This monograph provides the first extensive treatment of magnetic small-angle neutron scattering (SANS). The theoretical background required to compute magnetic SANS cross sections and correlation functions related to long-wavelength magnetization structures is laid out. The concepts are scrutinized based on the discussion of experimental neutron data. Regarding prior background knowledge, some familiarity with the basic magnetic interactions and phenomena as well as scattering theory is desired. Besides exposing the different origins of magnetic SANS, and furnishing the basics of the magnetic SANS technique in early chapters, a large part of the book is devoted to a comprehensive treatment of the continuum theory of micromagnetics, as it is relevant for the study of the elastic magnetic SANS cross section. Analytical expressions for the magnetization Fourier components allow to highlight the essential features of magnetic SANS and to analyze experimental data both in reciprocal, as well as in real space. Later chapters provide an overview on the magnetic SANS of nanoparticles and so-called complex systems (e.g., ferrofluids, magnetic steels, spin glasses and amorphous magnets). It is this subfield where major progress is expected to be made in the coming years, mainly via the increased usage of numerical micromagnetic simulations (Chapter 7), which is a very promising approach for the understanding of the magnetic SANS from systems exhibiting nanoscale spin inhomogeneity.

This textbook presents an extensive manual of crystallography, including geometric crystallography, crystallochemistry, and crystallophysics. Illustrated with a wealth of figures and diagrams, it offers a thorough introduction to crystals for undergraduate and graduate students interested in learning the essentials and advanced concepts of crystallography. The book begins with basic concepts such as the geometry, morphology and symmetry of lattices, allowing readers to approach the subject from a mathematical point of view, abstracting it from its material content. In turn, the second part focuses on crystallochemistry and explains the differences between ideal and real crystals, and between static and dynamic ones. The third part of the textbook concerns crystallophysics and addresses the electrical, magnetic, mechanical, elastic and optical properties of crystals, as well as the fundamental laws and methods of X-ray diffraction.

This book walks you through the fundamental deformation and damage mechanisms. It lends the reader the key to open the doors into the maze of deformation/fracture phenomena under various loading conditions. Furthermore it provides the solution method to material engineering design and analysis problems, for those working in the aerospace, automotive or energy industries. The book introduces the integrated creep-fatigue theory (ICFT) that considers holistic damage evolution from surface/subsurface crack nucleation to propagation in coalescence with internally-distributed damage/discontinuities.

The field of crystal engineering concerns the design and synthesis of molecular crystals with desired properties. This requires an in-depth understanding of the intermolecular interactions within crystal structures. This new book brings together the latest information and theories about intermolecular bonding, providing an introductory text for graduates. The book is divided into three parts. The first part covers the nature, physical meaning and methods for identification and analysis of intermolecular bonds. The second part explains the different types of bond known to occur in molecular crystals, with each chapter written by a specialist in that specific bond type. The final part discusses the cooperativity effects of different bond types present in one solid. This comprehensive textbook will provide a valuable resource for all students and researchers in the field of crystallography, materials science and supramolecular chemistry.

Liquid Crystal Sensors discusses novel applications of liquid crystals that lie beyond electrically driven optical switches and displays. The main focus is on recent progress in the area of sensors based on low molar mass and polymer liquid crystals. This area of research became "hot" in recent years since the possibilities for applications of liquid crystal sensors are growing in many areas, ranging from the detection of mechanical displacements to the detection of environmental pollutants and chemical agents. This book is well-suited for students, as well as scientists from different backgrounds. For students and researchers new to the field, it gives a thorough introduction. For experienced researchers it shows the latest breakthroughs and serves as an inspiration for solving problems or sparking new ideas. Key Features: Emphasizes how liquid crystals are extremely sensitive to external stimuli and therefore can be used for the construction of stimuli-responsive devices, such as sensors Includes the contributions of editors who are deeply involved in the field and author chapters on hot topics such as the sensitivity of liquid crystals to pollutants, UV light, and strain Provides an exclusive on LC sensors where having the data in one place will be very useful to the community Gives more information on sensors and broadens the scope by having a contributed volume rather than authored Combines recent data on advances in the area of liquid crystal sensors that includes many types of liquid crystal materials

'To summarise, Professor Ladd has written a highly engaging text designed to provide the underlying principles of crystal structure determination through X-ray diffraction data. This text would be most appropriate for an early stage postgraduate or researcher interested in learning both the underlying principles of crystallography and gaining some practice with structure-solving software.'Contemporary PhysicsDesigned for those who wish to understand and engage with the principles behind the process of crystal structure determination by X-ray diffraction, this title contains a comprehensive series of chapters, each of which concludes with a set of problems, for which solutions are provided. An ideal resource for senior undergraduates and early-stage postgraduates, The Essence of Crystallography has an accompanying website with programs written for the text, including an interactive simulation of crystal structure determination using prepared intensity data sets.

