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

Title: Ionic current in nanochannels grafted with pH-responsive polyelectrolyte brushes modeled using augmented strong stretching theory

Abstract

Here, we provide a theory to quantify the ionic current (iion) in nanochannels grafted with pH-responsive polyelectrolyte (PE) brushes. We consider the PE brushes to be modelled by our recently proposed augmented strong stretching theory (SST) model that improves the existing SST models by incorporating the effects of excluded volume interactions and an extended mass action law. Use of such augmented SST for this problem implies that this is the first study on computing iion in PE-brush-grafted nanochannels accounting for the appropriate coupled con guration-electrostatic description of the PE brushes. iion is obtained as functions of PE brush grafting density, medium pH and salt concentration (c), and the density of polyelectrolyte chargeable sites (PECS). For large c, iion increases linearly with c (as for such c, iion becomes independent of the PE charge and is dominated by the bulk mobility and number density of the electrolyte ions), while iion is independent of c at small c (where the EDL electrostatics and the total number of ions in the system is dominated by the hydrogen ions). We further witness an enhancement of iion for smaller pH and larger grafting density at low and moderate c, while there is little to nomore » effect of the PECS density on the ionic current except for weakly grafted brushes at low c. We believe that this study will serve as a theoretical foundation for a large number of applications that are based on the brush-induced modification of the ionic current in a nanochannel.« less

Authors:
 [1];  [1];  [1];  [2]; ORCiD logo [1]
  1. Univ. of Maryland, College Park, MD (United States)
  2. Princeton Univ., NJ (United States)
Publication Date:
Research Org.:
Univ. of Maryland, College Park, MD (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1595335
Grant/Contract Number:  
SC0017741
Resource Type:
Accepted Manuscript
Journal Name:
Electrophoresis
Additional Journal Information:
Journal Volume: 41; Journal Issue: 7-8; Journal ID: ISSN 0173-0835
Publisher:
Wiley
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; ionic current; nanochannel; polyelectrolyte brush; strong stretching theory

Citation Formats

Sachar, Harnoor Singh, Sivasankar, Vishal Sankar, Etha, Sai Ankit, Chen, Guang, and Das, Siddhartha. Ionic current in nanochannels grafted with pH-responsive polyelectrolyte brushes modeled using augmented strong stretching theory. United States: N. p., 2019. Web. doi:10.1002/elps.201900248.
Sachar, Harnoor Singh, Sivasankar, Vishal Sankar, Etha, Sai Ankit, Chen, Guang, & Das, Siddhartha. Ionic current in nanochannels grafted with pH-responsive polyelectrolyte brushes modeled using augmented strong stretching theory. United States. https://doi.org/10.1002/elps.201900248
Sachar, Harnoor Singh, Sivasankar, Vishal Sankar, Etha, Sai Ankit, Chen, Guang, and Das, Siddhartha. Sat . "Ionic current in nanochannels grafted with pH-responsive polyelectrolyte brushes modeled using augmented strong stretching theory". United States. https://doi.org/10.1002/elps.201900248. https://www.osti.gov/servlets/purl/1595335.
@article{osti_1595335,
title = {Ionic current in nanochannels grafted with pH-responsive polyelectrolyte brushes modeled using augmented strong stretching theory},
author = {Sachar, Harnoor Singh and Sivasankar, Vishal Sankar and Etha, Sai Ankit and Chen, Guang and Das, Siddhartha},
abstractNote = {Here, we provide a theory to quantify the ionic current (iion) in nanochannels grafted with pH-responsive polyelectrolyte (PE) brushes. We consider the PE brushes to be modelled by our recently proposed augmented strong stretching theory (SST) model that improves the existing SST models by incorporating the effects of excluded volume interactions and an extended mass action law. Use of such augmented SST for this problem implies that this is the first study on computing iion in PE-brush-grafted nanochannels accounting for the appropriate coupled con guration-electrostatic description of the PE brushes. iion is obtained as functions of PE brush grafting density, medium pH and salt concentration (c∞), and the density of polyelectrolyte chargeable sites (PECS). For large c∞, iion increases linearly with c∞ (as for such c∞, iion becomes independent of the PE charge and is dominated by the bulk mobility and number density of the electrolyte ions), while iion is independent of c∞ at small c∞ (where the EDL electrostatics and the total number of ions in the system is dominated by the hydrogen ions). We further witness an enhancement of iion for smaller pH and larger grafting density at low and moderate c∞, while there is little to no effect of the PECS density on the ionic current except for weakly grafted brushes at low c∞. We believe that this study will serve as a theoretical foundation for a large number of applications that are based on the brush-induced modification of the ionic current in a nanochannel.},
doi = {10.1002/elps.201900248},
journal = {Electrophoresis},
number = 7-8,
volume = 41,
place = {United States},
year = {2019},
month = {9}
}

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

Citation Metrics:
Cited by: 1 work
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Rectification of ionic current in nanopores functionalized with bipolar polyelectrolyte brushes
journal, April 2018


Single Conical Nanopores Displaying pH-Tunable Rectifying Characteristics. Manipulating Ionic Transport With Zwitterionic Polymer Brushes
journal, February 2009

  • Yameen, Basit; Ali, Mubarak; Neumann, Reinhard
  • Journal of the American Chemical Society, Vol. 131, Issue 6
  • DOI: 10.1021/ja8086104

An improved model for predicting electrical conductance in nanochannels
journal, January 2015

  • Taghipoor, M.; Bertsch, A.; Renaud, Ph.
  • Physical Chemistry Chemical Physics, Vol. 17, Issue 6
  • DOI: 10.1039/C4CP05338A

Highly enhanced liquid flows via thermoosmotic effects in soft and charged nanochannels
journal, January 2018

  • Maheedhara, Raja Sampath; Jing, Haoyuan; Sachar, Harnoor Singh
  • Physical Chemistry Chemical Physics, Vol. 20, Issue 37
  • DOI: 10.1039/C8CP04089C

Massively Enhanced Electroosmotic Transport in Nanochannels Grafted with End-Charged Polyelectrolyte Brushes
journal, March 2017


Electroosmotic transport in polyelectrolyte-grafted nanochannels with pH-dependent charge density
journal, May 2015

  • Chen, Guang; Das, Siddhartha
  • Journal of Applied Physics, Vol. 117, Issue 18
  • DOI: 10.1063/1.4919813

Efficient electrochemomechanical energy conversion in nanochannels grafted with end-charged polyelectrolyte brushes at medium and high salt concentration
journal, January 2018

  • Chen, Guang; Sachar, Harnoor Singh; Das, Siddhartha
  • Soft Matter, Vol. 14, Issue 25
  • DOI: 10.1039/C8SM00768C

Ion transport and selectivity in biomimetic nanopores with pH-tunable zwitterionic polyelectrolyte brushes
journal, January 2015

  • Zeng, Zhenping; Yeh, Li-Hsien; Zhang, Mingkan
  • Nanoscale, Vol. 7, Issue 40
  • DOI: 10.1039/C5NR05828G

Chiral recognition of l -tryptophan with beta-cyclodextrin-modified biomimetic single nanochannel
journal, January 2015

  • Xie, Ganhua; Tian, Wei; Wen, Liping
  • Chemical Communications, Vol. 51, Issue 15
  • DOI: 10.1039/C4CC09577D

Biosensing and Supramolecular Bioconjugation in Single Conical Polymer Nanochannels. Facile Incorporation of Biorecognition Elements into Nanoconfined Geometries
journal, December 2008

  • Ali, Mubarak; Yameen, Basit; Neumann, Reinhard
  • Journal of the American Chemical Society, Vol. 130, Issue 48
  • DOI: 10.1021/ja8071258

Tunable Donnan Potential and Electrokinetic Flow in a Biomimetic Gated Nanochannel with pH-Regulated Polyelectrolyte Brushes
journal, August 2014

