Mathematical Techniques In Crystallography And Materials Science

Author : Edward Prince
Publisher : Springer Science & Business Media
Page : 224 pages
File Size : 43,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642187117

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Mathematical Techniques in Crystallography and Materials Science by Edward Prince Pdf

This practical guide and reference serves as a unified source book for students and professionals, and it provides a solid basis for further studies in more specialized literature. Based Prince’s decades of practical experience, it can be recommended as an introduction for beginners in crystallography, as a refresher and handy guide for crystallographers working on specific problems, and as a reference for others seeking a dictionary of basic mathematical and crystallographic terms. The third edition further clarifies key points.

Author : E. Prince
Publisher : Springer Science & Business Media
Page : 200 pages
File Size : 43,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781468401363

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Mathematical Techniques in Crystallography and Materials Science by E. Prince Pdf

In the course of 30 years as a practicing crystallographer I have frequently been faced with the necessity of finding out a little bit about some general branch of mathematics with which I was previously unfamiliar. Under these circumstances I have usually followed the common practice of seeking out some colleague who would be expected to have a thorough knowledge of the subject. I would then find myself faced either with an involved lecture in which the colleague would attempt to distill a lifetime of experience into a form that was comprehensible to a novice with a very different background, or with a book about the subject, written by a specialist, that contained far more information than I really wanted to know. I would have to separate the few kernels of useful material from a large volume of what would probably be wheat to someone else, but was chaff to me. In the course of that time I have acquired a collection of books to which I frequently refer. Most of these have a small number of thoroughly dog-eared pages, along with many that have scarcely been opened. During the same period I have been privileged to associate and collabo rate with a number of materials scientists who were not trained as crystal lographers, but whose interests required them to understand particular details of some structural problem.

Author : Edward Prince
Publisher : Unknown
Page : 223 pages
File Size : 42,8 Mb
Release : 2012-02
Category : Chemistry
ISBN : 364297578X

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Mathematical Techniques in Crystallography and Material Science by Edward Prince Pdf

Crystallographers have to apply many mathematical methods in their daily work. If ever they have a problem, this book will help to solve it. The newcomer starting work will learn how to apply these tools, the practicing crystallographer will find all the data and background material he wants to look up. In the decade since the first edition was published, new things have happened that required revision beyond correction of errors. Two chapters have been added: a section on the projection matrix and another on fast Fourier Transform. The author collected the information during his professional career. The success of the first edition indicates that many other practicing crystallographers just need exactly that information.

Author : H.-J. Bunge
Publisher : Elsevier
Page : 614 pages
File Size : 51,5 Mb
Release : 2013-09-03
Category : Technology & Engineering
ISBN : 9781483278391

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Texture Analysis in Materials Science by H.-J. Bunge Pdf

Texture Analysis in Materials Science Mathematical Methods focuses on the methodologies, processes, techniques, and mathematical aids in the orientation distribution of crystallites. The manuscript first offers information on the orientation of individual crystallites and orientation distributions. Topics include properties and representations of rotations, orientation distance, and ambiguity of rotation as a consequence of crystal and specimen symmetry. The book also takes a look at expansion of orientation distribution functions in series of generalized spherical harmonics, fiber textures, and methods not based on the series expansion. The publication reviews special distribution functions, texture transformation, and system of programs for the texture analysis of sheets of cubic materials. The text also ponders on the estimation of errors, texture analysis, and physical properties of polycrystalline materials. Topics include comparison of experimental and recalculated pole figures; indetermination error for incomplete pole figures; and determination of the texture coefficients from anisotropie polycrystal properties. The manuscript is a dependable reference for readers interested in the use of mathematical aids in the orientation distribution of crystallites.

