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Determination of the Langmuir and Temkin Adsorption Isotherms of H for the Cathodic H2 Evolution Reaction at a Pt/KOH Solution Interface Using the Phase-Shift Method

  • Chun Jang-H. (Department of Electronic Engineering, Kwangwoon University) ;
  • Jeon Sang-K. (Department of Electronic Engineering, Kwangwoon University) ;
  • Chun Jin-Y. (School of Chemical and Biological Engineering, Seoul National University)
  • Published : 2006.02.01

Abstract

The phase-shift method for determining the Langmuir, Frumkin, and Temkin adsorption isotherms ($\theta_H\;vs.\;E$) of H for the cathodic $H_2$ evolution reaction (HER) at a Pt/0.1 M KOH solution interface has been proposed and verified using cyclic voltammetric, differential pulse voltammetric, and electrochemical impedance techniques. At the Pt/0.1 M KOH solution interface, the Langmuir and Temkin adsorption isotherms ($\theta_H\;vs.\;E$), the equilibrium constants ($K_H=2.9X10^{-4}mol^{-1}$ for the Langmuir and $K_H=2.9X10^{-3}\exp(-4.6\theta_H)mol^{-1}$ for the Temkin adsorption isotherm), the interaction parameters (g=0 far the Langmuir and g=4.6 for the Temkin adsorption isotherm), the rate of change of the standard free energy of $\theta_H\;with\;\theta_H$ (r=11.4 kJ $mol^{-1}$ for g=4.6), and the standard free energies (${\Delta}G_{ads}^{\circ}=20.2kJ\;mol^{-1}$ for $k_H=2.9\times10^{-4}mol^{-1}$, i.e., the Langmuir adsorption isotherm, and $16.7<{\Delta}G_\theta^{\circ}<23.6kJ\;mol^{-1}$ for $K_H=2.9\times10^{-3}\exp(-4.6\theta_H)mol^{-1}$ and $0.2<\theta_H<0.8$, i.e., the Temkin adsorption isotherm) of H for the cathodic HER are determined using the phase-shift method. At intermediate values of $\theta_H$, i.e., $0.2<\theta_H<0.8$, the Temkin adsorption isotherm ($\theta_H\;vs.\;E$) corresponding to the Langmuir adsorption isotherm ($\theta_H\;vs.\;E$), and vice versa, is readily determined using the constant conversion factors. The phase-shift method and constant conversion factors are useful and effective for determining the Langmuir, Frumkin, and Temkin adsorption isotherms of intermediates for sequential reactions and related electrode kinetic and thermodynamic data at electrode catalyst interfaces.