  • Milne, Zachary; Yeh, Li-Hsien; Chou, Tzung-Han
  • The Journal of Physical Chemistry C, Vol. 118, Issue 34
  • DOI: 10.1021/jp504588b

Alternating current electroosmotic flow in polyelectrolyte-grafted nanochannel
journal, November 2016


Electrokinetics in polyelectrolyte grafted nanofluidic channels modulated by the ion partitioning effect
journal, January 2016

  • Poddar, Antarip; Maity, Debonil; Bandopadhyay, Aditya
  • Soft Matter, Vol. 12, Issue 27
  • DOI: 10.1039/C6SM00275G

Synthetic Proton-Gated Ion Channels via Single Solid-State Nanochannels Modified with Responsive Polymer Brushes
journal, July 2009

  • Yameen, Basit; Ali, Mubarak; Neumann, Reinhard
  • Nano Letters, Vol. 9, Issue 7
  • DOI: 10.1021/nl901403u

Ionic Diffusoosmosis in Nanochannels Grafted with End-Charged Polyelectrolyte Brushes
journal, July 2018

  • Maheedhara, Raja Sampath; Sachar, Harnoor Singh; Jing, Haoyuan
  • The Journal of Physical Chemistry B, Vol. 122, Issue 29
  • DOI: 10.1021/acs.jpcb.8b04827

Self-consistent field theory of polyelectrolyte brushes with finite chain extensibility
journal, June 2017

  • Lebedeva, Inna O.; Zhulina, Ekaterina B.; Borisov, Oleg V.
  • The Journal of Chemical Physics, Vol. 146, Issue 21
  • DOI: 10.1063/1.4984101

Influence of salt valence on the rectification behavior of nanochannels
journal, December 2018


Efficient electrochemomechanical energy conversion in nanochannels grafted with polyelectrolyte layers with pH-dependent charge density
journal, January 2016

  • Patwary, Jahin; Chen, Guang; Das, Siddhartha
  • Microfluidics and Nanofluidics, Vol. 20, Issue 2
  • DOI: 10.1007/s10404-015-1695-9

Structure and interaction of weakly charged polyelectrolyte brushes: Self-consistent field theory
journal, October 1997

  • Zhulina, E. B.; Borisov, O. V.
  • The Journal of Chemical Physics, Vol. 107, Issue 15
  • DOI: 10.1063/1.474320

Carbohydrate-actuated nanofluidic diode: switchable current rectification in a nanopipette
journal, January 2013

  • Vilozny, Boaz; Wollenberg, Alexander L.; Actis, Paolo
  • Nanoscale, Vol. 5, Issue 19
  • DOI: 10.1039/c3nr02105j

Buffer effect on the ionic conductance in a pH-regulated nanochannel
journal, February 2015


The effect of the surface functionalization and the electrolyte concentration on the electrical conductance of silica nanochannels
journal, May 2013

  • Martins, D. C.; Chu, V.; Conde, J. P.
  • Biomicrofluidics, Vol. 7, Issue 3
  • DOI: 10.1063/1.4811277

Electrokinetic energy conversion efficiency of viscoelastic fluids in a polyelectrolyte-grafted nanochannel
journal, August 2017


Electrokinetic ion and fluid transport in nanopores functionalized by polyelectrolyte brushes
journal, January 2012

  • Yeh, Li-Hsien; Zhang, Mingkan; Hu, Ning
  • Nanoscale, Vol. 4, Issue 16
  • DOI: 10.1039/c2nr31069d

Screening Effects in a Polyelectrolyte Brush:  Self-Consistent-Field Theory
journal, June 2000

  • Zhulina, E. B.; Klein Wolterink, J.; Borisov, O. V.
  • Macromolecules, Vol. 33, Issue 13
  • DOI: 10.1021/ma990187i

Transient alternating current electroosmotic flow of a Jeffrey fluid through a polyelectrolyte-grafted nanochannel
journal, January 2017

