Vectors and Tensors in Crystallography

Vectors and Tensors in Crystallography

Author: Donald E. Sands

Publisher: Courier Dover Publications

Published: 2002

Total Pages: 0

ISBN-13: 9780486495163

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Ample instruction on vector and tensor manipulations in general coordinate systems, plus specific examples, applications. Emphasis on crystallographic applications, but methods are essential to any problems in nonorthogonal systems. 1982 edition.


Crystallography and Crystal Defects

Crystallography and Crystal Defects

Author: Anthony Kelly

Publisher: John Wiley & Sons

Published: 2000-04-17

Total Pages: 492

ISBN-13: 9780471720447

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Crystallography and Crystal Defects Revised Edition A. Kelly, Churchill College, Cambridge, UK G. W. Groves, Exeter College, Oxford, UK and P. Kidd, Queen Mary and Westfield College, University of London, UK The concepts of crystallography are introduced here in such a way that the physical properties of crystals, including their mechanical behaviour, can be better understood and quantified. A unique approach to the treatment of crystals and their defects is taken in that the often separate disciplines of crystallography, tensor analysis, elasticity and dislocation theory are combined in such a way as to equip materials scientists with knowledge of all the basic principles required to interpret data from their experiments. This is a revised and updated version of the widely acclaimed book by Kelly and Groves that was first published nearly thirty years ago. The material remains timely and relevant and the first edition still holds an unrivalled position at the core of the teaching of crystallography and crystal defects today. Undergraduate readers will acquire a rigorous grounding, from first principles, in the crystal classes and the concept of a lattice and its defects and their descriptions using vectors. Researchers will find here all the theorems of crystal structure upon which to base their work and the equations necessary for calculating interplanar spacings, transformation of indices and manipulations involving the stereographic projection and transformations of tensors and matrices.


The Basics of Crystallography and Diffraction

The Basics of Crystallography and Diffraction

Author: Christopher Hammond

Publisher: Oxford University Press, USA

Published: 2001

Total Pages: 352

ISBN-13: 9780198505525

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The present book provides a clear and comprehensive introduction to the topics of crystallography and diffraction for undergraduate and beginning graduate students and lecturers in physics, chemistry, materials and earth sciences, but will also be of interest to the layperson who wishes toknow about these topics beyond the level given in more general trade science books. The book shows how crystal structures may be built up from simple ideas of atomic packing and co-ordination, and develops the concepts of crystal symmetry, point and space groups by way of two-dimensional examples ofpatterns and tilings. Furthermore, the concept of the reciprocal lattice is explained in simple terms and its importance in an understanding of light, x-ray and electron diffraction shown. Finally, the book covers practical examples of the applications of these techniques, and describes theimportance of diffraction in the performance of optical instruments. For this second edition, the existing material has been thoroughly updated, additional figures and exercises have been supplied and two new chapters added. From reviews on the 1/e: '... This is a timely, well-constructed bookwhich should be seriously considered by every teacher of crystallography and can be recommended to anyone who wants to get to grips with crystallography and diffraction.' P. Goodhew, Journal of Microscopy, June 1998 'IUCr publications have always been outstanding for quality of presentation andexposition and this book maintains that high standard.' J.E. Chisholm, Mineralogical Magazine, February 1998


Fundamentals of Crystallography

Fundamentals of Crystallography

Author: Carmelo Giacovazzo

Publisher: Oxford University Press, USA

Published: 2002

Total Pages: 860

ISBN-13: 9780198509585

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In recent years crystallographic techniques have found applications in a wide range of subjects, and these applications in turn have led to exciting developments in the field of crystallography itself. This completely revised text offers a rigorous treatment of the theory and describes experimental applications in many fields: crystal symmetry, crystallographic computing, X-ray diffraction, crystal structure solution, mineral and inorganic crystal chemistry, protein crystallography, crystallography of real crystals, and crystal physics. A set of pedagogical tools on CD-ROM has been added to this new edition.


