A single-component strained film is known to be unstable to the stress-driv
en morphological instability. Here, we determine how the instability is mod
ified in an alloy film by considering the effect of compositional stresses
due to an atomic size difference. We find that the coupling of composition
to stress always makes the film more unstable to the formation of stress-dr
iven surface undulations. The destabilization is greatest over a range of i
ntermediate deposition rates.