Space Group Representations
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Space Group Representations
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Author : Nikolai B. Melnikov
language : en
Publisher: Springer Nature
Release Date : 2023-01-01
Space Group Representations written by Nikolai B. Melnikov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Science categories.
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.
Representation Of Crystallographic Space Groups
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Author : Kovalev
language : en
Publisher: CRC Press
Release Date : 1993-12-08
Representation Of Crystallographic Space Groups written by Kovalev and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-12-08 with Science categories.
This new edition of Kovalev's renowned text (first English edition, 1965) presents all the irreducible representations (IRs) and irreducible corepresentations (ICRs) for the 230 crystallographic space groups. In order to give readers the opportunity of representing generally the entire crystallographic symmetry, the method of inducing an IR of the local groups is presented first, and then complete lists of induced representations (InRs) which allow the calculation of the microstructure of any crystal (already known or not yet discovered, but geometrically not forbidden) in any physical question. For research students and researchers in theoretical aspects of solid state physics, crystallography, and space group theory. Translated from the second Russian edition of 1987. Annotation copyright by Book News, Inc., Portland, OR
Irreducible Representations Of The Space Groups
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Author : Oleg Vladimirovich Kovalev
language : en
Publisher: Routledge
Release Date : 1965
Irreducible Representations Of The Space Groups written by Oleg Vladimirovich Kovalev and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Mathematics categories.
The Mathematical Theory Of Symmetry In Solids
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Author : Christopher Bradley
language : en
Publisher: Oxford University Press
Release Date : 2010
The Mathematical Theory Of Symmetry In Solids written by Christopher Bradley 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 2010 with Mathematics categories.
This classic book gives, in extensive tables, the irreducible representations of the crystallographic point groups and space groups. These are useful in studying the eigenvalues and eigenfunctions of a particle or quasi-particle in a crystalline solid. The theory is extended to the corepresentations of the Shubnikov groups.
The Irreducible Representations Of Space Groups
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Author : Joshua Zak
language : en
Publisher: Addison Wesley Longman
Release Date : 1969
The Irreducible Representations Of Space Groups written by Joshua Zak and has been published by Addison Wesley Longman this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Mathematics categories.
Tables Of Irreducible Representations Of Space Groups And Co Representations Of Magnetic Space Groups
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Author : Stanley C. Miller
language : en
Publisher:
Release Date : 1967
Tables Of Irreducible Representations Of Space Groups And Co Representations Of Magnetic Space Groups written by Stanley C. Miller and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Crystal lattices categories.
"This volume contains a computer calculation of tables of the irreducible representations of 230 space groups of all prominent symmetry points in the associated Brillouin zones. The characters of the elements of the group of k are included as well as compatibility tables for related symmetry points. A second section gives the irreducible co-representations of the remaining 1421 magnetic space groups and the classification into the degeneracy types discussed by Wigner. A brief introduction to the theory of space groups will be given before the detailed description of the tables is presented. A general knowledge of group theory is assumed."--Intro. Published 1967.
Space Groups And Their Representations
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Author : Gertjan Koster
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Space Groups And Their Representations written by Gertjan Koster and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.
Space Groups and Their Representations focuses on the discussions on space groups and their corresponding numerical and analytical representations. Divided into six chapters, the book starts with the presentation of the nature and properties of space groups. This topic includes orthogonal transformations and Bravais lattices, such as cubic system, triclinic system, trigonal and hexagonal systems, monoclinic systems, and tetragonal systems. The book then proceeds with the discussion on the irreducible representations of space groups, and then covers the general theory, simplification, and introduction. Discussions on various examples of space groups are given in the third chapter. Numerical representations are provided to support the validity of the different space groups, including discussions on double groups. The book also points out that the irreducible representation of space groups and the application of representation theory to them manifest the latest developments on geometrical crystallography. The text is a vital source of data for scholars and readers who are interested to study space groups and crystallography.
Space Groups And Their Representations
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Author : George F. Koster
language : en
Publisher:
Release Date : 1957
Space Groups And Their Representations written by George F. Koster and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with Crystallography, Mathematical categories.
Point Groups Space Groups Crystals Molecules
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Author : R. Mirman
language : en
Publisher: World Scientific
Release Date : 1999
Point Groups Space Groups Crystals Molecules written by R. Mirman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Science categories.
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.
Theory Of Crystal Space Groups And Lattice Dynamics
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Author : J. L. Birman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Theory Of Crystal Space Groups And Lattice Dynamics written by J. L. Birman 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.
Reissue of Encyclopedia of Physics/Handbuch der Physik, Vol. XXV/2b I am very pleased that my book is now to be reprinted and rebound in a new format which should make it accessible at a modest price to students and active researchers in condensed matter physics. In writing this book I had in mind an audience of physicists and chemists with no previous deep exposure to symmetry analysis of crystalline matter, non to the use of symmetry in simplifying and refining predictions of the results of optical experiments. Hence the book was written to explain and illustrate in all necessary detail how to: 1) describe the space group symmetry in terms of space group symmetry operations; 2) obtain irreducible representations and selection rules for optical infra-red and Raman and other transition processes. On the physical side I redeveloped the traditional theory of classical and quantum lattice dynamics, illustrating how space-time symmetry designations in the equations of motion can: 1) simplify and rationalize calculations of the classical eigenvectors of the dynamical equation; 2) permit classification of the eigenstates of the quantum lattice-dynamic pro blem; 3) give specific selection rules for optical infra-red and Raman lattice processes, and thus make "go, no-go" predictions including polarization of absorbed or scattered radiation; and 4) simplify the modern many-body theories of optical processes.