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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.
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.
The year 2012 marked the centenary of one of the most significant discoveries of the early twentieth century, the discovery of X-ray diffraction (March 1912, by Laue, Friedrich and Knipping) and of Bragg's law (November 1912). The discovery of X-ray diffraction confirmed the wave nature of X-rays and the space-lattice hypothesis. It had two major consequences: the analysis of the structure of atoms, and the determination of the atomic structure of materials. This had a momentous impact in chemistry, physics, mineralogy, material science, biology and X-ray spectroscopy. The book relates the discovery itself, the early days of X-ray crystallography, and the way the news of the discovery spread round the world. It explains how the first crystal structures were determined by William Bragg and his son Lawrence, and recounts which were the early applications of X-ray crystallography in chemistry, mineralogy, materials science, physics, biological sciences and X-ray spectroscopy. It also tells how the concept of space lattice developed since ancient times up to the nineteenth century, and how our conception of the nature of light has changed over time. The contributions of the main actors of the story, prior to the discovery, at the time of the discovery and immediately afterwards, are described through their writings and are put into the context of the time, accompanied by brief biographical details. This thoroughly researched account on the multiple faces of a scientific specialty, X-ray crystallography, is aimed both at the scientists, who rarely subject the historical material of past discoveries in their field to particular scrutiny with regard to the historical details and at the historians of science who often lack the required expert knowledge to scrutinize the involved technical content in sufficient depth (M. Eckert - Metascience).
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.
The bond valence model, a description of acid-base bonding, is widely used for analysing and modelling the structures and properties of solids and liquids. Unlike other models of inorganic chemical bonding, the bond valence model is simple, intuitive, and predictive, and is accessible to anyone with a pocket calculator and a secondary school command of chemistry and physics. This new edition of 'The Chemical Bond in Inorganic Chemistry: The Bond Valence Model' shows how chemical properties arise naturally from the conflict between the constraints of chemistry and those of three-dimensional space. The book derives the rules of the bond valence model, as well as those of the traditional covalent, ionic and popular VSEPR models, by identifying the chemical bond with the electrostatic flux linking the bonded atoms. Most of the new edition is devoted to showing how to apply these ideas to real materials including crystals, liquids, glasses and surfaces. The work includes detailed examples of applications, and the final chapter explores the relationship between the flux and quantum theories of the bond.
Innovations in crystallographic instrumentation and the rapid development of methods of diffraction measurement have led to a vast improvement in our ability to determine crystal and molecular structure. This up-to-date resource will allow the reader to harness the potential of X-ray diffraction instruments. Different sources of X-radiation used in crystallography are introduced, including synchrotron radiation, as well as a systematic review of detectors for X-rays and basic instruments for single crystal and powder diffractometry. The principles of the diffraction experiment are discussed and related to their practical application with a comparative description of different scan procedures. Diffraction data collection and processing are also reviewed and methods for error correction are described. This book will provide a useful guide for researchers and students starting in this area of science, as well as skilled crystallographers.
The fascinating world of intermetallics is largely unexplored. There are many exciting physical properties and important technological applications of intermetallics, from magnetism to superconductivity. The main focus of this book is on the statistics, topology and geometry of crystal structures and structure types of intermetallic phases. The underlying physics, in particular chemical bonding, is discussed whenever it helps understand the stability of structures and the origin of their physical properties. The authors' approach, based on the statistical analysis of more than twenty thousand intermetallic compounds in the data base Pearson's Crystal Data, uncovers important structural relationships and illustrates the relative simplicity of most of the general structural building principles. It also shows that a large variety of actual structures can be related to a rather small number of aristotypes. The text aims to be readable and beneficial in one way or another to everyone interested in intermetallic phases, from graduate students to experts in solid state chemistry and physics, and materials science. For that purpose it avoids the use of enigmatic abstract terminology for the classification of structures. Instead, it focuses on the statistical analysis of crystal structures and structure types in order to draw together a larger overview of intermetallics, and indicate the gaps in it - areas still to be explored, and potential sources of worthwhile research. The text should be read as a reference guide to the incredibly rich world of intermetallic phases.
The three-dimensional arrangement of atoms and molecules in crystals and the comparable magnitude of x-ray wavelengths and interatomic distances make it possible for crystals to have more than one set of atomic planes that satisfy Bragg's law and simultaneously diffract an incident x-ray beam - this is the so-called multiple diffraction. This type of diffraction should, in prin ciple, reflect three-dimensional information about the structure of the dif fracting material. Recent progress in understanding this diffraction phenome non and in utilizing this diffraction technique in solid-state and materials sciences reveals the diversity as well as the importance of multiple diffraction of x-rays in application. Unfortunately, there has been no single book written that gives a sys tematic review of this type of diffraction, encompasses its diverse applica tions, and foresees future trends gf development. It is for this purpose that this book is designed. It is hoped that its appearance may possibly turn more attention of condensed-matter physicists, chemists and material scientists toward this particular phenomenon, and that new methods of non-destructive analysis of matter using this diffraction technique may be developed in the future.
When Hans Bethe, at the age of 97, asked his long-term collaborator, Gerry Brown, to explain his scientific work to the world, the latter knew that this was a steep task. As the late John Bahcall famously remarked: ?If you know his (Bethe's) work, you might be inclined to think he is really several people, all of whom are engaged in a conspiracy to sign their work with the same name?. Almost eight decades of original research, hundreds of scientific papers, numerous books, countless reports spanning the key areas of 20th century physics are the impressive record of Hans Bethe's academic work.In answering Bethe's request, the editors enlisted the help of experts in the different research fields, collaborators and friends of this ?last giant? of 20th century physics. Hans Bethe and His Physics is the result. It contains discussions of Hans Bethe's work in solid state physics, nuclear physics and astrophysics; it explains his contributions as a science advisor and his stance on energy and nuclear weapons; and it demonstrates his impact as a teacher and mentor to generations of young scientists. While the book's primary aim is to explain the science behind the man, the different articles also allow the reader to take a glimpse at the man behind the science.