Dynamical Theory Of X Ray Diffraction

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Dynamical Theory Of X Ray Diffraction

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Author : André Authier
language : en
Publisher: Oxford University Press, USA
Release Date : 2004

Dynamical Theory Of X Ray Diffraction written by André Authier and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Science categories.

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X Ray And Neutron Dynamical Diffraction

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Author : André Authier
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

X Ray And Neutron Dynamical Diffraction written by André Authier and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

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.

Application Of The Dynamical Theory Of X Ray Diffraction To Copperzinc

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Author : Readul Mahmud
language : en
Publisher: LAP Lambert Academic Publishing
Release Date : 2013

Application Of The Dynamical Theory Of X Ray Diffraction To Copperzinc written by Readul Mahmud and has been published by LAP Lambert Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.

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.

P P Ewald And His Dynamical Theory Of X Ray Diffraction

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Author : D. W. J. Cruickshank
language : en
Publisher:
Release Date : 2023

P P Ewald And His Dynamical Theory Of X Ray Diffraction written by D. W. J. Cruickshank and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with categories.

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.

P P Ewald And His Dynamical Theory Of X Ray Diffraction

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Author : Durward W. J. Cruickshank
language : en
Publisher:
Release Date : 1992

P P Ewald And His Dynamical Theory Of X Ray Diffraction written by Durward W. J. Cruickshank and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Science categories.

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.

Advances In Structure Research By Diffraction Methods

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Author : R. Brill
language : en
Publisher:
Release Date : 1970

Advances In Structure Research By Diffraction Methods written by R. Brill and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Diffraction categories.

Advances In Structure Research By Diffraction Methods

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Author : R. Brill
language : en
Publisher: Elsevier
Release Date : 2013-10-22

Advances In Structure Research By Diffraction Methods written by R. Brill and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Science categories.

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.

X Ray Multiple Wave Diffraction

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Author : Shih-Lin Chang
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

X Ray Multiple Wave Diffraction written by Shih-Lin Chang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Science categories.

X-ray multiple-wave diffraction, sometimes called multiple diffraction or N-beam diffraction, results from the scattering of X-rays from periodic two or higher-dimensional structures, like 2-d and 3-d crystals and even quasi crystals. The interaction of the X-rays with the periodic arrangement of atoms usually provides structural information about the scatterer. Unlike the usual Bragg reflection, the so-called two-wave diffraction, the multiply diffracted intensities are sensitive to the phases of the structure factors in volved. This gives X-ray multiple-wave diffraction the chance to solve the X-ray phase problem. On the other hand, the condition for generating an X ray multiple-wave diffraction is much more strict than in two-wave cases. This makes X-ray multiple-wave diffraction a useful technique for precise measure ments of crystal lattice constants and the wavelength of radiation sources. Recent progress in the application of this particular diffraction technique to surfaces, thin films, and less ordered systems has demonstrated the diver sity and practicability of the technique for structural research in condensed matter physics, materials sciences, crystallography, and X-ray optics. The first book on this subject, Multiple Diffraction of X-Rays in Crystals, was published in 1984, and intended to give a contemporary review on the fundamental and application aspects of this diffraction.

Dynamical Scattering Of X Rays In Crystals

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Author : Z.G. Pinsker
language : en
Publisher: Springer
Release Date : 2012-02-01

Dynamical Scattering Of X Rays In Crystals written by Z.G. Pinsker and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-01 with Science categories.

(Historical Survey) The discovery of X-ray diffraction in crystals by LAUE, FRIDRICH and KNIPPING in 1912 [1.1] served as the starting pOint for the development of scientific research along a number of important lines. We shall discuss just a few of them. The above discovery convincingly demonstrated the wave properties of X-rays. This, together with the previously established electromagnetic nature of radiation, confirmed the hypothesis that X-rays form the short-wave part of the electromagnetic spectrum. Further, this discovery was the first and decisive experimental proof of the periodic structure of crystals. In fact, theoretical crystallography had already arrived at this conclusion, mainly as an outcome of the theory of the space groups of symmetry elaborated by FEDOROV [1.2] and SCHOENFLIES [1.3]. From the optics of visible light we know that the radiation of a wave length of the same order as, and preferably less than, the period of a grat ing suffers diffraction on periodic objects of the type of optical grating. Thus, the discovery proved that the wavelength of an X-ray must be of the order of interatomic distances. It became clear why the visible light of wavelengths exceeding the crystal lattice periods by about 500 to 1000 times failed to reveal the periodic structure of crystals in diffraction experi ments.

Dynamical Scattering Of X Rays In Crystals

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Author : Z.G. Pinsker
language : en
Publisher: Springer
Release Date : 1978-04

Dynamical Scattering Of X Rays In Crystals written by Z.G. Pinsker and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-04 with Science categories.

(Historical Survey) The discovery of X-ray diffraction in crystals by LAUE, FRIDRICH and KNIPPING in 1912 [1.1] served as the starting pOint for the development of scientific research along a number of important lines. We shall discuss just a few of them. The above discovery convincingly demonstrated the wave properties of X-rays. This, together with the previously established electromagnetic nature of radiation, confirmed the hypothesis that X-rays form the short-wave part of the electromagnetic spectrum. Further, this discovery was the first and decisive experimental proof of the periodic structure of crystals. In fact, theoretical crystallography had already arrived at this conclusion, mainly as an outcome of the theory of the space groups of symmetry elaborated by FEDOROV [1.2] and SCHOENFLIES [1.3]. From the optics of visible light we know that the radiation of a wave length of the same order as, and preferably less than, the period of a grat ing suffers diffraction on periodic objects of the type of optical grating. Thus, the discovery proved that the wavelength of an X-ray must be of the order of interatomic distances. It became clear why the visible light of wavelengths exceeding the crystal lattice periods by about 500 to 1000 times failed to reveal the periodic structure of crystals in diffraction experi ments.