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The size and even the sign of this correction is not agreed on.","posed_since":"1949","precise":"For a nucleus of radius $R$, $\\gamma(R) = \\gamma_{\\infty}(1 - 2$ $\\delta$ $/ R + ...)$ with Tolman length $\\delta$. Determine the sign and magnitude of delta for the Lennard-Jones liquid-vapor interface and for crystal-melt interfaces, and whether the expansion in $1/R$ is valid at critical-nucleus sizes of about 10 to 30 Angstrom.","problem_ref":"d2e1a0e2edfa903e19dc1ac511ff02be23c3d1ea69f8a5574e58047d30548a16","references":"","settled_by":"Consistent determinations of $\\delta$ from independent simulation methods (droplet and bubble free energies, virial route), and a test of the $1/R$ expansion against measured nucleation barriers.","status_note":"Simulations for the Lennard-Jones liquid-vapor case point to a small negative $\\delta$ of order $-0.1$ particle diameters (approximately), but crystal-melt values and the validity of the expansion are unsettled.","title":"Curvature correction to the surface tension of small 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