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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: Physics

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


STRUCTURE AND DIFFRACTION OF APERIODIC CRYSTALS

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/9780198570820.003.0001
Subject:
Physics, Crystallography: Physics

This chapter gives an introduction to the distinctive structural features of aperiodic crystals, including incommensurately modulated crystals, composite crystals, and quasicrystals. Atomic ... 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: Physics, 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


Structure

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/9780198824442.003.0004
Subject:
Physics, Crystallography: Physics, Condensed Matter Physics / Materials

This chapter discusses the X-ray and neutron diffraction methods used to study the atomic structures of aperiodic crystals, addressing indexing diffraction patterns, superspace, ab initio methods, ... More


Quasicrystals (QCs)

Walter Steurer and Julia Dshemuchadse

in Intermetallics: Structures, Properties, and Statistics

Published in print:
2016
Published Online:
September 2016
ISBN:
9780198714552
eISBN:
9780191782848
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198714552.003.0009
Subject:
Physics, Crystallography: Physics

In this chapter, the two main classes of intermetallic QCs known so far are introduced: decagonal QCs and icosahedral QCs. The terminology “decagonal” and “icosahedral”, respectively, refers to the ... More


Symmetry

Adrian P Sutton

in Concepts of Materials Science

Published in print:
2021
Published Online:
September 2021
ISBN:
9780192846839
eISBN:
9780191938764
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780192846839.003.0005
Subject:
Physics, Condensed Matter Physics / Materials, Theoretical, Computational, and Statistical Physics

Symmetry arises not only in the invariance of an object to certain operations, but also in invariance of the equations governing motion of particles. Noether’s theorem connects continuous symmetries ... 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: Physics, 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


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