THEORETICAL PRINCIPLES GOVERNING ELECTROCHEMICAL IMPEDANCE SPECTROSCOPY IN NANOSTRUCTURED SEMICONDUCTOR ELECTRODES
DOI:
https://doi.org/10.52326/jes.utm.2026.33(1).02Keywords:
electrochemical response, nanostructured semiconductors, space-charge layer, charge-transfer resistance, equivalent circuitAbstract
Electrochemical impedance spectroscopy (EIS) provides a powerful means of probing interfacial and charge-transport phenomena in semiconductor electrodes, yet interpretation becomes increasingly difficult when applied to nanostructured materials. Semiconductor nanowires, nanotubes, and porous films exhibit high surface areas, heterogeneous morphologies, and defect-rich interfaces, all of which modify their impedance response. Theoretical principles regarding EIS behavior in such systems are presented, beginning with semiconductor–electrolyte junction formation, space-charge layer development, band bending and the influence of surface states. Key elements of equivalentcircuit descriptions are examined, including double-layer capacitance, charge-transfer resistance and diffusion-related impedance contributions. Special emphasis is placed on constant-phase elements and distributed models required to capture non-ideal capacitive behavior characteristic of nanoscale electrodes. Common challenges in spectral interpretation, such as overlapping time constants, non-uniform current distribution and deviations from classical Randles-type responses, are summarized within a unified theoretical framework to support reliable modelling and analysis.
References
Zhang H, Sun Z, Sun K, et al (2025) Electrochemical Impedance Spectroscopy-Based Biosensors for LabelFree Detection of Pathogens. Biosensors 15:443. https://doi.org/10.3390/bios15070443
Magar HS, Hassan RYA, Mulchandani A (2021) Electrochemical Impedance Spectroscopy (EIS): Principles, Construction, and Biosensing Applications. Sensors 21:6578. https://doi.org/10.3390/s21196578
Monaico, E. (2022). Micro- and nano-engineering of III-V and II-VI semiconductor compounds and metal nanostructures based on electrochemical technologies for multifunctional applications. Chișinău: Technical University of Moldova. Available at: http://repository.utm.md/handle/5014/21913
Tiginyanu IM, Monaico EV (2024) Self-organized porous semiconductor compounds. In: Encyclopedia of Condensed Matter Physics. Elsevier, pp 350–374. doi: 10.1016/B978-0-323-90800-9.00105-0.
Monaico EV, Monaico EI, Ursaki VV, Tiginyanu IM (2023) Porous Semiconductor Compounds with Engineered Morphology as a Platform for Various Applications. Phys Status Solidi RRL – Rapid Res Lett 17:2300039. https://doi.org/10.1002/pssr.202300039
Monaico EI, Monaico EV, Ursaki VV, Tiginyanu IM (2021) Evolution of Pore Growth in GaAs in Transitory Anodization Regime from One Applied Voltage to Another. Surf Eng Appl Electrochem 57:165–172. https://doi.org/10.3103/S106837552102006X
Monaico E, Tiginyanu I, Ursaki V (2020) Porous semiconductor compounds. Semicond Sci Technol 35:103001. https://doi.org/10.1088/1361-6641/ab9477
Monaico EI, Monaico EV, Ursaki VV, Tiginyanu IM (2025) Micro- and Nano-Integration in the Production of GaAs and Ga2O3 Nanowire Arrays by Top-Down Design. J Manuf Mater Process 9:376. https://doi.org/10.3390/jmmp9110376
Monaico EV, Tiginyanu IM (2025) How Semiconductor Terminology has Been Enriched by Research of Electrochemical Pore Etching and Electrodeposition. In: Sontea V, Tiginyanu I, Railean S (eds) 7th International Conference on Nanotechnologies and Biomedical Engineering. Springer Nature Switzerland, Cham, pp 311–321. doi: 10.1007/978-3-032-06494-3_31.
