A publication of the French Society of Microscopies, Large-Angle Convergent-Beam Electron Diffraction Applications to Crystal Defects is devoted to an important aspect of electron diffraction. Convergent-beam diffraction is capable of furnishing remarkably accurate crystallographic information. In this book, the author goes well beyond a simple presentation of the method. The description of convergent-beam electron diffraction and especially of LACBED is preceded by several preparatory chapters, in which the principles of diffraction and the nature of electron-matter interactions are clearly set out. An entire chapter is concerned with instrumentation. Another on the interpretation of diffraction patterns enables the reader to master all stages in the process. The book ends with a long chapter in which numerous applications concerned with the characterization of crystal defects are examined and analyzed.

This book aims to provide expert guidance to researchers experienced in classical technology, as well as to those new to the field. A variety of perspectives on Photonic Crystal Fibres (PCFs) is presented together with a thorough treatment of the theoretical, physical and mathematical foundations of the optics of PCFs. The range of expertise of the authors is reflected in the depth of coverage, which will benefit those approaching the subject for a variety of reasons and from diverse backgrounds. The study of PCFs enables us to understand how best to optimize their applications in communication or sensing, as devices confining light via new mechanisms (such as photonic bandgap effects). It also assists us in understanding them as physically important structures which require a sophisticated mathematical analysis when considering questions related to the definition of effective refractive index, and the link between large finite systems and infinite periodic systems. This book offers access to essential information on foundation concepts of a dynamic and evolving subject. It is ideal for those who wish to explore further an emerging and important branch of optics and photonics.

Introduction to Liquid Crystals: Chemistry and Physics, Second Edition relies on only introductory level chemistry and physics as the foundation for understanding liquid crystal science. Liquid crystals combine the material properties of solids with the flow properties of fluids. As such they have provided the foundation for a revolution in low-power, flat-panel display technology (LCDs). In this book, the essential elements of liquid crystal science are introduced and explained from the perspectives of both the chemist and physicist. This new edition relies on only introductory level physics and chemistry as the foundation for understanding liquid crystal science and is, therefore, ideal for students and recent graduates. Features Introduces and explains the essential elements of liquid crystal science, including discussion of how liquid crystals have been utilized for innovative and important applications. New to this edition are over 300 figures, 90 end-of chapter exercises, and an increased scope that includes recent developments. Combines the knowledge of two eminent scientists in the field; they have fully updated and expanded the text to cover undergraduate/graduate course work as well as current research in what is now a billion-dollar industry. Immerses the reader in the vocabulary, structures, data, and kinetic models, rapidly building up an understanding of the theories and models in current use. Begins with a historical account of the discovery of liquid crystals and continues with a description of how different phases are generated and how different molecular architectures affect liquid crystal properties.

Given the widespread interest in macroscopic phenomena in liquid crystals, stemming from their applications in displays and devices, the need has arisen for a rigorous yet accessible text suitable for graduate students, whatever their scientific background. This book satisfies that need.
The approach taken in this text, is to introduce the basic continuum theory from nematic liquid crystals in equilibium, then it proceeds to simple application of this theory- in particular, there is a discussion of electric and magnetic field effects which give rise to Freedericksz transitions, which are important in devices. This is followed by an account of dynamic theory and elementary viscometry of nematics. Discussions of backflow and flow-induced instabilities are also included. Smetic theory is also briefly introduced, summarised, with with some examples of equilibrium solutions as well as dynamic effects. A number of mathematical techniques, such as Cartesian tensors and some variational calculus, are presented in the appendices.

Essentially there are two variational theories of liquid crystals explained in this book. The theory put forward by Zocher, Oseen and Frank is classical, while that proposed by Ericksen is newer in its mathematical formulation although it has been postulated in the physical literature for the past two decades. The newer theory provides a better explanation of defects in liquid crystals, especially of those concentrated on lines and surfaces, which escape the scope of the classical theory. The book opens the way to the wealth of applications that will follow.

