caa a22 4500 475764927 CHVBK 20180406123602.0 cr unu---uuuuu 170329e20000201xx s 000 0 eng 10.1007/s003960050021 doi (NATIONALLICENCE)springer-10.1007/s003960050021 Diffusion-controlled adsorption kinetics at the air/solution interface [Elektronische Daten] [J. Liu, U. Messow]  To describe diffusion-controlled adsorption, the diffusion equation is solved under different initial and boundary conditions by means of a Laplace transformation. By solving this equation, it has been found that the solution, which Ward and Tordai used, is only applicable for x>0; therefore, it is incorrect if the derivation is made at x = 0. Ward and Tordai did not notice this and the first derivation was made at x = 0 in order to get the dynamic surface adsorption, Γ(t). In this paper, an accurate solution, which is applicable for x≥ 0, is given and the expression for Γ(t) is obtained. Furthermore the relationship between the dynamic surface tension and Γ(t) is derived. As an example, the dynamic surface tensions of an aqueous octyl-β-d-glucopyranosid solution were measured by means of the maximum bubble pressure method. By using the derived theory it has been proved that the controlling mechanism of the adsorption process of this surfactant at the long-time-adsorption limits changes as a function of the bulk concentration; only at dilute concentration is it controlled by diffusion. Springer-Verlag Berlin Heidelberg, 2000 Key words Diffusion-controlled adsorption kinetics nationallicence Dynamic surface tension nationallicence Maximum bubble pressure method nationallicence Air/solution interface nationallicence Liu J. Wilhelm Ostwald Institute of Physical and Theoretical Chemistry Leipzig University, Linnéstrasse 2 D-04103 Leipzig, Germany e-mail: messow@sonne.tachemie.uni-leipzig.de Tel.: +49-341-97 36478 Fax: +49-341-97 36399, DE aut Messow U. Wilhelm Ostwald Institute of Physical and Theoretical Chemistry Leipzig University, Linnéstrasse 2 D-04103 Leipzig, Germany e-mail: messow@sonne.tachemie.uni-leipzig.de Tel.: +49-341-97 36478 Fax: +49-341-97 36399, DE aut https://doi.org/10.1007/s003960050021 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s003960050021 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Liu J. Wilhelm Ostwald Institute of Physical and Theoretical Chemistry Leipzig University, Linnéstrasse 2 D-04103 Leipzig, Germany e-mail: messow@sonne.tachemie.uni-leipzig.de Tel.: +49-341-97 36478 Fax: +49-341-97 36399, DE aut NATIONALLICENCE 700 1- Messow U. Wilhelm Ostwald Institute of Physical and Theoretical Chemistry Leipzig University, Linnéstrasse 2 D-04103 Leipzig, Germany e-mail: messow@sonne.tachemie.uni-leipzig.de Tel.: +49-341-97 36478 Fax: +49-341-97 36399, DE aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer