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Aperiodic Crystals
From Modulated Phases to Quasicrystals
Ted Janssen, Gervais Chapuis, and Marc de Boissieu
480 pages
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163 b+w line drawings, 59 halftones
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234x156mm
978-0-19-856777-6
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Hardback
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24 May 2007
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- Detailed introduction to the field of aperiodic crystals.
- Accessible to undergraduates.
- Presents some of the newest results in the field.
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 wide range 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 longer work, 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 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.Readership: Graduate students and researchers in solid state physics, crystallography, materials science, chemistry and mathematics.
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Ted Janssen, Department of Theoretical Physics, University of Nijmegen, Gervais Chapuis, Department of Physics, Ecole Polytechnique Federale de Lausanne, and Marc de Boissieu, CNRS researcher, Laboratoire de Thermodynamique Physico Chimie Metallurgique, Grenoble
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"... very timely ... including the big picture and how to explain it.
" - Marjorie Senechal, Smith College Northampton, Massachusetts
"... 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
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1: Introduction
2: Description and symmetry of aperiodic crystals
3: Mathematical models
4: Structure
5: Origin and stability
6: Physical properties
7: Other topics
Appendix A. Higher-dimensional space groups
Appendix B. Magnetic symmetry of quasi-periodic systems
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