Journal of Solution Chemistry

, Volume 44, Issue 5, pp 912–933 | Cite as

Extrapolation Methods for AC Impedance Measurements Made with a Concentric Cylinder Cell on Solutions of High Ionic Strength

Article
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Abstract

Different extrapolation methods of AC impedance spectra measured in a conductance cell with concentric cylinder geometry have been evaluated at room temperature. This was undertaken because previous high temperature studies showed that the extrapolation method was one of the largest contributors to the uncertainty for molar conductivities at high concentrations: these high concentrations are needed to determine ion-pairing formation constants under hydrothermal conditions. This was done by measuring the impedance spectrum of sodium chloride solutions with ionic strengths up to 0.49 mol·kg−1 and comparing different extrapolation methods to accurate molar conductivity results reported by other authors using cells designed for concentrated solutions at ambient conditions. The most accurate extrapolation method at high concentrations was found to be the method based on the expression \( Z_{\text{Re}} \left( \omega \right) = R_{s} + b_{0} \cdot \omega^{{ - b_{1} }} \), where Z Re(ω) is the real component of the angular frequency-dependent impedance, and R s, b 0 and b 1 are fitting parameters.

Keywords

AC impedance measurements Pure ohmic resistance extrapolation Warburg impedance Molar conductivity Aqueous electrolyte Sodium chloride 
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Notes

Acknowledgments

The authors express deep gratitude to Professor Robert H. Wood, University of Delaware, for donating the AC conductance cell to the Hydrothermal Chemistry Laboratory at the University of Guelph, for providing us with the benefit of his extensive operating experience, and for many productive discussions. We also thank Professor Peter Tremaine for many fruitful discussions and his helpful, insightful comments on this manuscript. We are also grateful to Mr. Ian Renaud and Mr. Case Gielen of the electronics shop and machine shop in the College of Physical and Engineering Science at the University of Guelph, for their very considerable expertise in maintaining and modifying the instrument and its data acquisition system. We also thank Mr. Conor Flynn, Bloomsburg University (B. S. Chemistry, 2014) for performing simulation calculations of the equivalent electrical circuit. This research was supported by the Natural Science and Engineering Research Council of Canada (NSERC), Ontario Power Generation Ltd. (OPG), the University Network of Excellence in Nuclear Engineering (UNENE), and Bloomsburg University for sabbatical leave (G.H.Z.). G.H.Z. would like to express appreciation for the financial support provided by Fulbright Canada, and gratitude for the support of the governments of Canada and the United States in making this program possible.

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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Department of Chemistry and BiochemistryBloomsburg UniversityBloomsburgUSA
  2. 2.Department of ChemistryUniversity of GuelphGuelphCanada

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