Probing Dynamics of Water Mass Transfer in Organic Porous Photocatalyst Water-Splitting Materials by Neutron Spectroscopy

The quest for efficient and economically accessible cleaner methods to develop sustainable carbon-free energy sources induced a keen interest in the production of hydrogen fuel. This can be achieved via the water-splitting process and by exploiting solar energy. However, the use of adequate photocatalysts is required to reach this goal. Covalent triazine-based frameworks (CTFs) are potential target photocatalysts for water splitting. Both electronic and structural characteristics of CTFs, particularly energy levels, optical band gaps, and porosities are directly relevant to water splitting and can be engineered through chemical design. Porosity can, in principle, be beneficial to water splitting by providing a larger surface area for the catalytic reactions to take place. However, porosity can also affect both charge transport within the photocatalyst and mass transfer of both reactants and products, thus impacting the overall kinetics of the reaction. Here, we focus on the link between chemical design and water (reactant) mass transfer, which plays a key role in the water uptake process and the subsequent hydrogen generation in practice. We use neutron spectroscopy to study the mass transfer of water in two porous CTFs, CTF-CN and CTF-2, that differ in the polarity of their struts. Quasi-elastic neutron scattering is used to quantify the amount of bound water and the translational diffusion of water. Inelastic neutron scattering measurements complement the quasi-elastic neutron scattering study and provide insights into the softness of the CTF structures and the changes in librational degrees of freedom of water in the porous CTFs. We show that two different types of interaction between water and CTFs take place in CTF-CN and CTF-2. CTF-CN exhibits a smaller surface area and lower water uptake due to its softer structure than CTF-2. However, the polar cyano group interacts locally with water leading to a large amount of bound water and a strong rearrangement of the water hydration monolayer, while water diffusion in CTF-2 is principally impacted by microporosity. The current study leads to new insights into the structure-dynamics–property relationship of CTF photocatalysts that pave the road for a better understanding of the guest–host interaction on the basis of water-splitting applications.


■ INTRODUCTION
Hydrogen has been suggested as the energy carrier of the future as it can be stored and does not emit greenhouse gases at the point of use. 1 However, most hydrogen is still produced using steam reforming processes emitting large amounts of carbon dioxide when produced. The generation of hydrogen using clean methods has, therefore, become an area of intense research. Photocatalytic water splitting has been of particular interest as it uses water and solar light, which are abundant on the Earth's surface. 2−5 In the process, a catalyst is used to generate charge carriers that facilitate water reduction and oxidation. The catalysts are typically inorganic semiconductors. 2,3 Tremendous progress has been made in recent years in terms of improving photocatalysts and the overall systems. 1,6 Nevertheless, organic materials have received significant attention in the past decade as they can be synthesized using many potential building blocks. Hence, the properties of the materials can be tuned by chemical design. 4,7 Particularly, carbon nitrides have been studied as organic photocatalysts. Carbon nitrides are usually made through high-temperature condensation reactions and, exhibit, as a result, many defects including end groups. 8,9 Linear conjugated polymers, 10−16 conjugated microporous polymers (CMPs), 16−24 covalent triazine-based frameworks (CTFs), 25−28 and covalent organic frameworks (COFs) 29 −33 have also been extensively studied in recent years allowing for fine-tuning of material properties. Several factors have been identified to be of a key importance for the activity of polymer photocatalysts, such as the ability of a photocatalyst to absorb light, 13,21,23 the position of the redox potentials, 13 exciton separation, 14 crystallinity, 29 and wetting of the surface. 15,17,20 Sufficient driving forces for both half-reactions (proton reduction and water/hole scavenger oxidation), the number of absorbed photons, and the dispersibility of the catalyst in the reaction mixture are necessary properties but not sufficient conditions for a linear conjugated polymer or a CTF to be an active photocatalyst. The two-best performing CTFs among 44 synthesized CTFs were CTFs with polar groups, cyano groups or sulfone groups, in their linkers. 26 Previously, modeling suggested that adding sulfone groups increased the polarity of the local environment of the photocatalyst and thus improved the thermodynamic driving force for the oxidation. 34,35 However, for both families of materials, the hydrogen evolution rates, at least when used with triethylamine as a hole scavenger, were rather limited by thermodynamic driving forces for proton reduction than by light absorption or the oxidation of the hole scavenger. Indeed, electron affinity and dispersibility were found for CTFs to be the dominant variables. 26 Better dispersibility leads to a larger interfacial surface area between the photocatalysts and the reaction mixture. In the case of porous photocatalysts, such as covalent organic frameworks (COFs) and CMPs, large Brunauer−Emmett−Teller surface areas (SA BET ) have been suggested to be partly responsible for their enhanced photocatalytic activity as active sites within the material can potentially be accessed by water. 18,29,36,37 However, in a previous paper, we studied CMPs and their linear polymer analogues and found that the porous materials do not always outperform their nonporous analogues. 36 Beyond the thermodynamic properties such as driving forces, one should not forget about the kinetics of the photocatalytic water-splitting process. Microporosity is likely to reduce the exciton diffusion and charge mobility in the solid state and constrain the diffusion of both reactants and products in the pore. Therefore, it is important to gain a deeper understanding of the quantitative relationship between chemical structure and mass transfer of reactants in organic porous photocatalysts.
