Dilatational viscoelasticities of a nonionic surfactant monolayer are
measured at the air/water interface using the excited-capillary-wave t
echnique. The data are compared with the dif fusion-exchange model for
surfactant adsorption. This model requires the knowledge of the equat
ion of state for the monolayer. We have used the Frumkin equation of s
tate. Although the measured elasticities show the same qualitative tre
nds predicted by the model, their absolute values fall well below the
calculated ones in the diffusion-dominated regime. In order to quantit
atively fit the model to our data, rather high values of the diffusion
coefficient must be used. However, we independently determine the dif
fusion coefficient for this system, via dynamic surface tension measur
ements using the relaxing pendent-drop technique, and our results agre
e with the expected bulk value within the experimental uncertainty. Wh
en the diffusion-model parameters are calculated numerically without a
ssuming any form of equation of state to relate gamma, Gamma, and c, t
he model fits the data with the bulk diffusion coefficient value withi
n experimental uncertainties. This suggests that the current monolayer
equations of state are not able to accurately describe the response o
f a monolayer to small periodic dilatations around equilibrium. (C) 19
95 Academic Press, Inc.