Dynamical Theory of Crystal Lattices PDF Download

Author: Max Born
Publisher:
ISBN:
Category : Crystal lattices
Languages : en
Pages : 444

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Book Description

Author: M Ladd
Publisher: Horwood Publishing
ISBN: 9781898563631
Category : Science
Languages : en
Pages : 198

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Book Description
This book presents and discusses those common crystal structures that would be encountered by students taking chemistry, or any subject within which chemistry forms a significant component. With many worked examples and a wide selection of problems with solutions. Includes instructions for making simple stereoviewers and computer programs, in a thorough treatment of binary alloys and three-dimensional packing in molecular solids.

Author: M. F. C. Ladd
Publisher: Springer Science & Business Media
ISBN: 1461579333
Category : Science
Languages : en
Pages : 404

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Book Description
Crystallography may be described as the science of the structure of materi als, using this word in its widest sense, and its ramifications are apparent over a broad front of current scientific endeavor. It is not surprising, therefore, to find that most universities offer some aspects of crystallography in their undergraduate courses in the physical sciences. It is the principal aim of this book to present an introduction to structure determination by X-ray crystal lography that is appropriate mainly to both final-year undergraduate studies in crystallography, chemistry, and chemical physics, and introductory post graduate work in this area of crystallography. We believe that the book will be of interest in other disciplines, such as physics, metallurgy, biochemistry, and geology, where crystallography has an important part to play. In the space of one book, it is not possible either to cover all aspects of crystallography or to treat all the subject matter completely rigorously. In particular, certain mathematical results are assumed in order that their applications may be discussed. At the end of each chapter, a short bibliog raphy is given, which may be used to extend the scope of the treatment given here. In addition, reference is made in the text to specific sources of information. We have chosen not to discuss experimental methods extensively, as we consider that this aspect of crystallography is best learned through practical experience, but an attempt has been made to simulate the interpretive side of experimental crystallography in both examples and exercises.

Author: Richard A Dunlap
Publisher: Morgan & Claypool Publishers
ISBN: 1643273388
Category : Technology & Engineering
Languages : en
Pages : 125

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Book Description
For many years, evidence suggested that all solid materials either possessed a periodic crystal structure as proposed by the Braggs or they were amorphous glasses with no long-range order. In the 1970s, Roger Penrose hypothesized structures (Penrose tilings) with long-range order which were not periodic. The existence of a solid phase, known as a quasicrystal, that possessed the structure of a three dimensional Penrose tiling, was demonstrated experimentally in 1984 by Dan Shechtman and colleagues. Shechtman received the 2011 Nobel Prize in Chemistry for his discovery. The discovery and description of quasicrystalline materials provided the first concrete evidence that traditional crystals could be viewed as a subset of a more general category of ordered materials. This book introduces the diversity of structures that are now known to exist in solids through a consideration of quasicrystals (Part I) and the various structures of elemental carbon (Part II) and through an analysis of their relationship to conventional crystal structures. Both quasicrystals and the various allotropes of carbon are excellent examples of how our understanding of the microstructure of solids has progressed over the years beyond the concepts of traditional crystallography.

Author: A. Kitaigorodskii
Publisher: Springer Science & Business Media
ISBN: 1475703406
Category : Science
Languages : en
Pages : 285

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Book Description
Structure analysis is based on the phenomena of the diffraction of radia tion by materials. In the first ten to twenty years after Laue's discovery, a very complete theory was developed for the diffraction of x-rays and, later, of electrons. This theory led to equations by means of which it was possible to compute the intensity pattern for a given structure. The theory of structure analysis came to mean that of the diffraction of radiation. In 1935, Patterson pointed out a way leading to the solution of the inverse problem: the finding of the structure from a given intensity distribution pattern. At first the conservatism of researchers, and then the war, hampered the de velopment and broad application of the ideas set forth in this work. It was only during the last ten years that all the rich possibilities of the Patterson method - the method of the analysis of the convolution of the electron density - were brought to light and applied in practice.

