Diffusive dynamics of nanoparticles in ultra-confined media

Jacob, Jack Deodato; Conrad, Jacinta; Krishnamoorti, Ramanan; Retterer, Scott T.; He, Kai

doi:10.1039/C5SM01437A

Diffusive dynamics of nanoparticles in ultra-confined media

Journal Article · Mon Aug 10 00:00:00 EDT 2015 · Soft Matter

DOI:https://doi.org/10.1039/C5SM01437A· OSTI ID:1265727

Jacob, Jack Deodato ^[1]; Conrad, Jacinta ^[1]; Krishnamoorti, Ramanan ^[1]; Retterer, Scott T. ^[2]; He, Kai ^[1]

Univ. of Houston, Houston, TX (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Differential dynamic microscopy (DDM) was used to investigate the diffusive dynamics of nanoparticles of diameter 200 400 nm that were strongly confined in a periodic square array of cylindrical nanoposts. The minimum distance between posts was 1.3 5 times the diameter of the nanoparticles. The image structure functions obtained from the DDM analysis were isotropic and could be fit by a stretched exponential function. The relaxation time scaled diffusively across the range of wave vectors studied, and the corresponding scalar diffusivities decreased monotonically with increased confinement. The decrease in diffusivity could be described by models for hindered diffusion that accounted for steric restrictions and hydrodynamic interactions. The stretching exponent decreased linearly as the nanoparticles were increasingly confined by the posts. Altogether, these results are consistent with a picture in which strongly confined nanoparticles experience a heterogeneous spatial environment arising from hydrodynamics and volume exclusion on time scales comparable to cage escape, leading to multiple relaxation processes and Fickian but non-Gaussian diffusive dynamics.

View Accepted Manuscript (DOE)

Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Center for Nanophase Materials Sciences (CNMS)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1265727

Journal Information:: Soft Matter, Journal Name: Soft Matter Journal Issue: 38 Vol. 11; ISSN 1744-683X

Publisher:: Royal Society of ChemistryCopyright Statement

Country of Publication:: United States

Language:: English

References (50)

