Structure and Dynamics of Confined Liquids: Challenges and Perspectives for the X-ray Surface Forces Apparatus.

The molecular-scale structure and dynamics of confined liquids has increasingly gained relevance for applications in nanotechnology. Thus, a detailed knowledge of the structure of confined liquids on molecular length scales is of great interest for fundamental and applied sciences. To study confined structures under dynamic conditions, we constructed an in situ X-ray surface forces apparatus (X-SFA). This novel device can create a precisely controlled slit-pore confinement down to dimensions on the 10 nm scale by using a cylinder-on-flat geometry for the first time. Complementary structural information can be obtained by simultaneous force measurements and X-ray scattering experiments. The in-plane structure of liquids parallel to the slit pore and density profiles perpendicular to the confining interfaces are studied by X-ray scattering and reflectivity. The normal load between the opposing interfaces can be modulated to study the structural dynamics of confined liquids. The confinement gap distance is tracked simultaneously with nanometer precision by analyzing optical interference fringes of equal chromatic order. Relaxation processes can be studied by driving the system out of equilibrium by shear stress or compression/decompression cycles of the slit pore. The capability of the new device is demonstrated on the liquid crystal 4'-octyl-4-cyano-biphenyl (8CB) in its smectic A (SmA) mesophase. Its molecular-scale structure and orientation confined in 100 nm to 1.7 μm slit pores was studied under static and dynamic nonequilibrium conditions.

Introduction

Confined liquids play an important role in many technical applications and processes. For example, the dynamics of electrolytes in nanoscale confinement are relevant to the development of novel electric double-layer caal">pacitors and electrochemical processes.[1−4] In heterogeneous catalysis, the performance of a reaction has been shown to be sensitive to the molecular-scale liquid structure in a nanoporous material.[5] In particular for complex electrolytes with heterogeneities on the nanometer length scale,[6−9] confinement can qualitatively alter structural properties. High-speed printing and film deposition on nanoscopically rough surfaces depend on the wetting property of surfactants in small pores. Thus, a detailed knowledge of the structure of confined liquids on molecular length scales is of great interest for fundamental and applied sciences.[10]

When confinement approaches the molecular dimensions of liquids, structural and dynamical properties can differ significantly from their bulk behavior[11−13] (Figure a–d). It has been shown that, depending on the intermolecular forces, soft matter adjacent to a solid and near surfaces can exhibit interfacial regions of reduced density,[14−16] interfacial freezing,[17−19] interfacial melting,[20−23] molecular layering,[24−31] molecular orientation,[32] or specific lateral molecular arrangements.[33] Furthermore, the phase diagram of confined liquids can differ significantly from the bulk.[34,35] Such interface-induced structures can strongly affect the dynamics in a confined system. Prominent examples include increasing friction under lateral shear[36,37] as well as increased reactivity at electrified interfaces[3] (Figure e,f).

Figure 1

Structure of hard spheres with diameter d in a 2D slit-pore confinement at gap widths of D = d (a), (b), D = 2d (c), and (d). In 3D, adjacent layers of close-packed spheres (b and d) arrange with respect to their tetrahedral gaps. Dynamic response of the system after applying shear stress (e) or an electric potential (f).

Today, most structural information on the molecular-scale arrangement of confined fluids is obtained by computer simulations[40,41] or indirectly deduced from force–distance curves measured using a surface forces apparatus (SFA, Figure d), colloidal probe[42−44] (Figure e), or atomic force microscope (AFM). In particular, the SFA is an established experimental setup to simultaneously measure forces and distances across two surfaces approaching each other on a range from micrometers down to nanometers with nanometer precision.

Figure 2

Overview of X-SFA geometries to study confined liquids by X-ray scattering. Scattering angles follow the six-circle notation by Vlieg et al.[38] with incident angle α, exit angle γ, in-plane angle δ, and total scattering angle 2θ. (a) In transmission geometry, incident and scattered X-ray beams (orange) penetrate both confining slit-pore walls (gray).[39] (b) In in-plane scattering geometry, the incident beam α = 0 is aligned parallel to the confining surfaces. At γ = 0, the momentum transfer of the scattering vector q = kf – ki points in the direction perpendicular to the surface normal (i.e., q∥ in the x–y plane). (c) Specular reflectivity (XRR) with α = γ and q = q parallel to the surface normal of the slit-pore walls. This configuration probes interfacial profiles along the z direction (i.e., across the slit pore). Confinement can be created in the standard SFA crossed-cylinders geometry (d), the colloidal probe sphere-on-flat geometry (e), the cylinder-on-flat geometry (f), or the plane–plane geometry (g).

This article is structured as follows. First, we give an overview of past and present experimental approaches to address the molecular-scale structures and dynamics of confined fluids by elastic scattering and force measurements. We then describe a novel design for an X-ray surface forces apparatus (X-SFA) in cylinder-on-flat geometry combining the capabilities of an SFA setup with X-ray scattering techniques. Our first X-SFA experiments on smectic liquid crystal 4′-octyl-4-cyano-biphenyl (8CB) in confinement are presented. They demonstrate the feasibility of the cylinder-on-flat geometry and the increased sensitivity and capability of the new instrument. The article closes with an outlook in which we discuss the potential of the new setup to answer current scientific questions in the field of soft condensed matter, develop ideas for future instruments, and outline first concepts for experiments that will become possible with new synchrotron sources.[45,46]

