Introduction to Group Theory with Applications

Author: Gerald Burns
Publisher: Academic Press
ISBN: 1483191494
Format: PDF, Kindle
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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.

Materials Science in Energy Technology

Author: G Libowitz
Publisher: Elsevier
ISBN: 0323145531
Format: PDF, ePub, Mobi
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Materials Science in Energy Technology presents the fundamental properties of materials that are essential to a particular energy application. This book discusses the areas of research required for the development of other materials for that application. Organized into 10 chapters, this book starts with an overview of the methods of producing energy, which are arranged in approximate chronological order as to when the methods were or will be first utilized. This text then reviews the wide scope of materials associated with nuclear fission technology. Other chapters consider the major materials requirements and problems for ceramics in magnetohydrodynamic (MHD) power generators. This book discusses as well the three processes that are involved in the photovoltaic effect, including light absorption, charge separation in the photovoltaic cell, and migration of charge carriers. The final chapter deals with the physical properties of superconductors. This book is a valuable resource for materials scientists, metallurgists, physicists, and chemists.

Group Theory

Author: Mildred S. Dresselhaus
Publisher: Springer Science & Business Media
ISBN: 3540328971
Format: PDF, Docs
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This concise, class-tested book was refined over the authors’ 30 years as instructors at MIT and the University Federal of Minas Gerais (UFMG) in Brazil. The approach centers on the conviction that teaching group theory along with applications helps students to learn, understand and use it for their own needs. Thus, the theoretical background is confined to introductory chapters. Subsequent chapters develop new theory alongside applications so that students can retain new concepts, build on concepts already learned, and see interrelations between topics. Essential problem sets between chapters aid retention of new material and consolidate material learned in previous chapters.

Electron and Positron Spectroscopies in Materials Science and Engineering

Author: Otto Buck
Publisher: Academic Press
ISBN: 1483191486
Format: PDF, ePub
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Electron and Positron Spectroscopies in Materials Science and Engineering presents the advances and limitations of instrumentations for surface and interface probing useful to metallurgical applications. It discusses the Auger electron spectroscopy and electron spectroscopy for chemical analysis. It addresses the means to determine the chemistry of the surface. Some of the topics covered in the book are the exo-electron emission; positron annihilation; extended x-ray absorption fine structure; high resolution electron microscopy; uniaxial monotonic deformation-induced dislocation substructure; and analytical electron microscopy. The mechanistic basis for exo-electron spectroscopy is covered. The correlation of fatigue and photoyield are discussed. The text describes the tribostimulated emission. A study of the quantitative measurement of fatigue damage is presented. A chapter is devoted to the fracture of oxide films on aluminium. Another section focuses on the positron annihilation experimental details and the creep-induced dislocation substructure. The book can provide useful information to scientists, engineers, students, and researchers.

Synthetic Modulated Structures

Author: Leroy L. Chang
Publisher: Elsevier
ISBN: 1483191621
Format: PDF
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Materials Science and Technology Series: Synthetic Modulated Structures focuses on synthetic modulated structures, which is described as any periodically perturbed materials with a repetition greater than the basic unit cell dimension. The book is organized into three parts. Part I provides a perspective of developments and structural characterization of the semiconductor and metal area. The electronic properties in different configurations and structures, including compositional and doping modulation are covered in Part II. Part III begins with preparation methods, followed by a discussion on distinctive fields of interest in metals, transport and magnetic properties, superconductivity, and diffusion. This publication is a good source for students and researchers conducting work in the general area of modulated structures.

Group Theory in Solid State Physics and Photonics

Author: Wolfram Hergert
Publisher: John Wiley & Sons
ISBN: 352741133X
Format: PDF
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While group theory and its application to solid state physics is well established, this textbook raises two completely new aspects. First, it provides a better understanding by focusing on problem solving and making extensive use of Mathematica tools to visualize the concepts. Second, it offers a new tool for the photonics community by transferring the concepts of group theory and its application to photonic crystals. Clearly divided into three parts, the first provides the basics of group theory. Even at this stage, the authors go beyond the widely used standard examples to show the broad field of applications. Part II is devoted to applications in condensed matter physics, i.e. the electronic structure of materials. Combining the application of the computer algebra system Mathematica with pen and paper derivations leads to a better and faster understanding. The exhaustive discussion shows that the basics of group theory can also be applied to a totally different field, as seen in Part III. Here, photonic applications are discussed in parallel to the electronic case, with the focus on photonic crystals in two and three dimensions, as well as being partially expanded to other problems in the field of photonics. The authors have developed Mathematica package GTPack which is available for download from the book's homepage. Analytic considerations, numerical calculations and visualization are carried out using the same software. While the use of the Mathematica tools are demonstrated on elementary examples, they can equally be applied to more complicated tasks resulting from the reader's own research.

Group Theory for Chemists

Author: Kieran C Molloy
Publisher: Elsevier
ISBN: 0857092413
Format: PDF, ePub
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The basics of group theory and its applications to themes such as the analysis of vibrational spectra and molecular orbital theory are essential knowledge for the undergraduate student of inorganic chemistry. The second edition of Group Theory for Chemists uses diagrams and problem-solving to help students test and improve their understanding, including a new section on the application of group theory to electronic spectroscopy. Part one covers the essentials of symmetry and group theory, including symmetry, point groups and representations. Part two deals with the application of group theory to vibrational spectroscopy, with chapters covering topics such as reducible representations and techniques of vibrational spectroscopy. In part three, group theory as applied to structure and bonding is considered, with chapters on the fundamentals of molecular orbital theory, octahedral complexes and ferrocene among other topics. Additionally in the second edition, part four focuses on the application of group theory to electronic spectroscopy, covering symmetry and selection rules, terms and configurations and d-d spectra. Drawing on the author’s extensive experience teaching group theory to undergraduates, Group Theory for Chemists provides a focused and comprehensive study of group theory and its applications which is invaluable to the student of chemistry as well as those in related fields seeking an introduction to the topic. Provides a focused and comprehensive study of group theory and its applications, an invaluable resource to students of chemistry as well as those in related fields seeking an introduction to the topic Presents diagrams and problem-solving exercises to help students improve their understanding, including a new section on the application of group theory to electronic spectroscopy Reviews the essentials of symmetry and group theory, including symmetry, point groups and representations and the application of group theory to vibrational spectroscopy

Group Theory with Applications in Chemical Physics

Author: Patrick W. M. Jacobs
Publisher: Cambridge University Press
ISBN: 9780521642507
Format: PDF, Docs
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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.

Group Theory and Quantum Mechanics

Author: Michael Tinkham
Publisher: Courier Corporation
ISBN: 0486131661
Format: PDF, ePub, Mobi
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Graduate-level text develops group theory relevant to physics and chemistry and illustrates their applications to quantum mechanics, with systematic treatment of quantum theory of atoms, molecules, solids. 1964 edition.