International Tables for Crystallography, Volume A1: Symmetry Relations Between Space Groups PDF Download
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Author: Hans Wondratschek
Publisher: Springer London
ISBN: 9781402082092
Category : Science
Languages : en
Pages : 768
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Book Description
Volume A1 presents a systematic treatment of the maximal subgroups and minimal supergroups of the crystallographic plane groups and space groups. It will be a useful resource for scientists engaged in crystal-structure determination, crystal physics or crystal chemistry.
Author: Hans Wondratschek
Publisher: Springer London
ISBN: 9781402082092
Category : Science
Languages : en
Pages : 768
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Book Description
Volume A1 presents a systematic treatment of the maximal subgroups and minimal supergroups of the crystallographic plane groups and space groups. It will be a useful resource for scientists engaged in crystal-structure determination, crystal physics or crystal chemistry.
Author: Hans Wondratschek
Publisher: John Wiley & Sons
ISBN: 9781402023552
Category : Science
Languages : en
Pages : 744
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Book Description
International Tables for Crystallography is the definitive resource and reference work for crystallography and structural science. Each of the eight volumes in the series contains articles and tables of data relevant to crystallographic research and to applications of crystallographic methods in all sciences concerned with the structure and properties of materials. Emphasis is given to symmetry, diffraction methods and techniques of crystal-structure determination, and the physical and chemical properties of crystals. The data are accompanied by discussions of theory, practical explanations and examples, all of which are useful for teaching. This volume presents a systematic treatment of the maximal subgroups and minimal supergroups of the crystallographic plane groups and space groups. It is an extension of and a supplement to Volume A, Space-group symmetry, in which only basic data for sub- and supergroups are provided. Group-subgroup relations, apart from their theoretical interest, are the basis of a number of important applications in crystallographic research: (1) In solid-state phase transitions there often exists a group-subgroup relation between the symmetry groups of the two phases. According to Landau theory, this is in fact mandatory for displacive (continuous, second-order) phase transitions. Group-subgroup relations are also indispensable in cases where the symmetry groups of the two phases are not directly related but share a common subgroup or supergroup. (2) Group-subgroup relations provide a concise and powerful tool for revealing and elucidating relations between crystal structures. They can thus help to keep up with the ever-increasing amount of crystal-structure data. Their application requires knowledge of the relations of the Wyckoff positions of group-subgroup related structures. (3) Group-subgroup relations are of great importance in the study of twinned crystals, domain structures and domain boundaries. (4) These relations can even help to identify errors in space-group assignment and crystal-structure determination. (5) Subgroups of space groups provide a valuable approach to teaching crystallographic symmetry. Volume A1 consists of three parts: Part 1 presents an introduction to the theory of space groups at various levels and with many examples. It includes a chapter on the mathematical theory of subgroups. Part 2 gives for each plane group and space group a complete listing of all maximal subgroups and minimal supergroups. The treatment includes the generators of each subgroup as well as any necessary changes of the coordinate system. Maximal isomorphic subgroups are given in parameterized form as infinite series because of the infinite number for each group. A special feature of the presentation is graphs that illustrate the group-subgroup relations. Part 3 lists the relations between the Wyckoff positions of every space group and its subgroups. Again, the infinite number of maximal isomorphic subgroups of each space group are covered by parameterized series. These data for Wyckoff positions are presented here for the first time. Audience: The volume is a valuable addition to the library of scientists engaged in crystal-structure determination, crystal physics or crystal chemistry. It is essential for those interested in phase transitions, the systematic compilation of crystal structures, twinning phenomena and related fields of crystallographic research.
Author: Theo Hahn
Publisher:
ISBN:
Category : Crystallography
Languages : en
Pages : 0
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Book Description
Author: Theo Hahn
Publisher: Springer
ISBN: 9780792365914
Category : Science
Languages : en
Pages : 160
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Book Description
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). This brief teaching edition is a condensed, inexpensive version of Volume A of International Tables for Crystallography. It consists of: complete descriptions of the 17 plane groups, useful for the teaching of symmetry 24 selected space-group examples, of varying complexity and distributed over all seven crystal systems those basic text sections of Volume A that are necessary for the understanding and handling of space groups (Parts 1, 2, 3 and 5). The purpose of the teaching edition is threefold: It should provide a handy (and inexpensive) tool for researchers and students wishing to familiarize themselves with the use of the space-group tables in Volume A. It is designed for use in classroom teaching, and with this aim in mind the price has been kept as low as possible. In order to achieve this, the material has been reprinted from Volume A without any changes, except for pagination. It may serve as a laboratory handbook because the 24 examples include most of the frequently occurring space groups, for both organic and inorganic crystals. The fifth edition of the brief teaching edition has been reviewed by M. Warren [Mineral. Mag. (2003). 67, 826-827].
Author: A.J.C. Wilson
Publisher: Springer
ISBN: 9780792352686
Category : Science
Languages : en
Pages : 1000
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Book Description
International Tables for Crystallography are no longer available for purchase from Springer. For further information please contact Wiley Inc. The purpose of Volume C is to provide the mathematical, physical, and chemical information needed for experimental studies in structural crystallography. This new edition features two completely new chapters, on reflectometry and neutron topography. More than half of the text has been revised and updated, and there are extensive updates and corrections to tabular material. Volume C covers all aspects of experimental techniques, using all three principal radiation types, from the selection and mounting of crystals and production of radiation through data collection and analysis to interpretation of results. Audience: The volume is an essential source of information for all workers using crystallographic techniques in physics, chemistry, metallurgy, earth sciences, and molecular biology.
