The electronic density profile for a liquid-metal surface can be calculated by solving the self-consistent Lang-Kohn equations for the electronic wave functions. One requires a surface density profile for the ion cores, which enters the electrostatic and pseudopotential parts of the electronic Hamiltonian. We use oscillatory profiles, suggested by those found by molecular-dynamics simulations on a pseudoatom model. Calculating surface potentials and work functions, we obtain excellent agreement with experiment (within 0.2 eV). It is shown that use of either step-function ion profiles or a simple variational method leads to serious errors (12 eV) for these quantities.
Goodisman, Jerry, "Calculated Electronic Profiles for Liquid-Metal Surfaces" (1985). Chemistry Faculty Scholarship. 10.
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