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Apel P, Koter S, Yaroshchuk A. Time-resolved pressure-induced electric potential in nanoporous membranes: Measurement and mechanistic interpretation. J Memb Sci 2022. [DOI: 10.1016/j.memsci.2022.120556] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Apel P, Bondarenko M, Yamauchi Y, Yaroshchuk A. Osmotic Pressure and Diffusion of Ions in Charged Nanopores. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2021; 37:14089-14095. [PMID: 34821504 PMCID: PMC8656166 DOI: 10.1021/acs.langmuir.1c02267] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 08/25/2021] [Revised: 11/16/2021] [Indexed: 06/13/2023]
Abstract
The transport of ions and water in nanopores is of interest for a number of natural and technological processes. Due to their practically identical long straight cylindrical pores, nanoporous track-etched membranes are suitable materials for investigation of its mechanisms. This communication reports on simultaneous measurements of osmotic pressure and salt diffusion with a 24 nm pore track-etched membrane. Due to the use of dilute electrolyte solutions (1-4 mM KCl and LiCl), this pore size was commensurate with the Debye screening length. Advanced interpretation of experimental results using a full version of the space-charge model has revealed that osmotic pressure and salt diffusion can be quantitatively correlated with electrostatic interactions of ions with charged nanopore walls. The surface-charge density is shown to increase with electrolyte concentration in agreement with the mechanism of deprotonation of weakly acidic surface groups. Moreover, a lack of significant surface-charge dependence on the kind of cation (K+ or Li+) demonstrates that binding of salt counterions does not play a major role in this system.
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Affiliation(s)
- P. Apel
- Joint
Institute for Nuclear Research, Joliot-Curie strasse 6, 141980 Dubna, Russian Federation
| | - M. Bondarenko
- F.
D. Ovcharenko Institute of Bio-Colloid Chemistry, National Academy of Sciences of Ukraine, Vernadskiy blvd. 42, 03142 Kyiv, Ukraine
| | - Yu. Yamauchi
- Joint
Institute for Nuclear Research, Joliot-Curie strasse 6, 141980 Dubna, Russian Federation
| | - A. Yaroshchuk
- ICREA, pg. L. Companys
23, 08010 Barcelona, Spain
- Department
of Chemical Engineering, Universitat Politècnica
de Catalunya, av. Diagonal 647, 08028 Barcelona, Spain
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Chaurasia AK, Shankar R, Mondal P. Effects of nickle, nickle-cobalt and nickle-cobalt-phosphorus nanocatalysts for enhancing biohydrogen production in microbial electrolysis cells using paper industry wastewater. JOURNAL OF ENVIRONMENTAL MANAGEMENT 2021; 298:113542. [PMID: 34426219 DOI: 10.1016/j.jenvman.2021.113542] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/12/2021] [Revised: 07/12/2021] [Accepted: 08/10/2021] [Indexed: 06/13/2023]
Abstract
Paper industries are water-intensive industries that produce large amount of wastewater containing dyes, toxicity and high nutrient content. These industries require sustainable technology for their waste disposal and MEC could be one of them. However, effective MEC operation at neutral pH and ambient temperature requires economical and efficient cathodes that are capable to treat indusial wastewater along with recovery of energy/biohydrogen. Co-deposits of Nickel, Nickel-Cobalt and Nickel-Cobalt-Phosphorous on the surface of SS and Cu base metals distinctly were used as cathodes in MEC for the concurrent treatment of real paper industry wastewater and biohydrogen production. MECs were utilized in batch mode at neutral pH, applied voltage of 0.6 V and 30 ± 2 °C temperature with paper industry wastewater and activated sludge as microbial sources. The fabricated Nickel-Cobalt-Phosphorous gives the higher hydrogen production rate of 0.16 ± 0.002 m3(H2) m-3d-1 and 0.14 ± 0.002 m3(H2) m -3d -1 respectively, with ~33-42 % treatment efficiency for a 500 ml wastewater in 7-day batch cycle in both the cases; while it is lowest in the case of the control cathodes (SS1 (0.07 ± 0.002 m3(H2) m-3d-1) & Cu1 (0.06 ± 0.004 m3(H2) m-3d-1)). It was also found that fabricated cathodes have the capability to treat industrial wastewater at ambient conditions efficiently with higher energy recovery. Prepared cathodes show enhanced hydrogen production and treatment efficiency as well as are competitive to some reported literature.
