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Author: Joseph Rosen
Publisher: Springer Science & Business Media
ISBN: 3540759735
Category : Science
Languages : en
Pages : 312
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Book Description
When we use science to describe and understand the world around us, we are in essence grasping nature through symmetry. Emphasizing the concepts, this book leads the reader coherently and comprehensively into the fertile field of symmetry and its applications. Among the most important applications considered are the fundamental forces of nature and the Universe. Written by a renowned expert, this book will convince all interested readers of the importance of symmetry in science.
Author: Joseph Rosen
Publisher: Springer Science & Business Media
ISBN: 3540759735
Category : Science
Languages : en
Pages : 312
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Book Description
When we use science to describe and understand the world around us, we are in essence grasping nature through symmetry. Emphasizing the concepts, this book leads the reader coherently and comprehensively into the fertile field of symmetry and its applications. Among the most important applications considered are the fundamental forces of nature and the Universe. Written by a renowned expert, this book will convince all interested readers of the importance of symmetry in science.
Author: István Hargittai
Publisher: Elsevier
ISBN: 1483149528
Category : Science
Languages : en
Pages : 1068
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Book Description
International Series in Modern Applied Mathematics and Computer Science, Volume 10: Symmetry: Unifying Human Understanding provides a tremendous scope of “symmetry , covering subjects from fractals through court dances to crystallography and literature. This book discusses the limits of perfection, symmetry as an aesthetic factor, extension of the Neumann-Minnigerode-Curie principle, and symmetry of point imperfections in solids. The symmetry rules for chemical reactions, matching and symmetry of graphs, mosaic patterns of H. J. Woods, and bilateral symmetry in insects are also elaborated. This text likewise covers the crystallographic patterns, Milton's mathematical symbol of theodicy, symmetries of soap films, and gapon formalism. This volume is a good source for researchers and specialists concerned with symmetry.
Author: Bodie E. Douglas
Publisher: Academic Press
ISBN: 0323139310
Category : Science
Languages : en
Pages : 469
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Book 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: P.R. Bunker
Publisher: CRC Press
ISBN: 0429837003
Category : Science
Languages : en
Pages : 358
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Book 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: Istvan Hargittai
Publisher: Springer Science & Business Media
ISBN: 0585312346
Category : Science
Languages : en
Pages : 475
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Book Description
We have been gratified by the warm reception of our book, by reviewers, colleagues, and students alike. Our interest in the subject matter of this book has not decreased since its first appearance; on the contrary. The first and second editions envelop eight other symmetry-related books in the creation of which we have participated: I. Hargittai (ed.), Symmetry: Unifying Human Understanding, Pergamon Press, New York, 1986. I. Hargittai and B. K. Vainshtein (eds.), Crystal Symmetries. Shubnikov Centennial Papers, Pergamon Press, Oxford, 1988. M. Hargittai and I. Hargittai, Fedezziikf6l a szimmetri6t! (Discover Sym- try, in Hungarian), Tank6nyvkiad6, Budapest, 1989. I. Hargittai (ed.), Symmetry 2: Unifying Human Understanding, Pergamon Press, Oxford, 1989. I. Hargittai (ed.), Quasicrystals, Networks, and Molecules of Fivefold Sym- try, VCH, New York, 1990. I. Hargittai (ed.), Fivefold Symmetry, World Scientific, Singapore, 1992. I. Hargittai and C. A. Pickover (eds.), Spiral Symmetry, World Scientific, Singapore, 1992. I. Hargittai and M. Hargittai, Symmetry: A Unifying Concept, Shelter Publi- tions, Bolinas, California, 1994. We have also pursued our molecular structure research, and some books have appeared related to these activities: vi Preface to the Second Edition I. Hargittai and M. Hargittai (eds.), Stereochemical Applications of Gas-Phase Electron Diffraction, Parts A and B, VCH, New York, 1988. R. Gillespie and I. Hargittai, VSEPR Model of Molecular Geometry, Allyn and Bacon, Boston, 1991. A. Domenicano and I. Hargittai (eds.), Accurate Molecular Structures, Oxford University Press, Oxford, 1992.
Author: M.A. Wahab
Publisher: Springer Nature
ISBN: 9811928029
Category : Science
Languages : en
Pages : 300
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Book Description
This book presents a comprehensive theoretical basis of symmetry representations of molecular vibrations, matrix representation of symmetries, and the elements of group theory that are relevant to other symmetry elements/operations, crystallographic and molecular point groups. The book helps understand the reducible and irreducible representations of symmetry matrices and then derive the normal modes of vibration of different molecules by using suitable techniques independently. Targeted to graduate students and researchers, this book aims not only to derive the normal modes of vibration of any given molecule themselves but also compares and verifies them with the experimentally found modes by using IR and Raman-related techniques. For the first time in the crystallographic history, this book presents the group multiplication tables of all 32 point groups in both international and Schoenflies notations.
Author: John W. Moore
Publisher: John Wiley & Sons
ISBN: 9780471035589
Category : Science
Languages : en
Pages : 486
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Book Description
The third edition of a classic text originally by Frost and Pearson, that describes the fundamental principles and established practices that apply to the study and the rates and mechanisms of homogeneous chemical reactions in the gas phase and in solution. Incorporates new advances made during the past 20 years in the study of individual molecular collisions by molecular-beam, laser applications to experimental kinetics, theoretical treatments of reaction rates and our understanding of the principles that govern rates of reaction in solution. Presents numerous examples of the deduction of mechanism from experiment, including intimate details such as stereochemistry and the dependence of reaction pathway on the exact energy states of reacting particles.
Author: Pieter E. Schipper
Publisher: World Scientific
ISBN: 9789810215422
Category : Science
Languages : en
Pages : 292
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Book Description
This well-illustrated book develops, using only the ideas of basic quantum chemistry (e.g. perturbation and symmetry theory), a fundamental conceptual and theoretical framework for chemical reactivity. By feeding the role of symmetry and chemical group topology directly into the development, the analysis generates and explains the successful features of simpler reactivity theories (e.g. frontier orbital theory, the isolobal concept, PMO theory, the Woodward-Hoffmann rules), as well as defines their limitations. The unifying construct is that of a group-resolved correlation diagram, which is shown to represent the formal quantization of the electron arrow, replacing the concept of classical point electrons moving between groups with the concept of quantum electron matter waves which evolve with the evolving nuclear and chemical group structure. The use of the concept of chemical groups (functional group system, substituents, solvents) is central to the development, localising the evolutionary electrons within the functional groups and leading to an isolation and analytic definition of substituent and solvent (catalytic) effects as explicit functions of the reaction coordinate. Each archetypical reaction family is represented by fully-worked examples: viz. aliphatic nucleophilic substitution, aromatic electrophilic substitution, inorganic rearrangements, electrocyclic additions, Diels-Alder additions and addition stages in chiral reactions.
Author: Tse-Lok Ho
Publisher: John Wiley & Sons
ISBN: 9780471573760
Category : Science
Languages : en
Pages : 592
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Book Description
This book highlights the symmetrical characteristics of organic molecules. It demonstrates how to use principles of symmetry to synthesize and prepare both symmetrical and asymmetrical molecules.
Author: I. G. Kaplan
Publisher: Academic Press
ISBN: 1483191737
Category : Science
Languages : en
Pages : 385
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Book Description
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.
