Random sequential adsorption on partially covered surfaces

Journal of Chemical Physics - Tập 108 Số 23 - Trang 9851-9858 - 1998
Zbǐgniew Adamczyk1, Paweł Weroński1
1Institute of Catalysis and Surface Chemistry, Polish Academy of Sciences, 30-239, Cracow, ul.Niezapominajek 1, Poland

Tóm tắt

The random sequential adsorption (RSA) approach was used to analyze adsorption of hard spheres at surfaces precovered with smaller sized particles. Numerical simulations were performed to determine the available surface function φl of larger particles for various particle size ratios λ=al/as and surface concentration of smaller particles θs. It was found that the numerical results were in a reasonable agreement with the formula stemming from the scaled particle theory with the modification for the sphere/sphere geometry. Particle adsorption kinetics was also determined in terms of the RSA simulations. By extrapolating the θl vs τ−1/2 dependencies, the jamming concentrations of larger spheres θl∞ were determined as a function of the initial smaller sphere concentration. It was found that θl∞ were considerably reduced by the presence of smaller sized particles, especially for λ≫1. The pair correlation function g of larger particles in the jamming state was also determined, showing more short range ordering (at the same θl) in comparison with monodisperse systems. The theoretical predictions stemming from our calculations suggest that the presence of trace amounts of very small particles may exert a decisive influence on adsorption of larger particles.

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Tài liệu tham khảo

1958, Publ. Math. Inst. Hung. Acad. Sci., 3, 109

1974, Chem. Phys., 3, 288

1986, J. Stat. Phys., 44, 793, 10.1007/BF01011908

1989, J. Chem. Phys., 91, 4401, 10.1063/1.456768

1989, Phys. Rev. A, 4, 4808

1992, J. Chem. Phys., 97, 5219, 10.1063/1.463988

1991, Mol. Phys., 72, 1397, 10.1080/00268979100100981

1996, J. Chem. Phys., 105, 5562, 10.1063/1.472409

1993, Rev. Mod. Phys., 65, 1281, 10.1103/RevModPhys.65.1281

1993, Phys. Rev. Lett., 71, 295, 10.1103/PhysRevLett.71.295

1994, Adv. Colloid Interface Sci., 48, 151, 10.1016/0001-8686(94)80008-1

1989, Phys. Rev. A, 40, 422, 10.1103/PhysRevA.40.422

1991, Phys. Rev. A, 46, 2029

1997, J. Colloid Interface Sci., 185, 236, 10.1006/jcis.1996.4540

1997, J. Colloid Interface Sci., 195, 261, 10.1006/jcis.1997.5162

1959, J. Chem. Phys., 31, 369, 10.1063/1.1730361

1965, J. Chem. Phys., 43, 774, 10.1063/1.1696842

1994, Langmuir, 10, 1663, 10.1021/la00018a009

1966, J. Chem. Phys., 44, 3888, 10.1063/1.1726548