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Affiliation(s)
- Amit Kumar Chaurasia
- Department of Chemical Engineering, Indian Institute of Technology Roorkee, Roorkee, 247667, Uttarakhand, India
| | - Ravi Shankar
- Department of Chemical Engineering, Madan Mohan Malaviya University of Technology, Gorakhpur, Uttar Pradesh, 273010, UP, India
| | - Prasenjit Mondal
- Department of Chemical Engineering, Indian Institute of Technology Roorkee, Roorkee, 247667, Uttarakhand, India.
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Zhang Y, Wei S, Yong M, Liu W, Liu S. YxSi1-xO2-SO3H self-assembled membrane formed on phosphorylated YxSi1-xO2/Al2O3 for oily seawater partial desalination and deep cleaning. J Memb Sci 2018. [DOI: 10.1016/j.memsci.2018.04.010] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Ryzhkov II, Lebedev DV, Solodovnichenko VS, Minakov AV, Simunin MM. On the origin of membrane potential in membranes with polarizable nanopores. J Memb Sci 2018. [DOI: 10.1016/j.memsci.2017.11.073] [Citation(s) in RCA: 22] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Ryzhkov II, Lebedev DV, Solodovnichenko VS, Shiverskiy AV, Simunin MM. Induced-Charge Enhancement of the Diffusion Potential in Membranes with Polarizable Nanopores. PHYSICAL REVIEW LETTERS 2017; 119:226001. [PMID: 29286816 DOI: 10.1103/physrevlett.119.226001] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/10/2017] [Indexed: 06/07/2023]
Abstract
When a charged membrane separates two salt solutions of different concentrations, a potential difference appears due to interfacial Donnan equilibrium and the diffusion junction. Here, we report a new mechanism for the generation of a membrane potential in polarizable conductive membranes via an induced surface charge. It results from an electric field generated by the diffusion of ions with different mobilities. For uncharged membranes, this effect strongly enhances the diffusion potential and makes it highly sensitive to the ion mobilities ratio, electrolyte concentration, and pore size. Theoretical predictions on the basis of the space-charge model extended to polarizable nanopores fully agree with experimental measurements in KCl and NaCl aqueous solutions.
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Affiliation(s)
- I I Ryzhkov
- Institute of Computational Modelling SB RAS, Federal Research Center KSC SB RAS, Akademgorodok 50, 660036 Krasnoyarsk, Russia
- Siberian Federal University, Svobodny 79, 660041 Krasnoyarsk, Russia
| | - D V Lebedev
- Institute of Computational Modelling SB RAS, Federal Research Center KSC SB RAS, Akademgorodok 50, 660036 Krasnoyarsk, Russia
| | - V S Solodovnichenko
- Institute of Computational Modelling SB RAS, Federal Research Center KSC SB RAS, Akademgorodok 50, 660036 Krasnoyarsk, Russia
| | - A V Shiverskiy
- Institute of Computational Modelling SB RAS, Federal Research Center KSC SB RAS, Akademgorodok 50, 660036 Krasnoyarsk, Russia
| | - M M Simunin
- Siberian Federal University, Svobodny 79, 660041 Krasnoyarsk, Russia
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Fridman-Bishop N, Freger V. What makes aromatic polyamide membranes superior: New insights into ion transport and membrane structure. J Memb Sci 2017. [DOI: 10.1016/j.memsci.2017.06.035] [Citation(s) in RCA: 31] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Sobolev VD, Filippov AN, Vorob’eva TA, Sergeeva IP. Determination of the surface potential for hollow-fiber membranes by the streaming-potential method. COLLOID JOURNAL 2017. [DOI: 10.1134/s1061933x17050155] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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Sedkaoui Y, Szymczyk A, Lounici H, Arous O. A new lateral method for characterizing the electrical conductivity of ion-exchange membranes. J Memb Sci 2016. [DOI: 10.1016/j.memsci.2016.02.003] [Citation(s) in RCA: 37] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
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Montalvillo M, Silva V, Palacio L, Calvo JI, Carmona FJ, Hernández A, Prádanos P. Charge and dielectric characterization of nanofiltration membranes by impedance spectroscopy. J Memb Sci 2014. [DOI: 10.1016/j.memsci.2013.12.017] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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Wang X, Fang Y, Tu C, Van der Bruggen B. Modelling of the separation performance and electrokinetic properties of nanofiltration membranes. INT REV PHYS CHEM 2012. [DOI: 10.1080/0144235x.2012.659049] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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Silva V, Martín Á, Martínez F, Malfeito J, Prádanos P, Palacio L, Hernández A. Electrical characterization of NF membranes. A modified model with charge variation along the pores. Chem Eng Sci 2011. [DOI: 10.1016/j.ces.2011.03.025] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Tu CH, Wang HL, Wang XL. Study on transmembrane electrical potential of nanofiltration membranes in KCl and MgCl2 solutions. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2010; 26:17656-17664. [PMID: 20942428 DOI: 10.1021/la102363y] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/30/2023]
