Fundamentals Of Molecular Symmetry

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Fundamentals of Molecular Symmetry

Author : P.R. Bunker,P. Jensen
Publisher : CRC Press
Page : 244 pages
File Size : 50,5 Mb
Release : 2018-10-03
Category : Science
ISBN : 9781351989855

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Fundamentals of Molecular Symmetry by P.R. Bunker,P. Jensen Pdf

Winner of a 2005 CHOICE Outstanding Academic Book Award Molecular symmetry is an easily applied tool for understanding and predicting many of the properties of molecules. Traditionally, students are taught this subject using point groups derived from the equilibrium geometry of the molecule. Fundamentals of Molecular Symmetry shows how to set up symmetry groups for molecules using the more general idea of energy invariance. It is no more difficult than using molecular geometry and one obtains molecular symmetry groups. The book provides an introductory description of molecular spectroscopy and quantum mechanics as the foundation for understanding how molecular symmetry is defined and used. The approach taken gives a balanced account of using both point groups and molecular symmetry groups. Usually the point group is only useful for isolated, nonrotating molecules, executing small amplitude vibrations, with no tunneling, in isolated electronic states. However, for the chemical physicist or physical chemist who wishes to go beyond these limitations, the molecular symmetry group is almost always required.

Fundamentals of Molecular Symmetry

Author : P.R. Bunker,P. Jensen
Publisher : CRC Press
Page : 358 pages
File Size : 47,7 Mb
Release : 2018-10-03
Category : Science
ISBN : 9780429837005

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Fundamentals of Molecular Symmetry by P.R. Bunker,P. Jensen Pdf

Winner of a 2005 CHOICE Outstanding Academic Book Award Molecular symmetry is an easily applied tool for understanding and predicting many of the properties of molecules. Traditionally, students are taught this subject using point groups derived from the equilibrium geometry of the molecule. Fundamentals of Molecular Symmetry shows how to set up symmetry groups for molecules using the more general idea of energy invariance. It is no more difficult than using molecular geometry and one obtains molecular symmetry groups. The book provides an introductory description of molecular spectroscopy and quantum mechanics as the foundation for understanding how molecular symmetry is defined and used. The approach taken gives a balanced account of using both point groups and molecular symmetry groups. Usually the point group is only useful for isolated, nonrotating molecules, executing small amplitude vibrations, with no tunneling, in isolated electronic states. However, for the chemical physicist or physical chemist who wishes to go beyond these limitations, the molecular symmetry group is almost always required.

Molecular Symmetry and Spectroscopy

Author : Philip Bunker
Publisher : Elsevier
Page : 441 pages
File Size : 41,9 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.

Molecular Symmetry and Group Theory

Author : R. C. Maurya,J.M. Mir
Publisher : Walter de Gruyter GmbH & Co KG
Page : 511 pages
File Size : 41,7 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.

Molecular Symmetry

Author : David S. Schonland
Publisher : Unknown
Page : 320 pages
File Size : 48,8 Mb
Release : 1965
Category : Mathematics
ISBN : UOM:39015003430777

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Molecular Symmetry by David S. Schonland Pdf

Symmetry and Spectroscopy

Author : Daniel C. Harris,Michael D. Bertolucci
Publisher : Courier Corporation
Page : 588 pages
File Size : 46,7 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.

Atomic & Molecular Symmetry Groups and Chemistry

Author : S.C. Rakshit
Publisher : CRC Press
Page : 424 pages
File Size : 43,8 Mb
Release : 2021-08-19
Category : Science
ISBN : 9781000441321

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Atomic & Molecular Symmetry Groups and Chemistry by S.C. Rakshit Pdf

Atomic Symmetry Groups, being continuous groups, are just a fallout of the Lie Groups and Lie Algebras. Atoms are structurally simpler than molecules but atomic symmetry is more complex than molecular symmetry. In quantum mechanics we study atoms first and then the molecules. In symmetry studies, we do just the reverse. In this book, apart from theories, the description of both the symmetry groups – atomic and molecular, are attended with adequate applications. Please note: Taylor & Francis does not sell or distribute the Hardback in India, Pakistan, Nepal, Bhutan, Bangladesh and Sri Lanka.

