Download or read book Covariant Dynamical Theory of X Ray Diffraction written by Arthur Dyshekov and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proposed nonstandard diffraction theory is constructed directly from the Maxwell equations for the crystalline medium in the X-ray wavelength range. Analysis of Maxwell?s equations for dynamic diffraction is possible using the method of multiple scales which is modified to the vector character of the problem. In this case, the small parameter of the expansion is the Fourier component of the polarizability of the crystal. The second-order wave equation is analyzed without any assumptions about the possibility of the interaction between the refracted and scattered waves which automatically leads to the dynamic character of the scattering. The unified consideration of different geometrical schemes of diffraction including grazing geometry is possible. This is due to the construction of a unified wave field in the crystal and obtaining the field amplitudes according to the boundary conditions. The proposed theory allows generalization to the case of an imperfect crystal. Thus, a unified approach to account for deformations and other crystal structure disturbances in all diffraction schemes is implemented. The determination of a unified wave field without separation of the refracted and scattered waves is of the greatest importance in the analysis of secondary processes.
Download or read book X Ray and Neutron Dynamical Diffraction written by André Authier and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects the proceedings of the 23rd International Course of Crystallography, entitled "X-ray and Neutron Dynamical Diffraction, Theory and Applications," which took place in the fascinating setting of Erice in Sicily, Italy. It was run as a NATO Advanced Studies Institute with A. Authier (France) and S. Lagomarsino (Italy) as codirectors, and L. Riva di Sanseverino and P. Spadon (Italy) as local organizers, R. Colella (USA) and B. K. Tanner (UK) being the two other members of the organizing committee. It was attended by about one hundred participants from twenty four different countries. Two basic theories may be used to describe the diffraction of radiation by crystalline matter. The first one, the so-called geometrical, or kinematical theory, is approximate and is applicable to small, highly imperfect crystals. It is used for the determination of crystal structures and describes the diffraction of powders and polycrystalline materials. The other one, the so-called dynamical theory, is applicable to perfect or nearly perfect crystals. For that reason, dynamical diffraction of X-rays and neutrons constitutes the theoretical basis of a great variety of applications such as: • the techniques used for the characterization of nearly perfect high technology materials, semiconductors, piezoelectric, electrooptic, ferroelectric, magnetic crystals, • the X-ray optical devices used in all modem applications of Synchrotron Radiation (EXAFS, High Resolution X-ray Diffractometry, magnetic and nuclear resonant scattering, topography, etc. ), and • X-ray and neutron interferometry.
Download or read book Dynamical Theory of X ray Diffraction written by André Authier and published by Oxford University Press, USA. This book was released on 2004 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Download or read book Crystallography written by Takashiro Akitsu and published by BoD – Books on Demand. This book was released on 2019-09-04 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews both current research in and several principles of crystallography, not only for natural sciences, mathematics, physics, chemistry, biology, and earth sciences but also for applied engineering such as material and medical or pharmaceutical sciences. As a review book on crystallography, this book will help with theoretical considerations and understanding the basic theory of frontier experiments, among other topics.
Download or read book An Integral Equation Approach to the Dynamical Theory of X ray Diffraction written by Henry Fred Linebarger and published by . This book was released on 1970 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book X ray Diffraction written by Leonid V. Azároff and published by McGraw-Hill Companies. This book was released on 1974 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book P P Ewald and His Dynamical Theory of X ray Diffraction written by Durward W. J. Cruickshank and published by . This book was released on 1992 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paul Ewald's 1916-1917 masterpiece "On the Foundations of Crystal Optics" described the self-consistent interaction of electromagnetic waves with crystals on a molecular level. While astonishing in its detailed predictions for X-ray diffraction, full appreciation of the theory and its utility had to await much later advances in measurement techniques and crystal growth. Today, concepts introduced in the theory--now known as the Ewald sphere, Ewald summation, and Ewald-Oseen extinction--have become mainstays in diverse areas of modern physics. This memorial volume, with contributions by leading figures in the field, is an affectionate survey of Ewald's life, scientific work, and leading role in the international crystallographic community. Historians of science, and particularly of solid state physics and crystallography, will find this volume a compelling and fascinating tribute to this important scientist.
Download or read book Application of the Dynamical Theory of X Ray Diffraction to CopperZinc written by Readul Mahmud and published by LAP Lambert Academic Publishing. This book was released on 2013 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: X-ray diffraction technique have been using for a long time to understand the characteristics of various materials around the world. So it is important to understand the kinematics and dynamical theory and their applications in different cases. So dynamical theory of x-ray diffraction for both absorption and without absorption is developed and applied to thin, thick and intermediate thick CuZn alloy to obtain the diffraction patterns for both Bragg's and Laue's cases. The famous asymmetric curve is found when absorption is considered; the diffraction curve is symmetrical without absorption. It is found that the intensity increases but FWHM decreases for higher indices. Order-disorder transformation of CuZn binary alloy is also noticed for various temperatures. The atomic scattering factors of different elements are calculated to see the temperature effect. The temperature dependence of reflection lines are computed using Debye and Einstein approximation. Interestingly intensity of reflection lines decreases with the increase of temperature and indices for both cases. This book will be helpful for the student and researchers who want to understand and work on x-ray diffraction.
