Impedance-Frequency Response of Closed Electrolytic Cells

The electric AC response of electrolytic cells with DC bias is analyzed solving numerically the Poisson–Nernst–Planck equations and avoiding the commonly used infinite solution approximation. The results show the presence of an additional low-frequency dispersion process associated with the finite s...

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Main Authors: José Juan López-García, José Horno, Constantino Grosse
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Micromachines
Subjects:
Online Access:https://www.mdpi.com/2072-666X/14/2/368
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author José Juan López-García
José Horno
Constantino Grosse
author_facet José Juan López-García
José Horno
Constantino Grosse
author_sort José Juan López-García
collection DOAJ
description The electric AC response of electrolytic cells with DC bias is analyzed solving numerically the Poisson–Nernst–Planck equations and avoiding the commonly used infinite solution approximation. The results show the presence of an additional low-frequency dispersion process associated with the finite spacing of the electrodes. Moreover, we find that the condition of fixed ionic content inside the electrolytic cell has a strong bearing on both the steady-state and the frequency response. For example: the characteristic frequency of the high-frequency dispersion decreases when the DC potential increases and/or the electrode spacing decreases in the closed cell case, while it remains essentially insensitive on these changes for open cells. Finally, approximate analytic expressions for the dependences of the main parameters of both dispersion processes are also presented.
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spelling doaj.art-4aa34b0b33e34e17b3b48ff001d8f4022023-11-16T22:11:15ZengMDPI AGMicromachines2072-666X2023-01-0114236810.3390/mi14020368Impedance-Frequency Response of Closed Electrolytic CellsJosé Juan López-García0José Horno1Constantino Grosse2Departamento de Física, Universidad de Jaén, Campus Las Lagunillas, Ed. A-3, 23071 Jaén, SpainDepartamento de Física, Universidad de Jaén, Campus Las Lagunillas, Ed. A-3, 23071 Jaén, SpainDepartamento de Física, Universidad Nacional de Tucumán, Av. Independencia 1800, San Miguel de Tucumán 4000, ArgentinaThe electric AC response of electrolytic cells with DC bias is analyzed solving numerically the Poisson–Nernst–Planck equations and avoiding the commonly used infinite solution approximation. The results show the presence of an additional low-frequency dispersion process associated with the finite spacing of the electrodes. Moreover, we find that the condition of fixed ionic content inside the electrolytic cell has a strong bearing on both the steady-state and the frequency response. For example: the characteristic frequency of the high-frequency dispersion decreases when the DC potential increases and/or the electrode spacing decreases in the closed cell case, while it remains essentially insensitive on these changes for open cells. Finally, approximate analytic expressions for the dependences of the main parameters of both dispersion processes are also presented.https://www.mdpi.com/2072-666X/14/2/368Poisson-Nernst Planck equationsclosed electrolytic cellselectrical impedance spectroscopy
spellingShingle José Juan López-García
José Horno
Constantino Grosse
Impedance-Frequency Response of Closed Electrolytic Cells
Micromachines
Poisson-Nernst Planck equations
closed electrolytic cells
electrical impedance spectroscopy
title Impedance-Frequency Response of Closed Electrolytic Cells
title_full Impedance-Frequency Response of Closed Electrolytic Cells
title_fullStr Impedance-Frequency Response of Closed Electrolytic Cells
title_full_unstemmed Impedance-Frequency Response of Closed Electrolytic Cells
title_short Impedance-Frequency Response of Closed Electrolytic Cells
title_sort impedance frequency response of closed electrolytic cells
topic Poisson-Nernst Planck equations
closed electrolytic cells
electrical impedance spectroscopy
url https://www.mdpi.com/2072-666X/14/2/368
work_keys_str_mv AT josejuanlopezgarcia impedancefrequencyresponseofclosedelectrolyticcells
AT josehorno impedancefrequencyresponseofclosedelectrolyticcells
AT constantinogrosse impedancefrequencyresponseofclosedelectrolyticcells