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Group Theory For Chemists

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Group Theory for Chemists

Group Theory for Chemists Book
Author : Kieran C Molloy
Publisher : Elsevier
Release : 2010-12-21
ISBN : 0857092413
Language : En, Es, Fr & De

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Book Description :

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

Group Theory and Chemistry

Group Theory and Chemistry Book
Author : David M. Bishop
Publisher : Courier Corporation
Release : 2012-07-12
ISBN : 0486132323
Language : En, Es, Fr & De

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Book Description :

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.

Group Theory Applied to Chemistry

Group Theory Applied to Chemistry Book
Author : Arnout Jozef Ceulemans
Publisher : Springer Science & Business Media
Release : 2013-09-03
ISBN : 940076863X
Language : En, Es, Fr & De

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Book Description :

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.

Symmetry and Structure

Symmetry and Structure Book
Author : Sidney F. A. Kettle
Publisher : John Wiley & Sons
Release : 2008-03-11
ISBN : 9780470516188
Language : En, Es, Fr & De

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Book Description :

Building on the foundation of the Second Edition, Symmetry and Structure: Readable Group Theory for Chemists, Third Edition turns the complex and potentially difficult subject of group theory into an accessible and readable account of this core area of chemistry. By using a diagrammatical approach and demonstrating the physical principles involved in understanding group theory, the text provides a non-mathematical, yet thorough, treatment of this broad topic. This new edition has been fully revised and updated to include a much more three-dimensional and accurate visualization of many of the key topics. The chapter on octahedral molecules is extended to cover the important topic of the ligand field theory of octahedral transition metal complexes. Problems and summaries are included at the end of each chapter, the book provides detailed answers to frequently asked questions, and numerous diagrams and tables are featured for ease of reading and to enhance student understanding. Symmetry and Structure: Readable Group Theory for Chemists, Third Edition is an essential textbook for all students, researchers and lecturers in chemistry, biochemistry, chemical engineering, physics and material science.

Symmetry and Group theory in Chemistry

Symmetry and Group theory in Chemistry Book
Author : M Ladd
Publisher : Elsevier
Release : 1998-09-01
ISBN : 0857099779
Language : En, Es, Fr & De

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Book Description :

A comprehensive discussion of group theory in the context of molecular and crystal symmetry, this book covers both point-group and space-group symmetries. Provides a comprehensive discussion of group theory in the context of molecular and crystal symmetry Covers both point-group and space-group symmetries Includes tutorial solutions

Chemical Applications of Symmetry and Group Theory

Chemical Applications of Symmetry and Group Theory Book
Author : Rakshit Ameta,Suresh C. Ameta
Publisher : CRC Press
Release : 2016-11-03
ISBN : 1315341948
Language : En, Es, Fr & De

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Book Description :

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.

Introduction to Symmetry and Group Theory for Chemists

Introduction to Symmetry and Group Theory for Chemists Book
Author : Arthur M. Lesk
Publisher : Springer Science & Business Media
Release : 2007-05-08
ISBN : 1402021518
Language : En, Es, Fr & De

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Book Description :

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 for Chemists

Group Theory for Chemists Book
Author : George Davidson
Publisher : Unknown
Release : 1991
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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.

Group Theory in Chemistry and Spectroscopy

Group Theory in Chemistry and Spectroscopy Book
Author : Boris S. Tsukerblat
Publisher : Courier Corporation
Release : 2006-08-18
ISBN : 048645035X
Language : En, Es, Fr & De

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Book Description :

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.

Symmetry

Symmetry Book
Author : R. McWeeny
Publisher : Elsevier
Release : 2013-09-03
ISBN : 1483226247
Language : En, Es, Fr & De

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Book Description :

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.

Beginning Group Theory for Chemistry

Beginning Group Theory for Chemistry Book
Author : Paul H. Walton
Publisher : OUP Oxford
Release : 1998-10-08
ISBN : 9780198559641
Language : En, Es, Fr & De

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Book Description :

Group theory is an essential part of undergraduate chemistry courses. This accessible supplementary text, teaches the subject from a practical point of view, with worked examples and model answers provided throughout. Its clear, non-technical approach allows students without a mathematical background to be able to complete the exercises in the book.

GROUP THEORY AND ITS APPLICATIONS IN CHEMISTRY SECOND EDITION

GROUP THEORY AND ITS APPLICATIONS IN CHEMISTRY  SECOND EDITION Book
Author : KUNJU, A. SALAHUDDIN,KRISHNAN, G.
Publisher : PHI Learning Pvt. Ltd.
Release : 2015-08-31
ISBN : 8120351347
Language : En, Es, Fr & De

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Book Description :

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

Molecular Symmetry and Group Theory Book
Author : Alan Vincent
Publisher : John Wiley & Sons
Release : 2013-06-05
ISBN : 1118723384
Language : En, Es, Fr & De

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Book Description :

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.