Author: Mois I. Aroyo
Publisher: Wiley
ISBN: 9780470974230
Category : Science
Languages : en
Pages : 0
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Book Description
International Tables for Crystallography is the definitive resource and reference work for crystallography and structural science. Volume A of the series, Space-group symmetry, contains diagrams and tables of data for the 17 plane groups, the 230 space groups and the 32 crystallographic point groups.This new edition is edited by M. I. Aroyo and has been extensively updated and revised. Part 1 of the volume provides an introduction to space-group symmetry. It includes chapters on groups, crystallographic and space-group symmetry, descriptions of space groups, coordinate-system transformations and methods of space-group determination. The final chapter provides a useful introduction to topics treated in more depth in Volumes A1 and E of the series. The chapters in this part have been written with teaching in mind, and will prove invaluable for undergraduates or graduates wishing to learn about symmetry in crystallography, while providing a clear introduction to the topic for researchers from other disciplines. Part 2 of the volume presents the diagrams and tables of plane- and space-group data. The layout of the tables of data, the symbols used in the diagrams and the classification of the space groups are explained in a useful guide. Together these form an essential resource not only for professional crystallographers, but also for chemists, physicists, mineralogists, biologists and material scientists who employ crystallographic methods and who are concerned with the structure and the properties of crystalline materials. Part 3 treats more advanced topics on space-group symmetry, and covers crystal lattices, point groups and crystal classes, space-group symbols and their use, lattice complexes, normalizers of space groups, and magnetic subperiodic groups and magnetic space groups. There are eight new chapters in this 6th edition of Volume A, and five chapters have been revised. The layout of the space-group tables has been simplified as the sub- and supergroup data are now available in Volume A1, and there are new general-position diagrams for the cubic space groups. Additional diagrams showing tilted, perspective views of some of the more complex cubic space groups are also provided. More information on the series can be found at: http://it.iucr.org
Author: Mois I. Aroyo
Publisher: Wiley
ISBN: 9780470974223
Category : Science
Languages : en
Pages : 0
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Book Description
This sixth edition of what was previously known as the Brief Teaching Edition of Volume A provides an introduction to the basic crystallographic data for space groups found in Volume A, for symmetry relations between space groups in Volume A1 and for subperiodic groups in Volume E of International Tables for Crystallography, to magnetic space groups and to the symmetry database that forms part of International Tables Online at https://it.iucr.org. It is designed for graduate students and young researchers who are new to the field of crystallographic symmetry, and includes many illustrative examples to help readers to understand and use these different kinds of information. Selected tables of symmetry data from the full volumes in the series are also included, making this a handy aid for classroom teaching. References are also provided to further specialized sources for those who need to go deeper into the subject and to textbooks for those who need more background information.
Author: H. Fuess
Publisher: Wiley
ISBN: 9780470661635
Category : Science
Languages : en
Pages : 0
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Book Description
International Tables for Crystallography is the definitive resource and reference work for crystallography and structural science. Each of the eight volumes in the series contains articles and tables of data relevant to crystallographic research and to applications of crystallographic methods in all sciences concerned with the structure and properties of materials. Emphasis is given to symmetry, diffraction methods and techniques of crystal-structure determination, and the physical and chemical properties of crystals. The data are accompanied by discussions of theory, practical explanations and examples, all of which are useful for teaching. International Tables for Crystallography comprises 6,000 pages including nearly 2,000 pages of symmetry tables which are vital for the analysis of crystal structures: Volume A: Space-group symmetry, 5e Volume A1: Symmetry relations between space groups, 2e Volume B: Reciprocal space, 3e Volume C: Mathematical, physical and chemical tables, 3e Volume D: Physical properties of crystals Volume E: Subperiodic groups, 2e Volume F: Crystallography of biological macromolecules Volume G: Definition and exchange of crystallographic data This edition includes new editions of Volumes A1 and E, making International Tables the most up-to-date, dynamic, and comprehensive reference work available to crystallographers, and to all those who use crystallography across a wide range of fields.
Author: C. P. Brock
Publisher: Wiley
ISBN: 9781119050322
Category : Science
Languages : en
Pages : 0
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Book Description
International Tables for Crystallography is the definitive resource and reference work for crystallography and structural science. Each of the eight volumes in the series contains articles and tables of data relevant to crystallographic research and to applications of crystallographic methods in all sciences concerned with the structure and properties of materials. Emphasis is given to symmetry, diffraction methods and techniques of crystal-structure determination, and the physical and chemical properties of crystals. The data are accompanied by discussions of theory, practical explanations and examples, all of which are useful for teaching. International Tables for Crystallography comprises more than 6,000 pages including nearly 2,000 pages of symmetry tables which are vital for the analysis of crystal structures: Volume A: Space-group symmetry, 5e Volume A1: Symmetry relations between space groups, 2e Volume B: Reciprocal space, 3e Volume C: Mathematical, physical and chemical tables, 3e Volume D: Physical properties of crystals, 2e Volume E: Subperiodic groups, 2e Volume F: Crystallography of biological macromolecules, 2e Volume G: Definition and exchange of crystallographic data This edition includes a new edition of Volume D, making International Tables the most up-to-date, dynamic, and comprehensive reference work available to crystallographers, and to all those who use crystallography across a wide range of fields.
Author: Uri Shmueli
Publisher: Springer Science & Business Media
ISBN: 9781402082054
Category : Science
Languages : en
Pages : 704
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Book Description
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.
