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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


SPACE AND TIME PROPERTIES

R. E. Raab and O. L. de Lange

in Multipole Theory in Electromagnetism: Classical, quantum, and symmetry aspects, with applications

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198567271
eISBN:
9780191717970
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567271.003.0003
Subject:
Physics, Atomic, Laser, and Optical Physics

Polar and axial vectors and tensors are defined in terms of their behaviour under coordinate transformations. The effect of the time-reversal operator on kets and matrix elements is considered, ... 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


Point group symmetry

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/9780199670888.003.0003
Subject:
Physics, Crystallography

The study of symmetry elements in two and three dimensions is followed by point groups, their derivation and recognition, including an interactive program for point group recognition. Euler’s theorem ... More


Symmetry around a fixed point

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/9780199550654.003.0001
Subject:
Physics, Crystallography, Condensed Matter Physics / Materials

This chapter presents a few basic symmetry concepts used throughout the book, by describing simple transformations of two-dimensional (2D) patterns around a fixed point. It introduces the graphical ... More


Point groups in 3D

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/9780199550654.003.0008
Subject:
Physics, Crystallography, Condensed Matter Physics / Materials

This chapter analyzes 3D point groups, which represent the rotations of a 3D object around a fixed point that are mutually compatible with a system of translations. It first introduces the inversion ... More


Symmetry of Crystals and Molecules

Mark Ladd

Published in print:
2014
Published Online:
April 2014
ISBN:
9780199670888
eISBN:
9780191781124
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199670888.001.0001
Subject:
Physics, Crystallography

This book provides a comprehensive study of the symmetry and geometry of crystals and molecules, starting from first principles. The pre-knowledge assumed is mathematics and physical science to about ... More


Applications 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/9780199670888.003.0008
Subject:
Physics, Crystallography

Applications to the structure and symmetry of molecules and ions are considered, in terms of both theoretical and experimental procedures. Symmetry adapted atomic orbital studies are applied to the ... 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


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


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


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


Molecular Symmetry

Wai-Kee Li, Hung Kay Lee, Dennis Kee Pui Ng, Yu-San Cheung, Kendrew Kin Wah Mak, and Thomas Chung Wai Mak

in Problems in Structural Inorganic Chemistry

Published in print:
2018
Published Online:
January 2019
ISBN:
9780198823902
eISBN:
9780191862724
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198823902.003.0005
Subject:
Physics, Crystallography, Condensed Matter Physics / Materials

This chapter presents 23 problems covering the subject of molecular symmetry, along with the corresponding solutions.


The stereographic projection and its uses

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/9780198738671.003.0012
Subject:
Physics, Crystallography, Condensed Matter Physics / Materials

This chapter starts by providing an historical introduction by looking at the origin of the stereographic projection (Claudius Ptolemy and the Planispherium). It looks at great and small circles and ... More


‘Many More Worlds to Conquer’: The Feminist Press Beyond Suffrage

Maria DiCenzo and Claire Eustance

in Women's Periodicals and Print Culture in Britain, 1918-1939: The Interwar Period

Published in print:
2018
Published Online:
September 2018
ISBN:
9781474412537
eISBN:
9781474445054
Item type:
chapter
Publisher:
Edinburgh University Press
DOI:
10.3366/edinburgh/9781474412537.003.0025
Subject:
Literature, Women's Literature

This chapter examines periodicals representing two major organisations that made the transition from the pre-war suffrage campaign and survived into the interwar era, the National Union of Societies ... More


Hope

Naomi Paxton

in Stage rights!: The Actresses' Franchise League, activism and politics 1908-58

Published in print:
2018
Published Online:
January 2019
ISBN:
9781526114785
eISBN:
9781526139054
Item type:
chapter
Publisher:
Manchester University Press
DOI:
10.7228/manchester/9781526114785.003.0006
Subject:
Literature, Drama

This chapter begins with the development of the Actresses' Franchise League’s Woman’s Theatre project and its first season in 1913, and considers the idea in the wider context of similar European and ... More


The Essay Series and Feminist Debate: Controversy and Conversation about Women and Work In Time and Tide

Laurel Forster

in Women's Periodicals and Print Culture in Britain, 1918-1939: The Interwar Period

Published in print:
2018
Published Online:
September 2018
ISBN:
9781474412537
eISBN:
9781474445054
Item type:
chapter
Publisher:
Edinburgh University Press
DOI:
10.3366/edinburgh/9781474412537.003.0026
Subject:
Literature, Women's Literature

This chapter considers the ways in which the feminist periodical, Time and Tide, founded by Lady Margaret Rhondda along with the Six Point Group, used the adaptable journalistic device of the essay ... More


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