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Electrical Tortuosity in Nanostructured Mesoporous Silica Powder and Nanocomposite Membranes

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Abstract

Polymer silica nanocomposites are advanced materials with unique properties combining the advantages of an inorganic nanofiller and the organic polymer matrix, which attracted considerable interest for applications in energy conversion and storage, drug delivery, environmental remediation, and many more. However, the dispersion of the nanofiller in the polymer matrix leads to complexified nanocomposite materials whose barrier properties are altered resulting in a tortuous pathway for the transport of current, matter, and velocity. The tortuosity of these nanocomposite materials, which depends on their porosity organization, is a parameter usually challenging to quantify accurately. Therefore, the objective of this study was to develop a method to quantify the electrical tortuosity and to develop a theoretical model to accurately predict electrical tortuosity in these in-house prepared silica powder and nanocomposite membrane materials at different porosity ranges. The SBA-15 silica powder and nanocomposite membranes’ conductivity was measured with the help of impedance spectroscopy in a 1 M sodium chloride electrolyte solution from which the electrical tortuosity is quantified. The calculated tortuosity of SBA-15 silica powder was found to be well correlated to the entire range of its porosity. The plots of the tortuosity versus porosity from the Maxwell and the modified Maxwell models showed a well-fitted curve to the entire range of porosity. These theoretical models will help to give a perfect prediction of the electrical tortuosity of materials from porosity measurements, which would be a vital technique to characterize materials used in electrochemical devices and battery technology.

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References

  • Anovitz, L.M., Cole, D.R.: Characterization and analysis of porosity and pore structures. Rev. Mineral. Geochem. 80, 61–164 (2015)

    Article  Google Scholar 

  • Augustine, R., Dan, P., Sosnik, A., Kalarikkal, N., Tran, N., Vincent, B., Thomas, S., Menu, P., Rouxel, D.: Electrospun poly(vinylidene fluoride-trifluoroethylene)/zinc oxide nanocomposite tissue engineering scaffolds with enhanced cell adhesion and blood vessel formation. Nano Res. 10, 3358–3376 (2017)

    Article  CAS  Google Scholar 

  • Barrande, M., Bouchet, R., Denoyel, R.: Tortuosity of porous particles. Anal. Chem. 79, 9115–9121 (2007)

    Article  CAS  Google Scholar 

  • Bouchet, R., Devaux, D., Wert, V., Denoyel, R.: Separation of bulk, surface and topological contributions to the conductivity of suspensions of porous particles. J. Phys. Chem. C 116, 5090–5096 (2012)

    Article  CAS  Google Scholar 

  • Carman, P.C.: Flow of Gases Through Porous Media, pp. 1–187. Butterworths Scientific Publications, London (1956)

    Google Scholar 

  • Clennell, M.B.: Tortuosity: a guide through the maze, developments in petrophysics. Geol. Soc. Spec. Publ. 122, 299–344 (1997)

    Article  Google Scholar 

  • Forouzan, M.M., Wray, M., Robertson, L., Wheeler, D.R.: Tortuosity of composite porous electrodes with various conductive additive in an alkaline system. J. Electrochem. Soc.electrochem. Soc. 164, A3117–A3130 (2017)

    Article  CAS  Google Scholar 

  • Ghanbarian, B., Hunt, A.G., Ewing, R.P., Sahimi, M.: Tortuosity in porous media: a critical review. Soil Sci. Soc. Am. J. 77, 1461–1477 (2013)

    Article  CAS  Google Scholar 

  • Hantel, M.M., Armstrong, M.J., DaRosa, F., L’Abee, R.: Characterization of tortuosity in polyetherimide membranes based on Gurley and electrochemical impedance spectroscopy. J. Electrochem. Soc.electrochem. Soc. 164, 334–339 (2017)

    Article  Google Scholar 

  • Hojo, K., Takashi, T., Oshima, K., Haji, T., Terayama, Y., Matsumoto, H., Satokawa, S.: Enhancement of ionic conductivity of aqueous solution by silanol groups over zeolite surface. Microporous Mesoporous Mater. 312, 110743 (2021)

