Aperiodic crystals : from modulated phases to quasicrystals

Ted Janssen, Gervais Chapuis, Marc de Boissieu

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.

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[目次]

  • 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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この本の情報

書名 Aperiodic crystals : from modulated phases to quasicrystals
著作者等 Boissieu Marc De
Boissieu Marc de
Chapuis Gervais
Janssen Ted
Janssen T.
シリーズ名 Oxford science publications
International Union of Crystallography monographs on crystallography
出版元 Oxford University Press
刊行年月 2007
ページ数 xiii, 466 p.
大きさ 24 cm
ISBN 9780198567776
NCID BA82905011
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言語 英語
出版国 イギリス
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