Interaction Potentials of Gas Atoms with Cubic Lattices on the 6-12 Pairwise Model

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Abstract
The interaction potential energy of a gas atom with a solid is obtained by summing the 6-12 gas-atom—solid-atom pairwise potential over all atoms of a perfect, monatomic, cubic, semi-infinite lattice model. Study is made of relations among (i) heats of adsorption, surface diffusion, and sublimation; (ii) lattice spacing, lattice type [body-centered and face-centered cubic], and exposed lattice face [(100) and (110)]; and (iii) the pairwise interaction parameters. Possibilities of obtaining one or more of these quantities from knowledge of the others are considered. The theory is applied to an analysis of experimental data, and a somewhat unsuccessful attempt is made to assess the validity of the 6-12 pairwise model in gas-surface interactions. Tables, correct to five significant figures, of sums of inverse sixth and twelfth powers of gas-atom—solid-atom distances are presented as functions of distance of the gas atom from the surface of a simple cubic lattice which has either its (100) or its (110) face exposed.

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