Practical computation of amplitudes and phases in electron diffraction

P. G. Self; M. A. O'Keefe; P R Buseck; A. E C Spargo

doi:10.1016/0304-3991(83)90053-0

Practical computation of amplitudes and phases in electron diffraction

P. G. Self, M. A. O'Keefe, P R Buseck, A. E C Spargo

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16 Scopus citations

Abstract

This paper reviews the methods of numerically computing the values of fast-electron diffraction amplitudes. The procedures for accurate use of these methods are discussed in detail. Particular attention has been given to the two theories of electron diffraction that are most readily applied to numerical evaluation, these two theories being the eigenstate (Bloch wave) and multislice theories. Examples of computed results are given for each of the methods discussed, and it is shown that in order to obtain accurate results the beams included in a calculation must extend out in reciprocal space to inverse spacing values of approximately 40 nm^-1. From the examples given, a comparison of the methods is made and the relative merits of each method is discussed.

Original language	English (US)
Pages (from-to)	35-52
Number of pages	18
Journal	Ultramicroscopy
Volume	11
Issue number	1
DOIs	https://doi.org/10.1016/0304-3991(83)90053-0
State	Published - 1983

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Instrumentation

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10.1016/0304-3991(83)90053-0

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title = "Practical computation of amplitudes and phases in electron diffraction",

abstract = "This paper reviews the methods of numerically computing the values of fast-electron diffraction amplitudes. The procedures for accurate use of these methods are discussed in detail. Particular attention has been given to the two theories of electron diffraction that are most readily applied to numerical evaluation, these two theories being the eigenstate (Bloch wave) and multislice theories. Examples of computed results are given for each of the methods discussed, and it is shown that in order to obtain accurate results the beams included in a calculation must extend out in reciprocal space to inverse spacing values of approximately 40 nm-1. From the examples given, a comparison of the methods is made and the relative merits of each method is discussed.",

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AU - Self, P. G.

AU - O'Keefe, M. A.

AU - Buseck, P R

AU - Spargo, A. E C

N1 - Funding Information: The financiasl upporto f the AustralianG overn-ment, the Science and Engineering Research Council of the UK and grant EAR-7926375f rom the Earth Sciences Division of the National Science Foundationis acknowledged.

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Y1 - 1983

N2 - This paper reviews the methods of numerically computing the values of fast-electron diffraction amplitudes. The procedures for accurate use of these methods are discussed in detail. Particular attention has been given to the two theories of electron diffraction that are most readily applied to numerical evaluation, these two theories being the eigenstate (Bloch wave) and multislice theories. Examples of computed results are given for each of the methods discussed, and it is shown that in order to obtain accurate results the beams included in a calculation must extend out in reciprocal space to inverse spacing values of approximately 40 nm-1. From the examples given, a comparison of the methods is made and the relative merits of each method is discussed.

AB - This paper reviews the methods of numerically computing the values of fast-electron diffraction amplitudes. The procedures for accurate use of these methods are discussed in detail. Particular attention has been given to the two theories of electron diffraction that are most readily applied to numerical evaluation, these two theories being the eigenstate (Bloch wave) and multislice theories. Examples of computed results are given for each of the methods discussed, and it is shown that in order to obtain accurate results the beams included in a calculation must extend out in reciprocal space to inverse spacing values of approximately 40 nm-1. From the examples given, a comparison of the methods is made and the relative merits of each method is discussed.

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Practical computation of amplitudes and phases in electron diffraction

Abstract

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