Skip to main content
Log in

Consideration about a voltammogram as the bifurcation diagram of oscillating electrochemical systems: a case study of the copper|1 M trifluoroacetic acid oscillator

  • Published:
Reaction Kinetics, Mechanisms and Catalysis Aims and scope Submit manuscript

Abstract

The anodic dissolution of copper electrode in 1 M trifluoroacetic acid (TFA) was investigated by applying linear sweep and cyclic voltammetry. The current–potential (IE) polarization curves (voltammograms) were interpreted from the perspective of non-linear dynamics. The obtained results showed that the voltammogram can be divided into three separate regions. As the system was moved away from the thermodynamical equilibrium, the first to appear is the region of stable steady-state (marked as SSS1 region). This region was followed by the region of oscillatory states (the OsS region). The SSS1 → OsS transition is characterized by bifurcation potential, E BIF1 = 0.558 VSCE. The third region, the region of stable steady-state (marked as the SSS2 region) occurs after the OsS → SSS2 transition, and is characterized by the potential bifurcation, E BIF2 = 0.657 VSCE. The cyclic voltammetry measurement has revealed the lack of hysteresis at the SSS1 ↔ OsS transition, and its existence at the OsS ↔ SSS2 transition (the hysteresis width was 34 mV). The results of this study are presented to demonstrate that the voltammograms of the Cu|1 M TFA oscillating electrochemical system can be considered as a bifurcation diagram, experimentally constructed under dynamical conditions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  1. Orlik M (2012) Self-organization in electrochemical systems. I: general principles of self-organization. Temporal instabilities, 1st edn. Springer, Berlin

    Google Scholar 

  2. Krischer K, Mazouz N, Grauel P (2001) Fronts, waves, and stationary patterns in electrochemical systems. Angew Chem Int Ed 40:850–869

    Article  CAS  Google Scholar 

  3. Krischer K (2002) In: Kolb DM (ed) Advances in electrochemical sciences and engineering, vol 8. Wiley-VCH Verlag GmbH and Co. KGaA, Weinheim

    Google Scholar 

  4. Hudson JL, Tsotsis TT (1994) Electrochemical reaction dynamics: a review. Chem Eng Sci 49:1493–1572

    Article  CAS  Google Scholar 

  5. Koper MTM (1998) Non-linear phenomena in electrochemical systems. J Chem Soc Faraday Trans 94:1369–1378

    Article  CAS  Google Scholar 

  6. Prigogine I (1984) Order out of chaos: man’s new dialogue with nature, 1st edn. Bantam Books, New York

    Google Scholar 

  7. Prigogine I (2003) Is future given?. World Scientific Publishing C. Pte. Ltd., London

    Book  Google Scholar 

  8. Sazou D, Pagitsas M (1998) Bifurcation to limit cycle oscillations induced by the Ohmic potential drop during the anodic polarisation of iron in 14.8 M H3PO4. J Electroanal Chem 451:77–87

    Article  CAS  Google Scholar 

  9. Sazou D, Pagitsas M (2003) Non-linear dynamics of the passivity breakdown of iron in acidic solutions. Chaos Soliton Fract 17:505–522

    Article  CAS  Google Scholar 

  10. Barkey D, Chang R, Liu D, Chen J (2014) Observation of a limit cycle in potential oscillations during copper electrodeposition in a leveler/accelerant system. J Electrochem Soc 161:D97–D101

    Article  CAS  Google Scholar 

  11. Bard AJ, Faulker LR (1980) Electrochemical methods: fundamentals and application. Wiley, New York

    Google Scholar 

  12. Koper MTM (1992) The theory of electrochemical instabilities. Electrochim Acta 37:1771–1778

    Article  CAS  Google Scholar 

  13. Krischer K (2001) Spontaneous formation of spatiotemporal patterns at the electrode|electrolyte interface. J Electroanal Chem 501:1–21

    Article  CAS  Google Scholar 

  14. Kiss IZ, Gáspár V, Nyikos L (1998) Stability analysis of the oscillatory electrodissolution of copper with impedance spectroscopy. J Phys Chem A 102:909–914

    Article  CAS  Google Scholar 

  15. Nguyen TM, Odermatt J, Grimaudo V, Krämer KW, Fluegel A, Arnold M, Mayer D, Broekmann P (2012) Potential oscillations in galvanostatic Cu electrodeposition: antagonistic and synergetic effect among SPS, chloride, and suppressor additives. J Phys Chem C 116:6913–6924

    Article  CAS  Google Scholar 

  16. Yang X, Eckert K, Odenbach KS (2010) Oscillatory Lorentz-force-driven flows during potentiostatic current oscillations in magnetic fields. Electrochem Commun 12:1576–1580

