DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Stratification in Drying Films Containing Bidisperse Mixtures of Nanoparticles

Abstract

Large scale molecular dynamics simulations for bidisperse nanoparticle suspensions with an explicit solvent are used to investigate the effects of evaporation rates and volume fractions on the nanoparticle distribution during drying. Our results show that “small-on-top” stratification can occur when PesΦs ≳ c with c ~1, where Pes is the Péclet number and Φs is the volume fraction of the smaller particles. This threshold of PesΦs for “small-on-top” is larger by a factor of ~α2 than the prediction of the model treating solvent as an implicit viscous background, where α is the size ratio between the large and small particles. Our simulations further show that when the evaporation rate of the solvent is reduced, the “small-on-top” stratification can be enhanced, which is not predicted by existing theories. This unexpected behavior is explained with thermophoresis associated with a positive gradient of solvent density caused by evaporative cooling at the liquid/vapor interface. For ultrafast evaporation the gradient is large and drives the nanoparticles toward the liquid/vapor interface. This phoretic effect is stronger for larger nanoparticles, and consequently the “small-on-top” stratification becomes more distinct when the evaporation rate is slower (but not too slow such that a uniform distribution of nanoparticles in themore » drying film is produced), as thermophoresis that favors larger particles on the top is mitigated. A similar effect can lead to “large-on-top” stratification for PesΦs above the threshold when Pes is large but Φs is small. Lastly, our results reveal the importance of including the solvent explicitly when modeling evaporation-induced particle separation and organization and point to the important role of density gradients brought about by ultrafast evaporation.« less

Authors:
 [1]; ORCiD logo [2]; ORCiD logo [1]
  1. Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)
  2. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1457520
Report Number(s):
SAND-2018-6692J
Journal ID: ISSN 0743-7463; 664619
Grant/Contract Number:  
AC04-94AL85000
Resource Type:
Accepted Manuscript
Journal Name:
Langmuir
Additional Journal Information:
Journal Volume: 34; Journal Issue: 24; Journal ID: ISSN 0743-7463
Publisher:
American Chemical Society
Country of Publication:
United States
Language:
English
Subject:
77 NANOSCIENCE AND NANOTECHNOLOGY; 36 MATERIALS SCIENCE; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Evaporation; Drying; Nanoparticle; Suspension; Stratification; Péclet Number; Molecular Dynamics

Citation Formats

Tang, Yanfei, Grest, Gary S., and Cheng, Shengfeng. Stratification in Drying Films Containing Bidisperse Mixtures of Nanoparticles. United States: N. p., 2018. Web. doi:10.1021/acs.langmuir.8b01334.
Tang, Yanfei, Grest, Gary S., & Cheng, Shengfeng. Stratification in Drying Films Containing Bidisperse Mixtures of Nanoparticles. United States. https://doi.org/10.1021/acs.langmuir.8b01334
Tang, Yanfei, Grest, Gary S., and Cheng, Shengfeng. Wed . "Stratification in Drying Films Containing Bidisperse Mixtures of Nanoparticles". United States. https://doi.org/10.1021/acs.langmuir.8b01334. https://www.osti.gov/servlets/purl/1457520.
@article{osti_1457520,
title = {Stratification in Drying Films Containing Bidisperse Mixtures of Nanoparticles},
author = {Tang, Yanfei and Grest, Gary S. and Cheng, Shengfeng},
abstractNote = {Large scale molecular dynamics simulations for bidisperse nanoparticle suspensions with an explicit solvent are used to investigate the effects of evaporation rates and volume fractions on the nanoparticle distribution during drying. Our results show that “small-on-top” stratification can occur when PesΦs ≳ c with c ~1, where Pes is the Péclet number and Φs is the volume fraction of the smaller particles. This threshold of PesΦs for “small-on-top” is larger by a factor of ~α2 than the prediction of the model treating solvent as an implicit viscous background, where α is the size ratio between the large and small particles. Our simulations further show that when the evaporation rate of the solvent is reduced, the “small-on-top” stratification can be enhanced, which is not predicted by existing theories. This unexpected behavior is explained with thermophoresis associated with a positive gradient of solvent density caused by evaporative cooling at the liquid/vapor interface. For ultrafast evaporation the gradient is large and drives the nanoparticles toward the liquid/vapor interface. This phoretic effect is stronger for larger nanoparticles, and consequently the “small-on-top” stratification becomes more distinct when the evaporation rate is slower (but not too slow such that a uniform distribution of nanoparticles in the drying film is produced), as thermophoresis that favors larger particles on the top is mitigated. A similar effect can lead to “large-on-top” stratification for PesΦs above the threshold when Pes is large but Φs is small. Lastly, our results reveal the importance of including the solvent explicitly when modeling evaporation-induced particle separation and organization and point to the important role of density gradients brought about by ultrafast evaporation.},
doi = {10.1021/acs.langmuir.8b01334},
journal = {Langmuir},
number = 24,
volume = 34,
place = {United States},
year = {Wed May 23 00:00:00 EDT 2018},
month = {Wed May 23 00:00:00 EDT 2018}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 35 works
Citation information provided by
Web of Science

