Space Groups And Their Representations

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Space Groups and Their Representations

Author : Gertjan Koster
Publisher : Elsevier
ISBN 13 : 0323161170
Total Pages : 89 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Space Groups and Their Representations by : Gertjan Koster

Download or read book Space Groups and Their Representations written by Gertjan Koster and published by Elsevier. This book was released on 2012-12-02 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : George F. Koster
Publisher :
ISBN 13 :
Total Pages : 84 pages
Book Rating : 4.:/5 (119 download)

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Book Synopsis Space Groups and Their Representations by : George F. Koster

Download or read book Space Groups and Their Representations written by George F. Koster and published by . This book was released on 1964 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Representation of Crystallographic Space Groups

Author : Kovalev
Publisher : CRC Press
ISBN 13 : 9782881249341
Total Pages : 410 pages
Book Rating : 4.2/5 (493 download)

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Book Synopsis Representation of Crystallographic Space Groups by : Kovalev

Download or read book Representation of Crystallographic Space Groups written by Kovalev and published by CRC Press. This book was released on 1993-12-08 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Solid State Physics

Author :
Publisher : Academic Press
ISBN 13 : 9780080864693
Total Pages : 454 pages
Book Rating : 4.8/5 (646 download)

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Book Synopsis Solid State Physics by :

Download or read book Solid State Physics written by and published by Academic Press. This book was released on 1957-01-01 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solid State Physics

Space Groups and Their Representations

Author : George F. Koster
Publisher :
ISBN 13 :
Total Pages : 96 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Space Groups and Their Representations by : George F. Koster

Download or read book Space Groups and Their Representations written by George F. Koster and published by . This book was released on 1957 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Space Group Representations

Author : Nikolai B. Melnikov
Publisher : Springer Nature
ISBN 13 : 3031139917
Total Pages : 343 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Space Group Representations by : Nikolai B. Melnikov

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.

Irreducible Representations of the Space Groups

Author : Oleg Vladimirovich Kovalev
Publisher : Routledge
ISBN 13 :
Total Pages : 176 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Irreducible Representations of the Space Groups by : Oleg Vladimirovich Kovalev

Download or read book Irreducible Representations of the Space Groups written by Oleg Vladimirovich Kovalev and published by Routledge. This book was released on 1965 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:

International Tables for Crystallography, Volume B

Author : Uri Shmueli
Publisher : Springer Science & Business Media
ISBN 13 : 9781402082054
Total Pages : 704 pages
Book Rating : 4.0/5 (82 download)

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Book Synopsis International Tables for Crystallography, Volume B by : Uri Shmueli

Download or read book International Tables for Crystallography, Volume B written by Uri Shmueli and published by Springer Science & Business Media. This book was released on 2008-08-27 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Tables for Crystallography are no longer available for purchase from Springer. For further information please contact Wiley Inc. (follow the link on the right hand side of this page). Volume B presents accounts of the numerous aspects of reciprocal space in crystallographic research. After an introductory chapter, Part 1 presents the reader with an account of structure-factor formalisms, an extensive treatment of the theory, algorithms and crystallographic applications of Fourier methods, and fundamental as well as advanced treatments of symmetry in reciprocal space. In Part 2, these general accounts are followed by detailed expositions of crystallographic statistics, the theory of direct methods, Patterson techniques, isomorphous replacement and anomalous scattering, and treatments of the role of electron microscopy and diffraction in crystal structure determination, including applications of direct methods to electron crystallography. Part 3 deals with applications of reciprocal space to molecular geometry and `best'-plane calculations, and contains a treatment of the principles of molecular graphics and modelling and their applications. A convergence-acceleration method of importance in the computation of approximate lattice sums is presented and the part concludes with a discussion of the Ewald method. Part 4 contains treatments of various diffuse-scattering phenomena arising from crystal dynamics, disorder and low dimensionality (liquid crystals), and an exposition of the underlying theories and/or experimental evidence. Polymer crystallography and reciprocal-space images of aperiodic crystals are also treated. Part 5 of the volume contains introductory treatments of the theory of the interaction of radiation with matter (dynamical theory) as applied to X-ray, electron and neutron diffraction techniques. The simplified trigonometric expressions for the structure factors in the 230 three-dimensional space groups, which appeared in Volume I of International Tables for X-ray Crystallography, are now given in Appendix 1.4.3 to Chapter 1.4 of this volume. Volume B is a vital addition to the library of scientists engaged in crystal structure determination, crystallographic computing, crystal physics and other fields of crystallographic research. Graduate students specializing in crystallography will find much material suitable for self-study and a rich source of references to the relevant literature.

Theories and Techniques of Crystal Structure Determination

Author : Uri Shmueli
Publisher : Oxford University Press
ISBN 13 : 9780199213504
Total Pages : 283 pages
Book Rating : 4.2/5 (135 download)

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Book Synopsis Theories and Techniques of Crystal Structure Determination by : Uri Shmueli

Download or read book Theories and Techniques of Crystal Structure Determination written by Uri Shmueli and published by Oxford University Press. This book was released on 2007-06-07 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a detailed but concise exposition of crystal structure determination at a graduate level. Discussions range from geometrical principles of crystallography, through relevant experimental methods, to techniques of reliable and accurate determination of crystal structures.

