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# Mapping the oxygen structure of γ-Al2O3 by high-field solid-state NMR spectroscopy

## Abstract

γ-Al2O3 is one of the most widely used catalysts or catalyst supports in numerous industrial catalytic processes. Understanding the structure of γ-Al2O3 is essential to tuning its physicochemical property, which still remains a great challenge. We report a strategy for the observation and determination of oxygen structure of γ-Al2O3 by using two-dimensional (2D) solid-state NMR spectroscopy at high field. 2D 17O double-quantum single-quantum homonuclear correlation NMR experiment is conducted at an ultra-high magnetic field of 35.2 T to reveal the spatial proximities between different oxygen species from the bulk to surface. Furthermore, 2D proton-detected 1H-17O heteronuclear correlation NMR experiments allow for a rapid identification and differentiation of surface hydroxyl groups and (sub-)surface oxygen species. Our experimental results demonstrate a non-random distribution of oxygen species in γ-Al2O3.

## Introduction

Owing to their specific physical and chemical properties, metal oxides are of great importance in the field of materials and chemical science as diverse as electronics, energy storage and catalysis. In particular, the variability of their structure/phase and localized electronic structures has motivated widespread applications of metal oxides in heterogeneous catalysis1,2,3,4,5,6. γ-Al2O3 is widely used in a broad range of industrial catalytic reactions such as alcohol dehydration, propane dehydrogenation, isomerization, alkylation and catalytic cracking7. Optimization and rational design of related heterogeneous catalysts rely on detailed knowledge of the structure–property relationship. Over the past decades, considerable efforts have been devoted to experimental and/or theoretical explorations of the structure and nature of γ-Al2O3, which however remain poorly understood8,9,10,11,12,13,14,15,16,17. Unambiguous determination of the location of Al and O atoms is hampered by the large line-broadening of reflections/diffuse scattering pattern of small γ-Al2O3 particles in X-ray diffraction (XRD), neutron diffraction (ND) and electron diffraction characterizations. The surface species, particularly the coordinatively unsaturated atoms in γ-Al2O3 are usually correlated with particle size, morphology and pretreatment conditions18,19,20. The oxygen speciation (e.g., hydroxyl or defects) of γ-Al2O3 impacts its surface properties (i.e., acidity/basicity), and in many cases the proposed catalytic mechanisms are closely related to the local environment of oxygen atoms21. Thus, determination of oxygen species in γ-Al2O3 is prerequisite for understanding its structure and physicochemical property, which has remained a great challenge.

Solid-state NMR spectroscopy is a powerful and versatile tool for structural characterization of materials in either ordered or disordered states via the measurement of nuclear spin interactions22,23,24,25,26. 17O magic-angle spinning (MAS) NMR has been utilized in recent years to probe the local environments of oxygen atoms in various oxygen-containing materials27,28,29,30,31,32. However, a combination of quadrupolar nature for 17O nucleus (I = 5/2), relatively low gyromagnetic ratio (γ = −5.774 MHz T−1), and low 17O abundance (0.037%) leads to great difficulties using 17O NMR to investigate oxide-based materials especially at conventional magnetic fields (≤14.1 T). Therefore, the acquisition of 17O MAS NMR spectrum often entails 17O isotopic enrichment33. Additionally, advanced NMR methods and techniques are required to further enhance sensitivity and resolution. High-resolution two-dimensional (2D) experiments, such as 29Si-17O heteronuclear correlation (HETCOR) and 17O multiple-quantum (MQ) MAS experiments were reported in the structural characterization of inorganic materials (e.g., zeolite)34. Taking advantage of dynamic nuclear polarization (DNP) technique35,36,37,38, Pruski and coworkers showed the direct observation of Brønsted acid sites at natural abundance by 17O DNP surface-enhanced NMR spectroscopy (SENS) on silica-alumina samples. Since continuous distribution of 17O chemical shifts result in poor resolution of 17O MAS NMR spectrum, the broad 17O signals were analyzed by observing the change of their lineshapes associated with different hydroxyl environments (aluminols, silanols or Al(OH)Si)39. Our recent work showed that the surface oxygen sites with (e.g., aluminols and adsorbed water) or without (bare oxygen) bound protons on γ-Al2O3 can be detected by 17O DNP SENS through 2D 17O MQMAS and 1H-17O HETCOR experiments40. However, the determination of spatial proximity/connectivity between different oxygen sites has not been achieved yet, which is essential to better understand the local structure of γ-Al2O3. The conventional NMR approach is hampered by the small 17O-17O interactions due to the low γ of the 17O nucleus and the dilution from insufficient 17O isotope enrichment.