  • Li, Fengqin; Jian, Yongjun; Xie, Zhiyong
  • RSC Advances, Vol. 7, Issue 2
  • DOI: 10.1039/C6RA24930B

Hydrogen Peroxide Sensing with Horseradish Peroxidase-Modified Polymer Single Conical Nanochannels
journal, March 2011

  • Ali, Mubarak; Tahir, Muhammad Nawaz; Siwy, Zuzanna
  • Analytical Chemistry, Vol. 83, Issue 5
  • DOI: 10.1021/ac102795a

Poisson–Boltzmann Theory of pH-Sensitive (Annealing) Polyelectrolyte Brush
journal, September 2011


Streaming potential and electroviscous effects in soft nanochannels beyond Debye–Hückel linearization
journal, May 2015


Field effect regulation of Donnan potential and electrokinetic flow in a functionalized soft nanochannel
journal, January 2013

  • Benson, Laura; Yeh, Li-Hsien; Chou, Tzung-Han
  • Soft Matter, Vol. 9, Issue 41
  • DOI: 10.1039/c3sm51981c

Protein Biosensors Based on Biofunctionalized Conical Gold Nanotubes
journal, April 2005

  • Siwy, Zuzanna; Trofin, Lacramioara; Kohli, Punit
  • Journal of the American Chemical Society, Vol. 127, Issue 14
  • DOI: 10.1021/ja043910f

pH-regulated ionic current rectification in conical nanopores functionalized with polyelectrolyte brushes
journal, January 2014

  • Zeng, Zhenping; Ai, Ye; Qian, Shizhi
  • Phys. Chem. Chem. Phys., Vol. 16, Issue 6
  • DOI: 10.1039/C3CP54097A

Analytical Self-Consistent-Field Model of Weak Polyacid Brushes
journal, May 1995

  • Lyatskaya, Yu. V.; Leermakers, F. A. M.; Fleer, G. J.
  • Macromolecules, Vol. 28, Issue 10
  • DOI: 10.1021/ma00114a009

Ionic Current Rectification in a Conical Nanopore: Influences of Electroosmotic Flow and Type of Salt
journal, February 2017

  • Hsu, Jyh-Ping; Yang, Shu-Tuan; Lin, Chih-Yuan
  • The Journal of Physical Chemistry C, Vol. 121, Issue 8
  • DOI: 10.1021/acs.jpcc.6b09907

Layer-by-Layer Assembly of Polyelectrolytes into Ionic Current Rectifying Solid-State Nanopores: Insights from Theory and Experiment
journal, June 2010

  • Ali, Mubarak; Yameen, Basit; Cervera, Javier
  • Journal of the American Chemical Society, Vol. 132, Issue 24
  • DOI: 10.1021/ja101014y

Voltage-controlled ion transport and selectivity in a conical nanopore functionalized with pH-tunable polyelectrolyte brushes
journal, March 2019

  • Hsu, Jyh-Ping; Yang, Shu-Tuan; Lin, Chih-Yuan
  • Journal of Colloid and Interface Science, Vol. 537
  • DOI: 10.1016/j.jcis.2018.11.046

Electrokinetics in nanochannels
journal, September 2008


Gating of Single Synthetic Nanopores by Proton-Driven DNA Molecular Motors
journal, July 2008

  • Xia, Fan; Guo, Wei; Mao, Youdong
  • Journal of the American Chemical Society, Vol. 130, Issue 26
  • DOI: 10.1021/ja800266p

Electrokinetic energy conversion in nanochannels grafted with pH-responsive polyelectrolyte brushes modelled using augmented strong stretching theory
journal, January 2019

  • Sachar, Harnoor Singh; Sivasankar, Vishal Sankar; Das, Siddhartha
  • Soft Matter, Vol. 15, Issue 29
  • DOI: 10.1039/C9SM00765B

Ionic Current Rectification in a pH-Tunable Polyelectrolyte Brushes Functionalized Conical Nanopore: Effect of Salt Gradient
journal, December 2015


Electrokinetics in nanochannels
journal, September 2008