Capillary waves on the surface of simple liquids measured by x-ray reflectivity

Tolman's nonlinearity of capillary waves

A nonlinear theory of nanometer capillary waves is developed that takes curvature dependence of the surface tension coefficient (Tolman's nonlinearity) into account. Estimations are given that indicate the importance of Tolman's nonlinearity for thermocapillary waves.

Nanometer-resolved interfacial fluidity

Confined liquids can have properties that are poorly predicted from bulk parameters. We resolve with 0.5 nm resolution the nanoscale perturbations that interfaces cause on fluidity, in thin 3-methylpentane (3MP) films. The films of glassy 3MP are much less viscous at the vacuum-liquid interface and much more viscous at the 3MP-metal interface, compared to the bulk of the film. We find that the viscosity at the interfaces continuously returns to the bulk value over about a 3 nm distance. The amorphous 3MP films are constructed using molecular beam epitaxy on a Pt(111) substrate at low temperatures (<30 K). Ions are gently inserted at specific distances from the substrate with a 1 eV hydronium (D(3)O(+)) or Cs(+) ion beam. The voltage across the film, which is directly proportional to the position of the ions within the film, is monitored electrostatically as the film is heated at a rate of 0.2 K/s. Above the bulk glass transition temperature (T(g)) of 3MP (77 K), the ions are expected to begin to move down through the film. However, ion movement is observed at temperatures as low as 50 K near the vacuum interface, well below the bulk T(g). The fitted kinetics predict that at 85 K, the glass is about 6 orders of magnitude less viscous near the free interface compared to that of the bulk.

Ion redistribution in an electric double layer

The structure of a single flat electric double layer (EDL) is studied by grounding a symmetric electrolyte (NaCl), which is in contact with a planar positively corona-treated polypropylene film. Because the profiles of the electrostatic potential distribution and ion distribution in the solution are altered when the solution is grounded, some mobile counterions in the diffuse layer of the electrolyte solution will go into the Helmholtz layer and thus decrease the electric potential psi(a/2) at the Stern plane in order to obtain a new equilibrium. After the system is grounded for a long time, the representation of the electric double layer changes from a Stern model to a Helmholtz model. Theoretical and experimental analyses are given in this study.

Comparative structural studies of Vpu peptides in phospholipid monolayers by x-ray scattering

Vpu is an 81-residue HIV-1 accessory protein, its transmembrane and cytoplasmic domains each responsible for one of its two functions. Langmuir monolayers of phospholipid incorporating a membrane protein with a unidirectional vectorial orientation, on a semiinfinite aqueous subphase, provide one "membranelike" environment for the protein. The cytoplasmic domain's interaction with the surface of the phospholipid monolayer in determining the tertiary structure of the peptide within the monolayer was investigated, employing a comparative structural study of Vpu with its submolecular fragments Tm and TmCy truncated to different extents in the cytoplasmic domain, via synchrotron x-ray scattering utilizing a new method of analysis. Localizations of the transmembrane and cytoplasmic domains within the monolayer profile structure were similar for all three proteins, the hydrophobic transmembrane helix within the hydrocarbon chain region tilted with respect to the monolayer plane and the helices of the cytoplasmic domains lying on the surface of the headgroups parallel to the monolayer plane. The thickness of the hydrocarbon chain region, determined by the tilt of the hydrocarbon chains and transmembrane domain with respect to the monolayer plane, was slightly different for Tm, TmCy, and Vpu systematically with protein/lipid mole ratio. Localization of the helices in the cytoplasmic domains of the three proteins relative to the headgroups depends on their extents and amphipathicities. Thus, the interaction of the cytoplasmic domain of Vpu on the surface may affect the tilt of the transmembrane helix within the hydrocarbon chain region in determining its tertiary structure in the membrane.

