Electrostatic Interactions of Bodies Bearing Thin Double‐Layers I. General Formulation

Wiley - Tập 94 Số 12 - Trang 1483-1492 - 1990
Zbǐgniew Adamczyk1,2, P. Belouschek1, David J. Lorenz1
1Institut für Physikalische Chemie, Universität Essen, Universitätstraße 5–7, 4300 Essen, Federal Republic of Germany
2Institute of Catalysis and Surface Chemistry, Polish Academy of Science, 30-239 Krakǒw, ul. Niczapominajch 1, Poland.

Tóm tắt

AbstractThe modified Poisson‐Boltzmann (PB) equation was formulated for a system of flat dissimilar double‐layers by considering the excluded volume effect. Limiting solutions of the modified PB equation derived for an isolated plate, and for two‐plate system at large and small separations and arbitrary electrolyte composition were discussed. Results obtained for the parallel‐plate geometry were generalized to regularly shaped bodies (either convex or concave around their contact point) bearing thin double‐layers by applying the surface integration procedure analogous to the Derjaguin summation method. The excluded volume effect proved to be important for the dimensionless parameter β larger than 10−2 leading to a considerable increase of the potential difference across double‐layers and to a slight increase of the interaction force between bodies at large separations. At small separations, however, the force remains finite due to the excluded volume effect (in the constant charge model) in contrast to previous results predicting that the force should tend to infinity in this limit. It was also predicted that the presence of trace amount of polyvalente ions (e.g., Al3+ ion) decreased considerably the force between bodies immersed in a 1–1 electrolyte.

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Tài liệu tham khảo

10.1039/tf9403500203

Derjaguin B. V., 1941, Acta Physicochim., 14, 633

Vervey E. J. W., 1948, Theory of Stability of Lyophobic Colloids

10.1524/zpch.1955.3.3_4.135

10.1039/tf9575300143

10.1063/1.1731401

Stillinger F. H., 1911, J. Chem. Phys., 39

Wicke E., 1952, Z. Electrochem., 56, 551

10.1021/j150519a007

Brodowsky H., 1950, Z. Electrochem., 63, 262

10.1002/recl.19580770911

10.1063/1.1748233

10.1063/1.1742940

10.1016/0021-9797(78)90368-5

10.1016/0021-9797(78)90369-7

Prigogine I., 1953, J. Chim. Phys., 50, 146, 10.1051/jcp/1953500146

10.1021/j100838a019

10.1039/df9664200069

G. M.BellandS.Levine “Chemical Physics of Ionic Solutions” pp.409–461 ed. Conwey and Barrados Wiley & Sons1966.

10.1016/0021-9797(75)90085-5

W. E.Williams Proc. Phys. Soc.A 66 372(1953).

D.Lorenz Z.Adamczyk andP.Belouschek Colloid Surf.accepted.

P.Belouschek D.Lorenz andZ.Adamczyk Proceedings Kolloid Tagung p.A1–6 Bochum1989.

Z.Adamczyk D.Lorenz andP.Belouschek Bull. Pol. Ac. Sci.in press.

10.1080/14786440408634187

10.1016/0021-9797(70)90228-6

10.1016/0021-9797(72)90253-6

10.1016/0021-9797(87)90435-8

10.1016/0021-9797(80)90445-2

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Wiley

Tập 94 Số 12

1483-1492

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