Significance
Silica, the most abundant mineral on Earth, is exploited in many technologies and naturally occurring geological and atmospheric processes. The physical and chemical interactions between silica and water are the fundamental driving forces for water purification systems, oil extraction, and coatings. Characterizing the silica/water interface is therefore important to improve existing technologies, in particular for silica coatings, which rely on wettability and thermal-resistant properties to remain effective. We investigated the silica/water interface using a mixture of macroscopic and microscopic techniques, including experimental and theoretical surface-specific sum frequency generation spectroscopy and contact angle measurements. Strikingly, we observed the presence of water molecules non–hydrogen bonded to the nominally hydrophilic silica surface.
Keywords: hydrophobicity, sum frequency generation spectroscopy, surface science, water, silica
Abstract
Interfaces between water and silicates are ubiquitous and relevant for, among others, geochemistry, atmospheric chemistry, and chromatography. The molecular-level details of water organization at silica surfaces are important for a fundamental understanding of this interface. While silica is hydrophilic, weakly hydrogen-bonded OH groups have been identified at the surface of silica, characterized by a high O-H stretch vibrational frequency. Here, through a combination of experimental and theoretical surface-selective vibrational spectroscopy, we demonstrate that these OH groups originate from very weakly hydrogen-bonded water molecules at the nominally hydrophilic silica interface. The properties of these OH groups are very similar to those typically observed at hydrophobic surfaces. Molecular dynamics simulations illustrate that these weakly hydrogen-bonded water OH groups are pointing with their hydrogen atom toward local hydrophobic sites consisting of oxygen bridges of the silica. An increased density of these molecular hydrophobic sites, evident from an increase in weakly hydrogen-bonded water OH groups, correlates with an increased macroscopic contact angle.
Molecular-level insights into the structure and dynamics of minerals in contact with aqueous solutions contribute not only to a fundamental understanding of dissolution and sorption processes on mineral surfaces, but also to potential new avenues for their synthetic design (1, 2). Hydrophobic and hydrophilic interactions between mineral oxide surfaces and aqueous solutions are in particular relevant for water-mediated catalysis (3, 4) of organic reactions and phase separation processes used in applications ranging from liquid chromatography to mineral froth partitioning of hydrophobic and hydrophilic particles (5, 6). The surfaces of minerals, in particular, silica, have been previously characterized at the molecular level with NMR spectroscopy and mass spectrometry to determine the surface density of hydroxyl groups (7, 8). Spectroscopic evidence from NMR and IR spectroscopies have shown that, near neutral pH, the surface consists of siloxane (Si-O-Si), silanol (Si-OH), and negatively charged silanolate (Si-O−) groups (7, 9–11). The presence of surface OH groups is not limited to silica: on CaF2 interfaces in contact with NaOH solution at pH 12, Ca-OH groups have been identified (12, 13). Similarly at alumina oxide/water interfaces Al-OH groups have been shown to terminate the Al2O3 surface (14–16).
For silica, much work on silanol groups has focused on either dry silica surfaces in ultrahigh vacuum environments or under exposure to water vapor (17–21). Isolated silanol groups in air typically display a vibrational resonance around 3,750 cm−1 with ∼100 ps vibrational lifetimes (18, 19). However, typically silica surfaces are in contact with aqueous solutions. This raises the question of how the water affects the silica surface.
Surface-sensitive nonlinear optical techniques, like second harmonic generation (SHG) and sum frequency generation (SFG) spectroscopy have been used to elucidate the structure of interfacial water at the silica/water interface (10, 20–26). SHG and SFG are second-order nonlinear optical processes, where two incident beams generate an emitted field at the sum of the two input frequencies. In particular, vibrational SFG (vSFG) utilizes a mid-infrared pulse resonant with a molecular vibration and reveals the vibrational response of the interfacial molecules. The primary focus of vSFG studies on the silica/water interface is on the hydrogen-bonded O-H stretch modes, centered at 3,200 and 3,400 cm−1. However, several studies have, in addition, revealed a peak centered at 3,680 cm−1, which corresponds to O-H vibrations that are weakly hydrogen bonded, the free O-H (10, 21, 22, 27). At the silica/water interface, the free O-H can originate from the silica surface as a silanol group or an O-H group at the surface of water terminating the hydrogen bond network. The origin of the peak is difficult to ascertain with conventional (homodyne detected) vSFG spectroscopy since information on molecular orientation is contained in the sign of the response, which is lost because the intensity signal is proportional to the square of the response. Owing to the recent developments in phase-resolved vSFG spectroscopy, it is possible to probe buried solid/liquid interfaces and to determine the sign of the response and thereby the absolute orientation of the interfacial O-H groups (12, 23–25). Moreover, the vibrational and reorientational dynamics of interfacial molecules with this high vibrational frequency have been reported (28, 29). Here, we show that a combination of the phase-resolved vSFG and molecular dynamics (MD) simulations provides evidence for very weakly hydrogen-bonded water at the silica/water interface, which correlates with the macroscopic wetting properties of the surface. Furthermore, time-resolved vSFG reveals that these weakly hydrogen-bonded water molecules have similar properties as water at the water–air interface. This behavior of water is normally seen for water at hydrophobic interfaces, but not for hydrophilic interfaces. Thus, we define these water molecules as hydrophobic water, following the terminology in ref. 30.
