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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.
The book provides an introduction to all aspects of the physics of quasicrystals. The chapters, each written by an expert in this field, cover quasiperiodic tilings and the modeling of the atomic structure of quasicrystals. The electronic density of states and the calculation of the electronic structure play a key role in this introduction, as does an extensive discussion of the atomic dynamics. The study of defects in quasicrystals by high resolution electron microscopy and the computer simulations of defects and fracture in decorated tilings are important subjects for the application of these aperiodic crystals.
By introducing the superspace formalism, the methods of structure analysis of incommensurate structures have achieved in the past few years a full maturity. The superspace description is also becoming in the field of quasicrystals the main tool to approach a systematic method of structure determination of these materials. According to the program of the Workshop, these proceedings are an introduction to the formalism and practice of structure determination of modulated structures (incommensurate and commensurate) and quasiperiodic systems, mainly under the unifying framework of the superspace description. Accordingly, a large set of tutorial introductory chapters written by well-known specialists are included. The main refinement programs available for incommensurate structures are presented by their authors. The book also contains the most recent contributions from more than thirty of the participants in the Workshop, focusing on the problem of the structure analysis of these typical materials by means of diffraction methods.
These days computer-generated fractal patterns are everywhere, from squiggly designs on computer art posters to illustrations in the most serious of physics journals. Interest continues to grow among scientists and, rather surprisingly, artists and designers. This book provides visual demonstrations of complicated and beautiful structures that can arise in systems, based on simple rules. It also presents papers on seemingly paradoxical combinations of randomness and structure in systems of mathematical, physical, biological, electrical, chemical, and artistic interest. Topics include: iteration, cellular automata, bifurcation maps, fractals, dynamical systems, patterns of nature created through simple rules, and aesthetic graphics drawn from the universe of mathematics and art.Chaos and Fractals is divided into six parts: Geometry and Nature; Attractors; Cellular Automata, Gaskets, and Koch Curves; Mandelbrot, Julia and Other Complex Maps; Iterated Function Systems; and Computer Art.Additionally, information on the latest practical applications of fractals and on the use of fractals in commercial products such as the antennas and reaction vessels is presented. In short, fractals are increasingly finding application in practical products where computer graphics and simulations are integral to the design process. Each of the six sections has an introduction by the editor including the latest research, references, and updates in the field. This book is enhanced with numerous color illustrations, a comprehensive index, and the many computer program examples encourage reader involvement.
This book deals with various aspects of aperiodic crystals, quasicrystals, incommensurate crystals, composite crystals, modulated crystals and polytypes. It is mainly oriented towards crystallographic investigations and to the search for new theoretical and methodological methods aiming to model this state of matter and to understand the links between the structure and the properties. Basically multidisciplinary, the book covers many fields of aperiodic crystals, from materials science to mathematics.
This 2-volume set presents 12 invited state-of-the-art i papers (volume 1) and a collection of 75 contributed papers on topics of current interest (volume 2).