This study explores the self-assembly behaviors of nonconvex, dumbbell-shaped nanocrystals (nanodumbbells) .
It demonstrates the long-range ordered assembly into two-dimensional superlattices, including the chiral Kagome lattice, by tailoring the local curvature of nanodumbbells .
Theoretical calculations confirm the Kagome lattice as a thermodynamically stable phase, with depletion interactions crucial for stabilizing these structures .
Synthesis and characterization of NDs
Colloidal NaYF4:Yb/Er@NaGdF4@NaNdF4 nanocrystals were synthesized and coated with oleic acid ligands to ensure stability in nonpolar solvents .
The waist width (d) of the nanodumbbells was tuned while keeping the length (L) and head width (D) relatively constant .
The concavity of the nanodumbbells was defined using the waist-to-head width ratio (d/D), influencing their self-assembly behavior .
ND self-assembly and superlattice formation
Concave-convex curvature fitting promoted specific bonding between NDs, with the bond directionality adjustable through local curvature modulation .
Introducing depletion interactions by adding excess oleic acid mitigated kinetic arrest and promoted extended interlocking of NDs .
2D superlattices with varying structural complexities were assembled from NDs with different concavities, showing a common characteristic in their local packing .
Kagome lattices
Moderate-concavity NDs were used to form Kagome lattices, known for their 2D arrangement of interconnected triangles, hexagons, and voids .
The Kagome lattice displayed p6 symmetry, with each ND interlocking with its four nearest neighbors through hybrid fitting .
The as-assembled Kagome lattice was a racemic mixture, comprising domains of both left and right handedness .
Formation mechanism
Simulations indicated that purely hard-core interactions between NDs were insufficient to stabilize the Kagome lattice .
Depletion interactions enhance attractive interactions between concave and convex regions of adjacent NDs, guiding them into arrangements needed to form the Kagome lattice .
Calculations showed that NDs tended to adopt concave-convex fitting modes that maximize the overlapping exclusion volume (DVmax) .
Phase behavior
A phenomenological parameter g was introduced to describe the relative strength of concave-convex interactions compared to other interactions .
The phase diagram predicted that the Kagome lattice could form and coexist with the bi-chevron lattice when the d/D ratio ranged from ~0.55 to ~0.65, agreeing with experimental observations .
The phase diagram also predicted stable phases for NDs with very narrow or wide waists, supported by experiments .
Binary superlattices and low-density superlattices
Coassembling two types of NDs with differing dimensions led to the formation of AB3-type binary superlattices .
Introducing multivalent bonding interactions through additional concave features led to the formation of an open oblique lattice .
Multiple specific bonding interactions between neighboring NDs were likely responsible for stabilizing this unusual open lattice .
Conclusions
The curvature of nonconvex NCs can be leveraged to program directional interparticle interactions .
Curvature-guided depletion interactions facilitated global interlocking of NDs and stabilized open structures such as Kagome lattices .
The curvature-mediated design principle could serve as a general strategy for guiding the self-assembly of various nonconvex NCs .