Experiments Probing the Structure and Dynamics of Confined Liquids

An SFA is used to study liquids under controlled slit-pore confinement with gap dimensions down to the molecular length scale.[47] Furthermore, a SFA can very precisely apply stress to the confined material and measure its viscoelastic response. From SFA experiments, limited structural information can be obtained from refractive index measurements.[48,49] However, force measurements in an SFA, colloidal probe, or AFM, actually do not directly probe the spatial arrangement of the molecules.[50,51] Instead, structural information is inferred from force measurements using model assumptions to interpret the force data.[52,53] On the other hand, X-ray scattering and reflectivity (XRR) are powerful techniques to directly probe structures on molecular length scales in the bulk and at interfaces.[54−56] Today, high-brilliant synchrotron sources allow us to study the structural dynamics at interfaces and in small sample volumes in situ on submicrosecond time scales.[57−60]

For instance, extensive work has been conducted on the molecular-scale structure of soft matter confinement in porous bulklike materials using X-ray and neutron scattering techniques.[35,61−65] Today, nearly monodisperse cylinders in silica or aluminum oxide (AAO) with diameters ranging from 5 nm to 1 μm are available.[66−70] The macroscopic amount of liquid confined inside millions of uniform pores allows the use of bulk techniques such as dielectric spectroscopy,[71,72] NMR,[73] optical birefringent,[35] and QENS.[74] However, even for such well-defined pores, in scattering experiments some of the structural information on the confined liquids is lost because of the intrinsic average in cylinder symmetry. In disordered and polydisperse porous materials, a quantitative interpretation of scattering data is even more challenging. Because of the Gibbs–Thomson effect,[75,76] the large curvature in nanosized porous materials strongly affects the phase behavior of confined fluids.[77] Moreover, dynamic studies during shear, compression, and decompression are intrinsically difficult to realize experimentally in a porous system. Therefore, to probe the intrinsic structure and dynamics of liquids confined between two parallel walls, other geometries have to be employed.

An X-ray surface forces apparatus (X-SFA) simultaneously combines the two complementary experimental techniques of force–distance measurements and X-ray scattering.[47] This unique combination promises results not accessible by any other experimental method. Moreover, an SFA allows moving the pore walls vertically and laterally with respect to each other. Therefore, the development of an X-SFA that allows driving the structure of confined liquids out of equilibrium by lateral and vertical motion of the pore walls while recording its relaxation by scattering techniques will open up new ways to study the structural relaxation dynamics of confined liquids under shear and load.

The first X-SFA for transmission experiments (Figure a) in crossed-cylinder geometry (Figure d) was introduced in 1993 by Israelachvili’s and Safinya’s groups.[36,78−84] Experiments on liquid crystal 4′-octyl-4-cyano-biphenyl (8CB) demonstrated that a 10-nm-thick 8CB film provides sufficient scattering intensity to extract structural information on the molecular orientation induced by the confinement between the two mica cylinders.

Later, two different teams, lead by Reichert and Mugele at ID10C,[85] ESRF and van der Veen and Heuberger at the Swiss Light Source,[86] used a similar geometry. The latter team also explored the potential of an X-SFA for X-ray reflectivity (Figure c) using the crossed-cylinder geometry (Figure d).[87−90] However, because of the large curvature of the cylinders, data can be taken only at large vertical momentum transfers q > 4.0 nm–1. This precludes conventional XRR measurements in the Fresnel regime. Therefore, the structure of the confined liquid can be deduced only from crystal truncation rods (CTR) using a rather complex data analysis.[90] No structural in-plane information (Figure b) is accessible in this geometry because a defined slit-pore confinement is established only at the very center of the crossed cylinders.

The group of Seeck at PETRA III designed two different X-SFAs in plane–plane geometry (Figure g).[91,92] In their current version, confining walls are made of two diamond single crystals commonly used for diamond anvil cells. With a maximum possible force of 100 N applied to the 200-μm-diameter diamond culets in the crystallographic (100) direction, pressures of up to 3 GPa can be reached to obtain molecular-scale confinement. Parallel alignment of the opposing macroscopic planar interfaces can be rather challenging. Furthermore, in some cases the information extracted from the scattering patterns is limited by the diamonds’ surface roughness of approximately 1 nm rms (root mean square) and up to 1.4 nm peak-to-valley. In X-ray scattering and specular reflectivity experiments on confined liquid pan class="Chemical">benzene, a gap thickness down to 5 nm was reached.[92] In an experiment on carbon tetrachloride, crystal–liquid coexistence was found in slit-pore confinement[93]

Recently, a device enabling shear measurements while performing X-ray experiments was realized by Kurihara’s group.[94] Using a crossed-cylinder geometry, scattering experiments probe the molecular structure parallel to the two confining surfaces.

For neutron scattering experiments, devices usually feature large confined areas to accommodate large beam footprints. Sizes up to square centimeters might aggravate a reproducible and precise confinement over the entire area. Particles trapped in confinement are prone to corrupt measurements. The larger the confined areas, the more challenging the elimination of contaminants.