Results
The static vSFG spectrum of water at the buried interface of an Infrasil 302 (fused) silica window in ssp polarization combination (s-polarized SFG, s-polarized visible, and p-polarized infrared) is depicted in Fig. 1A (blue line). The experiments are conducted with pure Millipore water (pH ∼ 6). Three Lorentzian-shaped resonances in the spectral region from 3,300 to 3,800 cm−1 adequately describe the data (red line). The two peaks at low frequencies (∼3,200 and 3,400 cm−1) represent hydrogen-bonded O-H stretch vibrational modes, and the peak at ∼3,660 cm−1 indicates the presence of weakly hydrogen-bonded OH groups. Although the bandwidth in Fig. 1A does not extend to 3,200 cm−1, the resonance has been well documented previously (24, 31). A detailed description of the experimental setups can be found in the SI Appendix.
The high-frequency peak was not as pronounced in all previous studies with a planar window due to different sample preparation. The peak at ∼3,660 cm−1 is more prominent following heat treatment (950 °C for 4 h) of the silica (10). This peak was observed by Dalstein et al. (10), and assigned to silanol groups. However, previous studies have contended that the density of silanol groups decreases upon heating the silica substrate, with a sharp decrease above 800 °C (8, 32). Furthermore, the full rehydroxylation of the silica substrate in contact with water has previously been found to proceed exceedingly slow (8, 9).
The origin of the ∼3,660 cm−1 peak is ambiguous; both water and silica could have free OH groups, and both are viable options to contribute to the resonance at ∼3,660 cm−1. One key difference between the free OH from water and the silanol (Si-OH) group is the molecular orientation: the free OH from water would orient with the hydrogen pointing toward the silica surface, whereas the silanol groups would be pointing toward the bulk water. It should be noted that there are different types of surface silanol groups; however, the net orientation of the OH is similar (8, 9, 33–35). One technique to address the orientation of the free OH resonance is phase-resolved vSFG spectroscopy, which measures the complex vSFG spectrum. Depending on the net orientation of the vibrational transition dipole, the response is positive or negative. Thus, phase-resolved vSFG spectroscopy can differentiate between a free OH from water pointing toward the silica surface and a silanol group with the OH directed away from the silica.
The imaginary spectrum from the phase-resolved vSFG experiments of the silica/water interface reveals two positive peaks, as illustrated in Fig. 1B. The peak centered around 3,400 cm−1 corresponds to hydrogen-bonded water at the silica/water interface. The positive sign of this peak indicates that these hydrogen-bonded water molecules are oriented with their hydrogen atoms toward the negatively charged surface, in agreement with previous results (23, 24). The peak at ∼3,660 cm−1 is also positive (Fig. 1B) and indicates the net orientation of the hydrogen atom of the OH groups contributing to this vibrational resonance are likewise oriented toward the silica surface. Therefore, the data indicate that the free OH signal originates from water molecules with the hydrogen atom of their OH groups oriented toward the silica surface, rather than from silanol groups. Further spectroscopic evidence utilizing H218O is included in the SI Appendix. Isotopic substitution of 16O to 18O shifts the high-frequency O-H stretch vibration to lower frequencies; this is not expected for silanol groups, which are not expected to exchange oxygens with nearby water. The free OH groups from water oriented toward the silica substrate dominate the spectrum, yet silanol groups, pointing toward the water may still be present at the surface.