Measurements, such as water uptake do not provide any information about water dynamics, and crucially, no information about the interaction of water with the surface of the materials at the molecular level can be obtained. Organic materials are made mainly of light elements. Neutrons, unlike X-rays, do not discriminate against atomic species as a function of their size. Neutrons are, in particular, very sensitive to hydrogen atoms, and thus, deuteration can be used for a contrast variation purpose between the photocatalyst and water (Table 1).
Neutrons are therefore a useful probe to study both organic photocatalysts and water. Neutron spectroscopy allows probing length scales and time scales relevant to the atomic and molecular interactions, covering the microscopic guest−host dynamics that takes place on the picosecond and nanometer scales. Thus, neutron spectroscopy is a useful technique to understand the dynamics and interaction of water guest molecules in organic photocatalytic porous host materials. In this context, quasi-elastic neutron scattering (QENS) and inelastic neutron scattering (INS) have been applied recently to map in detail the microstructural dynamics up to the nanosecond of the conjugated polymer poly(3-hexylthiophene), under both its regioregular and regiorandom forms. 38 QENS has been used to study diffusion pathways and relaxation time scales of lithium ions in inorganic battery active materials, 39 methane diffusion in metal−organic frameworks, 40 and the rotational dynamics of hydrogen adsorbed in covalent organic frameworks. 41 QENS has also been used to study the state of water when interacting with oligonucleotide crystals 42 and porous organic cages, 43 showing distinct differences between bulk water and confined water interacting with the crystal surface. We previously studied water penetration and dynamics for a polar dibenzo[b,d]thiophene sulfone and a fluorene CMP using QENS in the context of photocatalysis; 36 however, the materials in the study were vastly different in terms of their polarity and water uptake.
Here, we study the influence of the network structure on the dynamics of water transfer within the networks of CTFs by means of neutron spectroscopy (QENS and INS). QENS enables us to study the underlying dynamics of water within the networks, and INS allows us to draw conclusions about interactions of water with the network at the molecular level. Water can exhibit different degrees of freedom within a host material, and as such free water can undergo transition to a constrained (or trapped) state or can be of a bonding nature. We select as a model system the previously reported CTF-2, 25 which contains an apolar biphenyl linker, and CTF-CN, 26 which contains a polar cyano group in the linker. Importantly, CTF-2 and CTF-CN present similar properties, such as electron affinity, ionization potential, optical band gap, and the ability to swell. 25,26 This allows us to study two structurally related porous materials that differ in the length and polarity of their struts.

