Particle−Surface Capillary Forces

Lazzer, A. De; Dreyer, Michael; Rath, H. J.

doi:10.1021/la981095+

Cited by 140 publications

(109 citation statements)

References 6 publications

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“…More elaborate theoretical models to describe the meniscus force have been developed in recent years by de Lazzer et al [697] and Stifter et al [698] to describe the interaction of an AFM tip with a planar surface. Sirghi et al [699] extended the model by de Lazzer [697] to include local curvature of the sample surface.…”

Section: Meniscus Forcementioning

confidence: 99%

See 1 more Smart Citation

Force measurements with the atomic force microscope: Technique, interpretation and applications

Butt

Cappella

Kappl

2005

Surface Science Reports

3,242

2,949

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Section: Meniscus Forcementioning

confidence: 99%

“…Sirghi et al [699] extended the model by de Lazzer [697] to include local curvature of the sample surface. It was shown both theoretically and experimentally that the sample local curvature strongly affects the adhesion force.…”

Section: Meniscus Forcementioning

confidence: 99%

Force measurements with the atomic force microscope: Technique, interpretation and applications

Butt

Cappella

Kappl

2005

Surface Science Reports

3,242

2,949

View full text Add to dashboard Cite

“…(1) in terms of elliptic integrals [52]. Simpler analytic solutions are also widely used in analyzing experimental data [30,[53][54][55][56][57], but are only valid in limiting cases such as |r 2 | |r 1 | or constant r 1 .…”

Section: Macroscopic Theory Of Capillary Forcesmentioning

confidence: 99%

Capillary adhesion at the nanometer scale

Cheng

Robbins

2014

Phys. Rev. E

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Molecular dynamics simulations are used to study the capillary adhesion from a nonvolatile liquid meniscus between a spherical tip and a flat substrate. The atomic structure of the tip, the tip radius, the contact angles of the liquid on the two surfaces, and the volume of the liquid bridge are varied. The capillary force between the tip and substrate is calculated as a function of their separation h. The force agrees with continuum predictions based on macroscopic theory for h down to ∼5 to 10 nm. At smaller h, the force tends to be less attractive than predicted and has strong oscillations. This oscillatory component of the capillary force is completely missed in the macroscopic theory, which only includes contributions from the surface tension around the circumference of the meniscus and the pressure difference over the cross section of the meniscus. The oscillation is found to be due to molecular layering of the liquid confined in the narrow gap between the tip and substrate. This effect is most pronounced for large tip radii and/or smooth surfaces. The other two components considered by the macroscopic theory are also identified. The surface tension term, as well as the meniscus shape, is accurately described by the macroscopic theory for h down to ∼1 nm, but the capillary pressure term is always more positive than the corresponding continuum result. This shift in the capillary pressure reduces the average adhesion by a factor as large as 2 from its continuum value and is found to be due to an anisotropy in the pressure tensor. The component in the plane of the substrate is consistent with the capillary pressure predicted by the macroscopic theory (i.e., the Young-Laplace equation), but the normal pressure that determines the capillary force is always more positive than the continuum counterpart.

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“…The adhesion force is the sum of the capillary and van der Waals force (Lazzer et al, 1999). However, in most previous works (Jones et al, 2002;Junno et al, 1995), the van der Waals force is usually approximated or omitted in the calculation.…”

Section: Theorymentioning

confidence: 99%

Theoretical study of the effect of probe shape on adhesion force between probe and substrate in Atomic Force Microscope experiment

Kong

2015

jtam

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The quantitative description of adhesion force dependence on the probe shapes are of importance in many scientific and industrial fields. In order to elucidate how the adhesion force varied with the probe shape in atomic force microscope manipulation experiment, we performed a theoretical study of the influences of the probe shape (the sphere and parabolic probe) on the adhesion force at different humidity. We found that the combined action of the triple point and the Kelvin radius guiding the trend of the adhesion force, and these two fundamental parameters are closely related to the probe shape. Whilst, the theoretical results demonstrate that the adhesion force is in good agreement with the experiment data if the van der Waals force is taken into account.

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Particle−Surface Capillary Forces

Cited by 140 publications

References 6 publications

Force measurements with the atomic force microscope: Technique, interpretation and applications

Force measurements with the atomic force microscope: Technique, interpretation and applications

Capillary adhesion at the nanometer scale

Theoretical study of the effect of probe shape on adhesion force between probe and substrate in Atomic Force Microscope experiment

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