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Symmetry and Elements of Group Theory

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/9780199216949.003.0006
Subject:
Physics, Crystallography

This chapter covers the rudiments of group theory, with emphasis on the use of the character tables of molecular point groups. The chapter begins with the identification of the symmetry elements a ... More


Elements of group theory

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/9780199670888.003.0007
Subject:
Physics, Crystallography

This chapter introduces group theory and the rules governing mathematical groups, of which point groups and space groups are examples. Group multiplication tables and their uses are described with ... 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


Space groups

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/9780199670888.003.0005
Subject:
Physics, Crystallography

Space groups in one, two and three dimensions are studied, with copious illustrations, including stereoscopic views. Limiting conditions on X-ray reflection from crystals are introduced first ... More


The physical properties of crystals and their description by tensors

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/9780198738671.003.0014
Subject:
Physics, Crystallography, Condensed Matter Physics / Materials

The chapter starts with a general introduction of the topics covered here. If provides an ‘everyday’ example or analogy of a tensor property and a description of suffix notation. The chapter then ... More


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