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For example, for the binding energies of alkali dimers to a H 4 e surface (the largest alkali particles for which detailed surface-adsorption calculations are available in the literature) this model yields values on the order of 4 K, which is within a factor of three of the results of a density-functional calculation (Ref.); and the accuracy should increase with cluster size: the particle shape becomes more three dimensional, befitting Eqs., and at the same time the influence of the surface dimple decreases relative to the particle size.
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36
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The energy curves for Cs become so shallow that just a small variation in the parameters of the surface-binding picture in Sec. (e.g., reducing the surface width parameter to 4 Å) is sufficient to completely prevent the submersion energy from exceeding surface binding for any N. For the other alkalis, on the other hand, the N c values are relatively stable upon such variations.
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