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In this work, we present NENCI-2020: a benchmark database of non-equilibrium non-covalent interaction energies for a large and diverse set of intermolecular complexes. Designed with an emphasis on close contacts, NENCI-2020 simultaneously samples both intermolecular distances (spanning 0.7-1.1 x the equilibrium separation) and intermolecular angles for~ 150 molecular dimers, yielding~ 8,000 benchmark intermolecular interaction energies computed at the CCSD (T)/CBS level. Using SAPT, we demonstrate that NENCI-2020 contains a diverse array of binding motifs, making this database well-suited for testing and developing next-generation force fields, density functional theory (DFT) approximations, quantum chemical (QC) methods, and machine-learning based approaches. This is followed by a critical assessment of~ 75 DFT and QC methods, in which we find that most of these approaches can …