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Application of Statistical Rate Theory of Interfacial Transport to Study Solid Surface Heterogeneity from Controlled-rate Thermal Desorption

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Abstract

Controlled-rate thermodesorption (CRTD) spectra are obtained by adjusting the heating rate in such a way that the rate of desorption can be constant. A quantitative analysis of the obtained spectra is presented, based on application of the statistical rate theory of interfacial transport (SRTIT) to describe both adsorption and desorption kinetics. The SRTIT approach relates the rates of adsorption and desorption to the chemical potentials of the adsorbate in the gaseous and in the adsorbed phases. This quantitative analysis of the CRTD spectra yields the condensation approximation for the actual adsorption energy distribution. For the purpose of illustration, an analysis is made of water desorption from a synthetic apatite mineral under CRTD and classical TPD conditions. The influence of the adsorption and desorption rates is also discussed.

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References

  1. M. Jaroniec and R. Madey (Eds.), Physical Adsorption on Heterogeneous Solids, Elsevier, Amsterdam 1988.

    Google Scholar 

  2. W. Rudzinski and D. H. Everett (Eds.), Adsorption of Gases on Heterogeneous Surfaces, Academic Press, London 1992.

    Google Scholar 

  3. Y. Amenomiya and R. J. Cvetanovic, J. Phys. Chem., 67 (1963) 144.

    CAS  Google Scholar 

  4. R. J. Cvetanovic and Y. Amenomiya, Adv. Catal., 17 (1967) 320.

    Google Scholar 

  5. R. J. Cvetanovic and Y. Amenomiya, Catal. Rev., 6 (1972) 21.

    CAS  Google Scholar 

  6. I. L. Falconer and I. A. Schwarz, Catal. Rev.-Sci. Eng., 25 (1983) 141.

    CAS  Google Scholar 

  7. I. L. Lemaitre, in F. Delannay (Ed.) Characterization of Heterogeneous Catalysts, Marcell Dekker Inc., New York 1984, Chapt. 2.

    Google Scholar 

  8. S. Bhatia, I. Beltramini and D. D. Do, Catal. Today, 8 (1990) 309.

    Article  Google Scholar 

  9. S. J. Lombardo and A. T. Bell, Surf. Sci. Rep., 13 (1991) 1.

    Article  CAS  Google Scholar 

  10. J. Rouquerol J., J. Thermal Anal., 2 (1970) 123.

    Article  CAS  Google Scholar 

  11. J. Rouquerol J., J. Thermochim. Acta, 144 (1989) 209.

    Article  CAS  Google Scholar 

  12. J. Rouquerol, S. Bordère and F. Rouquerol, Thermochim Acta, 203 (1992) 193.

    Article  CAS  Google Scholar 

  13. L. Erdey, F. Paulik and J. Paulik, Hungarian Patent No 152197, registered 31 October 1062, published 1 December 1965.

  14. J. Paulik and F. Paulik, in Svehla (Ed.) Comprehensive Analytical Chemistry, Elsevier, Amsterdam, 1981, Vol. XII, Part A., p. 48.

