We formulate a method that may be used to calculate certain lattice-dynamical spectral density functions useful in the analysis of inelastic electron and atom scattering at crystal surfaces. The method is used to explore the (111) surface of a model fcc crystal with nearest-neighbor and next-nearest-neighbor central force interactions between the atoms. The results are compared with results from earlier studies of the lattice dynamics of such a crystal that have been obtained by the slab method.
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Black et al. (1983) studied this question.
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