Molecular simulations of liquid-liquid interfacial properties: water-n-alkane and water-methanol-n-alkane systems

Direct molecular dynamics simulations of the liquid-liquid interface of water-n-alkane and water-methanol-n-alkane systems have been performed in order to study the interfacial properties of these systems. The simulations were carried out using the NERD revised force field of Nath et al. for the n-alkanes, the simple point charge extended model for water, and the optimized potential for liquid simulations model for methanol. In order to validate the model employed in this work for the n-alkanes we calculated the coexisting densities, surface tension, and thickness of the interface for pure n-pentane. For all the systems studied the interfacial tension and thickness were calculated at 298.15 K. Our results show that, by adjusting the number of molecules to reproduce the liquid densities in the direct simulation method of the liquid-liquid interface in multicomponent systems, we are able to reproduce available experimental data for interfacial tension. The interfacial thickness is underpredicted and a constant negative deviation of approximately 2.5 A from the experimental data is usually observed. We find that methanol acts like surfactant when it is added to the water-n-alkane mixtures, reducing the interfacial tension of the liquid-liquid ternary system. The interfacial tension results agree quantitatively well for the range of concentrations of methanol studied.

Solid-liquid interface of a 2-propanol-perfluoromethylcyclohexane mixture: from adsorption to wetting

The liquid-solid interface between a silicon substrate and the binary mixture perfluoromethylcyclohexane (PFMC) and 2-propanol (IP) is examined by x-ray specular reflectivity and diffuse scattering under grazing angles. The wetting films between the PFMC-rich phase and the substrate are characterized with respect to the density profile and lateral fluctuations. We find that the liquid-liquid interface of the film is anomalously broadened as compared to capillary wave theory. This broadening is caused by a locally slow variation of the density between the liquid phases and marks an adsorption profile that does not reflect the bulk properties of the film phase. Essentially the same behavior is present for a fused silica substrate.

Surface ordering in a concentrated suspension of colloidal particles investigated by x-ray scattering methods

The spatial arrangement of colloids near the free surface of a concentrated suspension of colloidal silica in water is investigated by means of x-ray scattering. The weakly charged particles are found to organize in layers along the surface normal direction. The degree of layering decreases with increasing distance from the surface and three layers are identified from the scattering profile. In the lateral direction, the scattering profile indicates a random spatial arrangement of particles at the surface. Based on the findings, a simple structural model for the near surface arrangement of colloidal particles in this system is proposed.

Binary separation in very thin nematic films: thickness and phase coexistence

The behavior as a function of temperature of very thin films (10 to 200 nm) of pentylcyanobiphenyl on silicon substrates is reported. In the vicinity of the nematic-isotropic transition we observe a coexistence of two regions of different thicknesses: thick regions are in the nematic state while thin ones are in the isotropic state. Moreover, the transition temperature is shifted downward following a 1/h(2) law ( h is the film thickness). Microscope observations and small-angle x-ray scattering allowed us to draw a phase diagram which is explained in terms of a binary first-order phase transition where thickness plays the role of an order parameter.

Viewpoint 9--molecular structure of aqueous interfaces

In this review we summarize recent progress in our understanding of the structure of aqueous interfaces emerging from molecular level computer simulations. It is emphasized that the presence of the interface induces specific structural effects which, in turn, influence a wide variety of phenomena occurring near the phase boundaries. At the liquid-vapor interface, the most probable orientations of a water molecule is such that its dipole moment lies parallel to the interface, one O-H bond points toward the vapor and the other O-H bond is directed toward the liquid. The orientational distributions are broad and slightly asymmetric, resulting in an excess dipole moment pointing toward the liquid. These structural preferences persist at interfaces between water and nonpolar liquids, indicating that the interactions between the two liquids in contact are weak. It was found that liquid-liquid interfaces are locally sharp but broadened by capillary waves. One consequence of anisotropic orientations of interfacial water molecules is asymmetric interactions, with respect to the sign of the charge, of ions with the water surface. It was found that even very close to the surface ions retain their hydration shells. New features of aqueous interfaces have been revealed in studies of water-membrane and water-monolayer systems. In particular, water molecules are strongly oriented by the polar head groups of the amphiphilic phase, and they penetrate the hydrophilic head-group region, but not the hydrophobic core. At infinite dilution near interfaces, amphiphilic molecules exhibit behavior different from that in the gas phase or in bulk water. This result sheds new light on the nature of hydrophobic effect in the interfacial regions. The presence of interfaces was also shown to affect both equilibrium and dynamic components of rates of chemical reactions. Applications of continuum models to interfacial problems have been, so far, unsuccessful. This, again, underscores the importance of molecular-level information about interfaces.

