International Tables For Crystallography Space Group Symmetry

Author: Theo Hahn
Publisher: Wiley
ISBN: 0792365909
Size: 15.99 MB
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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. Volume A treats crystallographic symmetry in direct or physical space. It contains extensive tabulations and illustrations of the 17 plane groups, the 230 space groups and the 32 crystallographic point groups. Parts 1-5 of the volume present introductory material, including lists of symbols and terms, a guide to the use of the space-group tables, and the determination of space groups. Later parts discuss aspects of symmetry theory, such as crystal lattices and normalizers of space groups. Thoroughly updated and improved, the latest edition of Volume A includes an additional chapter on further properties of lattices.

Physical Properties Of Crystals

Author: André Authier
Publisher: Springer
ISBN: 9781402007149
Size: 40.27 MB
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International Tables for Crystallography Volume D: Physical Properties of Crystals is concerned with the influence of symmetry on the physical and tensor properties of crystals and on their structural phase transitions. This role is very important in many different disciplines of the science of materials such as crystallography, elasticity, solid-state physics, magnetism, optics, ferroelectricity and mineralogy.

International Tables For Crystallography Symmetry Relations Between Space Groups

Author: Hans Wondratschek
Publisher: John Wiley & Sons
ISBN: 9781402023552
Size: 32.30 MB
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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.

Symmetry In Crystallography

Author: Paolo Radaelli
Publisher: Oxford University Press
ISBN: 0199550654
Size: 43.88 MB
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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.

International Tables For Crystallography 5th Edition

Author: C. P. Brock
Publisher: Wiley
ISBN: 9781119362296
Size: 16.17 MB
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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, 6e 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 A, 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.

Physical Properties Of Crystals

Author: André Authier
Publisher: Springer
ISBN: 9781402007149
Size: 77.87 MB
Format: PDF, ePub, Mobi
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International Tables for Crystallography Volume D: Physical Properties of Crystals is concerned with the influence of symmetry on the physical and tensor properties of crystals and on their structural phase transitions. This role is very important in many different disciplines of the science of materials such as crystallography, elasticity, solid-state physics, magnetism, optics, ferroelectricity and mineralogy.

Symmetry And Physical Properties Of Crystals

Author: Cécile Malgrange
Publisher: Springer
ISBN: 9401789932
Size: 75.70 MB
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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.

Crystallography

Author: A. M. Glazer
Publisher: Oxford University Press
ISBN: 0198717598
Size: 52.40 MB
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Crystals have fascinated us for centuries with their beauty and symmetry, and have often been invested with magical powers. The use of X-ray diffraction, first pioneered in 1912 by father and son William and Lawrence Bragg, enabled us to probe the structure of molecules, and heralded the scientific study of crystals, leading to an understanding of their atomic arrangements at a fundamental level. The new discipline, called X-ray crystallography, has subsequently evolved into a formidable science that underpins many other scientific areas. Starting from the determination of the structures of very simple crystals, such as that of common salt, today it has become almost routine to determine the positions of tens of thousands of atoms in a crystal. In this Very Short Introduction Mike Glazer shows how the discoveries in crystallography have been applied to the creation of new and important materials, to drugs and pharmaceuticals and to our understanding of genetics, cell biology, proteins, and viruses. Tracing the history of crystallography, he analyses astonishing developments in new sources of X-rays, as well as of neutrons, and in electron microscopy, and considers the impact they have on the study of crystals today. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

Symmetry Relationships Between Crystal Structures

Author: Ulrich Müller
Publisher: Oxford University Press
ISBN: 0199669953
Size: 55.38 MB
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The book presents the basic information needed to understand and to organize the huge amount of known structures of crystalline solids. Its basis is crystallographic group theory (space group theory), with special emphasis on the relations between the symmetry properties of crystals.