Kuhl’s group succeeded in creating a 100 nm slit-pore confinement with ±15 nm local deviations.[95,96] Their cell allows shear experiments in the frequency range between 0.001 and 20 Hz. This setup was primarily used to investigate confined polymer films.[97]

Another instrument used to study the structure of confined soft matter films upon applying a controlled external pressure using neutron reflectometry was developed by de Vos et al.[98] Here, confinement down to the nanometer level and over large areas is achieved by an inflatable flexible membrane approach. With this approach, they probed the effects of confinement on a poly(vinyl pyrrolidone) gel layer in water, a polyelectrolyte multilayer in water, and the lamellar structures of a D2O swollen stack of supported lipid bilayers. Over the last few years, it has been demonstrated that this setup can provide detailed insight into the equilibrium structure of confined soft matter at known confining pressures. Various studies on polyelectrolyte brushes and lipid bilayers[99−102] have been reported. However, the instrument does not allow for lateral motion of the confining surfaces against each other.

Changes in the interfacial profiles of hexadecane under shear rates of up to 1000 Hz have been studied by neutron reflectivity in a cone–plate rheometer.[103−105] As an alternative setup at P10, PETRA III using a modified plate–plate rheometer was employed to study the influence of shear forces on the structure of bulk liquids by X-ray scattering techniques.[106,107] However, because of their large sample thicknesses most instruments based on conventional rheometers are not able to reach high enough shear rates to detect fast interfacial relaxation processes on the molecular length scale such as adsorption and desorption.[108,109]

In this article, we present a novel design for an X-SFA in cylinder-on-flat geometry (Figure f) for in-plane scattering (Figure b) and specular XRR (Figure c). Data, obtained in these complementary scattering geometries, caries information on the normal and lateral molecular arrangement of soft matter in slit-pore confinement. Furthermore, compared to the crossed cylinder geometry (Figure d), the cylinder-on-flat geometry provides significantly more confined sample volume for scattering experiments. Using white light interferometry, this device can realize a controlled confinement in slit-pore geometry with gap thicknesses D ranging from several 10 μm down to the 10 nm length scale. The instrument is able to apply lateral (shear stress) and vertical (compression/decompression) relative motion of the confining solids and monitor structural changes in situ. Simultaneously, normal and frictional forces can be measured by strain gauges. Thus, X-SFA experiments can provide complementary information to force–distance measurements and conventional X-ray and neutron scattering studies in nanoporous materials. In particular, our new X-SFA can be used to study relaxation processes by driving the system out of equilibrium by shear stress or compression and decompression.

X-ray Surface Forces Apparatus

General Design

In our new X-SFA setup (Figures and 4), confinement is realized between a stationary upper planar surface and a cylindrically curved lower surface in a flat-on-cylinder geometry (Figure f). Both surfaces in direct contact with the liquid are atomically smooth with a roughnesses below 0.5 nm rms (Figure S2). Their surface properties can be tuned by functionalization with self-assembled monolayers (SAMs).

Figure 3

Photography of the X-SFA setup mounted on the HEMD diffractometer (1) at ID31 ESRF. Lines indicate optical (white and green light) and X-ray (red) beam paths. The SFA with the confined liquid (inset) is located at the diffractometer’s rotation center inside a helium-filled stainless steel chamber (2). X-rays enter and leave the chamber nearly horizontally through 80 μm Kapton windows (3) and are recorded on 2D detectors (4). White light from a fiber light source (5) is fed in via a mirror from below. The microscope objective (6), beam splitter (7), top-view CCD camera (8), and spectrometer (9) are mounted above the sample chamber on the upper instrument level.

Figure 4

Schematic of the X-SFA setup including double-cantilever springs with strain gauges and optics for recording Newton’s interference and fringes of equal chromatic order (FECO). (a) Top view of the confined 8CB by video microscopy indicating perfect parallel alignment of the opposing surfaces. (b) FECOs are used to determine the gap width.

As a stationary upper surface, we use an atomically smooth template stripped gold layer on a corundum (Al2O3) single crystal (Figure S1).[110−113] A thin mica sheet, back coated with a semitransparent silver mirror, serves as a nonstationary (moving horizontal/lateral) surface. For mechanical support, the mica sheet is glued on a glass cylinder (radius of curvature 10 mm, apex length 10 mm) by epoxy resin. Preparation procedures and material parameters for both surfaces are provided in the Supporting Information (SI).

The incident X-ray beam enters through the side of the upper substrate in the direction of the cylinder apex. This avoids scattering artifacts from the mica edges. The Al2O3 single crystal reduces background scattering from the substrate. Because in reflection geometry the beam has to penetrate several millimeters of Al2O3, high-energy X-rays are essential.[114−116]

Because of the elasticity of the hardened epoxy resin, the mica sheet can adapt to the planar nonstationary surface when pressed against each other. This generates a slit pore with length l = 4.8 mm defined by the crystal size and width w ≈ 80 μm depending on the applied pressure. Thus, the cylinder-on-flat geometry provides a confined area that is much larger than for conventional crossed-cylinder setups (Figure d). In in-plane scattering geometry (Figure b), the X-ray beam illuminates a sample volume of 10–3 mm3 at a slit-pore gap width of D ≈ 2.5 μm. This volume is about 10 to 50 times larger compared to that of other X-SFA setups in reflection geometry,[88,92] with the caveat of difficult alignment.

The SFA is mounted inside of a cylindrical gastight stainless steel chamber (Figure ). A helium atmosphere increases the thermal stability of the setup (±0.05 °C during an 8 h shift, ±0.01 °C during a 15 min experiment) by improving heat dissial">pation from the visible light absorbed in the sample. Moreover, helium reduces the scattering background. The relative humidity (r.h.) inside the chamber can be controlled to between 0 and 90% with ±3% stability by a humidifier inserted in the helium stream, constantly purging the chamber.