Monaico EI, Monaico EV, Ursaki VV, Tiginyanu IM (2025) Micro- and Nano-Integration in the Production of GaAs and Ga2O3 Nanowire Arrays by Top-Down Design. J Manuf Mater Process 9:376. https://doi.org/10.3390/jmmp9110376
Monaico EV (2024) Micro- and nano-engineering of semiconductor compounds and metal structures based on electrochemical technologies. Ann Acad Romanian Sci Ser Phys Chem 9:85–107. https://doi.org/10.56082/annalsarsciphyschem.2024.1.85
Monaico EI, Monaico EV, Ursaki VV, Tiginyanu IM (2022) Controlled Electroplating of Noble Metals on III-V Semiconductor Nanotemplates Fabricated by Anodic Etching of Bulk Substrates. Coatings 12:1521. https://doi.org/10.3390/coatings12101521
Krawczyk M, Korbutowicz R, Suchorska-Woźniak P (2024) Impedance Spectroscopy Study of Charge Transfer in the Bulk and Across the Interface in Networked SnO2/Ga2O3 Core–Shell Nanobelts in Ambient Air. Sensors 24:6173. https://doi.org/10.3390/s24196173
Busuioc S, Monaico EV (2024) Electrochemical Impedance Spectroscopy for NonEnzymatic Glucose Detection Using ZnO Nanowire Arrays: Substrate Impact Analysis. University Politehnica of Bucharest, Bucharest, Romania, p 30. [Online]. Available: http://www.physics.pub.ro/Site_Conferinta_PM-8/Abstracts_Book.pdf
Busuioc S, Monaico EV (2025) Influence of Surface Pre-treatment and Thermal Annealing on the Electrochemical and Wettability Behavior of Copper. In: Sontea V, Tiginyanu I, Railean S (eds) 7th International Conference on Nanotechnologies and Biomedical Engineering. Springer Nature Switzerland, Cham, pp 215–226. doi: 10.1007/978-3-032-06494-3_23.
Iram S, Mahmood A, Ehsan MF, et al (2021) Impedance Spectroscopic Study of Nickel Sulfide Nanostructures Deposited by Aerosol Assisted Chemical Vapor Deposition Technique. Nanomaterials 11:1105. https://doi.org/10.3390/nano11051105
Leks B, Parzuch A, Nawaz N, et al (2025) Influence of Electrolyte Composition on the Semiconductor– Electrolyte Interface (SEI) Built-In for Enhanced Photoelectrochemical (PEC) Processes. Molecules 30:885. https://doi.org/10.3390/molecules30040885
Al-Hilli S, Willander M (2009) The pH Response and Sensing Mechanism of n-Type ZnO/Electrolyte Interfaces. Sensors 9:7445–7480. https://doi.org/10.3390/s90907445
Lee SF, Jimenez-Relinque E, Martinez I, Castellote M (2023) Effects of Mott–Schottky Frequency Selection and Other Controlling Factors on Flat-Band Potential and Band-Edge Position Determination of TiO2. Catalysts 13:1000. https://doi.org/10.3390/catal13061000
Lee SF, Jimenez-Relinque E, Martinez I, Castellote M (2023) Effects of Mott–Schottky Frequency Selection and Other Controlling Factors on Flat-Band Potential and Band-Edge Position Determination of TiO2. Catalysts 13:1000. https://doi.org/10.3390/catal13061000
Brett CMA (2022) Electrochemical Impedance Spectroscopy in the Characterisation and Application of Modified Electrodes for Electrochemical Sensors and Biosensors. Molecules 27:1497. https://doi.org/10.3390/molecules27051497
Bard AJ, Faulkner LR (2001) Electrochemical methods: fundamentals and applications, 2. edition. Wiley, New York Weinheim
Lazanas A, Prieto Simón B (2025) A Guide to Recognizing Your Electrochemical Impedance Spectra: Revisions of the Randles Circuit in (Bio)sensing. Sensors 25:6260. https://doi.org/10.3390/s25196260
Ferre F, Breuiller M, Cedard L (1975) Human placental delta5-3beta hydroxysteroid dehydrogenase activity (delta5-3beta HSDH): intracellular distribution, kinetic properties, retroinhibition and influence of membrane delipidation. Steroids 26:551–570. https://doi.org/10.1016/0039-128x(75)90050-1
Hosen MS, Gopalakrishnan R, Kalogiannis T, et al (2021) Impact of Relaxation Time on Electrochemical Impedance Spectroscopy Characterization of the Most Common Lithium Battery Technologies—Experimental Study and Chemistry-Neutral Modeling. World Electr Veh J 12:77. https://doi.org/10.3390/wevj12020077
Helmholtz H von (1879) Studien über elektrische Grenzschichten. Ann Phys 243:337–382. https://doi.org/10.1002/andp.18792430702
Bolt GH (1955) Analysis of the validity of the Gouy-Chapman theory of the electric double layer. J Colloid Sci 10:206–218. https://doi.org/10.1016/0095-8522(55)90027-1