Author : Susumu Ikeda,Motoko Kotani
Publisher : Springer
Page : 86 pages
File Size : 50,8 Mb
Release : 2015-12-08
Category : Mathematics
ISBN : 9784431558644

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A New Direction in Mathematics for Materials Science by Susumu Ikeda,Motoko Kotani Pdf

This book is the first volume of the SpringerBriefs in the Mathematics of Materials and provides a comprehensive guide to the interaction of mathematics with materials science. The anterior part of the book describes a selected history of materials science as well as the interaction between mathematics and materials in history. The emergence of materials science was itself a result of an interdisciplinary movement in the 1950s and 1960s. Materials science was formed by the integration of metallurgy, polymer science, ceramics, solid state physics, and related disciplines. We believe that such historical background helps readers to understand the importance of interdisciplinary interaction such as mathematics–materials science collaboration. The middle part of the book describes mathematical ideas and methods that can be applied to materials problems and introduces some examples of specific studies—for example, computational homology applied to structural analysis of glassy materials, stochastic models for the formation process of materials, new geometric measures for finite carbon nanotube molecules, mathematical technique predicting a molecular magnet, and network analysis of nanoporous materials. The details of these works will be shown in the subsequent volumes of this SpringerBriefs in the Mathematics of Materials series by the individual authors. The posterior section of the book presents how breakthroughs based on mathematics–materials science collaborations can emerge. The authors' argument is supported by the experiences at the Advanced Institute for Materials Research (AIMR), where many researchers from various fields gathered and tackled interdisciplinary research.

Author : Monte B. Boisen,Gerald V. Gibbs
Publisher : Walter de Gruyter GmbH & Co KG
Page : 472 pages
File Size : 47,8 Mb
Release : 2018-12-17
Category : Science
ISBN : 9781501508912

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Mathematical Crystallography by Monte B. Boisen,Gerald V. Gibbs Pdf

Volume 15 of Reviews in Mineralogy is written with two goals in mind. The first is to derive the 32 crystallographic point groups, the 14 Bravais lattice types and the 230 crystallographic space group types. The second is to develop the mathematical tools necessary for these derivations in such a manner as to lay the mathematical foundation needed to solve numerous basic problems in crystallography and to avoid extraneous discourses. To demonstrate how these tools can be employed, a large number of examples are solved and problems are given. The book is, by and large, self-contained. In particular, topics usually omitted from the traditional courses in mathematics that are essential to the study of crystallography are discussed. For example, the techniques needed to work in vector spaces with noncartesian bases are developed. Unlike the traditional group-theoretical approach, isomorphism is not the essential ingredient in crystallographic classification schemes. Because alternative classification schemes must be used, the notions of equivalence relations and classes which are fundamental to such schemes are defined, discussed and illustrated. For example, we will find that the classification of the crystallographic space groups into the traditional 230 types is defined in terms of their matrix representations. Therefore, the derivation of these groups from the point groups will be conducted using the 37 distinct matrix groups rather than the 32 point groups they represent.

Author : National Research Council,Division on Engineering and Physical Sciences,Commission on Physical Sciences, Mathematics, and Applications,Committee on Mathematical Sciences Applied to Materials Science
Publisher : National Academies Press
Page : 142 pages
File Size : 45,8 Mb
Release : 1993-02-01
Category : Technology & Engineering
ISBN : 9780309049306

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Mathematical Research in Materials Science by National Research Council,Division on Engineering and Physical Sciences,Commission on Physical Sciences, Mathematics, and Applications,Committee on Mathematical Sciences Applied to Materials Science Pdf

This book describes fruitful past collaborations between the mathematical and materials sciences and indicates future challenges. It seeks both to encourage mathematical sciences research that will complement vital research in materials science and to raise awareness of the value of quantitative methods. The volume encourages both communities to increase cross-disciplinary collaborations, emphasizing that each has much to gain from such an increase, and it presents recommendations for facilitating such work. This book is written for both mathematical and materials science researchers interested in advancing research at this interface; for federal and state agency representatives interested in encouraging such collaborations; and for anyone wanting information on how such cross-disciplinary, collaborative efforts can be accomplished successfully.

Author : Hans J. Bunge
Publisher : Unknown
Page : 593 pages
File Size : 41,9 Mb
Release : 1993
Category : Texture (Crystallography)
ISBN : 3928815814

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Texture Analysis in Materials Science by Hans J. Bunge Pdf

Author : E. Prince
Publisher : Springer Science & Business Media
Page : 1033 pages
File Size : 42,6 Mb
Release : 2004-01-31
Category : Science
ISBN : 9781402019005

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International Tables for Crystallography,Volume C by E. Prince Pdf

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). The purpose of Volume C is to provide the mathematical, physical and chemical information needed for experimental studies in structural crystallography. The volume 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. As such, it is an essential source of information for all workers using crystallographic techniques in physics, chemistry, metallurgy, earth sciences and molecular biology.

