Nanocomposites comprising spherical nanoparticles dispersed in polymeric matrices or liquid hosts have emerged as a promising class of materials for a broad range of applications. The introduction of nanoparticles can enhance the ionic conductivity, 1,2 mechanical strength, optoelectronic properties, and separation performance of the host material. Since the mechanisms underlying the observed property improvements remain poorly understood, there is interest to find new approaches to predict the nanoparticle loading and microstructure characteristics that optimizes the properties of interest.