Figures / Tables:

Table 1 Table 1: Parameters for the fifteen systems studied.

Save / Share:

Works referenced in this record:

Expressions for the Evaporation and Condensation Coefficients in the Hertz-Knudsen Relation
journal, June 2016


Instabilities in Nanoporous Media
journal, January 2007

  • Chen, Jiun-Tai; Zhang, Mingfu; Russell, Thomas P.
  • Nano Letters, Vol. 7, Issue 1
  • DOI: 10.1021/nl0621241

The Critical Role of Solvent Evaporation on the Roughness of Spin-Cast Polymer Films
journal, July 2001

  • Strawhecker, Kenneth E.; Kumar, Sanat K.; Douglas, Jack F.
  • Macromolecules, Vol. 34, Issue 14
  • DOI: 10.1021/ma001440d

Morphological Evolution of Block Copolymer Particles: Effect of Solvent Evaporation Rate on Particle Shape and Morphology
journal, February 2017


Role of Casting Solvent on Nanoparticle Dispersion in Polymer Nanocomposites
journal, July 2014

  • Jouault, Nicolas; Zhao, Dan; Kumar, Sanat K.
  • Macromolecules, Vol. 47, Issue 15
  • DOI: 10.1021/ma500619g

Assembly of Branched Colloidal Nanocrystals in Polymer Films Leads to Enhanced Viscous Deformation Resistance
journal, September 2016


Kinetically driven self assembly of highly ordered nanoparticle monolayers
journal, March 2006

  • Bigioni, Terry P.; Lin, Xiao-Min; Nguyen, Toan T.
  • Nature Materials, Vol. 5, Issue 4
  • DOI: 10.1038/nmat1611

Fabrication of Arrays of Metal and Metal Oxide Nanotubes by Shadow Evaporation
journal, March 2008

  • Dickey, Michael D.; Weiss, Emily A.; Smythe, Elizabeth J.
  • ACS Nano, Vol. 2, Issue 4, p. 800-808
  • DOI: 10.1021/nn800036r

Evaporation-Induced Assembly of Quantum Dots into Nanorings
journal, December 2008

  • Chen, Jixin; Liao, Wei-Ssu; Chen, Xin
  • ACS Nano, Vol. 3, Issue 1
  • DOI: 10.1021/nn800568t

Fast Assembly of Gold Nanoparticles in Large-Area 2D Nanogrids Using a One-Step, Near-Infrared Radiation-Assisted Evaporation Process
journal, January 2016


Machine learning for autonomous crystal structure identification
journal, January 2017