Liquid crystals allow us to perform experiments that provide insight into fundamental problems of modern physics, such as phase transitions, frustration, elasticity, hydrodynamics, defects, growth phenomena, and optics. Smectic and Columnar Liquid Crystals: Concepts and Physical Properties Illustrated by Experiments is a result of personal research and of the graduate lectures given by the authors at the Ecole Normale Superieure de Lyon and the University of Paris VII, respectively. The book examines lamellar (smectic) and columnar liquid crystals, which, in addition to orientational order, possess 1D, 2D or 3D positional order. This volume illustrates original physical concepts using methodically numerous experiments, theoretical developments, and diagrams. Topics include rheology and plasticity, ferroelectricity, analogies with superconductors, hexatic order and 2D-melting, equilibrium shapes, facetting, and the Mullins-Sekerka instability, as well as phase transitions in free films and membrane vibrations. Nematic and cholesteric liquid crystals are covered by the authors in a separate volume entitled Nematic and Cholesteric Liquid Crystals: Concepts and Physical Properties Illustrated by Experiments. Smectic and Columnar Liquid Crystals is an ideal introduction and a valuable source of reference for theoretical and experimental studies of advanced students and researchers in liquid crystals, condensed matter physics, and materials science.

Crystal Growth of Si Ingots for Solar Cells Using Cast Furnaces is the first book written to both comprehensively describe these concepts and technologies and compare the strengths and weaknesses of various techniques. Readers will learn about the basic growth and characterization of Si crystals, including sections on the history of cast methods for Si ingots for solar cells. Methods discussed include the dendrite cast method, as well as other significant technologies, including the high-performance (HP) cast and mono-like cast methods. These concepts, growth mechanisms, growth technologies, and the problems that still need to be solved are all included in this comprehensive volume.

This book contains the contributions of 13 well known specialists in the field of solid state chemistry who had been invited as lecturers at a 1992 NATO Advanced Study Institute in Erice, Sicily. The chapters of a more general character concern the use of the space group - subgroup relationships for the recognition of structure families, the crystal chemical formulae (which is a way of denoting simple crystal chemical information in a condensed form), the concepts of atom co-ordination, atom volume and charge transfer and the physicist's view of the bond strength in the solid which is measured by the crystal orbital overlap population. It is demonstrated for the case of ionic compounds that the bond valence method is superior to the old sum-of-radii method for the prediction of interatomic distances. Simple valence electron rules can be applied fto compounds with tetrahedral anion complexes. These rules allow one not only to make predictions on expected structural features of unknown compounds, but also to point out inconsistencies between the reported structure and composition of known compounds. Detailed accounts are presented on the crystal chemistry of the superconducting copper oxides, the sulfosalts, the metal cluster compounds, the silicates and the transition metal borides and related compounds. In the case of intermetalic compounds the intergrowth concept is found to be very useful for an "understanding" of complicated atom arrangements. At the end of each chapter there can be found problems and their solutions. This makes it possible for (advanced) undergraduates in chemistry, physics, metallurgy, materials science and mineralogy to be able to profit from a study of this book.

Bent-Shaped Liquid Crystals: Structures and Physical Properties provides insight into the latest developments in the research on liquid crystals formed by bent-shaped mesogens. After a historical introduction, the expert authors discuss different kinds of mesophase structures formed by bent-shaped molecules. This book devotes the majority of its pages to physical properties such as polar switching, optics and non-linear optics, and behavior in restricted geometries. However, as chemistry is often highly relevant to the emergence of new phases, particularly with reflection symmetry breaking, it also involves a broad spectrum of interesting chemistry viewpoints.

Metallic Glass-Based Nanocomposites: Molecular Dynamics Study of Properties provides readers with an overview of the most commonly used tools for MD simulation of metallic glass composites and provides all the basic steps necessary for simulating any material on Materials Studio. After reading this book, readers will be able to model their own problems on this tool for predicting the properties of metallic glass composites. This book provides an introduction to metallic glasses with definitions and classifications, provides detailed explanations of various types of composites, reinforcements and matrices, and explores the basic mechanisms of reinforcement-MG interaction during mechanical loading. It explains various models for calculating the thermal conductivity of metallic glass composites and provides examples of molecular dynamics simulations. Aimed at students and researchers, this book caters to the needs of those working in the field of molecular dynamics (MD) simulation of metallic glass composites.

