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The goal is a method that keeps this accuracy for proteins, crystals and surfaces and states its own error bar.","posed_since":"","precise":"For systems of 100 to 1000 atoms (molecular crystal lattice energies, host-guest binding, molecules adsorbed on metal or oxide surfaces), devise an electronic-structure method with computational cost scaling at most as $O(N^3)$ in system size $N$ that delivers interaction or reaction energies within $1\\,\\mathrm{kcal}/\\mathrm{mol}$ of the exact Born-Oppenheimer value with a computed, verifiable error estimate. An answer is the method with benchmark evidence against converged references, or a complexity argument showing the target is unattainable for a stated class of methods.","problem_ref":null,"references":"","settled_by":"Blind predictions of a set of large-system energies, each with a stated error bar, later confirmed by converged reference calculations or calorimetric data to lie within 1 kcal/mol.","status_note":"","title":"Certified chemical accuracy for systems of a thousand 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