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Author : JANSSEN ET AL.
Publisher :
ISBN 13 : 9780191863288
Total Pages : pages
Book Rating : 4.8/5 (632 download)
Download or read book APERIODIC CRYSTALS, 2ND ED. written by JANSSEN ET AL. and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ted Janssen
Publisher : Oxford University Press
ISBN 13 : 0192557815
Total Pages : 547 pages
Book Rating : 4.1/5 (925 download)
Download or read book Aperiodic Crystals written by Ted Janssen and published by Oxford University Press. This book was released on 2018-05-24 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past several decades, a This book deals with the characterisation of the structure, the structure determination and the study of the physical properties, especially dynamical and electronic properties of aperiodic crystals. The treatment is based on a description in a space with more dimensions than three, the so-called superspace. This allows us to generalise the standard crystallography and to look differently at the dynamics. The three main classes of aperiodic crystals, modulated phases, incommensurate composites and quasicrystals are treated from a unified point of view, which stresses similarities of the various systems. The book assumes as a prerequisite a knowledge of the fundamental techniques of crystallography and the theory of condensed matter, and covers the literature at the forefront of the field. Since the first edition of this book in 2007, the field of aperiodic crystals has developed considerably, with the discovery of new materials and new structures. Progress has been made in structure determination, in the interpretation and understanding of the structural characteristics and in the calculation of electrons and phonons. This new edition reflects these new developments, and it includes discussions of natural quasicrystals, incommensurate magnetic and multiferroic structures, photonic and mesoscopic quasicrystals. The second edition also includes a number of new exercises that give the reader an opportunityt to check their understanding of the material.
Author : Siegbert Schmid
Publisher : Springer Science & Business Media
ISBN 13 : 9400764316
Total Pages : 280 pages
Book Rating : 4.4/5 (7 download)
Download or read book Aperiodic Crystals written by Siegbert Schmid and published by Springer Science & Business Media. This book was released on 2013-04-19 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aperiodic Crystals collects 37 selected papers from the scientific contributions presented at Aperiodic 2012 - the Seventh International Conference on Aperiodic Crystalsheld 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.
Author : David Divincenzo
Publisher : World Scientific
ISBN 13 : 9814493902
Total Pages : 635 pages
Book Rating : 4.8/5 (144 download)
Download or read book Quasicrystals: The State Of The Art (2nd Edition) written by David Divincenzo and published by World Scientific. This book was released on 1999-11-16 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quasicrystals: The State of the Art has proven to be a useful introduction to quasicrystals for mathematicians, physicists, materials scientists, and students. The original intent was for the book to be a progress report on recent developments in the field. However, the authors took care to adopt a broad, pedagogical approach focusing on points of lasting value. Many subtle and beautiful aspects of quasicrystals are explained in this book (and nowhere else) in a way that is useful for both the expert and the student.In this second edition, some authors have appended short notes updating their essays. Two new chapters have been added. Chapter 16, by Goldman and Thiel, reviews the experimental progress since the first edition (1991) in making quasicrystals, determining their structure, and finding applications. In Chapter 17, Steinhardt discusses the quasi-unit cell picture, a promising, new approach for describing the structure and growth of quasicrystals in terms of a single, repeating, overlapping cluster of atoms.
Author : Ted Janssen
Publisher : Oxford University Press, USA
ISBN 13 : 0198567774
Total Pages : 481 pages
Book Rating : 4.1/5 (985 download)
Download or read book Aperiodic Crystals written by Ted Janssen and published by Oxford University Press, USA. This book was released on 2007-05-24 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most materials and crystals have an atomic structure which is described by a regular stacking of a microscopic fundamental unit, the unit cell. However, there are also many well ordered materials without such a unit cell. This book deals with the structure determination and a discussion of the main special properties of these materials.
