The chemical diffusion coefficient D for noninteracting particles on heterogeneous surfaces with different energetic topographies is studied by Monte Carlo simulation. Two kinds of topographies are considered: strongly correlated patches and weakly correlated amorphous surfaces. Topography effects are clearly identified due to the fact that no adsorbate-adsorbate interactions are competing. These effects are strong and depend on the tmp-barrier feature and on the spatial correlation length for adsorptive energy. The dependence of D on the temperature T does not follow, in general, the Arrhenius law. The relation between the values of D at coverage near 1 and near 0 appears as a useful tool to characterize the energetic topography.