Abstract
We compute directly the multi-atom interactions of small clusters near a metallic surface within the tight binding scheme. We study the stability of the system of these interacting impurities as a function of their relative position in the semi-infinite host. This model is applied to a trimer and tetramer of hydrogen near a Pd(001) surface and we find good agreement with the experimental results. This work indicates that the multi-atom interactions, in the dilute limit, can be, only in a very approximate way, written as the sum of the relevant pair interactions and that cluster interactions may be dependent on the hydrogen concentration.
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