    Article  CAS  Google Scholar 

  • Hosseini, S.M., Hamidi, A., Moghadassi, A., Madaeni, S.S.: Electrochemical characterization of mixed matrix heterogeneous cation exchange membranes modified by simultaneous using ilmenite-co-iron oxide nanoparticles. Korean J. Chem. Eng. 32, 429–435 (2015)

    Article  CAS  Google Scholar 

  • Ji, X.: Mesoporous silica-reinforced polymer nanocomposites. Chem. Mater. 15, 3656–3662 (2003)

    Article  CAS  Google Scholar 

  • Klobes, P., Meyer, K.: Porosity and specific surface area measurnments for solid materials. NIST Recommended Practical Guide (2006)

  • Ma, J., Li, K., Li, Z., Qiu, Y., Si, W., Ge, Y., Sha, J., Liu, L., **e, X., Yi, H., Ni, Z., Li, D., Chen, Y.: Drastically reduced ion mobility in a nanopore due to enhanced pairing and collision between dehydrated ions. J. Am. Chem. Soc. 141(10), 4264–4272 (2019)

    Article  CAS  Google Scholar 

  • Maxwell, J.C.: A Treatise on Electricity and Magnetism, vol. 1, pp. 435–441. Clarendon Press, Oxford (1904)

    Google Scholar 

  • Pisani, L.: Simple expression for the tortuosity of porous media. Transp. Porous Media 88, 193–203 (2011)

    Article  CAS  Google Scholar 

  • Porrang, S., Davaran, S., Rahemi, N., Allahyari, S., Mostafavi, E.: How advancing are mesoporous silica nanoparticles? A comprehensive review of the literature. Int. J. Nanomed.nanomed. 17, 1803–1827 (2022)

    Article  Google Scholar 

  • San Wu, Y., van Vliet, L.J., Frijlink, H.W., van der VoortMaarschalk, K.: The determination of relative path length as a measure for tortuosity in compacts using image analysis. Eur. J. Pharm. Sci. 28, 433–440 (2006)

    Article  Google Scholar 

  • Sanchez, K.A., et al.: Development, fabrication, and characterization of composite polycaprolactone membranes reinforced with TiO2 nanoparticles. J. MDPI Membr. 11, 1955 (2019)

    Google Scholar 

  • Shahi, V.K., Murugesh, A.P., Makwana, B.S., Thampy, S.K., Rangarajan, R.: Comparative investigations on electrical conductance of ion-exchange membranes. Indian J. Chem. 39A, 1264–1269 (2000)

    CAS  Google Scholar 

  • Throrat, I.V., Stephanson, D.E., Zacharias, N.A., Zaghib, K., Harb, J.N., Wheeler, D.R.: Quantifying tortuosity in porous Li-ion battery materials. J. Power. Sources 188, 592–600 (2009)

    Article  Google Scholar 

  • Tjaden, B., Cooper, S.J., Brett, D.J.L., Kramer, D., Shearing, P.R.: On the origin and application of the Bruggeman correlation for analyzing transport phenomena in electrochemical systems. Curr. Opin. Chem. Eng.. Opin. Chem. Eng. 12, 44–51 (2016)

    Article  Google Scholar 

  • Tjaden, B., Brett, D.J.L., Shearing, P.R.: Tortuosity in electrochemical devices, a review of calculation approaches. Int. Mater. Rev. 63, 47–67 (2018)

    Article  CAS  Google Scholar 

  • Weissberg, H.L.: Effective diffusion coefficient in porous media. J. Appl. Phys. 34, 2636–2639 (1963)

    Article  CAS  Google Scholar 

  • Zecca, M., Vogt, S.J., Connolly, P.R.J., May, E.F., Johns, M.L.: NMR measurements of tortuosity in partially saturated porous media. Transp. Porous Media 125, 271–288 (2018)

    Article  Google Scholar 

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Acknowledgements

The author would like to acknowledge the European Commission for the sponsorship via the Erasmus scholarship program.

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Correspondence to Dessie Belay Emrie.

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Emrie, D.B. Electrical Tortuosity in Nanostructured Mesoporous Silica Powder and Nanocomposite Membranes. Transp Porous Med 151, 1811–1824 (2024). https://doi.org/10.1007/s11242-024-02095-8

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