    Article  CAS  Google Scholar 

  17. Karantonis A, Karaoulanis D (2011) Conditions of electrochemical resonance under potentiostatic control. Electrochim Acta 56:4119–4125

    Article  CAS  Google Scholar 

  18. Potkonjak N, Kolar-Anić Lj, Potkonjak T, Blagojević SN, Anić S (2006) Oscillatory phenomena during anodic copper electrodissolution in trifluoroacetic acid solution. Mater Sci Forum 518:301–306

    Article  CAS  Google Scholar 

  19. Karantonis A, Bourbos E, Koutsaftis D (2010) Electrochemical resonance: frequency response analysis of the electrodissolution of copper in trifluoroacetic acid close to dynamic instabilities. Chem Phys Lett 490:69–71

    Article  CAS  Google Scholar 

  20. Potkonjak N, Potkonjak T, Blagojević SN, Dudić B, Randjelović DV (2010) Current oscillations during the anodic dissolution of copper in trifluoroacetic acid. Corros Sci 52:1618–1624

    Article  CAS  Google Scholar 

  21. Potkonjak N, Nikolić Z, Anić SR, Minić DM (2014) Electrochemical oscillations during copper electrodissolution/passivation in trifluoroacetic acid induced by current interrupt method. Corros Sci 83:355–358

    Article  CAS  Google Scholar 

  22. Gorzkowski MT, Wesolowska A, Jurczakowski R, Ślepski P, Darowicki K, Orlik M (2011) Electrochemical oscillations and bistability during anodic dissolution of vanadium electrode in acidic media—Part I. Experiment. J Solid State Electrochem 15:2311–2320

    Article  CAS  Google Scholar 

  23. Potkonjak NI (2015) Current electrochemical oscillator: copper–trifluoroacetic acid. PhD Thesis, Faculty of Physical Chemistry, University of Belgrade, Belgrade (in Serbian)

  24. Anić SR, Čupić ŽD (2017) Dynamics and kinetics of complex reaction systems. Contributions of the Professor Emeritus Ljiljana Kolar-Anić. Reac Kinet Mech Cat. https://doi.org/10.1007/s11144-017-1290-z

    Google Scholar 

  25. Sazou D, Pagitsas M (2006) On the onset of current oscillations at the limiting current region emerged during iron electrodissolution in sulfuric acid solutions. Electrochim Acta 51:6281–6296

    Article  CAS  Google Scholar 

  26. Sazou D, Diamantopulos A, Pagitsas M (2000) Chemical perturbation of the passive–active transition state of Fe in a sulfuric acid solution by adding halide ions. Current oscillations and stability of the iron oxide film. Electrochim Acta 45:2753–2769

    Article  CAS  Google Scholar 

  27. Sazou D (1997) Current oscillations and mass-transport control during electrodissolution of iron in phosphoric acid solutions. Electrochim Acta 42:627–637

    Article  CAS  Google Scholar 

  28. Tamamushi R (1966) An “Electrochemical Oscillator”—an electrochemical system which generates undamped electric oscillation. J Electroanal Chem 11:65–68

    CAS  Google Scholar 

  29. Strasser P, Eiswirth M, Koper MTM (1999) Mechanistic classification of electrochemical oscillators—an operational experimental strategy. J Electroanal Chem 478:50–66

    Article  CAS  Google Scholar 

  30. Koper MTM, Strasser P (1991) Electrochemical oscillators: an experimental study of the indium/thiocyanate oscillator. J Electroanal Chem 303:65–72

    Article  CAS  Google Scholar 

  31. Sazou D, Pagitsas M (1993) Current oscillations associated with pitting corrosion processes induced by iodide ions on the partially passive cobalt surface polarized in sulphuric acid solutions. Electrochim Acta 38:835–845

    Article  CAS  Google Scholar 

Download references

Acknowledgements

This work was supported by the Ministry of Education, Science and Technological Development of Republic of Serbia, throughout Projects No. 172015. Author would also like to express its deepest gratitude to the Professor Dr. Ljiljana Kolar-Anić for her wise guidance throughout wonderful world of the oscillatory phenomena.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Nebojša I. Potkonjak.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Potkonjak, N.I. Consideration about a voltammogram as the bifurcation diagram of oscillating electrochemical systems: a case study of the copper|1 M trifluoroacetic acid oscillator. Reac Kinet Mech Cat 123, 155–163 (2018). https://doi.org/10.1007/s11144-017-1325-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11144-017-1325-5

Keywords

Navigation