Inelastic Scattering of Fast Electrons by Thin Crystals

Fujimoto, F.; Kainuma, Yoshiro

doi:10.1143/jpsj.18.1792

Cited by 60 publications

(28 citation statements)

References 6 publications

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“…(58) These expressions coincide with the results of Kainuma (1955), Fujimoto & Kainuma (1963), Okamoto, Ichinokawa & Ohtsuki (1971) and Ohtsuki (1983). One should note that the observed small oscillations of the inelastically scattered electron fan are related to some small terms neglected during the transformation from (54) to (55).…”

Section: -[Y/2(l + Y2)][b°o~(p)+ Sclo(p)]} (57) Q~oo(p+ Hg T)=(t/h){supporting

confidence: 84%

“…intensity of Bragg spots). As is demonstrated below, the first iteration of (23) leads to the Kikuchi pattern intensity distribution discovered by Kainuma (1955), Fujimoto & Kainuma (1963), Okamoto et al (1971) and Ohtsuki (1983). The present paper is concerned with a new approximate solution of the quantum kinetic equation for thick crystals.…”

Section: L/ Vomentioning

confidence: 87%

“…Kainuma (1955), Fujimoto & Kainuma (1963), Okamoto, Ichinokawa & Ohtsuki (1971) and Ohtsuki (1983) calculated the intensity distribution in Kikuchi patterns using the single inelastic scattering approximation. This approximation is only valid for very thin crystals (the thickness should be smaller than the mean free path with respect to inelastic collisions).…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Multiple scattering theory for fast electrons in single crystals and Kikuchi patterns

Dudarev¹,

Ryazanov²

1988

Acta Cryst Sect A

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By solving the kinetic equation for the density matrix of fast electrons the intensity distribution of the diffuse background and the Kikuchi lines and bands is found. It is shown that the Kikuchi pattern contrast depends on the angle of deflection of the scattered particles and the crystal thickness. For a thin crystal the expressions obtained coincide with the usual results found in the single inelastic scattering approximation. The theory takes into account both the dynamical diffraction and multiple inelastic scattering of electrons and gives a simple interpretation of a variety of contrast effects observed in thick single crystals.

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Section: -[Y/2(l + Y2)][b°o~(p)+ Sclo(p)]} (57) Q~oo(p+ Hg T)=(t/h){supporting

confidence: 84%

Section: L/ Vomentioning

confidence: 87%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Multiple scattering theory for fast electrons in single crystals and Kikuchi patterns

Dudarev¹,

Ryazanov²

1988

Acta Cryst Sect A

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“…subsidiary fringes of Kikuchi lines. This fact has been shown in terms of the firstorder perturbation theory (Fujimoto & Kainuma, 1963). These fringes are usually discerned with an appreciable intensity in diffraction patterns of thin crystals• The effect of the neglected terms will be discussed in a later section.…”

Section: The Multislice Methodsmentioning

confidence: 83%

“…The theoretical study on the diffuse intensity was first made by Kainuma (1955) and subsequently by Takagi (1958a,b). Since then a number of theoretical studies have been made (Fujimoto & Kainuma, 1963;Okamoto, Ichinokawa & Ohtsuki, 1971). These theories succeeded in interpretating qualitative features of both Kikuchi lines and bands.…”

Section: Introductionmentioning

confidence: 99%

Analysis of multiple inelastic scattering of electrons incident on crystalline specimens

Yamamoto¹

1980

Acta Cryst Sect A

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An approximate expression is given for describing Bloch-wave amplitudes of electrons which undergo multiple inelastic scattering in crystalline specimens. The expression is derived from differential equations of inelastic scattering given by Howie [Proc. R. Soc. London Ser. A (1963), 271, 268-2871 In the course of the derivation, the differential equations are reduced to a transport equation which has been applied to the analysis of multiple inelastic scattering in noncrystalline specimens. The identity between them is discussed, including the approximations employed. The expression was used to analyze Bloch-wave amplitudes of transmitted electrons at various thicknesses of copper and silicon crystals. It was found that the values of the amplitudes were sensitive to the shape of the interaction potential resulting from the excitation of core electrons. An accurate estimate of the potential will be required in future studies.

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Kikuchi patterns in a high voltage electron microscope

Thomas¹,

Humphreys

1970

Phys. Stat. Sol. (a)

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In a high voltage electron microscope, the Kikuchi patterns from low index planes change considerably as the accelerating voltage is raised above 100 kV. These changes, which result from many‐beam interactions among the systematic reflections, are studied in detail at 100 to 1000 kV in f.c.c, b.c.c., and h.c.p, metals having a wide range of atomic numbers. In addition, a new method for calculating both conventional and high voltage Kikuchi patterns is given. The method is based on a simple theoretical relationship between Kikuchi patterns and many‐beam rocking curves, and thus avoids the mathematical complications of previous theories of Kikuchi patterns. This method also leads to considerable physical insight into Kikuchi patterns and into their relation to the diffraction channelling behavior of electrons in crystals, and explains, for the first time, the anomalous 100 kV Kikuchi patterns from the (111) planes of diamond cubic materials.

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Inelastic Scattering of Fast Electrons by Thin Crystals

Cited by 60 publications

References 6 publications

Multiple scattering theory for fast electrons in single crystals and Kikuchi patterns

Multiple scattering theory for fast electrons in single crystals and Kikuchi patterns

Analysis of multiple inelastic scattering of electrons incident on crystalline specimens

Kikuchi patterns in a high voltage electron microscope

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