For all systems, US windows were placed in 0.25 nm intervals from z ′ 0 = 2.0 nm to 6.5 nm, with (harmonic) spring constants of k = 100 (kJ/mol)/nm. Additional windows with larger spring constants were included near the C 12 E 6 tail region in the ACWI systems to improve sampling. The free energy profiles were unbiased with the weighted histogram analysis method (WHAM). Solute-solvent energy profiles, E U,V (z), presented in Sec. III were calculated as averages of Eq. 2 between the solute and water in AWI systems and as the sum of the solute-water and solute-C 12 E 6 energies in ACWI systems (the error analysis for these averages is presented in the SI). Solute-solvent entropies were taken as the difference -T S U,V (z) = F (z)-E U,V (z) as described in Sec. II D. Energy differences presented as terms in FEDs in Sec. III were obtained by smoothing and interpolating each energy profile before taking the differences. Energy profiles were smoothed with 30 passes through the Savitzky-Golay filter with 3rd-degree polynomials and a window length of 5 (corresponding to a window length of around 0.2 nm).