A heuristic procedure is presented to estimate cubic-spline interpolation error for diatomic-molecule potential-energy curves and assess its effect on rovibrational energy levels computed by the Numerov-Cooley method. The approach is tested on the experimental potential curve for Li-2 (X (1) Sigma(g)(+)) as defined by its RKR turning points, and allows the identification of a few misprints in what is currently the most up-to-date reference for the latter. Copyright (C) 1998 Elsevier Science Ltd.