Equation describing the contribution of interfering ions,
\(i\), to the electrode potential of an ion-selective electrode that is mainly dominated by the primary ion
\(\ce{X}\).
\[E = {\rm{const}} + \frac{RT}{z_{\rm{X}}F} \ln \left(a_{\ce{X}} + \sum\limits_i K_{{\ce{X}},i}^{\rm{pot}}a_{i}^{(z_{\ce{X}}/z_i)} \right)\] where
\(E\) is the measured electrode potential of an ISE when the only variables are activities in the test solution.
\(R\) is the gas constant,
\(T\) the thermodynamic temperature,
\(z_{\rm{X}}\) and
\(z_{\rm{i}}\) are
the numbers of electrons transferred by the analyte ion
\(\ce{X}\) and
\(i\), respectively,
\(F\) is the Faraday constant,
\(a_{\rm{X}}\) and
\(a_{\rm{i}}\) the activity of
\(\ce{X}\) and
\(i\), respectively, and
\(K_{{\ce{X}},i}^{\rm{pot}}\) is the potentiometric selectivity coefficient for interfering ion
\(i\) with respect to the primary ion
\(\ce{X}\).
Note: The Nikolsky–Eisenman equation is an extension of the
Nernst equation.
Source:
PAC, 2020, 92, 641. 'Terminology of Electrochemical Methods of Analysis (IUPAC Recommendations 2019)' on page 666 (https://doi.org/10.1515/pac-2018-0109)