Microscopic Expression of the Surface Tension of Nano-Scale Cylindrical Liquid and Applicability of the Laplace Equation

Cui, Shuwen; Wei, Jiachen; Xiao-Song,; Xu, Shenghua; Sun, Zhiwei; Zhu, Rui

doi:10.1166/jctn.2015.3715

Cited by 4 publications

(6 citation statements)

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“…To compare thus obtained surface tension with those directly calculated from the Young-Laplace equation will be able to test the magnitude of error of the Young-Laplace equation. Shuwen Cui et al did this for nano-scale cylindrical liquid and got the conclusion that Laplace equation is applicable in nanoscale with fairly good approximation [8]. The nanodroplets are the objects of our studies.…”

Section: Physical Chemistry Of Nanoclusters and Nanomaterialsmentioning

confidence: 82%

“…So they claimed that the YoungLaplace equation is applicable in nanoscale. However, as Cui et al [8] pointed that this logic was at fault, obviously. From Eq.…”

Section: Physical Chemistry Of Nanoclusters and Nanomaterialsmentioning

confidence: 99%

“…In 2005 Tartakovsky [8] considered that the Young-Laplace equation is fail when a droplet is very tiny. He adopted a qualitative approach and had no quantitative description.…”

Section: Physical Chemistry Of Nanoclusters and Nanomaterialsmentioning

confidence: 99%

See 2 more Smart Citations

On the applicability of Young–Laplace equation for nanoscale liquid drops

Yan

Wei²,

Cui

et al. 2016

Russ. J. Phys. Chem.

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Abstract-Debates continue on the applicability of the Young-Laplace equation for droplets, vapor bubbles and gas bubbles in nanoscale. It is more meaningful to find the error range of the Young-Laplace equation in nanoscale instead of making the judgement of its applicability. To do this, for seven liquid argon drops (containing 800, 1000, 1200, 1400, 1600, 1800, or 2000 particles, respectively) at T = 78 K we determined the radius of surface of tension and the corresponding surface tension by molecular dynamics simulation based on the expressions of and in terms of the pressure distribution for droplets. Compared with the two-phase pressure difference directly obtained by MD simulation, the results show that the absolute values of relative error of two-phase pressure difference given by the Young-Laplace equation are between 0.0008 and 0.027, and the surface tension of the argon droplet increases with increasing radius of surface of tension, which supports that the Tolman length of Lennard-Jones droplets is positive and that Lennard-Jones vapor bubbles is negative. Besides, the logic error in the deduction of the expressions of the radius and the surface tension of surface of tension, and in terms of the pressure distribution for liquid drops in a certain literature is corrected.

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Section: Physical Chemistry Of Nanoclusters and Nanomaterialsmentioning

confidence: 82%

“…So they claimed that the YoungLaplace equation is applicable in nanoscale. However, as Cui et al [8] pointed that this logic was at fault, obviously. From Eq.…”

Section: Physical Chemistry Of Nanoclusters and Nanomaterialsmentioning

confidence: 99%

See 1 more Smart Citation

On the applicability of Young–Laplace equation for nanoscale liquid drops

Yan

Wei²,

Cui

et al. 2016

Russ. J. Phys. Chem.

Self Cite

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“…When the liquid surface is approximately spherical, the additional pressure p s of the curved liquid surface is given by

p_{normals} = \frac{4 γ \cos θ}{d}

where γ, θ, and d are liquid surface tension, contact angle, and micropore diameter, respectively. [ 35 ]…”

Section: Resultsmentioning

confidence: 99%

“…where γ, θ, and d are liquid surface tension, contact angle, and micropore diameter, respectively. [35] When LC permeates into smaller pores, there will be higher additional pressure on bending liquid surface, and strong capillarity makes polymer networks easy to be filled with LC. Better refilling means greater average refractive index, which makes the reflective band close to that of the system before washing out the LC.…”

Section: Refilling Polymer Network Of Different Monomer Concentratiomentioning

confidence: 99%

Reflective Band Memory Effect of Cholesteric Polymer Networks Based on Washout/Refilling Method

Zhang

Shi

Cao

et al. 2020

Macro Chemistry & Physics

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The method of washout/refilling is applied to a polymer stabilized cholesteric liquid crystal. Polymer networks are prepared with different concentrations of monomers under different polymerization conditions. By refilling different solvents or liquid crystals into the polymer network, reflective bands with different central wavelength and bandwidth are observed. It is confirmed that the polymer network can reproduce the initial reflection band of cholesteric phase, and corresponding explanations are given. When polymers have denser networks and smaller micropores, it shows better memory effects on the reflective band. These results can be potentially used in reflective displays, optical shielding films, diffraction gratings, sensors, and so on.

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Tolman length of simple droplet: Theoretical study and molecular dynamics simulation*

Cui¹,

Wei²,

Li³

et al. 2021

Chinese Phys. B

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In 1949, Tolman found the relation between the surface tension and Tolman length, which determines the dimensional effect of the surface tension. Tolman length is the difference between the equimolar surface and the surface of tension. In recent years, the magnitude, expression, and sign of the Tolman length remain an open question. An incompressible and homogeneous liquid droplet model is proposed and the approximate expression and sign for Tolman length are derived in this paper. We obtain the relation between Tolman length and the radius of the surface of tension (R s) and found that they increase with the R s decreasing. The Tolman length of plane surface tends to zero. Taking argon for example, molecular dynamics simulation is carried out by using the Lennard–Jones (LJ) potential between atoms at a temperature of 90 K. Five simulated systems are used, with numbers of argon atoms being 10140, 10935, 11760, 13500, and 15360, respectively. By methods of theoretical study and molecular dynamics simulation, we find that the calculated value of Tolman length is more than zero, and it decreases as the size is increased among the whole size range. The value of surface tension increases with the radius of the surface of tension increasing, which is consistent with Tolman’s theory. These conclusions are significant for studying the size dependence of the surface tension.

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Microscopic Expression of the Surface Tension of Nano-Scale Cylindrical Liquid and Applicability of the Laplace Equation

Cited by 4 publications

References 0 publications

On the applicability of Young–Laplace equation for nanoscale liquid drops

On the applicability of Young–Laplace equation for nanoscale liquid drops

Reflective Band Memory Effect of Cholesteric Polymer Networks Based on Washout/Refilling Method

Tolman length of simple droplet: Theoretical study and molecular dynamics simulation*

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