Primer For Point And Space Groups

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Primer For Point And Space Groups

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Author : Richard Liboff
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Primer For Point And Space Groups written by Richard Liboff 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 Science categories.

This text stems from a course I have taught a number of times, attended by students of material science, electrical engineering, physics, chemistry, physical chemistry and applied mathematics. It is intended as an intro ductory discourse to give the reader a first encounter with group theory. The work concentrates on point and space groups as these groups have the principal application in technology. Here is an outline of the salient features of the chapters. In Chapter 1, basic notions and definitions are introduced including that of Abelian groups, cyclic groups, Sylow's theorems, Lagrange's subgroup theorem and the rearrangement theorem. In Chapter 2, the concepts of classes and direct products are discussed. Applications of point groups to the Platonic solids and non-regular dual polyhedra are described. In Chapter 3, matrix representation of operators are introduced leading to the notion of irreducible representations ('irreps'). The Great Orthogonal ity Theorem (GOT) is also introduced, followed by six important rules relating to dimensions of irreps. Schur's lemma and character tables are described. Applications to quantum mechanics are discussed in Chapter 4 including descriptions of the rotation groups in two and three dimensions, the symmetric group, Cayley's theorem and Young diagrams. The relation of degeneracy of a quantum state of a system to dimensions of irreps of the group of symmetries of the system are discussed, as well as the basis properties of related eigenfunctions.

Primer For Point And Space Groups

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Author : Richard Liboff
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-12-18

Primer For Point And Space Groups written by Richard Liboff 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 2003-12-18 with Science categories.

Written in the spirit of Liboff's acclaimed text on Quantum Mechanics, this introduction to group theory offers an exceptionally clear presentation with a good sense of what to explain, which examples are most appropriate, and when to give a counter-example.

Introduction To The Physics And Chemistry Of Materials

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Author : Robert J. Naumann
language : en
Publisher: CRC Press
Release Date : 2008-12-22

Introduction To The Physics And Chemistry Of Materials written by Robert J. Naumann and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-22 with Science categories.

Discusses the Structure and Properties of Materials and How These Materials Are Used in Diverse ApplicationsBuilding on undergraduate students' backgrounds in mathematics, science, and engineering, Introduction to the Physics and Chemistry of Materials provides the foundation needed for more advanced work in materials science. Ideal for a two-semes

Fundamentals Of The Physics Of Solids

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Author : Jenö Sólyom
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-09-19

Fundamentals Of The Physics Of Solids written by Jenö Sólyom 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 2007-09-19 with Science categories.

This book is the first of a three-volume series written by the same author. It aims to deliver a comprehensive and self-contained account of the fundamentals of the physics of solids. In the presentation of the properties and experimentally observed phenomena together with the basic concepts and theoretical methods, it goes far beyond most classic texts. The essential features of various experimental techniques are also explained. The text provides material for upper-level undergraduate and graduate courses. It will also be a valuable reference for researchers in the field of condensed matter physics.

Foundations Of Crystallography With Computer Applications

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Author : Maureen M. Julian
language : en
Publisher: CRC Press
Release Date : 2011-03-05

Foundations Of Crystallography With Computer Applications written by Maureen M. Julian and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-05 with Science categories.

X-ray crystallography provides a unique opportunity to study the arrangement of atoms in a molecule. This book's modern computer-graphics centered approach facilitates the extrapolation of these valuable observations. A unified treatment of crystal systems, the book explains how atoms are arranged in crystals using the metric matrix. Featuring t

Crystallography

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Author : Walter Borchardt-Ott
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-08-31

Crystallography written by Walter Borchardt-Ott 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 2011-08-31 with Science categories.

As a self-study guide, course primer or teaching aid, Borchardt-Ott's Crystallography is the perfect textbook for students and teachers alike. In fact, it can be used by crystallographers, chemists, mineralogists, geologists and physicists. Based on the author's more than 25 years of teaching experience, the book has numerous line drawings designed especially for the text and a large number of exercises - with solutions - at the end of each chapter. This 3rd edition is the translation of the seventh German edition with new chapters focused on crystal chemistry and x-ray diffraction methods.

Introduction To Mathematical Physics

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Author : Michael T. Vaughn
language : en
Publisher: John Wiley & Sons
Release Date : 2007-06-18

Introduction To Mathematical Physics written by Michael T. Vaughn and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-18 with Science categories.

A comprehensive survey of all the mathematical methods that should be available to graduate students in physics. In addition to the usual topics of analysis, such as infinite series, functions of a complex variable and some differential equations as well as linear vector spaces, this book includes a more extensive discussion of group theory than can be found in other current textbooks. The main feature of this textbook is its extensive treatment of geometrical methods as applied to physics. With its introduction of differentiable manifolds and a discussion of vectors and forms on such manifolds as part of a first-year graduate course in mathematical methods, the text allows students to grasp at an early stage the contemporary literature on dynamical systems, solitons and related topological solutions to field equations, gauge theories, gravitational theory, and even string theory. Free solutions manual available for lecturers at www.wiley-vch.de/supplements/.

Mathematical Methods

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Author : Sadri Hassani
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-06-15

Mathematical Methods written by Sadri Hassani 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 2000-06-15 with Mathematics categories.

Intended to follow the usual introductory physics courses, this book contains many original, lucid and relevant examples from the physical sciences, problems at the ends of chapters, and boxes to emphasize important concepts to help guide students through the material.

A Primer On Mapping Class Groups

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Author : Benson Farb
language : en
Publisher: Princeton University Press
Release Date : 2012

A Primer On Mapping Class Groups written by Benson Farb and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.

The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible, quickly and directly, while at the same time giving full details and keeping the text nearly self-contained. The book is suitable for graduate students. A Primer on Mapping Class Groups begins by explaining the main group-theoretical properties of Mod(S), from finite generation by Dehn twists and low-dimensional homology to the Dehn-Nielsen-Baer theorem. Along the way, central objects and tools are introduced, such as the Birman exact sequence, the complex of curves, the braid group, the symplectic representation, and the Torelli group. The book then introduces Teichmüller space and its geometry, and uses the action of Mod(S) on it to prove the Nielsen-Thurston classification of surface homeomorphisms. Topics include the topology of the moduli space of Riemann surfaces, the connection with surface bundles, pseudo-Anosov theory, and Thurston's approach to the classification.

Quasicrystals

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Author : Christian Janot
language : en
Publisher: Oxford University Press, USA
Release Date : 2012-10-18

Quasicrystals written by Christian Janot and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-18 with Medical categories.

In 1984 physicists discovered a monster in the world of crystallography, a structure that appeared to contain five-fold symmetry axes, which cannot exist in strictly periodic structures. Such quasi-periodic structures became known as quasicrystals. A previously formulated theory in terms of higher dimensional space groups was applied to them and new alloy phases were prepared which exhibited the properties expected from this model more closely. Thus many of the early controversies were dissolved. In 2011, the Nobel Prize for Chemistry was awarded to Dan Shechtman for the discovery of quasicrystals. This primer provides a descriptive approach to the subject for those coming to it for the first time. The various practical, experimental, and theoretical topics are dealt with in an accessible style. The book is completed by problem sets and there is a computer program that generates a Penrose lattice.