Highly anomalous values for the preexponential factor in atomic diffusion r
ates at surfaces have recently been inferred from scanning-tunneling micros
copy growth experiments. In an extensive first-principles kinetic Monte Car
lo study, we show how long-range adsorbate interactions invalidate the stan
dard nucleation-theory approach to analyzing experimental island-density da
ta. When adatom-adatom interactions are properly accounted for in the analy
sis of experimental data, the anomaly is lifted, and deduced prefactors are
consistent with direct theoretical calculations. We show that the dependen
ce of the island density on the growth rate is modified by interactions. wh
ich could be used to identify adsorbate interactions in growth experiments.