Surface Pressure — Area Isotherms

Surface pressure—area isotherm or π-A isotherm can be defined as a measurement at constant temperature of surface pressure, as a function of the available area for each molecule in a floating monolayer (Langmuir film).

The most important indicator of the monolayer properties of an amphiphilic material is found by measuring the surface pressure as a function of the area of water surface available to each molecule. Usually an isotherm is recorded at constant temperature by compressing the film (with the barriers) at a constant rate while continuously monitoring the surface pressure. Depending on the material, repeated compression and expansion may be necessary to achieve a reproducible trace.

Surface pressure—area isotherms of a Langmuir film and molecules in different phases.

When the monolayer is compressed a number of distinct regions or phases can be seen on an isotherm. The phase behavior of the monolayer is mainly determined by the physical and chemical properties of the amphiphile, the sub-phase temperature and the sub-phase composition. For example, various monolayer states exist depending on the length of the hydrocarbon chain length and the magnitude of other cohesive and repulsive forces. Increased chain length increases the attraction between molecules and condenses the π-A-isotherm. On the other hand, if an ionizable amphiphile is used the ionization of the head groups induces repulsive forces that oppose phase transitions.

A simple terminology used to classify different monolayer phases of fatty acids was proposed by W.D. Harkins in 1952. The monolayers mostly exist in the gaseous state (G) and on compression can undergo a phase transition to the liquid-expanded state (L1). Upon further compression, the L1 phase undergoes a transition to the liquid-condensed state (L2), and at even higher densities the monolayer finally reaches the solid state (S). If the monolayer is further compressed after reaching the S state the monolayer will collapse into three-dimensional structures. The collapse causes a rapid decrease in the surface pressure; this is seen as a horizontal break in the isotherm if the monolayer is in a liquid state.

There are also many other critical points in a π-A-isotherm, such as the molecular area at which an initial, pronounced increase in the surface pressure is observed, Ai, and the surface pressures at which phase transitions occur between the L1 and L2 state and the L2 and S state.


 

Example

Typical isotherms of a fatty acid with a single hydrocarbon chain and a phospholipid with two hydrocarbon chains are illustrated in the graph below. Following the definitions above one can see that the fatty acid has three distinct regions gas (G), liquid (L1) and solid (S), while the phospholipid has an additional almost horizontal transition phase (L2-L1) between the two different liquid phases. This is very common for phospholipids and the position of this horizontal transition phase is very temperature dependent. As the temperature is increased the surface pressure value at which the horizontal transition phase occurs will increase and vice versa.

Isotherms of a fatty acid with a single hydrocarbon chain and a phospholipid with two hydrocarbon chains.