To further characterize these hydrophobic OH groups at the silica/water interface, we employ time-resolved vSFG spectroscopy and compare their behavior with water in contact with other hydrophobic interfaces. We measure both the population lifetime and reorientation dynamics of the weakly hydrogen bonded –OH species at the silica/H2O interface. Time- and polarization-resolved measurements have previously been reported for the air/water, octadecylsilane (ODS)/water, and aqueous peptide solution/air interfaces, and we use these results as a comparison for the silica/water interface (28, 29, 36, 37).
In the time-resolved vSFG experiments, a subset of OH groups was excited with a 150-fs mid-IR excitation pulse spectrally centered at 3,640 cm−1 (green line in Fig. 1C), and the time-dependent vSFG intensity spectrum was detected with ppp polarization configuration at various times after the pump pulse excitation (Fig. 1D). The pump polarization was alternated between p- and s-polarization, which are parallel and perpendicular to the probe pulse, respectively, to probe the reorientation dynamics. The excitation pulse breaks the azimuthal symmetry at the interface, and the decay of the induced anisotropy can be followed in real time. In the absence of molecular reorientation, the bleach lifetime should not display any polarization dependence (28, 38).
Fig. 1C shows the static spectrum obtained from negative time delays from the time-resolved vSFG experiments, which clearly differs from the spectrum in Fig. 1A. For the time-resolved measurements, the polarization combination, salt concentration, and optical geometry were chosen to enhance the free OH signal. To this end, an IR-grade fused hemispherical silica substrate (Infrasil 302) is heated similarly to the previously described silica windows before being put in contact with a 10-mM salt solution. The 10-mM NaCl solution has been previously shown to reduce the intensity of hydrogen-bonded water peaks, thereby increasing the relative intensity of the free OH. The angles of incidence in the vSFG setup were set to take advantage of total internal reflection (TIR) conditions to further boost the signal (39). The employed ppp (rather than ssp) polarization combination yields higher signal-to-noise for the TIR geometry (39). Combined, these measures result in the high-frequency peak being more enhanced using the hemisphere (Fig. 1C) than the window (Fig. 1A).
The time-resolved results are shown in Fig. 1D, where the ratio of the SFG signals in presence and absence of the pump pulse is plotted as a function of pump-probe delay. The decrease in the ratio around 0 fs is the bleach of the ground state population. The offset at long delay times is due to slight heating (about a few degrees) (40) of the sample after vibrational relaxation. The time-resolved data were fit with a single exponential described by a three-level model, where a population of molecules in the ground state is excited to a vibrationally excited state and relaxes further to a heated ground state (41). The excitation pulse was modeled by a Gaussian with an FWHM of 150 fs. A single time constant, e.g., the bleach lifetime (τ1), is extracted from the fits. The bleach lifetimes were 0.8 ± 0.08 ps and 1.3 ± 0.2 ps for parallel-polarized (τ||) and perpendicular-polarized (τ⊥) excitation pulses, respectively.
Indeed, the bleach lifetimes of the “free” O-H at the silica/water interface are very comparable to that of ∼1 ps reported for the free O-H of water at the water/air interface and 1.3 ± 0.1 ps for the extended hydrophobic interfaces (28, 36, 42). In contrast, the observed dynamics are an order of magnitude faster than the ∼56 ps bleach lifetime measured for rigid surface silanol groups in contact with water (43). It should be noted, that Heilweil et al. (43) measured silica powder with physisorbed water in CCl4, but not fully in contact with water and relied on infrared transmission pump-probe measurements, rather than time-resolved SFG, each with distinct selection rules. Therefore, the time-resolved data indicates that the high-frequency peak from water pointing to the silica surface behaves similarly to water at hydrophobic interfaces.
Beyond the vibrational bleach relaxation lifetime, the dynamics contain information on the reorientation of the free OH groups at the silica/water interface. Specifically, the time-dependent difference in the parallel and perpendicularly pumped traces reflects a reorientation of excited OH groups. (28, 36) We semiquantitatively compare the results obtained here τ|| = 0.80 ± 0.08 ps and τ⊥ = 1.3 ± 0.2 ps, with results from experiments on free OH groups at the water/air interface (τ|| = 0.64 ± 0.04; τ⊥ = 0.80 ± 0.07 ps) and the extended hydrophobic ODS/water surface (τ|| = 1.34 ± 0.03; τ⊥ = 1.55 ± 0.04 ps) (28, 36). The difference between the lifetimes observed for different polarizations shows that reorientation contributes significantly to the bleach dynamics, consistent with the OH groups originating from water. It is further evident that the reorientation dynamics of the OH groups studied here at the water–silica interface are very comparable to the reorientational dynamics of free OH groups of water at the hydrophobic water/air and water/ODS interfaces.
