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Extra resources for Chemical Engineering Kinetics (McGraw-Hill Chemical Engineering Series)
Academic Press, 2. CHARGE AND POTENTIAL DISTRIBUTION AT INTERFACE 57 New York and London. Henderson, D. and Blum, L. (1978). J. ElectroanaL Chem. 93, 151. Hoskin, N. E. (1953). Trans. Faraday Soc. 49, 1471. Hunter, R. J. (1966). J. Colloid Interface Sci. 22, 231. Hunter, R. J. and Wright, H. J. L. (1971). J. Colloid Interface Sci. 37, 564. Krylov, V. S. and Levich, V. G. (1963). Russian J. Phys. Chem. 37, , 1224. Levine, S. (1939). J. Chem. Phys. 7, 831. Levine, S. (1971). J. Colloid Interface Sci.
38)). The solutions to the two regions are matched at the boundary so that φ and αψ/dr are continuous. The resulting analytical approximation has been shown by van der Drift et al. 38) with an accuracy which is always better than 3-5% and usually much better than 1 % for z = 1. 3). 38) to obtain the potential function. 40). 4. Note that β is always greater than unity, which means that the linearized equation always overestimates the potential corresponding to a given charge on the cylinder. 7. The double diffuse layer In some situations it is thought that the space charge may be distributed in a diffuse layer in both phases.
It is possible that this behaviour is due to the presence of a highly disordered (gel-like) layer on the oxide surface (Lyklema, 1968), and mathematical models of this type of boundary, not unlike the simple model treated above, have recently been developed (Levine et ai, 1972; Perram et ai, 1974); these too will be treated in Chapter 7. References Abraham-Shrauner, B. (1973). J. Colloid Interface Sci. 44, 79. Abraham-Shrauner, B. (1975). J. Colloid Interface Sci. 53, 499. Abramson, H. , Moyer, L.