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SUPERSTRUCTURES AND THE COMMENSURATE APPROXIMATION

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/9780198570820.003.0005
Subject:
Physics, Crystallography: Physics

This chapter develops the relation between crystal structures of aperiodic crystals and superstructures. Superstructures are described as commensurately modulated structures, and it is shown that ... More


Incommensurate systems

Robert Blinc

in Advanced Ferroelectricity

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199570942
eISBN:
9780191728631
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199570942.003.0002
Subject:
Physics, Condensed Matter Physics / Materials

Incommensurate systems show long‐range order, but lack translational periodicity. They cannot be described within the three‐dimensional lattice space groups. In these systems a local atomic property ... 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


Steric Strain

I. David Brown

in The Chemical Bond in Inorganic Chemistry

Published in print:
2016
Published Online:
November 2016
ISBN:
9780198742951
eISBN:
9780191802935
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198742951.003.0011
Subject:
Physics, Crystallography: Physics, Condensed Matter Physics / Materials

Steric strain arises when the chemically predicted bond networks cannot be mapped into three-dimensional space (Section 11.1) without stretching or compressing the bonds. Strain is measured by the ... More


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