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).

The scanning tunneling microscope and the atomic force microscope, both capable of imaging and manipulating individual atoms, were crowned with the Nobel Prize in Physics in 1986, and are the cornerstones of nanotechnology today. The first edition of this book has nurtured numerous beginners and experts since 1993. The second edition is a thoroughly updated version of this 'bible' in the field. The second edition includes a number of new developments in the field. Non-contact atomic-force microscopy has demonstrated true atomic resolution. It enables direct observation and mapping of individual chemical bonds. A new chapter about the underlying physics, atomic forces, is added. The chapter on atomic force microscopy is substantially expanded. Spin-polarized STM has enabled the observation of local magnetic phenomena down to atomic scale. A pedagogical presentation of the basic concepts is included. Inelastic scanning tunneling microscopy has shown the capability of studying vibrational modes of individual molecules. The underlying theory and new instrumentation are added. For biological research, to increase the speed of scanning to observe life phenomena in real time is a key. Advances in this direction are presented as well. The capability of STM to manipulate individual atoms is one of the cornerstones of nanotechnology. The theoretical basis and in particular the relation between tunneling and interaction energy are thoroughly presented, together with experimental facts.

A complete account of the theory of the diffraction of X-rays by crystals, with particular reference to the processes of determining the structures of protein molecules. This book is aimed primarily at structural biologists and biochemists but will also be valuable to those entering the field with a background in physical sciences or chemistry. It may be used at any post-school level, and develops from first principles all relevant mathematics, diffraction and wave theory, assuming no mathematical knowledge beyond integral calculus. The book covers a host of important topics in the area, including: - The practical aspects of sample preparation and X-ray data collection, using both laboratory and synchrotron sources - Data analysis at both theoretical and practical levels - The important role played by the Patterson function in structure analysis, by both molecular replacement and experimental phasing approaches - Methods for improving the resulting electron density map - The theoretical basis of methods used in refinement of protein crystal structures - In-depth explanation of the crucial task of defining the binding sites of ligands and drug molecules - The complementary roles of other diffraction methods: these reveal further detail of great functional importance in a crystal structure.

Plasmonic nanoparticles (NPs) represent an outstanding class of nanomaterials that have the capability to localize light at the nanoscale by exploiting a phenomenon called localized plasmon resonance. The book is aimed at reviewing recent efforts devoted to utilize NPs in many research fields, such as photonics, optics, and plasmonics. In this framework, particular interest is devoted to active plasmonics, a quite broad concept that indicates those applications in which NPs play an active role, like realization of gain-assisted means, utilization of NPs embedded in liquid crystalline and flexible materials, and exploitation of renewable solar energy. The book puts together contributions from outstanding research groups in the field of plasmonic nanomaterials all over the world. It provides basic and advanced knowledge in the fields of plasmonics, photonics, and optics and covers research on plasmonic nanomaterials for applications ranging from plasmonics to photonics.

Kepler's essay, On the Six-Cornered Snowflake, provides the first published evidence of the ideas of regular arrangements and close-packing which have proved fundamental to crystallography. In it, Kepler ponders on the problem of why snowflakes are hexagonal, two centuries before the first successful steps were taken towards its solution. The purpose of this volume is to display the historical, literary, scientific, and philosophical treasures of Kepler's essay. The book includes the modernized text of the 1611 Latin edition, with an English translation by Colin Hardie on the opposite pages. The text is accompanied by an introduction giving details of the history of the work, and two essays; Professor B. J. Mason's discussion of the scientific meaning and validity of Kepler's arguments and their relation to the history of crystallography and of space filling, and L. L. Whyte's examination of Kepler's facultas formatrix in relation to the history of philosophical and scientific ideas on the genesis of forms.

The first systematic experiments in neutron scattering were carried out in the late 1940s using fission reactors built for the nuclear power programme. Crystallographers were amongst the first to exploit the new technique, but they were soon followed by condensed matter physicists and chemists. Engineers and biologists are the most recent recruits to the club of neutron users. The aim of the book is to provide a broad survey of the experimental activities of all these users. There are many specialist monographs describing particular examples of the application of neutron scattering: fifteen of such monographs have been published already in the Oxford University Press series edited by S. Lovesey and E. Mitchell. However this book will appeal to newcomers to the field of neutron scattering, who may be intimidated by the bewildering array of instruments at central facilities (such as the Institut Laue Langevin in France, the ISIS Laboratory in the UK, or the PSI Laboratory in Switzerland), and who may be uncertain as to which instrument to use.

