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The Birth and Rise of the Space‐Lattice Concept

André Authier

in Early Days of X-ray Crystallography

Published in print:
2013
Published Online:
September 2013
ISBN:
9780199659845
eISBN:
9780191748219
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199659845.003.0012
Subject:
Physics, Crystallography

This chapter is devoted to the development of the concept of space lattice during the nineteenth century. The starting point was the establishment of the law of decrements (law of rationality) by ... 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


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


Bravais lattices and crystal systems

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/9780198738671.003.0003
Subject:
Physics, Crystallography, Condensed Matter Physics / Materials

Chapter 3 describes the fourteen Bravais (space) lattices. It looks at centro and non-centrosymmetric (enantiomorphous and non-enantiomorphous) point groups and geometrical relations between the ... More


The 14 3D Bravais lattices

Paolo G. Radaelli

in Symmetry in Crystallography: Understanding the International Tables

Published in print:
2011
Published Online:
December 2013
ISBN:
9780199550654
eISBN:
9780191775093
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199550654.003.0009
Subject:
Physics, Crystallography, Condensed Matter Physics / Materials

This chapter constructs all the possible 3D translation sets compatible with the previously introduced 3D point groups, leading to the well-known fourteen Bravais lattices. For each crystal system, ... 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 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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