Molecular Symmetry

Author : David Willock
Publisher : John Wiley & Sons
Page : 438 pages
File Size : 48,5 Mb
Release : 2009-02-17
Category : Science
ISBN : 9780470747421

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Molecular Symmetry by David Willock Pdf

Symmetry and group theory provide us with a formal method for the description of the geometry of objects by describing the patterns in their structure. In chemistry it is a powerful method that underlies many apparently disparate phenomena. Symmetry allows us to accurately describe the types of bonding that can occur between atoms or groups of atoms in molecules. It also governs the transitions that may occur between energy levels in molecular systems, which in turn allows us to predict the absorption properties of molecules and hence their spectra. Molecular Symmetry lays out the formal language used in the area using illustrative examples of particular molecules throughout. It then applies the ideas of symmetry to describe molecular structure, bonding in molecules and consider the implications in spectroscopy.Topics covered include: Symmetry elements Symmetry operations and products of operations Point groups used with molecules Point group representations, matrices and basis sets Reducible and irreducible representations Applications in vibrational spectroscopy Symmetry in chemical bonding Molecular Symmetry is designed to introduce the subject by combining symmetry with spectroscopy in a clear and accessible manner. Each chapter ends with a summary of learning points, a selection of self-test questions, and suggestions for further reading. A set of appendices includes templates for paper models which will help students understand symmetry groups. Molecular Symmetry is a must-have introduction to this fundamental topic for students of chemistry, and will also find a place on the bookshelves of postgraduates and researchers looking for a broad and modern introduction to the subject

Molecular Symmetry and Group Theory

Author : Alan Vincent
Publisher : John Wiley & Sons
Page : 224 pages
File Size : 49,6 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.

Molecular Symmetry and Group Theory

Author : Robert L. Carter
Publisher : John Wiley & Sons
Page : 326 pages
File Size : 46,7 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

Molecular Symmetry

Author : David S. Schonlano
Publisher : Unknown
Page : 298 pages
File Size : 52,5 Mb
Release : 1983
Category : Electronic
ISBN : OCLC:818505998

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Molecular Symmetry by David S. Schonlano Pdf

Group Theory for Chemists

Author : Kieran C Molloy
Publisher : Elsevier
Page : 237 pages
File Size : 44,8 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

Symmetry Properties of Molecules

Author : G. S. Ezra
Publisher : Springer Science & Business Media
Page : 212 pages
File Size : 43,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642931970

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Symmetry Properties of Molecules by G. S. Ezra Pdf

The aIm of the present article is to give a critical exposition of the theory of the symmetry properties of rigid and nonrigid molecules. Despite the fact that several accounts of the subject, both technical and didactic, are now available, and despite the extensive discussion of nonrigid molecule symmetry that has been going on since the classic papers of Hougen and Longuet-Higgins, there remains a need for a unifying survey of the problem. Previous treatments have tended to emphasize one or the other particular viewpoint at the expense of a broader view. Renewed interest in the details of the symmetry classification of rotation vibration states of highly symmetric (octahedral) molecules has led to a reexam ination of the relation between conventional point group operations and permutations of identical nuclei in rigid molecules, together with a clarification of the fundamental role of the Eckart constraints and associated Eckart frame. As is shown below, analogous insights can also be obtained in the case of nonrigid molecule symmetry, where the Eckart-Sayvetz conditions provide a natural generalization of the Eckart constraints. The importance of particular definitions of the 'molecule-fixed' frame in the theory of molecular symmetry can be better appreciated by examining their dynamical origin. Chapter 1 is therefore devoted to a description of the derivation of the usual Wilson-Howard-Watson form of the molecular Hamiltonian, together with its generalization to nonrigid molecules. Particular attention is given to the intro duction of molecular models and use of the Eckart and Eckart-Sayvetz constraints.

Fundamentals of Molecular Spectroscopy

Author : C. N. Banwell
Publisher : McGraw-Hill Companies
Page : 366 pages
File Size : 48,6 Mb
Release : 1972
Category : Science
ISBN : MINN:31951000474915A

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Fundamentals of Molecular Spectroscopy by C. N. Banwell Pdf

Symmetry and Spectroscopy of Molecules

Author : K. Veera Reddy
Publisher : New Age International
Page : 28 pages
File Size : 46,8 Mb
Release : 2007
Category : Group theory
ISBN : 9788122424515

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Symmetry and Spectroscopy of Molecules by K. Veera Reddy Pdf