Introductory Group Theory And Its Application To Molecular Structure

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Introductory Group Theory And Its Application To Molecular Structure
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Author : John Ferraro
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Introductory Group Theory And Its Application To Molecular Structure written by John Ferraro and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The success of the first edition of this book has encouraged us to revise and update it. In the second edition we have attempted to further clarify por tions of the text in reference to point symmetry, keeping certain sections and removing others. The ever-expanding interest in solids necessitates some discussion on space symmetry. In this edition we have expanded the discus sion on point symmetry to include space symmetry. The selection rules in clude space group selection rules (for k = 0). Numerous examples are pro vided to acquaint the reader with the procedure necessary to accomplish this. Recent examples from the literature are given to illustrate the use of group theory in the interpretation of molecular spectra and in the determination of molecular structure. The text is intended for scientists and students with only a limited theoretical background in spectroscopy. For this reason we have presented detailed procedures for carrying out the selection rules and normal coor dinate treatment of molecules. We have chosen to exclude discussion on symmetry aspects of molecular orbital theory and ligand field theory. It has been our approach to highlight vibrational data only, primarily to keep the size and cost of the book to a reasonable limit.
Introductory Group Theory
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Author : John R. Ferraro
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Introductory Group Theory written by John R. Ferraro and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This volume is a consequence of a series of seminars presented by the authors at the Infrared Spectroscopy Institute, Canisius College, Buffalo, New York, over the last nine years. Many participants on an intermediate level lacked a sufficient background in mathematics and quantum mechan ics, and it became evident that a non mathematical or nearly nonmathe matical approach would be necessary. The lectures were designed to fill this need and proved very successful. As a result of the interest that was developed in this approach, it was decided to write this book. The text is intended for scientists and students with only limited theore tical background in spectroscopy, but who are sincerely interested in the interpretation of molecular spectra. The book develops the detailed selection rules for fundamentals, combinations, and overtones for molecules in several point groups. Detailed procedures used in carrying out the normal coordinate treatment for several molecules are also presented. Numerous examples from the literature illustrate the use of group theory in the in terpretation of molecular spectra and in the determination of molecular structure.
Introductory Group Theory
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Author : John R. Ferraro
language : en
Publisher: Springer
Release Date : 2013-11-09
Introductory Group Theory written by John R. Ferraro and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-09 with Mathematics categories.
This volume is a consequence of a series of seminars presented by the authors at the Infrared Spectroscopy Institute, Canisius College, Buffalo, New York, over the last nine years. Many participants on an intermediate level lacked a sufficient background in mathematics and quantum mechan ics, and it became evident that a non mathematical or nearly nonmathe matical approach would be necessary. The lectures were designed to fill this need and proved very successful. As a result of the interest that was developed in this approach, it was decided to write this book. The text is intended for scientists and students with only limited theore tical background in spectroscopy, but who are sincerely interested in the interpretation of molecular spectra. The book develops the detailed selection rules for fundamentals, combinations, and overtones for molecules in several point groups. Detailed procedures used in carrying out the normal coordinate treatment for several molecules are also presented. Numerous examples from the literature illustrate the use of group theory in the in terpretation of molecular spectra and in the determination of molecular structure.
Molecular Symmetry And Group Theory
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Author : R. C. Maurya
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-09-02
Molecular Symmetry And Group Theory written by R. C. Maurya and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-02 with Science categories.
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.
Chemical Applications Of Symmetry And Group Theory
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Author : Rakshit Ameta
language : en
Publisher: CRC Press
Release Date : 2016-11-03
Chemical Applications Of Symmetry And Group Theory written by Rakshit Ameta and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-03 with Science categories.
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.
Introduction To Symmetry And Group Theory For Chemists
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Author : Arthur M. Lesk
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-08
Introduction To Symmetry And Group Theory For Chemists written by Arthur M. Lesk and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-08 with Science categories.
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.
Introductory Group Theory And Its Application To Molecular Structure
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Author : John Ferraro
language : en
Publisher: Springer
Release Date : 2012-11-26
Introductory Group Theory And Its Application To Molecular Structure written by John Ferraro and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-26 with Mathematics categories.
The success of the first edition of this book has encouraged us to revise and update it. In the second edition we have attempted to further clarify por tions of the text in reference to point symmetry, keeping certain sections and removing others. The ever-expanding interest in solids necessitates some discussion on space symmetry. In this edition we have expanded the discus sion on point symmetry to include space symmetry. The selection rules in clude space group selection rules (for k = 0). Numerous examples are pro vided to acquaint the reader with the procedure necessary to accomplish this. Recent examples from the literature are given to illustrate the use of group theory in the interpretation of molecular spectra and in the determination of molecular structure. The text is intended for scientists and students with only a limited theoretical background in spectroscopy. For this reason we have presented detailed procedures for carrying out the selection rules and normal coor dinate treatment of molecules. We have chosen to exclude discussion on symmetry aspects of molecular orbital theory and ligand field theory. It has been our approach to highlight vibrational data only, primarily to keep the size and cost of the book to a reasonable limit.
Applications Of Group Theory To Atoms Molecules And Solids
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Author : Thomas Wolfram
language : en
Publisher: Cambridge University Press
Release Date : 2014-01-09
Applications Of Group Theory To Atoms Molecules And Solids written by Thomas Wolfram and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-09 with Mathematics categories.
An applications-oriented approach gives graduate students and researchers in the physical sciences the tools needed to analyze any physical system.
Symmetry
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Author : Roy McWeeny
language : en
Publisher: Courier Corporation
Release Date : 2012-05-23
Symmetry written by Roy McWeeny and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-23 with Science categories.
Well-organized volume develops ideas of group and representation theory in progressive fashion. Emphasis on finite groups describing symmetry of regular polyhedra and of repeating patterns, plus geometric illustrations.