Analytical Theory of Diffuse Scattering from Distributions of Non-overlapping Structures

Uimin, G.; Lindgård, Per‐Anker

doi:10.1107/s0108767396007180

Cited by 10 publications

(3 citation statements)

References 17 publications

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“…In the non-ideal case, a statistical description of the surface is necessary. Since the pioneer work of Lent and Cohen [503] and Pukite et al [504], many analytical results have been obtained [505,506]. However until now these calculations were based on a 1D description of the surface topography and focused on Spot Profile Analysis Low Energy Electron Diffraction (SPA-LEED) [507,508], Helium Atom Scattering (HAS) [136,509,510] or Reflection High Energy Electron Diffraction (RHEED) [511] techniques.…”

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

confidence: 98%

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

Renaud

Lazzari

Leroy

2009

Surface Science Reports

693

726

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

confidence: 98%

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

Renaud

Lazzari

Leroy

2009

Surface Science Reports

693

726

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“…The scattering generated by sequences of objects of different types, with phase shift between two consecutive objects depending on their type, was investigated in a pioneering work by Hendricks and Teller (HT) [23]. Recently, a general matrix scheme, the phase-matrix method [15,24] has been developed, to calculate analytically the intensity diffracted by a succession of objects, of variable lengths and different structure factors. By incorporating phase terms inside the matrix P(1), the diagonalization problem is substituted by a matrix inversion.…”

Section: Model For the Disorder Between The Blocks Of Dimersmentioning

confidence: 99%

Diffraction analysis of a disordered surface, modelled on a probability distribution of reconstructed blocks: ,n= 6.45

Jedrecy

Gavioli

Mariani

et al. 1999

J. Phys.: Condens. Matter

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Bismuth adsorbs on the surface in the form of rows of dimers. Missing-dimer lines (MDLs) are created perpendicularly every n units, leading to periodicity. Depending on the coverage, n can vary from 12 to 5. We investigated by grazing incidence x-ray diffraction the structure, with n = 6.45. The disorder in the MDL periodicity, as well as the defects along the MDL, reduce considerably the correlation length of the reconstructed domains. As a consequence, the integrated intensity of each reflection must be corrected, evaluating the trace of the resolution function across the diffraction node. The structural refinement, based on the as-derived intensities, provides the Bi dimer bond length (3.11 Å), the Si atom positions (bulklike), and the height of the Bi plane with respect to Si (1.88 Å). In addition, we give evidence that the dimers are displaced along the row from ideal positions towards the MDL (from 0.15 to 0.50 Å). Last, the diffraction profiles are calculated, on the basis of a probability distribution of cells (n = 6, 7, 1), using the phase-matrix method. The average positions of the fractional peaks are related to the concentration of each type of cell. The width and the intensity of the second order peaks, compared to those of the first order peaks, allow us to account for the aggregation tendency.

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“…Therefore it is impossible to describe the scattered intensity as the multiplication of the square modulus of the form factor of the terrace width (averaged over the widths distribution) by an interference function. Several authors have addressed this problem and some analytical results have been obtained assuming generic distributions of terrace widths [13,14,15,16,17,18]. We propose here a method based on the paracrystal model [19,20,21] and an appropriate choice of the elementary scattering object at the atomic scale to evaluate the scattered intensity from stepped or kinked surfaces.…”

Section: Introductionmentioning

confidence: 99%

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

Leroy¹,

Lazzari²,

Renaud³

2007

Surface Science

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Analytical Theory of Diffuse Scattering from Distributions of Non-overlapping Structures

Cited by 10 publications

References 17 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

Diffraction analysis of a disordered surface, modelled on a probability distribution of reconstructed blocks: ,n= 6.45

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

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