Author : T. Janssen
Publisher :
ISBN 13 : 9780191718335
Total Pages : 466 pages
Book Rating : 4.7/5 (183 download)
Download or read book Aperiodic Crystals written by T. Janssen and published by . This book was released on 2007 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most materials and crystals have an atomic structure which is described by a regular stacking of microscopic fundamental unit the unit cell. However, there are also many well ordered materials without such a cell unit. This book deals with the structure determination and a discussion of the main special properties of these materials.
Author : Roland Currat
Publisher : World Scientific
ISBN 13 : 9814545228
Total Pages : 830 pages
Book Rating : 4.8/5 (145 download)
Download or read book Aperiodic'97 - Proceedings Of The International Conference On Aperiodic Crystals written by Roland Currat and published by World Scientific. This book was released on 1999-01-29 with total page 830 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : T. Janssen
Publisher :
ISBN 13 :
Total Pages : 57 pages
Book Rating : 4.:/5 (263 download)
Download or read book Aperiodic Crystals written by T. Janssen and published by . This book was released on 1988 with total page 57 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael Baake
Publisher : Cambridge University Press
ISBN 13 : 0521869919
Total Pages : 548 pages
Book Rating : 4.5/5 (218 download)
Download or read book Aperiodic Order written by Michael Baake and published by Cambridge University Press. This book was released on 2013-08-22 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introductory monograph on the theory of aperiodic order, with numerous illustrations and examples.
Author : Marko Jaric
Publisher : Elsevier
ISBN 13 : 0323140645
Total Pages : 296 pages
Book Rating : 4.3/5 (231 download)
Download or read book Introduction to Quasicrystals written by Marko Jaric and published by Elsevier. This book was released on 2012-12-02 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aperiodicity and Order, Volume 1: Introduction to Quasicrystals deals with various aperiodic types of order in quasicrystals as well as the basic physics of quasicrystalline order and materials. Questions about the nature of order and the order of nature are addressed. This volume is comprised of six chapters; the first of which introduces the reader to icosahedral coordination in metallic crystals, with emphasis on the structural principles of metallic materials that are crystalline and may be expected to carry over to aperiodic materials. The discussion then turns to short- and long-range icosahedral orders in glass, crystals, and quasicrystals. The origins of icosahedral order are explained, and the physical properties of icosahedral materials are described. The chapters that follow focus on the metallurgy of quasicrystals, the crystallography of ideal icosahedral crystals, and stability and deformations in quasicrystalline solids. The book concludes with a discussion on symmetry, elasticity, and hydrodynamics in quasiperiodic structures. A pedagogical review of continuum elastic-hydrodynamic theory for quasicrystals and related structures is presented. This book is intended primarily as an introduction for new students in the field and as a reference for active researchers.
Author : John D. Joannopoulos
Publisher : Princeton University Press
ISBN 13 : 1400828244
Total Pages : 305 pages
Book Rating : 4.4/5 (8 download)
Download or read book Photonic Crystals written by John D. Joannopoulos and published by Princeton University Press. This book was released on 2011-10-30 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since it was first published in 1995, Photonic Crystals has remained the definitive text for both undergraduates and researchers on photonic band-gap materials and their use in controlling the propagation of light. This newly expanded and revised edition covers the latest developments in the field, providing the most up-to-date, concise, and comprehensive book available on these novel materials and their applications. Starting from Maxwell's equations and Fourier analysis, the authors develop the theoretical tools of photonics using principles of linear algebra and symmetry, emphasizing analogies with traditional solid-state physics and quantum theory. They then investigate the unique phenomena that take place within photonic crystals at defect sites and surfaces, from one to three dimensions. This new edition includes entirely new chapters describing important hybrid structures that use band gaps or periodicity only in some directions: periodic waveguides, photonic-crystal slabs, and photonic-crystal fibers. The authors demonstrate how the capabilities of photonic crystals to localize light can be put to work in devices such as filters and splitters. A new appendix provides an overview of computational methods for electromagnetism. Existing chapters have been considerably updated and expanded to include many new three-dimensional photonic crystals, an extensive tutorial on device design using temporal coupled-mode theory, discussions of diffraction and refraction at crystal interfaces, and more. Richly illustrated and accessibly written, Photonic Crystals is an indispensable resource for students and researchers. Extensively revised and expanded Features improved graphics throughout Includes new chapters on photonic-crystal fibers and combined index-and band-gap-guiding Provides an introduction to coupled-mode theory as a powerful tool for device design Covers many new topics, including omnidirectional reflection, anomalous refraction and diffraction, computational photonics, and much more.