Summarizing the dynamic studies, it is evident that both the vibrational and reorientational dynamics of the free OH feature occurs on a ∼1 ps timescale. This timescale is typical for interfacial water and therefore consistent with the OH group being part of a water molecule, rather than being a surface-bound silanol group.
Although the SFG results show there is microscopically water present that behaves like water at a hydrophobic surface, it is well known that macroscopically the silica surface is hydrophilic, as can be seen from the contact angle measurements for a nonheated and heated silica sample, illustrated in Fig. 2 A and B. The contact angles were measured to be 8.9° ± 1.0° and 20.0° ± 1.5° for the non-heat-treated and heat-treated silica window, respectively. These contact angles are in agreement with previous studies (44). The larger contact angle for the heated sample indicates a macroscopically less hydrophilic surface. Remarkably, the SFG spectra reveal that this surface, as opposed to the nonheated surface, exhibits an enhanced 3,660 cm−1 intensity in the SFG spectra (Fig. 2 C and D). This points to a clear correlation between the 3,660 cm−1 intensity, reflecting microscopic hydrophobicity, and the macroscopic contact angle. Apparently, water with very weakly hydrogen-bonded OH groups, i.e., hydrophobic water, is present at a hydrophilic surface.
The molecular origin of this very weakly hydrogen-bonded water is not a priori evident: it could originate from a saturation of the hydrogen bond acceptors from the silica, rendering unpaired free OH groups from water. Another explanation could be steric hindrance at the surface, resulting from, e.g., a spatial mismatch between the typical distance between hydrogen bond donors of the interfacial water network, and that of the hydrogen-bonded acceptors at the silica surface.
To unravel the origin of this very weakly hydrogen-bonded water, we performed density functional theory (DFT) MD simulations. Silica surfaces are composed of Si-OH silanols, which have various pKa activity (11, 45, 46) and Si-O-Si siloxane bridges, known as hydrophilic and hydrophobic sites, respectively (11, 47). The surface density of silanols reveals the hydrophilic/hydrophobic character of the surface, with 4–5 SiOH/nm2, which is representative of hydrophilic surfaces and 1–2 SiOH/nm2, which is representative of hydrophobic ones (11). SFG phonons (48) do show the existence of hydrophobic surface siloxanes at hydrophilic silica surfaces. Two silica models are used in the DFT-MD simulations, differing by the degree of surface hydroxylation (11), i.e., 4.5 (hydrophilic) and 3.5 (less hydrophilic) SiOH/nm2. The 3.5 SiOH/nm2 surface is chosen as a qualitative model for the effect of the heating treatment in the experiment (11). The simulations are performed at the point of zero charge, which also corresponds to the isoelectric point. Further discussion regarding the effect of surface charge on both the experimental and theoretical spectra can be found in the SI Appendix.
The vSFG spectrum (Imχ(2)) of interfacial water has been extracted from the DFT-MD simulations, following our recent works (49–51) (black lines in Fig. 3, details in the SI Appendix) for the 3,500–3,800 cm−1 spectral region for each silica–water interface. The vSFG spectral intensity in this range can be traced to the 3-Å-thickness water monolayer at the direct interface with the silica surface (binding interfacial layer [BIL], see SI Appendix and refs. 49 and 50) and more specifically to contributions from two distinct water OH groups (dashed red and green lines in Fig. 3; details in the SI Appendix). Within the BIL, water molecules with one OH group pointing toward a siloxane bridging oxygen atom solely produce the positive band at 3,660 cm−1 (green line in Fig. 3). The high frequency of these features indicates the quasi-free nature of the OH groups. The water molecules with one OH group pointing toward an in-plane surface silanol site give rise to the broad positive vSFG band, centered at 3,470 cm−1, illustrated as red lines in Fig. 3 and showing only the tail of the band in the 3,500–3,800 cm−1 range of interest here. On average, the latter water population has no dangling O-H, while the O-H pointing toward the siloxane bridge in the former water population is the only dangling O-H. The surface silanol sites do not contribute to the vSFG spectral features in the 3,500–3,800 cm−1 range (see SI Appendix where we show that only the in-plane silanols have vibrational signatures in the 3,500–3,800 cm−1 range, however not vSFG active because of their in-plane orientation). Note that although the DFT-MD-vSFG is obtained at the isoelectric point (pH ∼ 2) the experiment is measured at pH ∼ 7, where the surface is slightly negatively charged, hence providing an overlapping diffuse layer vSFG positive contribution at 3,200–3,400 cm−1 (51, 52). This does not affect the 3,660 cm−1 band of interest in this work.