The alignment of the nanometer confinement in cylinder-on-flat geometry is measured and controlled using an interference microscope based on multiple-beam white-light interferometry (Figure b). A goniometer is used to orient the apex of the cylindrical disc in parallel with the flat surface. Successful alignment is characterized by the shape of the interference pattern (Newton’s rings) in the transmitted beam (Figure a). By tilting, the interference pattern is optimized from parabolic curves to parallel straight lines. To achieve such alignment over the entire area confined by the opposing interfaces, mica surfaces are glued to a cylindrical support to avoid wrinkling. To provide adequate stiffness, mica sheets are ideally 8 to 10 μm thick.

Micrometer screws are used to manually adjust the surfaces to a few micrometers of separation. For dynamic studies, the cylindrical surface can be moved normally and laterally against the stationary planar surface with nanometer precision using piezoelectric transducers. Horizontal sliding motion is aligned in the direction of the cylindrical contact. This maintains the confined area in the rotation center of the diffractometer and the X-ray beam. Strain gauges are used for simultaneously recording forces in both lateral and normal directions.

Figure S3 displays typical force versus distance and force versus time characteristics recorded with the X-SFA in slit-pore geometry. The maximum applied pressure is determined by the chosen combination of the piezo travel range, cantilever spring constant, and elasticity of the glue. This limits the recording of constant-approach-rate force–distance characteristics to approximately D = 200 nm. For highly viscous liquids, smaller gap widths can be achieved by applying periodic compression/decompression cycles (Figure a). Using this technique, a minimum distance of 110 nm corresponding to less than 40 smectic 8CB layers was reached. For water, a 7 nm confinement can be prepared at comparable compression forces using the same components.

Figure 10

Cyclic compression/decompression experiment at gap width 107 nm ≤ D ≤ 120 nm (trapezoidal force profile, 20 mN amplitude, 2 s ramp). (a) Time evolution of the gap distance (black) and normalized specular XRR signal I(q) (red) during 64 s compression/decompression periods. White areas indicate compression, and gray areas, decreased pressure. (b) Relative change in gap width ΔD(t) during compression (blue triangles down) and decompression (red triangles up) periods n = 1 (dark), 3 (medium), and 6 (light). (c) Overall step heights ΔD(n) extracted from gap widths averaged over the last 10 s of the holding time of subsequent half cycles.

In-Situ X-ray Scattering and Reflectivity

X-ray scattering experiments have been performed at the high-energy beamline for buried interface structure and materials processing ID31 at the ESRF-European Synchrotron Radiation Facility, Grenoble, France. Figure shows a sketch of the beamline layout and X-ray optics. The X-ray beam from a cpmU22 undulator is parallelized by the first CRL transfocator (TF1)[117,118] and monochromized by two multilayer mirrors (MLM, energy 70.0 keV). A second CRL transfocator (TF2) focuses the beam onto the sample position with a 5 × 20 μm2 spot size normal and parallel to the slit pore, respectively. To minimize the radiation dose on the sample, a seven-stage absorber (poly(methyl methacrylate), PA) and fast shutter (FS) are used.

Figure 5

Beamline setup for high-energy scattering experiments at ID31 ESRF (Feb 2016): (OH1/2) optics hutches; (EH) experimental hutch; (U22) 22 mm periode permanent magnet in-vacuum undulator; (GA) gas absorber (1 m argon at 300 mbar); (HPS1/2/3) high power slits; (TF1/2) compound refractive lens (CRL) transfocators; (MLM) horizontal multilayer double monochromator in fixed-exit geometry; (PA) PEEK (polyether ether ketone) absorber set; (FS) rotary fast shutter; (BS) beam safety shutter; (T) flight tubes; (SS) secondary slits; (MD) silicon PIN monitor diode; (HEMD) high-energy microdiffraction setup; (S) sample position; (CS) collimator slits; (DS) detector slits; (DD) silicon PIN detector diode; and (D) 2D detector (CdTe MAXIPIX). Distances are not to scale.

For sample positioning and orientation, the X-SFA was mounted onto the six-circle high-energy microdiffractometer (HEMD) setup for surface and interface studies.[115,116] Scattering intensities are alternatively detected by two 2D hybride pixel detectors. For XRR experiments requiring the detection of scattering and XRR signals with low background, a CdTe MAXIPIX system (256 pixels × 256 pixels, 55 μm pixel size) is mounted on the HEMD detector stage behind a collimation system (CS, DS). The Dectris PILATUS 3 X CdTe 2 M detector (1478 pixels × 1679 pixels, 172 μm pixel size), behind a beam stop (not shown) to absorb the primary and specular reflected beam, is mounted on a dolmen-like granite construction[119] to cover a wide q range.

Sample degradation is a common problem in experiments using high-brillant synchrotron radiation.[120] The absorbed photons affect samples via a complex cascade.[121] However, this so-called radiation damage is related to the absorbed X-ray dose. For soft matter, the absorbed dose per incident X-ray photon exhibits a minimum between 40 and 80 keV.[21,122] Experiments indicated that near solid/liquid and solid/solid interfaces X-rays absorbed not only by soft matter but also near the hard substrate surface have to be considered.[123] Therefore, under high energies X-ray illumination soft matter samples near solid interfaces tend to be much more stable compared to X-ray energies below 20 keV where most conventional scattering experiments are performed.

