  Parallel-tempering MD results for a CH$_3$(CH$_2$-O-CH$_2$)$_m$CH$_3$ chain
in water are exploited as a data-base for analysis of collective structural
characteristics of the PEO globule with a goal of defining models permitting
statistical thermodynamic analysis of dispersants of Corexit type. The chain
structure factor, relevant to neutron scattering from a deuterated chain in
neutral water, is considered specifically. The traditional continuum-Gaussian
structure factor is inconsistent with the simple $k \rightarrow \infty$
behavior, but we consider a discrete-Gaussian model that does achieve that
consistency. Shifting-and-scaling the discrete-Gaussian model helps to identify
the low-$k$ to high-$k$ transition near $k \approx 2\pi/0.6 \mathrm{nm}$ when
an empirically matched number of Gaussian links is about one-third of the total
number of effective-atom sites. This short distance-scale boundary of 0.6 nm is
directly verified with the $r$-space distributions, and this distance is thus
identified with a natural size for coarsened monomers. The probability
distribution of $R_g{}^2$ is compared with the classic predictions for both
Gaussian model and freely-jointed chains. $\left\langle
R_g{}^2(j)\right\rangle$, the contribution of the $j$-th chain segment to
$\left\langle R_g{}^2\right\rangle$, depends on contour index about as expected
for Gaussian chains despite significant quantitative discrepancies which
express the swelling of these chains in water. Monomers central to the chain
contour occupy the center of the chain globule. The density profiles of chain
segments relative to their center of mass can show distinctive density
structuring for smaller chains due close proximity of central elements to the
globule center. But that density structuring washes-out for longer chains where
many chain elements additively contribute to the density profiles.
