Scaling Behavior of Ionic Conductance Dependent on Surface Charge Inside a Single-Digit Nanopore

The ionic conductance in a charged nanopore exhibits a power-law behavior in low salinity—as has been verified in many experiments (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow>&...

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Main Authors: Anping Ji, Lang Zhou, Qiming Xiao, Jigang Liu, Wenqian Huang, Yun Yu, Zhengwei Zhang, Junhao Pi, Chenxi Yang, Haoxuan Chen
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Molecules
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Online Access:https://www.mdpi.com/1420-3049/30/1/191
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author Anping Ji
Lang Zhou
Qiming Xiao
Jigang Liu
Wenqian Huang
Yun Yu
Zhengwei Zhang
Junhao Pi
Chenxi Yang
Haoxuan Chen
author_facet Anping Ji
Lang Zhou
Qiming Xiao
Jigang Liu
Wenqian Huang
Yun Yu
Zhengwei Zhang
Junhao Pi
Chenxi Yang
Haoxuan Chen
author_sort Anping Ji
collection DOAJ
description The ionic conductance in a charged nanopore exhibits a power-law behavior in low salinity—as has been verified in many experiments (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>G</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>∝</mo><msubsup><mrow><mi>c</mi></mrow><mrow><mn>0</mn></mrow><mrow><mi>α</mi></mrow></msubsup></mrow></semantics></math></inline-formula>)—which is governed by surface charges. The surface charge inside a nanopore determines the zeta potential and ion distributions, which have a significant impact on ion transport, especially in a single-digit nanopore with potential leakage. However, precisely measuring surface charge density in a single-digit nanopore remains a challenge. Here, we propose a methodology for exploring the power-law variation of ionic conductance, with potential leakage taken into account. We conducted experiments to measure the ionic current using silicon nitride nanopores and employed a continuous theory to explore the relationship between pore-bound concentration and surface charges. Considering that the influence of potential leakage on concentration follows a power-law relationship, we established a coefficient (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>α</mi></mrow></semantics></math></inline-formula>) to examine the controlling factors of potential leakage and modified the conductance model to obtain the ion mobility inside a nanopore.
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spelling doaj-art-c9aa0d7658a64c20b7cf90c79fdd997d2025-01-10T13:19:09ZengMDPI AGMolecules1420-30492025-01-0130119110.3390/molecules30010191Scaling Behavior of Ionic Conductance Dependent on Surface Charge Inside a Single-Digit NanoporeAnping Ji0Lang Zhou1Qiming Xiao2Jigang Liu3Wenqian Huang4Yun Yu5Zhengwei Zhang6Junhao Pi7Chenxi Yang8Haoxuan Chen9School of Mechanical Engineering, Chongqing Three Gorges University, Chongqing 404100, ChinaSchool of Mechanical Engineering, Chongqing Three Gorges University, Chongqing 404100, ChinaSchool of Mechanical Engineering, Chongqing Three Gorges University, Chongqing 404100, ChinaSchool of Mechanical Engineering, Chongqing Three Gorges University, Chongqing 404100, ChinaSchool of Mechanical Engineering, Chongqing Three Gorges University, Chongqing 404100, ChinaSchool of Mechanical Engineering, Chongqing Three Gorges University, Chongqing 404100, ChinaSchool of Mechanical Engineering, Chongqing Three Gorges University, Chongqing 404100, ChinaSchool of Mechanical Engineering, Chongqing Three Gorges University, Chongqing 404100, ChinaSchool of Mechanical Engineering, Chongqing Three Gorges University, Chongqing 404100, ChinaSchool of Mechanical Engineering, Chongqing Three Gorges University, Chongqing 404100, ChinaThe ionic conductance in a charged nanopore exhibits a power-law behavior in low salinity—as has been verified in many experiments (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>G</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>∝</mo><msubsup><mrow><mi>c</mi></mrow><mrow><mn>0</mn></mrow><mrow><mi>α</mi></mrow></msubsup></mrow></semantics></math></inline-formula>)—which is governed by surface charges. The surface charge inside a nanopore determines the zeta potential and ion distributions, which have a significant impact on ion transport, especially in a single-digit nanopore with potential leakage. However, precisely measuring surface charge density in a single-digit nanopore remains a challenge. Here, we propose a methodology for exploring the power-law variation of ionic conductance, with potential leakage taken into account. We conducted experiments to measure the ionic current using silicon nitride nanopores and employed a continuous theory to explore the relationship between pore-bound concentration and surface charges. Considering that the influence of potential leakage on concentration follows a power-law relationship, we established a coefficient (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>α</mi></mrow></semantics></math></inline-formula>) to examine the controlling factors of potential leakage and modified the conductance model to obtain the ion mobility inside a nanopore.https://www.mdpi.com/1420-3049/30/1/191ionic conductancepotential leakageion transportsurface charge
spellingShingle Anping Ji
Lang Zhou
Qiming Xiao
Jigang Liu
Wenqian Huang
Yun Yu
Zhengwei Zhang
Junhao Pi
Chenxi Yang
Haoxuan Chen
Scaling Behavior of Ionic Conductance Dependent on Surface Charge Inside a Single-Digit Nanopore
Molecules
ionic conductance
potential leakage
ion transport
surface charge
title Scaling Behavior of Ionic Conductance Dependent on Surface Charge Inside a Single-Digit Nanopore
title_full Scaling Behavior of Ionic Conductance Dependent on Surface Charge Inside a Single-Digit Nanopore
title_fullStr Scaling Behavior of Ionic Conductance Dependent on Surface Charge Inside a Single-Digit Nanopore
title_full_unstemmed Scaling Behavior of Ionic Conductance Dependent on Surface Charge Inside a Single-Digit Nanopore
title_short Scaling Behavior of Ionic Conductance Dependent on Surface Charge Inside a Single-Digit Nanopore
title_sort scaling behavior of ionic conductance dependent on surface charge inside a single digit nanopore
topic ionic conductance
potential leakage
ion transport
surface charge
url https://www.mdpi.com/1420-3049/30/1/191
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