Skip to main content
Log in

Pore structure study by computer simulation of dense and loose packings of spherical particles

  • Published:
Journal of Structural Chemistry Aims and scope Submit manuscript

Abstract

Packings of spherical particles modeling monodisperse silica gels of varying density are constructed by the Monte Carlo method. Each model contains 8000 particles in a cube with periodic boundary conditions. Models with densities (extents of space filling) η = 0.59 and η = 0.37 were studied in detail. For quantitative analysis of the structure of empty interparticle space, Voronoi-Delaunay geometrical constructions are used. By analogy with the mercury porosimetry method, the “intrusion” curves, indicating the fraction of the pore volume accessible for a probe of the given size are built. The results of a standard analysis of these curves and the real arrangement of interparticle space in these models are discussed. The approach using the numerical simulation and the geometrical method suggested for model analysis is a promising trend in structural studies of porous materials.

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.

Similar content being viewed by others

References

  1. M. D. Greenfield and D. N. Theodorou,Macromolecules,26, 961–996 (1993).

    Article  Google Scholar 

  2. R. Bieshaar, A. Geiger, and N. N. Medvedev,Mol. Simul.,15, 189–196 (1995).

    Article  CAS  Google Scholar 

  3. H. Tanaka,Chem. Phys. Lett,282, 133–138 (1997).

    Article  Google Scholar 

  4. V. A. Dzisko, A. P. Karnaukhov, and D. V. Tarasova,Physicochemical Foundations for the Synthesis of Oxide Catalysts [in Russian], Nauka, Novosibirsk (1978), pp. 231–277.

    Google Scholar 

  5. L. K. Frevel and L. J. Kressley,Analit. Chem.,35, 1492–1502 (1963).

    Article  CAS  Google Scholar 

  6. A. P. Karnaukhov,Kinet. Catal.,12, 1025–1235 (1971).

    CAS  Google Scholar 

  7. S. Sahimi,Application of Percolation Theory, Taylor & Francis, New York (1994), p. 252.

    Google Scholar 

  8. V. P. Zhdanov, V. B. Fenelonov, and D. K. Efremov,J. Colloid. Interface Sci.,120, 218–231 (1987).

    Article  CAS  Google Scholar 

  9. V. P. Voloshin, N. N. Medvedev, V. B. Fenelonov, and V. N. Parmon,Dokl. Ross. Akad. Nauk,364, No. 3, 337–341 (1999).

    CAS  Google Scholar 

  10. J. Feder and I. Giaver,J. Colloid Interface Sci.,78, 144–152 (1980).

    Article  CAS  Google Scholar 

  11. L. Oger, A. Gervois, J. P. Troadec, and N. Rivier,Philosophical Magazine B,74(2), 177–197 (1996).

    Article  CAS  Google Scholar 

  12. M. P. Allen and D. J. Tildesley,Computer Simulation of Liquids, Clarendon, Oxford (1987), p. 386.

    Google Scholar 

  13. J. D. Bernai,Proc. R. S. London,A280, 299–320 (1964).

    Article  Google Scholar 

  14. B. A. Luchnikov, N. N. Medvedev, Yu. L. Naberukhin, and V. N. Novikov,Phys. Rev. B,51, 15569–15572 (1995).

    Article  CAS  Google Scholar 

  15. G. F. Voronoi,J. Reine Angew. Math.,134, 198–287 (1908);136, 67–181 (1909).

    Google Scholar 

  16. J. L. Finney,R. S. London,319, 479–507 (1970).

    CAS  Google Scholar 

  17. M. Kimura and F. Yonezawa,J. Non-Cryst. Solids,61/62, 535–543 (1984).

    Article  Google Scholar 

  18. K. Ridgway and K. J. Turbuk,British Chem. Eng.,12, No. 3, 384–388 (1967).

    CAS  Google Scholar 

  19. G. Mason,J. Colloid Interface Sci.,41, No. 2, 208–227 (1972).

    Article  CAS  Google Scholar 

  20. N. N. Medvedev, Doctoral Dissertation, Computer Center, Siberian Branch, Russian Academy of Sciences, Novosibirsk (1996).

    Google Scholar 

  21. N. N. Medvedev,Dokl. Ross. Akad. Nauk,337, No. 6, 767–771 (1994).

    CAS  Google Scholar 

  22. S. Sastry, D. S. Corti, P. G. Debenedetti, and F. H. Stillinger,Phys. Rev. E,56(5), 5524–5532 (1997).

    Article  CAS  Google Scholar 

  23. S. Bryant and M. Blunt,Phys. Rev.,46, No. 4, 2004–2011 (1992).

    Article  CAS  Google Scholar 

  24. K. E. Thompson and H. S. Fogler,AIChE Journal,43(6), 1377–1389 (1997).

    Article  CAS  Google Scholar 

  25. G. Mason and D. W. Mellor,J. Colloid Interface Sci.,176(1), 214–225 (1995).

    Article  CAS  Google Scholar 

  26. A. R. Kerstein,J. Phys. A: Math. Gen.,16, 3017–3065 (1983).

    Article  Google Scholar 

  27. S. J. Gregg and K. S. W. Sing,Adsorption, Surface Area and Porosity, Academic Press, London (1982), p. 430.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Voloshin, V.P., Medvedev, N.N., Fenelonov, V.B. et al. Pore structure study by computer simulation of dense and loose packings of spherical particles. J Struct Chem 40, 554–562 (1999). https://doi.org/10.1007/BF02700718

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02700718

Keywords

Navigation