Analysis of ionic conductance of carbon nanotubes
We use space-charge (SC) theory (also called the capillary pore model) to describe the ionic conductance, G, of charged carbon nanotubes (CNTs). Based on the reversible adsorption of hydroxyl ions to CNT pore walls, we use a Langmuir isotherm for surface ionization and make calculations as a functio...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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American Physical Society
2017
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| Online Access: | http://hdl.handle.net/1721.1/109172 |
| _version_ | 1826214242618966016 |
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| author | Biesheuvel, P. M. Bazant, Martin Z |
| author2 | Massachusetts Institute of Technology. Department of Chemical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Chemical Engineering Biesheuvel, P. M. Bazant, Martin Z |
| author_sort | Biesheuvel, P. M. |
| collection | MIT |
| description | We use space-charge (SC) theory (also called the capillary pore model) to describe the ionic conductance, G, of charged carbon nanotubes (CNTs). Based on the reversible adsorption of hydroxyl ions to CNT pore walls, we use a Langmuir isotherm for surface ionization and make calculations as a function of pore size, salt concentration c, and pH. Using realistic values for surface site density and pK, SC theory well describes published experimental data on the conductance of CNTs. At extremely low salt concentration, when the electric potential becomes uniform across the pore, and surface ionization is low, we derive the scaling G∝sqrt[c], while for realistic salt concentrations, SC theory does not lead to a simple power law for G(c). |
| first_indexed | 2024-09-23T16:02:04Z |
| format | Article |
| id | mit-1721.1/109172 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T16:02:04Z |
| publishDate | 2017 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1091722022-10-02T05:52:42Z Analysis of ionic conductance of carbon nanotubes Biesheuvel, P. M. Bazant, Martin Z Massachusetts Institute of Technology. Department of Chemical Engineering Bazant, Martin Z We use space-charge (SC) theory (also called the capillary pore model) to describe the ionic conductance, G, of charged carbon nanotubes (CNTs). Based on the reversible adsorption of hydroxyl ions to CNT pore walls, we use a Langmuir isotherm for surface ionization and make calculations as a function of pore size, salt concentration c, and pH. Using realistic values for surface site density and pK, SC theory well describes published experimental data on the conductance of CNTs. At extremely low salt concentration, when the electric potential becomes uniform across the pore, and surface ionization is low, we derive the scaling G∝sqrt[c], while for realistic salt concentrations, SC theory does not lead to a simple power law for G(c). 2017-05-18T18:17:13Z 2017-05-18T18:17:13Z 2016-11 2016-08 2016-11-02T14:18:12Z Article http://purl.org/eprint/type/JournalArticle 2470-0045 2470-0053 http://hdl.handle.net/1721.1/109172 Biesheuvel, P. M. and Bazant, M. Z. "Analysis of ionic conductance of carbon nanotubes." Physical Review E 94, no. 050601(R) (2016 November): 1-4 ©2016 American Physical Society en http://dx.doi.org/10.1103/PhysRevE.94.050601 Physical Review E Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Biesheuvel, P. M. Bazant, Martin Z Analysis of ionic conductance of carbon nanotubes |
| title | Analysis of ionic conductance of carbon nanotubes |
| title_full | Analysis of ionic conductance of carbon nanotubes |
| title_fullStr | Analysis of ionic conductance of carbon nanotubes |
| title_full_unstemmed | Analysis of ionic conductance of carbon nanotubes |
| title_short | Analysis of ionic conductance of carbon nanotubes |
| title_sort | analysis of ionic conductance of carbon nanotubes |
| url | http://hdl.handle.net/1721.1/109172 |
| work_keys_str_mv | AT biesheuvelpm analysisofionicconductanceofcarbonnanotubes AT bazantmartinz analysisofionicconductanceofcarbonnanotubes |