Dynamic scaling of island-size distribution in submonolayer growth of 1×1 films

1994 ◽  
Vol 50 (15) ◽  
pp. 11116-11120 ◽  
Author(s):  
Q. Jiang ◽  
A. Chan ◽  
G.-C. Wang
Keyword(s):  
Size Distribution ◽  
Dynamic Scaling ◽  
Island Size

Dynamic Scaling, Island Size Distribution, and Morphology in the Aggregation Regime of Submonolayer Pentacene Films

2003 ◽  
Vol 91 (13) ◽  
Author(s):  
Ricardo Ruiz ◽  
Bert Nickel ◽  
Norbert Koch ◽  
Leonard C. Feldman ◽  
Richard F. Haglund ◽  
...  
Keyword(s):  
Size Distribution ◽  
Dynamic Scaling ◽  
Island Size

Dynamic Scaling of the Island-Size Distribution and Percolation in a model of Sub-Monolayer Molecular Beam Epitaxy

1993 ◽  
Vol 317 ◽  
Author(s):  
Jacques G. Amar ◽  
Fereydoon Family ◽  
Pui-Man Lam
Keyword(s):  
Molecular Beam Epitaxy ◽  
Size Distribution ◽  
Molecular Beam ◽  
Pair Correlation ◽  
Dendritic Structure ◽  
Square Lattice ◽  
Dynamic Scaling ◽  
Island Size ◽  
Monomer Density ◽  
Low Coverage

ABSTRACTThe results of a detailed study of the scaling and percolation behavior of the sub-Monolayer in a model of molecular beam epitaxy are presented. In our model adatoms are randomly deposited on a square lattice and then allowed to diffuse. Whenever an adatom encounters another adatom or an island, it is attached to them and becomes immobile. We have found and studied four distinct scaling regimes, corresponding to a low-coverage (nucleation) regime, intermediate-coverage regime, an aggregation regime, and coalescence and percolation regime. At low coverage the islands have a dendritic structure such as seen in Au/Ru (0001) while at higher coverages they become compact. The scaling of the cluster fractal dimension, island density, Monomer density, island size distribution, and structure factor and pair-correlation function are studied as a function of the coverage θ and the ratio R = D /F of the diffusion rate to the deposition rate.

Difference in the Dynamic Scaling Behavior of Droplet Size Distribution for Coalescence under Pulsed and Continuous Vapor Delivery

2001 ◽  
Vol 86 (8) ◽  
pp. 1570-1573 ◽  
Author(s):  
R. D. Narhe ◽  
M. D. Khandkar ◽  
K. P. Adhi ◽  
A. V. Limaye ◽  
S. R. Sainkar ◽  
...  
Keyword(s):  
Size Distribution ◽  
Droplet Size ◽  
Droplet Size Distribution ◽  
Scaling Behavior ◽  
Dynamic Scaling

Spatial Correlations in Growing Films

2000 ◽  
Vol 619 ◽  
Author(s):  
M.C. Bartelt
Keyword(s):  
Size Distribution ◽  
Lattice Gas ◽  
Mean Field ◽  
Film Deposition ◽  
Nucleation Theory ◽  
Spatial Correlations ◽  
Island Size ◽  
Pit Formation ◽  
Free Region ◽  
Lattice Gas Models

ABSTRACTDetailed analyses of non-equilibrium lattice-gas models of island nucleation and growth during film deposition (or etching) have been invaluable in elucidating basic issues in nucleation theory, deviations from mean-field predictions, and experimental observations. Particularly interesting and useful is the behavior of spatial correlations in the adlayer which develop during island (or pit) formation. In particular, a strong depletion in the population of island pairs at separations smaller than the average follows from depletion in the density of diffusing adspecies near islands. This feature delays percolation of clusters of coalesced islands. Another recently discovered and more subtle feature is a strong correlation between the width of the island-free region surrounding an island and the size and growth rate of that island. This direct correlation between island sizes and separations controls the shape of the island size distribution. If incorporated into rate-equation descriptions, it recovers the exact form of the scaling function for the island size distribution.

Irreversible Island Formation During Deposition: Island Size and Separation Distributions

1992 ◽  
Vol 280 ◽  
Author(s):  
M. C. Bartelt ◽  
M. C. Tringides ◽  
J. W. Evans
Keyword(s):  
Size Distribution ◽  
Rate Equation ◽  
Nucleation And Growth ◽  
Simplified Model ◽  
Island Size ◽  
Deposition Rates ◽  
Island Formation ◽  
Simulation Results ◽  
Precise Simulation

ABSTRACTWe present precise simulation results for a simplified model of irreversible nucleation and growth of islands during deposition. We characterize the scaling of the island and adatom densities, the complete island size distribution, and the adatom-island and island-island separation distributions, with the ratio of diffusion to deposition rates (for fixed coverages,θ<1). We also make some comparisons with rate equation predictions.

Sign in / Sign up

Export Citation Format

Share Document