Although references from previous similar work might provide some hints, a quantitative prediction of the sample stability in a given experiment is difficult. For example, silane oils such as tetrakis(trimethylsiloxy)silane, tetrakis(2-ethylhexoxy)silane, decamethylcyclopentasiloxane, and octamethylcyclotetrasiloxane might decompose in the X-ray beam so quickly that time-resolved experiments in confinement could be difficult.

To probe buried interfaces in XRR, the high-energy X-ray beam impinges on the slit pore through the side of the corundum single crystal (Figure S1, length 4.8 mm, X-ray transmission 68%). Background scattering from the single-crystalline substrates is primarily caused by Compton and thermal diffuse scattering and is significantly reduced compared to that of amorphous materials. At the critical angle qc = 0.77 nm–1 of gold, the footprint on the substrate is 4.8 mm.

Density profiles perpendicular to the confining interfaces were investigated by X-ray reflectivity (XRR) (Figure c). During XRR experiments R(q) with varying incident angle α, the entire X-SFA setup is tilted by the HEMD diffractometer. Scattering experiments at α = 0 and with the momentum transfer q parallel to the slit pore probe the in-plane structure of the confined liquid (Figure b). Scattering angles were converted to momentum transfer using .

Structure and Dynamics in Confined 8CB

Smectic Liquid Crystal 8CB

As model system, we choose liquid crystal (LC) 4′-octyl-4-cyano-biphenyl (8CB). Liquid crystal 8CB has been extensively studied using crossed-cylinder SFAs and X-SFAs in transmission geometry.[78−81,124,125] Compared to other systems, it exhibits a relatively high stability under intense X-ray illumination and has been shown to be an ideal system for assessing the capabilities of an X-SFA.

At 22 °C, 8CB exhibits a smectic A (SmA) phase (Figure ). 8CB is known to form dimers by the π–π stacking of adjacent phenyl rings. This leads to a dimer dimension larger than a single 8CB molecule (Figure ).[37] The lamellar arrangement of the rod-shaped 8CB dimers in smectic layers gives rise to a pronounced scattering peak in the small-angle scattering (SAXS) regime. In 8CB, bulk measurements showed that shear stress induces alignment and a reduction of defects and initiates the growth of smectic grains.[107] For shorter homologue 6CB, resonance shear measurements in confinement detected an increase in viscosity for D < 20 nm.[126] Below 12.5 ± 1.3 nm, the orientation of the confined molecules was so large and the rigidity was so high that the LC structure could not be distorted by electric fields.

Figure 6

Rod-shaped (calamitic) structure of 4′-octyl-4-cyano-biphenyl (8CB) dimers (left) and molecular alignment in the liquid-crystalline smectic A phase (right).

Here, aside from static XRR and in-plane scattering on the LC structure in slit-pore confinement, time-resolved experiments were carried out during compression and decompression cycles. Furthermore, the recorded X-ray scattering and reflectivity data was complemented by simultaneous interferometry-based thickness measurements. Therefore, in contrast to static X-SFA[125] and macroscopic dynamic experiments,[107] our setup provides direct access to the structural relaxation dynamics of the confined LC. To study confined structures over a wide gap range, data was taken at D = 1700 nm and 120 nm gap widths. For a defined orientation of the 8CB molecules at the upper and lower interfaces, both confining surfaces were hydrophobized by self-assembled monolayers of hexadecane-thiol and octadecyl-trichlorosilane, respectively. From work by the Israelachvili group, it is known that in such hydrophobized slit pores the long axis of 8CB dimers is aligned parallel to the surface normal.[37]

Static Structure of 8CB in Confinement

Figure a shows in-plane scattering data at D = 1700 nm. In in-plane scattering geometry, experiments recording I(q∥) with momentum transfer are sensitive to the structure in the x–y plane (i.e., parallel to the solid/liquid interface (Figure b)).

Figure 7

Scattering signal from confined 8CB. (a) In-plane pattern I(q∥) recorded in the scattering geometry depicted in Figure b. (b) Measured (red) specular X-ray reflectivity R(q). Model calculated reflectivity curve (purple, vertically shifted by 1 order of magnitude) from a periodic arrangement of 560 smectic 8CB layers arranged with their long axis perpendicular to the solid/liquid interface.

Qualitatively, the recorded data exhibits the characteristic scattering pattern of a LC in the SmA bulk phase.[127,128] The sharp diffraction peak (I) at qI = 2.0 nm–1 corresponds to a real-space distance. This periodicity compares well to the periodicity of 3.2 nm for the SmA mesophase of 8CB confined in between two hydrophobized surfaces as observed in SFA experiments.[37] Therefore, it is assigned to the long axis of an 8CB dimer, defining the periodicity of the quasi-long-range-ordered liquid-crystalline smectic layers (Figure ). Around qII = 14 nm–1 a second, broad diffuse peak (II) appears. Its 0.45 nm periodicity corresponds to the average lateral distance between neighboring rod-shaped 8CB dimers within the same smectic layer. The large FWHM of 4 nm–1 originates from the short-range order perpendicular to the long axis of the 8CB dimers.

However, on the quantitative level remarkable differences with respect to nontextured bulk samples are observed. In the bulk, the integrated intensities of the sharp (I) and diffuse (II) peaks are of the same magnitude. In contrast, the recorded scattering pattern (Figure a) shows a much larger area under peak II. This is the first indication that the director of the confined LC exhibits a preferred orientation parallel to the interface normal.

