Symmetry And Spectroscopy Download Ebook PDF Epub Online

Author : Daniel C. Harris
Michael D. Bertolucci
Publisher : Courier Corporation
Release : 1989-01-01
Page : 550
Category : Science
ISBN 13 : 9780486661445
Description :


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 : K. Veera Reddy
Publisher : New Age International
Release : 2007-01-01
Page : 650
Category :
ISBN 13 : 8122424511
Description :



Author : Philip Bunker
Publisher : Elsevier
Release : 2012-12-02
Page : 440
Category : Science
ISBN 13 : 032315025X
Description :


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 : R. C. Maurya
J.M. Mir
Publisher : Walter de Gruyter GmbH & Co KG
Release : 2019-09-02
Page : 478
Category : Science
ISBN 13 : 3110635127
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.


Author : Robert Glaser
Publisher : John Wiley & Sons
Release : 2015-10-05
Page : 311
Category : Science
ISBN 13 : 3527337490
Description :


Written in a clear and understandable manner, this book provides a comprehensive, yet non-mathematical, treatment of the topic, covering the basic principles of symmetry and the important spectroscopic techniques used to probe molecular structure. The chapters are extensively illustrated and deal with such topics as symmetry elements, operations and descriptors, symmetry guidelines, high-fidelity pseudosymmetry, crystallographic symmetry, molecular gears, and experimental techniques, including X-ray crystallography and NMR spectroscopy. As an additional feature, 3D animations of most of the structures and molecules covered are available online at wiley.com. As a result, chemists learn how to understand and predict molecular structures and reactivity. Authored by a renowned expert with numerous publications and an excellent track record in research and teaching, this is a useful source for graduate students and researchers working in the field of organic synthesis, physical chemistry, biochemistry, and crystallography, while equally serving as supplementary reading for courses on stereochemistry, organic synthesis, or crystallography.


Author : P.R. Bunker
P. Jensen
Publisher : CRC Press
Release : 2018-10-03
Page : 358
Category : Science
ISBN 13 : 1351989855
Description :


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.


Author : Bodie E. Douglas
Charles A. Hollingsworth
Publisher : Academic Press
Release : 2012-12-02
Page : 456
Category : Science
ISBN 13 : 0323139310
Description :


Many courses dealing with the material in this text are called "Applications of Group Theory." Emphasizing the central role and primary importance of symmetry in the applications, Symmetry in Bonding and Spectra enables students to handle applications, particularly applications to chemical bonding and spectroscopy. It contains the essential background in vectors and matrices for the applications, along with concise reviews of simple molecular orbital theory, ligand field theory, and treatments of molecular shapes, as well as some quantum mechanics. Solved examples in the text illustrate theory and applications or introduce special points. Extensive problem sets cover the important methods and applications, with the answers in the appendix.


Author : David Willock
Publisher : John Wiley & Sons
Release : 2009-04-06
Page : 438
Category : Science
ISBN 13 : 0470853476
Description :


Symmetry and group theory provide us with a rigorous method for the description of the geometry of objects by describing the patterns in their structure. In chemistry it is a powerful concept 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, leading to a predictive understanding of the absorption properties of molecules and hence their spectra. Molecular Symmetry lays out the formal language used in the area, with illustrative examples of particular molecules throughout. It then applies the ideas of symmetry and group theory to describe molecular structure, bonding in molecules and to 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 Molecular orbital theory of chemical bonding Molecular Symmetry is designed to introduce the subject by combining symmetry with spectroscopy and bonding 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 operations and cover key aspects of the material in depth. 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.


Author : Rakshit Ameta
Suresh C. Ameta
Publisher : CRC Press
Release : 2016-11-03
Page : 392
Category : Science
ISBN 13 : 1315341948
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.


Author : Robert L. Carter
Publisher :
Release : 2009-11-12
Page : 312
Category :
ISBN 13 : 9788126524235
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.


Author : Carlo di Lauro
Publisher : Newnes
Release : 2013-04-27
Page : 344
Category : Science
ISBN 13 : 0124078931
Description :


