**Author**: Boris S. Tsukerblat

**Publisher:**Courier Corporation

**ISBN:**048645035X

**Category :**Science

**Languages :**en

**Pages :**448

**Book Description**

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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.

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.

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

In modern times, group-theoretical principles have been exploited in the study of atomic and molecular systems, electronic and vibrational spectra of all kinds, a wide variety of thermodynamic systems, chemical reactions, the enumeration of a host of differing chemical species, and the chemical combinatorial problems of many kinds. Chapter 1 of this volume sets out by addressing the meaning of the term 'group representation.' It explores the various theoretical frameworks that have evolved for the application of group theory in the physical sciences. Specific applications of combinatorial techniques, derived from or built around the Enumeration Theorem of Polya in the study of spectroscopy is the theme adopted in chapter 2. In chapter 3 the spotlight falls on methods that may be used to obtain the eigenvalue spectra of a wide variety of chemically significant molecular graphs, while the problem of treatment of molecular species that do not have a rigid molecular skeleton is addressed in chap

The Book Covers The Essential Basics Of The Group Theory That Are Required For All Sections Of Chemistry And Emphasizes The Necessity Of This Theory To Understand The Theoretical And Applied Aspects Of Molecular Spectroscopy. The Material In This Book Is Presented For A First And Final Year Postgraduate Level Students Of Indian Universities And The Subject Matter Covered In This Book Forms An Essential Part Of One Or Two Papers. This Text Is The Result Of A Long Felt Need For Developing Certain Novel Techniques For The Teaching Of This Course. No More Nightmares Of Group Theory And Spectroscopy! - Is The Ultimate Purpose Of This Book. A Window-Vision Has Been Provided In The Book While Presenting Most Of The Chapters And At Times A Pedagogical Approach Has Been Employed.Chapter 1 Is Presented As A Survey Into The World Of Symmetry Embodied In Nature And Man-Made Environment. Chapters 2 And 3 Journey Through The Basic Concepts Of Symmetry. A Chronology Of Concept-Learning Is Introduced In These Otherwise Highly Descriptive And Heavily Illustrative Chapters. A Number Of Exercises On Molecular Point Groups Is Presented In Chapter 3 With A Range Of Examples Drafted From Both Organic And Inorganic Molecules. The Structure And Symmetry Of Fullerene Molecules Are Presented In Some Detail For The First Time As A Class Room Example. The Background Provided For Non-Mathematical Chemistry Students In Chapters 4 And 5 Is Very Useful For The Advanced Aspects Of Group Theory. An Elaborate Treatment Given On Character Tables In Chapter 6 Serves As Thegate-Way For Many Applied Aspects Of Group Theory. Chapter 7 Contains Exclusive Details Onnormal Mode Analysis.The Information Presented In These Seven Chapters Will Be Vital To The Learning And Application Of All The Branches Of Spectroscopy. Chapter 8 Presents A Combined Treatment On Infrared And Raman Spectroscopies With Emphasis On Selection Rules And Application Of These Techniques To The Determination Of Molecular Structure Through The Use Of Group Theory. Group Theoretical Treatment Has Been Given While Discussing The Structure And Bonding Of Metal Complexes Presented In Chapters 9 And 11. The Formalisms Of Atomic Spectroscopy Are Presented In Chapter 10. Chapter 12 Deals With The Electronic Spectroscopy Of Metal Complexes That Enjoys The Fruits Of Group Theoretical Formulations.

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.

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

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.

This new edition of Robert G. Mortimer's Physical Chemistry has been thoroughly revised for use in a full year course in modern physical chemistry. In this edition, Mortimer has included recent developments in the theories of chemical reaction kinetics and molecular quantum mechanics, as well as in the experimental study of extremely rapid chemical reactions. While Mortimer has made substantial improvements in the selection and updating of topics, he has retained the clarity of presentation, the integration of description and theory, and the level of rigor that made the first edition so successful. * Emphasizes clarity; every aspect of the first edition has been examined and revised as needed to make the principles and applications of physical chemistry as clear as possible. * Proceeds from fundamental principles or postulates and shows how the consequences of these principles and postulates apply to the chemical and physical phenomena being studied. * Encourages the student not only to know the applications in physical chemistry but to understand where they come from. * Treats all topics relevant to undergraduate physical chemistry.