The effects of mobility of small islands on island growth in molecular beam epitaxy are studied. It is shown that small island mobility affects both the scaling and morphology of islands during growth. Three microscopic models are considered, in which the critical island sizes are $i^*=1,2$ and 3 (such that islands of size $s le i^*$ are mobile while islands of size $s ge i^{ast}+1$ are immobile). As i^* increases, islands become more compact, while the exponent $gamma$ which relates the island density to deposition rate increases. The morphological changes are quantified by using fractal analysis. It is shown that the fractal dimensions are rather insensitive to changes in i^*. However, the prefactors provide a quantitative measure of the changing morphologies.
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