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arxiv: 1409.3191 · v1 · pith:O4YKA2A3new · submitted 2014-09-08 · ⚛️ physics.class-ph · cond-mat.mtrl-sci

The electrostatic potential of a periodic lattice

classification ⚛️ physics.class-ph cond-mat.mtrl-sci
keywords potentialelectrostaticlatticeperiodicallowsarbitrarycalculatecartesian
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We calculate the electrostatic potential of a periodic lattice of arbitrary extended charges by using the Cartesian multipole formalism. This method allows the separation of the long-range potential from the contact potential (potential on the source). We write both the electrostatic potential and the interaction energy as convergent sums in the reciprocal space.

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