Download or read book Group Theoretical Methods and Applications to Molecules and Crystals written by Shoon K. Kim and published by Cambridge University Press. This book was released on 1999-06-24 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the pioneering author in the field, this book is ideal for condensed matter physicists and physical chemists.

Download or read book Crystal Properties via Group Theory written by Arthur S. Nowick and published by Cambridge University Press. This book was released on 1995-12-14 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the effect of crystal symmetry in determining the tensor properties of crystals. Although this is a well-established subject, the author provides a new approach using group theory and, in particular, the method of symmetry coordinates, which has not been used in any previous book. The author presents applications to technologically important phenomena as diverse as the electro-optic, piezoelectric, photoelastic, piezomagnetic, and piezoresistance effects, as well as magnetothermoelectric power and third-order elastic constants. He also gives attention to "special magnetic properties", i.e., those that require the concepts of time reversal and magnetic symmetry--an important subject not always covered in other books in this area. This book will be of interest to researchers in solid state physics and materials science, and will also be suitable as a text for graduate students in physics and engineering taking courses in solid state physics.

Download or read book Space Group Representations written by Nikolai B. Melnikov and published by Springer Nature. This book was released on 2023-01-01 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the construction of space group representations, their tabulation, and illustration of their use. Representation theory of space groups has a wide range of applications in modern physics and chemistry, including studies of electron and phonon spectra, structural and magnetic phase transitions, spectroscopy, neutron scattering, and superconductivity. The book presents a clear and practical method of deducing the matrices of all irreducible representations, including double-valued, and tabulates the matrices of irreducible projective representations for all 32 crystallographic point groups. One obtains the irreducible representations of all 230 space groups by multiplying the matrices presented in these compact and convenient to use tables by easily computed factors. A number of applications to the electronic band structure calculations are illustrated through real-life examples of different crystal structures. The book's content is accessible to both graduate and advanced undergraduate students with elementary knowledge of group theory and is useful to a wide range of experimentalists and theorists in materials and solid-state physics.

Download or read book Symmetry Group Theory and the Physical Properties of Crystals written by Richard C. Powell and published by . This book was released on 2011-03-30 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book GROUP THEORY AND ITS APPLICATIONS IN CHEMISTRY SECOND EDITION written by KUNJU, A. SALAHUDDIN and published by PHI Learning Pvt. Ltd.. This book was released on 2015-08-31 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Chemical Applications of Symmetry and Group Theory written by Rakshit Ameta and published by CRC Press. This book was released on 2016-11-03 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Group Theory with Applications in Chemical Physics written by Patrick Jacobs and published by Cambridge University Press. This book was released on 2005-10-20 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Group Theory is an indispensable mathematical tool in many branches of chemistry and physics. This book provides a self-contained and rigorous account on the fundamentals and applications of the subject to chemical physics, assuming no prior knowledge of group theory. The first half of the book focuses on elementary topics, such as molecular and crystal symmetry, whilst the latter half is more advanced in nature. Discussions on more complex material such as space groups, projective representations, magnetic crystals and spinor bases, often omitted from introductory texts, are expertly dealt with. With the inclusion of numerous exercises and worked examples, this book will appeal to advanced undergraduates and beginning graduate students studying physical sciences and is an ideal text for use on a two-semester course.

Download or read book Symmetry And Group Theory For Chemists written by N. N. Dass and published by . This book was released on 2004-01-01 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Students Of Chemistry Have Access A Variety Of Excellent Books Dealing With The Applications Of The Techniques Of Group Theory For Solving Chemical Problems. Most Of The Books Are Too Advance For Beginners. It Is Hoped That This Book Will Help Them For Having A Firm Grip Of The Subject Matter. The Book Contains Not Only The Symmetry Of The Molecules But Also That Of Crystals. The Idea Of Space Group Is Introduced Along With The Idea Of The Point Group For Crystals Is Often Neglected In Introductory Textbooks. Simple Mnemonic Device Is Also Introduced For Understanding The Molecular Orbital Energy Levels For Certain Cyclic And Acyclic Systems. Hopefully, I Believe That After Grasping The Ideas Presented Here, The Learners Will Be In Better Position To Appriciate The Ideas Presented In The More Advance And Comprehensive Textbooks Listed In The Bibilography Which Is By No Means Exhaustive. Content Highlights : - Preface # Symmetry # Symmetry And Mathematical Tools # Reducible And Irreducible Representation # Symmetry And Vibronic Spectroscopy # Symmetry And Bond Theory # Symmetry And Molecular Orbital Energies # Symmetry And Crystallographic Groups # Bibiliography # Appendix # Index