Abstract
The transmembrane electrical potential (TMEP) across two commercial nanofiltration membranes (ESNA1-K and Filmtec NF) was investigated in KCl and MgCl(2) solutions. TMEP was measured in a wide range of salt concentrations (1-60 mol·m(-3)) and pH values (3-10) at the feed side, with pressure differences in the range of 0.1-0.6 MPa. A two-layer model based on the Nernst-Planck equation was proposed to describe the relation between TMEP and permeation flux. From the pattern of these curves, the information of membrane structure could be deduced. In the concentration range investigated, TMEP in KCl solutions was always positive and decreased as the salt concentration increased. The contribution of the membrane potential to the TMEP decreased. TMEP was greatly affected by the feed pH. When the feed pH increased, the mobility of cations increased, which indicated that the charges of NF membranes were more negative. The zero point of TMEP and the minimum of rejection in KCl solution were consistent and occurred at the isoelectric point of NF membranes, while in MgCl(2) solution the zero point of TMEP located at a higher pH value. The TMEP in MgCl(2) solutions changed its sign at a given concentration, and by calculating the transport number the location of the minimum rejection could be determined.
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Affiliation(s)
- Cong-Hui Tu
- State Key Laboratory of Chemical Engineering, Department of Chemical Engineering, Tsinghua University, Beijing 100084, PR China
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Yaroshchuk A, Boiko Y, Makovetskiy A. Ion-rejection, electrokinetic and electrochemical properties of a nanoporous track-etched membrane and their interpretation by means of space charge model. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2009; 25:9605-14. [PMID: 19585984 DOI: 10.1021/la900737q] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/15/2023]
Abstract
Due to their straight cylindrical pores, nanoporous track-etched membranes are suitable materials for studies of the fundamentals of nanofluidics. In contrast to single nanochannels, the nano/micro interface, in this case, can be quantitatively considered within the scope of macroscopically 1D models. The pressure-induced changes in the concentration of dilute KCl solutions (salt rejection phenomenon) have been studied experimentally with a commercially available nanoporous track-etched membrane of poly (ethylene terephthalate) (pore diameter ca. 21 nm). Besides that, we have also studied the concomitant stationary transmembrane electrical phenomenon (filtration potential) and carried out time-resolved measurements of the electrical response to a rapid pressure switch-off (within 5-10 ms). The latter has enabled us to split the filtration potential into the streaming potential and membrane potential components. In this way, we could also confirm that the observed nonlinearity of filtration potential, as a function of the transmembrane volume flow, was primarily caused by the salt rejection. The results of experimental measurements have been interpreted by means of a space charge model with the surface charge density being a single fitting parameter (the pore size was estimated from the membrane hydraulic permeability). By using the surface charge density fitted to the salt rejection data, the results of electrical measurements could be reproduced theoretically with a typical accuracy of 10% or better. Taking into account the simplifications made in the modeling, this accuracy appears to be good and confirms the quantitative applicability of the basic concept of space charge model to the description of transport properties of dilute electrolyte solutions in nanochannels of ca. 20 nm.
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Affiliation(s)
- Andriy Yaroshchuk
- ICREA and Department of Chemical Engineering, Polytechnic University of Catalonia, Carrer de Jordi Girona, 08034, Barcelona, Spain.
