The temperature (T) dependence of roughening as assessed by scanning tunneling microscopy is compared for growth of Ag films on an 5-fold icosahedral Al-Pd-Mn quasicrystal surface and on an ξ'-approximant. Growth on the quasicrystal corresponds to a version of the Volmer-Weber growth, but modified by quantum size effects, and also by kinetic smoothening at low T and low coverages (θ). Growth on the approximant corresponds to a version of the Stranski-Krastanov growth modified by kinetic roughening at low T and low θ. For larger θ, i.e., for thicker films, distinct behavior is observed.
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