These trends are consistent with other numerical studies for particle pairs and chains that report enhanced redshifting and broadening linewidths as the number of included moments increases. However, the quadrupolar contributions to ω res and W do not monotonically grow with η; ∆ω res between Q-and p-level truncations plateaus for η > 0.30, and the associated ∆W is largest around η = 0.20-0.30 and decreases with increasing η. These trends for hard-sphere dispersions with increasing η (and thus decreasing average interparticle distance) are qualitatively different from those reported for particle pairs and chains, where the effects of quadrupoles (and higher-order moments) systematically grow as particles move closer together. This difference appears to be another manifestation of how interparticle correlations changing in a nontrivial way with η for disordered structures distinguishes their structure-dependent optical properties from simpler conventionally studied assemblies of plasmonic nanoparticles. Because quadrupoles introduce modest quantitative changes and no qualitatively new features, we do not consider octupole and higher-order moments in the present work.