The contrast of defects in inelastically scattered electrons

Rez, Peter

doi:10.1107/s0108767383001415

Cited by 11 publications

(8 citation statements)

References 15 publications

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“…Images of stacking faults and dislocations formed by phonon-and plasmon-scattered electrons were first calculated by Melander (1975) and Melander andSandstrom (1975a and1975b). An equivalent approach was proposed by Rez (1976Rez ( , 1983) based on Yoshioka equations.…”

Section: Diffraction Contrast Images Of Inelastically Scattered Electmentioning

confidence: 99%

“…Following the same procedure as demonstrated for a stacking fault, Eq. (8.48) can be written in matrix form for the inelastic wave with n = 1,2 ... (Rez, 1983) d.n(z)…”

Section: Diffraction Contrast Imaging Of Single Inelastically Scattermentioning

confidence: 99%

“…Electrons that have excited different crystal states are incoherent. In practice, HRTEM images are formed by interferences of electrons elastically scattered to different Bragg beams (Wang and Bentley, 1991a;Rez, 1993). Therefore lattice images can be formed by diffracted inelastic electrons after exciting the same crystal state of (en, q) (Shuman et al, 1986;Hashimoto et al, 1992).…”

Section: Inelastic Scattering In High-resolution Transmission Electromentioning

confidence: 99%

“…In practice, however, the phonon contributions to a real image is the sum over many phonon modes, and each is equivalent to illuminating the specimen from a different angle. It is likely that such averaging attenuates high-resolution details (Rez, 1993).…”

Section: Contribution Of Phonon-scattered Electronsmentioning

confidence: 99%

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Elastic and Inelastic Scattering in Electron Diffraction and Imaging

Wang

1995

143

101

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All rights reservedNo part of this book may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording, or otherwise, without written permission from the Publisher Preface Elastic and inelastic scattering in transmission electron microscopy (TEM) are important research subjects. For a long time, I have wished to systematically summarize various dynamic theories associated with quantitative electron microscopy and their applications in simulations of electron diffraction patterns and images. This wish now becomes reality. The aim of this book is to explore the physics in electron diffraction and imaging and related applications for materials characterizations. Particular emphasis is placed on diffraction and imaging of inelastically scattered electrons, which, I believe, have not been discussed extensively in existing books. This book assumes that readers have some preknowledge of electron microscopy, electron diffraction, and quantum mechanics. I anticipate that this book will be a guide to approaching phenomena observed in electron microscopy from the prospects of diffraction physics.The SI units are employed throughout the book except for angstrom (A), which is used occasionally for convenience. To reduce the number of symbols used, the Fourier transform of a real-space function P'(r), for example, is denoted by the same symbol P'(u) in reciprocal space except that r is replaced by u. Upper and lower limits of an integral in the book are (-co, co) unless otherwise specified. The (-co, co) integral limits are usually omitted in a mathematical expression for simplification. I very much appreciate opportunity of working with Drs. J. M. Cowley and J. , who have kindly allowed me to use their illustrations and results in the text. v vi Preface This book was written in my spare time after working hours. I am heartily grateful to my wife, Cui Xia Yuan, for her encouragement and understanding. This book would have been impossible without her support.Zhong Lin Wang • New imaging techniques using inelastically scattered electrons: In recent years, great interest has developed in structural determination using inelastically scattered electrons. High-angle annular dark-field imaging in STEM, for example, is based on the signal of high-angle phonon-scattered electrons. This imaging technique may provide atomic-number-sensitive structural information with a resolution superior to conventional bright-field imaging.operator Volume of an atom Dynamic scattering operator xxvi <> <>E J(z,Eo -Lili) LT IE fs(u) e p(r, r', E) s(r, r, flw) Symbols and Definitions Time average Average over system energy Energy distribution function of plural inelastically scattered electrons Laplace transform Energy distribution function of single-loss electrons Angular distribution function of single-loss electrons Three-dimensional solid angle One-particle density matrix Energy-dependent mixed dynamic form factor Sign Conventions Free-space plane wave exp (2n...

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Section: Diffraction Contrast Images Of Inelastically Scattered Electmentioning

confidence: 99%

“…Following the same procedure as demonstrated for a stacking fault, Eq. (8.48) can be written in matrix form for the inelastic wave with n = 1,2 ... (Rez, 1983) d.n(z)…”

Section: Diffraction Contrast Imaging Of Single Inelastically Scattermentioning

confidence: 99%

Section: Inelastic Scattering In High-resolution Transmission Electromentioning

confidence: 99%

Section: Contribution Of Phonon-scattered Electronsmentioning

confidence: 99%

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Elastic and Inelastic Scattering in Electron Diffraction and Imaging

Wang

1995

143

101

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“…Based on the Bloch-wave approach under small-angle approximation, he gave some analytical solutions for phonon excitations under some simplified conditions. By neglecting the joint transitions among the excited states, this Blochwave approach was extensively developed by Rez, Humphreys & Whelan (1977), and Rez (1983). Serneels, Haentjens & Gevers (1980) have proposed an iteration method for solving Yoshioka's coupling equations, which assumes a periodic structure of the crystal.…”

Section: Introductionmentioning

confidence: 99%

A multislice theory of electron inelastic scattering in a solid

Wang¹

1989

Acta Cryst Sect A

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A multislice theory is proposed to solve Yoshioka's coupling equations for elastic and inelastic scattered high-energy electrons in a solid. This method is capable, in principle, of including the non-periodic crystal structures and the electron multiple scattering among all the excited states in the calculations. It is proved that the proposed theory for calculating the energy-filtered inelastic images [Wang (1989). Acta Cryst. A45, 193-199], based on the physical optics approach, is equivalent to the quantum-mechanical theory under some approximations. The basic theory of simulating the energy-filtered inelastic image of core-shell losses and thermal diffuse scattering is outlined.

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Theory of phase correlations in localized inelastic electron diffraction and imaging

Wang

Bentley

1991

Ultramicroscopy

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The contrast of defects in inelastically scattered electrons

Cited by 11 publications

References 15 publications

Elastic and Inelastic Scattering in Electron Diffraction and Imaging

Elastic and Inelastic Scattering in Electron Diffraction and Imaging

A multislice theory of electron inelastic scattering in a solid

Theory of phase correlations in localized inelastic electron diffraction and imaging

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