Specular reflectivity I(q) probes the density profile perpendicular to the solid/liquid interface (Figure b, red curve). The critical angle of total reflection at 0.768 nm–1 is given by the large scattering contrast between the gold mirror and the Al2O3 block. At higher q, the X-ray beam is transmitted into the gold layer and the 8CB filled slit pore. Kiessig fringes of periodicity Δq = 0.15 nm–1 originate from interference at the 40-nm-thick gold layer. At approximately 2 nm–1, a sharp Bragg-like peak is observed. As observed for peak I in in-plane scattering geometry (Figure a), this reflection is attributed to the smectic order (i.e., the dimension of the long axis of 8CB dimers). For comparison, the purple curve in Figure b shows a calculated XRR curve based on a simplified model consisting of 1700 nm 8CB (i.e., 560 smectic layers with 3.2 nm periodicity) adjacent to a semi-infinite gold substrate.

At peak I around 2 nm–1, intensities recorded under the specular condition (i.e., with the momentum transfer perpendicular to the solid/liquid interface (z direction)) are more than 4 orders of magnitude higher compared to the in-plane scattering along q∥ (Figure S7). The recorded XRR signal at the peak maximum is about twice the intensity of the interpolated Kiessig fringes originating from the gold layer. Likewise, 2D scattering data show a pronounced maximum in and around the specular direction (Figure a,c). The observed angular intensity distribution over the scattering rings of constant total momentum transfer originates from the confinement-induced anisotropic orientation of the LC director. The observed scattering patterns indicate that the smectic 8CB layers are preferably arranged with their long axis perpendicular to the solid/liquid interfaces. This layered structure can now be stressed by compression and decompression exerted on the confined LC structure by moving the lower mica cylinder in the vertical direction (inset of Figure ).

Figure 8

Dynamic compression/decompression experiments at D ≈ 1700 nm. (a) Two-dimensional scattering patterns around the specular condition. The arc is located at qI = 2.0 nm–1. (b) Time evolution of compressive stress (black, 8 s ramp, 60 s holding time, 136 s period, 20 mN force amplitude), the specular XRR SmA first-order signal (red, qI = 2.0 nm–1, q direction), the in-plane-scattering SmA first-order signal (green, qI = 2.0 nm–1, q∥ direction), and the in-plane scattering diffuse signal (blue, qII = 14 nm–1, q∥ direction). Curves are scaled and vertically shifted for clarity. White areas indicate compression, and gray areas, decreased pressure. (c) Two-dimensional pattern in the in-plane direction. The arc is located at qI = 2.0 nm–1. Areas in the vertical scattering direction are masked to protect the detector from high intensities. Time stamps are numbered 1 to 5.

Relaxation Dynamics

After the experiments at a constant gap width, we now present the structural relaxation dynamics of confined 8CB that was brought out of equilibrium by periodic compression and decompression cycles. Changes in the gap width D(t) are continuously monitored by the FECO interference pattern. Simultaneously, the arrangement of the 8CB molecules is probed in real time using specular XRR or X-ray scattering.

At a D = 1700 nm gap width, confinement corresponds to about 560 smectic layers of 8CB dimers (Figure ). A symmetric trapezoidal compression/decompression sequence with an 8 s ramp and a 60 s hold time (136 s period) was applied to the confined liquid. Figure b shows the time evolution over two consecutive periodic cycles. The topmost black curve depicts the compression/decompression process. Gray shaded areas indicate decompression, and white areas, compression. The red curve shows the specular XRR signal at qI = 2.0 nm–1 with the momentum transfer pointing in the z direction (Figure b). Green and blue curves show the in-plane (x–y plane, Figure a) scattering intensities at momentum transfers of qI = 2.0 nm–1 (peak I) and qII = 14 nm–1 (peak II), respectively. XRR and scattering data were extracted from the 2D MAXIPIX data sets by integration over a region of interest of 10 × 10 detector pixels (solid angle 1.5 × 10–7 sr).

All recorded signal intensities exhibit a strong periodic time dependence following the applied stress. At t = 0 s, the confinement gap is opening. During the 8 s decompression intervals, the specular intensity drops below 60% (Figure S7, red curve). At the same time, the in-plane scattering intensity of peak I is increasing by a factor of 5 (Figure S7, green curve) whereas that of peak II is decreasing below 85% (Figure S7, blue curve). Upon subsequent compression (t = 68 s), the opposite behavior is observed. While XRR and in-plane peak II intensities are increasing, the in-plane peak I signal decreases. This indicates that upon compression/decompression the signal modulation is not dominated by the amount of 8CB inside the slit pore. Instead, scattering intensities are redistributed over rings of constant momentum transfer.

More insight into the redistribution of scattering intensities is obtained from the 2D scattering patterns. Figure shows a selection of 2D detector images recorded around the specular condition (Figure a) and in the in-plane direction (Figure c). During compression intervals (time stamp 2 and white areas), we observe a sharp specular peak. Low intensity is found in the perpendicular in-plane direction. For decompression segments (time stamps 1 and 5), the situation is reversed. Around the decreasing specular peak, tails emerge along the diffraction ring. Moreover, the scattering intensity is redistributed in off-specular directions where signal intensities increase (Figure S6). The intensity of broad scattering peak II at q∥ = 14 nm–1 in the in-plane direction (blue curve) shows inverse signal modulation. This is readily explained by the local anisotropy in the SmA phase of the rod-shaped 8CB dimers. Here, the long period exhibiting quasi-long-range order (low q, peak I) is oriented vertically. Perpendicular to this long axis, we have liquidlike short-range order with shorter periodicity (high q, peak II).