Author : E. Prince
Publisher : Wiley
Page : 0 pages
File Size : 49,8 Mb
Release : 2004-01-16
Category : Science
ISBN : 0470710292

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International Tables for Crystallography, Volume C by E. Prince Pdf

International Tables for Crystallography is the definitive resource and reference work for crystallography and structural science. Each of the 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 C provides the mathematical, physical and chemical information needed for experimental studies in structural crystallography. This volume covers all aspects of experimental techniques, using all three principal radiation types (X-ray, electron and neutron), from the selection and mounting of crystals and production of radiation, through data collection and analysis, to interpretation of results. Each chapter is supported by a substantial collection of references, and the volume ends with a section on precautions against radiation injury. Eleven chapters have been revised, corrected or updated for the third edition of Volume C. More information on the series can be found at: http://it.iucr.org

Author : J. Uria
Publisher : CRC Press
Page : 78 pages
File Size : 50,9 Mb
Release : 1999-08-19
Category : Science
ISBN : 9056992511

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Current Methods and Optimization Algorithms for the Refinement of X-Ray Crystal Structures by J. Uria Pdf

Author : Vitalij Pecharsky,Peter Zavalij
Publisher : Springer Science & Business Media
Page : 752 pages
File Size : 50,7 Mb
Release : 2003-05-31
Category : Technology & Engineering
ISBN : 1402073658

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Fundamentals of Powder Diffraction and Structural Characterization of Materials by Vitalij Pecharsky,Peter Zavalij Pdf

Requires no prior knowledge of the subject, but is comprehensive and detailed making it useful for both the novice and experienced user of the powder diffraction method. Useful for any scientific or engineering background, where precise structural information is required. Comprehensively describes the state-of-the-art in structure determination from powder diffraction data both theoretically and practically using multiple examples of varying complexity. Pays particular attention to the utilization of Internet resources, especially the well-tested and freely available computer codes designed for processing of powder diffraction data.

Author : Vitalij Pecharsky,Peter Zavalij
Publisher : Springer Science & Business Media
Page : 751 pages
File Size : 55,6 Mb
Release : 2008-11-24
Category : Science
ISBN : 9780387095790

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Fundamentals of Powder Diffraction and Structural Characterization of Materials, Second Edition by Vitalij Pecharsky,Peter Zavalij Pdf

A little over ?ve years have passed since the ?rst edition of this book appeared in print. Seems like an instant but also eternity, especially considering numerous developments in the hardware and software that have made it from the laboratory test beds into the real world of powder diffraction. This prompted a revision, which had to be beyond cosmetic limits. The book was, and remains focused on standard laboratory powder diffractometry. It is still meant to be used as a text for teaching students about the capabilities and limitations of the powder diffraction method. We also hope that it goes beyond a simple text, and therefore, is useful as a reference to practitioners of the technique. The original book had seven long chapters that may have made its use as a text - convenient. So the second edition is broken down into 25 shorter chapters. The ?rst ?fteen are concerned with the fundamentals of powder diffraction, which makes it much more logical, considering a typical 16-week long semester. The last ten ch- ters are concerned with practical examples of structure solution and re?nement, which were preserved from the ?rst edition and expanded by another example – R solving the crystal structure of Tylenol .

Author : Cesare Pisani
Publisher : Springer Science & Business Media
Page : 331 pages
File Size : 45,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642614781

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Quantum-Mechanical Ab-initio Calculation of the Properties of Crystalline Materials by Cesare Pisani Pdf

A number of general-purpose, reasonably accurate and well-tested ab-initio codes for crystals are discussed in this book. The aim is to expand competence of their application in material sciences and solid-state physics. The book addresses particularly readers with a general knowledge in quantum chemistry and intends to give a deeper insight into the special algorithms and computational techniques in ab-initio computer codes for crystals. Three different programs which are available to all interested potential users on request are presented.

Author : Kiyohiro Ikeda,Kazuo Murota
Publisher : Springer Nature
Page : 590 pages
File Size : 50,7 Mb
Release : 2019-09-25
Category : Science
ISBN : 9783030214739

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Imperfect Bifurcation in Structures and Materials by Kiyohiro Ikeda,Kazuo Murota Pdf

Most physical systems lose or gain stability through bifurcation behavior. This book explains a series of experimentally found bifurcation phenomena by means of the methods of static bifurcation theory.