for the effective volume matching can be written as eq.( ) (one pair of AA, CG particles can also be handled consistently by considering the AA particle as a one-member CG particle). The condition for minimizing this error function 𝜒 2 is given by eq. (10). By substituting the definition of the effective volume in the CG representation given by eq.( ), the correlation between the corrected 𝜎 𝑖𝑗 𝛾 and the effective volume in the AA representation is given eq. (11).