Abstract

Using a coarse-grained molecular dynamics model, we simulate the self-assembly of PbSe nanocrystals (NCs) adsorbed at a flat fluid-fluid interface. The model includes all key forces involved: NC-NC short-range facet-specific attractive and repulsive interactions, entropic effects, and forces due to the NC adsorption at fluid-fluid interfaces. Realistic values are used for the input parameters regulating the various forces. The interface-adsorption parameters are estimated using a recently introduced sharp-interface numerical method which includes capillary deformation effects. We find that the final structure in which the NCs self-assemble is drastically affected by the input values of the parameters of our coarse-grained model. In particular, by slightly tuning just a few parameters of the model, we can induce NC self-assembly into either silicene-honeycomb superstructures, where all NCs have a {111} facet parallel to the fluid-fluid interface plane, or square superstructures, where all NCs have a {100} facet parallel to the interface plane. Both of these nanostructures have been observed experimentally. However, it is still not clear their formation mechanism, and, in particular, which are the factors directing the NC self-assembly into one or another structure. In this work, we identify and quantify such factors, showing illustrative assembled-phase diagrams obtained from our simulations. In addition, with our model, we can study the self-assembly dynamics, simulating how the NCs’ structures evolve from few-NCs aggregates to gradually larger domains. For example, we observe linear chains, where all NCs have a {110} facet parallel to the interface plane as typical precursors of the square superstructure, and zigzag aggregates, where all NCs have a {111} facet parallel to the interface plane as typical precursors of the silicene-honeycomb superstructure. Both of these aggregates have also been observed experimentally. Finally, we show indications that our method can be applied to study defects of the obtained superstructures.7 MoreReceived 28 October 2018Revised 28 January 2019DOI:https://doi.org/10.1103/PhysRevX.9.021015Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.Published by the American Physical SocietyPhysics Subject Headings (PhySH)Research AreasNanocrystalsPhysical SystemsNanoparticlesNanostructuresSuperlatticesPolymers & Soft MatterCondensed Matter, Materials & Applied Physics

Highlights

  • Nanoparticle self-assembly is an emerging route with tremendous potential to build novel nanostructured materials [1,2]

  • III, the orientation with a f111g facet parallel to the interface plane minimizes the interface-adsorption energy E [Eqs. (8)–(10)] for PbSe NCs with f111g, f110g facets covered by ligands at a toluene-air interface, and up is expected to be between the two values considered in Figs. 3 and 4

  • During the formation process of the PbSe superstructures, ligands are expected to detach from the NC f100g facets, allowing NC-NC attractions only by opposite f100g facets, while NC-NC attachment by f110g, f111g facets is prevented by the ligands still chemisorbed on these facets

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Summary

INTRODUCTION

Nanoparticle self-assembly is an emerging route with tremendous potential to build novel nanostructured materials [1,2]. The NCs selfassemble in ordered monolayers at the fluid-fluid interface, and subsequently perform oriented attachment [73,85,86,87,88], resulting in 2D atomically coherent nanogeometric materials In this last class of processes, in addition to NC entropy and NC-NC interactions, the different interactions of the NCs with the different molecules of the two fluids forming the interface (i.e., interface-adsorption effects) are involved in the superlattice formation mechanism. First experimentally observed a few years ago [73,85,86,88], the PbSe silicene-honeycomb 2D superlattice is expected to exhibit a Dirac-type band structure, with the semiconductor band gap preserved [89,90,91] Such a material would combine the properties of semiconductors with those of graphene, making it very interesting for optoelectronic applications. The NC superstructures obtained with our MD model present the same kind of defects observed in the experimental superlattices, indicating that our MD model can be used to study the formation and stability of defects in these structures

Outline
NC-NC interactions
NC-solvent interactions
Fluid-fluid interface forces
Thermodynamics considerations
INTERFACE-ADSORPTION POTENTIALS FOR PbSe NCs
Macroscopic sharp-interface model
PbSe NC fully covered by ligands
Considerations on many-particle effects
Simulation setup
Initial formation stage
Formation of silicene-honeycomb superstructures
Formation of square superstructures
Assembled-phase diagram
Outlook for the experimental synthesis
UNDERSTANDING THE FORMATION MECHANISM
CONCLUSIONS
Bead dynamics and interactions
NC Brownian motion
Single-NC interface-adsorption potentials
NC-NC pair capillary potential
Sharp-interface method
Interface-adsorption energy of PbSe NCs
Capillary interactions of PbSe NCs
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