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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2025-01-01
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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 |
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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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