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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


CHEMICAL LOCALIZATION

V.F. Gantmakher

in Electrons and Disorder in Solids

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198567561
eISBN:
9780191718267
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567561.003.0007
Subject:
Physics, Condensed Matter Physics / Materials

This chapter presents an analysis of experimental data which shows that the metal-insulator transition is possible in materials composed of atoms of only metallic elements. Such a transition may ... More


Shadows of Reality: The Fourth Dimension in Relativity, Cubism, and Modern Thought

Tony Robbin

Published in print:
2006
Published Online:
October 2013
ISBN:
9780300110395
eISBN:
9780300129625
Item type:
book
Publisher:
Yale University Press
DOI:
10.12987/yale/9780300110395.001.0001
Subject:
Society and Culture, Technology and Society

This book investigates different models of the fourth dimension and how these are applied in art and physics. It explores the distinction between the slicing, or Flatland, model and the projection, ... More


Elementary dynamical theory

ANDRÉ AUTHIER

in Dynamical Theory of X-Ray Diffraction

Published in print:
2003
Published Online:
January 2010
ISBN:
9780198528920
eISBN:
9780191713125
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528920.003.0004
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter presents the basic properties of dynamical diffraction in an elementary way. The relationship with the band theory of solids is explained. The fundamental equations of dynamical theory ... More


Intermetallics: Structures, Properties, and Statistics

Walter Steurer and Julia Dshemuchadse

Published in print:
2016
Published Online:
September 2016
ISBN:
9780198714552
eISBN:
9780191782848
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198714552.001.0001
Subject:
Physics, Crystallography

The focus of this book is clearly on the statistics, topology, and geometry of crystal structures and crystal structure types. This allows one to uncover important structural relationships and to ... 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


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

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


Patterns, Crystals, and Projections

Tony Robbin

in Shadows of Reality: The Fourth Dimension in Relativity, Cubism, and Modern Thought

Published in print:
2006
Published Online:
October 2013
ISBN:
9780300110395
eISBN:
9780300129625
Item type:
chapter
Publisher:
Yale University Press
DOI:
10.12987/yale/9780300110395.003.0006
Subject:
Society and Culture, Technology and Society

This chapter focuses on patterns; these were previously believed to be regularly repeating motifs. It was only in 1964 when Robert Berger discovered that nonrepeating patterns actually existed. The ... More


Point group symmetry

Mark Ladd

in Symmetry of Crystals and Molecules

Published in print:
2014
Published Online:
April 2014
ISBN:
9780199670888
eISBN:
9780191781124
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199670888.003.0003
Subject:
Physics, Crystallography

The study of symmetry elements in two and three dimensions is followed by point groups, their derivation and recognition, including an interactive program for point group recognition. Euler’s theorem ... More


Origin and stability

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/9780198824442.003.0006
Subject:
Physics, Crystallography, Condensed Matter Physics / Materials

The origin of the stability of aperiodic systems is very difficult to answer. Often the terms ‘competitive forces’ or ‘frustration’ have been proposed as the origin of stability. The role of Fermi ... More


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