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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


Introduction to symmetry and diffraction

William Clegg

in Crystal Structure Analysis: Principles and Practice

Published in print:
2009
Published Online:
September 2009
ISBN:
9780199219469
eISBN:
9780191722516
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199219469.003.0002
Subject:
Physics, Crystallography

This chapter explores how a crystal structure and its diffraction pattern are related, with reference to aspects of symmetry. Pure translation symmetry is characteristic of crystal structures, ... More


Basics of crystallography, part 3

Ulrich Müller

in Symmetry Relationships between Crystal Structures: Applications of Crystallographic Group Theory in Crystal Chemistry

Published in print:
2013
Published Online:
December 2013
ISBN:
9780199669950
eISBN:
9780191775086
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199669950.003.0006
Subject:
Physics, Crystallography, Condensed Matter Physics / Materials

The molecular symmetry is called the point group of the molecule. A point group can be represented by a set of matrices W. The point group of a crystal is the symmetry group of the bundle of normals ... 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


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


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