There is a theory created by Andrei Dukhin and Ren Xu that explains existence of the stable nanobubbles as a result of interaction between
structured interfacial water layer and
electric double layer. The hypothesis of water molecules structuring at hydrophobic interfaces exists for more than century with dozens of papers published on this subject, some of them reviewed in the book . It was confirmed with several measuring techniques: Atomic force microscopy, Sum frequency generation spectroscopy , Raman spectroscopy , Ultrasound . There are also many studies revealing electric charges on the nanobubbles interfaces leading to formation of
electric double layer characterized with certain
zeta potential (ζ). We reproduce here results of the paper by Meegoda et al (see Figure on the right) because it illustrates correlation between bubble diameter and zeta potential proving importance of this parameter. The red line represents result of theory . Individually, neither of these interfacial layers can explain nanobubbles longevity. However, their interaction can, as it is shown in the paper . This interaction leads to the two new surface forces. The normal force is exerted by inhomogeneous electric field of
EDL on the oriented water molecules dipole moments. The name
dielectrostatic was assigned to this force. It turns out that it compensates for the other normal force caused by Young-Laplace excessive pressure in the bubble.Balance of these two normal forces determines size of the stable nanobubble
as according to the following equation: : \ a_s = \frac{2\gamma}{MLNd_w\zeta\kappa^2} where
M=55500 is number of moles of water in 1
m3,
N is
Avogadro number,
dw is dipole moment of the water molecule,
ζ is zeta potential of the bubble,
κ is reciprocal
Debye length. Parameter
L is a thickness of the structured water layer. It equals approximately 0.24 nm for monolayer. Assumption of two layers of the structured water molecules leads to the nanobubble stable size of 250 nm, as shown on the Figure above as a red line. This can be considered as an experimental support of this theory. There is one more experimental fact supporting validity of this theory. The nanobubble size is reciprocal proportional to zeta potential according to the Figure above. The same dependence is predicted by the theory according to the equation for the stable nanobubble size. The tangential force balance is achieved due to the additional tangential surface force - the repulsion of the of the oriented water molecules dipole moments. It competes with classical surface tension. It was shown that this new surface force is sufficient for compensating for the surface tension in the paper . == Properties ==