“…86 The use of a lattice-sum approach is most appropriate for truly periodic systems (crystals, neglecting static and dynamic disorder), but only approximate for inherently non-periodic systems such as liquids and solutions. In practice, for the comparatively shortranged LJ interactions, lattice-sum and mean-field approximations typically lead to comparably accurate results for bulk systems, 21,78 but generally not for interfacial systems, where latticesum is to be preferred. 30,56,83,85,86,88 There are three additional advantages to the use of mean-field over lattice-sum schemes: (i) for large systems, they enable an O(N) scaling of the computational cost, compared to an O(N log N) scaling for FFT-based lattice-sum schemes, 74,89 (ii) they enable a pairwise (or groupwise) partitioning of the interaction energy without additional computational cost, whereas such a direct partitioning is not possible in lattice-sum schemes (i.e.…”