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When this two-step route beats direct crystal formation, and what rate it gives, is not known.","posed_since":"","precise":"For globular proteins such as lysozyme, colloids with short-range attraction and some small molecules, crystals are reported to nucleate within metastable dense-liquid droplets or amorphous precursors. Determine for which interaction ranges and supersaturations the two-step pathway dominates the rate, and derive a rate expression replacing CNT that predicts measured rates.","problem_ref":"9c76b053a9d5e69c5bcb32fa7125b9d22c666187bda1e2acf259411baa143f48","references":"","settled_by":"A rate theory for the two-step pathway whose predictions match rare-event simulations and measured nucleation rates in protein or colloid experiments.","status_note":"","title":"When does crystal nucleation proceed in two 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