Second-Order Phase Transitions and the Irreducible Representation of Space Groups

Author : Hugo F. Franzen
Publisher : Springer Science & Business Media
ISBN 13 : 3642489478
Total Pages : 108 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Second-Order Phase Transitions and the Irreducible Representation of Space Groups by : Hugo F. Franzen

Download or read book Second-Order Phase Transitions and the Irreducible Representation of Space Groups written by Hugo F. Franzen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lecture notes presented in this volume were developed over a period of time that originated with the investigation of a research problem, the distortion from NiAs-type to MnP-type, the group-theoretical implications of which were investigated in collaboration with Professors F. Jellinek and C. Haas of the Laboratory for Inorganic Chemistry at the University of Groningen during the 1973-1974 year. This distortion provides the major example that is worked through in the notes. The subject matter of the notes has been incorporated in part in the lectures of a course in Solid State Chemistry taught several times at Iowa State University, and formed the basis of a series of lectures presented at the Max-Planck Institute for Solid State Research in Stuttgart during 1981- 19821 and as part of a Solid State Chemistry course taught during the spring of 1982 at Arizona State University in Tempe. I wish here to express my gratitude to the Max-Planck Institute for Solid State Research and to Arizona State University for the opportunity and support they provided during the time I was developing and writing the lecture notes of this volume. I wish also to thank the many colleagues and students who have offered comments and suggestions that have improved the accuracy and readability of the notes, and who have provided stimulation through discussion of the ideas presented here. am especially indebted to Professors C. Haas and F.

The Mathematical Theory of Symmetry in Solids

Author : Christopher Bradley
Publisher : Oxford University Press
ISBN 13 : 0199582580
Total Pages : 758 pages
Book Rating : 4.1/5 (995 download)

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Book Synopsis The Mathematical Theory of Symmetry in Solids by : Christopher Bradley

Download or read book The Mathematical Theory of Symmetry in Solids written by Christopher Bradley and published by Oxford University Press. This book was released on 2010 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Joshua Zak
Publisher : Addison Wesley Longman
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Irreducible Representations of Space Groups by : Joshua Zak

Download or read book The Irreducible Representations of Space Groups written by Joshua Zak and published by Addison Wesley Longman. This book was released on 1969 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Point Groups, Space Groups, Crystals, Molecules

Author : R Mirman
Publisher : World Scientific Publishing Company
ISBN 13 : 9813105364
Total Pages : 744 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Point Groups, Space Groups, Crystals, Molecules by : R Mirman

Download or read book Point Groups, Space Groups, Crystals, Molecules written by R Mirman and published by World Scientific Publishing Company. This book was released on 1999-05-14 with total page 744 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. Request Inspection Copy

Compact Lie Groups and Their Representations

Author : Dmitriĭ Petrovich Zhelobenko
Publisher : American Mathematical Soc.
ISBN 13 : 9780821886649
Total Pages : 464 pages
Book Rating : 4.8/5 (866 download)

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Book Synopsis Compact Lie Groups and Their Representations by : Dmitriĭ Petrovich Zhelobenko

Download or read book Compact Lie Groups and Their Representations written by Dmitriĭ Petrovich Zhelobenko and published by American Mathematical Soc.. This book was released on 1973-01-01 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Groups and Their Representations

Author : Anatoli Klimyk
Publisher : Springer Science & Business Media
ISBN 13 : 3642608965
Total Pages : 568 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Quantum Groups and Their Representations by : Anatoli Klimyk

Download or read book Quantum Groups and Their Representations written by Anatoli Klimyk and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book start with an introduction to quantum groups for the beginner and continues as a textbook for graduate students in physics and in mathematics. It can also be used as a reference by more advanced readers. The authors cover a large but well-chosen variety of subjects from the theory of quantum groups (quantized universal enveloping algebras, quantized algebras of functions) and q-deformed algebras (q-oscillator algebras), their representations and corepresentations, and noncommutative differential calculus. The book is written with potential applications in physics and mathematics in mind. The basic quantum groups and quantum algebras and their representations are given in detail and accompanied by explicit formulas. A number of topics and results from the more advanced general theory are developed and discussed.

Site Symmetry in Crystals

Author : Robert A. Evarestov
Publisher : Springer Science & Business Media
ISBN 13 : 3642604889
Total Pages : 292 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Site Symmetry in Crystals by : Robert A. Evarestov

Download or read book Site Symmetry in Crystals written by Robert A. Evarestov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Space Groups for Solid State Scientists

Author : Michael Glazer
Publisher : Academic Press
ISBN 13 : 0123946158
Total Pages : 432 pages
Book Rating : 4.1/5 (239 download)

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Book Synopsis Space Groups for Solid State Scientists by : Michael Glazer

Download or read book Space Groups for Solid State Scientists written by Michael Glazer and published by Academic Press. This book was released on 2013-01-03 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensively revised – essentially rewritten – new edition of the 1990 edition (described as "extremely useful" by MATHEMATICAL REVIEWS and as "understandable and comprehensive" by Scitech) guides readers through the dense array of mathematical information in the International Tables Volume A. Thus, most scientists seeking to understand a crystal structure publication can do this from this book without necessarily having to consult the International Tables themselves. This remains the only book aimed at non-crystallographers devoted to teaching them about crystallographic space groups. Reflecting the bewildering array of recent changes to the International Tables, this new edition brings the standard of science well up-to-date, reorganizes the logical order of chapters, improves diagrams and presents clearer explanations to aid understanding Clarifies, condenses and simplifies the meaning of the deeply written, complete Tables of Crystallography into manageable chunks Provides a detailed, multi-factor, interdisciplinary explanation of how to use the International Tables for a number of possible, hitherto unexplored uses Presents essential knowledge to those needing the necessary but missing pedagogical support and detailed advice – useful for instance in symmetry of domain walls in solids