  • Reinhart, Wesley F.; Long, Andrew W.; Howard, Michael P.
  • Soft Matter, Vol. 13, Issue 27
  • DOI: 10.1039/C7SM00957G

Ordering nanoparticles with polymer brushes
journal, December 2017

  • Cheng, Shengfeng; Stevens, Mark J.; Grest, Gary S.
  • The Journal of Chemical Physics, Vol. 147, Issue 22
  • DOI: 10.1063/1.5006048

Distribution of particles during solvent evaporation from films
journal, July 2004


Drying of thin colloidal films
journal, March 2013


Auto-stratification in drying colloidal dispersions: A diffusive model
journal, July 2012

  • Trueman, R. E.; Lago Domingues, E.; Emmett, S. N.
  • Journal of Colloid and Interface Science, Vol. 377, Issue 1
  • DOI: 10.1016/j.jcis.2012.03.045

Autostratification in Drying Colloidal Dispersions: Experimental Investigations
journal, February 2012

  • Trueman, R. E.; Lago Domingues, E.; Emmett, S. N.
  • Langmuir, Vol. 28, Issue 7
  • DOI: 10.1021/la203975b

Autostratification in Drying Colloidal Dispersions: Effect of Particle Interactions
journal, January 2012

  • Atmuri, Anand K.; Bhatia, Surita R.; Routh, Alexander F.
  • Langmuir, Vol. 28, Issue 5
  • DOI: 10.1021/la2039762

Self-Stratification During Film Formation from Latex Blends Driven by Differences in Collective Diffusivity
journal, August 2010

  • Nikiforow, Irina; Adams, Jörg; König, Alexander M.
  • Langmuir, Vol. 26, Issue 16
  • DOI: 10.1021/la101697r

Dynamic Stratification in Drying Films of Colloidal Mixtures
journal, March 2016

  • Fortini, Andrea; Martín-Fabiani, Ignacio; De La Haye, Jennifer Lesage
  • Physical Review Letters, Vol. 116, Issue 11
  • DOI: 10.1103/PhysRevLett.116.118301

Stratification and Size Segregation of Ternary and Polydisperse Colloidal Suspensions during Drying
journal, May 2017


Ceramic Nanoparticle/Monodisperse Latex Coatings
journal, April 2008

  • Luo, Hui; Cardinal, Christine M.; Scriven, L. E.
  • Langmuir, Vol. 24, Issue 10
  • DOI: 10.1021/la800050u

Stratification Dynamics in Drying Colloidal Mixtures
journal, April 2017


Cross Interaction Drives Stratification in Drying Film of Binary Colloidal Mixtures
journal, March 2017


Stratification in binary colloidal polymer films: experiment and simulations
journal, January 2017

  • Makepeace, D. K.; Fortini, A.; Markov, A.
  • Soft Matter, Vol. 13, Issue 39
  • DOI: 10.1039/C7SM01267E

Stratification during evaporative assembly of multicomponent nanoparticle films
journal, April 2018


pH-Switchable Stratification of Colloidal Coatings: Surfaces “On Demand”
journal, December 2016

  • Martín-Fabiani, Ignacio; Fortini, Andrea; Lesage de la Haye, Jennifer
  • ACS Applied Materials & Interfaces, Vol. 8, Issue 50
  • DOI: 10.1021/acsami.6b12015

On Interaction between Two Bodies Immersed in a Solution of Macromolecules
journal, July 1954

  • Asakura, Sho; Oosawa, Fumio
  • The Journal of Chemical Physics, Vol. 22, Issue 7
  • DOI: 10.1063/1.1740347

Diffusiophoresis in nonadsorbing polymer solutions: The Asakura-Oosawa model and stratification in drying films
journal, December 2017


Stratification of mixtures in evaporating liquid films occurs only for a range of volume fractions of the smaller component
journal, April 2018

  • Sear, Richard P.
  • The Journal of Chemical Physics, Vol. 148, Issue 13
  • DOI: 10.1063/1.5022243