Methods of Digital Video Microscopy for Colloidal Studies Crocker, John C.; Grier, David G. Journal of Colloid and Interface Science, Vol. 179, Issue 1 https://doi.org/10.1006/jcis.1996.0217	journal	April 1996
Numerical study of aD-dimensional periodic Lorentz gas with universal properties Bouchaud, Jean-Philippe; Le Doussal, Pierre Journal of Statistical Physics, Vol. 41, Issue 1-2 https://doi.org/10.1007/BF01020610	journal	October 1985
Microfluidic systems for the analysis of viscoelastic fluid flow phenomena in porous media Galindo-Rosales, F. J.; Campo-Deaño, L.; Pinho, F. T. Microfluidics and Nanofluidics, Vol. 12, Issue 1-4 https://doi.org/10.1007/s10404-011-0890-6	journal	October 2011
The slow motion of a sphere through a viscous fluid towards a plane surface Brenner, Howard Chemical Engineering Science, Vol. 16, Issue 3-4 https://doi.org/10.1016/0009-2509(61)80035-3	journal	December 1961
The constrained brownian movement of spherical particles in cylindrical pores of comparable radius Brenner, Howard; Gaydos, Lawrence J. Journal of Colloid and Interface Science, Vol. 58, Issue 2 https://doi.org/10.1016/0021-9797(77)90147-3	journal	February 1977
Some pitfalls in the use of the Knudsen equation in modelling diffusion in nanoporous materials Bhatia, Suresh K.; Nicholson, David Chemical Engineering Science, Vol. 66, Issue 3 https://doi.org/10.1016/j.ces.2010.10.038	journal	February 2011
An evaluation of modified silica nanoparticles’ efficiency in enhancing oil recovery of light and intermediate oil reservoirs Roustaei, Abbas; Saffarzadeh, Sadegh; Mohammadi, Milad Egyptian Journal of Petroleum, Vol. 22, Issue 3 https://doi.org/10.1016/j.ejpe.2013.06.010	journal	December 2013
A strong interaction theory for the creeping motion of a sphere between plane parallel boundaries. Part 2. Parallel motion Ganatos, Peter; Pfeffer, Robert; Weinbaum, Sheldon Journal of Fluid Mechanics, Vol. 99, Issue 4 https://doi.org/10.1017/S0022112080000882	journal	August 1980
Hindered Nanoparticle Diffusion and Void Accessibility in a Three-Dimensional Porous Medium Skaug, Michael J.; Wang, Liang; Ding, Yifu ACS Nano, Vol. 9, Issue 2 https://doi.org/10.1021/acsnano.5b00019	journal	January 2015
Delivery Vehicles for Zerovalent Metal Nanoparticles in Soil and Groundwater Schrick, Bettina; Hydutsky, Bianca W.; Blough, Jennifer L. Chemistry of Materials, Vol. 16, Issue 11 https://doi.org/10.1021/cm0218108	journal	June 2004
Enhanced Oil Recovery (EOR) Using Nanoparticle Dispersions: Underlying Mechanism and Imbibition Experiments Zhang, Hua; Nikolov, Alex; Wasan, Darsh Energy & Fuels, Vol. 28, Issue 5 https://doi.org/10.1021/ef500272r	journal	April 2014
Characterization of nZVI Mobility in a Field Scale Test Kocur, Chris M.; Chowdhury, Ahmed I.; Sakulchaicharoen, Nataphan Environmental Science & Technology, Vol. 48, Issue 5 https://doi.org/10.1021/es4044209	journal	February 2014
Hindered diffusion in slit pores: an analytical result Pawar, Yashodhara; Anderson, John L. Industrial & Engineering Chemistry Research, Vol. 32, Issue 4 https://doi.org/10.1021/ie00016a023	journal	April 1993
Hindrance Factors for Diffusion and Convection in Pores Dechadilok, Panadda; Deen, William M. Industrial & Engineering Chemistry Research, Vol. 45, Issue 21 https://doi.org/10.1021/ie051387n	journal	October 2006
Dynamics in Crowded Environments: Is Non-Gaussian Brownian Diffusion Normal? Kwon, Gyemin; Sung, Bong June; Yethiraj, Arun The Journal of Physical Chemistry B, Vol. 118, Issue 28 https://doi.org/10.1021/jp5011617	journal	May 2014
Anisotropic and Hindered Diffusion of Colloidal Particles in a Closed Cylinder Eral, H. B.; Oh, J. M.; van den Ende, D. Langmuir, Vol. 26, Issue 22 https://doi.org/10.1021/la102273n	journal	November 2010
Dynamics of Uncharged Colloidal Silica Spheres Confined in Bicontinuous Porous Glass Media Kluijtmans, Sebastiaan G. J. M.; Dhont, Jan K. G.; Philipse, Albert P. Langmuir, Vol. 13, Issue 19 https://doi.org/10.1021/la9701788	journal	September 1997
Hindered diffusion of water-soluble macromolecules in membranes Davidson, Marc G.; Deen, William M. Macromolecules, Vol. 21, Issue 12 https://doi.org/10.1021/ma00190a022	journal	December 1988
Confined Diffusion in Periodic Porous Nanostructures Raccis, Riccardo; Nikoubashman, Arash; Retsch, Markus ACS Nano, Vol. 5, Issue 6 https://doi.org/10.1021/nn200767x	journal	May 2011
Diffusive Dynamics of Nanoparticles in Arrays of Nanoposts He, Kai; Babaye Khorasani, Firoozeh; Retterer, Scott T. ACS Nano, Vol. 7, Issue 6 https://doi.org/10.1021/nn4007303	journal	May 2013
Direct Delivery of Functional Proteins and Enzymes to the Cytosol Using Nanoparticle-Stabilized Nanocapsules Tang, Rui; Kim, Chang Soo; Solfiell, David J. ACS Nano, Vol. 7, Issue 8 https://doi.org/10.1021/nn402753y	journal	July 2013
Transport and Dispersion of Nanoparticles in Periodic Nanopost Arrays He, Kai; Retterer, Scott T.; Srijanto, Bernadeta R. ACS Nano, Vol. 8, Issue 5 https://doi.org/10.1021/nn404497z	journal	April 2014
Even Hard-Sphere Colloidal Suspensions Display Fickian Yet Non-Gaussian Diffusion Guan, Juan; Wang, Bo; Granick, Steve ACS Nano, Vol. 8, Issue 4 https://doi.org/10.1021/nn405476t	journal	March 2014
Nanoscale Topography Influences Polymer Surface Diffusion Wang, Dapeng; He, Chunlin; Stoykovich, Mark P. ACS Nano, Vol. 9, Issue 2 https://doi.org/10.1021/nn506376n	journal	January 2015
