Download or read book Symmetry Relationships Between Crystal Structures written by Ulrich Müller and published by Oxford University Press. This book was released on 2013-04-04 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Crystals and Crystal Structures written by Richard J. D. Tilley and published by John Wiley & Sons. This book was released on 2020-08-03 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authoritative, updated text that offers an introduction to crystals and crystal structure with coverage of crystallography, and microscopy of materials Written in a friendly, non-mathematical style, the updated second edition of Crystals and Crystal Structures offers a comprehensive exploration of the key elements of crystals and crystal structures. Starting with the basics, it includes information on multiple areas of crystallography, including modulated structures, quasicrystals and protein crystallography, and interdisciplinary applications as diverse as the relationship between physical properties and symmetry. To enhance comprehension of the material presented, the book contains a variety of problems and exercises. The revised second edition offers new material and updates in the field including: An introduction to the use of high intensity X-ray analysis of protein structures Advances in imaging, scanning electron microscopy, and cryo-electron microscopy The relationship between symmetry and physical properties highlighting new findings and an introduction to tensor notation in describing these relationships in a concise fashion Nanoparticles as well as crystallographic aspects, defects, surface defects and the impact of these crystallographic features on properties Perovskite structures and their variations and the inclusion of their wide-ranging properties Written for students ofcrystallography, chemistry, physics, materials science, biosciences and geology, Crystals and Crystal Structures, Second Edition provides an understanding of the subject and enables students to read scientific papers and articles describing a crystal structure or use crystallographic databases.
Download or read book Crystal Structures written by Michael O'Keeffe and published by Courier Dover Publications. This book was released on 2020-04-15 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Symmetry Relationships between Crystal Structures written by Ulrich Müller and published by OUP Oxford. This book was released on 2013-04-04 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: In crystal chemistry and crystal physics, the relations between the symmetry groups (space groups) of crystalline solids are of special importance. Part 1 of this book presents the necessary mathematical foundations and tools: the fundamentals of crystallography with special emphasis on symmetry, the theory of the crystallographic groups, and the formalisms of the needed crystallographic computations. Part 2 gives an insight into applications to problems in crystal chemistry. With the aid of numerous examples, it is shown how crystallographic group theory can be used to make evident relationships between crystal structures, to set up a systematic order in the huge amount of known crystal structures, to predict crystal structures, to analyse phase transitions and topotactic reactions in the solid state, to understand the formation of domains and twins in crystals, and to avoid errors in crystal structure determinations. A broad range of end-of-chapter exercises offers the possibility to apply the learned material. Worked-out solutions to the exercises can be found at the end of the book.
Download or read book Symmetry of Crystals and Molecules written by Marcus Frederick Charles Ladd and published by Oxford University Press, USA. This book was released on 2014 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: An eminently readable book on the symmetry of crystals and molecules, starting from first principles
Download or read book International Tables for Crystallography Symmetry Relations Between Space Groups written by Hans Wondratschek and published by John Wiley & Sons. This book was released on 2004-09-13 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Structure of Materials written by Marc De Graef and published by Cambridge University Press. This book was released on 2012-10-08 with total page 773 pages. Available in PDF, EPUB and Kindle. Book excerpt: This highly readable, popular textbook for upper undergraduates and graduates comprehensively covers the fundamentals of crystallography and symmetry, applying these concepts to a large range of materials. New to this edition are more streamlined coverage of crystallography, additional coverage of magnetic point group symmetry and updated material on extraterrestrial minerals and rocks. New exercises at the end of chapters, plus over 500 additional exercises available online, allow students to check their understanding of key concepts and put into practice what they have learnt. Over 400 illustrations within the text help students visualise crystal structures and more abstract mathematical objects, supporting more difficult topics like point group symmetries. Historical and biographical sections add colour and interest by giving an insight into those who have contributed significantly to the field. Supplementary online material includes password-protected solutions, over 100 crystal structure data files, and Powerpoints of figures from the book.
Download or read book Crystallography and the World of Symmetry written by Sanat K. Chatterjee and published by Springer Science & Business Media. This book was released on 2008-09-19 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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”.
