During silver electrodeposition on
Au nanoparticle (NP)-covered
highly oriented pyrolitic graphite, a transition from an initial growth
of microsized particles to the growth of dendrites with pine tree
shape (nanotrees) is observed, which is an advancement for material
growth with hierarchical surface roughness. Using kinetic Monte Carlo
simulations of an electrodeposition model, those results are explained
by the interplay of diffusive cation flux in the electrolyte and relaxation
of adsorbed atoms by diffusion on quenched crystal surfaces. First,
simulations on NP-patterned substrates show the initial growth of
faceted silver particles, followed by the growth of nanotrees with
shapes similar to the experiments. Next, simulations on electrodes
with large prebuilt particles explain the preferential nanotree growth
at corners and edges as a tip effect. Simulations on wide flat electrodes
relate the nanotree width with two model parameters describing surface
diffusion of silver atoms: maximal number of random hops (G) and probability of hop per neighbor (P). Finally, simulations with small electrode seeds confirm the transition
from initially compact particles to the nucleation of nanotrees and
provide estimates of the transition sizes as a function of those parameters.
The simulated compact and dendritic deposits show dominant (111) surface
orientation, as observed in experiments. Extrapolations of simulation
results to match microparticle and nanotree sizes lead to G = 4 × 1011 and P = 0.03,
suggesting to interpret those sizes as diffusion lengths on the growing
surfaces and giving diffusion coefficients 2 to 3 × 10–13 m2/s for deposited silver atoms. These results may motivate
studies to relate diffusion coefficients with atomic-scale interactions.