Year: 2026
Type: preprint
Abstract: A recent comment on our previous paper (Electrochem. Commun. 164 (2024) 107731) regarding the futility of the so-called Fuoss-Kirkwood (FK) relation presents an appreciated opportunity for clarification and further argumentation. In this reply, we provide additional arguments suggesting that the commenting authors are misguided in concluding that this relation is valid, and that, when correctly applied, the FK relation can be straightforwardly employed to derive analytical expressions of the real-valued distribution of relaxation times (DRT) for model impedances that are explicitly known in closed form and do not possess ω-domain singularities. Moreover, we present analytical expressions of the DRT for the impedances of the Cole-Cole (CC) and Havriliak-Negami models, which are generally complex-valued, and validate their accuracy by incorporating them into the DRT integral equation with a Debye kernel, utilising the proven sifting property of the δ distribution.
Source: ChemRxiv
Authors: K T Malkow, Thomas Malkow
Institutions: Joint Research Centre, European Commission, Joint Research Centre
Language: English
Subfield: Electrochemistry
Field: Chemistry
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7213898587