Aperiodic Crystals: From Modulated Phases to Quasicrystals

Hardcover | June 1, 2007

byTed Janssen, Gervais Chapuis, Marc de Boissieu

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Until the 1970s all materials studied consisted of periodic arrays of unit cells, or were amorphous. In the last decades a new class of solid state matter, called aperiodic crystals, has been found. It is a long range ordered structure, but without lattice periodicity. It is found in a widerange of materials: organic and anorganic compounds, minerals (including a substantial portion of the earths crust), and metallic alloys, under various pressures and temperatures. Because of the lack of periodicity the usual techniques for the study of structure and physical properties no longerwork, and new techniques have to be developed. 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 spacewith 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 pointof 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.

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From the Publisher

Until the 1970s all materials studied consisted of periodic arrays of unit cells, or were amorphous. In the last decades a new class of solid state matter, called aperiodic crystals, has been found. It is a long range ordered structure, but without lattice periodicity. It is found in a widerange of materials: organic and anorganic comp...

Ted Jenssen Professor of Theoretical Physics, University of Nijmegen 1968-1994 Associate Professor of Theoretical Physics University of Nijmegen 1994-1996 Extraordinary professor of Theoretical Solid State Physics University of Utrecht 1994-2001 Full Professor of Theoretical Physics University of Nijmegen 2001-present Emeritus P...

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Format:HardcoverDimensions:480 pages, 9.21 × 6.14 × 1.1 inPublished:June 1, 2007Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198567774

ISBN - 13:9780198567776

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Table of Contents

1. Introduction2. Description and symmetry of aperiodic crystals3. Mathematical models4. Structure5. Origin and stability6. Physical properties7. Other topicsAppendix A. Higher-dimensional space groupsAppendix B. Magnetic symmetry of quasi-periodic systems

Editorial Reviews

`... a valuable aid for newcomers to the field of aperiodic crystals as well as in teaching solid state physics and chemistry and crystallography.'Walter Steurer, ETH Zurich