Dynamical Theory of Crystal Lattices PDF Download

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

View

Book Description

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

View

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

View

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

View

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

View

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: Arnold M. Kosevich
Publisher: Wiley-VCH
ISBN:
Category : Science
Languages : en
Pages : 336

View

Book Description
Arnold M. Kossevich The Crystal Lattice Phonons, Solitons, Dislocations The goal of the book is to describe and analyse peculiarities of classical and quantum dynamics of a crystal as a spatially periodic structure. 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 few 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 mechanics as a basis of theory of plasticity and numerous technological applications of crystal materials.

Author: Marc De Graef
Publisher: Cambridge University Press
ISBN: 1139560476
Category : Technology & Engineering
Languages : en
Pages : 773

View

Book Description
This highly readable, popular textbook for upper undergraduates and graduates comprehensively covers the fundamentals of crystallography and symmetry, applying these concepts to a large range of materials. New to this edition are more streamlined coverage of crystallography, additional coverage of magnetic point group symmetry and updated material on extraterrestrial minerals and rocks. New exercises at the end of chapters, plus over 500 additional exercises available online, allow students to check their understanding of key concepts and put into practice what they have learnt. Over 400 illustrations within the text help students visualise crystal structures and more abstract mathematical objects, supporting more difficult topics like point group symmetries. Historical and biographical sections add colour and interest by giving an insight into those who have contributed significantly to the field. Supplementary online material includes password-protected solutions, over 100 crystal structure data files, and Powerpoints of figures from the book.

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

View

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: Richard J. D. Tilley
Publisher: John Wiley & Sons
ISBN: 9780470029534
Category : Science
Languages : en
Pages : 272

View

Book Description
Crystals and Crystal Structures is an introductorytext for students and others who need to understand the subjectwithout necessarily becoming crystallographers. Using the book willenable students to read scientific papers and articles describing acrystal structure or use crystallographic databases with confidenceand understanding. Reflecting the interdisciplinary nature of the subject the bookincludes a variety of applications as diverse as the relationshipbetween physical properties and symmetry, and molecular and proteincrystallography. As well as covering the basics the book containsan introduction to areas of crystallography, such as modulatedstructures and quasicrystals, and protein crystallography, whichare the subject of important and activeresearch. A non-mathematical introduction to the key elements of thesubject Contains numerous applications across a variety ofdisciplines Includes a range of problems and exercises Clear, direct writing style "…the book contains a wealth of information and itfulfils its purpose of providing an interesting and broadintroduction to the terpenes." CHEMISTRY WORLD, February2007

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

View

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.