Author: Werner Massa
Publisher: Springer Science & Business Media
ISBN: 3662042487
Category : Science
Languages : en
Pages : 210

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Book Description
A concise introduction to modern crystal structure determination, emphasizing both the crystallographic background and the successive practical steps. In the theoretical sections, more importance is attached to a good understanding, than to a rigorous mathematical treatment. The most important measuring techniques, including the use of modern area detectors, and the methods of data reduction, structure solution and refinement are discussed from a practical point of view. Special emphasis is put on the ability to recognize and avoid possible errors and traps, and to judge the quality of results.

Author: Arnold M. Kosevich
Publisher: John Wiley & Sons
ISBN: 3527606939
Category : Science
Languages : en
Pages : 356

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Book Description
The aim of this successful book is to describe and analyse peculiarities of classical and quantum dynamics of a crystal as a spatially periodic structure. In the second revised and updated edition, the author focuses on low-dimensional models of crystals and on superlattices. Both traditional questions like the spectrum of vibrations, the idea of phonon gas, dislocations etc. and new aspects like the theory of quantum crystals, solitons in 1D crystals, dislocation theory of melting of 2D crystals etc. are discussed. The author gives an explanation of a set of phenomena which entered into solid state physics during the last decades. It is shown that the crystal properties are sensitive to the dimension of the crystal and its defect structure, and depend slightly on whether the periodic structure consists of atoms, or electrical dipoles, or magnetic moments (spins). Considerable attention is devoted to the dislocation mechanisms as a basis of the theory of plasticity and numerous technological applications of crystalline materials.

Author: Paul Flowers
Publisher:
ISBN: 9781947172623
Category : Chemistry
Languages : en
Pages : 0

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Book Description
Chemistry 2e is designed to meet the scope and sequence requirements of the two-semester general chemistry course. The textbook provides an important opportunity for students to learn the core concepts of chemistry and understand how those concepts apply to their lives and the world around them. The book also includes a number of innovative features, including interactive exercises and real-world applications, designed to enhance student learning. The second edition has been revised to incorporate clearer, more current, and more dynamic explanations, while maintaining the same organization as the first edition. Substantial improvements have been made in the figures, illustrations, and example exercises that support the text narrative. Changes made in Chemistry 2e are described in the preface to help instructors transition to the second edition.

Author: Julian Goldsmid
Publisher: Morgan & Claypool Publishers
ISBN: 1681746425
Category : Science
Languages : en
Pages : 145

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Book Description
This book outlines the principles of thermoelectric generation and refrigeration from the discovery of the Seebeck and Peltier effects in the nineteenth century through the introduction of semiconductor thermoelements in the mid-twentieth century to the more recent development of nanostructured materials. It is shown that the efficiency of a thermoelectric generator and the coefficient of performance of a thermoelectric refrigerator can be related to a quantity known as the figure of merit. The figure of merit depends on the Seebeck coefficient and the ratio of the electrical to thermal conductivity. It is shown that expressions for these parameters can be derived from the band theory of solids. The conditions for favourable electronic properties are discussed. The methods for selecting materials with a low lattice thermal conductivity are outlined and the ways in which the scattering of phonons can be enhanced are described. The application of these principles is demonstrated for specific materials including the bismuth telluride alloys, bismuth antimony, alloys based on lead telluride, silicon-germanium and materials described as phonon-glass electron-crystals. It is shown that there can be advantages in using the less familiar transverse thermoelectric effects and the transverse thermomagnetic effects. Finally, practical aspects of thermoelectric generation and refrigeration are discussed. The book is aimed at readers who do not have a specialised knowledge of solid state physics.

Author: Donald E. Sands
Publisher: Courier Corporation
ISBN: 0486136809
Category : Science
Languages : en
Pages : 196

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Book Description
Clear, concise explanation of logical development of basic crystallographic concepts. Topics include crystals and lattices, symmetry, x-ray diffraction, and more. Problems, with answers. 114 illustrations. 1969 edition.