICATIONS IN CHEMISTRY, SECOND EDITION written by KUNJU, A. SALAHUDDIN and published by PHI Learning Pvt. Ltd.. This book was released on 2015-08-31 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, divided into two parts, now in its second edition, presents the basic principles of group theory and their applications in chemical theories. While retaining the thorough coverage of the previous edition, the book in Part I, discusses the symmetry elements, point groups and construction of character tables for different point groups. In Part II, it describes the concept of hybridization to explain the shapes of molecules and analyzes the character tables to predict infrared and Raman active vibrational modes of molecules. It also brings into fore the molecular orbital theory and the techniques of group theory to interpret bonding in transition metal complexes and their electronic spectra. Finally, the book describes the crystal symmetry in detail as well as the Woodward–Hoffmann rules to determine the pathways of electrocyclic and cycloaddition reactions. NEW TO THE SECOND EDITION • New sections on Direct Product, Group–sub-group Relationships, Effect of Descent in Octahedral Symmetry on Degeneracy, Jahn–Teller Distortion, Group–sub-group Relationships and Electronic Spectra of Complexes and Influence of Coordination on the Infrared Spectra of Oxoanionic Ligands, Space Groups • Revised sections on Projection Operator, SALC Molecular Orbitals of Benzene and π-Molecular Orbitals of 1, 3-Butadiene KEY FEATURES • Provides mathematical foundations to understand group theory. • Includes several examples to illustrate applications of group theory. • Presents chapter-end exercises to help the students check their understanding of the subject matter. The book is designed for the senior undergraduate students and postgraduate students of Chemistry. It will also be of immense use to the researchers in the fields where group theory is applied.

Molecular Symmetry and Group Theory

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110635038
Total Pages : 478 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Molecular Symmetry and Group Theory by : R. C. Maurya

Download or read book Molecular Symmetry and Group Theory written by R. C. Maurya and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-09-02 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Chemical Applications of Symmetry and Group Theory

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Publisher : CRC Press
ISBN 13 : 1315341948
Total Pages : 370 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis Chemical Applications of Symmetry and Group Theory by : Rakshit Ameta

Download or read book Chemical Applications of Symmetry and Group Theory written by Rakshit Ameta and published by CRC Press. This book was released on 2016-11-03 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Group Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3540328998
Total Pages : 576 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Group Theory by : Mildred S. Dresselhaus

Download or read book Group Theory written by Mildred S. Dresselhaus and published by Springer Science & Business Media. This book was released on 2007-12-18 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise, class-tested book was refined over the authors’ 30 years as instructors at MIT and the University Federal of Minas Gerais (UFMG) in Brazil. The approach centers on the conviction that teaching group theory along with applications helps students to learn, understand and use it for their own needs. Thus, the theoretical background is confined to introductory chapters. Subsequent chapters develop new theory alongside applications so that students can retain new concepts, build on concepts already learned, and see interrelations between topics. Essential problem sets between chapters aid retention of new material and consolidate material learned in previous chapters.

Group Theory for Chemists

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Publisher : Elsevier
ISBN 13 : 0857092413
Total Pages : 237 pages
Book Rating : 4.8/5 (57 download)

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Book Synopsis Group Theory for Chemists by : Kieran C Molloy

Download or read book Group Theory for Chemists written by Kieran C Molloy and published by Elsevier. This book was released on 2010-12-21 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: The basics of group theory and its applications to themes such as the analysis of vibrational spectra and molecular orbital theory are essential knowledge for the undergraduate student of inorganic chemistry. The second edition of Group Theory for Chemists uses diagrams and problem-solving to help students test and improve their understanding, including a new section on the application of group theory to electronic spectroscopy.Part one covers the essentials of symmetry and group theory, including symmetry, point groups and representations. Part two deals with the application of group theory to vibrational spectroscopy, with chapters covering topics such as reducible representations and techniques of vibrational spectroscopy. In part three, group theory as applied to structure and bonding is considered, with chapters on the fundamentals of molecular orbital theory, octahedral complexes and ferrocene among other topics. Additionally in the second edition, part four focuses on the application of group theory to electronic spectroscopy, covering symmetry and selection rules, terms and configurations and d-d spectra.Drawing on the author's extensive experience teaching group theory to undergraduates, Group Theory for Chemists provides a focused and comprehensive study of group theory and its applications which is invaluable to the student of chemistry as well as those in related fields seeking an introduction to the topic. - Provides a focused and comprehensive study of group theory and its applications, an invaluable resource to students of chemistry as well as those in related fields seeking an introduction to the topic - Presents diagrams and problem-solving exercises to help students improve their understanding, including a new section on the application of group theory to electronic spectroscopy - Reviews the essentials of symmetry and group theory, including symmetry, point groups and representations and the application of group theory to vibrational spectroscopy