Understanding the mechanisms of crystallization processes on the molecular level is an essential step in the control of the formation of crystals. These crystals may be a desirable solid product or an undesirable precipitate. Crystallization Processes

• covers the theory, research, applications and control of crystallization processes from a homogeneous liquid to a solid phase.
• considers the behaviour of ions and molecules in homogeneous supersaturated solutions and also in liquid metals and ionic melts.
• discusses recent work on ionic solvation desolvation phenomena, association of ions and molecules in solution and precipitation and dissolution of crystals.
• includes the mechanism of crystallization of calcium carbonate and other simple inorganic electrolytes, amino acids, lipids and proteins.

The use of single crystals for scientific and technological applications is now widespread in solid-state physics, optics, electronics, materials science, and geophysics. An understanding of the variation of physical properties with crystalline direction is essential to maximize the performance of solid-state devices. Written from a physical viewpoint and avoiding advanced mathematics, Tensor Properties of Crystals provides a concise introduction to the tensor properties of crystals at a level suitable for advanced undergraduate and graduate students. While retaining the successful basic format of the well-known first edition, this second edition brings the material up to date with the latest developments in nonlinear optics and modulated structures. Because of the increasing importance of nonlinear optics, a new chapter on optoelectronics has been added. This edition also includes a short discussion on incommensurate modulated structures in the final chapter because they are relevant to high temperature superconductors and to ferroelectric and ferromagnetic materials. The book extensively contains diagrams, worked examples, and problems with answers throughout.

The use of single crystals for scientific and technological applications is now widespread in solid-state physics, optics, electronics, materials science, and geophysics. An understanding of the variation of physical properties with crystalline direction is essential to maximize the performance of solid-state devices.
Written from a physical viewpoint and avoiding advanced mathematics, Tensor Properties of Crystals provides a concise introduction to the tensor properties of crystals at a level suitable for advanced undergraduate and graduate students. While retaining the successful basic format of the well-known first edition, this second edition brings the material up to date with the latest developments in nonlinear optics and modulated structures. Because of the increasing importance of nonlinear optics, a new chapter on optoelectronics has been added. This edition also includes a short discussion on incommensurate modulated structures in the final chapter because they are relevant to high temperature superconductors and to ferroelectric and ferromagnetic materials. The book extensively contains diagrams, worked examples, and problems with answers throughout.

This book by Kaplan and Vekhter brings together the molecular world of the chemist with the condensed matter world of the physicist. Prior to the collapse of the Soviet Union, chemists in the West devoted lit to relationships between molecular electronic structure and tle attention solid-state vibronic phenomena. Treating quantum mechanical problems wherein the adiabatic Born-Oppenheimer approximation fails was done by "brute force. " With bigger and better computers available in the West, molecular orbital calculations were done on observed and conceived static structures with little concern for any cooperativity of vibrational behavior that might connect these states. While it had long been understood in the West that situations do occur in which different static structures are found for molecules that have identical or nearly identical electronic structures, little attention had been paid to understanding the vibrational states that could connect such structures. It was easier to calculate the electronic structure observed with several possible distortions than to focus on ways to couple electronic and vibrational behavior. In the former Soviet Union, computational power was not as acces sible as in the West. Much greater attention, therefore, was devoted to conserving computational time by considering fundamental ways to han dle the vibrational connectivity between degenerate or nearly degenerate electronic states.

Due to its interdisciplinary nature, crystallography is of major importance to a wide range of scientific disciplines including physics, chemistry, molecular biology, materials science and mineralogy. However, information is currently divided amongst traditional physics, chemistry and materials science books. This book collates previously disparate literature into one comprehensive and practical source, providing a thorough understanding of the information contained in crystallographic data files and the application of x-ray diffraction methods. The book has been written for final year and postgraduate students.