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Fievet P, Sbaï M, Szymczyk A. Analysis of the pressure-induced potential arising across selective multilayer membranes. J Memb Sci 2005. [DOI: 10.1016/j.memsci.2005.04.011] [Citation(s) in RCA: 33] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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Heister K, Kleingeld PJ, Gustav Loch JP. Quantifying the effect of membrane potential in chemical osmosis across bentonite membranes by virtual short-circuiting. J Colloid Interface Sci 2005; 286:294-302. [PMID: 15848431 DOI: 10.1016/j.jcis.2005.01.044] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/29/2004] [Accepted: 01/19/2005] [Indexed: 11/22/2022]
Abstract
Clay liners are charged membranes and show semipermeable behavior regarding the flow of fluids, electrical charge, chemicals and heat. At zero gradients of temperature and hydrostatic pressure, a salt concentration gradient across a compacted clay sample induces not only an osmotic flux of water and diffusion of salt across the membrane but also an electrical potential gradient, defined as membrane potential. Laboratory experiments were performed on commercially available bentonite samples in a rigid-wall permeameter connected to two electrically insulated fluid reservoirs filled with NaCl solutions of different concentrations and equipped with Ag/AgCl electrodes to measure the electrical potential gradient. The effect of membrane potential could be cancelled out by short-circuiting the clay with the so-called virtual shortcut. The potential gradient across the sample is brought to zero with a negative feedback circuit. It was observed that the water flux and the diffusion of Cl- were hindered by the occurrence of a membrane potential, indicating that an electroosmotic counterflow is induced. Flow parameters were calculated with modified coupled flow equations of irreversible thermodynamics. They were in excellent agreement with values reported in the literature. Comparing the method of short-circuiting with a study elsewhere, where the electrodes were physically short-circuited, it was shown that the virtual shortcut is more appropriate because physically short-circuiting induces additional effects that are attributed to the fluxes.
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Affiliation(s)
- Katja Heister
- Department of Earth Sciences-Geochemistry, Faculty of Geosciences, Utrecht University, P.O. Box 80021, 3508 TA Utrecht, The Netherlands.
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Szymczyk A, Sbaï M, Fievet P. Analysis of the pressure-induced potential arising through composite membranes with selective surface layers. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2005; 21:1818-1826. [PMID: 15723477 DOI: 10.1021/la048399i] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/24/2023]
Abstract
When a pressure gradient is applied through a charged selective membrane, the transmembrane electrical potential difference, called the filtration potential, results from both the applied pressure and induced concentration difference across the membrane. In this work we investigate the electrokinetic properties relative to both active and support layers of a composite ceramic membrane close to the nanofiltration range. First, the volume charge density of the active layer is obtained by fitting a transport model to experimental rejection rates (which are controlled by the active layer only). Next, the value of the volume charge density is used to compute the theoretical filtration potential through the active layer. For sufficiently high permeate volume fluxes, the concentration difference across the active layer becomes constant, which allows assessing the membrane potential of the active layer. Experimental measurements of the overall filtration potential arising through the whole membrane are performed. The contribution of the support layer to this overall filtration potential is put in evidence. That implies that the membrane potential of the active layer cannot be deduced directly from the overall filtration potential measurements. Finally, the contribution of the support layer is singled out by subtracting the theoretical filtration potential of the active layer from the experimental filtration potential measured across the whole membrane (i.e., support + active layers). The amphoteric behavior of both layers is put in evidence, which is confirmed by electrophoretic measurements carried out with the powdered support layer and by recently reported tangential streaming potential measurements.
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Affiliation(s)
- Anthony Szymczyk
- Laboratoire de Chimie des Matériaux et Interfaces, Université de Franche-Comté, 25030 Besançon Cedex, France.
