Island growth in submonolayer deposition with aggregation and fragmentation

Rusanen, Marko; Koponen, Ismo T.; Asikainen, J.

doi:10.1140/epjb/e2004-00012-6

Cited by 12 publications

(26 citation statements)

References 25 publications

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“…The rate K i; j for islands of sizes i and j with diffusivities D i and D j is given by the Smoluchowski formula K i; j / D i D j , which is consistent with the point island model to be used in the present study [7,11]. Diffusion coefficients of islands in cases of interest here -metal islands on metal surfaceshave an inverse power law dependence on island size D i / i ÿ , with in the range 1 2.…”

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confidence: 78%

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Submonolayer Growth with Anomalously High Island Density in Hyperthermal Deposition

Koponen

Jahma²,

Rusanen³

et al. 2004

Phys. Rev. Lett.

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We present a rate equation model for submonolayer island growth under conditions where hyperthermal deposition techniques such as low-energy ion deposition are employed to achieve smooth layerby-layer growth. By asymptotic analysis, we demonstrate that the model exhibits stationary behavior with well-defined dynamic and growth exponents and , respectively, in the limit of small and high detachment rates. We verify these predictions by using the particle coalescence simulation method. The simulations reveal the existence of a relatively sharp transition regime with an increasing detachment rate of adatoms from high values of the growth exponent 1 to much smaller values of determined by detachment and island diffusion processes. Our numerical results for the island size distribution indicate an anomalously high number of small islands, in agreement with available experimental data.

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confidence: 78%

“…The justification for this choice for moving islands is well known and discussed in more detail, e.g., in Refs. [5,7,11]. The detachment rate of adatoms from islands of size i j s is taken to depend on island size but only detachment of single adatoms is allowed and hence it is given by F i; j F 0 i j 1i 1j with parameter .…”

mentioning

confidence: 99%

Submonolayer Growth with Anomalously High Island Density in Hyperthermal Deposition

Koponen

Jahma²,

Rusanen³

et al. 2004

Phys. Rev. Lett.

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“…The aggregation rate K(i, j) for islands of sizes i and j with diffusivities D i and D j is given by the Smoluchowski formula K(i, j) ∝ (D i +D j ), which is also consistent with the point island approximation used here [20,24]. Previously [5] we used a power-law form for the diffusion coefficients D i ∼ i −µ with 1 ≤ µ ≤ 2 appropriate for island diffusion on metal surfaces.…”

Section: Modelsupporting

confidence: 61%

“…We solve the rate equations using the particle coalescence method (PCM) [22,20,24]. PCM employs a point-island approximation, which is valid at low coverages or large island separations.…”

Section: Modelmentioning

confidence: 99%

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Diffusion and submonolayer island growth during hyperthermal deposition on Cu(100) and Cu(111)

et al. 2005

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We consider the influence of realistic island diffusion rates to homoepitaxial growth on metallic surfaces using a recently developed rate equation model which describes growth in the submonolayer regime with hyperthermal deposition. To this end, we incorporate realistic size and temperature-dependent island diffusion coefficients for the case of homoepitaxial growth on Cu(100) and Cu(111) surfaces. We demonstrate that the generic features of growth remain unaffected by the details of island diffusion, thus validating the generic scenario of high density of small islands found experimentally and theoretically for large detachment rates. However, the details of the morphological transition and scaling of the mean island size are Preprint submitted to Surface Science 7 March 2018 strongly influenced by the size dependence of island diffusion. This is reflected in the scaling exponent of the mean island size, which depends on both temperature and the surface geometry.

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Two computational methods for describing size selected nanocluster growth and obtaining accurate cluster size distributions

Pirkkalainen

Riekki

Koponen

2008

Computational Materials Science

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Island growth in submonolayer deposition with aggregation and fragmentation

Cited by 12 publications

References 25 publications

Submonolayer Growth with Anomalously High Island Density in Hyperthermal Deposition

Submonolayer Growth with Anomalously High Island Density in Hyperthermal Deposition

Diffusion and submonolayer island growth during hyperthermal deposition on Cu(100) and Cu(111)

Two computational methods for describing size selected nanocluster growth and obtaining accurate cluster size distributions

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