Skip to main content
Log in

On the theory of cyclic voltammetry for formation and growth of single metal cluster

  • Original Paper
  • Published:
Journal of Solid State Electrochemistry Aims and scope Submit manuscript

Abstract

The theory of cyclic voltammetry for formation and growth of single metal cluster has been developed. The analytical expressions for cyclic voltammograms and the overpotential dependences of the cluster size have been obtained. The applicability of this theory was discussed.

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

Similar content being viewed by others

References

  1. Gamburg YD, Zangari G (2011) Theory and practice of metal electrodeposition. Springer, New York

    Book  Google Scholar 

  2. Budevski E, Staikov G, Lorenz WJ (1996) Electrochemical phase formation and growth: an introduction to the initial stages of metal deposition. Weinheim, VCH

    Book  Google Scholar 

  3. Milchev A (2002) Electrocrystallization: fundamentals of nucleation and growth. Kluwer, Boston

    Google Scholar 

  4. Paunovich M, Schlesinger M (2006) Fundamentals of electrochemical deposition, 2nd edn. Wiley, New York

    Book  Google Scholar 

  5. Isaev VA (2007) Electrochemical phase formation (in Russian). UB, Russian Academy of Science, Ekaterinburg

    Google Scholar 

  6. Hills GJ, Schiffrin DJ, Thompson J (1974) Electrochemical nucleation from molten salts - I. Diffusion controlled electrodeposition of silver from alkali molten nitrates. Electrochim Acta 19:657–670

    Article  CAS  Google Scholar 

  7. Fletcher S (1983) Electrochemical deposition of hemispherical nuclei under diffusion control. Some theoretical considerations. J Chem Soc. Faraday Trans 1(79):467–479

    Article  Google Scholar 

  8. Fletcher S (1983) Some formulae describing spherical and hemispherical diffusion to small crystals in unstirred solutions. J Crystal Growth 62:505–512

    Article  CAS  Google Scholar 

  9. Danilov AI, Polukarov YM (1987) Modern ideas about the processes involving the formation and growth of the nuclei of a new phase under potentiostatic conditions. Russ Chem Rev 56:619–632

    Article  Google Scholar 

  10. Isaev VA, Baraboshkin AN (1994) Three-dimensional electrochemical phase formation. J Electroanal Chem 377:33–37

    Article  CAS  Google Scholar 

  11. Milchev A (2008) Electrocrystallization: Nucleation and growth of nano-clusters on solid surfaces. Russ J Electrochem 44:619–645

    Article  CAS  Google Scholar 

  12. Milchev A (2016) Nucleation phenomena in electrochemical systems: kinetic models. ChemTexts 2:4

    Article  Google Scholar 

  13. Milchev A, Montenegro MI (1992) A galvanostatic study of electrochemical nucleation. J Electroanal Chem 333:93–102

    Article  CAS  Google Scholar 

  14. Isaev VA, Grishenkova OV (2001) Kinetics of electrochemical nucleation and growth. Electrochem Communication 3:500–504

    Article  CAS  Google Scholar 

  15. Johans C, Kontturi K, Schiffrin DJ (2002) Nucleation at liquid ∣ liquid interfaces: galvanostatic study. J Electroanal Chem 526:29–35

    Article  CAS  Google Scholar 

  16. Hasse U, Fletcher S, Scholz F (2006) Nucleation-growth kinetics of the oxidation of silver nanocrystals to silver halide crystals. J Solid State Electrochem 10:833–840

    Article  CAS  Google Scholar 

  17. Isaev VA, Grishenkova OV (2013) Galvanostatic nucleation and growth under diffusion control. J Solid State Electrochem 17:1505–1508

    Article  CAS  Google Scholar 

  18. Isaev VA, Grishenkova OV (2014) Galvanostatic phase formation. J Solid State Electrochem 18:2383–2386

    Article  CAS  Google Scholar 

  19. Fletcher S, Halliday CS, Gates D, Westcott M, Lwin T, Nelson G (1983) The response of some nucleation/growth processes to triangular scans of potential. J Electroanal Chem 159:267–285

    Article  CAS  Google Scholar 

  20. Pritzker MD (1988) Voltammetric response for the diffusion-controlled electrodeposition onto growing hemispherical nuclei. J Electroanal Chem 243:57–80

    Article  CAS  Google Scholar 

  21. Mirkin MV, Nilov AP (1990) Three-dimensional nucleation and growth under controlled potential. J Electroanal Chem 283:35–51

    Article  CAS  Google Scholar 

  22. Guntsov AV (2012) Diffusive problem of Stephan and its solution for processes of electrodissolution of semispherical nuclei of the deposit. J Solid State Electrochem 16:2309–2314

    Article  CAS  Google Scholar 

  23. Velmurugan J, Noёl J-M, Nogala W, Mirkin MV (2012) Nucleation and growth of metal on nanoelectrodes. Chem Sci 3:3307–3314

    Article  CAS  Google Scholar 

  24. Velmurugan J, Noёl J-M, Mirkin MV (2014) Nucleation and growth of mercury on Pt nanoelectrodes at different overpotentials. Chem Sci 5:189–194

    Article  CAS  Google Scholar 

  25. Isaev VA, Chebotin VN (1978) On the relation between volume and surface diffusion during the growth of crystal nuclei. Proc Inst Electrochem Ural Branch Acad Sci USSR 27:46–51

    Google Scholar 

  26. Brainina KZ, Galperin LG, Galperin AL (2010) Mathematical modeling and numerical simulation of metal nanoparticles electrooxidation. J Solid State Electrochem 14:981–988

    Article  CAS  Google Scholar 

  27. Brainina KZ, Galperin LG, Vikulova ЕV, Stozhko NY, Murzakaev АM, Timoshenkova ОR, Kotov YА (2011) Gold nanoparticles electrooxidation: comparison of theory and experiment. J Solid State Electrochem 15:1049–1056

    Article  CAS  Google Scholar 

  28. Brainina KZ, Galperin LG, Kiryuhina TY, Galperin AL, Stozhko NY, Murzakaev АM, Timoshenkova ОR (2012) Silver nanoparticles electrooxidation: theory and experiment. J Solid State Electrochem 16:2365–2372

    Article  CAS  Google Scholar 

Download references

Acknowledgments

The study is supported by the Program of UD RAS (project No 15-9-3-39) and the Russian Science Foundation grant (project No 16-13-00061).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Vladimir A. Isaev.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Isaev, V.A., Grishenkova, O.V., Kosov, A.V. et al. On the theory of cyclic voltammetry for formation and growth of single metal cluster. J Solid State Electrochem 21, 787–791 (2017). https://doi.org/10.1007/s10008-016-3425-y

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10008-016-3425-y

Keywords

Navigation