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Diffraction by a three‐dimensional lattice

Dennis Sherwood and Jon Cooper

in Crystals, X-rays and Proteins: Comprehensive Protein Crystallography

Published in print:
2010
Published Online:
January 2011
ISBN:
9780199559046
eISBN:
9780191595028
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199559046.003.0008
Subject:
Physics, Crystallography: Physics

This chapter describes the basis of X-ray diffraction by a three-dimensional crystal and introduces the Laue equations which describe the geometric conditions for constructive interference of X-rays ... More


X-ray diffraction: the contributions of Max von Laue, W. H. and W. L. Bragg and P. P. Ewald

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/9780198738671.003.0008
Subject:
Physics, Crystallography: Physics, Condensed Matter Physics / Materials

The chapter starts with an historical introduction to the topics covered here. It describes Laue's analysis of X-ray diffraction, i.e. how to derive the three Laue equations. It moves on to provide ... 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: Physics

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


X-ray Diffraction: The Reciprocal Lattice

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/9780198742906.003.0009
Subject:
Physics, Condensed Matter Physics / Materials

This chapter analyzes the diffraction of X-rays from crystals. The wavelengths of X-rays can be of the same order as the interatomic spacings in crystals. In optics we are familiar with the fact that ... More


Bragg’s Law: Diffraction

Brian Cantor

in The Equations of Materials

Published in print:
2020
Published Online:
September 2020
ISBN:
9780198851875
eISBN:
9780191886683
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198851875.003.0002
Subject:
Physics, Condensed Matter Physics / Materials, Theoretical, Computational, and Statistical Physics

The diffraction of X-rays is used as the main method for determining the atomic and molecular structures of inorganic and biological materials. The basic law of diffraction was discovered by Lawrence ... More


Diffraction in the Static Approximation

Andrew T. Boothroyd

in Principles of Neutron Scattering from Condensed Matter

Published in print:
2020
Published Online:
October 2020
ISBN:
9780198862314
eISBN:
9780191895081
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198862314.003.0002
Subject:
Physics, Atomic, Laser, and Optical Physics, Condensed Matter Physics / Materials

The basic principles of crystallography are reviewed, including the lattice, basis and reciprocal lattice. The Bragg diffraction law and Laue equation, which describe coherent scattering from a ... More


Diffraction

Jenny Pickworth Glusker and Kenneth N. Trueblood

in Crystal Structure Analysis: A Primer

Published in print:
2010
Published Online:
November 2020
ISBN:
9780199576340
eISBN:
9780191917905
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199576340.003.0011
Subject:
Chemistry, Crystallography: Chemistry

A common approach to crystal structure analysis by X-ray diffraction presented in texts that have been written for nonspecialists involves the Bragg equation, and a discussion in terms of ... More


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