Abstract
In this work, the results of investigation of the influence of inert binder and reinforcing fabric on structural organization and mechanism of current transfer in homogeneous and heterogeneous ion-exchange membranes are presented by theoretical analysis of parameters of the extended three-wire conductivity model. It was established that analogy in reorganization of the current paths takes place in the course of inclusion of the reinforcing fabric in perfluorinated membranes and addition of polyethylene and nylon 6 to ion-exchange resins during preparation of heterogeneous membranes. In comparison with perfluorinated membranes, the essential difference in conducting properties of heterogeneous membranes is the opportunity for the current transfer via the channel filled with equilibrium solution. The size of this channel decreases with increase in the volume fraction of the inert component inside the membrane.
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Abbreviations
- a :
-
Current fractions passing through the mixed channel
- b :
-
Current fractions passing through the gel channel
- c :
-
Current fractions passing through the solution channel
- C :
-
Solution concentration (mol L−1)
- C iso :
-
Isoconductance concentration (mol L − 1)
- D :
-
Fractions of solution in the mixed channel
- E :
-
Fractions of gel phases in the mixed channel
- EW :
-
Equivalent weight (gdry/mol – SO3 −)
- f :
-
Volume fraction of resin in the ion-exchange column or gel phase in ion-exchange resin and membrane
- K d :
-
Dimensionless conductivity of resin or gel phase of resin and membrane
- K m :
-
Dimensionless conductivity of ion-exchange column, resin or membrane
- m :
-
Density of texture (threads cm−1)
- n :
-
Specific water content (mol H2O/mol-SO3 −)
- Q :
-
Ion-exchange capacity (mol-SO3 −/gsw)
- R :
-
Resistance (Ohm); W, water content (%)
- α :
-
Parameter characterizing the spatial arrangement of membrane phases
- φ :
-
Volume fraction of polyethylene
- \( \overline{\kappa} \) :
-
Resin conductivity (S m−1)
- κ c :
-
Column conductivity (S m−1)
- κ iso :
-
Conductivity of gel phase of membrane (S m−1)
- \( {\overline{\kappa}}_{iso} \) :
-
Conductivity of gel phase of the resin (S m−1)
- κ m :
-
Membrane conductivity (S m−1)
- κ s :
-
Conductivity of electrolyte solution (S m−1)
References
Narebska A, Wόdzki R (1979) Diffusion of electrolytes across inhomogeneous permselective membranes. Die Angewandte Macromolekulare Chemie 80:105–118
Noorjahan A, Choi P (2015) Effect of free volume redistribution on the diffusivity of water and benzene in poly(vinyl alcohol). Chem Engineering Sci 121:258–267
Haubold H-G, Vad T, Jungbluth H, Hiller P (2001) Nano structure of Nafion: a SAXS study. Electrochim Acta 46:1559–1563
Kirkpatrik S (1973) Percolation and conduction. Rev Modern Physics 45:574–588
Saberi AA (2015) Recent advances in percolation theory and its applications. Phys Reports 578:1–32
Berezina NP, Karpenko LV (2000) Percolation effects in ion-exchange materials. Colloid J 62:676–684
Zabolotsky VI, Nikonenko VV (1993) J Membr Sci 79:181–198
Berezina NP, Kononenko NA, Dyomina OA, Gnusin NP (2008) Characterization of ion-exchange membrane materials: properties vs structure. Adv Colloid and Interface Sci 139:3–28
Gnusin NP, Berezina NP, Kononenko NA, Demina OA (2004) Transport-structural parameters to characterize ion exchange membranes. J Membr Sci 243:301–310
Chaabane L, Dammak L, Nikonenko VV, Bulvestre G, Auclair B (2007) The influence of absorbed methanol on the conductivity and on the microstructure of ion-exchange membranes. J Membr Sci 298:126–135
