𝕍 𝑖(𝑃) 𝐴𝐴,𝐸𝑋2 = ∭ 𝑑𝜏 𝑉 𝑃,𝑒𝑚 𝐿𝐽 (𝒓)>0 (7) The effective volume derived from the EX1 method is remarkably similar in shape to the one derived from the EX2 method, but larger, as depicted in Figures and, which show the 𝕍 𝑖(𝑃) 𝐴𝐴 of benzene CG particles calculated using the EX2 and EX1 approach in AA representation. In terms of the liquid density predictions, we found that the EX1 approach usually gives underestimated results while the EX2 approach usually gives overestimated results. Thus, it is appropriate to utilize the average effective volume (AEX) calculated by the EX1 and EX2 approaches to cancel out errors. The formula for calculating this AEX volume is provided in eq.( ) below: