Static semiclassical response of a bounded electron gas. II. The finite barrier model

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Abstract
The semiclassical linear response formalism of a previous publication is applied to the step potential model of a metal surface. Results presented here demonstrate that this model is a significant improvement over the infinite barrier model, though the unperturbed system is too far from self‐consistency to yield quantitative accuracy. The conclusion that linear response theory is adequate for many situations is reinforced. Calculations for a model of alkali absorption agree with those of Lang to within 10% for the zero‐coverage dipole moment. The surface average potential of Na (001) modeled as a pseudopotential lattice is in semiquantitative agreement with exact results. Exchange and correlation are considered in the ’’local density approximation’’ (LDA).