Reply to a comment ‘On the futility of the Fuoss–Kirkwood relation’ by Gradišar & Boškoski
- 1Joint Research Centre, 1755 LE Petten, Netherlands
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.
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BibTeX
@misc{malkow2026reply,
title = {{Reply to a comment ‘On the futility of the Fuoss–Kirkwood relation’ by Gradišar & Boškoski}},
author = {K T Malkow and Thomas Malkow},
howpublished = {ChemRxiv},
year = {2026},
month = sep,
doi = {10.26434/chemrxiv.15009179/v1},
url = {https://chemrxiv.org/doi/full/10.26434/chemrxiv.15009179/v1},
note = {CC BY},
}
RIS
TY - UNPB
TI - Reply to a comment ‘On the futility of the Fuoss–Kirkwood relation’ by Gradišar & Boškoski
AU - K T Malkow
AU - Thomas Malkow
PY - 2026
DA - 2026/09/21
PB - ChemRxiv
DO - 10.26434/chemrxiv.15009179/v1
UR - https://chemrxiv.org/doi/full/10.26434/chemrxiv.15009179/v1
AB - 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.
ER -