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Incommensurate Crystallography

Sander van Smaalen

Published in print:
2007
Published Online:
January 2008
ISBN:
9780198570820
eISBN:
9780191718762
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570820.001.0001
Subject:
Physics, Crystallography

Aperiodic crystals are crystalline materials with atomic structures that lack translational symmetry. This book gives a comprehensive account of the superspace theory for the description of the ... More


PHYSICAL PROPERTIES

Ted Janssen, Gervais Chapuis, and Marc de Boissieu

in Aperiodic Crystals: From Modulated Phases to Quasicrystals

Published in print:
2007
Published Online:
September 2007
ISBN:
9780198567776
eISBN:
9780191718335
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567776.003.0006
Subject:
Physics, Crystallography

This chapter discusses the physical properties of aperiodic crystals. Topics covered include tensorial properties, hydrodynamics, phonons, phasons, non-linear excitations, and electrons. It is shown ... More


Aperiodic Crystals: From Modulated Phases to Quasicrystals

Ted Janssen, Gervais Chapuis, and Marc de Boissieu

Published in print:
2007
Published Online:
September 2007
ISBN:
9780198567776
eISBN:
9780191718335
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567776.001.0001
Subject:
Physics, Crystallography

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. ... More


STRUCTURE

Ted Janssen, Gervais Chapuis, and Marc de Boissieu

in Aperiodic Crystals: From Modulated Phases to Quasicrystals

Published in print:
2007
Published Online:
September 2007
ISBN:
9780198567776
eISBN:
9780191718335
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567776.003.0004
Subject:
Physics, Crystallography

This chapter discusses the methods for determining the structure of crystals. Topics covered include diffraction techniques, determination of modulated phases and composites, structure determination ... More


DESCRIPTION AND SYMMETRY OF APERIODIC CRYSTALS

Ted Janssen, Gervais Chapuis, and Marc de Boissieu

in Aperiodic Crystals: From Modulated Phases to Quasicrystals

Published in print:
2007
Published Online:
September 2007
ISBN:
9780198567776
eISBN:
9780191718335
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567776.003.0002
Subject:
Physics, Crystallography

This chapter discusses aperiodic crystals. The structure and symmetry of quasiperiodic crystals can be described by embedding them into a higher-dimensional space as lattice periodic structures. ... More


INTRODUCTION

Ted Janssen, Gervais Chapuis, and Marc de Boissieu

in Aperiodic Crystals: From Modulated Phases to Quasicrystals

Published in print:
2007
Published Online:
September 2007
ISBN:
9780198567776
eISBN:
9780191718335
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567776.003.0001
Subject:
Physics, Crystallography

This introductory chapter discusses periodic and quasiperiodic crystals. Perfect quasiperiodic crystals and periodic crystals have sharp Bragg peaks, on the positions of a Fourier module. When the ... More


OTHER TOPICS

Ted Janssen, Gervais Chapuis, and Marc de Boissieu

in Aperiodic Crystals: From Modulated Phases to Quasicrystals

Published in print:
2007
Published Online:
September 2007
ISBN:
9780198567776
eISBN:
9780191718335
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567776.003.0007
Subject:
Physics, Crystallography

The study of aperiodic crystals has been essentially based on diffraction methods. The characterization of diffracted intensities with a number of integer indices equal to its rank rather than its ... More


DETERMINATION OF THE SUPERSPACE GROUP

Sander Van Smaalen

in Incommensurate Crystallography

Published in print:
2007
Published Online:
January 2008
ISBN:
9780198570820
eISBN:
9780191718762
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570820.003.0009
Subject:
Physics, Crystallography

This chapter presents the steps that are required to determine the superspace group of an aperiodic crystal from its diffraction pattern. This includes the analysis of the metric of the reciprocal ... More


ORIGIN AND STABILITY

Ted Janssen, Gervais Chapuis, and Marc de Boissieu

in Aperiodic Crystals: From Modulated Phases to Quasicrystals

Published in print:
2007
Published Online:
September 2007
ISBN:
9780198567776
eISBN:
9780191718335
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567776.003.0005
Subject:
Physics, Crystallography

This chapter begins with a discussion of the mechanisms for creating aperiodicity. It then discusses the Landau theory of phase transitions, semi-microscopic models, composites, electronic ... More


Other topics

Ted Janssen, Gervais Chapuis, and Marc de Boissieu

in Aperiodic Crystals: From Modulated Phases to Quasicrystals: Structure and Properties

Published in print:
2018
Published Online:
August 2018
ISBN:
9780198824442
eISBN:
9780191863288
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198824442.003.0007
Subject:
Physics, Crystallography, Condensed Matter Physics / Materials

The law of rational indices to describe crystal faces was one of the most fundamental law of crystallography and is strongly linked to the three-dimensional periodicity of solids. This chapter ... More


Introduction

Ted Janssen, Gervais Chapuis, and Marc de Boissieu

in Aperiodic Crystals: From Modulated Phases to Quasicrystals: Structure and Properties

Published in print:
2018
Published Online:
August 2018
ISBN:
9780198824442
eISBN:
9780191863288
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198824442.003.0001
Subject:
Physics, Crystallography, Condensed Matter Physics / Materials

First a general description of the concept of crystalline structures is presented with some historical background information. The classical approach of periodic structures is presented along with ... More


Aperiodic Crystals: From Modulated Phases to Quasicrystals: Structure and Properties

Ted Janssen, Gervais Chapuis, and Marc de Boissieu

Published in print:
2018
Published Online:
August 2018
ISBN:
9780198824442
eISBN:
9780191863288
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198824442.001.0001
Subject:
Physics, Crystallography, Condensed Matter Physics / Materials

Until the 1970s all materials studied consisted of periodic arrays of unit cells, or were amorphous. In the following decades a new class of solid state matter, called aperiodic crystals, has been ... More


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