Site Symmetry In Crystals
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Site Symmetry In Crystals
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Author : Robert A. Evarestov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Site Symmetry In Crystals written by Robert A. Evarestov 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.
Site Symmetry in Crystals is the first comprehensive account of the group-theoretical aspects of the site (local) symmetry approach to the study of crystalline solids. The efficiency of this approach, which is based on the concepts of simple induced and band representations of space groups, is demonstrated by considering newly developed applications to electron surface states, point defects, symmetry analysis in lattice dynamics, the theory of second-order phase transitions, and magnetically ordered and non-rigid crystals. Tables of simple induced respresentations are given for the 24 most common space groups, allowing the rapid analysis of electron and phonon states in complex crystals with many atoms in the unit cell.
Site Symmetry In Crystals
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Author : Robert A Evarestov
language : en
Publisher:
Release Date : 1997-01-16
Site Symmetry In Crystals written by Robert A Evarestov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-16 with categories.
Symmetry Of Crystals
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Author : Theo Hahn
language : en
Publisher: International Scholars Publications
Release Date : 1994
Symmetry Of Crystals written by Theo Hahn and has been published by International Scholars Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Science categories.
Introduction To Crystallography
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Author : Frank Hoffmann
language : en
Publisher: Springer Nature
Release Date : 2020-07-31
Introduction To Crystallography written by Frank Hoffmann and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-31 with Science categories.
This book invites you on a systematic tour through the fascinating world of crystals and their symmetries. The reader will gain an understanding of the symmetry of external crystal forms (morphology) and become acquainted with all the symmetry elements needed to classify and describe crystal structures. The book explains the context in a very vivid, non-mathematical way and captivates with clear, high-quality illustrations. Online materials accompany the book; including 3D models the reader can explore on screen to aid in the spatial understanding of the structure of crystals. After reading the book, you will not only know what a space group is and how to read the International Tables for Crystallography, but will also be able to interpret crystallographic specifications in specialist publications. If questions remain, you also have the opportunity to ask the author on the book's website.
Symmetry Of Crystals And Molecules
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Author : Marcus Frederick Charles Ladd
language : en
Publisher: Oxford University Press, USA
Release Date : 2014
Symmetry Of Crystals And Molecules written by Marcus Frederick Charles Ladd 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 2014 with Science categories.
An eminently readable book on the symmetry of crystals and molecules, starting from first principles
Symmetry And Physical Properties Of Crystals
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Author : Cécile Malgrange
language : en
Publisher: Springer
Release Date : 2014-12-04
Symmetry And Physical Properties Of Crystals written by Cécile Malgrange and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-04 with Science categories.
Crystals are everywhere, from natural crystals (minerals) through the semiconductors and magnetic materials in electronic devices and computers or piezoelectric resonators at the heart of our quartz watches to electro-optical devices. Understanding them in depth is essential both for pure research and for their applications. This book provides a clear, thorough presentation of their symmetry, both at the microscopic space-group level and the macroscopic point-group level. The implications of the symmetry of crystals for their physical properties are then presented, together with their mathematical description in terms of tensors. The conditions on the symmetry of a crystal for a given property to exist then become clear, as does the symmetry of the property. The geometrical representation of tensor quantities or properties is presented, and its use in determining important relationships emphasized. An original feature of this book is that most chapters include exercises with complete solutions. This allows readers to test and improve their understanding of the material. The intended readership includes undergraduate and graduate students in materials science and materials-related aspects of electrical and optical engineering; researchers involved in the investigation of the physical properties of crystals and the design of applications based on crystal properties such as piezoelectricity, electro-optics, optical activity and all those involved in the characterization of the structural properties of materials.
Crystal Structures
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Author : Michael O'Keeffe
language : en
Publisher: Courier Dover Publications
Release Date : 2020-04-15
Crystal Structures written by Michael O'Keeffe and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-15 with Science categories.
This classic text is devoted to describing crystal structures, especially periodic structures, and their symmetries. Updated material prepared by author enhances presentation, which can serve as text or reference. 1996 edition.
Crystallography And The World Of Symmetry
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Author : Sanat K. Chatterjee
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-19
Crystallography And The World Of Symmetry written by Sanat K. Chatterjee 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 2008-09-19 with Science categories.
Symmetry exists in realms from crystals to patterns, in external shapes of living or non-living objects, as well as in the fundamental particles and the physical laws that govern them. In fact, the search for this symmetry is the driving force for the discovery of many fundamental particles and the formulation of many physical laws. While one can not imagine a world which is absolutely symmetrical nor can one a world which is absolutely asymmetrical. These two aspects of nature are intermingled with each other inseparably. This is the basis of the existence of aperiodicity manifested in the liquid crystals and also quasi-crystals also discussed in “Crystallography and the World of Symmetry”.
Site Symmetry In Crystals
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Author : Robert A. Evarestov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Site Symmetry In Crystals written by Robert A. Evarestov 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.
The history of applications of space group theory to solid state physics goes back more than five decades. The periodicity of the lattice and the definition of a k-space were the corner-stones of this application. Prof. Volker Heine in Vol. 35 of Solid State Physics (1980) noted that, even in perfect crystals, where k-space methods are appropriate, the local properties (such as the charge densi ty, bond order, etc.) are defined by the local environment of one atom. Natural ly, "k-space methods" are not appropriate for crystals with point defects, sur faces and interfaces, or for amorphous materials. In such cases the real-space approach favored by chemists to describe molecules has turned out to be very useful. To span the gulf between the k-space and real space methods it is helpful to recall that atoms in crystalline solids possess a site symmetry defined by the symmetry of the local environment of the atom occupying the site. The site symmetry concept is familiar to crystallographers and commonly used by them in the description of crystalline structures. However, in the application of group theory to solid state physics problems, the site symmetry approach has been used only for the last ten to fifteen years. In our book Methods oj Group Theory in the Quantum Chemistry oj Solids published in Russian in 1987 by Leningrad University Press we gave the first results of this application to the theory of electronic structure of crystals.
Symmetry In Crystallography
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Author : Paolo Radaelli
language : en
Publisher: Oxford University Press
Release Date : 2011-09-22
Symmetry In Crystallography written by Paolo Radaelli and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-22 with Mathematics categories.
A fresh approach to teaching crystallographic symmetry. Rather than being swamped by heavy algebraic notation, the reader is taken through a series of simple and beautiful examples from the visual arts, and taught how to analyse them employing the 'pictorial' diagrams used in the International Tables of Crystallography.