Karpenko-Jereb LV, Berezina NP (2009) Determination of structural, selective, electrokinetic and percolation characteristics of ion-exchange membranes from conductive data. Desalination 245:587–596
Gohil GS, Shahi VK, Rangarajan R (2004) Comparative studies on electrochemical characterization of homogeneous and heterogeneous type of ion-exchange membranes. J Membr Sci 240:211–219
Tuan LX, Buess-Herman C (2007) Study of water content and microheterogeneity of CMS cation exchange membrane. Chem Phys Letters 434:49–55
Berezina NP, Kubaisy AA, Timofeev SV, Karpenko LV (2007) Template synthesis and electrotransport behavior of polymer composites based on perfluorinated membranes incorporating polyaniline. J Solid State Electrochem 11:378–389
Chaabane L, Bulvestre G, Larchet C, Nikonenko V, Deslouis C (2008) Takenouti H J Membr Sci 323:167–175
Gnusin NP, Berezina NP, Demina OA, Dvorkina GA (1997) Electroconductivity of ion-exchange materials in the presence of inert components. Rus J of Electrochem 33:1246–1253
Meleshko VP, Shatalov FYA, Alymova AT (1969) Dependencies of KU-2 cation-exchange and AV-17 anion-exchange resins conductivity on divinylbenzene content. Zh Fizicheskoy Khimii (Rus J Phys Chem) 53:2323 in Russian
Demina ОА, Kononenko NA, Falina IV (2014) New approach to the characterization of ion-exchange membranes using a set of model parameters. Pet Chem 54:515–525
Gnusin NP, Berezina NP, Kononenko NA, Demina OA, Annikova LA (2009a) The three-wire model and Lichtenecker’s equation for calculations of the conductivity of ion-exchange columns. Rus J Phys Chem A 83:107–110
Gnusin NP, Demina OA, Annikova LA (2009b) Method of model parameter calculation of ion-exchange resins. Rus J Electrochem 45:490–495
Berezina NP, Gnusin NP, Demina OA, Annikova LA (2009) Effect of polyaniline on the current passing through structural fragments of ion-exchange sulfonic-cationite resins and membranes. Rus J Electrochem 45:1226–1233
Gnusin NP, Grebeniuk VD, Pevnitskaya MV (1972) Electrochemistry of ionits. Nauka, Novosibirsk in Russian
Gnusin NP, Berezina NP, Beketova VP, Merkulova TA (1977) Conductivity of ion-exchange columns. Electrochimiya (Electrochemistry) 13:1712–1715 in Russian
Demina OA, Berezina NP, Sata T, Demin AV (2002) Transport-structural parameters of domestic and foreign anion-exchange membranes. Rus J Electrochem 38:896–902
Demina OA, Falina IV (2014) Certificate RF of state registration of the computer programs № 2014662877. Calculation of extended three-wire model parameters of ion-exchange materials. Publ. 13.01.2015, Bull. № 1(99) 2015, 20.01.2015. in Russian
Pourcelly G, Oikonomou A, Gavach C, Hurwitz HD (1990) Influence of the water content on the kinetics of counter-ion transport in perfluorosulphonic membranes. J Electroanal Chem 287:43–59
Berezina NP, Kononenko NA (1994) Hydrophilic properties of heterogeneous ion-exchange membranes. Rus J Electrochem 30:329–335
Shel’deshov NV, Chaika VV, Zabolotskii VI (2008) Structural and mathematical models for pressure-dependent electrodiffusion of an electrolyte through heterogeneous ion-exchange membranes: pressure-dependent electrodiffusion of NaOH through the MA-41 anion-exchange membrane. Rus J Electrochem 44:1036–1046
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This work was carried out under financial support by the Ministry of Education and Science of the Russian Federation.
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Falina, I.V., Demina, O.A., Kononenko, N.A. et al. Influence of inert components on the formation of conducting channels in ion-exchange membranes. J Solid State Electrochem 21, 767–775 (2017). https://doi.org/10.1007/s10008-016-3415-0
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DOI: https://doi.org/10.1007/s10008-016-3415-0