DLVO theory can be applied to the bulk nanobubbles in SDS or CTAB surfactants solutions?
The first experimental proof of the DLVO theory was for foam films with ionic surfactants by Sheludko in the 1950's, so surely DLVO can be applied to nanobubbles.
However, for nanobubbles, once the size of the bubble approaches the Debye length, one has to take into account the charge regulation (i.e. the effect of curvature on the surface charge).
k-1 = (ewe0kbT)/(2NAIe2 ), here k-1, ew, e0, kb, T, NA, I, and e refers Debye length, relative permittivity of the medium at a given temperature, vacuum permittivity, Boltzman constant, Temperature, Avogadro’s number, and ionic concentration, respectively. How to determine the ionic concentration of the ionic surfactant, i.e., SDS?
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