Monte Carlo simulations for a kinetic growth model

AbstractWe present results of Monte Carlo simulations of irreversible diffusion-mediated nucleation and growth of square islands during deposition. This model mimics metal-on-fcc(100) metal epitaxy at lower temperatures. Our analysis focuses on the scaling of the island size and separation distributions, and their evolution with coverage. The depletion in the density of nearby island pairs is shown to produce a “Henzler ring” structure in the diffraction intensity profile.

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Surface Selective Deconstruction

Fractals ◽

10.1142/s0218348x97000322 ◽

1997 ◽

Vol 05 (03) ◽

pp. 327-332 ◽

Cited By ~ 6

Author(s):

A. P. Reverberi ◽

E. Scalas

Keyword(s):

Monte Carlo ◽

Monte Carlo Simulations ◽

Growth Model ◽

Fourth Order ◽

Scaling Laws ◽

Chemical Processes ◽

Langevin Equations ◽

Order Linear ◽

Surface And Interface ◽

Physico Chemical

Two toy models for surface and interface disaggregation are introduced and some considerations on their relevance for real physico-chemical processes are presented. The models are studied by means of Monte Carlo simulations in 1+1 dimensions and the scaling laws of the interface width w(L, t) are determined. In both cases, the scaling is in agreement with that obtained from the fourth order linear Langevin equations. The result is discussed in relation to another microscopic disaggregation model and to the microscopic growth model of Wolf and Villain.

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Morphology of Ag Islands Grown on GaAs (110) at Low Coverage: Monte Carlo Simulations

MRS Proceedings ◽

10.1557/proc-399-103 ◽

1995 ◽

Vol 399 ◽

Author(s):

A. Challa ◽

J. Drucker ◽

T.S. Cale

Keyword(s):

Monte Carlo ◽

Monte Carlo Simulations ◽

Growth Model ◽

Room Temperature ◽

Nearest Neighbor ◽

Growth Morphology ◽

Island Growth ◽

Anisotropic Surface ◽

Low Coverage ◽

Good Agreement

ABSTRACTThe growth morphology of Ag on GaAs (110) surfaces, at low coverages, is investigated with Monte Carlo simulations using a solid-on-solid model. Experimentally Ag deposited at room temperature forms 3D isotropic islands and forms needle-like islands elongated along the <110> direction when deposited at 250°C. Preliminary simulation results using 2D island growth model indicated that the elongation of islands at 250°C deposition is due to anisotropic surface diffusion and nearest-neighbor interactions along the <100> and <110> directions. The island morphologies obtained using a 3D island growth model are in good agreement with experimentally observed morphologies.

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Low-voltage EDS of magnesium ferrite Dendrites in a FEG-SEM

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100164854 ◽

1996 ◽

Vol 54 ◽

pp. 478-479

Author(s):

Matthew T. Johnson ◽

Ian M. Anderson ◽

Jim Bentley ◽

C. Barry Carter

Keyword(s):

Monte Carlo ◽

Quantitative Analysis ◽

Monte Carlo Simulations ◽

Cross Section ◽

Spatial Resolution ◽

Low Voltage ◽

Magnesium Ferrite ◽

X Ray ◽

Interaction Volume ◽

Ferrite Spinel

Energy-dispersive X-ray spectrometry (EDS) performed at low (≤ 5 kV) accelerating voltages in the SEM has the potential for providing quantitative microanalytical information with a spatial resolution of ∼100 nm. In the present work, EDS analyses were performed on magnesium ferrite spinel [(MgxFe1−x)Fe2O4] dendrites embedded in a MgO matrix, as shown in Fig. 1. spatial resolution of X-ray microanalysis at conventional accelerating voltages is insufficient for the quantitative analysis of these dendrites, which have widths of the order of a few hundred nanometers, without deconvolution of contributions from the MgO matrix. However, Monte Carlo simulations indicate that the interaction volume for MgFe2O4 is ∼150 nm at 3 kV accelerating voltage and therefore sufficient to analyze the dendrites without matrix contributions.Single-crystal {001}-oriented MgO was reacted with hematite (Fe2O3) powder for 6 h at 1450°C in air and furnace cooled. The specimen was then cleaved to expose a clean cross-section suitable for microanalysis.

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