Abstract
The Thomas–Fermi–Dirac equation is formulated for the electrons of a charged metal surface, the ionic background being represented by jellium. After transformation into dimensionless form, the equation is integrated to give the electron density and the surface potential as a function of surface charge. Calculated surface potentials for many (neutral) metals agree with the results of experiment and more sophisticated calculations. Coupling the model for the metal to a parametrized model for adsorbed water, we show that the metal can make a significant contribution to the capacitance of the interface, especially for negative surface charges.
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