Skip to main content

Electroanalytical simulations. 10. The simulation of fast second order reactions in electrochemical systems

  • Conference paper
Software Development in Chemistry 4
  • 113 Accesses

Abstract

Two methods for the simulation of fast chemical second order reactions coupled to an electron transfer at an electrode are used in conjunction with orthogonal collocation to calculate theoretical cyclic voltammograms: spline collocation and the technique of the heterogeneous equivalent. The techniques prove to produce reliable numerical results for the model of an electro-chemically induced irreversible dimerization reaction after the application of a non-linear space coordinate transformation. Also, simulations of the ece/disp model (two electron transfers coupled by a chemical equilibrium and a disproportionation reaction) with the spline collocation method are discussed. It is shown in this case that the assumption about the DISP equilibrium usually required for the solution of the model equations can be dropped and the spline algorithm can be used throughout the parameter space.

Paer 9 of this series: Hertl P, Speiser B (1988), J Electroanal Chem Interfac Electrochem 250:237

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Speiser B (1981) Chem in uns Zeit 15:62

    Article  CAS  Google Scholar 

  2. Mabbott G A (1983) J Chem Educ 60:697

    Article  CAS  Google Scholar 

  3. Heinze J (1984) Angew Chem 96:823

    Article  CAS  Google Scholar 

  4. Speiser B (1985) Anal Chem 57:1390

    Article  CAS  Google Scholar 

  5. Speiser B (1989) uyen In: Gauglitz G (ed), Software-Entwicklung in der Chemie 3, Proceedings of the workshop “Computer in der Chemie”, Tübingen, 1988, Springer, Berlin, 333

    Google Scholar 

  6. Speiser B, Comput Chem, accepted for publication

    Google Scholar 

  7. Savéant J M, Xu F (1986) J Electroanal Chem Interfac Electrochem 208:197

    Article  Google Scholar 

  8. Pons S (1984) uyen In: Bard A J (ed) Electroanal Chem 13:115

    Google Scholar 

  9. Speiser B (1984) J Electroanal Chem Interfac Electrochem 171:95

    Article  CAS  Google Scholar 

  10. Hertl P, Speiser B (1987) J Electroanal Chem Interfac Electrochem 217:225

    Article  CAS  Google Scholar 

  11. Hertl P, Speiser B (1987) J Electroanal Chem Interfac Electrochem 235:57

    Article  CAS  Google Scholar 

  12. Ručić I, Feldberg S W (1974) J Electroanal Chem Interfac Electrochem 50:153

    Article  Google Scholar 

  13. Ručić I (1983) J Electroanal Chem Interfac Electrochem 144:433

    Google Scholar 

  14. Ručić I (1985) J Electroanal Chem Interfac Electrochem 189:221

    Article  Google Scholar 

  15. Speiser B, Rieker A (1979) J Electroanal Chem Interfac Electrochem 102:1

    CAS  Google Scholar 

  16. Villadsen J, Michelsen M L (1978) Solution of differential equation models by polynomial approximation. Prentice Hall, Englewood Cliffs

    Google Scholar 

  17. Speiser B, Habilitationsschrift, Universität Tübingen, in preparation

    Google Scholar 

  18. Savéant J M, Vianello E (1963) C R Acad Sc Paris 2597

    Google Scholar 

  19. Nicholson R S (1964) Anal Chem 37:667

    Article  Google Scholar 

  20. Olmstead M L, Hamilton R G, Nicholson R S (1969) Anal Chem 41:260

    Article  CAS  Google Scholar 

  21. Amatore C, Saveant J M (1978) J Electroanal Chem Interfac Electrochem 86:227

    Article  CAS  Google Scholar 

  22. Shampine L F, Watts H A, DEPAC package overview, subroutine DDEBDF, SLATEC program library

    Google Scholar 

  23. Moré J J, Garbow B S and Hillstrom K E (1980) User Guide for MINPACK-1, Argonne National Laboratory, Argonne

    Google Scholar 

  24. Magno F, Perosa D, Bontempelli G (1985) Anal Chim Acta 173:211

    Article  CAS  Google Scholar 

  25. Amatore C, Saveant J M (1979) J Electroanal Chem Interfac Electrochem 102:21

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Speiser, B. (1990). Electroanalytical simulations. 10. The simulation of fast second order reactions in electrochemical systems. In: Gasteiger, J. (eds) Software Development in Chemistry 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75430-2_34

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-75430-2_34

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52173-0

  • Online ISBN: 978-3-642-75430-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics