In the previous study, we developed a bottom-up coarse-graining method called LJSPM that aims to derive the optimal LJ parameters from a user-defined division. The fundamental of LJSPM is matching the truncated LJ-static potential (LJSP) 𝜓 between AA and CG models by optimizing the CG parameters 𝜺 𝐶𝐺 and 𝝈 𝐶𝐺 , where the error function is defined in eq. (1).