Keywords

References

  1. E. Gileadi (Ed.), 'Electrosorption', Plenum Press, New York, 1967
  2. E. Gileadi, E. Kirowa-Eisner, and J. Penciner, 'Interfacial electrochemistry', Addison-Wesley Pub. Co. Reading, MA, 1975
  3. S. Trasatti, 'Advances in electrochemical science and engineering', Vol. 2, pp. 185, in: H. Gerischer and T. Tobias (Eds.), VCH, New York, 2000
  4. E. Gileadi, 'Electrode kinetics', VCH, New York, 1993
  5. J. O'M. Bockris and S. U. M. Khan, 'Surface electrochemistry', Plenum Press, New York, 1993
  6. B. E. Conway and G. Jerkiewicz (Eds.), 'Electrochemistry and materials science of cathodic hydrogen absorption and adsorption', PV 9421, The Electrochemical Society, Pennington, NJ, 1995
  7. G. Jerkiewicz, 'Hydrogen sorption at/in electrodes', Prog. Surf Sci., 57, 137 (1998)
  8. G. Jerkiewicz, J. M. Feliu, and B. N. Popov (Eds.), 'Hydrogen at surface and interfaces', PV 2000-16, The Electrochemical Society, Pennington, NJ, 2000
  9. J. H. Chun and K. H. Ra, 'The phase-shift method for the Frumkin adsorption isotherms at the $Pd/H_2SO_4$ and KOH solution interfaces', J. Electrochem. Soc., 145, 3794 (1998) https://doi.org/10.1149/1.1838875
  10. J. H. Chun and K. H. Ra, 'Hydrogen at surface and interfaces', in: G. Jerkiewicz, J. M. Feliu, B. N. Popov (Eds.), PV 2000-16, pp. 159-173, The Electrochemical Society, Pennington, NJ, 2000
  11. J. H. Chun, K. H. Ra, and N. Y. Kim, 'The Langmuir adsorption isotherms of electroadsorbed hydrogens for the cathodic hydrogen evolution reactions at the Pt(100)/$H_2SO_4$ and LiOH aqueous electrolyte interfaces', Int. J. Hydrogen Energy, 26, 941 (2001) https://doi.org/10.1016/S0360-5442(00)00049-9
  12. J. H. Chun, S. K. Jeon, and J. H. Lee, 'The phase-shift method for the Langmuir adsorption isotherms of electroadsorbed H for the cathodic $H_2$ evolution reactions at the poly-Pt electrode interfaces', J. Korean Electrochem. Soc., 5, 131 (2002) https://doi.org/10.5229/JKES.2002.5.3.131
  13. J. H. Chun, K. H. Ra, and N. Y. Kim, 'Qualitative analysis of the Frumkin adsorption isotherm of the over-potentially deposited hydrogen at the poly-Ni/KOH aqueous electrolyte interface using the phase-shift method', J. Electrochem. Soc., 149, E325 (2002) https://doi.org/10.1149/1.1497402
  14. J. H. Chun, K. H. Ra, and N. Y. Kim, 'Langmuir adsorption isotherms of over-potentially deposited hydrogen at poly-Au and Rh/ $H_2SO_4$ aqueous electrolyte interfaces: Qualitative analysis using the phase-shift method', J. Electrochem. Soc., 150, E207 (2003) https://doi.org/10.1149/1.1554919
  15. J. H. Chun, K. H. Ra, and N. Y. Kim, Abstracts of the 203rd Electrochemical Society (ECS) Meeting, Vol. 2003-01, Abstract 1270, April 27-May 2, The Electrochemical Society, Paris, France, 2003
  16. J. H. Chun, S. K. Jeon, and N. Y. Kim, Abstracts of the 203rd Electrochemical Society (ECS) Meeting, Vol. 2003-01, Abstract 2332, The Electrochemical Society, April 27-May 2, Paris, France, 2003
  17. J. H. Chun and S. K. Jeon, 'Determination of the equilibrium constant and standard free energy of the over-potentially deposited hydrogen for the cathodic H$_2$ evolution reaction at the Pt-Rh alloy electrode interface using the phase-shift method', Int. J. Hydrogen Energy, 28, 1333 (2003) https://doi.org/10.1016/S0360-3199(03)00003-X
  18. J. H. Chun, 'Methods for estimating adsorption isotherms in electrochemical systems', U.S. Patent, 6613218 (2003)
  19. J. H. Chun and N. Y. Kim, 'Hydrogen treatment of materials. Proceedings of the 4th international conference: HTM-2004', pp. 387-393, International Scientific Committee on Hydrogen Treatment of Materials (HTM), May 17-21, Donetsk-Svyatogorsk, Ukraine, 2004
  20. J. H. Chun, S. K. Jeon, and J. Y. Chun, 'Constant correlation factors between Temkin and Langmuir or Frumkin adsorption isotherms in electrochemical systems', J. Korean Electrochem. Soc., 7, 194 (2004) https://doi.org/10.5229/JKES.2004.7.4.194
