A Rayleighian approach for modeling kinetics of ionic transport in polymeric media
Abstract
Here, we report a theoretical approach for analyzing impedance of ionic liquids (ILs) and charged polymers such as polymerized ionic liquids (PolyILs) within linear response. The approach is based on the Rayleigh dissipation function formalism, which provides a computational framework for a systematic study of various factors, including polymer dynamics, in affecting the impedance. We present an analytical expression for the impedance within linear response by constructing a one-dimensional model for ionic transport in ILs/PolyILs. This expression is used to extract mutual diffusion constants, the length scale of mutual diffusion, and thicknesses of a low-dielectric layer on the electrodes from the broadband dielectric spectroscopy (BDS) measurements done for an IL and three PolyILs. Also, static dielectric permittivities of the IL and the PolyILs are determined. The extracted mutual diffusion constants are compared with the self diffusion constants of ions measured using pulse field gradient (PFG) fluorine nuclear magnetic resonance (NMR). For the first time, excellent agreements between the diffusivities extracted from the Electrode Polarization spectra (EPS) of IL/PolyILs and those measured using the PFG-NMR are found, which allows the use of the EPS and the PFG-NMR techniques in a complimentary manner for a general understanding of the ionic transport.
- Authors:
-
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Univ. of Tennessee, Knoxville, TN (United States)
- Hunter College of the City Univ. of New York, New York, NY (United States)
- (United States)
- Publication Date:
- Research Org.:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1344272
- Alternate Identifier(s):
- OSTI ID: 1987886
- Grant/Contract Number:
- AC05-00OR22725
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Chemical Physics
- Additional Journal Information:
- Journal Volume: 146; Journal Issue: 6; Journal ID: ISSN 0021-9606
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE
Citation Formats
Kumar, Rajeev, Mahalik, Jyoti P., Bocharova, Vera, Stacy, Eric W., Gainaru, Catalin, Saito, Tomonori, Gobet, Mallory P., Greenbaum, Steve, Sumpter, Bobby G., Sokolov, Alexei P., and Univ. of Tennessee, Knoxville, TN. A Rayleighian approach for modeling kinetics of ionic transport in polymeric media. United States: N. p., 2017.
Web. doi:10.1063/1.4975309.
Kumar, Rajeev, Mahalik, Jyoti P., Bocharova, Vera, Stacy, Eric W., Gainaru, Catalin, Saito, Tomonori, Gobet, Mallory P., Greenbaum, Steve, Sumpter, Bobby G., Sokolov, Alexei P., & Univ. of Tennessee, Knoxville, TN. A Rayleighian approach for modeling kinetics of ionic transport in polymeric media. United States. https://doi.org/10.1063/1.4975309
Kumar, Rajeev, Mahalik, Jyoti P., Bocharova, Vera, Stacy, Eric W., Gainaru, Catalin, Saito, Tomonori, Gobet, Mallory P., Greenbaum, Steve, Sumpter, Bobby G., Sokolov, Alexei P., and Univ. of Tennessee, Knoxville, TN. Tue .
"A Rayleighian approach for modeling kinetics of ionic transport in polymeric media". United States. https://doi.org/10.1063/1.4975309. https://www.osti.gov/servlets/purl/1344272.
@article{osti_1344272,
title = {A Rayleighian approach for modeling kinetics of ionic transport in polymeric media},
author = {Kumar, Rajeev and Mahalik, Jyoti P. and Bocharova, Vera and Stacy, Eric W. and Gainaru, Catalin and Saito, Tomonori and Gobet, Mallory P. and Greenbaum, Steve and Sumpter, Bobby G. and Sokolov, Alexei P. and Univ. of Tennessee, Knoxville, TN},
abstractNote = {Here, we report a theoretical approach for analyzing impedance of ionic liquids (ILs) and charged polymers such as polymerized ionic liquids (PolyILs) within linear response. The approach is based on the Rayleigh dissipation function formalism, which provides a computational framework for a systematic study of various factors, including polymer dynamics, in affecting the impedance. We present an analytical expression for the impedance within linear response by constructing a one-dimensional model for ionic transport in ILs/PolyILs. This expression is used to extract mutual diffusion constants, the length scale of mutual diffusion, and thicknesses of a low-dielectric layer on the electrodes from the broadband dielectric spectroscopy (BDS) measurements done for an IL and three PolyILs. Also, static dielectric permittivities of the IL and the PolyILs are determined. The extracted mutual diffusion constants are compared with the self diffusion constants of ions measured using pulse field gradient (PFG) fluorine nuclear magnetic resonance (NMR). For the first time, excellent agreements between the diffusivities extracted from the Electrode Polarization spectra (EPS) of IL/PolyILs and those measured using the PFG-NMR are found, which allows the use of the EPS and the PFG-NMR techniques in a complimentary manner for a general understanding of the ionic transport.},
doi = {10.1063/1.4975309},
journal = {Journal of Chemical Physics},
number = 6,
volume = 146,
place = {United States},
year = {Tue Feb 14 00:00:00 EST 2017},
month = {Tue Feb 14 00:00:00 EST 2017}
}
Web of Science
Works referenced in this record:
Theories and Problems of Liquid Diffusion
journal, November 1945
- Onsager, Lars
- Annals of the New York Academy of Sciences, Vol. 46, Issue 5 The Diffusion
Diffuse-charge dynamics in electrochemical systems
journal, August 2004
- Bazant, Martin Z.; Thornton, Katsuyo; Ajdari, Armand
- Physical Review E, Vol. 70, Issue 2
Dielectric spectroscopy and conductivity of polyelectrolyte solutions
journal, November 2004
- Bordi, F.; Cametti, C.; Colby, R. H.