■ RESULTS
Both CTF-2 25 and CTF-CN 26 ( Figure 1) were made using previously reported methods and tested as photocatalysts for hydrogen production from water in the presence of triethylamine. 25,26 Platinum was added post-synthesis as a cocatalyst via photodeposition from H 2 PtCl 6 , and linear rates of 118 μmol h −1 g −1 for CTF-2 and 595 μmol h −1 g −1 for CTF-CN were determined ( Figure 1b). Residual palladium from the synthesis step also acts as a co-catalyst. Note that, as reported previously, 25,26 even without adding platinum, significant hydrogen production from both CTF-2 and CTF-CN can still be observed. Both materials were found to be porous to nitrogen with SA BET determined to be 873 m 2 g −1 for CTF-2 and 548 m 2 g −1 for CTF-CN (Figure 2a). The higher SA BET observed for CTF-2, although having a shorter linker, is in line with the previous study, where CTF-2 was found to have a higher SA BET than CTF-1 (one phenylene) and CTF-3 (three phenylenes). 25 The relatively high SA BET of both materials together with the hydrophilic triazine building block in the materials may allow for water penetration into the network. The pore size distribution, extracted from the nitrogen sorption isotherm presented in Figure 2 using the Barrett−Joyner−Halenda (BJH) method, 44 shows the presence of micropores for both CTF-2 and CTF-CN and the additional presence of mesopores in the case of CTF-CN only (Supporting Information, Figure S3). Micropores in CTF-2 are found to be slightly wider than those in CTF-CN. Interestingly, from water sorption measurements (Figure 2b), CTF-2 shows higher water uptake than CTF-CN. Water sorption seems to be linked with the higher surface area of Chemistry of Materials pubs.acs.org/cm Article CTF-2 rather than to the increased polarity of CTF-CN, although condensation due to the interaction of water with the surface cannot be ruled out. Further structural and optical characterization of both materials can be found in refs 25, 26. We probe the molecular diffusivity of water on the surface/ within the pores of the CTFs to quantify the internal mass transfer of water in this system using QENS. As stated above, significant hydrogen production from CTFs was observed without adding platinum. 25,26 Platinum has a non-negligible neutron absorption cross section, weakening the scattered signal, and could additionally add further complication to the analysis and interpretation of the neutron spectroscopy data. The aim of the present study is to focus on the dynamics of CTFs and water, as the main and unique components of the guest−host system. The CTFs were therefore not loaded with platinum for the present neutron scattering study. The QENS study, offering insights into the local guest−host dynamics, is underpinned by INS to gain further insights, vibrationally, into the water interaction with the CTFs leading to the transition from free water to constrained and bound water. We used two neutron incident wavelengths (5 and 8 Å) to enhance the QENS resolution (8 Å) at low Q and to cover an extended Q range (5 Å). Indeed, the use of the 5 Å setting gives a resolution at the elastic line of ∼0.1 meV and a Q range of 0.2−2.3 Å −1 , while the 8 Å setting leads to an improved resolution of 0.03 meV but a limited Q range of 0.1−1.3 Å −1 . This should enable capturing suitably both the translational and rotational motions of water. Table 1 gathers the neutron incoherent cross section of the different systems presently studied, highlighting how neutron spectroscopy is very sensitive to hydrogens, and the usefulness of using deuterated water (D 2 O) to enable further tuning the contrast between the CTFs (host) and water (guest) and potentially revealing the impact of water on the CTF molecular motions. Figure 3 presents the neutron diffractograms, the generalized phonon density of states (GDOS), 45 and the QENS spectra of the dried CTF-CN and CTF-2.
In line with their powder X-ray diffraction patterns, 25,26 both CTFs appear rather amorphous with a broad diffraction peak at around 1.5 Å −1 (Figure 3a). CTF-CN seems to exhibit another Bragg peak at low Q's, ∼0.3 Å −1 . The GDOS spectra ( Figure 3b) exhibit similar features, both in terms of phonon bands and the slope of the Debye growth (0−10 meV region, inset Figure 3b), for both CTFs. These features are more pronounced in the case of CTF-2, pointing toward a stiffer and more frustrating aspect of the structure of CTF-2. Moreover, the Debye growth of CTF-2 seems to be slightly red-shifted with respect to that of CTF-CN, which points toward CTF-2 being more disordered than CTF-CN. Although the QENS spectra feature some resemblance with a strong elastic contribution, CTF-CN exhibits noticeable dynamics within the covered energy range, either at 8 Å ( Figure 3c) and 5 Å (Figure 3d). From these measurements, it is clear that the smaller linker of CTF-2 with two benzene rings leads to a stiffer structure than CTF-CN as observed by INS and that the relatively higher softness of CTF-CN leads to more pronounced dynamics, as observed in the QENS data. Figure 4 shows the GDOS spectra of CTF-CN and CTF-2, both dried and mixed with either H 2 O or D 2 O. Interestingly, almost no differences are observed in the GDOS of CTF-2 upon addition of D 2 O, while the changes in GDOS spectra of CTF-CN cannot be simply explained by a neutron weighted average (concentration, neutron scattering cross sections) of the spectra of CTF and D 2 O, especially for the strength of the peak at around 10 meV. Moreover, softening of the structure of CTF-  Chemistry of Materials pubs.acs.org/cm Article CN upon hydration is reflected by a red shift of the slope of the Debye growth (energy range 0−10 meV, insets of Figure 4) and is not observed for wetted CTF-2. This points toward the occurrence of specific interactions between CTF-CN and water, leading to a further ease for accommodating water in the CTF-CN structure, which could be due to the presence of the −CN group. 