The observed redistribution of scattering intensities between specular and in-plane directions indicates that the degree of orientational order is strongly affected by compression and decompression (Figure ). LC domains not aligned in the preferred orientation with respect to the interfaces possess grain boundaries with respect to the aligned majority domain. Grain boundary energy makes these misaligned domains energetically unstable. However, under static conditions, misaligned domains can be kinetically trapped. During compression, material is squeezed in the x and y directions out of the gap. This flow induces a dynamic into the system that helps to overcome energy barriers for defect migration. In particular, the layer structure of misaligned domains with the director pointing in the flow direction will be distorted by shear. In contrast, layers with their normal parallel z direction remain intact and accommodate the 8CB dimers of the reducing misaligned domains. Therefore, the overall alignment of smectic layers parallel to the confining interfaces increases.

Figure 9

Sketch of the molecular structure of confined 8CB. The functionalized solid surfaces (blue) induce an orientation with the LC director parallel to the interface normal (brown). Grain boundary energies make misaligned domains (red) energetically unstable. However, they can gradually adjust in height during slit-pore opening. During compression, these 8CB dimers get integrated into the majority domain (brown), leading to an overall increase in alignment.

During decompression, 8CB dimers leave the interface-aligned smectic layers to fill the extra space. Newly developing domains with the director perpendicular to the surface normal can adjust their height to the gradually opening slit pore. This explains the strong 5-fold intensity increase of peak I at qI = 2.0 nm–1 in the in-plane direction (Figure S7, green curve). A similar orientation of 8CB dimers perpendicular to the majority domain has been observed in simulations.[129] They belong to so-called parking-lot states that occur as transition states when rod-shaped 8CB dimers diffuse from one smectic layer to the other.

Further information on the dynamics of structure formation is obtained from the relaxation of the scattering signal following compression and decompression. After decompression is completed, the specular intensity is gradually recovered (Figure b, red curve, time stamps 1 and 5). With a relaxation time scale of approximately 20 s, the signal is converging toward a plateau value during the 60 s holding time. However, a degree of orientational order comparable to what was observed after compression is not regained. Likewise, during compression, clear relaxation processes on comparable time scales were observes for peak I and II in the in-plane direction (Figure b, green and blue curves, time stamp 2).

The observed time scale is about 8 orders of magnitude slower compared to the molecular relaxation time for intersmectic layer correlations in the bulk.[130] In liquids confined on the molecular length scale, a slowdown in dynamics by 8 orders of magnitude was reported.[41] However, the 1700 nm slit pore contains about 560 smectic layers. Therefore, we suggest that the observed time scale originates from collective dynamics such as domain reorientation.

After discussing the results obtained for a gap width greater than 1 μm, we now present experiments at gap sizes below 120 nm. This confinement gap amounts to an equivalent of less than 40 smectic 8CB layers. At this distance, the gap width can be precisely measured by FECO.

Figure a shows the results from an XRR measurement (red curve) recored during periodic compression/decompression cycles. A trapezoidal force profile (amplitude 20 mN) with a 2 s ramp, 30 s holding time, and 64 s period was applied. Over five full compression/decompression cycles, the gap distance (black curve) decreases by approximately 10 nm. As observed for the 1700 nm slit pore, compression results in an increase in the specular XRR signal (white areas) while intensities decrease for decompression (gray areas).

During initial compression, the gap size decreases by ΔD↓ = −3.7 nm (Figure c). This distance is similar to the dimension of 3.2 nm for the long axis of an 8CB dimer (peak I). Therefore, we conclude that during initial compression a full smectic 8CB layer is squeezed out of the slit-pore. However, during decompression the gap opens by only ΔD↑ = +0.7 nm. This value corresponds to the short axis of an 8CB dimer (peak II). Accordingly, after decompression, domains with the director perpendicular to the interface normal were observed for the 1700 nm slit pore.

During subsequent compression events, the change in gap width decreases monotonically to ΔD↓ = −2.3 nm (Figure b). In contrast, during decompression ΔD↑ increases to +1.3 nm. Hence, the overall decrease in gap width per compression/decompression cycle is decreasing with time. During decompression, domains with the long axis lying parallel to the confining surfaces emerge. This indicates the formation of domains that get periodically reoriented during subsequent compression/decompression cycles.

Unlike for the 1700 nm slit pore, no clear relaxation processes indicating reorientation are observed by XRR. Likewise, after the 2 s decompression ramp only minor gap width changes were detected during the subsequent 10 s holding time (Figure b). This indicates that for the small gap width of 120 nm, corresponding to less than 40 smectic 8CB layers, and on the minute time scale defects are largely trapped. Likewise, Nakano et al. reported a relaxation time on the order of 1 h for confined 8CB under pressure.[125] Therefore, external stimuli are required to overcome energy barriers and induce domain reorientation.

Conclusions and Outlook

X-SFA in Cylinder-on-Flat Geometry

Over the last few decades, several groups presented scientific instruments to investigate the molecular-scale structure of fluids, confined inside a slit pore, by X-ray and neutron scattering techniques. Reviewing the capabilities of the complementary designs, we motivate the need for a novel approach that allows

the study of the structure of soft matter in slit pores parallel and perpendicular to the confining interfaces by specular XRR and X-ray scattering,

control of the slit-pore gap distance on the micrometer-to-nanometer length scale,

simultaneous measurements of the normal and tangential forces acting on the confining interfaces while recording X-ray scattering data, and

an investigation of the relaxation dynamics of a system that was brought out of equilibrium by compression/decompression or shear stress in time-resolved experiments.

