  Recent calculations using coupled cluster on solids have raised discussion of
using a $N^{-1/3}$ power law to fit the correlation energy when extrapolating
to the thermodynamic limit, an approach which differs from the more commonly
used $N^{-1}$ power law which is (for example) often used by quantum Monte
Carlo methods. In this paper, we present one way to reconcile these viewpoints.
Coupled cluster doubles calculations were performed on uniform electron gases
reaching system sizes of $922$ electrons for an extremely wide range of
densities ($0.1<r_s<100.0$) to study how the correlation energy approaches the
thermodynamic limit. The data were corrected for basis set incompleteness error
and use a selected twist angle approach to mitigate finite size error from
shell filling effects. Analyzing these data, we initially find that a power law
of $N^{-1/3}$ appears to fit the data better than a $N^{-1}$ power law in the
large system size limit. However, we provide an analysis of the transition
structure factor showing that $N^{-1}$ still applies to large system sizes and
that the apparent $N^{-1/3}$ power law occurs only at low $N$.
