Calculations of van der Waals forces in thin liquid films using Lifshitz' theory

Donners, W. A. B.; Rijnbout, J.B; Vrij, A.

doi:10.1016/0021-9797(77)90319-8

Cited by 66 publications

(22 citation statements)

References 22 publications

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“…This calculation can easily be generalized to an arbitrary number of electrolyte free layers simply by calculating recursively the value of B(p) generated by the composition of all the layers before arriving at the penultimate layer before the film. In the case of no surface interaction and no electrolyte this result agrees with the calculation of the zero frequency contribution to the van der Waals force in [8,29].…”

Section: The Triple Layersupporting

confidence: 88%

“…The total length of the system in the z direction is denoted by U and therefore T = U − L. To start with, we ignore the fact that just outside the surface one has a density of hydrocarbon tails (this will be taken into account very simply later on). The calculation for a triple layer in the absence of surface charging and electrolyte can be found in [27,29]. In this two layer picture therefore, the dielectric constant has the form ǫ(x) = ǫ for x ∈ A × L where ǫ is the dielectric constant of the electrolyte solution, which in the dilute limit we shall take to be the dielectric concentration of water.…”

Section: The Model and Surface-charging Mechanismsmentioning

confidence: 99%

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Electrostatic fluctuations in soap films

Dean

Horgan

2002

Phys. Rev. E

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A field theory to describe electrostatic interactions in soap films, described by electric multilayers with a generalized thermodynamic surface-charging mechanism, is studied. In the limit where the electrostatic interactions are weak, this theory is exactly soluble. The theory incorporates in a consistent way, the surface-charging mechanism and the fluctuations in the electrostatic field that correspond to the zero-frequency component of the van der Waals force. It is shown that these terms lead to a Casimir-like attraction that can be sufficiently large to explain the transition between the common black film to a Newton black film.

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Section: The Triple Layersupporting

confidence: 88%

Section: The Model and Surface-charging Mechanismsmentioning

confidence: 99%

Electrostatic fluctuations in soap films

Dean

Horgan

2002

Phys. Rev. E

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“…However, because of eq. ( 36), "lateral" and "vertical" contributions should be considered simultaneously, at least in principle, as hinted already long ago [5]: On the basis of a numerical study of van der Waals attractions indicating that the Hamaker constant actually depends on surface coverage [57], it was then suggested that the optimal coverage Γ opt not only depends on φ 0 , but could also depend on film thickness even though any "significant dependence" was ruled out [5].…”

Section: Peristaltic Fluctuationsmentioning

confidence: 99%

Surfactant films in lyotropic lamellar (and related) phases: Fluctuations and interactions

Nallet

2017

Advances in Colloid and Interface Science

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The analogy between soap films thinning under border capillary suction and lamellar stacks of surfactant bilayers dehydrated by osmotic stress is explored, in particular in the highly dehydrated limit where the soap film becomes a Newton black film. The nature of short-range repulsive interactions between surfactant-covered interfaces and acting across water channels in both cases will be discussed.

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“…P, is experimentally measured and//vw is estimated using a model for molecular interactions applicable to foam films. For the lack of a suitable model for a precise, and, at the same time, comparatively simple calculation of van der Waals interactions in foam films stabilized with phospholipids,//vw can be estimated using the empirical equation proposed by Donners et al (1977) for foam films stabilized with amphiphilic surface active substances. This equation is a result of numerically solving the complete equations of the macroscopic theory of van der Waals attraction in films (Dzyaloshinskii et al 1961) where the film structure is taken into consideration and the frequency dependence of the permittivity is estimated according to the method proposed by Ninham and Parsegian (1970).…”

Section: = Oj + H~omentioning

confidence: 99%

Direct measurement of interaction forces in free thin liquid films stabilized with phosphatidylcholine

et al. 1991

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Microscopic foam films from suspensions of small unilamellar dimyristoylphosphatidylcholine (DMPC) vesicles have been obtained. The film formation is facilitated at temperatures above the gel-liquid crystalline transition of DMPC. A detailed study of the dependence of equilibrium thickness of DMPC foam films on electrolyte concentration at constant capillary pressure and a direct measurement of the disjoining pressure isotherm has been carried out. Formation of thick equilibrium horizontal microscopic films stabilized with DMPC at low external pressures and low electrolyte concentrations was found and interpreted as being due to the existence of long-range electrostatic interactions in these films. A diffuse electric layer potential of 36 mV has been calculated. The DMPC films have been compared to films obtained from non-ionic surfactant solutions where the long range electrostatic repulsion is explained as being due to specific adsorption of OH-at the film interfaces. However, unlike the results obtained for surfactant films, in this study formation of common black films and thinning of the DMPC Newton film with pressure have been observed.

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Calculations of van der Waals forces in thin liquid films using Lifshitz' theory

Cited by 66 publications

References 22 publications

Electrostatic fluctuations in soap films

Electrostatic fluctuations in soap films

Surfactant films in lyotropic lamellar (and related) phases: Fluctuations and interactions

Direct measurement of interaction forces in free thin liquid films stabilized with phosphatidylcholine

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