Surface freezing in n-alkane solutions: the relation to bulk phases

Surface freezing (SF) was investigated in tricosane-dodecane alkane solutions as a function of temperature (T) and molar concentration of tricosane (phi), using surface tension and synchrotron x-ray surface diffraction techniques. A crystalline SF monolayer, having a rotator R(II) structure, was found to exist for 35 degrees C</=T</=50 degrees C and 0.3</=phi</=1. The extended temperature range allowed to determine the linear-expansion coefficient of the SF monolayer, (dd/dT)/d=6.5 x 10(-4) degrees C-1. A simple thermodynamical model based on the theory of ideal solutions is shown to account well for the phi dependence of the SF temperature T(s)(phi). The study shows that the temperature range of existence of the surface frozen layer at each phi, the phi range over which SF is observed, and the bulk solidification behavior, are intimately related. All are determined by the rotator-liquid dissolution line T(dR)(phi).

Hydration state of single cytochrome c monolayers on soft interfaces via neutron interferometry

Yeast cytochrome c (YCC) can be covalently tethered to, and thereby vectorially oriented on, the soft surface of a mixed endgroup (e.g., -CH3/-SH = 6:1, or -OH/-SH = 6:1) organic self-assembled monolayer (SAM) chemisorbed on the surface of a silicon substrate utilizing a disulfide linkage between its unique surface cysteine residue and a thiol endgroup. Neutron reflectivities from such monolayers of YCC on Fe/Si or Fe/Au/Si multilayer substrates with H2O versus D2O hydrating the protein monolayer at 88% relative humidity for the nonpolar SAM (-CH3/-SH = 6:1 mixed endgroups) surface and 81% for the uncharged-polar SAM (-OH/-SH = 6:1mixed endgroups) surface were collected on the NG1 reflectometer at NIST. These data were analyzed using a new interferometric phasing method employing the neutron scattering contrast between the Si and Fe layers in a single reference multilayer structure and a constrained refinement approach utilizing the finite extent of the gradient of the profile structures for the systems. This provided the water distribution profiles for the two tethered protein monolayers consistent with their electron density profile determined previously via x-ray interferometry (Chupa et al., 1994).

Structural studies of the HIV-1 accessory protein Vpu in langmuir monolayers: synchrotron X-ray reflectivity

Vpu is an 81 amino acid integral membrane protein encoded by the HIV-1 genome with a N-terminal hydrophobic domain and a C-terminal hydrophilic domain. It enhances the release of virus from the infected cell and triggers degradation of the virus receptor CD4. Langmuir monolayers of mixtures of Vpu and the phospholipid 1,2-dilignoceroyl-sn-glycero-3-phosphocholine (DLgPC) at the water-air interface were studied by synchrotron radiation-based x-ray reflectivity over a range of mole ratios at constant surface pressure and for several surface pressures at a maximal mole ratio of Vpu/DLgPC. Analysis of the x-ray reflectivity data by both slab model-refinement and model-independent box-refinement methods firmly establish the monolayer electron density profiles. The electron density profiles as a function of increasing Vpu/DLgPC mole ratio at a constant, relatively high surface pressure indicated that the amphipathic helices of the cytoplasmic domain lie on the surface of the phospholipid headgroups and the hydrophobic transmembrane helix is oriented approximately normal to the plane of monolayer within the phospholipid hydrocarbon chain layer. At maximal Vpu/DLgPC mole ratio, the tilt of the transmembrane helix with respect to the monolayer normal decreases with increasing surface pressure and the conformation of the cytoplasmic domain varies substantially with surface pressure.

Pairing interactions and Gibbs adsorption at the liquid bi-in surface: a resonant X-ray reflectivity study

Resonant x-ray reflectivity measurements from the surface of liquid Bi(22)In(78) find only a modest surface Bi enhancement, with 35 at. % Bi in the first atomic layer. This is in contrast to the Gibbs adsorption in all liquid alloys studied to date, which show surface segregation of a complete monolayer of the low surface tension component. This suggests that surface adsorption in Bi-In is dominated by attractive interactions that increase the number of Bi-In neighbors at the surface. These are the first measurements in which resonant x-ray scattering has been used to quantify compositional changes induced at a liquid alloy surface.

