Critical Undercooling in DNA-Mediated Nanoparticle Crystallization.

The nucleation of DNA-functionalized nanoparticle superlattices is observed to exhibit a temperature hysteresis between melting (superlattice dissociation) and freezing (particle association) transitions that allows for the study of nucleation thermodynamics. Through detailed study of the assembly of these particles, which can be considered programmable atom equivalents (PAEs), we identify this hysteresis as critical undercooling-a phase transition phenomenon related to a thermodynamic barrier to nucleation. The separable nature of the DNA bonding elements and nanoparticle core enables the PAE platform to pose unique questions about the microscopic dependencies of critical undercooling and, ultimately, to control the nucleation pathway. Specifically, we find that the undercooling required to initiate nucleation increases as the nanoparticle coordination number increases (number of particles to which a single particle can bind).