Group Theory In Spectroscopy

Author : Boris S. Tsukerblat
Publisher : Courier Corporation
Page : 465 pages
File Size : 51,9 Mb
Release : 2006-08-18
Category : Science
ISBN : 9780486450353

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Group Theory in Chemistry and Spectroscopy by Boris S. Tsukerblat Pdf

This handbook on group theory is geared toward chemists and experimental physicists who use spectroscopy and require knowledge of the electronic structures of the materials they investigate. Accessible to undergraduate students, it takes an elementary approach to many of the key concepts. Rather than the deductive method common to books on mathematics and theoretical physics, the present volume introduces fundamental concepts with simple examples, relating them to specific chemical and physical problems. The text is centered on detailed analysis of examples. Since neither chemists nor spectroscopists require theorem proofs, very few appear here. Instead, the focus remains on the principal conclusions, their meaning, and their use. In keeping with the text's practical bias, the main results of group theory are presented in all sections as procedures, making possible their systematic and step-by-step-application. Each chapter contains problems that develop practical skill and provide a valuable supplement to the text.

Author : Kieran C Molloy
Publisher : Elsevier
Page : 237 pages
File Size : 51,8 Mb
Release : 2010-12-21
Category : Mathematics
ISBN : 9780857092410

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Group Theory for Chemists by Kieran C Molloy Pdf

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

Author : R. C. Maurya,J.M. Mir
Publisher : Walter de Gruyter GmbH & Co KG
Page : 511 pages
File Size : 44,6 Mb
Release : 2019-09-02
Category : Science
ISBN : 9783110635126

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Molecular Symmetry and Group Theory by R. C. Maurya,J.M. Mir Pdf

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,Michael D. Bertolucci
Publisher : Courier Corporation
Page : 588 pages
File Size : 49,6 Mb
Release : 1989-01-01
Category : Science
ISBN : 048666144X

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Symmetry and Spectroscopy by Daniel C. Harris,Michael D. Bertolucci Pdf

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.

Author : Lucjan Piela
Publisher : Elsevier
Page : 1122 pages
File Size : 43,6 Mb
Release : 2006-11-28
Category : Science
ISBN : 9780080466767

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Ideas of Quantum Chemistry by Lucjan Piela Pdf

Ideas of Quantum Chemistry shows how quantum mechanics is applied to chemistry to give it a theoretical foundation. The structure of the book (a TREE-form) emphasizes the logical relationships between various topics, facts and methods. It shows the reader which parts of the text are needed for understanding specific aspects of the subject matter. Interspersed throughout the text are short biographies of key scientists and their contributions to the development of the field.Ideas of Quantum Chemistry has both textbook and reference work aspects. Like a textbook, the material is organized into digestable sections with each chapter following the same structure. It answers frequently asked questions and highlights the most important conclusions and the essential mathematical formulae in the text. In its reference aspects, it has a broader range than traditional quantum chemistry books and reviews virtually all of the pertinent literature. It is useful both for beginners as well as specialists in advanced topics of quantum chemistry. The book is supplemented by an appendix on the Internet. * Presents the widest range of quantum chemical problems covered in one book * Unique structure allows material to be tailored to the specific needs of the reader * Informal language facilitates the understanding of difficult topics

Author : David M. Bishop
Publisher : Courier Corporation
Page : 322 pages
File Size : 43,6 Mb
Release : 2012-07-12
Category : Science
ISBN : 9780486132327

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Group Theory and Chemistry by David M. Bishop Pdf

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 : K. Veera Reddy
Publisher : New Age International
Page : 28 pages
File Size : 47,8 Mb
Release : 2007
Category : Group theory
ISBN : 9788122424515

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Symmetry and Spectroscopy of Molecules by K. Veera Reddy Pdf

Author : Rakshit Ameta,Suresh C. Ameta
Publisher : CRC Press
Page : 392 pages
File Size : 52,8 Mb
Release : 2016-11-03
Category : Science
ISBN : 9781771883993

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Chemical Applications of Symmetry and Group Theory by Rakshit Ameta,Suresh C. Ameta Pdf

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 : Mildred S. Dresselhaus,Gene Dresselhaus,Ado Jorio
Publisher : Springer Science & Business Media
Page : 576 pages
File Size : 41,5 Mb
Release : 2007-12-18
Category : Science
ISBN : 9783540328995

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Group Theory by Mildred S. Dresselhaus,Gene Dresselhaus,Ado Jorio Pdf

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.