- Journal of Physics: Condensed Matter, Vol. 16, Issue 49
Dielectric and Viscoelastic Responses of Imidazolium-Based Ionomers with Different Counterions and Side Chain Lengths
journal, January 2014
- Choi, U. Hyeok; Ye, Yuesheng; Salas de la Cruz, David
- Macromolecules, Vol. 47, Issue 2
Differential capacitance of the double layer at the electrode/ionic liquids interface
journal, January 2010
- Lockett, Vera; Horne, Mike; Sedev, Rossen
- Physical Chemistry Chemical Physics, Vol. 12, Issue 39
Mechanism of Conductivity Relaxation in Liquid and Polymeric Electrolytes: Direct Link between Conductivity and Diffusivity
journal, October 2016
- Gainaru, C.; Stacy, E. W.; Bocharova, V.
- The Journal of Physical Chemistry B, Vol. 120, Issue 42
Reciprocal Relations in Irreversible Processes. II.
journal, December 1931
- Onsager, Lars
- Physical Review, Vol. 38, Issue 12
The effect of molecular weight on cation mobility in polymer electrolytes
journal, March 1993
- Shi, J.; Vincent, C.
- Solid State Ionics, Vol. 60, Issue 1-3
Examination of methods to determine free-ion diffusivity and number density from analysis of electrode polarization
journal, April 2013
- Wang, Yangyang; Sun, Che-Nan; Fan, Fei
- Physical Review E, Vol. 87, Issue 4
Computer Simulations of Ion Transport in Polymer Electrolyte Membranes
journal, June 2016
- Mogurampelly, Santosh; Borodin, Oleg; Ganesan, Venkat
- Annual Review of Chemical and Biomolecular Engineering, Vol. 7, Issue 1
Brownian dynamics of polymer solutions
journal, July 1984
- Edwards, S. F.; Muthukumar, M.
- Macromolecules, Vol. 17, Issue 4
The static dielectric permittivity of ionic liquids
journal, April 2014
- Weingärtner, Hermann
- Journal of Molecular Liquids, Vol. 192
Effect of Molecular Weight and Salt Concentration on Ion Transport and the Transference Number in Polymer Electrolytes
journal, October 2015
- Timachova, Ksenia; Watanabe, Hiroshi; Balsara, Nitash P.
- Macromolecules, Vol. 48, Issue 21
Modeling electrode polarization in dielectric spectroscopy: Ion mobility and mobile ion concentration of single-ion polymer electrolytes
journal, April 2006
- Klein, Robert J.; Zhang, Shihai; Dou, Shichen
- The Journal of Chemical Physics, Vol. 124, Issue 14
Universality of ac conduction in disordered solids
journal, July 2000
- Dyre, Jeppe C.; Schrøder, Thomas B.
- Reviews of Modern Physics, Vol. 72, Issue 3
Steric effects in the dynamics of electrolytes at large applied voltages. I. Double-layer charging
journal, February 2007
- Kilic, Mustafa Sabri; Bazant, Martin Z.; Ajdari, Armand
- Physical Review E, Vol. 75, Issue 2
Steric effects in the dynamics of electrolytes at large applied voltages. II. Modified Poisson-Nernst-Planck equations
journal, February 2007
- Kilic, Mustafa Sabri; Bazant, Martin Z.; Ajdari, Armand
- Physical Review E, Vol. 75, Issue 2
Comparison of two generation-recombination terms in the Poisson-Nernst-Planck model
journal, October 2012
- Lelidis, I.; Barbero, G.; Sfarna, A.
