Crossover of the Power-Law Exponent for Carbon Nanotube Conductivity as a Function of Salinity

The Journal of Physical Chemistry. B
Yuki UematsuDouwe Jan Bonthuis

Abstract

On the basis of the Poisson-Boltzmann equation in cylindrical coordinates, we calculate the conductivity of a single charged nanotube filled with electrolyte. The conductivity as a function of the salt concentration follows a power-law, the exponent of which has been controversially discussed in the literature. We use the co-ion-exclusion approximation and obtain the crossover between different asymptotic power-law behaviors analytically. Numerically solving the full Poisson-Boltzmann equation, we also calculate the complete diagram of exponents as a function of the salt concentration and the pH for tubes with different radii and p Ka values. We apply our theory to recent experimental results on carbon nanotubes using the p Ka as a fit parameter. In good agreement with the experimental data, the theory shows power-law behavior with the exponents 1/3 at high pH and 1/2 at low pH, with a crossover depending on salt concentration, tube radius and p Ka.

References

Oct 1, 1975·The Journal of General Physiology·J E Hall
Apr 12, 2003·Physical Review Letters·Christoph DellagoGerhard Hummer
Aug 25, 2004·Physical Review Letters·Derek SteinCees Dekker
Feb 22, 2007·Nano Letters·Rohit KarnikArun Majumdar
Feb 24, 2007·Journal of Colloid and Interface Science·Thomas W Healy, Douglas W Fuerstenau
Mar 14, 2007·Nano Letters·Frank H J van der HeydenCees Dekker
Sep 11, 2010·Science·Chang Young LeeMichael S Strano
Sep 6, 2011·ACS Nano·Pei PangStuart Lindsay
Apr 26, 2012·Angewandte Chemie·Kevin Roger, Bernard Cabane
Sep 13, 2013·Nature Communications·Wonjoon ChoiMichael S Strano
Sep 26, 2013·The Journal of Physical Chemistry. B·Douwe Jan Bonthuis, Roland R Netz
Jul 3, 2015·Scientific Reports·Laura ZuccaroKannan Balasubramanian
Apr 30, 2016·Physical Review Letters·Eleonora SecchiLydéric Bocquet
Nov 5, 2016·The Journal of Physical Chemistry Letters·Benoit GrosjeanMarie-Laure Bocquet
Dec 15, 2016·Physical Review. E·P M Biesheuvel, M Z Bazant
Jan 20, 2017·Nano Letters·Hasti AmiriRaúl Hernández Sánchez
Aug 10, 2017·Nanoscale·Khadija YazdaVincent Jourdain
Dec 21, 2017·The Journal of Physical Chemistry Letters·Yuki UematsuRoland R Netz

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Citations

Dec 20, 2018·The European Physical Journal. E, Soft Matter·Timothée Mouterde, Lydéric Bocquet
Mar 1, 2021·The Journal of Chemical Physics·Yoav Green
Jul 20, 2021·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Yuki Uematsu
Aug 19, 2020·ACS Nano·Yechan Noh, Narayana R Aluru

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