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Here we consider the description of dispersion (van der Waals) interactions via conceptual division of the interacting objects into atoms or larger units. While early methods in this category (e.g. a pairwise sum of Lennard-Jones potentials) have somewhat limited applicability, there are modern approaches that start from semi-local density functional theory and add numerically-efficient atom-based corrections, with considerable success. We describe some of these recent state-of-the-art approaches in some detail, as well as noting some remaining difficulties for highly polarisable and low-dimensional systems.

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