Download or read book Symmetry and Physical Properties of Crystals written by Cécile Malgrange and published by Springer. This book was released on 2014-12-04 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Structure and Chemistry of Crystalline Solids written by Bodie Douglas and published by Springer Science & Business Media. This book was released on 2007-03-20 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understandable by anyone concerned with crystals or solid state properties dependent on structure Presents a general system using simple notation to reveal similarities and differences among crystal structures More than 300 selected and prepared figures illustrate structures found in thousands of compounds
Download or read book International Tables for Crystallography Volume A1 Symmetry Relations Between Space Groups written by Hans Wondratschek and published by Springer London. This book was released on 2008-08-01 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Basics of Crystallography and Diffraction written by Christopher Hammond and published by OUP Oxford. This book was released on 2009-05-07 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a clear introduction to topics which are essential to students in a wide range of scientific disciplines but which are otherwise only covered in specialised and mathematically detailed texts. It shows how crystal structures may be built up from simple ideas of atomic packing and co-ordination, it develops the concepts of crystal symmetry, point and space groups by way of two dimensional examples of patterns and tilings, it explains the concept of the reciprocal lattice in simple terms and shows its importance in an understanding of light, X-ray and electron diffraction. Practical examples of the applications of these techniques are described and also the importance of diffraction in the performance of optical instruments. The book is also of value to the general reader since it shows, by biographical and historical references, how the subject has developed and thereby indicates some of the excitement of scientific discovery.
Download or read book Introduction to Crystallography written by Frank Hoffmann and published by Springer Nature. This book was released on 2020-07-31 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Crystallography written by Anthony Michael Glazer and published by Oxford University Press. This book was released on 2016 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: A long history -- Symmetry -- Crystal structures -- Diffraction -- Seeing atoms -- Sources of radiation
Download or read book Properties of Materials written by Robert E. Newnham and published by Oxford University Press on Demand. This book was released on 2005 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tensors, matrices, symmetry, and structure-property relationships form the main subjects of the book. While tensors and matrices provide the mathematical framework for understanding anistropy, on which the physical and chemical properties of crystals and textured materials often depend, atomistic arguments are also needed to qualify the property coefficients in various directions. The atomistic arguments are partly based on symmetry and party on the basic physics and chemistry of materials.
Download or read book Structure and Bonding in crystals written by Michael O'Keeffe and published by Elsevier. This book was released on 2012-12-02 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Structure and Bonding in Crystals presents a new understanding of the older topics such as bond length, bond strength, and ionic radii. These concepts have been used by geochemists and geophysicists to systematize and predict phase transitions at high pressure. The final group of chapters deals with the problems of classifying complex solids and with systematic descriptions of the relationships between their structures. This book comprises 13 chapters, with the first presenting a historical perspective by Linus Pauling. The following chapters then go on to discuss quantum theory and crystal chemistry; pseudopotentials and crystal structure; quantum-defect orbital radii and the structural chemistry of simple solids; and a pseudopotential viewpoint of the electronic and structural properties of crystals. Other chapters cover elementary quantitative theory of chemical bonding; the role and significance of empirical and semiempirical correlations; theoretical probes of bonding in the disiloxy group; a comparison of experimental and theoretical bond length and angle variations; the role of nonbonded forces in crystals; molecules within infinite solids; charge density distributions; and some aspects of the ionic model of crystals. This book will be of interest to practitioners in the fields of chemistry, physics, and geology.
Download or read book Modern Perspectives in Inorganic Crystal Chemistry written by Erwin Parthé and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of crystal structures has had an ever increasing impact on many fields of science such as physics, chemistry, biology, materials science, medicine, pharmacy, metallurgy, mineralogy and geology. Particularly, with the advent of direct methods of structure determination, the data on crystal structures are accumulating at an unbelievable pace and it becomes more and more difficult to oversee this wealth of data. A crude rationalization of the structures of organic compounds and the atom coordinations can be made with the well-known Kekule model, however, no such generally applicable model exists for the structures of inorganiC and particularly intermetallic compounds. There is a need to rationalize the inorganic crystal structures, to find better ways of describing them, of denoting the geometrical relationships between them, of elucidating the electronic factors and of explaining the bonding between the atoms with the aim of not only having a better understanding of the known structures, but also of predicting structural features of new compounds.