Author : International Conference on Aperiodic Crystals. 6, 2009, Liverpool
Publisher :
ISBN 13 :
Total Pages : 229 pages
Book Rating : 4.:/5 (756 download)
Download or read book 6th International Conference on Aperiodic Crystals written by International Conference on Aperiodic Crystals. 6, 2009, Liverpool and published by . This book was released on 2010 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Denis Gratias
Publisher :
ISBN 13 :
Total Pages : 528 pages
Book Rating : 4.:/5 (5 download)
Download or read book International Workshop on Aperiodic Crystals written by Denis Gratias and published by . This book was released on 1986 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yanjun Ma
Publisher :
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.:/5 (18 download)
Download or read book EXAFS and Computer Modeling Studies of the Structures of Aperiodic Crystals written by Yanjun Ma and published by . This book was released on 1987 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael Baake
Publisher : Cambridge University Press
ISBN 13 : 1108505554
Total Pages : 407 pages
Book Rating : 4.1/5 (85 download)
Download or read book Aperiodic Order: Volume 2, Crystallography and Almost Periodicity written by Michael Baake and published by Cambridge University Press. This book was released on 2017-11-02 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Johannes Kellendonk
Publisher : Birkhäuser
ISBN 13 : 3034809034
Total Pages : 438 pages
Book Rating : 4.0/5 (348 download)
Download or read book Mathematics of Aperiodic Order written by Johannes Kellendonk and published by Birkhäuser. This book was released on 2015-06-05 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is order that is not based on simple repetition, that is, periodicity? How must atoms be arranged in a material so that it diffracts like a quasicrystal? How can we describe aperiodically ordered systems mathematically? Originally triggered by the – later Nobel prize-winning – discovery of quasicrystals, the investigation of aperiodic order has since become a well-established and rapidly evolving field of mathematical research with close ties to a surprising variety of branches of mathematics and physics. This book offers an overview of the state of the art in the field of aperiodic order, presented in carefully selected authoritative surveys. It is intended for non-experts with a general background in mathematics, theoretical physics or computer science, and offers a highly accessible source of first-hand information for all those interested in this rich and exciting field. Topics covered include the mathematical theory of diffraction, the dynamical systems of tilings or Delone sets, their cohomology and non-commutative geometry, the Pisot substitution conjecture, aperiodic Schrödinger operators, and connections to arithmetic number theory.
Author : Michael Baake
Publisher : Cambridge University Press
ISBN 13 : 1316184382
Total Pages : 548 pages
Book Rating : 4.3/5 (161 download)
Download or read book Aperiodic Order: Volume 1, A Mathematical Invitation written by Michael Baake and published by Cambridge University Press. This book was released on 2013-08-22 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The underlying mathematics, known as the theory of aperiodic order, is the subject of this comprehensive multi-volume series. This first volume provides a graduate-level introduction to the many facets of this relatively new area of mathematics. Special attention is given to methods from algebra, discrete geometry and harmonic analysis, while the main focus is on topics motivated by physics and crystallography. In particular, the authors provide a systematic exposition of the mathematical theory of kinematic diffraction. Numerous illustrations and worked-out examples help the reader to bridge the gap between theory and application. The authors also point to more advanced topics to show how the theory interacts with other areas of pure and applied mathematics.
