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Abstract Bifurcations in kinetic pathways decide the evolution of a system. An example is crystallization, in which the thermodynamically stable polymorph may not form due to kinetic hindrance. Here, we use confined self-assembly to investigate the interplay of thermodynamics and kinetics in the crystallization pathways of finite clusters. We report the observation of decahedral clusters from colloidal particles in emulsion droplets and show that these decahedral clusters can be thermodynamically stable, just like icosahedral clusters. Our hard sphere simulations reveal how the development of the early nucleus shape passes through a bifurcation that decides the cluster symmetry. A geometric argument explains why decahedral clusters are kinetically hindered and why icosahedral clusters can be dominant even if they are not in the thermodynamic ground state.

Rational design of multicomponent nanocrystals requires atomic-level understanding of reaction kinetics. Here, the authors apply single-particle liquid-cell electron microscopy imaging coupled with atomistic simulations to understand pathways and rates of bimetallic core-shell nanocubes undergoing oxidative dissolution.

Antibody-mediated immune responses rely on antigen recognition by the B cell antigen receptor (BCR) and SLP65 is a key scaffold protein mediating BCR signaling. Here authors show that effective B cell activation requires tripartite phase separation of SLP65, CIN85, and lipid vesicles.

Magic number cluster with closed shells and increased stability often result from potential energy minimization between attractive atoms or particles. Here, Wang et al. show that such magic number clusters can also result from entropy maximization in colloidal systems with negligible interactions.

The placement of nanomaterials at predefined locations is a key requirement for their integration in nanoelectronic devices. Here, the authors devise a method allowing placement of solution-based nanomaterials by using structured graphene layers as deposition sites with the aid of an electric field.

Active rotating particles were shown to undergo a phase separation through numerical simulations. Here the authors provide an experimental realization of this phenomenon by presenting an ensemble of 3D-printed robots that rotate in different directions and interact with each other.

Achieving simultaneous high storage and loss moduli in gels is difficult due to the opposite chemical structure requirements needed for such properties. Here the authors show a spectrum of gels containing CdTe nanoparticles stabilized by glutathione that have such properties which can be rationalised through the developed model.

Ordered self-assembly is a promising way to realize collective properties in nanocrystals, but reliable routes to such macroscopic structures are missing. Here the authors make cm-scale ordered superlattice films from gold nanoclusters, correlating film properties with the shape of the building blocks

The original version of this Article contained an error in Fig. 5. In Fig. 5e, the scale on the y-axis originally incorrectly went from ‘0’ to ‘1.10−4’. The correct scale goes from ‘0’ to ‘0.4’. In Fig 5f, the x-axis labels were incorrectly shifted to the right. This has been corrected in both the PDF and HTML versions of the Article.