Donnan equilibrium revisited: Coupling between ion concentrations, osmotic pressure, and donnan potential
<jats:p> This paper discusses the little-known fact that Donnan’s equilibrium criteria established over 100 years ago neglected the coupling between ion concentrations and the osmotic pressure. Such coupling can be treated based on general thermodynamic considerations including the solvent equ...
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| Format: | Article |
| Language: | English |
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World Scientific Pub Co Pte Ltd
2023
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| Online Access: | https://hdl.handle.net/1721.1/150833 |
| _version_ | 1811075479499702272 |
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| author | Chen, Gang |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Chen, Gang |
| author_sort | Chen, Gang |
| collection | MIT |
| description | <jats:p> This paper discusses the little-known fact that Donnan’s equilibrium criteria established over 100 years ago neglected the coupling between ion concentrations and the osmotic pressure. Such coupling can be treated based on general thermodynamic considerations including the solvent equilibrium, leading to a membrane potential that consists of not only the classical Donnan potential term but also an additional term due to the osmotic pressure, and the existence of a membrane potential even when the impermeable species are not charged. This coupled treatment conflicts with the well-established Poisson–Boltzmann equation and Nernst–Planck equation, but is consistent with the extension of these equations including the solvent effects by Freise and Schlogl, enables us to view the electrical double layer equilibrium as Donnan equilibrium. </jats:p> |
| first_indexed | 2024-09-23T10:06:46Z |
| format | Article |
| id | mit-1721.1/150833 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T10:06:46Z |
| publishDate | 2023 |
| publisher | World Scientific Pub Co Pte Ltd |
| record_format | dspace |
| spelling | mit-1721.1/1508332023-06-01T03:40:38Z Donnan equilibrium revisited: Coupling between ion concentrations, osmotic pressure, and donnan potential Chen, Gang Massachusetts Institute of Technology. Department of Mechanical Engineering Polymers and Plastics Mechanics of Materials Atomic and Molecular Physics, and Optics Ceramics and Composites <jats:p> This paper discusses the little-known fact that Donnan’s equilibrium criteria established over 100 years ago neglected the coupling between ion concentrations and the osmotic pressure. Such coupling can be treated based on general thermodynamic considerations including the solvent equilibrium, leading to a membrane potential that consists of not only the classical Donnan potential term but also an additional term due to the osmotic pressure, and the existence of a membrane potential even when the impermeable species are not charged. This coupled treatment conflicts with the well-established Poisson–Boltzmann equation and Nernst–Planck equation, but is consistent with the extension of these equations including the solvent effects by Freise and Schlogl, enables us to view the electrical double layer equilibrium as Donnan equilibrium. </jats:p> 2023-05-31T15:27:47Z 2023-05-31T15:27:47Z 2022-04-18 2023-05-31T15:23:46Z Article http://purl.org/eprint/type/JournalArticle 2424-9130 2424-9149 https://hdl.handle.net/1721.1/150833 Chen, Gang. 2022. "Donnan equilibrium revisited: Coupling between ion concentrations, osmotic pressure, and donnan potential." 07 (02). en 10.1142/s2424913021420145 Creative Commons Attribution-Noncommercial-Share Alike https://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf World Scientific Pub Co Pte Ltd arXiv |
| spellingShingle | Polymers and Plastics Mechanics of Materials Atomic and Molecular Physics, and Optics Ceramics and Composites Chen, Gang Donnan equilibrium revisited: Coupling between ion concentrations, osmotic pressure, and donnan potential |
| title | Donnan equilibrium revisited: Coupling between ion concentrations, osmotic pressure, and donnan potential |
| title_full | Donnan equilibrium revisited: Coupling between ion concentrations, osmotic pressure, and donnan potential |
| title_fullStr | Donnan equilibrium revisited: Coupling between ion concentrations, osmotic pressure, and donnan potential |
| title_full_unstemmed | Donnan equilibrium revisited: Coupling between ion concentrations, osmotic pressure, and donnan potential |
| title_short | Donnan equilibrium revisited: Coupling between ion concentrations, osmotic pressure, and donnan potential |
| title_sort | donnan equilibrium revisited coupling between ion concentrations osmotic pressure and donnan potential |
| topic | Polymers and Plastics Mechanics of Materials Atomic and Molecular Physics, and Optics Ceramics and Composites |
| url | https://hdl.handle.net/1721.1/150833 |
| work_keys_str_mv | AT chengang donnanequilibriumrevisitedcouplingbetweenionconcentrationsosmoticpressureanddonnanpotential |