For many years it was believed that translational symmetry would be the fundamental property of crystal structures of natural and synthetic compounds. It is now recognised that many compounds crystallise without translational symmetry of their atomic structures. "Incommensurate Crystallography" gives a comprehensive account of the superspace theory for the description of crystal structures and symmetries of these incommensurately modulated crystals and incommensurate composite crystals. It thus provides the necessary background for quantitative analysis of incommensurate crystals by methods in Solid State Chemistry and Solid State Physics. The second half of "Incommensurate Crystallography" is devoted to crystallographic methods of structural analysis of incommensurate compounds. Thorough accounts are given of the diffraction by incommensurate crystals, the choice of parameters in structure refinements, and the use of superspace in analysing crystal structures. The presentation of methods of structure determination includes modern methods like the Maximum Entropy Method and Charge Flipping.

Cloud physics is concerned with those processes which are responsible for the formation of clouds and the release of precipitation. This classic book gives a comprehensive and detailed account of experimental and theoretical research on the microphysical processes of nucleation, condensation, droplet growth, initiation and growth of snow crystals, and the mechanisms of precipitation release. As a textbook it is designed to give the student the necessary background to carry out independent work. As a reference book for the research worker, it provides an integrated account of the major developments in this field. Although written primarily for the atmospheric physicist, it contains much of interest for those in the fields of nucleation phenomena, crystal growth, and aerosol physics.

This book aims to explain how and why the detailed three-dimensional architecture of molecules can be determined by an analysis of the diffraction patterns obtained when X rays or neutrons are scattered by the atoms in single crystals. Part 1 deals with the nature of the crystalline state, diffraction generally, and diffraction by crystals in particular, and, briefly, the experimental procedures that are used. Part II examines the problem of converting the experimentally obtained data into a model of the atomic arrangement that scattered these beams. Part III is concerned with the techniques for refining the approximate structure to the degree warranted by the experimental data. It also describes the many types of information that can be learned by modern crystal structure analysis. There is a glossary of terms used and several appendixes to which most of the mathematical details have been relegated.

Hydrogen bond (H-bond) effects are known: it makes sea water iquid, joins cellulose microfibrils in trees, shapes DNA nto genes and polypeptide chains into wool, hair, muscles or enzymes. Its true nature is less known and we may still wonder why O-H...O bond energies range from less than 1 to more than 30 kcal/mol without apparent reason. This H-bond puzzle is re-examined here from its very beginning and presented as an inclusive compilation of experimental H-bond energies and geometries.
New concepts emerge from this analysis: new classes of systematically strong H-bonds (CAHBs and RAHBs: charge- and resonance-assisted H-bonds); full H-bond classification in six classes (the six chemical leitmotifs); and assessment of the covalent nature of strong H-bonds. This leads to three distinct but inter-consistent models able to rationalize the H-bond and predict its strength, based on classical VB theory, matching of donor-acceptor acid-base parameters (PA or pKa), or shape of the H-bond proton-transfer pathway.
Applications survey a number of systems where strong H-bonds play an important functional role, namely drug-receptor binding, enzymatic catalysis, ion-transport through cell membranes, crystal design and molecular mechanisms of functional materials.

Small-angle scattering of X-rays (SAXS) and neutrons (SANS) is an established method for the structural characterization of biological objects in a broad size range from individual macromolecules (proteins, nucleic acids, lipids) to large macromolecular complexes. SAXS/SANS is complementary to the high resolution methods of X-ray crystallography and nuclear magnetic resonance, allowing for hybrid modeling and also accounting for available biophysical and biochemical data. Quantitative characterization of flexible macromolecular systems and mixtures has recently become possible. SAXS/SANS measurements can be easily performed in different conditions by adding ligands or binding partners, and by changing physical and/or chemical characteristics of the solvent to provide information on the structural responses. The technique provides kinetic information about processes like folding and assembly and also allows one to analyze macromolecular interactions. The major factors promoting the increasingly active use of SAXS/SANS are modern high brilliance X-ray and neutron sources, novel data analysis methods, and automation of the experiment, data processing and interpretation. In this book, following the presentation of the basics of scattering from isotropic macromolecular solutions, modern instrumentation, experimental practice and advanced analysis techniques are explained. Advantages of X-rays (rapid data collection, small sample volumes) and of neutrons (contrast variation by hydrogen/deuterium exchange) are specifically highlighted. Examples of applications of the technique to different macromolecular systems are considered with specific emphasis on the synergistic use of SAXS/SANS with other structural, biophysical and computational techniques.

