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Symmetry in Crystals

Wai-Kee Li, Gong-Du Zhou, and Thomas Chung Wai Mak

in Advanced Structural Inorganic Chemistry

Published in print:
2008
Published Online:
May 2008
ISBN:
9780199216949
eISBN:
9780191711992
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199216949.003.0009
Subject:
Physics, Crystallography

The symmetry properties of molecules were discussed in Chapter 6, and the corresponding properties of crystals are presented here. In contrast to discrete molecules, crystals have a lattice structure ... More


Crystal symmetry and X-ray diffraction

ANGELO GAVEZZOTTI

in Molecular Aggregation: Structure analysis and molecular simulation of crystals and liquids

Published in print:
2006
Published Online:
January 2010
ISBN:
9780198570806
eISBN:
9780191718779
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570806.003.0005
Subject:
Physics, Atomic, Laser, and Optical Physics

The study of crystal symmetry started as a study of the symmetry of macroscopic crystalline objects, mostly minerals. When it was realised that external symmetry reflected the internal symmetry of ... More


Describing lattice planes and directions in crystals: Miller indices and zone axis symbols

Christopher Hammond

in The Basics of Crystallography and Diffraction

Published in print:
2015
Published Online:
August 2015
ISBN:
9780198738671
eISBN:
9780191801938
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198738671.003.0005
Subject:
Physics, Crystallography, Condensed Matter Physics / Materials

Chapter 5 considers indexing lattice planes and directions, relating to Miller indices and zone axis symbols. It also considers lattice plane spacings, relating to Miller indices and Laue indices. ... More


Fundamental crystallography

Xiaodong Zou, Sven Hovmöller, and Peter Oleynikov

in Electron Crystallography: Electron Microscopy and Electron Diffraction

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199580200
eISBN:
9780191731211
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199580200.003.0002
Subject:
Physics, Crystallography

The basic concepts of crystallography, including unit cell, symmetry, crystal systems and origin specification are introduced. Bravais lattice, point groups, plane groups and space groups are ... More


Lattices

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/9780199670888.003.0004
Subject:
Physics, Crystallography

The definition of ‘lattice’ in one, two, and three dimensions is discussed, together with the choice of unit cell. The Bravais lattices are explained with stereoscopic illustrations, system by ... More


Computer-assisted studies

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/9780199670888.003.0009
Subject:
Physics, Crystallography

This short chapter introduces and explains the operation of the computer programs specially devised to assist in the study of the text and the solving of the problems. It covers the derivations of ... More


Diffraction Physics: Scattering by Crystals

Wim H. de Jeu

in Basic X-Ray Scattering for Soft Matter

Published in print:
2016
Published Online:
June 2016
ISBN:
9780198728665
eISBN:
9780191795442
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198728665.003.0004
Subject:
Physics, Crystallography, Soft Matter / Biological Physics

In this chapter diffraction by crystals is considered, the heart of classical crystallography. This is a vast topic and specific choices have to be made, keeping applications to soft matter in mind. ... More


Lattices and Crystal Structures

J. B. Ketterson

in The Physics of Solids

Published in print:
2016
Published Online:
December 2016
ISBN:
9780198742906
eISBN:
9780191821523
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198742906.003.0008
Subject:
Physics, Condensed Matter Physics / Materials

This chapter begins with a definition of space lattice. For most pure materials, the lowest energy state at low temperatures is a crystalline solid, where the atoms or molecules making up the ... More


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