Reverse Coarsening and the Control of Particle Size Distribution through Surfactant

The minimization of surface area, as a result of the minimization of (positive) surface energy, is a well-known driving force behind the spontaneous broadening of (nano) particle size distribution. We show that surfactant molecules binding to particle surfaces effectively decrease the surface energy...

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Main Authors: Victor M. Burlakov, Alain Goriely
Format: Article
Language:English
Published: MDPI AG 2020-08-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/10/15/5359
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author Victor M. Burlakov
Alain Goriely
author_facet Victor M. Burlakov
Alain Goriely
author_sort Victor M. Burlakov
collection DOAJ
description The minimization of surface area, as a result of the minimization of (positive) surface energy, is a well-known driving force behind the spontaneous broadening of (nano) particle size distribution. We show that surfactant molecules binding to particle surfaces effectively decrease the surface energy and may change its sign. In this case, contrary to the expected broadening behavior, a minimum of free energy is achieved at the maximum surface area for all particles, i.e., when the particles are identical. Numerical simulations based on the classical Lifshitz–Slyozov–Wagner theory with surfactant-induced surface energy renormalization confirm the collapse of the particle size distribution. As the particle size evolution is much slower than particle nucleation and growth, the manipulation of surface energy with in-situ replacement of surfactant molecules provides a method for controlling particle size distribution with great potential for creating mono-disperse nanoparticles, a key goal of nanotechnology.
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spelling doaj.art-166e3d8c49244eb99123eb1c02c915732023-11-20T08:56:45ZengMDPI AGApplied Sciences2076-34172020-08-011015535910.3390/app10155359Reverse Coarsening and the Control of Particle Size Distribution through SurfactantVictor M. Burlakov0Alain Goriely1Linacre College, University of Oxford, Oxford OX1 3JA, UKMathematical Institute, University of Oxford, Oxford OX2 6GG, UKThe minimization of surface area, as a result of the minimization of (positive) surface energy, is a well-known driving force behind the spontaneous broadening of (nano) particle size distribution. We show that surfactant molecules binding to particle surfaces effectively decrease the surface energy and may change its sign. In this case, contrary to the expected broadening behavior, a minimum of free energy is achieved at the maximum surface area for all particles, i.e., when the particles are identical. Numerical simulations based on the classical Lifshitz–Slyozov–Wagner theory with surfactant-induced surface energy renormalization confirm the collapse of the particle size distribution. As the particle size evolution is much slower than particle nucleation and growth, the manipulation of surface energy with in-situ replacement of surfactant molecules provides a method for controlling particle size distribution with great potential for creating mono-disperse nanoparticles, a key goal of nanotechnology.https://www.mdpi.com/2076-3417/10/15/5359free energysurface energysurfactantsmolecular ligandsmono-disperse nanoparticlesparticle coarsening
spellingShingle Victor M. Burlakov
Alain Goriely
Reverse Coarsening and the Control of Particle Size Distribution through Surfactant
Applied Sciences
free energy
surface energy
surfactants
molecular ligands
mono-disperse nanoparticles
particle coarsening
title Reverse Coarsening and the Control of Particle Size Distribution through Surfactant
title_full Reverse Coarsening and the Control of Particle Size Distribution through Surfactant
title_fullStr Reverse Coarsening and the Control of Particle Size Distribution through Surfactant
title_full_unstemmed Reverse Coarsening and the Control of Particle Size Distribution through Surfactant
title_short Reverse Coarsening and the Control of Particle Size Distribution through Surfactant
title_sort reverse coarsening and the control of particle size distribution through surfactant
topic free energy
surface energy
surfactants
molecular ligands
mono-disperse nanoparticles
particle coarsening
url https://www.mdpi.com/2076-3417/10/15/5359
work_keys_str_mv AT victormburlakov reversecoarseningandthecontrolofparticlesizedistributionthroughsurfactant
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