Quasicrystals : current topics : Aussois, France, 16-21 May 1999 / editors, Esther Belin-Ferre ... [et al.].

Format:

Book

Contributor:

Belin-Ferré, Esther.

Language:

English

Subjects (All):

Quasicrystals.

Crystals.

Physical Description:

1 online resource (546 p.)

Place of Publication:

Singapore ; River Edge, NJ : World Scientific, c2000.

Language Note:

English

Summary:

This book focuses on current topics in quasicrystal science and research. Various themes are addressed, such as atomic structure, growth of quasicrystals, statistical physics and thermodynamics, magnetism, phasons, propagation of waves, surfaces and technological potential of quasicrystals. Insight into basics in physics and chemistry is also given, with examples from metallurgy, the surface of alloys, plasticity, etc., in order to point out the possible genuine aspects of quasicrystals and allow a better comparison with conventional alloys.

Contents:

FOREWORD; CONTENTS; LECTURERS; INTRODUCTION TO ICOSAHEDRAL QUASICRYSTALS; 1 Introduction; 2 Basics of Quasiperiodicity; 2.1 The cut algorithm; 2.2 Projectors; 2.3 The cut method for the icosahedral phases; 2.4 Icosahedral symmetry; 2.5 Quasisymmetries; 2.6 Indexing diffraction; 3 Atomic Structures; 3.1 The cell decomposition; i - Existence of local rules; ii- Easy phason relaxation; 3.2 Defining a model; 3.3 Computing composition and density; 3.4 Computing Diffraction spectra; 3.5 Describing the F-type icosahedral structure in Eוו; 3.6 B-clusters: the atomic configuration generated by Tbc

3.7 M-clusters: the atomic configuration generated by To at n3.8 M'-clusters: the atomic configuration generated by To at n'; 3.9 M- to M'-clusters connections; 3.10 All together: towards chemistry; 3.11 Extending the cluster size: towards covering; 4 Approximants; 4.1 The shear method; 4.2 Indexing approximants; 4.3 Point symmetry; 4.4 Space symmetry and degeneracy; 4.5 Calculating the Fourier transform of approximants; 5 Conclusion; References; APPROXIMANT PHASES IN QUASICRYSTALS; 1 Introduction

2 The structure of the T-Al3(Mn,Pd) quasicrystalline approximant phase: an example of study of chemical order2.1 Description of the structure: Layer structure and icosahedral clusters; 3 The structure of the ξ' phase; 3.1 Description of the structure; Layer structure; Icosahedral clusters; Chemical order; 4 Comparison with other related phases: A general 2-Dim description in terms of packing of pentagons; 5 Relation with decagonal quasicrystals; 6 Conclusions; Acknowledgments; References; PHASONS AND EXPERIMENTAL EVIDENCE; 1 Introduction; 2 Deterministic quasicrystals

2.1 Definition of the deterministic quasicrystal2.2 Fourier spectrum and uniform phason shifts; 2.3 Continuous phasons vs. atomic jumps; 2.4 Constraints on atomic jumps; 2.5 High-dimensional periodic structure and atomic surfaces; 3 Entropy stabilized quasicrystals; 3.1 Random tilings; 3.2 Uniform and non-uniform phason shift; 3.3 Coarse-grained entropy; 3.4 Diffraction on random quasicrystals; 3.5 Phason elasticity; 4 Phase transition between random and deterministic quasicrystals; 4.1 Defects, their entropy and energy cost; 4.2 Two-dimensional quasiperiodicity

4.3 Three-dimensional quasiperiodicity5 Physics of dynamic phasons; 5.1 Quasielastic scattering of particles; 5.2 Tunneling states and phasons; 5.3 Transfer of matter by phasons; 6 Experimental evidences; 6.1 Quasielastic neutron scattering; 6.2 Mössbauer spectroscopy; 6.3 Two-level systems; 6.4 Atomic diffusion; 6.5 Diffuse scattering and Debye-Waller factor; Acknowledgments; References; CLUSTER COVERINGS: A POWERFUL ORDERING PRINCIPLE FOR QUASICRYSTALS; 1 Introduction; 2 Gummelt's aperiodic decagon; 3 An octagonal cluster model; 4 Discussion and conclusion; References

STATISTICAL PHYSICS OF ALLOYS: CHEMICAL EFFECTS, DISPLACEMENTS, DIFFUSE SCATTERING, AND APPLICATION TO QUASICRYSTALS

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

9789812793201

9812793208