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Quasicrystals by D. P. DiVincenzo,Paul J. Steinhardt Pdf
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.
Quasicrystals: The State Of The Art (2nd Edition) by David Divincenzo,Paul J Steinhardt Pdf
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.
The Luttinger Model is the only model of many-fermion physics with legitimate claims to be both exactly and completely solvable. In several respects it plays the same role in many-body theory as does the 2D Ising model in statistical physics. Interest in the Luttinger model has increased steadily ever since its introduction half a century ago. The present volume starts with reprints of the seminal papers in which it was originally introduced and solved, and continues with several contributions setting out the landscape of the principal advances of the last fifty years and of prominent new directions.
Polaritons in Periodic and Quasiperiodic Structures by Eudenilson L. Albuquerque,Michael G. Cottam Pdf
In recent years there have been exciting developments in techniques for producing multilayered structures of different materials, often with thicknesses as small as only a few atomic layers. These artificial structures, known as superlattices, can either be grown with the layers stacked in an alternating fashion (the periodic case) or according to some other well-defined mathematical rule (the quasiperiodic case). This book describes research on the excitations (or wave-like behavior) of these materials, with emphasis on how the material properties are coupled to photons (the quanta of the light or the electromagnetic radiation) to produce “mixed waves called polaritons. · Clear and comprehensive account of polaritons in multilayered structures · Covers both periodic and quasiperiodic superlattices · Careful attention to theoretical developments and tools · Invaluable guide for researchers in this field · Shows developments from the basics to advanced topics
Quasicrystals by Paul Steinhardt,David DiVincenzo Pdf
This review volume provides the most up-to-date and authoritative description of research on icosahedral solids, which has advanced rapidly since the discovery of these unique materials in 1984. The present book, intended as a companion volume to the reprint volume on The Physics of Quasicrystals edited by P Steinhardt and S Ostlund, will be invaluable to graduate students and workers in the field as a comprehensive reference. Scientists in related fields can use it as a readable introduction to the important current problems in quasicrystals. The chapters have been written by many of the most prominent theorists and experimentalists on quasicrystals, both physicists and materials scientists, from around the world. Especially exciting are the details of the recent discovery of “perfect quasi-crystals”, new materials which promise to be an ideal form of quasiperiodic matter with little or no disorder. Other topics include: electron, X-ray and neutron quasi-crystallography, scanning tunneling microscopy studies, electronic transport experiments, quasicrystal faceting and statistical mechanics, growth rules and matching rules for quasicrystals, group theory and elasticity theory. Contents:Progress and Current Issues in Quasicrystals (D P DiVincenzo & P J Steinhardt)Order and Disorder in Icosahedral Alloys (P A Bancel); Neutron Scattering Approaches to Quasicrystals (Ch Janot & M de Boissieu)High-Resolution Electron Microscopy of Quasicrystals (K Hiraga)Scanning Tunneling Microscopy Studies of Quasicrystals (R S Becker & A R Kortan)(Quasi) Crystallography is Better in Fourier Space (N D Mermin)Matching Rules for Quasicrystalline Tilings (K Ingersent)Growth Rules for Quasicrystals (J E S Socolar)Continuous Atomic Surfaces (L S Levitov)Chiral Smectics as Quasicrystals (T C Lubensky et al.)Experimental Studies of Electronic Transport in Quasicrystals (K Kimura & S Takeuchi)Electronic Structure and Transport of Quasicrystals (T Fujiwara & H Tsunetsugu)Electronic-Structure and Total-Energy Calculation for Quasicrystals and Related Crystals (A E Carlsson & R Phillips)Faceting and Surface Roughening in Quasicrystals (T-L Ho)Random Tiling Models (C L Henley) Readership: Condensed matter physicists, crystallographers, materials scientists, metallurgists and mathematicians. keywords:Quasicrystal;Phason;Icosahedral Symmetry;Penrose Tilings;Random Tilings;Quasiperiodicity;Pinning;Fibonacci Lattice;Quasilattice;Quasicrystallography;Localization;Critical States “… timely and useful … I recommend this book to those in the field and to everyone interested in quasicrystals …” Marjorie Senechal Science
Aperiodic'97 - Proceedings Of The International Conference On Aperiodic Crystals by Roland Currat,Marc De Boissieu,Jean-louis Verger-gaugry Pdf
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.
Inorganic Chemistry Highlights by Gerd Meyer,Dieter Naumann,Lars Wesemann Pdf
Wie kann man heute in seinem Fachgebiet den Überblick behalten, obwohl die Spezialisierung in der Wissenschaft mehr und mehr zunimmt? Die "Highlights in Inorganic Chemistry" wollen dabei helfen. Die Anorganische Chemie gliedert sich in Molekülchemie, Festkörperchemie, Hauptgruppenchemie, Materialwissenschaften und viele weitere Teilbereiche auf. Viel tut sich Jahr für Jahr in jedem dieser Forschungsschwerpunkte! Zu jedem dieser Disziplinen präsentieren Wissenschaftler aus aller Welt in diesem Buch interessante und aktuelle Beiträge. Jeder, der einen Blick über den eigenen Tellerrand hinaus riskieren will, sollte dieses Buch sein Eigen nennen.
Quasicrystals form a new state of solid matter beside the crystalline and the amorphous. The positions of the atoms are ordered, but with noncrystallographic rotational symmetries and in a nonperiodic way. The new structure induces unusual physical properties, promising interesting applications. This book provides a comprehensive and up-to-date review and presents most recent research results, achieved by a collaboration of physicists, chemists, material scientists and mathematicians within the Priority Programme "Quasicrystals: Structure and Physical Properties" of the Deutsche Forschungsgemeinschaft (DFG). Starting from metallurgy, synthesis and characterization, the authors carry on with structure and mathematical modelling. On this basis electronic, magnetic, thermal, dynamic and mechanical properties are dealt with and finally surfaces and thin films.
Introduction to Surface and Superlattice Excitations by Michael G. Cottam,D.R. Tilley Pdf
Cottam and Tilley provide an introduction to the properties of wave-like excitations associated with surfaces and interfaces. The emphasis is on acoustic, optic and magnetic excitations, and apart from one section on liquid surfaces, the text concentrates on solids. The important topic of superlattices is also discussed, in which the different kind
GROUP 24 by J.P Gazeau,R Kerner,J.P Antoine,S Metens,J.Y Thibon Pdf
One of the most enduring elements in theoretical physics has been group theory. GROUP 24: Physical and Mathematical Aspects of Symmetries provides an important selection of informative articles describing recent advances in the field. The applications of group theory presented in this book deal not only with the traditional fields of physics, but also include such disciplines as chemistry and biology. Awarded the Wigner Medal and the Weyl Prize, respectively, H.J. Lipkin and E. Frenkel begin the volume with their contributions. Plenary session contributions are represented by 18 longer articles, followed by nearly 200 shorter articles. The book also presents coherent states, wavelets, and applications and quantum group theory and integrable systems in two separate sections. As a record of an international meeting devoted to the physical and mathematical aspects of group theory, GROUP 24: Physical and Mathematical Aspects of Symmetries constitutes an essential reference for all researchers interested in various current developments related to the important concept of symmetry.
Mathematics of Aperiodic Order by Johannes Kellendonk,Daniel Lenz,Jean Savinien Pdf
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.