Download or read book Problems in Structural Inorganic Chemistry written by Wai-Kee Li and published by Oxford University Press. This book was released on 2018-11-30 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of over 422 problems and their acceptable answers on structural inorganic chemistry at the senior undergraduate and beginning graduate level. The central theme running through these questions is symmetry, bonding and structure: molecular or crystalline. A wide variety of topics are covered, including Electronic States and Configurations of Atoms and Molecules, Introductory Quantum Chemistry, Atomic Orbitals, Hybrid Orbitals, Molecular Symmetry, Molecular Geometry and Bonding, Crystal Field Theory, Molecular Orbital Theory, Vibrational Spectroscopy, Crystal Structure, Transition Metal Chemistry, Metal Clusters: Bonding and Reactivity, and Bioinorganic Chemistry. The questions collected here originate from the examination papers and take-home assignments arising from the teaching of courses in Chemical Bonding, Elementary Quantum Chemistry, Advanced Inorganic Chemistry, and X-Ray Crystallography by the book's two senior authors over the past five decades. The questions have been tested by generations of students taking these courses. The questions in this volume cover essentially all the topics in a typical course in structural inorganic chemistry. The text may be used as a supplement for a variety of inorganic chemistry courses at the senior undergraduate level. It also serves as a problem text to accompany the book Advanced Structural Inorganic Chemistry, co-authored by W.-K. Li, G.-D. Zhou, and T. C. W. Mak (Oxford University Press, 2008).

Download or read book Point Groups Space Groups Crystals Molecules written by R. Mirman and published by World Scientific. This book was released on 1999 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is by far the most comprehensive treatment of point and space groups, and their meaning and applications. Its completeness makes it especially useful as a text, since it gives the instructor the flexibility to best fit the class and goals. The instructor, not the author, decides what is in the course. And it is the prime book for reference, as material is much more likely to be found in it than in any other book; it also provides detailed guides to other sources.Much of what is taught is folklore, things everyone knows are true, but (almost?) no one knows why, or has seen proofs, justifications, rationales or explanations. (Why are there 14 Bravais lattices, and why these? Are the reasons geometrical, conventional or both? What determines the Wigner-Seitz cells? How do they affect the number of Bravais lattices? Why are symmetry groups relevant to molecules whose vibrations make them unsymmetrical? And so on). Here these analyses are given, interrelated, and in-depth. The understanding so obtained gives a strong foundation for application and extension. Assumptions and restrictions are not merely made explicit, but also emphasized.In order to provide so much information, details and examples, and ways of helping readers learn and understand, the book contains many topics found nowhere else, or only in obscure articles from the distant past. The treatment is (often completely) different from those elsewhere. At least in the explanations, and usually in many other ways, the book is completely new and fresh. It is designed to inform, educate and make the reader think. It strongly emphasizes understanding.The book can be used at many levels, by many different classes of readers ? from those who merely want brief explanations (perhaps just of terminology), who just want to skim, to those who wish the most thorough understanding.

Download or read book Chemical Applications of Group Theory written by F. Albert Cotton and published by John Wiley & Sons. This book was released on 1991-01-16 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Structural Chemistry across the Periodic Table written by Thomas CW Mak and published by Oxford University Press. This book was released on 2023-10-12 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an expanded and updated version of Part III of the authors' previous work, Advanced Structural Inorganic Chemistry (OUP 2008). The original part deals with main-group elements, the rare-earth elements, transition-metal clusters, and supramolecular systems. In this new book, selected material from significant advances in the past decade has been added, with particular emphasis on compounds that exemplify new types of bonds such as sigma-hole, triel bond, tetrel bond, pnictogen bond, chalcogen bond, halogen bond, halogen-halogen interaction, aerogen bond, as well as quintuple and sextuple metal-metal bonds. Other new topics include actinide compounds, metallophilicity, heterometallic macrocycles and cages, com- and dis-proportionation reactions, hydrogen-bonded organic frameworks (HOFs), halogen-bonded organic frameworks, halogen-halogen interactions in supramolecular frameworks, covalent organic frameworks (COFs), and metal-organic frameworks (MOFs).

