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.
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.
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.
This book explains aperiodic crystals, which cannot be described by the classical model of 3-dimensional periodicities. The study of these new types of material necessitates describing them in dimensions larger than three. It describes the physical and mathematical methods to solve and characterize them, and to understand their physical properties.
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.
A new way of looking at international relations from a leading expert in the field What makes for war or for a stable international system? Are there general principles that should govern foreign policy? In The Cold War and After, Marc Trachtenberg, a leading historian of international relations, explores how historical work can throw light on these questions. The essays in this book deal with specific problems—with such matters as nuclear strategy and U.S.-European relations. But Trachtenberg's main goal is to show how in practice a certain type of scholarly work can be done. He demonstrates how, in studying international politics, the conceptual and empirical sides of the analysis can be made to connect with each other, and how historical, theoretical, and even policy issues can be tied together in an intellectually respectable way. These essays address a wide variety of topics, from theoretical and policy issues, such as the question of preventive war and the problem of international order, to more historical subjects—for example, American policy on Eastern Europe in 1945 and Franco-American relations during the Nixon-Pompidou period. But in each case the aim is to show how a theoretical perspective can be brought to bear on the analysis of historical issues, and how historical analysis can shed light on basic conceptual problems.
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