The role of projection operators in the theory of N-beam diffraction and the inversion of three-beam elastic scattering intensities

A.C. Hurley; A.F. Moodie; Andrew Johnson; Paul Abbott

doi:10.1107/S0108767398012598

The role of projection operators in the theory of N-beam diffraction and the inversion of three-beam elastic scattering intensities

A.C. Hurley
, A.F. Moodie
, Andrew Johnson
, Paul Abbott

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

Commencing from a projection-operator description of N-beam diffraction, the mathematical basis for the recovery of phase and amplitude information from a three-beam convergent-beam electron diffraction pattern is given for both the centrosymmetric and noncentrosymmetric cases. The algebra is available in Mathematica Notebook form from the URL ftp://ftp.physics.uwa.edu.au/pub/EMC/3BeamAlgebra.nb.

Original language	English
Pages (from-to)	216-219
Journal	Acta Crystallographica Section A
Volume	A55
Issue number	N/A
DOIs	https://doi.org/10.1107/S0108767398012598
Publication status	Published - 1999

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10.1107/S0108767398012598

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title = "The role of projection operators in the theory of N-beam diffraction and the inversion of three-beam elastic scattering intensities",

abstract = "Commencing from a projection-operator description of N-beam diffraction, the mathematical basis for the recovery of phase and amplitude information from a three-beam convergent-beam electron diffraction pattern is given for both the centrosymmetric and noncentrosymmetric cases. The algebra is available in Mathematica Notebook form from the URL ftp://ftp.physics.uwa.edu.au/pub/EMC/3BeamAlgebra.nb.",

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AU - Hurley, A.C.

AU - Moodie, A.F.

AU - Johnson, Andrew

AU - Abbott, Paul

PY - 1999

Y1 - 1999

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AB - Commencing from a projection-operator description of N-beam diffraction, the mathematical basis for the recovery of phase and amplitude information from a three-beam convergent-beam electron diffraction pattern is given for both the centrosymmetric and noncentrosymmetric cases. The algebra is available in Mathematica Notebook form from the URL ftp://ftp.physics.uwa.edu.au/pub/EMC/3BeamAlgebra.nb.

U2 - 10.1107/S0108767398012598

DO - 10.1107/S0108767398012598

M3 - Article

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EP - 219

JO - Acta Crystallographica Section A

JF - Acta Crystallographica Section A

IS - N/A

ER -

The role of projection operators in the theory of N-beam diffraction and the inversion of three-beam elastic scattering intensities

Abstract

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