Download or read book Introduction to Group Theory with Applications written by Gerald Burns and published by Academic Press. This book was released on 2014-05-10 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Group Theory with Applications covers the basic principles, concepts, mathematical proofs, and applications of group theory. This book is divided into 13 chapters and begins with discussions of the elementary topics related to the subject, including symmetry operations and group concepts. The succeeding chapters deal with the properties of matrix representations of finite groups, the vibrations of molecular and crystals, vibrational wave function, selection rules, and molecular approximations. These topics are followed by reviews of the basic of quantum mechanics, crystal field theory, atomic physics, hybrid functions, and molecular orbital theory. The last chapters describe the symmetry of crystal lattices, the band theory of solids, and the full rotation group. This book will be of value to undergraduate mathematics and physics students.

Download or read book Advanced Structural Inorganic Chemistry written by Wai-Kee Li and published by OUP Oxford. This book was released on 2008-03-27 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a revised and updated English edition of a textbook that has grown out of several years of teaching. The term "inorganic" is used in a broad sense as the book covers the structural chemistry of representative elements (including carbon) in the periodic table, organometallics, coordination polymers, host-guest systems and supramolecular assemblies. Part I of the book reviews the basic bonding theories, including a chapter on computational chemistry. Part II introduces point groups and space groups and their chemical applications. Part III comprises a succinct account of the structural chemistry of the elements in the periodic table. It presents structure and bonding, generalizations of structural trends, crystallographic data, as well as highlights from the recent literature.

Download or read book Crystallographic Texture and Group Representations written by Chi-Sing Man and published by Springer Nature. This book was released on 2023-01-13 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book starts with an introduction to quantitative texture analysis (QTA), which adopts conventions (active rotations, definition of Euler angles, Wigner D-functions) that conform to those of the present-day mathematics and physics literature. Basic concepts (e.g., orientation; orientation distribution function (ODF), orientation density function, and their relationship) are made precise through their mathematical definition. Parts II and III delve deeper into the mathematical foundations of QTA, where the important role played by group representations is emphasized. Part II includes one chapter on generalized QTA based on the orthogonal group, and Part III one on tensorial Fourier expansion of the ODF and tensorial texture coefficients. This work will appeal to students and practitioners who appreciate a precise presentation of QTA through a unifying mathematical language, and to researchers who are interested in applications of group representations to texture analysis. Previously published in the Journal of Elasticity, Volume 149, issues 1-2, April, 2022

Download or read book The Geometric Phase in Quantum Systems written by Arno Bohm and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "...useful for experts in mathematical physics...this is a very interesting book, which deserves to be found in any physical library." (OPTICS & PHOTONICS NEWS, July/August 2005).

Download or read book Group Theory and Its Applications in Physics written by Teturo Inui and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has been written to introduce readers to group theory and its ap plications in atomic physics, molecular physics, and solid-state physics. The first Japanese edition was published in 1976. The present English edi tion has been translated by the authors from the revised and enlarged edition of 1980. In translation, slight modifications have been made in. Chaps. 8 and 14 to update and condense the contents, together with some minor additions and improvements throughout the volume. The authors cordially thank Professor J. L. Birman and Professor M. Car dona, who encouraged them to prepare the English translation. Tokyo, January 1990 T. Inui . Y. Tanabe Y. Onodera Preface to the Japanese Edition As the title shows, this book has been prepared as a textbook to introduce readers to the applications of group theory in several fields of physics. Group theory is, in a nutshell, the mathematics of symmetry. It has three main areas of application in modern physics. The first originates from early studies of crystal morphology and constitutes a framework for classical crystal physics. The analysis of the symmetry of tensors representing macroscopic physical properties (such as elastic constants) belongs to this category. The sec ond area was enunciated by E. Wigner (1926) as a powerful means of handling quantum-mechanical problems and was first applied in this sense to the analysis of atomic spectra. Soon, H.