Mixtures of nanoparticles (NPs) with hybridizing grafted
DNA or
DNA-like strands have been of particular interest because of the tunable
selectivity provided for the interactions between the NP components.
A richer self-assembly behavior would be accessible if these NP-NP
interactions could be designed to give nonadditive mixing (in analogy
to the case of molecular components). Nonadditive mixing occurs when
the mixed-state volume is smaller (negative) or larger (positive)
than the sum of the individual components’ volumes. However,
instances of nonadditivity in colloidal/NP mixtures are rare, and
systematic studies of such mixtures are nonexistent. This work focuses
on patchy NPs whose patches (coarsely representing grafted hybridizing
DNA strands) not only encode selectivity across components but also
impart a tunable nonadditivity by varying their extent of protrusion.
To guide the exploration of the relationship between phase behavior
and nonadditivity for different patches’ designs, the NP–NP
potential of mean force (PMF) and a nonadditive parameter were first
calculated. For one-patch NPs, different lamellar morphologies were
predominantly observed. In contrast, for mixtures of two-patch NPs
and (fully grafted) spherical particles, a rich phase behavior was
found depending on patch–patch angle and degree of nonadditivity,
resulting in phases such as the gyroid, cylinder, honeycomb, and two-layered
crystal. Our results also show that both minimum positive nonadditivity
and multivalent interactions are necessary for the formation of ordered
network mesophases in the class of models studied.