This concise book for chemists, material scientists, and physicists who deal with description of crystalline matter and the determination of its structure, and would like to gain more understanding of the principles involved. The main purpose of the book is to introduce the reader to principles of crystallographic symmetry, to discuss some traditional, as well as modern, experimental techniques, to formulate the phase problem of crystallographic symmetry, to discus some traditional, as well as modern, experimental techniques, to formulate the phase problem of crystallography, and present in some detail the methods for its indirect and direct solution which are indispensable for further work. The book also contains discussions of structure-factor statistics, or value for resolving space-group ambiguities, and atomic displacement parameters, which form an inseparable part of the structure. A discussion of the refinement of structural parameters, conventional, constrained and restrained, concludes the book. Derivations are as far as possible, self contained and wherever mathematical detail might disrupt the line of reasoning the reader is referred to on of four appendices present in the book. The book is of course valuable for students of crystallography at a graduate and upper undergraduate level. No previous course on crystallography is a prerequisite for graduates in the above fields.

This concise book is for chemists, material scientists, and physicists who deal with description of crystalline matter and the determination of its structure, and would like to gain more understanding of the principles involved. The main purpose of the book is to introduce the reader to principles of crystallographic symmetry, to discuss some traditional, as well as modern, experimental techniques, to formulate the phase problem of crystallography, and present in some detail the methods for its indirect and direct solution which are indispensable for further work. The book also contains discussions of structure-factor statistics, of value for resolving space-group ambiguities, and atomic displacement parameters which form an inseparable part of the structure. A discussion of the refinement of structural parameters, conventional, constrained and restrained, concludes the book. Derivations are, as far as possible, self contained and wherever mathematical detail might disrupt the line of reasoning the reader is referred to one of four appendices present in the book. The book is of course valuable for students of crystallography at a graduate and upper undergraduate level. No previous course on crystallography is a prerequisite for graduates in the above fields.

Bridging the gap between theory and practice, this text provides the reader with a comprehensive overview of industrial crystallization. Newcomers will learn all of the most important topics in industrial crystallization, from key concepts and basic theory to industrial practices. Topics covered include the characterization of a crystalline product and the basic process design for crystallization, as well as batch crystallization, measurement techniques, and details on precipitation, melt crystallization and polymorphism. Each chapter begins with an introduction explaining the importance of the topic, and is supported by homework problems and worked examples. Real world case studies are also provided, as well as new industry-relevant information, making this is an ideal resource for industry practitioners, students, and researchers in the fields of industrial crystallization, separation processes, particle synthesis, and particle technology.

The study of interfaces within and between materials is a central field which is relevant to almost all aspects of materials science. For example, interfaces play a role in many of the mechanical and electrical properties of materials, phase transformations, and microstructure of materials.This book is intended to serve as a graduate text consisting of four inter-related parts spanning the structure, thermodynamics, kinetics, and properties of interfaces in crystalline materials. Throughout the book emphasis is placed on the conceptual foundations of the subject through the exposition of simple models and descriptions of key experimental observations. In this way the reader is gradually taken to the forefront of the subject. The first four chapters deal with structural aspects of interfaces - interfacial geometry, dislocation models, interatomic forces, and atomic structure. There are three chapters dealing with thermodynamic aspects of interfaces; the thermodynamics of interfaces; interfacial phases and phase transitions, and segregation of solute atoms. The kinetics of interfaces are covered in three chapters concerned with diffusion, conservative motion, and non-conservative motion. Finally there are two chapters which cover the electrical and mechanical properties of interfaces. This book is a unique introduction to the field of interfaces in crystalline materials spanning the subject in a coherent and pedagogical style.

This book provides a comprehensive and unified account of the structure and properties of crystalline binary adducts. Perhaps better known as molecular complexes and compounds, these crystals are currently estimated (from molecular recognition studies) to make up one quarter of the world's crystals, providing evidence for some sort of special attraction between the two components. DNA is perhaps the most famous example but others (hydrates, solvates, host-guest inclusion complexes, donor-acceptor compounds) pervade the whole body of solid state chemistry. Although much research has been published, there has never been a comprehensive and unified treatment of the whole field. This book has been designed to fill this gap, comparing and contrasting the various examples and the different types of interaction (hydrogen bonding, inclusion and localized or delocalized charge transfer). More than 600 figures, 200 tables and 3500 references are included in the book. Since most 'parent compounds' form a number of adducts, the fraction of crystalline binary adducts is only going to grow making this account just the 'tip of the iceberg.'