Recent advances in infrared molecular spectroscopy have resulted in sophisticated theoretical and laboratory methods that are difficult to grasp without a solid understanding of the basic principles and underlying theory of vibration-rotation absorption spectroscopy. Rotational Structure in Molecular Infrared Spectra fills the gap between these recent, complex topics and the most elementary methods in the field of rotational structure in the infrared spectra of gaseous molecules. There is an increasing need for people with the skills and knowledge to interpret vibration-rotation spectra in many scientific disciplines, including applications in atmospheric and planetary research. Consequently, the basic principles of vibration-rotation absorption spectroscopy are addressed for contemporary applications. In addition to covering operational quantum mechanical methods, spherical tensor algebra, and group theoretical methods applied to molecular symmetry, attention is also given to phase conventions and their effects on the values of matrix elements. Designed for researchers and PhD students involved in the interpretation of vibration-rotation spectra, the book intentionally separates basic theoretical arguments (in the appendices), allowing readers who are mainly concerned with applications to skip the principles while at the same time providing a sound theoretical basis for readers who are looking for more foundational information. Reviews basic theory and contemporary methods of vibration rotation absorption spectroscopy, including operational quantum mechanical methods, spherical tensor algebra, and group theoretical methods applied to molecular symmetry Covers sophisticated mathematical topics in simple, easy-to-read language Discusses methods and applications separately from basic theoretical arguments for quick reference


Author : Kieran C Molloy
Publisher : Elsevier
Release : 2010-12-21
Page : 232
Category : Science
ISBN 13 : 0857092413
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


Author : D. I. Bower
W. F. Maddams
Publisher : Cambridge University Press
Release : 1992-07-16
Page : 326
Category : Technology & Engineering
ISBN 13 : 9780521421959
Description :


Describes the theory and practice of infrared and Raman spectroscopy as applied to the study of the physical and chemical characteristics of polymers. Its purpose is to give the beginning researcher in the field a firm foundation and a starting point for the study of more advanced literature. To this end the book concentrates on the fundamentals of the theory and nomenclature, and on the discussion of well-documented illustrations of these fundamental principles, including many now-classic studies in the subject. No previous knowledge of either polymers or vibrational spectroscopy is assumed.


Author : J. Michael Hollas
Publisher : John Wiley & Sons
Release : 2013-04-11
Page : 428
Category : Science
ISBN 13 : 1118681606
Description :


The latest edition of this highly acclaimed title introduces the reader to a wide range of spectroscopies, and includes both the background theory and applications to structure determination and chemical analysis. It covers rotational, vibrational, electronic, photoelectron and Auger spectroscopy, as well as EXAFs and the theory of lasers and laser spectroscopy. * A revised and updated edition of a successful, clearly written book * Includes the latest developments in modern laser techniques, such as cavity ring-down spectroscopy and femtosecond lasers * Provides numerous worked examples, calculations and questions at the end of chapters


Author : R. McWeeny
Publisher : Elsevier
Release : 2013-09-03
Page : 262
Category : Mathematics
ISBN 13 : 1483226247
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.


Author : David M. Bishop
Publisher : Courier Corporation
Release : 2012-07-12
Page : 336
Category : Science
ISBN 13 : 0486132323
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.


Author : Norman Colthup
Publisher : Elsevier
Release : 2012-12-02
Page : 536
Category : Science
ISBN 13 : 032316160X
Description :


Introduction to Infrared and Raman Spectroscopy focuses on the theoretical and experimental aspects of infrared and Raman spectroscopy, with emphasis on detailed group frequency correlations and their vibrational origin. Topics covered include vibrational and rotational spectra, molecular symmetry, methyl and methylene groups, triple bonds and cumulated double bonds, and olefin groups. Aromatic and heteroaromatic rings are also considered, along with carbonyl compounds and molecular vibrations. This book is comprised of 14 chapters and begins with a discussion on the use of Raman and infrared spectroscopy to study the vibrational and rotational frequencies of molecules, paying particular attention to photon energy and degrees of freedom of molecular motion. The quantum mechanical harmonic oscillator and the anharmonic oscillator are described. The next chapter focuses on the experimental techniques and instrumentation needed to measure infrared absorption spectra and Raman spectra. Symmetry is then discussed from the standpoint of the spectroscopist. The following chapters explore the vibrational origin of group frequencies, with an emphasis on mechanical effects; spectra-structure correlations; and the spectra of compounds such as ethers, alcohols, and phenols. The final chapter demonstrates how the frequencies and forms of a nonlinear molecule's normal modes of vibration may be calculated mathematically. This monograph will be a useful resource for spectroscopists and physical scientists.


Author : Arthur M. Lesk
Publisher : Springer Science & Business Media
Release : 2007-05-08
Page : 122
Category : Science
ISBN 13 : 1402021518
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.


Author : E. Bright Wilson
J. C. Decius
Publisher : Courier Corporation
Release : 2012-05-11
Page : 416
Category : Science
ISBN 13 : 0486137155
Description :


Pedagogical classic and essential reference focuses on mathematics of detailed vibrational analyses of polyatomic molecules, advancing from application of wave mechanics to potential functions and methods of solving secular determinant.


Author : Boris S. Tsukerblat
Publisher : Courier Corporation
Release : 2006-08-18
Page : 448
Category : Science
ISBN 13 : 048645035X
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.