On the basis of geometry considerations, we came up with a novel X-SFA using the cylinder-on-flat geometry. This design can fulfill all of the requirements outlined above in a single instrument. Compared to previous X-SFA designs, the cylinder-on-flat geometry allows us to increase the amount of illuminated confined sample volume by more than 1 order of magnitude. Thus, the described instrument is no longer limited to static measurements. In addition, time-resolved scattering experiments with high temporal resolution become feasible. At the same time, the X-ray dose deposited on the sample is kept at an acceptable level.

An advantage of the new X-SFA instrument is its capability for dynamic in situ studies on the response of a confined liquid after an external stimulus. The system can be brought out of equilibrium by shear stress or compression and decompression of the slit pore. Subsequently, structural relaxation dynamics are recorded by scattering techniques. At the same time, force and distance measurements provide complementary information on the dynamics of the system under sliding conditions.[36,37,82]

The feasibility of the new X-SFA geometry was demonstrated by experiments on the smectic LC 8CB. The X-SFA can be employed to create and control slit-pore confinement on the 10 nm length scale while simultaneously determining the molecular-scale structure of soft matter by X-ray scattering techniques. Furthermore, it enables the probing of structural relaxation dynamics of confined LC mesophases under stress.

Scientific Research Directions

Possible fields for future studies include systems that exhibit anisotropic nonequilibrium structures that are induced by shear forces. Shear forces can induce an orientation in confined liquids and modify their phase stability. For macromolecules, large anisotropic molecules, and LCs, such effects are already well-known.[107,126] However, compared to classical rheometers, a SFA can provide higher shear rates. This allows studies on confined liquids with lower viscosity and faster dynamics. Examples include water and short-chain alkanes, in which the influence of shear on the interfacial structure is still under debate.[104,105,131]

Moreover, the structure and dynamics of confined liquids play crucial roles in topics ranging from energy materials to environmental sciences. Examples include subjects related to the spreading of surfactants, wetting dynamics, electrolytes in electric double-layer caal">pacitors and batteries, and the structure and dynamics of confined polymer melts. In nanotribology, open questions such as friction and abrasive behavior on the nanometer length scale can be addressed.[132]

A particularly interesting research direction includes studies on confined complex electrolytes such as ionic liquids and complex solvent mixtures. These materials exhibit structural heterogeneities on the nanometer length scale.[6,7,9,30,133] At solid/liquid[25,134,135] and liquid/vapor interfaces,[19,29,136,137] layered structures have been observed. Therefore, it is anticipated that confinement can have strong influences on IL structures[138−140] and dynamics.[141,142]

Future Instrument Developments

Aside from shear and normal forces (Figure e), other stimuli can be employed to drive a confined system out of equilibrium. Examples include the application of an electrical potential (Figure f). This provides the ability to investigate the dynamics of interfacial hydration layers and the adsorption and desorption of ions in solution. Another possibility is short light pulses. They can be used to rapidly increase temperature to study phase transitions in confinement. Alternatively, light can be used to switch the conformation of molecules such as azobenzenes. Subsequently, the structural response of the confined system to conformational changes can be investigated.

With the upcoming upgrades of synchrotron radiation sources to diffraction-limited storage rings[45,46] entirely new types of scattering experiments will become feasible. Currently, typical beam sizes for high-energy X-rays at PETRA III and ESRF are in the range of 10 μm horizontally and 5 μm vertically. After the ESRF EBS upgrade, the projected beam size at ID31 will be 1 μm × 200 nm (horizontal × vertical) at a 15-times higher flux compared to the current flux. For X-SFA experiments, we foresee the potential for two important breakthroughs that are beyond current capabilities.

Currently, typical vertical beam sizes are compatible with the approximately 100-μm-wide homogeneous slit pores formed by pressing a flexible, supported mica cylinder onto a rigid, flat substrate. However, we anticial">pate that in the future hard material SFA contacts among metals, semiconductors, and ceramics will also be interesting probe systems with high relevance in industrial applications. Because of their high elastic modulus, these materials cannot adapt to the opposing flat surface. Therefore, it will be challenging to generate slit pores with constant gap thicknesses, laterally extending over more than a few micrometers. Thus, smaller horizontal beam sizes on the order of 1 μm will be highly beneficial for studying realistic systems such as wet lubricants between hard matter surfaces.

Second, there is a large amount of interest in the structure and dynamics of liquids confined between laterally heterogeneous interfaces. The heterogeneity can be related to the topography (roughness), surface functionalization (hydrophilic vs hydrophobic), or surface charge (Figure ). One of the motivations is to understand the arrangement and mobility of ions in microporous materials composed of hydrophilic and hydrophobic moieties. Thus, smaller horizontal beam sizes will open up new experimental possibilities to answer these kinds of scientific questions.

Figure 11

Smaller vertical beam sizes, available at upcoming diffraction-limited storage rings, will enable spatially resolved experiments on laterally inhomogeneous slit pores. Examples include engineered surface topographies mimicking roughness (left) and hydrophilic vs hydrophobic or negatively vs positively charged surface patterns (right).