Symmetry exists in realms from crystals to patterns, in external shapes of living or non-living objects, as well as in the fundamental particles and the physical laws that govern them. In fact, the search for this symmetry is the driving force for the discovery of many fundamental particles and the formulation of many physical laws. While one can not imagine a world which is absolutely symmetrical nor can one a world which is absolutely asymmetrical. These two aspects of nature are intermingled with each other inseparably. This is the basis of the existence of aperiodicity manifested in the liquid crystals and also quasi-crystals also discussed in Crystallography and the World of Symmetry ."

This book gives a systematic overview on the scientific fundamentals of crystal growth from the classical phenomenological description to the recent theoretical contributions of statistical physics such as studies on surface roughening and on the pattern formation in the diffusion-limited growth.The book emphasizes physical concepts as well as mathematical details, and is intended to serve as lecture notes for postgraduate courses.

Electron Density and Bonding in Crystals: Principles, Theory and X-Ray Diffraction Experiments in Solid State Physics and Chemistry provides a comprehensive, unified account of the use of diffraction techniques to determine the distribution of electrons in crystals. The book discusses theoretical and practical techniques, the application of electron density studies to chemical bonding, and the determination of the physical properties of condensed matter.
The book features the authors' own key contributions to the subject as well a thorough, critical summary of the extensive literature on electron density and bonding. Logically organized, coverage ranges from the theoretical and experimental basis of electron density determination to its impact on investigations of the nature of the chemical bond and its uses in determining electromagnetic and optical properties of crystals. The main text is supplemented by appendices that provide clear, concise guidance on aspects such as systems of units, quantum theory of atomic vibrations, atomic orbitals, and creation and annihilation operators. The result is a valuable compendium of modern knowledge on electron density distributions, making this reference a standard for crystallographers, condensed matter physicists, theoretical chemists, and materials scientists.

Audience
Applied biomathematicians, orthopedists, clinical orthopedists.

This book gives a thorough treatment of the rapidly-expanding field of coherent x-ray optics, which has recently experienced something of a renaissance with the availability of third-generation synchrotron sources. It is the first book of its kind. The author begins with a treatment of the fundamentals of x-ray diffraction for both coherent and partially coherent radiation, together with the interactions of x-rays with matter. X-ray sources, optics elements and detectors are then discussed, with an emphasis on their role in coherent x-ray optics. Various facets of coherent x-ray imaging are then discussed, including holography, interferometry, self-imaging, phase contrast and phase retrieval. Lastly, the foundations of the new field of singular x-ray optics are examined. Most topics are developed from first principles, with numerous references given to the contemporary research literature. This book will be useful to x-ray physicists and students, together with optical physicists and engineers who wish to learn more about the fascinating subject of coherent x-ray optics.

Intended for researchers and students in physics, chemistry and materials science, this work aims to provide the necessary background information and sufficient mathematical and physical detail to study research literature in nuclear magnetic resonance studies of liquid crystals. This second edition, updated throughout, incorporates many new references, corrects typographical errors, and includes new mathematical appendices.

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.

This book, a continuation of the series "Advances in Materials Research," is intended to provide the general basis of the science and technology of crystal growth of silicon for solar cells. In the face of the destruction of the global environment,the degradationofworld-widenaturalresourcesandtheexha- tion of energy sources in the twenty-?rst century, we all have a sincere desire for a better/safer world in the future. In these days, we strongly believe that it is important for us to rapidly developanewenvironment-friendlycleanenergyconversionsystemusingsolar energyastheultimatenaturalenergysource. Forinstance,mostofournatural resources and energy sources will be exhausted within the next 100 years. Speci?cally, the consumption of oil, natural gas, and uranium is a serious problem. Solar energy is the only ultimate natural energy source. Although 30% of total solar energy is re?ected at the earth's surface, 70% of total solar energy can be available for us to utilize. The available solar energy amounts to severalthousand times larger than the world's energy consumption in 2000 of about 9,000 Mtoe (M ton oil equivalent). To manage 10% of the world's energy consumption at 2050 by solar energy, we must manufacture 40 GW solar cells per year continuously for 40 years. The required silicon feedstock is about 400,000 ton per year. We believe that this is an attainable target, since it can be realized by increasing the world production of silicon feedstock by 12times asmuchasthe presentproductionat2005.