X-ray study of oil-microemulsion and oil-water interfaces in ternary amphiphilic systems

We present x-ray reflectivity and diffuse scattering measurements from the interfaces between oil-rich and microemulsion bulk phases and between oil-rich and water-rich phases in three-component microemulsion systems (consisting of water, alkane, and C(i)E(j), where the last represents n-alkyl polyglycol ether with i=4,6,10 and j=1,2,4). The x-ray measurements are analyzed with a two-parameter fit that determines the interfacial roughness, varying from 25 A to 160 A, and the interfacial tension, varying from 1.4 mN/m to 0.03 mN/m, for these samples. Although a nonmonotonic profile at the oil-microemulsion interface is not observed, these measurements exclude the presence of oscillating profiles with repeat distances greater then 500 A.

Structural models of lipid surface monolayers from X-ray and neutron reflectivity measurements

Structural investigations of phospholipid monolayers on aqueous subphases on the submolecular level using X-ray and neutron reflectivity measurements are reviewed. While such investigations have been limited in the past by a relatively restricted accessible momentum transfer range, recent developments in synchrotron technology--almost doubling this range--have considerably improved the capabilities of the technique. Until recently, data interpretation has entirely relied on 'box models' which describe the structures as molecularly homogeneous slabs--one hydrophobic and one hydrophilic. It is shown that box models of phospholipid monolayers are rather inadequate to model data at the high momentum transfer available nowadays in X-ray measurements. As an alternative, a hybrid data inversion strategy is proposed that treats the hydrophobic alkane phase as a homogeneous slab and describes the position of submolecular fragments of the lipid headgroups by means of distribution functions along the interface. Within this approach, composition-space refinement--enabling the coupling of data sets from various X-ray and neutron contrasts--in connection with volumetric constraints enables structural characterization of lipid monolayers in unprecedented detail. Extending a recent characterization of dimyristoylphosphatidic acid (DMPA) monolayers on pure water [Schalke et al., Biochim. Biophys. Acta 1464 (2000) 113-126] it is shown that stoichiometric binding of the divalent cations--DMPA-:Cat2+= 2:1--occurs only at exceedingly low areas per molecule, A lipid. At low surface pressure pi, both cations and anions are incorporated into the headgroup in significant amounts, approximately 0.68 Ba2+ and approximately 0.35 Cl- per PA molecule at pi = 2 mN m(-1). They are continuously squeezed out upon compression, until upon approaching Alipid = 41 A2, the stoichiometric ratio between bound cations and acidic headgroups is observed. The average inclination angle alpha of the headgroups as well as their water content is constant along the whole isotherm. The intrinsic contribution to the distribution width--i.e. the spread that is due to a distribution of the fragments within the headgroup without the action of capillary waves--increases with compression up to pi approximately 30 mN m(-1) and drops sharply thereafter in a regime of the isotherm where Alipid approaches its limiting value. The same general picture is observed for DMPA on subphases with 10 mM Ca2+, although the lower electron density of that cation limits the precision of the results.

X-ray and neutron surface scattering for studying lipid/polymer assemblies at the air-liquid and solid-liquid interfaces

Simple mono- and bilayers, built of amphiphilic molecules and prepared at air-liquid or solid-liquid interfaces, can be used as models to study such effects as water penetration, hydrocarbon chain packing, and structural changes due to head group modification. In the paper, we will discuss neutron and X-ray reflectometry and grazing incidence X-ray diffraction techniques used to explore structures of such ultra-thin organic films in different environments. We will illustrate the use of these methods to characterize the morphologies of the following systems: (i) polyethylene glycol-modified distearoylphosphatidylethanolamine monolayers at air-liquid and solid-liquid interfaces; and (ii) assemblies of branched polyethyleneimine polymer and dimyristoylphophatidylcholine lipid at solid-liquid interfaces.

