Fourier expansions for the potentials of lattices of charge

Details Fourier expansions for the potentials of lattices of charge Fourier expansions for the potentials of lattices of charge

2008-04-24

arxiv.org/abs/0804.3821v1

Physics

Chemical Physics

Scientific paper

We apply the Poisson sum rule to obtain formal expressions for the Fourier coefficients of the potential of a lattice of generalized charge. Each generalized charge is assumed to contribute to the potential a term which depends only on the vector displacement from the charge's location. The coefficients are explicitly calculated for Coulomb and Yukawa-type individual particle potentials. The potentials of finite and disordered lattices are also briefly considered.

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