The ensemble-averaged potential energies for S0, S1, S2 and the effective PES (eq 8 of ref The half-life (τ1/2) obtained from the simulations for decay of the S1 excited state are 60, 52, and 51 fs for κCSDM, tCSDM, CSDM, respectively, which shows very good agreement among the three methods; in fact, the difference is of the same order as the statistical uncertainty in the halflife due to the finite amount of Monte Carlo ensemble averaging with 150-300 trajectories). same position, which is where V0 and V1 get close. However, we also observe a trend that seems to be relatively smaller than , and that may explain why population transfer from S1 to S0 seems to be slightly faster in tCSDM and CSDM than in κCSDM; however, it is not clear if the difference is statistically significant. The bottom line is that the curvature-driven method is in good agreement with tCSDM and CSDM.