26 The GDOS spectra upon addition of H 2 O are dominated by the H 2 O signal, and no clear indication of interactions can be seen without further analysis. Insights into the specific behavior of water in the two CTFs can be gained by exploiting the GDOS of water and wetted CTFs. Figure 5 shows the GDOS of H 2 O as a "reference", compared to the difference of the GDOS of the wetted CTFs (CTF-2:H 2 O or CTF-CN:H 2 O) and dried CTFs (CTF-2 or CTF-CN, respectively). The differences are obtained as follows where σ is the neutron cross section, m is the mass of the material in the sample, and G (n) (E) the measured area-normalized GDOS. The differences in GDOS can be thus seen as the signal of H 2 O in the CTFs. The broad peak at around 80 meV for bulk H 2 O is assigned to the libration of water and is fitted with three Gaussians (solid lines) representing the rock, wag, and twist modes of water. 46 The hindrance of the librational degrees of freedom of water in CTF-CN is a clear indication of the transition from free water to constrained water or bound water, and this will be further quantified below. The changes in the low-energy features could reflect a change in the organization of water, especially in the hydration monolayer of both CTFs, with a more pronounced effect on CTF-CN. Figure 6 shows the QENS spectra of CTF-CN and CTF-2, both dried and mixed with either H 2 O or D 2 O. When D 2 O is added, no noticeable differences, as compared to the dried case,   The broad peak at around 80 meV is assigned to the libration of water and is fitted with a combination of three Gaussians representing the rock, wag, and twist modes of water. 46 The QENS signals can be fitted to extract quantitative information about the mass transfer of water within the present CTF materials and also to estimate the amount of bound water in both CTFs. The dynamic structure factor of water S water (Q,ω) can be expressed as a convolution of the dynamic structure factors of the vibrational S V (Q,ω), translational S T (Q,ω), and rotational motions of water S R (Q,ω). 48 where j k is the kth Bessel function, a is the radius of rotation and is taken to be the O−H distance in a water molecule (0.98 Å), ℏ is the reduced Planck constant, and τ R denotes the relaxation time of rotational diffusion. Considering the resolution of the instrument R(ω) and the above equations, the QENS signal of water I water (Q,ω) can be rewritten as follows Within the random-jump-diffusion model, 51 the Q dependence of Γ T is given as follows where D T and τ 0 are the translational diffusion constant and the residence time of the translational diffusion, respectively. In the low-Q limit, Γ T (Q) can be approximated by D T Q 2 , while in the high-Q limit, Γ T (Q) is approximately equal to τ 0 −1 . We fit the QENS spectra of water using the above-described model. A(Q), B(Q), Γ T (Q), and τ R are fitted for both wavelengths, 5 and 8 Å, and for all of the Q's. τ R is shared through the entire data set, and Γ T (Q) is shared between the two wavelengths for the overlapping Q range. The results of the fits are presented in Figure 7. The adopted model fits well both H 2 O and D 2 O. The Q dependence of the extracted HWHM for H 2 O follows the expected model behavior, and the extracted values for τ R , D T , and τ 0 are in good agreement with the literature (see Table 2). Although the same behavior is observed for D 2 O for Q values up to 1.4 Å −1 , a different trend is observed for higher Q's because D 2 O presents a strong Bragg peak centered at a higher Q, around ∼1.8 Å −1 . Thus, the corresponding QENS spectra cannot be adequately fitted and are therefore discarded.
We fit the QENS signals of the two CTF materials using the same model for water to account for both constrained and free water and by adding an extra contribution for the CTF as follows   Figure S1). A(Q) is fixed here and taken to be equal to the values extracted from the fit to the free water (see Supporting Information Table S1). Figure 8 presents the HWHM of the Lorentzian fits, of the QENS spectra, which accounts for the translational motion of water (Γ T ) for the different samples presently studied, except for CTF-CN:D 2 O. Surprisingly, no differences between Γ T of free water and Γ T of water in CTF-CN are observed within the error of the experiment/fit, while water in CTF-2 appears to be constrained with slower translational diffusion and a longer residence time (τ T ) ( Table 2). For both CTFs, about 10 wt % of water (Table 2) is either subjected to too slow motions, not captured by the instrumental time window, or is bound to the CTFs. This amount is seemingly slightly higher in the case of CTF-CN.