  21. J. H. Chun, S. K. Jeon, B. K. Kim, and J. Y. Chun, 'Determination of the Langmuir adsorption isotherms of under- and over-potentially deposited hydrogen for the cathodic $H_2$ evolution reaction at poly-Ir/aqueous electrolyte interfaces using the phase-shift method', Int. J. Hydrogen Energy, 30, 247 (2005) https://doi.org/10.1016/j.ijhydene.2004.03.037
  22. J. H. Chun, S. K. Jeon, K. H. Ra, and J. Y. Chun, 'The phase-shift method for determining Langmuir adsorption isotherms of overpotentially deposited hydrogen for the cathodic $H_2$ evolution reaction at poly-Re/aqueous electrolyte interfaces', Int. J. Hydrogen Energy, 30, 485 (2005) https://doi.org/10.1016/j.ijhydene.2004.04.012
  23. J. H. Chun, S. K. Jeon, N. Y. Kim, and J. Y. Chun, 'The phase-shift method for determining Langmuir and Temkin adsorption isotherms of over-potentially deposited hydrogen for the cathodic $H_2$ evolution reaction at the poly-Pt/$H_2SO_4$ aqueous electrolyte interface', Int. J. Hydrogen Energy, 30, 1423 (2005) https://doi.org/10.1016/j.ijhydene.2004.12.005
  24. J. H. Chun and N. Y. Kim, 'The phase-shift method for determining adsorption isotherms of hydrogen in electrochemical systems', Int. J. Hydrogen energy, 31, 277 (2006) https://doi.org/10.1016/j.ijhydene.2005.04.029
  25. K. Kvastek and V. Horvat-Radosevic, 'Comment on the paper 'Langmuir adsorption isotherms of over-potentially deposited hydrogen at poly-Au and Rh/$H_2SO_4$ aqueous electrolyte interfaces: Qualitative analysis using the phase-shift method' ', J. Electrochem. Soc., 151, L9 (2004) https://doi.org/10.1149/1.1783910
  26. J. H. Chun, K. H. Ra, and N. Y. Kim, 'Response to comment on 'Langmuir adsorption isotherms of over-potentially deposited hydrogen at poly-Au and Rh/$H_2SO_4$ aqueous electrolyte interfaces: Qualitative analysis using the phase-shift method' ', J. Electrochem. Soc., 151, L11 (2004) https://doi.org/10.1149/1.1783911
  27. A. Lasia, 'Comments on 'The phase-shift method for determining Langmuir adsorption isotherms of over-potentially deposited hydrogen for the cathodic $H_2$ evolution reaction at poly-Re/aqueous electrolyte interfaces. Hydrogen Energy, 30 (2005) 485-499' ', Int. J. Hydrogen Energy, 30, 913 (2005) https://doi.org/10.1016/j.ijhydene.2004.04.012
  28. J. H. Chun, S. K. Jeon, N. Y. Kim, and J. Y. Chun, 'Response to comments on 'The phase-shift method for determining Langmuir adsorption isotherms of over-potentially deposited hydrogen for the cathodic $H_2$ evolution reaction at poly-Re/aqueous electrolyte interfaces. Hydrogen Energy, 30 (2005) 485-499' ', Int. J. Hydrogen Energy, 30, 919 (2005) https://doi.org/10.1016/j.ijhydene.2004.04.012
  29. E. Gileadi, E. Kirowa-Eisner, and J. Penciner, 'Interfacial electrochemistry', pp. 6, 72-73, Addison-Wesley Pub. Co. Reading, MA, 1975
  30. D. M. Macarthur, 'Characterization of solid surfaces', pp. 181-201, in: P. F. Kane and G. B. Larrabee (Eds.), Plenum Press, New York, 1978
  31. E. Gileadi, E. Kirowa-Eisner, and J. Penciner, 'Interfacial electrochemistry', pp. 86-93, Addison-Wesley Pub. Co. Reading, MA, 1975
  32. E. Gileadi, 'Electrode kinetics', pp. 293-303, VCH, New York, 1993
  33. E. Gileadi, 'Electrode kinetics', pp. 261-280, VCH, New York, 1993
  34. J. O'M. Bockris and S. U. M. Khan, 'Surface electrochemistry', pp. 280-283, Plenum Press, New York, 1993
  35. J. O'M. Bockris, A. K. N. Reddy, and M. Gamboa-Aldeco, 'Modem electrochemistry', 2nd Ed., Vol. 2A, pp. 1193-1194, Kluwer Academic/Plenum Pub. Co. New York, 2000
  36. D. W. Oxtoby, H. P. Gillis, and N. H. Nachtrieb, 'Principles of modem chemistry', 5th Ed., p. 446, Thomson Learning Inc. 2002
  37. E. Gileadi, 'Electrosorption', pp. 1-18, in: E. Gileadi (Ed.), Plenum Press, New York, 1967
  38. E. Gileadi, 'Electrode kinetics', pp. 307-318, VCH, New York, 1993