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Nagarale R, Gohil G, Shahi VK, Rangarajan R. Preparation and electrochemical characterizations of cation-exchange membranes with different functional groups. Colloids Surf A Physicochem Eng Asp 2004. [DOI: 10.1016/j.colsurfa.2004.09.028] [Citation(s) in RCA: 97] [Impact Index Per Article: 4.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Nagarale R, Shahi VK, Thampy S, Rangarajan R. Studies on electrochemical characterization of polycarbonate and polysulfone based heterogeneous cation-exchange membranes. REACT FUNCT POLYM 2004. [DOI: 10.1016/j.reactfunctpolym.2004.04.007] [Citation(s) in RCA: 81] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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Shahi VK, Trivedi GS, Thampy SK, Rangarajan R. Studies on the electrochemical and permeation characteristics of asymmetric charged porous membranes. J Colloid Interface Sci 2003; 262:566-73. [PMID: 16256639 DOI: 10.1016/s0021-9797(03)00131-0] [Citation(s) in RCA: 95] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/11/2002] [Accepted: 01/31/2003] [Indexed: 11/17/2022]
Abstract
Asymmetric charged porous membranes were prepared by imbedding 10% (W/W) ion-exchange resin in cellulose acetate binder. Membrane potential and conductance measurements have been carried out in sodium chloride solutions at different concentrations to investigate the relationship between concentration of fixed charges and electrochemical properties of developed nonselective cation- and anion-exchange membranes. Counterion transport number and permselectivity of these membranes were found to vary due to the presence of ion-exchange resin. The hydrodynamic and electroosmotic permeability of sodium chloride solutions has been studied in order to compute equivalent pore radius. For cation- and anion-exchange membranes good agreement was observed between pore radius values estimated from hydrodynamic and electroosmotic permeability coefficient separately, while for nonselective membranes no correlation was found. Membrane conductance data, along with values of concentration of fixed charges, were used for the estimation of the tortuosity factor, salt permeability coefficient, and frictional coefficient between solute and membrane matrix employing an interpretation by nonequilibrium thermodynamic principles based on frictional forces. Moreover, surface morphological studies of these membranes also have been carried out and the membranes were found to be reasonably homogeneous.
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Affiliation(s)
- Vinod K Shahi
- Reactive Polymers Discipline, Central Salt and Marine Chemicals Research Institute, Bhavnagar 364 002, India.
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Fievet P, Szymczyk A. Caractérisation des propriétés électriques des parois de pores d’une membrane. CR CHIM 2002. [DOI: 10.1016/s1631-0748(02)01413-3] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Fievet P, Szymczyk A, Labbez C, Aoubiza B, Simon C, Foissy A, Pagetti J. Determining the Zeta Potential of Porous Membranes Using Electrolyte Conductivity inside Pores. J Colloid Interface Sci 2001; 235:383-390. [PMID: 11254318 DOI: 10.1006/jcis.2000.7331] [Citation(s) in RCA: 36] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
Abstract
The zeta potential is an important and reliable indicator of the surface charge of membranes, and knowledge of it is essential for the design and operation of membrane processes. The zeta potential cannot be measured directly, but must be deduced from experiments by means of a model. The possibility of determining the zeta potential of porous membranes from measurements of the electrolyte conductivity inside pores (lambda(pore)) is investigated in the case of a ceramic microfiltration membrane. To this end, experimental measurements of the electrical resistance in pores are performed with the membrane filled with KCl solutions of various pHs and concentrations. lambda(pore) is deduced from these experiments. The farther the pH is from the isoelectric point and/or the lower the salt concentration is, the higher the ratio of the electrolyte conductivity inside pores to the bulk conductivity is, due to a more important contribution of the surface conduction. Zeta potentials are calculated from lambda(pore) values by means of a space charge model and compared to those calculated from streaming potential measurements. It is found that the isoelectric points are very close and that zeta potential values for both methods are in quite good agreement. The differences observed in zeta potentials could be due to the fact that the space charge model does not consider the surface conductivity in the inner part of the double layer. Measurements of the electrolyte conductivity within the membrane pores are proved to be a well-adapted procedure for the determination of the zeta potential in situations where the contribution of the surface conduction is significant, i.e., for small and charged pores. Copyright 2001 Academic Press.
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Affiliation(s)
- P. Fievet
- Laboratoire de Chimie des Matériaux et Interfaces, 16 route de Gray, Besançon cedex, 25030, France
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Labbez C, Fievet P, Szymczyk A, Aoubiza B, Vidonne A, Pagetti J. Theoretical study of the electrokinetic and electrochemical behaviors of two-layer composite membranes. J Memb Sci 2001. [DOI: 10.1016/s0376-7388(00)00611-6] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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