The low-q feature of I v (q) is not present in the global density term ∆I ρ (q), but it is present in ∆I EV (q) = I 6.7 EV (q)-I 3.4 EV (q). Thus, the excluded-volume scattering expression in eq. 18 describes the local structural changes in the shell and of the 'hole' left by the solute, for this simple test system. We can test this characterization by comparing the absolute I EV term to an analytical 'hole'-shell model, inspired by SAXS-methodologies . This approach is based on homogeneous volumes, and not scattering from distributions of discrete particles with preferred interatomic distances, so we cannot expect a 1:1 agreement between scattering from an analytic hole-shell model and the I EV term. Nevertheless, we re-purpose a well-known core-shell model . Here, the analytical form factor F (q) of a core particle with scattering length density ρ c and volume V c , surrounded by a shell of scattering length density ρ s and volume V s , is (see fig. ): The blue curve shows the volume term for the σ ij = 4.7 Å LJ solute system, calculated with eq. 22. The dashed black line shows scattering from the analytical coreshell model, calculated from fitting the scattering length densities and shell radii in eq. 21, as well as the overall scaler α in eq. 19 to minimize the difference (red dashed curve) to the EV term. The inset shows a zoom-in on the high-q features. The analytic model can capture the low-q feature, but not the later oscillations. Top right: Core-hole continuum model scattering densities, made from subtracting a core sphere with the same scattering length density as in the shell, ρ s from a bigger sphere of ρ s , such that ρ c = 0. Bottom plot: Comparison of the RDF used to obtain the EV form factor in eq. 17 to the fitted scattering length densities and radii of the core-hole r c , as well as the shell r s .