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We report an extension of Lekner's method (Lekner, J., 1991 Physica A, 176, 485) for charge summation in quasi-two-dimensional simulations for the general case where the simulation cell is rectangular rather than square. The equations developed here for the force components and the potential energy can be included easily in molecular dynamics or Monte Carlo simulations of layers or quasi-two-dimensional confined systems which contain charged species.
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