Group Theory Of Chemical Elements

Author : Abram I. Fet
Publisher : Walter de Gruyter GmbH & Co KG
Page : 193 pages
File Size : 50,7 Mb
Release : 2016-09-12
Category : Science
ISBN : 9783110476231

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Group Theory of Chemical Elements by Abram I. Fet Pdf

In this monograph, group-theoretical approaches are used to build a system of hadrons and qualitatively describe the properties of chemical compounds. This serves as a complement to numerically and approximately solve the many-electron Schrödinger equation, in order to understand the behavior of chemical elements. Besides general theory, specific results are compared with experimentally measured chemical properties. Content: Symmetries of a quantum system Observables of a quantum system Lie groups and Lie algebras The principles of particle classification The symmetry group of chemical elements Classification and chemical properties of elements Appendix A. Fock’s energy spectrum of the hydrogen atom Appendix B. Representations of some groups

Author : Abram Ilʹič Fet
Publisher : Unknown
Page : 128 pages
File Size : 46,6 Mb
Release : 2016
Category : Electronic
ISBN : 311047624X

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Group Theory of Chemical Elements by Abram Ilʹič Fet Pdf

Author : Abram I. Fet
Publisher : Walter de Gruyter GmbH & Co KG
Page : 193 pages
File Size : 41,8 Mb
Release : 2016-09-12
Category : Science
ISBN : 9783110475203

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Group Theory of Chemical Elements by Abram I. Fet Pdf

In this monograph, group-theoretical approaches are used to build a system of hadrons and qualitatively describe the properties of chemical compounds. This serves as a complement to numerically and approximately solve the many-electron Schrödinger equation, in order to understand the behavior of chemical elements. Besides general theory, specific results are compared with experimentally measured chemical properties.

Author : David M. Bishop
Publisher : Courier Corporation
Page : 322 pages
File Size : 52,7 Mb
Release : 2012-07-12
Category : Science
ISBN : 9780486132327

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Group Theory and Chemistry by David M. Bishop Pdf

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.

Author : Pieter Thyssen,Arnout Ceulemans
Publisher : Oxford University Press
Page : 529 pages
File Size : 44,9 Mb
Release : 2017
Category : Mathematics
ISBN : 9780190611392

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Shattered Symmetry by Pieter Thyssen,Arnout Ceulemans Pdf

Symmetry is at the heart of our understanding of matter. This book tells the fascinating story of the constituents of matter from a common symmetry perspective. The standard model of elementary particles and the periodic table of chemical elements have the common goal to bring order in the bewildering chaos of the constituents of matter. Their success relies on the presence of fundamental symmetries in their core. The purpose of Shattered Symmetry is to share the admiration for the power and the beauty of these symmetries. The reader is taken on a journey from the basic geometric symmetry group of a circle to the sublime dynamic symmetries that govern the motions of the particles. Along the way the theory of symmetry groups is gradually introduced with special emphasis on its use as a classification tool and its graphical representations. This is applied to the unitary symmetry of the eightfold way of quarks, and to the four-dimensional symmetry of the hydrogen atom. The final challenge is to open up the structure of Mendeleev's table which goes beyond the symmetry of the hydrogen atom. Breaking this symmetry to accommodate the multi-electron atoms requires us to leave the common ground of linear algebras and explore the potential of non-linearity.

Author : Boris S. Tsukerblat
Publisher : Courier Corporation
Page : 465 pages
File Size : 40,6 Mb
Release : 2006-08-18
Category : Science
ISBN : 9780486450353

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Group Theory in Chemistry and Spectroscopy by Boris S. Tsukerblat Pdf

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.

Author : George H. Duffey
Publisher : Courier Corporation
Page : 387 pages
File Size : 55,9 Mb
Release : 2015-02-18
Category : Science
ISBN : 9780486783147

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Applied Group Theory by George H. Duffey Pdf

This text introduces advanced undergraduates and graduate students to key applications of group theory. Topics include the nature of symmetry operations; applications to vibrating systems, continuum mechanics, and quantum structures; permutation, continuous, and rotation groups; and physical Lie algebras. Each chapter concludes with a concise review, discussion questions, problems, and references. 1992 edition.

Author : Frank Albert Cotton
Publisher : John Wiley & Sons
Page : 410 pages
File Size : 47,9 Mb
Release : 1971
Category : Mathematics
ISBN : UOM:39015016106497

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Chemical Applications of Group Theory by Frank Albert Cotton Pdf

Retains the easy-to-read format and informal flavor of the previous editions, and includes new material on the symmetric properties of extended arrays (crystals), projection operators, LCAO molecular orbitals, and electron counting rules. Also contains many new exercises and illustrations.

