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A method for increasing the rate of convergence of general crystal lattice sums of the type \sum_{j \ne k} qjqkr-njk is described. The method is applicable for n > 3, or for n > 0 if \sum_{\rm cell} qj = 0. A numerical example is given for the London dispersion energy (n = 6) of the benzene crystal. The calculation effort required to obtain the lattice sum was reduced at least tenfold.
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