A high-temperature deposition of adatoms on a substrate with or withou
t lattice mismatch from -10% to +10%, followed by slow cooling to a gi
ven temperature, is simulated by means of a Monte Carlo algorithm with
Lennard-Jones interatomic pair potentials. Stranski-Krastanov growth
is always observed with a lateral island size controlled by the lattic
e mismatch, while the deposition mode acts strongly on the island slop
e. Complete healing of the island structure never occurs before the te
nth layer. The interlayer distance undergoes oscillations as a functio
n of the layer number. This is observed for a +/-10% mismatch as well
as for a -5% mismatch.