The number of water molecules that belong to these two populations depends on the degree of hydroxylation of the surface. We find that the water population with one OH group pointing toward a siloxane bridge increases from 0.8 to 3.0 water molecules/nm2 when going from 4.5 to 3.5 SiOH/nm2 surface silica hydroxylation. With increased silanol density, fewer water molecules interact with siloxane bridges due to steric hindrance by adjacent silanol groups. Removing one SiOH/nm2 from the silica surface leads to the reconstruction of the surface, creating one siloxane bridge and one desorbed water starting from two surface silanols. Without these silanols, the siloxanes are now free to interact with water and hence give rise to the observed roughly 4 times increase in water interacting with siloxanes.
There is spectroscopic evidence from experiments and simulations of water dangling/quasi-free OH groups at the direct interface with nominal hydrophilic silica surfaces. This counterintuitive result stems from the coexistence of hydrophilic and hydrophobic patches on the silica surface. This is derived from the DFT-MD simulations and illustrated in Fig. 4 by correlating the spatial distribution of surface silanol/siloxane (exposed) sites with the spatial distribution of BIL-water molecules that have one dangling O-H group with the 3,660 cm−1 vSFG signature for two surfaces with a different silanol density. The lateral (x–y directions along the solid surface) spatial distribution of silanol groups (represented by gray balls) and siloxane sites (Si-O-Si represented by red O atoms) at the two silica surfaces are presented in Fig. 4 A and C, Left. The corresponding density of BIL water with one 3,660 cm−1 O-H group is presented in Fig. 4 B and D, Right, over the same lateral dimensions and same orientation of the silica surfaces. The maximum density is in red in these plots. A one-to-one correspondence between siloxane sites and quasi-free OH density is clearly observed.
Fig. 4 A and C nicely show that there is a nonuniform distribution of silanols and siloxanes at the two silica surfaces, with coexisting silanol-rich (hydrophilic) and siloxane-rich (hydrophobic) domains at the surfaces. The red line in the figures indicates the most hydrophobic surface areas where the silanol density is ≤1.5 SiOH/nm2. Clearly, hydrophobic patches are present at a nominally hydrophilic silica surface, in agreement with ref. 47. Such hydrophobic patches have also been identified at model solid surfaces (53) and self-assembled monolayers (54). Not surprisingly, the dimension of these patches is dependent on the surface degree of hydroxylation. We find one large hydrophobic patch made of five siloxane bridges at the 3.5 SiOH/nm2 silica surface, while the hydrophobic patch consists only of two adjacent O-Si-O sites at the 4.5 SiOH/nm2 surface. Thus, the latter surface can be seen as more hydrophilic, which is in agreement with the experimental results showing a smaller contact angle in combination with the absence of a high frequency vSFG signal. Based on the DFT-MD results, we thus conclude that surface hydrophobic patches induce areas in the water layer in direct contact with silica, which are composed of water molecules with one quasi-free O-H group interacting with the siloxane bridges of the hydrophobic patches. These molecular groups are responsible for the 3,660 cm−1 vSFG feature.
The relationship between macroscopic contact angle measurements and microscopic vSFG spectroscopy can furthermore be rationalized as follows: the decrease in surface silanols, macroscopically probed with the increase in contact angle, results in an increase of exposed O-Si-O siloxane bridges at the surface that consequently result in water quasi-free O-H groups at the direct interface with silica, solely contributing to the vSFG intensity at 3,660 cm−1.
Molecular-level insights into the structure and dynamics of minerals in contact with aqueous solutions contribute not only to a fundamental understanding of dissolution and sorption processes on mineral surfaces but also to potential new avenues for their synthetic design. This study explores the tunable hydrophobicity of silica surface chemistry in contact with water, both on a macroscopic and molecular scale. The spectroscopic results and MD simulations unambiguously show that the free OH peak observed at the water-fused silica interface is due to water. The OH groups are oriented toward the surface of silica, specifically toward siloxane bridges, and the dynamics of the free OH groups at the silica/water interface are quantitatively comparable to the free OH at the air–water interface, both regarding its reorientational and vibrational dynamics (28, 29). Our study reveals water interacting with hydrophobic patches at the nominally hydrophilic silica/water interface.
Methods and Materials
Samples.
