Role Of Symmetry, Groups And Matrices In Chemistry
Role Of Symmetry, Groups And Matrices In Chemistry

Author: R.S. Thakur

Publisher: Atlantic Publishers & Dist

Published: 2007

Total Pages: 508

ISBN-13: 9788126907809

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A New Area Is Emerging In Chemistry For Debate And Discussion On Molecular Structure And Bonding Of Molecules Of Different Types In Which The Role Of Symmetry Is Most Vital. The Two Elegant Parts Of Mathematics Group And Matrix Have Drawn Special Attention On The Key Subject Of Symmetry. Three Mathematical Branches Symmetry, Groups And Matrices Have Been Selected To Develop A New Text On Chemistry That Has Witnessed Growth Up To Buck Minister Fullerenes, Carbon-60 With Ih Point Group.The First Part Of Series On Chemical Mathematics Is Based On The Model Proposed By Prof. H.M. Chawla, An Iitian From Delhi. It Is A Well-Distinguished Approach To An Important Ingredient Of Physical Science Apart From Physics. Efforts Have Been Made To Formulate A Complete Course Structure On Group Theory And Chemistry.The Second Part Of The Series On Chemical Mathematics Has Laid The Foundation Of Quantum Chemistry (Quantum Mechanics In The Domain Of Molecular World). This Series Exhibits A Continuum On Bringing The Relevant Books For Honours And Postgraduate Level In The Universities Of The Indian Subcontinent As Well As Some Other Countries. A Fundamental Approach Supplying A Good Deal Of Vocabulary Prepared By The Mathematical Foundation Has Been Provided For The Benefit Of Students Of Molecular Chemistry.

Symmetry and Group theory in Chemistry
Symmetry and Group theory in Chemistry

Author: M Ladd

Publisher: Elsevier

Published: 1998-09-01

Total Pages: 424

ISBN-13: 0857099779

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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

Atomic & Molecular Symmetry Groups and Chemistry
Atomic & Molecular Symmetry Groups and Chemistry

Author: S.C. Rakshit

Publisher: CRC Press

Published: 2021-08-19

Total Pages: 424

ISBN-13: 1000441326

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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.

Chemical Applications of Symmetry and Group Theory
Chemical Applications of Symmetry and Group Theory

Author: Rakshit Ameta

Publisher: CRC Press

Published: 2016-11-03

Total Pages: 392

ISBN-13: 1771883995

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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.

Symmetry
Symmetry

Author: R. McWeeny

Publisher: Elsevier

Published: 2013-09-03

Total Pages: 263

ISBN-13: 1483226247

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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.

Symmetry in Bonding and Spectra
Symmetry in Bonding and Spectra

Author: Bodie E. Douglas

Publisher: Academic Press

Published: 2012-12-02

Total Pages: 469

ISBN-13: 0323139310

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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.

Molecular Symmetry and Group Theory
Molecular Symmetry and Group Theory

Author: Alan Vincent

Publisher: John Wiley & Sons

Published: 2013-06-05

Total Pages: 224

ISBN-13: 1118723384

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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.

Symmetry of Many-Electron Systems
Symmetry of Many-Electron Systems

Author: I. G. Kaplan

Publisher: Academic Press

Published: 2013-10-22

Total Pages: 385

ISBN-13: 1483191737

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Symmetry of Many-Electron Systems discusses the group-theoretical methods applied to physical and chemical problems. Group theory allows an individual to analyze qualitatively the elements of a certain system in scope. The text evaluates the characteristics of the Schrodinger equations. It is proved that some groups of continuous transformation from the Lie groups are useful in identifying conditions and in developing wavefunctions. A section of the book is devoted to the utilization of group-theoretical methods in quantal calculations on many-electron systems. The focus is on the use of group-theoretical methods to the classification and calculation of states of molecule. A chapter of the book gives a comprehensive discussion of the fractional parentage method. This application is used in atomic and nuclear spectroscopy. The method of employing coordinate wave functions is explained. The standard Young-Yamanouchi orthogonal representation is presented completely. The book will provide useful guides for physicists, chemists, engineers, students, and researchers in the field of physics.

Group Theory Applied to Chemistry
Group Theory Applied to Chemistry

Author: Arnout Jozef Ceulemans

Publisher: Springer Science & Business Media

Published: 2013-09-03

Total Pages: 276

ISBN-13: 940076863X

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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.