Chemical Applications of Group Theory

Chemical Applications of Group Theory Book
Author : F. Albert Cotton
Publisher : John Wiley & Sons
Release : 1991-01-16
ISBN : 0471510947
Language : En, Es, Fr & De

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Book Description :

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.

Molecular Symmetry And Group Theory

Molecular Symmetry And Group Theory Book
Author : Robert L. Carter
Publisher : Unknown
Release : 2009-11-12
ISBN : 9788126524235
Language : En, Es, Fr & De

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Book Description :

This comprehensive text provides readers with a thorough introduction to molecular symmetry and group theory as applied to chemical problems. Its friendly writing style invites the reader to discover by example the power of symmetry arguments for understanding otherwise intimidating theoretical problems in chemistry. A unique feature demonstrates the centrality of symmetry and group theory to a complete understanding of the theory of structure and bonding." Fundamental Concepts." Representations of Groups." Techniques and Relationships for Chemical Applications." Symmetry and Chemical Bonding." Equations for Wave Functions." Vibrational Spectroscopy." Transition Metal Complexes.

Simple Approach To Group Theory In Chemistry

Simple Approach To Group Theory In Chemistry Book
Author : S Swarnalakshmi
Publisher : Unknown
Release : 2008
ISBN : 9788173716232
Language : En, Es, Fr & De

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Book Description :

Download Simple Approach To Group Theory In Chemistry book written by S Swarnalakshmi, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Applied Group Theory

Applied Group Theory Book
Author : George H. Duffey
Publisher : Courier Corporation
Release : 2015-02-18
ISBN : 0486783146
Language : En, Es, Fr & De

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Book Description :

This text introduces advanced undergraduates and graduate students to key applications of group theory. Topics include the nature of symmetry operations; applications to vibrating systems, continuum mechanics, and quantum structures; permutation, continuous, and rotation groups; and physical Lie algebras. Each chapter concludes with a concise review, discussion questions, problems, and references. 1992 edition.

Computational Quantum Chemistry II The Group Theory Calculator

Computational Quantum Chemistry II   The Group Theory Calculator Book
Author : Charles M. Quinn,Patrick Fowler,David Redmond
Publisher : Elsevier
Release : 2010-07-26
ISBN : 9780080455204
Language : En, Es, Fr & De

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Book Description :

Modern Computational Quantum Chemistry is indispensable for research in the chemical sciences. Computational Quantum Chemistry II - The Group Theory Calculator describes the group theory that the authors have developed in the past twenty-five years and illustrates how this approach, known as the 'Spherical Shell' method, can be applied to solve a variety of problems that benefit from a group theory analysis. To complement the theory, the book is supplied with a CD-ROM (Windows TM application), on which interactive files, based on EXCEL spreadsheet technology controlled by Visual Basic code, can be used to perform straightforwardly group-theory analyses for direct application to the simplification of physical problems in Chemistry, Physics and even Engineering Science. The Group Theory Calculator Web page is located at http://www.chemistry.nuim.ie/gt_calculator.htm. The primary purpose of this Web page is to identify and resolve any problems encountered while using the MS EXCEL files on the CD-ROM (included with the book). The Web page is maintained by Charles M. Quinn and allows readers to gain updates and news relating to this publication. * A comprehensive description of the authors' revolutionary group theory and structural chemistry methodology * A unique reference/ teaching work together with a CD-ROM filled with powerful interactive files that can be applied to solve group theory problems * Valuable companion for instructors, designers and students * Contains powerful calculators that are simple to use and do not require detailed knowledge for their application

Molecular Symmetry and Group Theory

Molecular Symmetry and Group Theory Book
Author : R. C. Maurya,J.M. Mir
Publisher : Walter de Gruyter GmbH & Co KG
Release : 2019-09-02
ISBN : 3110635127
Language : En, Es, Fr & De

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Book Description :

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.

Group Theory with Applications in Chemical Physics

Group Theory with Applications in Chemical Physics Book
Author : Patrick Jacobs,Patrick W. M. Jacobs,Philip Walker Jacobs
Publisher : Cambridge University Press
Release : 2005-10-18
ISBN : 9780521642507
Language : En, Es, Fr & De

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Book Description :

Group Theory is an indispensable mathematical tool in many branches of chemistry and physics. This book provides a self-contained and rigorous account on the fundamentals and applications of the subject to chemical physics, assuming no prior knowledge of group theory. The first half of the book focuses on elementary topics, such as molecular and crystal symmetry, whilst the latter half is more advanced in nature. Discussions on more complex material such as space groups, projective representations, magnetic crystals and spinor bases, often omitted from introductory texts, are expertly dealt with. With the inclusion of numerous exercises and worked examples, this book will appeal to advanced undergraduates and beginning graduate students studying physical sciences and is an ideal text for use on a two-semester course.