Glossary

Adsorption Isotherms

The surface activity of a surfactant or protein is best documented by the so-called adsorption isotherm. This isotherm represents the relationship between the bulk concentration c and the surface excess Γ (adsorption) at the interface. The most simple relationship is the linear Henry isotherm:

Formula

The most frequently used isotherm, however, is the Langmuir isotherm, which contains two physical parameters, a characteristic concentration a at which half of the interface is covered by the surfactant, and the maximum amount that can be adsorbed Γ∞:
Formula

The following schematic shows how Γ is changing with increasing concentration c in the solution bulk.
Scientific Setup

Figure 1: Experimental setup for profile analysis tensiometry.

When a certain bulk concentration of the surfactant is reached and the surface is completely covered so that no further molecules can be adsorbed at the interface, further surfactant molecules form aggregates in the solution bulk, micelles. At this so-called critical micelle concentration CMC, Γ becomes essentially constant, and also the surface tension gamma shows a kink and remains almost constant above the CMC.
Back to Science Glossary