Worked Examples in the Geometry of Crystals
Author: Harshad Kumar Dharamshi Hansraj Bhadeshia
Publisher: CRC Press
Published: 1987
Total Pages: 110
ISBN-13:
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Geometry of Crystals, Polycrystals, and Phase Transformations
Author: Harshad K. D. H. Bhadeshia
Publisher: CRC Press
Published: 2017-09-05
Total Pages: 334
ISBN-13: 1351629107
DOWNLOAD EBOOKOrganized into a two-part structure aimed at readers of differing experience levels, Geometry of Crystals, Polycrystals, and Phase Transformations is accessible to both newcomers and advanced researchers within the field of crystallography. The first part of the text covers what any reader in the material sciences, physics, chemistry, earth sciences and natural sciences in general should know about crystallography. It is intentionally concise and covers sufficient material to form a firm foundation. The second part is aimed at researchers and discusses phase transformations, deformations, and interface crystallography in depth. The phase transformations are limited to those dominated by crystallography. The entire book contains worked examples and uniquely deals not just with crystals but aggregates of crystals and solid-state transformations between crystals.
The Basics of Crystallography and Diffraction
Author: Christopher Hammond
Publisher: OUP Oxford
Published: 2015-05-29
Total Pages: 538
ISBN-13: 0191058688
DOWNLOAD EBOOKThis book provides a clear and very broadly based introduction to crystallography, light, X-ray and electron diffraction - a knowledge which is essential to students in a wide range of scientific disciplines but which is otherwise generally covered in subject-specific and more mathematically detailed texts. The text is also designed to appeal to the more general reader since it shows, by historical and biographical references, how the subject has developed from the work and insights of successive generations of crystallographers and scientists. The book shows how an understanding of crystal structures, both inorganic and organic may be built up from simple ideas of atomic and molecular packing. Beginning with (two dimensional) examples of patterns and tilings, the concepts of lattices, symmetry point and space groups are developed. 'Penrose' tilings and quasiperiodic structures are also included. The reciprocal lattice and its importance in understanding the geometry of light, X-ray and electron diffraction patterns is explained in simple terms, leading to Fourier analysis in diffraction, crystal structure determination, image formation and the diffraction-limited resolution in these techniques. Practical X-ray and electron diffraction techniques and their applications are described. A recurring theme is the common principles: the techniques are not treated in isolation. The fourth edition has been revised throughout, and includes new sections on Fourier analysis, Patterson maps, direct methods, charge flipping, group theory in crystallography, and a new chapter on the description of physical properties of crystals by tensors (Chapter 14).
X-Ray Diffraction Crystallography
Author: Yoshio Waseda
Publisher: Springer Science & Business Media
Published: 2011-03-18
Total Pages: 320
ISBN-13: 3642166350
DOWNLOAD EBOOKX-ray diffraction crystallography for powder samples is a well-established and widely used method. It is applied to materials characterization to reveal the atomic scale structure of various substances in a variety of states. The book deals with fundamental properties of X-rays, geometry analysis of crystals, X-ray scattering and diffraction in polycrystalline samples and its application to the determination of the crystal structure. The reciprocal lattice and integrated diffraction intensity from crystals and symmetry analysis of crystals are explained. To learn the method of X-ray diffraction crystallography well and to be able to cope with the given subject, a certain number of exercises is presented in the book to calculate specific values for typical examples. This is particularly important for beginners in X-ray diffraction crystallography. One aim of this book is to offer guidance to solving the problems of 90 typical substances. For further convenience, 100 supplementary exercises are also provided with solutions. Some essential points with basic equations are summarized in each chapter, together with some relevant physical constants and the atomic scattering factors of the elements.
Topological Crystallography
Author: Toshikazu Sunada
Publisher: Springer Science & Business Media
Published: 2012-12-23
Total Pages: 236
ISBN-13: 4431541772
DOWNLOAD EBOOKGeometry in ancient Greece is said to have originated in the curiosity of mathematicians about the shapes of crystals, with that curiosity culminating in the classification of regular convex polyhedra addressed in the final volume of Euclid’s Elements. Since then, geometry has taken its own path and the study of crystals has not been a central theme in mathematics, with the exception of Kepler’s work on snowflakes. Only in the nineteenth century did mathematics begin to play a role in crystallography as group theory came to be applied to the morphology of crystals. This monograph follows the Greek tradition in seeking beautiful shapes such as regular convex polyhedra. The primary aim is to convey to the reader how algebraic topology is effectively used to explore the rich world of crystal structures. Graph theory, homology theory, and the theory of covering maps are employed to introduce the notion of the topological crystal which retains, in the abstract, all the information on the connectivity of atoms in the crystal. For that reason the title Topological Crystallography has been chosen. Topological crystals can be described as “living in the logical world, not in space,” leading to the question of how to place or realize them “canonically” in space. Proposed here is the notion of standard realizations of topological crystals in space, including as typical examples the crystal structures of diamond and lonsdaleite. A mathematical view of the standard realizations is also provided by relating them to asymptotic behaviors of random walks and harmonic maps. Furthermore, it can be seen that a discrete analogue of algebraic geometry is linked to the standard realizations. Applications of the discussions in this volume include not only a systematic enumeration of crystal structures, an area of considerable scientific interest for many years, but also the architectural design of lightweight rigid structures. The reader therefore can see the agreement of theory and practice.
