Critical island-size, stability, and morphology of 2D colloidal Au nanoparticle islands

Hubartt, Bradley; Amar, Jacques G.

doi:10.1063/1.4905144

Cited by 8 publications

(7 citation statements)

References 28 publications

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“…A first estimation of the temperature T eq m (s) at which P eq (s) is maximum can be obtained from a comparison of the high and low temperature expansions Eqs. (28) and (29). Assuming that the T eq m (s) corresponds to the temperature T eq a (s) where both expressions are equal, and reformulating the high-temperature expansion as P eq (s) ≈ S −1…”

Section: Equilibrium Optimal Temperaturementioning

confidence: 99%

“…In contrast, the dynamical properties of the fluctuations are sensitive to the the kinetics of the relevant mass transport mechanisms. Theoretical investigations of the dynamics of fluctuations have been developed using Langevin models [19][20][21] or Kinetic Monte Carlo simulations of lattice models for clusters [6,[22][23][24][25][26][27][28] and vacancies [29][30][31]. These modeling studies mostly aimed at predicting the diffusion of the whole cluster or the time correlation functions of edge fluctuations.…”

Section: Introductionmentioning

confidence: 99%

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Equilibrium return times of small fluctuating clusters and vacancies

Boccardo,

Benamara,

Pierre-Louis

2022

Preprint

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The expected return time of a fluctuating two-dimensional cluster or vacancy to a given configuration is studied in thermodynamic equilibrium. We define a family of bond-breaking models that preserve the number of particles. This family includes edge diffusion and surface diffusion inside vacancies in the limit of fast particle diffusion and slow attachment-detachment kinetics. Within the frame of these bond-breaking models, the expected return time is found to depend on the energies of the configurations and on the energies of the excited states formed by removing a single particle from the cluster. High and low temperature regimes are studied. We clarify the conditions under which the return time is a non-monotonous function of temperature: a minimum is found when the energy obtained by the average over the excited states of the configuration weighted by their attachment probabilities is lower than the energy averaged over all states. In addition, we show that the optimal temperature at which the return time is minimum is shifted to a higher temperature as compared to the temperature at which the equilibrium probability is maximum. This shift is influenced by the average curvature of the cluster edge, and is therefore larger for vacancies.I.

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Section: Equilibrium Optimal Temperaturementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Equilibrium return times of small fluctuating clusters and vacancies

Boccardo,

Benamara,

Pierre-Louis

2022

Preprint

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“…Edge diffusion can also be observed with colloids [26]. Using colloids with depletants, J ∼ few k B T [52].…”

mentioning

confidence: 95%

“…We focus on clusters with edge diffusion dynamics. Edge diffusion was observed in metal atomic monolayer islands [24,25], and for colloids [26]. However, our strategy can readily be extended to any type of dynamics that preserve the number of particles such as surface-diffusion dynamics inside vacancy clusters [27][28][29], or dislocationmediated cluster rearrangements in colloids [30] and metal nanoclusters [31,32].…”

mentioning

confidence: 99%

Controlling the shape of small clusters with and without macroscopic fields

Boccardo,

Pierre-Louis

2022

Preprint

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Despite major advances in the understanding of the formation and dynamics of nano-clusters in the past decades, theoretical bases for the control of their shape are still lacking. We investigate strategies for driving fluctuating few-particle clusters to an arbitrary target shape in minimum time with or without an external field. This question is recast into a first passage problem, solved numerically, and discussed within a high temperature expansion. Without field, large-enough low-energy target shapes exhibit an optimal temperature at which they are reached in minimum time. We then compute the optimal way to set an external field to minimize the time to reach the target, leading to a gain of time that grows when increasing cluster size or decreasing temperature. This gain can shift the optimal temperature or even create one. Our results could apply to clusters of atoms at equilibrium, and colloidal or nanoparticle clusters under thermo-or electrophoresis.

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“…At higher NC and excess thiol concentrations, the NCs can persist longer at the interface-where NC islands may nucleate and grow through particle diffusion and aggregation [8]. The larger the NC diameter, the smaller the critical island size [16,17]. To reach a quantitative understanding, molecular dynamics (MD) simulations were also carried out to investigate the interaction of a ligated Au NC with the interface [18].…”

Section: Introductionmentioning

confidence: 99%

Size-dependent assembly of ligated gold nanocrystals in two dimensions

Liu

Ni²,

He³

2016

J. Phys.: Condens. Matter

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Brownian dynamics (BD) simulation based on a coarse-grained model is performed to study the assembly of dodecanethiol-ligated Au nanocrystals (NCs) at a toluene-air interface. With increasing diameter from 3 nm to 9 nm, the NCs are found to form three different phases-a dispersed phase without aggregation, a mixture of dispersed NCs and rounded clusters, and a compactly packed solid phase of the fractal structure. Such size dependence of the assembled phase is attributed to the variation in the well depth [Formula: see text] of the interaction potential between NCs, and the value of [Formula: see text] for 6 nm NCs turns out to be most suitable to form monolayers with hexagonal packing. The result is of universal importance for assembling complete monolayers, because the valley of the interaction potential can be well tailored by properly choosing the NC size, ligand length and solvent.

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Critical island-size, stability, and morphology of 2D colloidal Au nanoparticle islands

Cited by 8 publications

References 28 publications

Equilibrium return times of small fluctuating clusters and vacancies

Equilibrium return times of small fluctuating clusters and vacancies

Controlling the shape of small clusters with and without macroscopic fields

Size-dependent assembly of ligated gold nanocrystals in two dimensions

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