Abstract

To understand the existence of complex meso-sized solute-rich clusters, which challenge the understanding of phases and phase equilibria, the formation and stabilization mechanisms of clusters in solution during nucleation of crystals and the associated physico-chemical rules are studied in detail. An essential part of the mechanism is the formation of long-lived oligomers between solute molecules. By means of density functional theory simulation and nuclear magnetic resonance experiments, this work showed that the oligomers in solution tend to be π-π stacking dimers. Clusters are formed under the combined effect of diffusion and monomer-dimer reaction. The physically meaningful quantities such as the monomer-dimer reaction rate constants and the diffusion coefficients of both species were obtained by reaction-diffusion kinetics and diffusion-ordered spectroscopy results. The evolution of cluster radius as a function of time, and the qualitative spatial distributions of monomer and dimer densities under steady-state were plotted to better understand the formation process and the nature of the clusters.

Highlights

  • Crystal nucleation in solution suggests that crystal nuclei might form inside the solute-rich clusters

  • The contribution of free energy can be regarded as a diffusion driving force that is dependent on the density of monomers and oligomers

  • The concentrationdependent nuclear magnetic resonance (NMR) shifts combined with dimerization model further confirms the dimerization reaction in OTBN– methanol solution

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Summary

Introduction

Crystal nucleation in solution suggests that crystal nuclei might form inside the solute-rich clusters. The crucial role of the solute-rich clusters as locations of crystal nucleation has been supported by experimental evidence in many systems, such as proteins (Vekilov, 2010; Kuznetsov et al, 2001), biominerals (Pouget et al, 2009; Gebauer et al, 2008), polymers (Wang et al, 2009), colloids (Leunissen et al, 2005; Savage & Dinsmore, 2009) and small organic molecules (Aber et al, 2005; Harano et al, 2012). The existence of clusters in solution is spatially and chemically heterogeneous, which is of significance for self-assembly and nanoparticle manufacturing (Elbaum-Garfinkle et al, 2015; Banjade et al, 2015)

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