Coverings of Discrete Quasiperiodic Sets

Coverings of Discrete Quasiperiodic Sets
Author: Peter Kramer
Publisher: Springer
Total Pages: 287
Release: 2003-07-01
Genre: Science
ISBN: 3540458050

In this up-to-date review and guide to most recent literature, the expert authors develop concepts related to quasiperiodic coverings and describe results. The text describes specific systems in 2 and 3 dimensions with many illustrations, and analyzes the atomic positions in quasicrystals.

Quasicrystals

Quasicrystals
Author: Hans-Rainer Trebin
Publisher: John Wiley & Sons
Total Pages: 668
Release: 2006-05-12
Genre: Science
ISBN: 3527606785

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.

Crystallography of Quasicrystals

Crystallography of Quasicrystals
Author: Steurer Walter
Publisher: Springer Science & Business Media
Total Pages: 388
Release: 2009-08-26
Genre: Science
ISBN: 3642018998

From tilings to quasicrystal structures and from surfaces to the n-dimensional approach, this book gives a full, self-contained in-depth description of the crystallography of quasicrystals. It aims not only at conveying the concepts and a precise picture of the structures of quasicrystals, but it also enables the interested reader to enter the field of quasicrystal structure analysis. Going beyond metallic quasicrystals, it also describes the new, dynamically growing field of photonic quasicrystals. The readership will be graduate students and researchers in crystallography, solid-state physics, materials science, solid- state chemistry and applied mathematics.

Aperiodic Order: Volume 2, Crystallography and Almost Periodicity

Aperiodic Order: Volume 2, Crystallography and Almost Periodicity
Author: Michael Baake
Publisher: Cambridge University Press
Total Pages: 408
Release: 2017-11-02
Genre: Mathematics
ISBN: 1108514499

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 Order

Aperiodic Order
Author: Michael Baake
Publisher: Cambridge University Press
Total Pages: 407
Release: 2013
Genre: Mathematics
ISBN: 0521869927

The second volume in a series exploring the mathematics of aperiodic order. Covers various aspects of crystallography.

Multi-shell Polyhedral Clusters

Multi-shell Polyhedral Clusters
Author: Mircea Vasile Diudea
Publisher: Springer
Total Pages: 451
Release: 2017-10-20
Genre: Science
ISBN: 3319641239

This volume presents new methodologies and rationalizes existing methods that are used in the design of multi-shell polyhedral clusters. The author describes how the methods used are extended from 2D-operations on maps to 3D (and higher dimensional) Euclidean space. A variety of structures is designed and described in detail and classified giving rise to an atlas of multi-shell nanostructures. The book therefore sheds a new light on the field of crystal and quasicrystal structures, an important part of nanoscience and nanotechnology. The author goes on to show how the recently established methods are used for building complex multi-shell nanostructures and how this completes the existing information in the field. The atlas of such structures is completed with atomic coordinates (included as supplementary material). The content of this book gives a useful insight into structure elucidation and suggests new material synthesis.

Light Localisation and Lasing

Light Localisation and Lasing
Author: Mher Ghulinyan
Publisher: Cambridge University Press
Total Pages: 261
Release: 2015
Genre: Science
ISBN: 1107038774

This book presents research on quasi-random and random photonic systems for graduate students and researchers in optics, photonics and optical engineering.

Applied Crystallography

Applied Crystallography
Author: Henryk Morawiec
Publisher: World Scientific
Total Pages: 448
Release: 2004
Genre: Science
ISBN: 9789812702913

This book aims to propagate the newest achievements of applied crystallography among crystallographers, solid state physicists and materials scientists. It presents application of structural studies to materials used in industrial practice rather than those associated with the crystal structure determination only. The proceedings have been selected for coverage in: . OCo Materials Science Citation Index-. OCo Index to Scientific & Technical Proceedings- (ISTP- / ISI Proceedings). OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). OCo CC Proceedings OCo Engineering & Physical Sciences. Contents: Ultra High Angle Double-Crystal X-Ray Diffractometry (U-HADOX) (A Okazaki & K Munakata); Microstructure and Lattice Defect Analysis of Highly Deformed Materials by XRD Line Profile Modelling (P Scardi); Beyond the Ability of Rietveld Analysis: Whole-Pattern Fitting Based on the Maximum-Entropy Method (F Izumi); Six-Dimensional Texture Analysis with High-Energy Synchrotron Radiation (H J Bunge); Present State of Knowledge on Quasicrystals (W Steurer); and other papers. Readership: Graduate students, academics and researchers in applied crystallography and materials science."

Control Theory in Physics and Other Fields of Science

Control Theory in Physics and Other Fields of Science
Author: Michael Schulz
Publisher: Springer Science & Business Media
Total Pages: 328
Release: 2006-01-13
Genre: Computers
ISBN: 9783540295143

This book covers systematically and in a simple language the mathematical and physical foundations of controlling deterministic and stochastic evolutionary processes in systems with a high degree of complexity. Strong emphasis is placed on concepts, methods and techniques for modelling, assessment and the solution or estimation of control problems in an attempt to understand the large variability of these problems in several branches of physics, chemistry and biology as well as in technology and economics. The main focus of the book is on a clear physical and mathematical understanding of the dynamics and kinetics behind several kinds of control problems and their relation to self-organizing principles in complex systems. The book is a modern introduction and a helpful tool for researchers, engineers as well as post-docs and graduate students interested in an application oriented control theory and related topics.

Ising-type Antiferromagnets

Ising-type Antiferromagnets
Author: Christian Binek
Publisher: Springer Science & Business Media
Total Pages: 138
Release: 2003-09-22
Genre: Science
ISBN: 9783540404286

Selected modern aspects of artificially layered structures and bulk materials involving antiferromagnetic long-range order are the main themes of this book. Special emphasis is laid on the prototypical behavior of Ising-type model systems. They play a crucial role in the field of statistical physics and, in addition, contribute to the basic understanding of the exchange bias phenomenon in MBE-grown magnetic heterosystems. Throughout the book, particular attention is given to the interplay between experimental results and their theoretical description, ranging from the famous Lee-Yang theory of phase transitions to novel mechanisms of exchange bias.