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The work function is calculated for ten simple metals in the framework of model potentials. The Shaw model potential is used. The surface structure is described by a model containing a decrease of the conduction electron density and a change of the lattice constant. The parameters of this model are determined from the requirement of a minimum surface energy. The calculated work functions agree well with the experimental ones. The calculated increase of the lattice constant at the surface is about 1%. It gives rise to a decrease of the total surface dipole potential. The latter is much smaller than that calculated for the usual model where the ions are replaced by a homogeneous background. The agreement of the work function with experiment justifies the use of the mean value of model potentials in the calculation of physical properties.
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Paasch et al. (1972) studied this question.
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