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New PDF release: Colloid Science Volume 4

By Royal Society of Chemistry Staff

ISBN-10: 0851865380

ISBN-13: 9780851865386

ISBN-10: 1847555861

ISBN-13: 9781847555861

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Additional info for Colloid Science Volume 4

Example text

28 Colloid Science Table 2 Summary of investigations of generalized total isotherm functions Local isotherm Langmuir Total isotherm Method Ref. Generalized Freundlich: 6,= {p/(p +A")}'/" where A" is the temperature-dependent constant of the Langmuir equation and l / n < 1 is a constant log cp, where A and c are constants Langmuir Temkin-Pyzhev: 6, Langmuir Linear combination of Freundlich isotherms: =A ST a ST a ST b ST CA j 1=1 for k > 1 and B = A' exp(- U J R T ) , where A" is the Langmuir constant [equation (Fig)] and U , the minimum adsorption energy Langmuir Dubinin-Radushkevich (DR): OT= {exp[-B(RT1 In p/pJ21 for P P, for P>Prn' where B and P , are constants.

1962, 36, 1334. ” I. D. Morrison and S. Ross, Surf. , 1973, 39, 21. “ 69 Adsorption on Heterogeneous Surfaces 19 expressed as:81*82 and generally is not a simple function of the adsorbate concentration. As the adsorbate concentration increases from zero the isosteric enthalpy is expected to increase from its limiting value, q;, owing to adsorbate self-attractive interactions. Generally residual heterogeneity manifests itself by a decrease in qst from qg at low coverages followed by an increase as the high-energy sites become saturated and adsorbate self-interactions begin to dominate.

1972, 38, 285. D. S. , 1969, 235, 1214. M. JaronieC, Colloid Polym. , 1976, 254, 601. 24 Colloid Science adsorbed molecules, respectively (it is usual to assume fg=fa). fi and fx, are the partition functions for the perpendicular vibrational motion of the adsorbate and the two degrees of motion parallel to the surface, respectively. JovanoviC argues that his equation is applicable to both localized and mobile adsorption. The difference lies in the evaluation of A"; in the case of localized adsorption the low-temperature limit of equation (76) yields equation (69) and U replaces U" in equation (75).

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Colloid Science Volume 4 by Royal Society of Chemistry Staff

by Charles

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