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Author: Peter Engel
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110408384
Category : Science
Languages : en
Pages : 224
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Book Description
Author: Peter Engel
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110408384
Category : Science
Languages : en
Pages : 224
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Book Description
Author: Hideo Aoki
Publisher: Cambridge University Press
ISBN: 9780521643429
Category : Science
Languages : en
Pages : 426
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Book Description
Leading international researchers discuss the application of condensed matter physics to mineralogy and crystallography.
Author: Bozzano G Luisa
Publisher: Elsevier
ISBN: 0080934404
Category : Mathematics
Languages : en
Pages : 769
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Book Description
Handbook of Convex Geometry, Volume B offers a survey of convex geometry and its many ramifications and connections with other fields of mathematics, including convexity, lattices, crystallography, and convex functions. The selection first offers information on the geometry of numbers, lattice points, and packing and covering with convex sets. Discussions focus on packing in non-Euclidean spaces, problems in the Euclidean plane, general convex bodies, computational complexity of lattice point problem, centrally symmetric convex bodies, reduction theory, and lattices and the space of lattices. The text then examines finite packing and covering and tilings, including plane tilings, monohedral tilings, bin packing, and sausage problems. The manuscript takes a look at valuations and dissections, geometric crystallography, convexity and differential geometry, and convex functions. Topics include differentiability, inequalities, uniqueness theorems for convex hypersurfaces, mixed discriminants and mixed volumes, differential geometric characterization of convexity, reduction of quadratic forms, and finite groups of symmetry operations. The selection is a dependable source of data for mathematicians and researchers interested in convex geometry.
Author: Rick Ubic
Publisher: Springer Nature
ISBN: 303149752X
Category : Crystallography
Languages : en
Pages : 445
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Book Description
Zusammenfassung: This textbook introduces readers to the language, concepts, and tools of crystallography, as well as many aspects of crystal chemistry. Important topics, such as bonding, electronegativity, lattice energy, symmetry operations, crystal defects, and structure-property relationships are covered. Worked examples are included where appropriate. By uniquely combining elements of crystallography and crystal chemistry, the text is a useful and accessible resource for students across many disciplines. Chapter summaries and example problems are included to optimize use by students and faculty in both graduate and undergraduate curricula. Historical context to relevant discoveries and biographical sketches of many of the scientists involved in the development of this field are also provided to expand the student's knowledge of both solid-state science and scientists. Details how crystallography can be used to better understand the structure-property relationships of materials; Includes worked examples to reinforce topics explored; Provides a comprehensive examination of crystallography, crystal chemistry, and the overlap between the two
Author: B. K. Vainshtein
Publisher: Elsevier
ISBN: 1483299104
Category : Science
Languages : en
Pages : 330
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Book Description
Crystal Symmetries is a timely account of the progress in the most diverse fields of crystallography. It presents a broad overview of the theory of symmetry and contains state of the art reports of its modern directions and applications to crystal physics and crystal properties. Geometry takes a special place in this treatise. Structural aspects of phase transitions, correlation of structure and properties, polytypism, modulated structures, and other topics are discussed. Applications of important techniques, such as X-ray crystallography, biophysical studies, EPR spectroscopy, crystal optics, and nuclear solid state physics, are represented. Contains 30 research and review papers.
Author: P. Engel
Publisher: Springer Science & Business Media
ISBN: 9400947607
Category : Science
Languages : en
Pages : 273
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Book Description
In the last decade mathematical crystallography has found increasing interest. Siginificant results have been obtained by algebraic, geometric, and group theoretic methods. Also classical crystallography in three-dimen sional Euclidean space has been extended to higher dimen sions in order to understand better the dimension independent crystallographic properties. The aim of this note is to introduce the reader to the fascinating and rich world of geometric crystallography. The prerequisites for reading it are elementary geometry and topological notations, and basic knowledge of group theory and linear algebra. Crystallography is geometric by its nature. In many cases, geometric arguments are the most appropriate and can thus best be understood. Thus the geometric point of view is emphasized here. The approach is axiomatic start ing from discrete point sets in Euclidean space. Symmetry comes in very soon and plays a central role. Each chapter starts with the necessary definitions and then the subject is treated in two- and three-dimensional space. Subsequent sections give an extension to higher dimensions. Short historical remarks added at the end of the chapters will show the development of the theory. The chapters are main ly self-contained. Frequent cross references, as well as an extended subject index, will help the reader who is only interested in a particular subject.
Author: M. El-Batanouny
Publisher: Cambridge University Press
ISBN: 1139469517
Category : Science
Languages : en
Pages : 3
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Book Description
Unlike existing texts, this book blends for the first time three topics in physics - symmetry, condensed matter physics and computational methods - into one pedagogical textbook. It includes new concepts in mathematical crystallography; experimental methods capitalizing on symmetry aspects; non-conventional applications such as Fourier crystallography, color groups, quasicrystals and incommensurate systems; as well as concepts and techniques behind the Landau theory of phase transitions. Adopting a computational approach to the application of group theoretical techniques to solving symmetry related problems, it dramatically alleviates the need for intensive calculations usually found in the presentation of symmetry. Writing computer programs helps the student achieve a firm understanding of the underlying concepts, and sample programs, based on Mathematica, are presented throughout the book. Containing over 150 exercises, this textbook is ideal for graduate students in condensed matter physics, materials science, and chemistry. Solutions and computer programs are available online at www.cambridge.org/9780521828451.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 900
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Book Description
Author: Henryk Morawiec
Publisher: World Scientific
ISBN: 9789812702913
Category : Science
Languages : en
Pages : 448
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Book Description
This book aims to propagate the newest achievements of applied crystallography among crystallographers, solid state physicists and materials scientists. It presents application of structural studies to materials used in industrial practice rather than those associated with the crystal structure determination only. The proceedings have been selected for coverage in: . OCo Materials Science Citation Index-. OCo Index to Scientific & Technical Proceedings- (ISTP- / ISI Proceedings). OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). OCo CC Proceedings OCo Engineering & Physical Sciences. Contents: Ultra High Angle Double-Crystal X-Ray Diffractometry (U-HADOX) (A Okazaki & K Munakata); Microstructure and Lattice Defect Analysis of Highly Deformed Materials by XRD Line Profile Modelling (P Scardi); Beyond the Ability of Rietveld Analysis: Whole-Pattern Fitting Based on the Maximum-Entropy Method (F Izumi); Six-Dimensional Texture Analysis with High-Energy Synchrotron Radiation (H J Bunge); Present State of Knowledge on Quasicrystals (W Steurer); and other papers. Readership: Graduate students, academics and researchers in applied crystallography and materials science."
Author:
Publisher:
ISBN:
Category : Crystallography
Languages : en
Pages : 442
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Book Description
