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Author: R.S. Thakur Publisher: Atlantic Publishers & Dist ISBN: 9788126907809 Category : Chemistry Languages : en Pages : 508
Book Description
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.
Author: R.S. Thakur Publisher: Atlantic Publishers & Dist ISBN: 9788126907809 Category : Chemistry Languages : en Pages : 508
Book Description
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.
Author: Rakshit Ameta Publisher: CRC Press ISBN: 1315341948 Category : Science Languages : en Pages : 370
Book Description
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: David M. Bishop Publisher: Courier Corporation ISBN: 0486132323 Category : Science Languages : en Pages : 322
Book Description
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: M Ladd Publisher: Elsevier ISBN: 0857099779 Category : Mathematics Languages : en Pages : 424
Book Description
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: Takashiro Akitsu Publisher: BoD – Books on Demand ISBN: 1789233143 Category : Science Languages : en Pages : 188
Book Description
The aim of this book Symmetry (Group Theory) and Mathematical Treatment in Chemistry is to be a graduate school-level text about introducing recent research examples associated with symmetry (group theory) and mathematical treatment in inorganic or organic chemistry, physical chemistry or chemical physics, and theoretical chemistry. Chapters contained can be classified into mini-review, tutorial review, or original research chapters of mathematical treatment in chemistry with brief explanation of related mathematical theories. Keywords are symmetry, group theory, crystallography, solid state, topology, molecular structure, electronic state, quantum chemistry, theoretical chemistry, and DFT calculations.
Author: R. McWeeny Publisher: Elsevier ISBN: 1483226247 Category : Mathematics Languages : en Pages : 263
Book Description
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.
Author: R. Pauncz Publisher: CRC Press ISBN: 1351094122 Category : Science Languages : en Pages : 260
Book Description
This is the first book to provide comprehensive treatment of the use of the symmetric group in quantum chemical structures of atoms, molecules, and solids. It begins with the conventional Slater determinant approach and proceeds to the basics of the symmetric group and the construction of spin eigenfunctions. The heart of the book is in the chapter dealing with spin-free quantum chemistry showing the great interpretation value of this method. The last three chapters include the unitary group approach, the symmetric group approach, and the spin-coupled valence bond method. An extensive bibliography concludes the book.
Author: Pieter Thyssen Publisher: Oxford University Press ISBN: 0190611391 Category : Mathematics Languages : en Pages : 529
Book Description
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: S.C. Rakshit Publisher: CRC Press ISBN: 1000441377 Category : Science Languages : en Pages : 371
Book Description
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.
Author: R.S. Thakur
Author: R.S. Thakur
Author: Rakshit Ameta
Author: David M. Bishop
Author: M Ladd
Author: Takashiro Akitsu
Author: R. McWeeny
Author: R. Pauncz
Author: Pieter Thyssen
Author: Lowell H. Hall
Author: S.C. Rakshit