Symmetry and Spectroscopy

An Introduction to Vibrational and Electronic Spectroscopy

Author: Daniel C. Harris,Michael D. Bertolucci

Publisher: Courier Corporation

ISBN: 9780486661445

Category: Science

Page: 550

View: 2375

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.

Molecular Symmetry and Spectroscopy

Author: Philip Bunker

Publisher: Elsevier

ISBN: 032315025X

Category: Science

Page: 440

View: 3741

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.

Symmetry, Spectroscopy, and Crystallography

The Structural Nexus

Author: Robert Glaser

Publisher: John Wiley & Sons

ISBN: 3527337490

Category: Science

Page: 311

View: 4871

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 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.

Principles of Symmetry, Dynamics, and Spectroscopy

Author: William G. Harter

Publisher: Wiley-VCH


Category: Science

Page: 880

View: 8279

Imparts a deeper understanding of symmetry principles applied to atomic and molecular dynamics and spectroscopy. Exposes the most powerful mathematical methods without sacrificing physical comprehension. Contains a thorough treatment of group representation theory and applications using projection algebra and subgroup chains. Features extensive graphics and visual aids for wave mechanics and operator algebra.

Molecular Symmetry And Group Theory

Author: Robert L. Carter

Publisher: N.A

ISBN: 9788126524235


Page: 312

View: 6249

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.

Group Theory in Chemistry and Spectroscopy

A Simple Guide to Advanced Usage

Author: Boris S. Tsukerblat

Publisher: Courier Corporation

ISBN: 048645035X

Category: Science

Page: 448

View: 3341

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.

Molecular Vibrations

The Theory of Infrared and Raman Vibrational Spectra

Author: E. Bright Wilson,J. C. Decius,Paul C. Cross

Publisher: Courier Corporation

ISBN: 0486137155

Category: Science

Page: 416

View: 8728

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.

Fundamentals of Molecular Symmetry

Author: P.R. Bunker,P. Jensen

Publisher: CRC Press

ISBN: 9780750309417

Category: Science

Page: 358

View: 3184

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.

Modern Spectroscopy

Author: J. Michael Hollas

Publisher: John Wiley & Sons

ISBN: 0470094710

Category: Science

Page: 480

View: 6093

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

Symmetry in Bonding and Spectra

An Introduction

Author: Bodie E. Douglas,Charles A. Hollingsworth

Publisher: Academic Press

ISBN: 0323139310

Category: Science

Page: 456

View: 7130

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.

Spectra of Atoms and Molecules

Author: Peter F. Bernath

Publisher: Oxford University Press

ISBN: 0199382573

Category: Atomic spectroscopy

Page: 488

View: 1273

This third edition of Peter Bernath's successful Spectra of Atoms and Molecules is designed to provide advanced undergraduates and graduate students a working knowledge of the vast field of spectroscopy. Also of interest to chemists, physicists, astronomers, atmospheric scientists, and engineers, this volume emphasizes the fundamental principles of spectroscopy with the primary goal of teaching the interpretation of spectra. Features include a presentation of group theory needed to understand spectroscopy, detailed worked examples and a large number of excellent problems at the end of each chapter. Prof. Bernath provides a large number of diagrams and spectra which have been specifically recorded for this book. Molecular symmetry, matrix representation of groups, quantum mechanics, and group theory are among the topics covered; atomic, rotational, vibrational, electronic and Raman spectra are analyzed. Bernath's clear treatment of the confusing topic of line strengths as needed for quantitative applications is featured. This much-needed new edition has been updated to include the 2010 CODATA revision of physical constants, and a large number of corrections and clarifications. Responding to student requests, the main new feature is the addition of detailed worked examples in each chapter. Spectra of Atoms and Molecules, 3e will help demystify spectroscopy by showing readers the necessary steps in a derivation, as well as the final result.

Group Theory and Chemistry

Author: David M. Bishop

Publisher: Courier Corporation

ISBN: 0486132323

Category: Science

Page: 336

View: 1282

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 and Structure

Readable Group Theory for Chemists

Author: Sidney F. A. Kettle

Publisher: John Wiley & Sons

ISBN: 9780470516188

Category: Science

Page: 436

View: 1987

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.

Microwave Spectroscopy

Author: C. H. Townes,A.L. Schawlow

Publisher: Courier Corporation

ISBN: 0486162311

Category: Science

Page: 720

View: 1758

Two Nobel Laureates present a systematic, comprehensive account of the theory, techniques, experimental data, and interpretation involved in the study of microwave spectroscopy. Ideal as reference or text. 1955 edition.

Frontiers of Molecular Spectroscopy

Author: Jaan Laane

Publisher: Elsevier

ISBN: 9780080932378

Category: Science

Page: 740

View: 9454

Much of what we know about atoms, molecules, and the nature of matter has been obtained using spectroscopy over the last one hundred years or so. In this book we have collected together twenty chapters by eminent scientists from around the world to describe their work at the cutting edge of molecular spectroscopy. These chapters describe new methodology and applications, instrumental developments, and theory which is taking spectroscopy into new frontiers. The range of topics is broad. Lasers are utilized in much of the research, but their applications range from sub-femtosecond spectroscopy to the study of viruses and also to the investigation of art and archeological artifacts. Three chapters discuss work on biological systems and three others represent laser physics. The recent advances in cavity ringdown spectroscopy (CRDS), surface enhanced Raman spectroscopy (SERS), two-dimensional correlation spectroscopy (2D-COS), and microwave techniques are all covered. Chapters on electronic excited states, molecular dynamics, symmetry applications, and neutron scattering are also included and demonstrate the wide utility of spectroscopic techniques. * provides comprehensive coverage of present spectroscopic investigations * features 20 chapters written by leading researchers in the field * covers the important role of molecular spectroscopy in research concerned with chemistry, physics, and biology

Molecular Symmetry and Group Theory

A Programmed Introduction to Chemical Applications

Author: Alan Vincent

Publisher: John Wiley & Sons

ISBN: 1118723384

Category: Science

Page: 224

View: 676

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.

Introduction to Infrared and Raman Spectroscopy

Author: Norman Colthup

Publisher: Elsevier

ISBN: 032316160X

Category: Science

Page: 536

View: 2080

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.


An Introduction to Group Theory and Its Applications

Author: R. McWeeny

Publisher: Elsevier

ISBN: 1483226247

Category: Mathematics

Page: 262

View: 3774

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.