Approximations for Calculating van der Waals Interaction Energy between Spherical Particles—A Comparison

Thennadil, Suresh N.; García‐Rubio, Luis H.

doi:10.1006/jcis.2001.7851

Cited by 20 publications

(12 citation statements)

References 26 publications

(36 reference statements)

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“…As we do not have the means to characterize the two colloids individually, we assume their charge and their radius to be equal. The van der Waals attraction also entering in the DLVO interaction can here be neglected because it contributes only at high salt concentrations ( 1 M) and at surface separations smaller than 10 nm [89][90][91], in agreement with results from atomic force microscopy [92].…”

Section: Theory For Pair Interaction Of Blank Colloidssupporting

confidence: 55%

Micro-rheology on (polymer-grafted) colloids using optical tweezers

Gutsche¹,

Elmahdy²,

Kegler³

et al. 2011

J. Phys.: Condens. Matter

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Optical tweezers are experimental tools with extraordinary resolution in positioning (± 1 nm) a micron-sized colloid and in the measurement of forces (± 50 fN) acting on it-without any mechanical contact. This enables one to carry out a multitude of novel experiments in nano- and microfluidics, of which the following will be presented in this review: (i) forces within single pairs of colloids in media of varying concentration and valency of the surrounding ionic solution, (ii) measurements of the electrophoretic mobility of single colloids in different solvents (concentration, valency of the ionic solution and pH), (iii) similar experiments as in (i) with DNA-grafted colloids, (iv) the nonlinear response of single DNA-grafted colloids in shear flow and (v) the drag force on single colloids pulled through a polymer solution. The experiments will be described in detail and their analysis discussed.

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Section: Theory For Pair Interaction Of Blank Colloidssupporting

confidence: 55%

Micro-rheology on (polymer-grafted) colloids using optical tweezers

Gutsche¹,

Elmahdy²,

Kegler³

et al. 2011

J. Phys.: Condens. Matter

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“…The Lifshitz theory can also be applied indirectly using the Derjaguin approximation [33] or the one of Papadopoulos-Cheh [34]. The article of Thennadil and Garcia-Rubio [35] proposes a complete review of their calculation methods and their respective advantages.…”

Section: Two Spheresmentioning

confidence: 98%

Van der Waals interactions in systems involving gas hydrates

Bonnefoy

Gruy

Herri

2005

Fluid Phase Equilibria

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International audienceThe goal of this work is to quantify the Van der Waals interactions in systems involving gas hydrates. Gas hydrates are crystalline compounds that are often encountered in oil and gas industry, where they pose problems (pipeline plugging. etc.) and represent opportunities (energy resources. gas transport, etc.). We focus on methane hydrate, which is the most common one. and calculate its Hamaker constant. Two methods are used and lead to results in good agreement. The Hamaker, microscopic, approach gives a first estimate of the Hamaker constant of 4.59 x 10(-21) J for the hydrate-water-hydrate system. The Lifshitz, macroscopic, method used in combination with the Kramers-Kronig relationship gives a value of 8.25 x 10(-21) J. The Hamaker constant is also computed for three phases systems (gas hydrate clathrate and liquid water with ice, dodecane, quartz, sapphire, Teflon, metals). The interaction potential in different geometrical configurations is then calculated by a hybrid method and various cases of practical interest are studied

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“…Dispersion potentials in nontrivial geometries can be calculated using the Hamaker approach [22,23], which is based on a pairwise summation of van der Waals forces between volume elements of one body with those of the other. However, such an approach neglects many-body interactions which can lead to wrong results in particular for complex geometric structures [24,25]. The nonadditivity of Casimir forces induced by many-body interactions [26] implies that the position-, shape-and material-dependencies of such forces are intertwined in a complicated way.…”

mentioning

confidence: 99%

Probing Atom-Surface Interactions by Diffraction of Bose-Einstein Condensates

et al. 2014

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In this article we analyze the Casimir-Polder interaction of atoms with a solid grating and an additional repulsive interaction between the atoms and the grating in the presence of an external laser source. The combined potential landscape above the solid body is probed locally by diffraction of Bose-Einstein condensates. Measured diffraction efficiencies reveal information about the shape of the Casimir-Polder interaction and allow us to discern between models based on a pairwisesummation (Hamaker) approach and Lifshitz theory.

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Approximations for Calculating van der Waals Interaction Energy between Spherical Particles—A Comparison

Cited by 20 publications

References 26 publications

Micro-rheology on (polymer-grafted) colloids using optical tweezers

Micro-rheology on (polymer-grafted) colloids using optical tweezers

Van der Waals interactions in systems involving gas hydrates

Probing Atom-Surface Interactions by Diffraction of Bose-Einstein Condensates

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