2003
DOI: 10.1103/physrevlett.90.216101
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X-Ray Synchrotron Study of Liquid-Vapor Interfaces at Short Length Scales: Effect of Long-Range Forces and Bending Energies

Abstract: We have investigated the small-scale structure of the liquid-vapor interface using synchrotron x-ray scattering for liquids with different molecular structures and interactions. The effective momentum-dependent surface energy first decreases from its macroscopic value due to the effect of long-range forces, and then increases with increasing wave vector. The results are analyzed using a recent density functional theory. The large wave-vector increase is attributed to a bending energy for which local and nonloc… Show more

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Cited by 90 publications
(94 citation statements)
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“…Additionally, if this roughness is correlated over a significant length scale it would cause an increased diffuse scattering intensity at large q xy . This has indeed been observed for the free surface of water and several other liquids [42,43] and can be accounted for by a wave vector dependent surface tension [44], which has a reduced value for the corresponding length scales. This could be the cause of the observed potential dependent roughness deviation, since the observed increase in the electron density of the first layer would most likely significantly influence such small scale roughness phenomena.…”
Section: Discussionmentioning
confidence: 91%
“…Additionally, if this roughness is correlated over a significant length scale it would cause an increased diffuse scattering intensity at large q xy . This has indeed been observed for the free surface of water and several other liquids [42,43] and can be accounted for by a wave vector dependent surface tension [44], which has a reduced value for the corresponding length scales. This could be the cause of the observed potential dependent roughness deviation, since the observed increase in the electron density of the first layer would most likely significantly influence such small scale roughness phenomena.…”
Section: Discussionmentioning
confidence: 91%
“…In contrast, there have been claims of enhanced CWs, i.e. γ(q) < γ o based on experimental [36], theoretical [9] and computer simulations results [17,19]. The common factor in all these κ < 0 estimations is that the intrinsic surface is (explicitly or implicitly) defined in terms of the one-particle operatorρ(r) = i δ(r − r i ).…”
Section: The Spectrum Of Cwmentioning
confidence: 99%
“…From the experimental side, the X-ray reflectivity gives direct access to the mean density profile ρ(z; A o ) over an effective area that may be calculated from the geometry of the experimental setup, and the leading term S(q) = kT /(γ o q 2 ) + ... may be identified in the diffuse scattering from liquid surfaces [5]. The bending modulus term, κ, requires to take out the bulk contribution in the diffuse scattering, to get the surface structure factor, which is done by subtracting the off-plane signal from that on the specular plane [36]. This approach involves nonetheless subtle calculations with the shape and orientation of the detector as variables [5].…”
Section: The Spectrum Of Cwmentioning
confidence: 99%
“…Experimentally, this transition was observed in XPCS experiments by decreasing the temperature in a water glycerol solution [12]. At the small length scale probed by X-ray, the dependency of the surface tension on the scattering vector was evaluated and a debate with theoretical predictions is currently in progress [13][14][15][16].…”
Section: Introductionmentioning
confidence: 99%