The Crystal Lattice
Author: Arnold M. Kosevich
Publisher: John Wiley & Sons
Published: 2006-05-12
Total Pages: 356
ISBN-13: 3527606939
DOWNLOAD EBOOKThe 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.
Introduction to Crystallography
Author: Frank Hoffmann
Publisher: Springer Nature
Published: 2020-07-31
Total Pages: 313
ISBN-13: 3030351106
DOWNLOAD EBOOKThis book invites you on a systematic tour through the fascinating world of crystals and their symmetries. The reader will gain an understanding of the symmetry of external crystal forms (morphology) and become acquainted with all the symmetry elements needed to classify and describe crystal structures. The book explains the context in a very vivid, non-mathematical way and captivates with clear, high-quality illustrations. Online materials accompany the book; including 3D models the reader can explore on screen to aid in the spatial understanding of the structure of crystals. After reading the book, you will not only know what a space group is and how to read the International Tables for Crystallography, but will also be able to interpret crystallographic specifications in specialist publications. If questions remain, you also have the opportunity to ask the author on the book's website.
Materials Processing Handbook
Author: Joanna R. Groza
Publisher: CRC Press
Published: 2007-03-28
Total Pages: 840
ISBN-13: 1420004824
DOWNLOAD EBOOKThe field of materials science and engineering is rapidly evolving into a science of its own. While traditional literature in this area often concentrates primarily on property and structure, the Materials Processing Handbook provides a much needed examination from the materials processing perspective. This unique focus reflects the changing comple
Principles of Inorganic Materials Design
Author: John N. Lalena
Publisher: John Wiley & Sons
Published: 2020-04-10
Total Pages: 724
ISBN-13: 1119486912
DOWNLOAD EBOOKLearn the fundamentals of materials design with this all-inclusive approach to the basics in the field Study of materials science is an important aspect of curricula at universities worldwide. This text is designed to serve students at a fundamental level, positioning materials design as an essential aspect of the study of electronics, medicine, and energy storage. Now in its 3rd edition, Principles of Inorganic Materials Design is an introduction to relevant topics including inorganic materials structure/property relations and material behaviors. The new edition now includes chapters on computational materials science, intermetallic compounds, and covalent compounds. The text is meant to aid students in their studies by providing additional tools to study the key concepts and understand recent developments in materials research. In addition to the many topics covered, the textbook includes: • Accessible learning tools to help students better understand key concepts • Updated content including case studies and new information on computational materials science • Practical end-of-chapter exercises to assist students with the learning of the material • Short biographies introducing pioneers in the field of inorganic materials science For undergraduates just learning the material or professionals looking to brush up on their knowledge of current materials design information, this text covers a wide range of concepts, research, and topics to help round out their education. The foreword to the first edition was written by the 2019 Chemistry Nobel laureate Prof. John B. Goodenough.
Introduction to Texture Analysis
Author: Olaf Engler
Publisher: CRC Press
Published: 2024-02-14
Total Pages: 697
ISBN-13: 1000997944
DOWNLOAD EBOOKReflecting emerging methods and the evolution of the field, Introduction to Texture Analysis: Macrotexture, Microtexture, and Orientation Mapping keeps mathematics to a minimum in covering both traditional macrotexture analysis and more advanced electron-microscopy-based microtexture analysis. The authors integrate the two techniques and address the subsequent need for a more detailed explanation of philosophy, practice, and analysis associated with texture analysis. The book illustrates approaches to orientation measurement and interpretation and elucidates the fundamental principles on which measurements are based. Thoroughly updated, this Third Edition of a best-seller is a rare introductory-level guide to texture analysis. Discusses terminology associated with orientations, texture, and their representation, as well as the diffraction of radiation, a phenomenon that is the basis for almost all texture analysis. Covers data acquisition, as well as representation and evaluation related to the well-established methods of macrotexture analysis. Updated to include experimental details of the latest transmission or scanning electron microscope-based techniques for microstructure analysis, including electron backscatter diffraction (EBSD). Describes how microtexture data are evaluated and represented and emphasizes the advances in orientation microscopy and mapping, and advanced issues concerning crystallographic aspects of interfaces and connectivity. Offers new and innovative grain boundary descriptions and examples. This book is an ideal tool to help readers in the materials sciences develop a working understanding of the practice and applications of texture.
