Fluctuation of the number of adsorbed particles analyzed by a virial expansion: Comparison between experiment and theory

Journal of Chemical Physics - Tập 102 Số 12 - Trang 5077-5081 - 1995
P. Schaaf1, P. Wojtaszczyk2, Elizabeth K. Mann3, Bernard Senger3, J.‐C. Voegel3, Dick Bedeaux4
1Institut Charles Sadron, 6, rue Boussingault, 67083 Strasbourg Cedex, France and Ecole Européenne des Hautes Etudes des Industries Chimiques, URA 405 (CNRS), B.P. 296F, 1, rue Blaise Pascal, 67008 Strasbourg Cedex, France
2Institut Charles Sadron, 6, rue Boussingault, 67083 Strasbourg Cedex, France
3Institut National de la Santé de la Recherche Médicale, Unité 424, Centre de Recherches Odontologiques, Université Louis Pasteur 1, place de l’Hôpital, 67000 Strasbourg, France
4Department of Physical and Macromolecular Chemistry, Leiden University, Gorlaeus Laboratories, P.O. Box 9502, 2300 RA Leiden, The Netherlands

Tóm tắt

The irreversible random adsorption of particles on a surface is guided by the available surface function φ. The relative fluctuation σ2/〈n〉 in the number of particles n in a finite region provides one characterization of the distribution of these particles on the surface. We show rigorously that the two quantities are given by the same expression to first order in the surface coverage, for any irreversible adsorption process. This is confirmed in two particular cases: for random sequential adsorption, where values for σ2/〈n〉 from numerical simulations can be compared to an analytic expression for φ, and for Ballistic deposition, where experimental values for deposition under a strong gravitational influence can also be compared to an existing analytical expression for φ.

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Journal of Chemical Physics

Tập 102 Số 12

5077-5081

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