Sodium chloride (NaCl) was purchased from Sigma-Aldrich (99%) and H218O (97%) was purchased from Euriso-top. The NaCl was heated to 550 °C for 3 h to remove impurities. The Infrasil 302 silica samples were in two different geometries, 10-mm diameter hemispheres (CVI Melles Griot) and 25 mm × 2 mm windows (Korth Kristalle). The hemispheres and the windows (both heated and nonheated) were sonicated in ethanol, water, and then immersed in 3:1 Piranha solution for 10 min. The “heated” samples were subsequently heated at 950°C for 4 h and after cooling down, the samples were placed in 3:1 acidic Piranha solution for 10 min. All glassware was sonicated in Deconex, ethanol, and Millipore water for 15 min and finally rinsed thoroughly with Millipore water.
Phase-Resolved SFG Spectrometer.
The phase-resolved SFG spectrometer utilizes pulses centered at 800 nm and ∼40 fs in duration, which are generated from a Ti:Sapphire regenerative amplifier (Spitfire Ace; Spectra-Physics). A portion of the output is directed to an optical parametric amplifier (Light Conversion TOPAS-Prime) with a noncollinear difference frequency generation stage to produce pulses centered around 3,600 cm−1 (IR). Another portion of the regen output (∼1 mJ) is passed through an etalon to provide a 25 cm−1 visible pulse (VIS) and sets the spectral resolution of the SFG experiments. The IR and VIS pulses are focused with 5- and 100-cm lenses, respectively, and overlapped in time and space on a gold mirror to generate the local oscillator (LO). The IR, VIS, and LO are directed to a 5-cm focal length curved mirror and focused at the sample, an Infrasil 302 silica window in contact with water. The angles of incidence with respect to the surface normal of the silica–air interface are ∼45° for the IR and 40° for the VIS. The LO is delayed relative to the IR and VIS pulses with a 1-mm-thick fused silica plate. The LO and the SFG signal are directed to a spectrometer (Acton SP-2300; Princeton Instruments) and measured on an electron-multiplying charge-coupled device camera (Newton 970; Andor). The phase-resolved SFG spectra were collected for 5 min in the ssp polarization combination. An intensity spectrum can also be measured with the phase-resolved SFG spectrometer by blocking the LO signal. Further details on the phase-resolved measurements, and data analysis can be found in the SI Appendix.
MD Simulations.
Born–Oppenheimer DFT-MD simulations have been carried out on amorphous silica/liquid water interfaces, consisting in the Becke Lee Yang Parr (BLYP) (55, 56) representation including the Grimme D2 correction for dispersion (57, 58). Two hydrophobic silica models have been chosen, displaying a surface degree of hydroxylation of 4.5 SiOH/nm2 (i.e., eight SiOH groups in the simulation box) and 3.5 SiOH/nm2 (six SiOH in our simulation box), respectively. The amorphous silica models are taken from Ugliengo et al. (59). The surfaces in contact with air have a 4.5 and 2.4 SiOH/nm2 coverage in silanols that become 4.5 and 3.5 SiOH/nm2, respectively, once the surfaces are put in contact with water (see SI Appendix for more details). Theoretical vibrational sum frequency generation spectra of the silica/water interfaces (including both water and solid contributions) are calculated using the formalism presented in refs. 51, 60. We refer to SI Appendix for more details about the computational setup and theoretical spectra calculations and their microscopic assignments.
Supplementary Material
Acknowledgments
We thank Azadeh Sharifi for assistance with the contact angle measurements; Eric Tyrode, Jonathan Liljebald, and Shumei Sun for helpful discussions; Malte Deiseroth for the analytical solution for the fit function for the time-resolved data; and Hansjörg Menges and Marc-Jan van Zadel for excellent technical support. We thank Wybren-Jan Buma for suggesting the H218O experiments and P. Ugliengo for sharing amorphous silica models. High-performance computing resources from Grand équipement national de calcul intensif (GENCI)-France Grant 072484 (CINES/IDRIS/TGCC) are acknowledged. J.D.C. acknowledges the Alexander von Humboldt Foundation for financial support. This work was funded by a European Research Council Starting Grant (Grant 336679) and the bilateral France-Germany ANR-DFG DYNAWIN Grant 14-CE35-0011-01 and BA 5008/3.
Footnotes
The authors declare no conflict of interest.
This article is a PNAS Direct Submission. B.M.P. is a guest editor invited by the Editorial Board.
This article contains supporting information online at www.pnas.org/lookup/suppl/doi:10.1073/pnas.1819000116/-/DCSupplemental.
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