Download or read book Dynamical Theory of X ray Diffraction for the Study of Crystal Surfaces written by Toshio Takahashi and published by . This book was released on 1994 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Scherrer Equation and the Dynamical Theory of X ray Diffraction written by and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theoretical Concepts of X Ray Nanoscale Analysis written by Andrei Benediktovich and published by Springer Science & Business Media. This book was released on 2013-09-07 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a concise survey of modern theoretical concepts of X-ray materials analysis. The principle features of the book are: basics of X-ray scattering, interaction between X-rays and matter and new theoretical concepts of X-ray scattering. The various X-ray techniques are considered in detail: high-resolution X-ray diffraction, X-ray reflectivity, grazing-incidence small-angle X-ray scattering and X-ray residual stress analysis. All the theoretical methods presented use the unified physical approach. This makes the book especially useful for readers learning and performing data analysis with different techniques. The theory is applicable to studies of bulk materials of all kinds, including single crystals and polycrystals as well as to surface studies under grazing incidence. The book appeals to researchers and graduate students alike.
Download or read book Advances in Structure Research by Diffraction Methods written by R. Brill and published by Elsevier. This book was released on 2013-10-22 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Structure Research by Diffraction Methods reviews advances in the use of diffraction methods in structure research. Topics covered include the dynamical theory of X-ray diffraction, with emphasis on Ewald waves in theory and experiment; dynamical theory of electron diffraction; small angle scattering; and molecular packing. This book is comprised of four chapters and begins with an overview of the dynamical theory of X-ray diffraction, especially in terms of how it explains all the absorption and propagation properties of X-rays at the Bragg setting in a perfect crystal. The next chapter describes the dynamical theory of electron diffraction, paying particular attention to unconventional structure analysis in connection with the problems of absorption. The most important features of the background of small angle analysis are then examined, and some examples showing the direct analysis of small angle scattering (sometimes in combination with wide angle scattering) are provided. The last chapter deals with crystals built from molecules and their peculiar geometrical features. The principle of close packing of molecules in an organic crystal is also described, along with lattice dynamics, hydrogen bonds in crystals, and the rotational crystalline state. This monograph will be a useful resource for practitioners and researchers in physics and crystallography.
Download or read book P P Ewald and His Dynamical Theory of X ray Diffraction written by D. W. J. Cruickshank and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A tribute to Paul Ewald, whose work "On the Foundations of Crystal Optics" has many modern applications. Contributions to this volume are both scientific and biographical, and five key papers by Ewald from 1913, 1968, 1969, 1979 and 1986 are included.
Download or read book Ewald Waves in Theory and Experiment dynamical Theory of X Ray Diffraction written by A. Authier and published by . This book was released on 1970 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Application of the Dynamical Theory of X ray Diffraction to a Raytracing Code for Crystal Optics written by A. Pimpale and published by . This book was released on 1994 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book X Ray Diffraction for Materials Research written by Myeongkyu Lee and published by CRC Press. This book was released on 2017-03-16 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: X-ray diffraction is a useful and powerful analysis technique for characterizing crystalline materials commonly employed in MSE, physics, and chemistry. This informative new book describes the principles of X-ray diffraction and its applications to materials characterization. It consists of three parts. The first deals with elementary crystallography and optics, which is essential for understanding the theory of X-ray diffraction discussed in the second section of the book. Part 2 describes how the X-ray diffraction can be applied for characterizing such various forms of materials as thin films, single crystals, and powders. The third section of the book covers applications of X-ray diffraction. The book presents a number of examples to help readers better comprehend the subject. X-Ray Diffraction for Materials Research: From Fundamentals to Applications also • provides background knowledge of diffraction to enable nonspecialists to become familiar with the topics • covers the practical applications as well as the underlying principle of X-ray diffraction • presents appropriate examples with answers to help readers understand the contents more easily • includes thin film characterization by X-ray diffraction with relevant experimental techniques • presents a huge number of elaborately drawn graphics to help illustrate the content The book will help readers (students and researchers in materials science, physics, and chemistry) understand crystallography and crystal structures, interference and diffraction, structural analysis of bulk materials, characterization of thin films, and nondestructive measurement of internal stress and phase transition. Diffraction is an optical phenomenon and thus can be better understood when it is explained with an optical approach, which has been neglected in other books. This book helps to fill that gap, providing information to convey the concept of X-ray diffraction and how it can be applied to the materials analysis. This book will be a valuable reference book for researchers in the field and will work well as a good introductory book of X-ray diffraction for students in materials science, physics, and chemistry.
Download or read book X Ray Diffraction Topography written by B. K. Tanner and published by Elsevier. This book was released on 2013-10-22 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: X-Ray Diffraction Topography presents an elementary treatment of X-ray topography which is comprehensible to the non-specialist. It discusses the development of the principles and application of the subject matter. X-ray topography is the study of crystals which use x-ray diffraction. Some of the topics covered in the book are the basic dynamical x-ray diffraction theory, the Berg-Barrett method, Lang’s method, double crystal methods, the contrast on x-ray topography, and the analysis of crystal defects and distortions. The crystals grown from solution are covered. The naturally occurring crystals are discussed. The text defines the meaning of melt, solid state and vapour growth. An analysis of the properties of inorganic crystals is presented. A chapter of the volume is devoted to the characteristics of metals. Another section of the book focuses on the production of ice crystals and the utilization of oxides as laser materials. The book will provide useful information to chemists, scientists, students and researchers.