Noncapillary-wave structure at the water-alkane interface

Synchrotron x-ray reflectivity is used to study the interface between bulk water and bulk n-alkanes with carbon numbers 6 through 10, 12, 16, and 22. For all interfaces, except the water-hexane interface, the interfacial width disagrees with the prediction from capillary-wave theory. The variation of interfacial width with carbon number can be described by combining the capillary-wave prediction for the width with a contribution from intrinsic structure. This intrinsic structure is determined by the gyration radius for the shorter alkanes and by the bulk correlation length for the longer alkanes.

Thermal unbinding of highly oriented phospholipid membranes

We present a temperature dependent x-ray reflectivity study of highly oriented, fully hydrated multilamellar phospholipid membranes. Both the specular and diffuse (nonspecular) x-ray reflectivity were measured for dimyristoyl-sn-glycero-phosphocholine (DMPC) and oleoyl-palmitoyl-sn-glycero-phosphocholine (POPC) on silicon substrates in excess water. In this configuration the repeat distance as well as the fluctuation spectra can be determined as a function of temperature. Both model systems studied exhibit a discontinuous unbinding transition from a substrate bound, multilamellar state to a state of freely dispersed bilayers in water. In the unbound phase a single membrane remains on the substrate.

Effective Hamiltonian for liquid-vapor interfaces

Starting from a density functional theory for inhomogeneous fluids we derive an effective Hamiltonian for liquid-vapor interfaces of simple fluids which goes beyond the common phenomenological capillary-wave description. In contrast to other approaches we take into account the long-ranged power-law decay of the dispersion forces between the fluid particles which changes the functional form of the wave-vector-dependent surface tension qualitatively. In particular, we find two different forms of the bending rigidity for the capillary waves, a negative one for small wave vectors determined by the long-ranged dispersion forces and a positive rigidity for large wave vectors due to the distortions of the intrinsic density profile in the vicinity of the locally curved interface. The differences to the standard capillary-wave theory and the relevance of these results for the interpretation of scattering experiments are discussed.

A structural study of beta-casein adsorbed layers at the air-water interface using X-ray and neutron reflectivity

New details on the structure of beta-casein adsorbed layers, at the air-water interface, have been obtained using X-ray and neutron reflectivity. The experimental data are fitted well by a power law model and the results discussed in terms of the distribution of amino-acid sequences between trains, loops and tails. This distribution seems to be consistent with statistical theories established for flexible polymers. The trains are present in close proximity to the surface as a dense layer 8-9 A thick. At low surface coverage, the tail effect is negligible and the adsorbed layer is composed of nearly 60% amino-acid sequences in trains and the remaining in loops. When the bulk concentration is increased, a substantial part of the amino-acid residues has to be accommodated in loops and long tails; the adsorbed layer becomes more extended (80-100 A). A striking feature is observed for a high bulk concentration (10(-1) wt.%): trains are forced to eject out of the interface.

Time-resolved X-ray reflectivity measurements of protein binding onto model lipid membranes at the air-water interface

The energy-dispersive X-ray reflectometry and turbidity measurements are used to investigate the kinetics of concanavalin A binding onto the distearoylphosphatidylcholine/distearoylphosphatidylethanolamine-+ ++maltobionamide (DSPC/DSPE-mal1) or distearoylphosphatidylcholine/distearoylphosphatidylethanolamine-+ ++maltotetrabionamide (DSPC/mal3) mixed monolayer at the air-water interface. The resulting adsorbed layer of this sugar-binding protein near the membrane with one or three hexoses in the lipid head-group is 3.9 nm or 9.7 nm thick, respectively. The different thicknesses of the adsorbed layer can be correlated with the diverse orientations of the adsorbed proteins. These lay flat on the surface containing DSPE-mal1 and 'perpendicular' to the surface containing DSPE-mal3. The monolayer structure is little affected by concanavalin A binding, but the incorporation of sugar lipids decreases the chain tilt and the interfacial thickness marginally. The binding is quasi-exponential with the time constant between some minutes and several hours depending on the concanavalin A and vesicle concentrations in the bulk. The experimental resolution of the time-resolved measurements made with the laboratory-based instrument is 15 min and the spatial resolution is between 0.05 nm and 0.5 nm, depending on the electron contrast. It is estimated that the high-brilliance synchrotron X-ray source combined with the detection method outlined in this work, could permit the kinetic measurements on the time-scale of < 1 minute.