- The Journal of Chemical Physics, Vol. 137, Issue 15
Reciprocal Relations in Irreversible Processes. I.
journal, February 1931
- Onsager, Lars
- Physical Review, Vol. 37, Issue 4
Complex permittivity of a conducting, dielectric layer containing arbitrary binary Nernst–Planck electrolytes with applications to polymer films and cellulose acetate membranes
journal, January 1995
- Sørensen, Torben Smith; Compañ, Vicente
- J. Chem. Soc., Faraday Trans., Vol. 91, Issue 23
Polymer Electrolytes
journal, July 2013
- Hallinan, Daniel T.; Balsara, Nitash P.
- Annual Review of Materials Research, Vol. 43, Issue 1
Comparison of Impedance Spectroscopy Expressions and Responses of Alternate Anomalous Poisson−Nernst−Planck Diffusion Equations for Finite-Length Situations
journal, March 2011
- Macdonald, J. Ross; Evangelista, Luiz Roberto; Lenzi, Ervin Kaminski
- The Journal of Physical Chemistry C, Vol. 115, Issue 15
Ion transport and softening in a polymerized ionic liquid
journal, January 2015
- Kumar, Rajeev; Bocharova, Vera; Strelcov, Evgheni
- Nanoscale, Vol. 7, Issue 3
Sur la relaxation d'une charge d'espace
journal, January 1983
- Coelho, R.
- Revue de Physique Appliquée, Vol. 18, Issue 3
Theory of the dynamical viscosity of polymer solutions
journal, August 1974
- Edwards, S. F.; Freed, Karl F.
- The Journal of Chemical Physics, Vol. 61, Issue 3
Poisson–Nernst–Planck model with Chang-Jaffe, diffusion, and ohmic boundary conditions
journal, November 2015
- Lelidis, I.; Ross Macdonald, J.; Barbero, G.
- Journal of Physics D: Applied Physics, Vol. 49, Issue 2
Fluctuations and Irreversible Processes
journal, September 1953
- Onsager, L.; Machlup, S.
- Physical Review, Vol. 91, Issue 6
Theory of small‐signal ac response of solids and liquids with recombining mobile charge
journal, February 1978
- Macdonald, J. Ross; Franceschetti, Donald R.
- The Journal of Chemical Physics, Vol. 68, Issue 4
Theory of ac Space-Charge Polarization Effects in Photoconductors, Semiconductors, and Electrolytes
journal, October 1953
- Macdonald, J. Ross
- Physical Review, Vol. 92, Issue 1
Fundamental questions relating to ion conduction in disordered solids
journal, March 2009
- Dyre, Jeppe C.; Maass, Philipp; Roling, Bernhard
- Reports on Progress in Physics, Vol. 72, Issue 4
Onsager’s variational principle in soft matter
journal, June 2011
- Doi, Masao
- Journal of Physics: Condensed Matter, Vol. 23, Issue 28
Cation Transport in Polymer Electrolytes: A Microscopic Approach
journal, May 2007
- Maitra, A.; Heuer, A.
- Physical Review Letters, Vol. 98, Issue 22
Molecular Volume Effects on the Dynamics of Polymerized Ionic Liquids and their Monomers
journal, September 2015
- Choi, U. Hyeok; Mittal, Anuj; Price, Terry L.
- Electrochimica Acta, Vol. 175
Equilibrium and Non-Equilibrium Type β-Relaxations: d -Sorbitol versus o -Terphenyl
journal, May 1999
- Wagner, Hermann; Richert, Ranko
- The Journal of Physical Chemistry B, Vol. 103, Issue 20
Microphase separation in thin films of lamellar forming polydisperse di-block copolymers
journal, January 2015
- Kumar, Rajeev; Lokitz, Bradley S.; Sides, Scott W.
- RSC Advances, Vol. 5, Issue 27
On the static permittivity of dipolar and conductive media — an educational approach
journal, June 1991
- Coelho, R.
- Journal of Non-Crystalline Solids, Vol. 131-133
Orientation and mutual location of ions at the surface of ionic liquids
journal, January 2010
- Lockett, Vera; Sedev, Rossen; Harmer, Sarah
- Physical Chemistry Chemical Physics, Vol. 12, Issue 41
Decoupling of Ionic Transport from Segmental Relaxation in Polymer Electrolytes
journal, February 2012
- Wang, Yangyang; Agapov, Alexander L.; Fan, Fei
- Physical Review Letters, Vol. 108, Issue 8
Works referencing / citing this record:
Modeling solvent evaporation during thin film formation in phase separating polymer mixtures
journal, January 2018
- Cummings, John; Lowengrub, John S.; Sumpter, Bobby G.
- Soft Matter, Vol. 14, Issue 10
Structure and dynamics of short-chain polymerized ionic liquids
journal, July 2019
- Wieland, F.; Bocharova, V.; Münzner, P.
- The Journal of Chemical Physics, Vol. 151, Issue 3