Author : M Ladd
Publisher : Elsevier
Page : 424 pages
File Size : 50,9 Mb
Release : 1998-09-01
Category : Mathematics
ISBN : 9780857099778

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Symmetry and Group theory in Chemistry by M Ladd Pdf

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

Author : George Davidson
Publisher : Unknown
Page : 236 pages
File Size : 54,6 Mb
Release : 1991
Category : Mathematics
ISBN : STANFORD:36105017535977

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Group Theory for Chemists by George Davidson Pdf

The number of areas of chemistry in which the application of simple group theoretical ideas is important for undergraduate and postgraduate students has increased over recent years. This book aims to cover the essential group theory with emphasis on the application of theory.

Author : F. Albert Cotton
Publisher : John Wiley & Sons
Page : 498 pages
File Size : 53,5 Mb
Release : 1991-01-16
Category : Science
ISBN : 9780471510949

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Chemical Applications of Group Theory by F. Albert Cotton Pdf

Retains the easy-to-read format and informal flavor of the previous editions, and includes new material on the symmetric properties of extended arrays (crystals), projection operators, LCAO molecular orbitals, and electron counting rules. Also contains many new exercises and illustrations.

Author : Arnout Jozef Ceulemans
Publisher : Springer Nature
Page : 352 pages
File Size : 49,7 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 9789402422450

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Group Theory Applied to Chemistry by Arnout Jozef Ceulemans Pdf

Author : KUNJU, A. SALAHUDDIN,KRISHNAN, G.
Publisher : PHI Learning Pvt. Ltd.
Page : 296 pages
File Size : 48,5 Mb
Release : 2015-08-31
Category : Science
ISBN : 9788120351349

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GROUP THEORY AND ITS APPLICATIONS IN CHEMISTRY, SECOND EDITION by KUNJU, A. SALAHUDDIN,KRISHNAN, G. Pdf

This book, divided into two parts, now in its second edition, presents the basic principles of group theory and their applications in chemical theories. While retaining the thorough coverage of the previous edition, the book in Part I, discusses the symmetry elements, point groups and construction of character tables for different point groups. In Part II, it describes the concept of hybridization to explain the shapes of molecules and analyzes the character tables to predict infrared and Raman active vibrational modes of molecules. It also brings into fore the molecular orbital theory and the techniques of group theory to interpret bonding in transition metal complexes and their electronic spectra. Finally, the book describes the crystal symmetry in detail as well as the Woodward–Hoffmann rules to determine the pathways of electrocyclic and cycloaddition reactions. NEW TO THE SECOND EDITION • New sections on Direct Product, Group–sub-group Relationships, Effect of Descent in Octahedral Symmetry on Degeneracy, Jahn–Teller Distortion, Group–sub-group Relationships and Electronic Spectra of Complexes and Influence of Coordination on the Infrared Spectra of Oxoanionic Ligands, Space Groups • Revised sections on Projection Operator, SALC Molecular Orbitals of Benzene and π-Molecular Orbitals of 1, 3-Butadiene KEY FEATURES • Provides mathematical foundations to understand group theory. • Includes several examples to illustrate applications of group theory. • Presents chapter-end exercises to help the students check their understanding of the subject matter. The book is designed for the senior undergraduate students and postgraduate students of Chemistry. It will also be of immense use to the researchers in the fields where group theory is applied.

Author : Rakshit Ameta,Suresh C. Ameta
Publisher : CRC Press
Page : 392 pages
File Size : 52,6 Mb
Release : 2016-11-03
Category : Science
ISBN : 9781771883993

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Chemical Applications of Symmetry and Group Theory by Rakshit Ameta,Suresh C. Ameta Pdf

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.

Author : Sidney F. A. Kettle
Publisher : John Wiley & Sons
Page : 436 pages
File Size : 45,6 Mb
Release : 1995-06-15
Category : Mathematics
ISBN : 0471954764

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Symmetry and Structure by Sidney F. A. Kettle Pdf

This revised and updated edition emphasizes the physical concepts and applications of group theory rather than complex mathematics. User-friendly, it offers a simple approach to space groups, answering many frequently asked questions in detail. Features a new chapter on solid state, scores of diagrams and problems and more questions and answers. Mathematical proofs are included in the appendices.