2019
DOI: 10.1021/acs.jpcc.9b05615
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Combined Theoretical–Experimental Approach to the Growth Kinetics of Colloidal Semiconductor Nanocrystals

Abstract: A new theoretical analytical model is proposed in order to provide a quantitative description of the growth kinetics of colloidal semiconductor nanocrystals. The temporal evolution of the mean size of the nanocrystal ensemble in solution was determined by monitoring the variation of the absorption and photoluminescence spectra in the course of the chemical synthesis and then submitting the resulting optical data to a calculation procedure that generated the corresponding time-evolving particle size distributio… Show more

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Cited by 6 publications
(11 citation statements)
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“…Both processes are dependent on the concentration gradient/difference at the surface of nanocrystals and the diffusion of monomers (solute atoms). The mass transport for the growth of nanocrystals in a solution can be described by Fick’s law, and most studies have been based on the growth in an infinite space and the negligible effect of surface curvature. According to the Gibbs–Thomson equation, the concentration of monomers (solute atoms) on a curved surface is different from that on a flat surface.…”
Section: Introductionmentioning
confidence: 99%
“…Both processes are dependent on the concentration gradient/difference at the surface of nanocrystals and the diffusion of monomers (solute atoms). The mass transport for the growth of nanocrystals in a solution can be described by Fick’s law, and most studies have been based on the growth in an infinite space and the negligible effect of surface curvature. According to the Gibbs–Thomson equation, the concentration of monomers (solute atoms) on a curved surface is different from that on a flat surface.…”
Section: Introductionmentioning
confidence: 99%
“…At D = D c , there is an equilibrium between QDs and monomers in the bulk solution, yielding a null growth rate. Therefore, D c establishes a threshold for both particle dissolution or shrinkage ( D < D c , negative growth rate) and growth ( D > D c , positive growth rate). , Then, returning to our original problem, when an ensemble of QDs in a particular colloidal medium is subjected to laser irradiation, some of the dispersed particles may be partially or completely decomposed into smaller fragments and/or individual atoms and molecules if the energy absorbed by the particles from the laser pulse is enough for that . Consequently, the interaction of the laser beam with the colloidal particles generates additional monomer units that are transported back to the reaction medium, instantaneously increasing the supersaturation degree S of the bulk solution.…”
Section: Results and Discussionmentioning
confidence: 98%
“…In addition, Δ E Coulomb is the energy shift due to the Coulomb interaction between the electron and the hole, and Δ E Pol is the energy shift resulting from the QD surface polarization associated with the dielectric mismatch between the QD material and the surrounding medium. The extensive algebraic form of the DLF equation and the numerical parameters required for its implementation are presented in detail in refs , along with the resulting bandgap vs particle size curve for CdTe colloidal QDs in an aqueous solution.…”
Section: Theoretical Sectionmentioning
confidence: 99%
“…37 To determine the average size of our QD samples, we have used a recently developed theoretical methodology that allows converting the measured PL spectrum into realistic estimates for the particle size distribution (PSD) of semiconductor QDs synthesized in a colloidal medium. 38,39 Such a spectroscopic model turned out to be particularly accurate for describing ensembles of nearly spherical colloidal QDs with extremely small sizes (average diameter as small as 1-3 nm), that have not been fully incorporated into the currently available empirical sizing equations. 32 The predicted PSDs exhibited an excellent agreement with those obtained from atomic force microscopy (AFM) and transmission electron microscopy (TEM), especially for aqueous CdTe QDs passivated with L-glutathione, which strictly corresponds to the same QD system investigated in the present work.…”
Section: Resultsmentioning
confidence: 99%