“…The thermodynamics of multivalent supramolecular assembly can be summarized in terms of two main trends: the "principle of maximum occupancy," which refers to the tendency of systems to evolve toward the most stable state with full occupancy of binding sites, and the "entropy factor," which favors the state of the system with the largest number of product species (41). For most of the supramolecular systems studied to date, the valency (number of binding sites per monomer) is relatively small (<6), the principle of maximum occupancy dominates, and all sites are generally filled in the assembled materials (42,43). However, for high-valence monomers, such as the polyA chains studied here, the entropy factor strongly opposes the principle of maximum occupancy and more complex behavior emerges.…”