Asymmetric molecular barriers and free energy profiles extracted by committor inversion. (a) Full two-dimensional committor for the free energy surfaces G(q, x) with an asymmetric molecular free energy [Eq. (13)], κl = 2.5 kBT/[q]2, and Dq/Dx = 1. Isolines of the free energy surfaces are shown as black solid lines separated by 1 kBT. Isolines of the committor are shown as red solid lines. We considered free energy surfaces with a small and a large barrier, left and right, respectively. (b) The observed committor ϕ(q) is obtained by numerically solving Onsager’s equation. ϕ(q) is shown for different linker stiffnesses (1.5, 2.5, and 5.0 kBT/[q]2). (c) Free energy profiles GCI(q) extracted by committor inversion. The respective hidden molecular profiles are shown as gray solid lines.