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Crystallography --- Quasicrystals

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Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The mathematics that underlies this discovery or that proceeded from it, known as the theory of Aperiodic Order, is the subject of this comprehensive multi-volume series. This second volume begins to develop the theory in more depth. A collection of leading experts, among them Robert V. Moody, cover various aspects of crystallography, generalising appropriately from the classical case to the setting of aperiodically ordered structures. A strong focus is placed upon almost periodicity, a central concept of crystallography that captures the coherent repetition of local motifs or patterns, and its close links to Fourier analysis. The book opens with a foreword by Jeffrey C. Lagarias on the wider mathematical perspective and closes with an epilogue on the emergence of quasicrystals, written by Peter Kramer, one of the founders of the field.

Aperiodic tilings. --- Quasicrystals --- Mathematics.

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This primer provides a descriptive approach to the subject of quasicrystals for those coming to it for the first time. The various practical, experimental, and theoretical topics are dealt with in an accessible style. The book is completed by problem sets and there is a computer program that generates a Penrose lattice.

Quasicrystals. --- Crystals. --- Crystallography --- Powders --- Solids --- Quasi-crystals --- Condensed matter --- Crystals --- 544.273.4 --- Quasicrystalline model (physical chemistry) --- Quasicrystals

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This book is aimed at researchers who are working in a field of quasicrystals to provide a reference to recent developments and ideas in the field and also at graduate students, who intend to study quasicrystals, to provide introduction of ideas. Topics in this book cover an entire field of quasicrystals, both experimental and theoretical, including new developments: the state of the art in quasicrystallography, new families of quasicrystals, phasons in aperiodic solids, ab initio studies on stability mechanism, quantum transport phenomena, elastic/plastic properties and surface of quasicrysta

Chemical and physical cristallography --- Quasicrystals. --- Matter --- Properties. --- Physical properties of matter --- Properties of matter --- Mechanics --- Diffusion --- Quasi-crystals --- Condensed matter --- Crystals

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Aperiodic Crystals collects 37 selected papers from the scientific contributions presented at Aperiodic 2012 - the Seventh International Conference on Aperiodic Crystals held in Cairns, Australia, 2-7 of September 2012. The volume discusses state-of-the-art discoveries, new trends and applications of aperiodic crystals - including incommensurately modulated crystals, composite crystals, and quasicrystals - from a wide range of different perspectives. Starting with a general historical introduction to aperiodic crystals, the book proceeds to examine the complex mathematics of aperiodic long-range order, as well as the theoretical approaches aimed at understanding some of the unique properties and mechanisms underlying the existence of aperiodic crystals. The book then explores in detail such topics as complex metallic alloys, modulated structures, quasicrystals and their approximants, dynamics, disorder and defects in quasicrystals. It concludes with an analysis of quasicrystal surfaces and their properties. By describing the latest research and the progress made on the structure determination of aperiodic crystals and the influence of this unique structure on their physical properties, this book represents a valuable resource to mathematicians, crystallographers, physicists, chemists, materials and surface scientists, and even architects and artists, interested in the fascinating nature of aperiodic crystals.

Aperiodicity -- Congresses. --- Crystallography -- Congresses. --- Quasicrystals -- Congresses. --- Crystals. --- Quasicrystals. --- Quasi-crystals --- Materials science. --- Spectroscopy. --- Crystallography. --- Structural materials. --- Materials Science. --- Structural Materials. --- Spectroscopy/Spectrometry. --- Condensed matter --- Crystals --- Crystallography --- Powders --- Solids --- Materials. --- Crystallography and Scattering Methods. --- Analysis, Spectrum --- Spectra --- Spectrochemical analysis --- Spectrochemistry --- Spectroscopy --- Chemistry, Analytic --- Interferometry --- Optics --- Radiation --- Wave-motion, Theory of --- Absorption spectra --- Light --- Spectroscope --- Leptology --- Physical sciences --- Mineralogy --- Engineering --- Engineering materials --- Industrial materials --- Engineering design --- Manufacturing processes --- Qualitative --- Materials --- Spectrometry --- Architectural materials --- Architecture --- Building --- Building supplies --- Buildings --- Construction materials --- Structural materials --- Analytical chemistry --- Quasicrystals --- Aperiodicity