Author : Philip Bunker
Publisher : Elsevier
Page : 441 pages
File Size : 44,5 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780323150255

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Molecular Symmetry and Spectroscopy by Philip Bunker Pdf

Molecular Symmetry and Spectroscopy deals with the use of group theory in quantum mechanics in relation to problems in molecular spectroscopy. It discusses the use of the molecular symmetry group, whose elements consist of permutations of identical nuclei with or without inversion. After reviewing the permutation groups, inversion operation, point groups, and representation of groups, the book describes the use of representations for labeling molecular energy. The text explains an approximate time independent Schrödinger equation for a molecule, as well as the effect of a nuclear permutation or the inversion of E* on such equation. The book also examines the expression for the complete molecular Hamiltonian and the several groups of operations commuting with the Hamiltonian. The energy levels of the Hamiltonian can then be symmetrically labeled by the investigator using the irreducible representations of these groups. The text explains the two techniques to change coordinates in a Schrödinger equation, namely, (1) by using a diatomic molecule in the rovibronic Schrödinger equation, and (2) by a rigid nonlinear polyatomic molecule. The book also explains that using true symmetry, basis symmetry, near symmetry, and near quantum numbers, the investigator can label molecular energy levels. The text can benefit students of molecular spectroscopy, academicians, and investigators of molecular chemistry or quantum mechanics.

Author : George Davidson
Publisher : Unknown
Page : 236 pages
File Size : 50,7 Mb
Release : 1991
Category : Mathematics
ISBN : STANFORD:36105017535977

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Group Theory for Chemists by George Davidson Pdf

The number of areas of chemistry in which the application of simple group theoretical ideas is important for undergraduate and postgraduate students has increased over recent years. This book aims to cover the essential group theory with emphasis on the application of theory.

Author : Alan Vincent
Publisher : John Wiley & Sons
Page : 224 pages
File Size : 48,6 Mb
Release : 2013-06-05
Category : Science
ISBN : 9781118723388

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Molecular Symmetry and Group Theory by Alan Vincent Pdf

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 : Frank Albert Cotton
Publisher : John Wiley & Sons
Page : 410 pages
File Size : 55,5 Mb
Release : 1971
Category : Mathematics
ISBN : UOM:39015016106497

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Chemical Applications of Group Theory by Frank Albert Cotton Pdf

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 : Robert L. Carter
Publisher : John Wiley & Sons
Page : 326 pages
File Size : 52,7 Mb
Release : 1997-12-16
Category : Science
ISBN : 9780471149552

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Molecular Symmetry and Group Theory by Robert L. Carter Pdf

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 : Takashiro Akitsu
Publisher : BoD – Books on Demand
Page : 188 pages
File Size : 45,9 Mb
Release : 2018-07-18
Category : Science
ISBN : 9781789233148

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Symmetry (Group Theory) and Mathematical Treatment in Chemistry by Takashiro Akitsu Pdf

The aim of this book Symmetry (Group Theory) and Mathematical Treatment in Chemistry is to be a graduate school-level text about introducing recent research examples associated with symmetry (group theory) and mathematical treatment in inorganic or organic chemistry, physical chemistry or chemical physics, and theoretical chemistry. Chapters contained can be classified into mini-review, tutorial review, or original research chapters of mathematical treatment in chemistry with brief explanation of related mathematical theories. Keywords are symmetry, group theory, crystallography, solid state, topology, molecular structure, electronic state, quantum chemistry, theoretical chemistry, and DFT calculations.