We can fit the CTF-2:D 2 O sample at lower Q's (the higher Q's being impacted by a strong Bragg peak of D 2 O), and the extracted HWHM overlaps with the one extracted from the CTF-2:H 2 O. It can be concluded from the very small change in the elastic peak between CTF-2 and CTF-2:D 2 O (Figure 6c,d) combined with the HWHM overlap that almost no differences in dynamics are observed in the covered energy range for CTF-2. The differences in QENS spectra of CTF-2 observed in Figure  6c,d, upon adding D 2 O, are mainly due to the presence of constrained D 2 O and the higher concentration of D 2 O used with CTF-2 than with CTF-CN.

■ DISCUSSION
The shorter strut of CTF-2 renders the structure stiffer. The softer structure of CTF-CN as measured by INS is correlated with a more pronounced dynamics on 10 s of picosecond time scale, as probed by QENS. The CTF-CN pore structure is thus more likely to collapse, and this can be correlated with the smaller SA BET .
We observed a guest/host type of dynamics for (wetted CTF-CN) CTF-CN:water. Further softening of the CTF-CN structure is observed by INS upon addition of water, while the librational degrees of freedom of water in CTF-CN are clearly hindered as shown by the changes in the rock, wag, and twist modes of water within CTF-CN. No significant changes are observed in the case of CTF-2. The dynamics of both CTF-CN and CTF-2 on a longer time scale (10 s of picoseconds) as measured by QENS is unchanged upon hydration. Moreover, more pronounced changes in the low-energy feature of water in CTF-CN are observed by INS. This indicates that a more pronounced change in the organization of water is occurring in the hydration monolayer of CTF-CN, leading to the hindrance of the libration of water in the hydration monolayer of CTF-CN. The hindrance of the librational degrees of freedom of water and the strong reorganization of water in CTF-CN are a clear indication of the transition of water from a free state to a bound state. From our QENS analysis, we found the amount of bound water in both CTF-CN and CTF-2 to be about 12 and 9 wt %, respectively. No further constraint of water is observed for CTF-CN, while the translational diffusion of CTF-2 is clearly hindered in the case of CTF-2. It is worth noting that (i) our model does not discriminate between bound water and water with motions too slow to be captured by the instrumental time window and (ii) the diffusion coefficient estimated from our model is an effective average between the diffusion coefficients of constrained water and free water.
In light of the above observations, it is reasonable to conclude that water and CTFs interact through two different mechanisms in CTF-CN and CTF-2. CTF-CN exhibits smaller SA BET and water uptake as the pore structure is softer. However, the −CN group interacts locally with water leading to a large amount of bound water and strong rearrangement of the water hydration monolayer. This gives rise to a guest/host dynamics-type in CTF-CN. Water translational diffusion is not impacted in the case of CTF-CN, probably due to the presence of larger pores (mesopores), as found from the extracted pore size distribution. In CTF-2, water diffusion is impacted as expected by the microporosity. The bound water observed by QENS is likely to be water diffusing too slowly to be captured by the instrumental resolution, as no strong evidence of bound water is observed by INS.

■ CONCLUSIONS
Covalent triazine-based frameworks (CTFs) are potential organic photocatalyst materials for water splitting. The strategies Chemistry of Materials pubs.acs.org/cm Article to boost the rate of hydrogen production in organic photocatalysts have been so far to extend the overlap with the solar spectrum and reduce the thermodynamic driving forces as well as speed up the kinetics of the multi-electron redox reactions by sacrificial agents and co-catalysts. However, a rational design is still elusive as there is still a lack of an in-depth understanding of the processes occurring in a solvated catalyst. 52 The aqueous medium has been shown to ease the dissociation of the diffused excitons at the interface between the organic photocatalyst and water due to higher relative permittivity, but this also means that the degree of solvation of the photocatalyst, as well as the organization of the local environment and its permittivity and polarity when using a sacrificial agent, can impact the thermodynamic force as well as the kinetics of the reactions. This is more striking for porous materials, with porosity that should be beneficial to increase the photocatalyst surface area, but does not always lead to higher activities. 36 Understanding the link between chemical design and the local environment is therefore necessary.
