Theory of phase correlations in localized inelastic electron diffraction and imaging

Wang, Zhong Lin; Bentley, J.

doi:10.1016/0304-3991(91)90119-q

Cited by 14 publications

(9 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[9][10][11][12][13] Recently, the TDS streaks in TED have been analyzed by semiclassical theory as well as by quantum mechanical theory. [11][12][13] In brief, the TED TDS pattern can be expressed by the convolution of the dynamical elastic diffraction pattern with the kinematical TDS scattering function. The kinematical TDS scattering function is caused by the short-range coherency created by phonon scattering, that is, the vibrational phase correlation.…”

mentioning

confidence: 99%

Direct method of surface structure determination by Patterson analysis of correlated thermal diffuse scattering forSi(001)2×1

et al. 2000

View full text Add to dashboard Cite

A simple oscillatory intensity variation in medium-energy electron diffraction found recently ͓Abukawa et al., Phys. Rev. Lett. 82, 335 ͑1999͔͒ was termed correlated thermal diffuse scattering ͑CTDS͒. The potential of CTDS as a direct surface structural tool has been fully explored for the Si(001)2ϫ1 surface at 300 K in a very-grazing-incidence condition. Nearly 2 solid-angle, three-dimensional ͑3D͒ CTDS patterns were measured for an energy range of 500-2000 eV. The 3D Patterson functions obtained by Fourier inversion of the measured CTDS patterns clearly revealed the building blocks of the Si(001)2ϫ1 surface, i.e., the bond orientations and lengths of the buckled Si dimers, within an accuracy of 1°and 0.1 Å, respectively. PHYSICAL REVIEW B 15

show abstract

mentioning

confidence: 99%

Direct method of surface structure determination by Patterson analysis of correlated thermal diffuse scattering forSi(001)2×1

et al. 2000

View full text Add to dashboard Cite

show abstract

“…A general feature in the TDS diffraction pattern is that all the streaks run along the lines interconnecting the Bragg peaks. For a monoatomic cubic structure, a simple rule has been proposed to directly predict the directions of the streaks in diffraction patterns from the unit-cell structure of the crystal (Wang & Bentley, 1991). This is a distinct difference from the diffuse scattering produced by SRO of point defects, as shown in Fig.…”

Section: Introductionmentioning

confidence: 99%

Electron Statistical Dynamical Diffuse Scattering in Crystals Containing Short-Range-Order Point Defects

Wang¹

1996

Acta Cryst Sect A

View full text Add to dashboard Cite

A formal statistical dynamical theory is developed to calculate diffuse scattering produced by short-range order (SRO) in a distorted crystal structure with consideration of atomic thermal vibrations. Diffuse scattering not only produces fine details in diffraction patterns but also introduces a non-local imaginary potential function that reduces the intensities of the Bragg reflected beams. The distribution of the diffusely scattered electrons and the Fourier coefficients of the absorption potential are directly related to a dynamic form factor S(Q,Q'), which has been calculated with consideration of SRO in the distorted lattices. The statistical structure average on imperfections is performed analytically and the final result is correlated to Cowley's short-range-order parameters. The theory is formulated in the Bloch-wave scheme (Bethe theory) for the convenience of numerical calculation in transmission electron diffraction. A rigorous theoretical proof is given to show that the inclusion of a complex potential in the dynamical calculation automatically recovers the contributions made by the high-order diffuse scattering, although the calculation is done using the equation derived for single diffuse scattering. This simply expands the capability of conventional single diffuse scattering theories. Therefore, the complex potential has a much richer meaning than the conventional interpretation of absorption effect.

show abstract

“…Although the characteristic features of the diffuse scattering can be described using the kinematical diffraction theory (Cowley 1995), dynamical calculation is crucial for quantifying the data. Numerous dynamical theories have been developed to calculate the diffraction patterns and images of thermal diffusely scattered electrons based on the multislice theory (Fanidis, Van Dyck, Coene and Van Landuyt 1989, Coene and Van Dyck 1990, Wang 1991, 1992a, b, 1995a, Wang and Bentley 1991, Dinges, Berger and Rose 1995, the Bloch wave approach (Howie 1963, Rez, Humphreys and Whelan, 1977, Rossouw, 1985, Rossouw and Bursill 1985 and the Green function approach (Dudarev, Peng andRyazanov 199 1, Dudarev, Vvedensky andWhelan 1994, Wang andLi, 1995). Each of these theories was developed for specific applications, but all of them were based on the first-order diffuse scattering approximation, or the distorted-wave Born approximation (DWBA) (Duke andLaramore 1971, Duke andLandman 1972), which means that only a single diffuse scattering is included although multiple elastic scattering has been considered.…”

mentioning

confidence: 99%

Statistical multiple diffuse scattering in a distorted crystal system: An exact theory

Wang

1996

Philosophical Magazine B

View full text Add to dashboard Cite

Theory of phase correlations in localized inelastic electron diffraction and imaging

Cited by 14 publications

References 35 publications

Direct method of surface structure determination by Patterson analysis of correlated thermal diffuse scattering forSi(001)2×1

Direct method of surface structure determination by Patterson analysis of correlated thermal diffuse scattering forSi(001)2×1

Electron Statistical Dynamical Diffuse Scattering in Crystals Containing Short-Range-Order Point Defects

Statistical multiple diffuse scattering in a distorted crystal system: An exact theory

Contact Info

Product

Resources

About