The combination of FB-ENM and the direct MaxFlux method has two main advantages over that of IDPP and the NEB method. First, FB-ENM paths have lower energies. Comparing the highest DFT energies along FB-ENM and IDPP paths for a set of 121 reactions 13 in Section 3.2, FB-ENM generated lower-energy paths in 86% of the reactions, with small energy differences in most of the remaining 14%. Second, FB-ENM requires less parameter adjustment. IDPP's pair potentials have two minima (r = d and ∞ in eq 3), leading to a large number of optimal paths. Therefore, the obtained path often depends on the number of images, optimizer, and its parameters, requiring adjustment until the desired path is obtained. In contrast, FB-ENM's single-well pair potentials reduce this necessity, yielding plausible paths for all 121 reactions under a common setting.