  An interaction potential energy between and adsorbate (Xe and Ar) and the
10-fold Al-Ni-Co quasicrystal is computed by summing over all
adsorbate-substrate interatomic interactions. The quasicrystal atoms'
coordinates are obtained from LEED experiments and the Lennard-Jones parameters
of Xe-Al, Xe-Ni and Xe-Co are found using semiempirical combining rules. The
resulting potential energy function of position is highly corrugated.
  Monolayer adsorption of Xe and Ar on the quasicrystal surface is investigated
in two cases: 1) in the limit of low coverage (Henry's law regime), and 2) at
somewhat larger coverage, when interactions between adatoms are considered
through the second virial coefficient, C_{AAS}. A comparison with adsorption on
a flat surface indicates that the corrugation enhances the effect on Xe-Xe
(Ar-Ar) interactions. The theoretical results for the low coverage adsorption
regime are compared to experimental (LEED isobar) data.