Impact of Nanotechnology on Drug Delivery Farokhzad, Omid C.; Langer, Robert ACS Nano, Vol. 3, Issue 1 https://doi.org/10.1021/nn900002m	journal	December 2008
Surface Charge- and Space-Dependent Transport of Proteins in Crowded Environments of Nanotailored Posts Choi, Chang Kyoung; Fowlkes, Jason D.; Retterer, Scott T. ACS Nano, Vol. 4, Issue 6 https://doi.org/10.1021/nn901831q	journal	May 2010
Density-Dependent Diffusion in the Periodic Lorentz Gas Klages, R.; Dellago, Christoph Journal of Statistical Physics, Vol. 101, Issue 1/2, p. 145-159 https://doi.org/10.1023/A:1026445601619	journal	October 2000
When Brownian diffusion is not Gaussian Wang, Bo; Kuo, James; Bae, Sung Chul Nature Materials, Vol. 11, Issue 6 https://doi.org/10.1038/nmat3308	journal	May 2012
Dynamic arrest in model porous media—intermediate scattering functions Spanner, Markus; Schnyder, Simon K.; Höfling, Felix Soft Matter, Vol. 9, Issue 5 https://doi.org/10.1039/C2SM27060A	journal	January 2013
Lab-on-chip methodologies for the study of transport in porous media: energy applications Berejnov, Viatcheslav; Djilali, Ned; Sinton, David Lab on a Chip, Vol. 8, Issue 5 https://doi.org/10.1039/b802373p	journal	January 2008
Diffusive dynamics of nanoparticles in aqueous dispersions He, Kai; Spannuth, Melissa; Conrad, Jacinta C. Soft Matter, Vol. 8, Issue 47 https://doi.org/10.1039/c2sm26392k	journal	January 2012
Anomalous diffusion in heterogeneous porous media Koch, Donald L.; Brady, John F. Physics of Fluids, Vol. 31, Issue 5 https://doi.org/10.1063/1.866716	journal	January 1988
Anomalous yet Brownian Wang, B.; Anthony, S. M.; Bae, S. C. Proceedings of the National Academy of Sciences, Vol. 106, Issue 36 https://doi.org/10.1073/pnas.0903554106	journal	July 2009
Protein self-diffusion in crowded solutions Roosen-Runge, F.; Hennig, M.; Zhang, F. Proceedings of the National Academy of Sciences, Vol. 108, Issue 29 https://doi.org/10.1073/pnas.1107287108	journal	July 2011
Stretched-exponential relaxation: The role of system size Bunde, Armin; Havlin, Shlomo; Klafter, Joseph Philosophical Magazine B, Vol. 77, Issue 5 https://doi.org/10.1080/13642819808205025	journal	May 1998
Anomalous transport in the crowded world of biological cells Höfling, Felix; Franosch, Thomas Reports on Progress in Physics, Vol. 76, Issue 4 https://doi.org/10.1088/0034-4885/76/4/046602	journal	March 2013
Diffusion in the Lorentz Gas Dettmann, Carl P. Communications in Theoretical Physics, Vol. 62, Issue 4 https://doi.org/10.1088/0253-6102/62/4/10	journal	October 2014
Dynamic light scattering measurements in the activated regime of dense colloidal hard spheres El Masri, D.; Brambilla, G.; Pierno, M. Journal of Statistical Mechanics: Theory and Experiment, Vol. 2009, Issue 07 https://doi.org/10.1088/1742-5468/2009/07/P07015	journal	July 2009
Direct measurements of constrained Brownian motion of an isolated sphere between two walls Lin, Binhua; Yu, Jonathan; Rice, Stuart A. Physical Review E, Vol. 62, Issue 3 https://doi.org/10.1103/PhysRevE.62.3909	journal	September 2000
Direct measurement of anisotropic near-wall hindered diffusion using total internal reflection velocimetry Huang, Peter; Breuer, Kenneth S. Physical Review E, Vol. 76, Issue 4 https://doi.org/10.1103/PhysRevE.76.046307	journal	October 2007
Anisotropic diffusion of spherical particles in closely confining microchannels Dettmer, Simon L.; Pagliara, Stefano; Misiunas, Karolis Physical Review E, Vol. 89, Issue 6 https://doi.org/10.1103/PhysRevE.89.062305	journal	June 2014
Differential Dynamic Microscopy: Probing Wave Vector Dependent Dynamics with a Microscope Cerbino, Roberto; Trappe, Veronique Physical Review Letters, Vol. 100, Issue 18 https://doi.org/10.1103/PhysRevLett.100.188102	journal	May 2008
Dynamics of Concentrated Hard-Sphere Colloids Near a Wall Michailidou, V. N.; Petekidis, G.; Swan, J. W. Physical Review Letters, Vol. 102, Issue 6 https://doi.org/10.1103/PhysRevLett.102.068302	journal	February 2009
Diffusion in a Periodic Lorentz Gas Machta, Jonathan; Zwanzig, Robert Physical Review Letters, Vol. 50, Issue 25 https://doi.org/10.1103/PhysRevLett.50.1959	journal	June 1983
Subdiffusion and Anomalous Local Viscoelasticity in Actin Networks Amblard, F.; Maggs, A. C.; Yurke, B. Physical Review Letters, Vol. 77, Issue 21 https://doi.org/10.1103/PhysRevLett.77.4470	journal	November 1996
Undulations and Dynamic Structure Factor of Membranes Zilman, A. G.; Granek, R. Physical Review Letters, Vol. 77, Issue 23 https://doi.org/10.1103/PhysRevLett.77.4788	journal	December 1996
Heterogeneous Diffusion in a Reversible Gel Hurtado, Pablo I.; Berthier, Ludovic; Kob, Walter Physical Review Letters, Vol. 98, Issue 13 https://doi.org/10.1103/PhysRevLett.98.135503	journal	March 2007
Brownian Motion of Stiff Filaments in a Crowded Environment Fakhri, N.; MacKintosh, F. C.; Lounis, B. Science, Vol. 330, Issue 6012 https://doi.org/10.1126/science.1197321	journal	December 2010
Engineered nanoparticles interacting with cells: size matters Shang, Li; Nienhaus, Karin; Nienhaus, Gerd Journal of Nanobiotechnology, Vol. 12, Issue 1 https://doi.org/10.1186/1477-3155-12-5	journal	January 2014
Pore-throat sizes in sandstones, tight sandstones, and shales Nelson, Philip H. AAPG Bulletin, Vol. 93, Issue 3 https://doi.org/10.1306/10240808059	journal	March 2009

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