Simple Model of Skin Formation Caused by Solvent Evaporation in Polymer Solutions
journal, September 2006


Evaporation of Lennard-Jones fluids
journal, June 2011

  • Cheng, Shengfeng; Lechman, Jeremy B.; Plimpton, Steven J.
  • The Journal of Chemical Physics, Vol. 134, Issue 22
  • DOI: 10.1063/1.3595260

Molecular dynamics simulations of evaporation-induced nanoparticle assembly
journal, February 2013

  • Cheng, Shengfeng; Grest, Gary S.
  • The Journal of Chemical Physics, Vol. 138, Issue 6
  • DOI: 10.1063/1.4789807

Phoresis in fluids
journal, December 2011


Dispersing Nanoparticles in a Polymer Film via Solvent Evaporation
journal, May 2016


Accurate and efficient methods for modeling colloidal mixtures in an explicit solvent using molecular dynamics
journal, September 2008

  • in 't Veld, Pieter J.; Plimpton, Steven J.; Grest, Gary S.
  • Computer Physics Communications, Vol. 179, Issue 5
  • DOI: 10.1016/j.cpc.2008.03.005

Effective potentials between nanoparticles in suspension
journal, April 2011

  • Grest, Gary S.; Wang, Qifei; Veld, Pieter in't
  • The Journal of Chemical Physics, Vol. 134, Issue 14
  • DOI: 10.1063/1.3578181

Structure and diffusion of nanoparticle monolayers floating at liquid/vapor interfaces: A molecular dynamics study
journal, June 2012

  • Cheng, Shengfeng; Grest, Gary S.
  • The Journal of Chemical Physics, Vol. 136, Issue 21
  • DOI: 10.1063/1.4725543

Fast Parallel Algorithms for Short-Range Molecular Dynamics
journal, March 1995


Communication: Evaporation: Influence of heat transport in the liquid on the interface temperature and the particle flux
journal, August 2016

  • Heinen, Matthias; Vrabec, Jadran; Fischer, Johann
  • The Journal of Chemical Physics, Vol. 145, Issue 8
  • DOI: 10.1063/1.4961542

Works referencing / citing this record:

Stratification in the dynamics of sedimenting colloidal platelet–sphere mixtures
journal, January 2019


Experimental and theoretical evidence for molecular forces driving surface segregation in photonic colloidal assemblies
journal, September 2019


A critical and quantitative review of the stratification of particles during the drying of colloidal films
journal, January 2018


Influence of hydrodynamic interactions on stratification in drying mixtures
journal, July 2018

  • Statt, Antonia; Howard, Michael P.; Panagiotopoulos, Athanassios Z.
  • The Journal of Chemical Physics, Vol. 149, Issue 2
  • DOI: 10.1063/1.5031789

Stratification of drying particle suspensions: Comparison of implicit and explicit solvent simulations
journal, June 2019

  • Grest, Gary S.
  • The Journal of Chemical Physics, Vol. 150, Issue 22
  • DOI: 10.1063/1.5066035

Directional freezing of binary colloidal suspensions: a model for size fractionation of graphene oxide
journal, January 2019


Evaporation-induced assembly of colloidal crystals
journal, September 2018

  • Howard, Michael P.; Reinhart, Wesley F.; Sanyal, Tanmoy
  • The Journal of Chemical Physics, Vol. 149, Issue 9
  • DOI: 10.1063/1.5043401

Evaporation sampled by stationary molecular dynamics simulation
journal, July 2019

  • Heinen, Matthias; Vrabec, Jadran
  • The Journal of Chemical Physics, Vol. 151, Issue 4
  • DOI: 10.1063/1.5111759

Segregation in Drying Binary Colloidal Droplets
journal, March 2019


Experimental and theoretical evidence for molecular forces driving surface segregation in photonic colloidal assemblies
journal, September 2019


Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.