Miszczyk A (2025) Direct Measurement of Effective Electrical Capacitance in Systems with a Constant-Phase Element Behavior Using the Example of Barrier Coatings. Coatings 15:1429. https://doi.org/10.3390/coatings15121429
(1924) On the determination of molecular fields. —II. From the equation of state of a gas. Proc R Soc Lond Ser Contain Pap Math Phys Character 106:463–477. https://doi.org/10.1098/rspa.1924.0082
Cuevas AL, Dominguez A, Zamudio-García J, et al (2024) Optical and Electrochemical Properties of a Nanostructured ZnO Thin Layer Deposited on a Nanoporous Alumina Structure via Atomic Layer Deposition. Materials 17:1412. https://doi.org/10.3390/ma17061412
Leva-Bueno J, Peyman SA, Millner PA (2020) A review on impedimetric immunosensors for pathogen and biomarker detection. Med Microbiol Immunol (Berl) 209:343–362. https://doi.org/10.1007/s00430-020- 00668-0
Brug GJ, Van Den Eeden ALG, Sluyters-Rehbach M, Sluyters JH (1984) The analysis of electrode impedances complicated by the presence of a constant phase element. J Electroanal Chem Interfacial Electrochem 176:275–295. https://doi.org/10.1016/S0022-0728(84)80324-1
De Levie R (1963) On porous electrodes in electrolyte solutions. Electrochimica Acta 8:751–780. https://doi.org/10.1016/0013-4686(63)80042-0
Barsoukov E, Macdonald JR (2005) Impedance Spectroscopy: Theory, Experiment, and Applications, 1st ed. Wiley. doi: 10.1002/0471716243.
Lazanas ACh, Prodromidis MI (2023) Electrochemical Impedance Spectroscopy─A Tutorial. ACS Meas Sci Au 3:162–193. https://doi.org/10.1021/acsmeasuresciau.2c00070
Bumberger AE, Nenning A, Fleig J (2024) Transmission line revisited – the impedance of mixed ionic and electronic conductors. Phys Chem Chem Phys 26:15068–15089. https://doi.org/10.1039/d4cp00975d
Da Silva GMG, Faia PM, Mendes SR, Araújo ES (2024) A Review of Impedance Spectroscopy Technique: Applications, Modelling, and Case Study of Relative Humidity Sensors Development. Appl Sci 14:5754. https://doi.org/10.3390/app14135754
Nuñez Perez FA (2025) Analytical–Computational Integration of Equivalent Circuit Modeling, Hybrid Optimization, and Statistical Validation for Electrochemical Impedance Spectroscopy. Electrochem 6:35. https://doi.org/10.3390/electrochem6040035
Fortuna L, Garraffa G (2025) Characteristic Value Techniques to Approximate Warburg Diffusion Devices. Energies 18:3408. https://doi.org/10.3390/en18133408
Lasia A (2014) Electrochemical Impedance Spectroscopy and its Applications. Springer New York, New York, NY Springer New York, 2014. doi: 10.1007/978-1-4614-8933-7.
Song J, Bazant MZ (2018) Electrochemical Impedance Imaging via the Distribution of Diffusion Times. Phys Rev Lett 120:. https://doi.org/10.1103/physrevlett.120.116001
Costa R, Voroshylova IV, Cordeiro MNDS, et al (2018) Enhancement of differential double layer capacitance and charge accumulation by tuning the composition of ionic liquids mixtures. Electrochimica Acta 261:214– 220. https://doi.org/10.1016/j.electacta.2017.12.134
Gelderman K, Lee L, Donne SW (2007) Flat-Band Potential of a Semiconductor: Using the Mott–Schottky Equation. J Chem Educ 84:685. https://doi.org/10.1021/ed084p685
Fabregat-Santiago F, Bisquert J, Garcia-Belmonte G, et al (2005) Influence of electrolyte in transport and recombination in dye-sensitized solar cells studied by impedance spectroscopy. Sol Energy Mater Sol Cells 87:117–131. https://doi.org/10.1016/j.solmat.2004.07.017
Bredar ARC, Chown AL, Burton AR, Farnum BH (2020) Electrochemical Impedance Spectroscopy of Metal Oxide Electrodes for Energy Applications. ACS Appl Energy Mater 3:66–98. https://doi.org/10.1021/acsaem.9b01965
Córdoba-Torres P, Mesquita TJ, Nogueira RP (2015) Relationship between the Origin of Constant-Phase Element Behavior in Electrochemical Impedance Spectroscopy and Electrode Surface Structure. J Phys Chem C 119:4136–4147. https://doi.org/10.1021/jp512063f
Das S, Banerjee A, Nandi U, Ghosh A (2025) Critical review on the analysis of electrochemical impedance spectroscopy data. J Appl Phys 138:. https://doi.org/10.1063/5.0275205
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