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.
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References
M. D. Greenfield and D. N. Theodorou,Macromolecules,26, 961–996 (1993).
R. Bieshaar, A. Geiger, and N. N. Medvedev,Mol. Simul.,15, 189–196 (1995).
H. Tanaka,Chem. Phys. Lett,282, 133–138 (1997).
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.
L. K. Frevel and L. J. Kressley,Analit. Chem.,35, 1492–1502 (1963).
A. P. Karnaukhov,Kinet. Catal.,12, 1025–1235 (1971).
S. Sahimi,Application of Percolation Theory, Taylor & Francis, New York (1994), p. 252.
V. P. Zhdanov, V. B. Fenelonov, and D. K. Efremov,J. Colloid. Interface Sci.,120, 218–231 (1987).
V. P. Voloshin, N. N. Medvedev, V. B. Fenelonov, and V. N. Parmon,Dokl. Ross. Akad. Nauk,364, No. 3, 337–341 (1999).
J. Feder and I. Giaver,J. Colloid Interface Sci.,78, 144–152 (1980).
L. Oger, A. Gervois, J. P. Troadec, and N. Rivier,Philosophical Magazine B,74(2), 177–197 (1996).
M. P. Allen and D. J. Tildesley,Computer Simulation of Liquids, Clarendon, Oxford (1987), p. 386.
J. D. Bernai,Proc. R. S. London,A280, 299–320 (1964).
B. A. Luchnikov, N. N. Medvedev, Yu. L. Naberukhin, and V. N. Novikov,Phys. Rev. B,51, 15569–15572 (1995).
G. F. Voronoi,J. Reine Angew. Math.,134, 198–287 (1908);136, 67–181 (1909).
J. L. Finney,R. S. London,319, 479–507 (1970).
M. Kimura and F. Yonezawa,J. Non-Cryst. Solids,61/62, 535–543 (1984).
K. Ridgway and K. J. Turbuk,British Chem. Eng.,12, No. 3, 384–388 (1967).
G. Mason,J. Colloid Interface Sci.,41, No. 2, 208–227 (1972).
N. N. Medvedev, Doctoral Dissertation, Computer Center, Siberian Branch, Russian Academy of Sciences, Novosibirsk (1996).
N. N. Medvedev,Dokl. Ross. Akad. Nauk,337, No. 6, 767–771 (1994).
S. Sastry, D. S. Corti, P. G. Debenedetti, and F. H. Stillinger,Phys. Rev. E,56(5), 5524–5532 (1997).
S. Bryant and M. Blunt,Phys. Rev.,46, No. 4, 2004–2011 (1992).
K. E. Thompson and H. S. Fogler,AIChE Journal,43(6), 1377–1389 (1997).
G. Mason and D. W. Mellor,J. Colloid Interface Sci.,176(1), 214–225 (1995).
A. R. Kerstein,J. Phys. A: Math. Gen.,16, 3017–3065 (1983).
S. J. Gregg and K. S. W. Sing,Adsorption, Surface Area and Porosity, Academic Press, London (1982), p. 430.
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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
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DOI: https://doi.org/10.1007/BF02700718