Studying the microscopic interaction of water with the CTFs and the dynamics of the related mass transport within CTFs is of utmost importance to help better characterize CTF properties with targeted tunable applications. In this context, we studied two CTFs, CTF-2 and CTF-CN, presenting structural differences in terms of the length and the polarity of their struts. CTF-CN has a longer strut (three benzene rings against two for CTF-2) and has a polar −CN group. CTF-2 and CTF-CN exhibit similar electron affinities, ionization potentials, optical band gaps, and they both swell. Surprisingly, the least performing CTF, CTF-2, presents the largest SA BET and water uptake. First, this seems counterintuitive as larger SA BET and larger water uptake are believed to be beneficial to water splitting as it increases the photocatalyst interfacial surface area. However, previous modeling of oligomers with polar groups suggested that the local environment of the polar group becomes more polar, improving the driving force for the oxidation half-reaction. It appears that macroscopic measurements such as water uptake are not sufficient to explain the mechanism by which the −CN group leads to better photocatalytic water splitting.
In this paper, we presented a detailed neutron spectroscopy study of CTF-2 and CTF-CN allowing us to probe and quantify the local water environment (bound water) and the related diffusion within the pores. Indeed, beyond the thermodynamic properties such as driving forces, the kinetics of the photocatalytic water-splitting process can be impacted by microporosity. Microporosity is likely to reduce the charge mobility in the solid state and constrain the diffusion of both reactants and products in the pore. Here, we found that the −CN group promotes bound water and a strong rearrangement of the water hydration monolayer. However, the water translational diffusion is not impacted. In CTF-2, water diffusion is impacted as expected by the microporosity. Water dynamics should be balanced with the rate of reactions on the catalyst surface, which is still required to be studied. Nevertheless, it appears that further improvement such as engineering a stiffer pore structure could lead to larger water uptake in the case of CTF-CN and thus, a larger photocatalytic activity, assuming that the diffusion of water in the pores balances the charge transport.
The design principle revealed in this study is that the underlying atomistic mode of interaction of water is important. Although previously suggested by theory, this is the first validation by experiment. To design better and more efficient CTF photocatalysts, the atomistic details of the polymer−water interactions need to be understood. Such systematic studies of chemical design, porosity, and water dynamics can help to define chemical design rules or identify the functional groups to be introduced to promote a favorable environment in terms of intermolecular interactions and dynamics. Therefore, the present work paves the way for a deeper understanding of the possible kinetic bottleneck limiting the efficiency of CTFs for water-splitting applications.

■ EXPERIMENTAL SECTION
The neutron scattering measurements were performed on the direct geometry, cold neutron, disc chopper time-of-flight (TOF) spectrometer IN5 at the Institut Laue-Langevin (Grenoble, France). An optimized sample thickness of 0.2 mm was considered, relevant to the minimization of effects like multiple scattering and absorption. Data were collected at 300 K using two incident neutron wavelengths of 5 Å (E i ≈ 3.27 meV) and 8 Å (E i ≈ 1.28 meV), offering an optimal energy resolution at the elastic line of ∼0.1 and 0.03 meV, respectively. We took the advantage offered by the TOF-based neutron spectroscopy technique to extract both QENS and INS spectra, in addition to diffraction patterns, from the same acquired spectra. Indeed, the TOF data are acquired massively in time (energy) and space (momentum) transfer, thanks to a robust chopper system and a large detector/angular coverage, respectively, allowing to capture both elastic (detected neutrons without energy exchange with the sample) and quasi-elastic and inelastic processes (detected neutrons having exchanged an amount of energy with the sample). Standard corrections including detector efficiency calibration and background subtraction were performed. A vanadium sample was used to calibrate the detectors and to measure the instrumental resolution under the same operating conditions. At the wavelengths used, the IN5 angular detector coverage corresponds to Q ranges of ∼0.2−2.3 Å −1 (λ i = 5 Å) and ∼0.1−1.3 Å −1 (λ i = 8 Å). The data reduction and analysis were done using ILL software tools 53 to extract the neutron diffraction patterns, the QENS spectra, and the generalized density of states (GDOS). The neutron diffractograms were extracted by averaging the energy around the elastic peak of the scattering function S(Q,E). For the QENS spectra, different data sets were extracted either by performing a full Q-average in the (Q, E) space to get the scattering function S(E, T) or by considering Q slices to study the S(Q, E, T). The presented one-phonon GDOS, 45,54 spectra were extracted from the inelastic part of the S(Q, E) using the neutron incident wavelength of 5 Å and operating in the upscattering, neutron energy-gain mode.