A three-component decomposition of pairwise Coulomb terms in finite crystals produces a direct-summation formula for Madelung constants that converges at p=1 for cubic lattices.
Infinite boundary terms of ewald sums and pairwise in- teractions for electrostatics in bulk and at interfaces
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The Madelung Problem of Finite Crystals
A three-component decomposition of pairwise Coulomb terms in finite crystals produces a direct-summation formula for Madelung constants that converges at p=1 for cubic lattices.