Fivefold symmetry is common in flowers, fruits, molecules, logos, and buildings, but it is a forbidden symmetry in the world of crystals. A few years ago, the so-called quasicrystals were discovered displaying fivefold symmetry, and it caused a minirevolution in crystallography. There has been increased awareness of fivefold symmetry in all domains of human interest ever since. The present book brings together authors and ideas on a common theme from mathematics, the sciences, design, and anthropology to history, literature, and the arts. Its 29 chapters are an offering by scientists and humanists from 13 countries to a broad readership of professionals and laypersons about fivefold symmetry and the areas that are being bridged by this unique concept.
In this invaluable book, the basic mathematical properties of the golden ratio and its occurrence in the dimensions of two- and three-dimensional figures with fivefold symmetry are discussed. In addition, the generation of the Fibonacci series and generalized Fibonacci series and their relationship to the golden ratio are presented. These concepts are applied to algorithms for searching and function minimization. The Fibonacci sequence is viewed as a one-dimensional aperiodic, lattice and these ideas are extended to two- and three-dimensional Penrose tilings and the concept of incommensurate projections. The structural properties of aperiodic crystals and the growth of certain biological organisms are described in terms of Fibonacci sequences.
Scanning transmission electron microscopy has become a mainstream technique for imaging and analysis at atomic resolution and sensitivity, and the authors of this book are widely credited with bringing the field to its present popularity. Scanning Transmission Electron Microscopy(STEM): Imaging and Analysis will provide a comprehensive explanation of the theory and practice of STEM from introductory to advanced levels, covering the instrument, image formation and scattering theory, and definition and measurement of resolution for both imaging and analysis. The authors will present examples of the use of combined imaging and spectroscopy for solving materials problems in a variety of fields, including condensed matter physics, materials science, catalysis, biology, and nanoscience. Therefore this will be a comprehensive reference for those working in applied fields wishing to use the technique, for graduate students learning microscopy for the first time, and for specialists in other fields of microscopy.
Advances in Virus Research, Volume 108, in this ongoing series, highlights new advances in the field, with this new volume presenting interesting chapters on topics including Virus infections of the developing brain, Geminivirus assembly, Flavivirus assembly, Cell-cell transmission, Archael virus assembly, Potyvirus assembly, Poxvirus assembly and exit, Mycovirus assembly, Reo/orbivirus assembly and exit, Giant virus assembly, Quasi-enveloped virus assembly/exit, and Betaherpesvirus assembly and exit. - Provides the authority and expertise of leading contributors from an international board of authors - Presents the latest release in the Advances in Virus Research series - Includes the latest information on virus assembly and exit pathways
This book comprises an introductory lecture outlining the basic concepts and challenges in the field. This is followed by a collection of reprinted articles which are important in understanding the subject. The book will focus mainly on mathematical and physical foundations of the subject rather than experimental progress. By concentrating on theoretical topics, this volume has long-lasting as well as immediate value to physicists, crystallographers, metallurgists and mathematicians.
This title provides a brief but accurate summary of all the basic ideas, theories, methods, and conspicuous results of structure analysis and molecular modelling of the condensed phases of organic compounds.
Now updated—the leading single-volume introduction to solid state and soft condensed matter physics This Second Edition of the unified treatment of condensed matter physics keeps the best of the first, providing a basic foundation in the subject while addressing many recent discoveries. Comprehensive and authoritative, it consolidates the critical advances of the past fifty years, bringing together an exciting collection of new and classic topics, dozens of new figures, and new experimental data. This updated edition offers a thorough treatment of such basic topics as band theory, transport theory, and semiconductor physics, as well as more modern areas such as quasicrystals, dynamics of phase separation, granular materials, quantum dots, Berry phases, the quantum Hall effect, and Luttinger liquids. In addition to careful study of electron dynamics, electronics, and superconductivity, there is much material drawn from soft matter physics, including liquid crystals, polymers, and fluid dynamics. Provides frequent comparison of theory and experiment, both when they agree and when problems are still unsolved Incorporates many new images from experiments Provides end-of-chapter problems including computational exercises Includes more than fifty data tables and a detailed forty-page index Offers a solutions manual for instructors Featuring 370 figures and more than 1,000 recent and historically significant references, this volume serves as a valuable resource for graduate and undergraduate students in physics, physics professionals, engineers, applied mathematicians, materials scientists, and researchers in other fields who want to learn about the quantum and atomic underpinnings of materials science from a modern point of view.
States of Matter, States of Mind is an easy-to-read introduction to the way the physical world is put together and stays together. The book presents the fundamental ideas and particles of the makeup of the universe to enable understanding of matter and why it behaves in the way it does. Written in an engaging manner, the book explains some of the intricate details and grand schemes of life and the universe, by making analogies with common everyday examples. For example, the recipe for a cake tells us nothing of how good the cake tastes, but is a model of the food, and a scientific model is no closer to the reality of the materials than a recipe is to the mouth-watering flavor of the cake. Illustrated with helpful cartoons, this book provides a vast knowledge of atoms and atmospheres. The first several chapters introduce terms and fundamental ideas while later chapters deal successively with particles and systems, from the electron to the universe as a system. Each new idea introduced builds upon the last. A user-friendly bibliography provides references for further reading.
The focus of these conference proceedings is on research, development, and applications in the fields of numerical geometry, scientific computing and numerical simulation, particularly in mesh generation and related problems. In addition, this year’s special focus is on Delaunay triangulations and their applications, celebrating the 130th birthday of Boris Delaunay. In terms of content, the book strikes a balance between engineering algorithms and mathematical foundations. It presents an overview of recent advances in numerical geometry, grid generation and adaptation in terms of mathematical foundations, algorithm and software development and applications. The specific topics covered include: quasi-conformal and quasi-isometric mappings, hyperelastic deformations, multidimensional generalisations of the equidistribution principle, discrete differential geometry, spatial and metric encodings, Voronoi-Delaunay theory for tilings and partitions, duality in mathematical programming and numerical geometry, mesh-based optimisation and optimal control methods. Further aspects examined include iterative solvers for variational problems and algorithm and software development. The applications of the methods discussed are multidisciplinary and include problems from mathematics, physics, biology, chemistry, material science, and engineering.
These proceedings cover topics related to Quasicrystals, including tiling descriptions, high dimensional crystallography, structure studies, metallurgy and phase diagrams, and also properties with special emphasis on dynamics, electronic and mechanical behaviour. For the first time, materials made of metals only that behave as insulators are presented. For the first time also application focused research and processing of Quasicrystalline materials are addressed.Invited speakers: J Friedel, D Shechtman, M Baake, D Basov, C Berger, M de Boissieu, T Fujiwara, S Khanna, Y Meyer, S J Poon, C Sire, H Trebin, A P Tsai, M Widdom, M Wollgarten, Z Zhang.