International Tables for Crystallography is the definitive resource and reference work for crystallography and structural science. Each of the eight volumes in the series contains articles and tables of data relevant to crystallographic research and to applications of crystallographic methods in all sciences concerned with the structure and properties of materials. Emphasis is given to symmetry, diffraction methods and techniques of crystal-structure determination, and the physical and chemical properties of crystals. The data are accompanied by discussions of theory, practical explanations and examples, all of which are useful for teaching. Volume D is concerned with the influence of symmetry on the physical and tensor properties of crystals and on their structural phase transitions. This role is very important in many different disciplines of the science of materials such as crystallography, elasticity, solid-state physics, magnetism, optics, ferroelectricity and mineralogy, and Volume D deals with all these aspects in a unified way. The volume is divided into 3 parts: Part 1: Introduces the mathematical properties of tensors and group representations and gives their independent components for each of the crystallographic groups. Part 2: Devoted to the symmetry aspects of excitations in reciprocal space: phonons, electrons, Raman scattering and Brillouin scattering. Part 3: Deals with the symmetry aspects of structural phase transitions and twinning. A prominent feature is the joint description of twinning and domain structures, which are usually presented in completely separate ways in handbooks of physics and mineralogy. Supplementary software is provided to support and enhance Chapters 1.1 and 1.2 for the determination of irreducible group representations and tensor components, and Part 3 on structural phase transitions. New to this edition: This second edition of Volume D features a new chapter (Chapter 1.11) on the tensorial properties of local crystal susceptibilities, by V. E. Dmitrienko, A. Kirfel and E. N. Ovchinnikova. This chapter describes the symmetry and physical phenomena that allow and restrict forbidden reflections excited at radiation energies close to the X-ray absorption edges of atoms. Reflections caused by magnetic scattering are also discussed. In Part 1, Chapters 1.1 (an introduction to the properties of tensors), 1.2 (on representations of crystallographic groups), 1.3 (elastic properties), 1.5 (magnetic properties) and 1.10 (on tensors in quasiperiodic structures) have been revised. In particular, Chapter 1.5 features a new section on multiferroics by M. Kenzelmann. Chapter 3.3 on twinning of crystals has been updated and new sections on the effect of twinning in reciprocal space and on the relations between twinning and domain structure have been added. Chapter 3.4 on domain structures has also been updated. More information on the series can be found at: http://it.iucr.org

Liquid crystals allow us to perform experiments that provide insight into fundamental problems of modern physics, such as phase transitions, frustration, elasticity, hydrodynamics, defects, growth phenomena, and optics. Smectic and Columnar Liquid Crystals: Concepts and Physical Properties Illustrated by Experiments is a result of personal research and of the graduate lectures given by the authors at the Ecole Normale Superieure de Lyon and the University of Paris VII, respectively. The book examines lamellar (smectic) and columnar liquid crystals, which, in addition to orientational order, possess 1D, 2D or 3D positional order. This volume illustrates original physical concepts using methodically numerous experiments, theoretical developments, and diagrams. Topics include rheology and plasticity, ferroelectricity, analogies with superconductors, hexatic order and 2D-melting, equilibrium shapes, facetting, and the Mullins-Sekerka instability, as well as phase transitions in free films and membrane vibrations. Nematic and cholesteric liquid crystals are covered by the authors in a separate volume entitled Nematic and Cholesteric Liquid Crystals: Concepts and Physical Properties Illustrated by Experiments. Smectic and Columnar Liquid Crystals is an ideal introduction and a valuable source of reference for theoretical and experimental studies of advanced students and researchers in liquid crystals, condensed matter physics, and materials science.