Fig. S2.

(A) Charge density of water around a purely repulsive sphere with an effective hard sphere diameter of $R_{\text{HS}}=12$ Å. The LMF charge density was determined using Eq. S22. (B) For completeness, we also show the electrostatic LMF ${\mathcal{V}}_{\text{R}}\left(r\right)$ that gives rise to the LMF charge density in A. Note that in this case the solute has no charge, $\mathcal{V}\left(\mathbf{r}\right)=0$, such that ${\mathcal{V}}_{\text{R}}\left(r\right)$ arises solely from solvent–solvent interactions via renormalization.