    Google Scholar 

  15. F. Paulik and J. Paulik, Thermochim. Acta, 100 (1986) 23.

    Article  CAS  Google Scholar 

  16. A. Clark (Ed.), The Theory of Adsorption and Catalysis, Academic Press, London 1970.

    Google Scholar 

  17. V. P. Zhdanov, Surf. Sci. Rep., 12 (1991) 183.

    Article  CAS  Google Scholar 

  18. E. G. Secbauer, A. C. F. Kong and L. D. Schmidt, Surf. Sci., 193 (1988) 417.

    Article  Google Scholar 

  19. P. Kisliuk, J. Phys. Chem. Solids, 3 (1957) 95.

    Article  CAS  Google Scholar 

  20. D. A. King, Surf. Sci., 64 (1977) 43.

    Article  CAS  Google Scholar 

  21. R. Gorte and L. D. Schmidt, Surf. Sci., 76 (1978) 559.

    Article  CAS  Google Scholar 

  22. K. Nagai, Phys. Rev. Lett., 54 (1985) 2159.

    Article  CAS  Google Scholar 

  23. K. Nagai, Surf. Sci., 176 (1986) 193.

    Article  CAS  Google Scholar 

  24. J. H. de Boer, Adv. Catal., 8 (1956) 89.

    Google Scholar 

  25. K. Nagai and A. Hirashima, Surf. Sci., 171 (1986) L464.

    Article  CAS  Google Scholar 

  26. A. Cassuto, Surf. Sci., 203 (1988) L656.

    Article  CAS  Google Scholar 

  27. K. Nagai, Surf. Sci., 203 (1988) L659.

    Article  CAS  Google Scholar 

  28. K. Nagai, Surf. Sci. Lett., 224 (1991) L147.

    Article  Google Scholar 

  29. H. J. Kreuzer and S. H. Payne, Surf. Sci., 198 (1988) 235; Surf. Sci., 200 (1988) L433.

    Article  CAS  Google Scholar 

  30. S. H. Payne and H. J. Kreuzer, Surf. Sci., 205 (1988) 153; Surf. Sci., 222 (1989) 404.

    Article  CAS  Google Scholar 

  31. H. J. Kreuzer and S. H. Payne, in C. T. Rettner and M. N. R. Ashfold (Eds.) Dynamics of Gas-Surface Interaction, The Royal Society of Chemistry, Thomas Graham House, Science Park, Cambridge 1991, Chapt. 6.

    Google Scholar 

  32. H. J. Kreuzer and S. H. Payne, in W. Rudzinski et al. (Eds.) Equilibria and Dynamics of Gas Adsorption on Heterogeneous Solid Surfaces, Elsevier, Amsterdam 1977, p. 153.

    Google Scholar 

  33. C. A. Ward and R. D. Findlay, J. Chem. Phys., 76 (1982) 5615.

    Article  CAS  Google Scholar 

  34. J. A. Eliot and C. A. Ward, in W. Rudzinski et al. (Eds.) Equilibria and Dynamics of Gas Adsorption on Heterogeneous Solid Surfaces, Elsevier, Amsterdam 1997, p. 285.

    Google Scholar 

  35. C. A. Ward and M. Elmoselhi, Surf. Sci., 176 (1986) 457.

    Article  CAS  Google Scholar 

  36. Y. Grillet, J. M. Cases, M. François, J. Rouquerol and J. E. Poirier, Clays and Clay Minerals, 36 (1988) 233.

    CAS  Google Scholar 

  37. J. M. Cases, Y. Grillet, M. François, L. Michot, F. Villiéras and J. Yvon, Clays and Clay Minerals, 39 (1991) 191.

    CAS  Google Scholar 

  38. I. Berend, J. M. Cases, M. François, J. P. Uriot, L. J. Michot, A. Masion and F. Thomas, Clays and Clay Minerals, 43 (1995) 324.

    CAS  Google Scholar 

  39. J. M. Cases, I. Berend, M. François, J. P. Uriot, L. J. Michot and F. Thomas, Clays and Clay Minerals, 45 (1997) 8.

    CAS  Google Scholar 

  40. L. J. Michot, F. Villiėras, M. François, J. Yvon, R. Le Dred and J. M. Cases, Langmuir, 10 (1994) 3765.

    Article  CAS  Google Scholar 

  41. L. J. Michot, F. Didier, F. Villiéras and J. M. Cases, Polish J. Chem., 71 (1997) 665.

    CAS  Google Scholar 

  42. M. J. Torralvo, Y. Grillet, F. Rouquerol and J. Rouquerol, J. Thermal Anal., 41 (1994) 1529.

    CAS  Google Scholar 

  43. W. Rudzinski, in W. Rudzinski et al. (Eds.) Equilibria and Dynamics of Gas Adsorption on Heterogeneous Solid Surfaces, Elsevier, Amsterdam 1997, p. 335.

    Google Scholar 

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Authors and Affiliations

  1. Laboratoire Environnement et Minéralurgie, INPL et UMR 7569 du CNRS, Ecole Nationale Supérieure de Géologie, BP 40, 54 500, Vandoeuvre les Nancy, France

    F. Villiéras, L. J. Michot, G. Gérard & J. M. Cases

  2. Department of Theoretical Chemistry, Faculty of Chemistry, Maria Curie-Skłodowska University, Pl. Marii Curie-Skłodowskiej 3, Lublin, 20-031, Poland

    W. Rudzinski

Authors
  1. F. Villiéras
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  2. L. J. Michot
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  3. G. Gérard
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  4. J. M. Cases
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  5. W. Rudzinski
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Villiéras, F., Michot, L.J., Gérard, G. et al. Application of Statistical Rate Theory of Interfacial Transport to Study Solid Surface Heterogeneity from Controlled-rate Thermal Desorption. Journal of Thermal Analysis and Calorimetry 55, 511–530 (1999). https://doi.org/10.1023/A:1010197903581

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