Biomolecular Crystallography

Biomolecular Crystallography

Author: Bernhard Rupp

Publisher: Garland Science

Published: 2009-10-20

Total Pages: 832

ISBN-13: 1134064195

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Synthesizing over thirty years of advances into a comprehensive textbook, Biomolecular Crystallography describes the fundamentals, practices, and applications of protein crystallography. Illustrated in full-color by the author, the text describes mathematical and physical concepts in accessible and accurate language. Biomolecular Crystallography will be a valuable resource for advanced undergraduate and graduate students and practitioners in structural biology, crystallography, and structural bioinformatics.


Introduction to Crystallography

Introduction to Crystallography

Author: Donald E. Sands

Publisher: Courier Corporation

Published: 2012-06-14

Total Pages: 196

ISBN-13: 0486136809

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Clear, concise explanation of logical development of basic crystallographic concepts. Topics include crystals and lattices, symmetry, x-ray diffraction, and more. Problems, with answers. 114 illustrations. 1969 edition.


Crystallography Applied to Solid State Physics

Crystallography Applied to Solid State Physics

Author: A. R. Verma

Publisher: New Age International

Published: 1991

Total Pages: 498

ISBN-13: 9788122403213

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A Course On Crystallography Is A Necessary Beginning For All Solid State Physics Courses, Since The Student Must Have A Clear Concept Of The Crystallographic Methods And Principles Before Proceeding To Learn The Physics Of Solids. The Present Authors Have Earlier Written The Book Entitled Crystallography For The Solid State Physics (Wiley 1982). The Book Proved Very Popular With The Students And Reviewers Also Highly Commended The Book, (E.G. One Of The Reviewers Termed It As A Treasure Chest Of Knowledge In Crystallography). However, It Has Been Felt That Solid State Physics Component In The Earlier Book Was Rather Too Little In Content. The Present Book Is An Attempt To Enlarge This Content So As To Provide Solid State Portion Its Due Share. To Accomplish This Already Existing Chapters On Solid State Have Been Enlarged And Some New Chapters Have Been Added. The Book S Intended To Serve As An Introductory Text For All Graduate And Undergraduate Students Whose Eventual Aim Is To Specialise In Solid State Physics.


Properties of Materials

Properties of Materials

Author: Robert E. Newnham

Publisher: Oxford University Press

Published: 2005

Total Pages: 391

ISBN-13: 0198520751

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Crystals are sometimes called 'Flowers of the Mineral Kingdom'. In addition to their great beauty, crystals and other textured materials are enormously useful in electronics, optics, acoustics and many other engineering applications. This richly illustrated text describes the underlying principles of crystal physics and chemistry, covering a wide range of topics and illustrating numerous applications in many fields of engineering using the most important materials today. Tensors, matrices, symmetry and structure-property relationships form the main subjects of the book. While tensors and matrices provide the mathematical framework for understanding anisotropy, on which the physical and chemical properties of crystals and textured materials often depend, atomistic arguments are also needed to quantify the property coefficients in various directions. The atomistic arguments are partly based on symmetry and partly on the basic physics and chemistry of materials. After introducing the point groups appropriate for single crystals, textured materials and ordered magnetic structures, the directional properties of many different materials are described: linear and nonlinear elasticity, piezoelectricity and electrostriction, magnetic phenomena, diffusion and other transport properties, and both primary and secondary ferroic behavior. With crystal optics (its roots in classical mineralogy) having become an important component of the information age, nonlinear optics is described along with the piexo-optics, magneto-optics, and analogous linear and nonlinear acoustic wave phenomena. Enantiomorphism, optical activity, and chemical anisotropy are discussed in the final chapters of the book.


International Tables for Crystallography, Volume B

International Tables for Crystallography, Volume B

Author: Uri Shmueli

Publisher: Springer Science & Business Media

Published: 2008-08-27

Total Pages: 704

ISBN-13: 9781402082054

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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.