Fourier Methods in Crystallography
Author: G. N. Ramachandran
Publisher: John Wiley & Sons
Published: 1970
Total Pages: 288
ISBN-13:
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Author: G. N. Ramachandran
Publisher: John Wiley & Sons
Published: 1970
Total Pages: 288
ISBN-13:
DOWNLOAD EBOOKAuthor: Werner Nowacki
Publisher:
Published: 1962
Total Pages: 286
ISBN-13:
DOWNLOAD EBOOKAuthor: Henry Lipson
Publisher:
Published: 1958
Total Pages: 94
ISBN-13:
DOWNLOAD EBOOKAuthor: Carmelo Giacovazzo
Publisher: Oxford University Press, USA
Published: 2014
Total Pages: 433
ISBN-13: 0199686998
DOWNLOAD EBOOKThe book describes phasing techniques in modern crystallography. The main text is dedicated to their simple description, and further mathematical details are contained in the appendices. Practical aspects are described for each specific method, making it a useful tool for the daily work of practising crystallographers.
Author: J. S. Rollett
Publisher: Elsevier
Published: 2016-06-06
Total Pages: 267
ISBN-13: 1483181324
DOWNLOAD EBOOKComputing Methods in Crystallography is a collection of lectures delivered at a Summer School, held in Oxford in August 1962. The book presents the underlying mathematics and computing methods in crystallography. The text covers topics on the algebra required for the fundamental operations of transformation of coordinates, interpolation, approximation of trigonometric and exponential functions, solution of linear equations and derivation of latent roots and vectors; methods for calculation of structure factors, least-squares adjustment, and Fourier series evaluation; the theory and practice of intensity scaling and symmetry determination; and methods of direct phase determination. Crystallographers, physicists, and students in allied fields will find the book very useful.
Author: Uri Shmueli
Publisher: Springer Science & Business Media
Published: 2008-08-27
Total Pages: 704
ISBN-13: 9781402082054
DOWNLOAD EBOOKInternational 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.
Author: Uri Shmueli
Publisher: Oxford University Press
Published: 1995
Total Pages: 192
ISBN-13: 9780198559269
DOWNLOAD EBOOKModern structural applications of crystallography make extensive use of statistical methods, in particular the probability density function (pdf) of the magnitude of the structure factor. Similarly, direct methods of phase determination have been responsible for much of the success of crystallography - methods based on properties of joint pdfs. This monograph, from two authorities in the field of structure factor statics, presents a survey of techniques and theories in this field of research in a self-contained and consistent way, with an emphasis on the probabilistic principles involved.
Author: Edward Prince
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 234
ISBN-13: 3642975763
DOWNLOAD EBOOKCrystallographers 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: G. N. Ramachandran
Publisher:
Published: 1970
Total Pages: 0
ISBN-13:
DOWNLOAD EBOOKAuthor: Uri Shmueli
Publisher: International Union of Crystal
Published: 2007-06-07
Total Pages: 282
ISBN-13: 019921350X
DOWNLOAD EBOOKThis concise book is for chemists, material scientists, and physicists who deal with description of crystalline matter and the determination of its structure, and would like to gain more understanding of the principles involved. The main purpose of the book is to introduce the reader to principles of crystallographic symmetry, to discuss some traditional, as well as modern, experimental techniques, to formulate the phase problem of crystallography, and present in some detail themethods for its indirect and direct solution which are indispensable for further work. The book also contains discussions of structure-factor statistics, of value for resolving space-group ambiguities, and atomic displacement parameters which form an inseparable part of the structure. A discussion ofthe refinement of structural parameters, conventional, constrained and restrained, concludes the book. Derivations are, as far as possible, self contained and wherever mathematical detail might disrupt the line of reasoning the reader is referred to one of four appendices present in the book. The book is of course valuable for students of crystallography at a graduate and upper undergraduate level. No previous course on crystallography is a prerequisite for graduates in the above fields.