X-ray scattering from stepped and kinked surfaces: An approach with the paracrystal model

Leroy, F.; Lazzari, Rémi; Renaud, Gilles

doi:10.1016/j.susc.2007.02.020

Cited by 10 publications

(10 citation statements)

References 48 publications

(68 reference statements)

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“…Symmetry related faces or edges for polyhedrons can be paired and lead to pronounced interferences effects; intensity distribution have subsidiary spines in the direction perpendicular to welldefined edges. This reminds the notions of crystal truncation rod [11,12] in surface X-ray crystallography or of terrace truncation rod and step truncation rod for vicinal surfaces [215]. A clear experimental illustration of such phenomena in GISAXS was given by Vartanyants and coworkers [216] for Ge/Si quantum dots grown by liquid phase epitaxy.…”

Section: The Fourier Transform Of Particle Shapementioning

confidence: 73%

“…Scattering from stepped surfaces (Ref. [215] and references therein, see Section 9.4.2) is a special application of such paracrystal modeling for which the distances between neighboring terraces is exactly related to their sizes. (c) Actual sample with correlated particles.…”

Section: The Interference Functionmentioning

confidence: 99%

“…• the Au (111) surface reconstruction as a model system [32]; • a kinked vicinal surface of Au (111) [215,489]; • a thin film of Ag strained by a misfit dislocation network buried at the interface with a MgO(001) substrate [488];…”

Section: Self-organized Growth Of Nanostructuresmentioning

confidence: 99%

“…Thus the intensity scattered by the kinked Au(677) surface can be evaluated only by a topographic model. [235,215,489]. The calculation of the intensity scattered by surface morphologies is a classical problem in surface science.…”

Section: The Kinked Au(677) Surface -A Combined Stm and Gisaxs Studymentioning

confidence: 99%

See 3 more Smart Citations

Probing surface and interface morphology with Grazing Incidence Small Angle X-Ray Scattering

Renaud

Lazzari

Leroy

2009

Surface Science Reports

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693

726

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Section: The Fourier Transform Of Particle Shapementioning

confidence: 73%

Section: The Interference Functionmentioning

confidence: 99%

Section: Self-organized Growth Of Nanostructuresmentioning

confidence: 99%

Section: The Kinked Au(677) Surface -A Combined Stm and Gisaxs Studymentioning

confidence: 99%

See 2 more Smart Citations

Probing surface and interface morphology with Grazing Incidence Small Angle X-Ray Scattering

Renaud

Lazzari

Leroy

2009

Surface Science Reports

Self Cite

693

726

View full text Add to dashboard Cite

“…Several approaches for the calculation of the diffuse scattered intensity from geometrical object can be used [25][26][27]. The model used here is based on [28] modified with the effective layer approximation whereby here only the rocking curves are considered.…”

Section: Theoretical Description Of Rocking Curvesmentioning

confidence: 99%

Evaluation of organic sub-monolayers by X-ray based measurements under gracing incident conditions

Werzer

Stadlober²,

Haase³

et al. 2009

Eur. Phys. J. Appl. Phys.

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Abstract.The structural investigations of model organic systems like pentacene on silicon oxide in the monolayer regime is very important for the basic understanding of initial nucleation process together with the electronic performance of transistor devices. A method for the evaluation of the island formation and layer closing of the first monolayer is introduced. The method is based on specular X-ray reflectivity and diffuse scattering and reveal integral information on the coverage together with the size and separation of pentacene islands. The results are in good agreement with AFM investigation that encourages the use of this type of investigation in in-situ experiments.

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Application of the paracrystal model to GISAXS analysis of the 3D self-assembled nanoparticle crystals

Végsö

Šiffalovič

Jergel

et al. 2014

Phys. Status Solidi B

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An original diffraction model for the evaluation of the grazing‐incidence small‐angle X‐ray scattering (GISAXS) of the three‐dimensional (3D) supported self‐assembled nanoparticle crystals is presented. The model utilizes the formalism of traditional crystallography that is applied to nanoparticles as scattering entities. The infinite paracrystal concept was adopted in order to include cumulative disorder that is typical for the self‐assembled nanoparticle structures. Azimuthal averaging around a chosen crystallographic direction allows incorporation of texture effects. A transformation of the SAXS paracrystal equations to comply with the GISAXS geometry was employed to describe the scattering process in the limit of the kinematical approximation which facilitates calculations. The model was developed for the face‐centered cubic (FCC) symmetry, however, its extension to any other cubic symmetry is straightforward. The model was tested on a 3D nanoparticle assembly formed on silicon from a dried drop‐cast colloidal solution of monodisperse silver nanoparticles of 5.8 ± 0.6 nm diameter. Presence of the FCC nanoparticle crystal with the [111] texture along the substrate normal was evidenced from evaluation of the synchrotron GISAXS data. The degree of paracrystal disorder is 2.5% and 3.6% parallel and perpendicular to the substrate, respectively, suggesting the anisotropic character of the self‐assembling process. A SAXS measurement of the nanoparticle crystal formed from the same solution in a capillary revealed a randomly oriented FCC structure with a slightly larger paracrystal disorder of 4%. Obviously, different conditions of the nanoparticle crystal formation affect its azimuthal and translational disorder.

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X-ray scattering from stepped and kinked surfaces: An approach with the paracrystal model

Abstract: International audienc

Cited by 10 publications

References 48 publications

Probing surface and interface morphology with Grazing Incidence Small Angle X-Ray Scattering

Probing surface and interface morphology with Grazing Incidence Small Angle X-Ray Scattering

Evaluation of organic sub-monolayers by X-ray based measurements under gracing incident conditions

Application of the paracrystal model to GISAXS analysis of the 3D self-assembled nanoparticle crystals

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