Semi-infinite jellium: Step potential model
P. P. Kostrobij, B. M. Markovych

TL;DR
This paper models the surface properties of semi-infinite jellium metals, analyzing how the potential barrier height affects surface energy and electron distribution, with results aligning well with experimental data.
Contribution
It introduces a step potential model for semi-infinite jellium, linking barrier height to surface energy minimization, providing new insights into metal surface characteristics.
Findings
Surface energy remains positive across all Wigner-Seitz radii.
Surface energy calculations agree with experimental data.
Barrier height is determined by minimizing surface energy.
Abstract
The surface energy, the one-particle distribution function of electrons, etc. of a semi-bounded metal within the framework of the semi-infinite jellium are calculated. The influence of the potential barrier height on these characteristics is studied. The barrier height is found from the condition of the minimum of the surface energy. The surface energy is positive in the entire domain of the Wigner-Seitz radius of metals, and it is in sufficiently good agreement with experimental data.
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