Foam DLVO

Quick Start

What keeps a foam wall from collapsing under van der Waals attractive forces? It's charged heads for ionics and tails (plus a bit of spontaneous charge) for non-ionics. These forces can be captured by a simplified DLVO approach. the aim is to get a positive ("disjoining") pressure, Π, from the charges and steric effects, and to get it at the greatest possible thickness to resist random fluctuations and contamination.

Foam DLVO

Electr. Conc. c mM
Z1
Z2
Scale nm
AH*10-20J
S-Potential ψ mV
Steric Length b nm
S-Charge q mC/m²

Surfactant Science Foam DLVO The surface tension of a foam, though low, is strong enough to drive all the water out of the foam wall into the curved Plateau Borders (which create "Laplace" capillary forces) linking the walls, leading to the collapse of the foam unless something stops the wall from becoming too thin. That "something" is the repulsion ("disjoining pressure") between the surfactant molecules on either side of the wall. Such repulsions (and the van der Waals attractions) are best described via DLVO theory. Providing the disjoining pressure is greater than the Laplace forces that wish to drain the water from the walls, the foam will remain stable.

As we will see, for charged surfactants the repulsions are relatively large at "large" thicknesses (~30-50nm) and the films that are stable at this thickness are called common black films. For nonionic surfactants stability sets in via steric effects at low thicknesses (~5nm) which are Newton black films. Whilst in theory both are stable, it is obvious that the thicker common black films are more stable to minor disruptions than the very thin Newton films. This is one reason why most common household foamy cleaners are made largely of ionics such as SLS or SLES.

DLVO (Derjaguin and Landau, Verwey and Overbeek) theory works very well to describe the pressure v. thickness behaviour of a thin surfactant film in a foam. There are three effects: electrostatic (el), van der Waals (vw) and steric (st). The first two are well-characterised, the third is relevant only for very thin films and is not as well-validated as the others.

The key inputs, given that RT terms are assumed to be at 25°C, are:

  • Molarity, c, and charges of the electrolyte from which the Debye length can be calculated - this is needed for the electrostatic term.
  • Hamaker constant, AH, which can usually be left at 4E-20.
  • Surface Potential, Ψ, which is typically 100mV for ionics and just a few mV (from the water!) for non-ionics. Note that the sign is not included so -100mV for an anionic is entered the same as +100mV for a cationic
  • Steric Length, b, which impacts the steric term. Assume 5nm
  • Surface Charge, q, which impacts the steric term. Set to 0 for no steric term, or 1 as a typical value
  • Scale, in nm, over which to plot

The plot is logarithmic to cover the wide range, but this makes it impossible to show negative values. So a pseudo-log plot is used where negative values don't mean fractions but negative values. So -2 means -100 Pa, not 0.01.

One of the obvious lessons from this model is that the stability of the walls of foams based on ionic surfactants is seriously compromised by a large increase in the concentration of salts in the water. These shield the charges on the head of the surfactant and therefore reduce the mutual repulsion. The other obvious lesson is that non-ionics are stable only at the very thin walls of Newton black films so are less likely to be good, reliable foamers as even low levels of contaminant can break through the delicate film.