The oxygen speciation and its local structure in γ-Al2O3 remain largely unknown. The emerging high magnetic field up to 35.2 T (1.5 GHz) with dramatically improved sensitivity and resolution opens new stage for the application of 17O NMR spectrosopy41,42,43. In this contribution, we propose a strategy to unambiguously determine oxygen structure of γ-Al2O3 with the aid of ultrahigh magnetic field and state-of-the-art pulse sequences. To the best of our knowledge, the 2D 17O-17O double quantum (DQ)–single quantum (SQ) homonuclear correlation spectrum of γ-Al2O3 is for the first time acquired at magnetic field of 35.2 T. Even for the γ-Al2O3 sample with moderate 17O labeling (ca. 20%), the 2D correlation maps can be achieved in several hours. 4-coordinated and 3-coordinated oxygen sites are identified and their spatial proximities between different oxygen species from the bulk to surface are revealed. In combination with 2D proton-detected 1H-17O heteronuclear multiple quantum correlation (HMQC) experiments at 18.8 T, the discrimination of (sub-)surface oxygen species including bare oxygen, hydroxyl groups and adsorbed water is achieved. 3-coordinated oxygen sites are preferentially formed on the (sub-)surface of γ-Al2O3. Our 17O NMR experimental results demonstrate a non-random distribution of oxygen species and a non-spinel structure in γ-Al2O3. The detailed insights into the oxygen sites provide a basis for tuning the property of γ-Al2O3 and rational design of improved oxide-based catalysts.

## Results

### Identification of oxygen sites by 2D 17O 3QMAS NMR

Efficient enrichment of 17O is essential for 17O NMR spectroscopy especially the 2D correlation spectroscopy to study the structure of oxides. 17O-enriched γ-Al2O3 (BET surface area, 139.8 m2/g) was prepared with H217O (40%, 17O) and boehmite. The labeled 17O atoms in γ-Al2O3 is less than 21% with respect to the total oxygen atoms in the sample (see Methods section for details). XRD and TEM image of the 17O-enriched γ-Al2O3 show the crystalline phase and morphology (see Supplementary Fig. 1 and Fig. 2). The IR data show the presence of different types of hydroxyl groups on γ-Al2O3 (Supplementary Fig. 3), which are not influenced by 17O isotope labeling treatment. The expected 4- and 6-coordinated Al (AlIV and AlVI) sites along with a small amount of 5-coordinated Al (AlV) on the sample are revealed by 27Al MAS NMR (Supplementary Fig. 4a). Raising dehydrated temperature from 473 to 673 K leads to a slight decrease of the AlVI accompanying with an increase of AlV (Supplementary Fig. 4a). Therefore, the formation of AlV can be related to the dehydroxylation of surface AlVI, and a relatively higher treatment temperature would result in more AlV on the surface γ-Al2O3. It is noteworthy that there are many factors such as preparation method, morphology, particle size and post-treatment, could contribute to the variability of the surface property of γ-Al2O316,18,20,21,24.

Distortions in the geometry of O(Al)n (n = 3–4) sites lead to the variations for PQ (quadrupole interaction product) and δcs (isotropic chemical shift) values (see Supplementary Table 1), as observed in the case of γ-alumina15, glasses45 and zeolites34. In comparison, OIII sites D-E exhibit larger quadrupolar couplings (2.7–3.1 MHz) than that of OIV sites A-C (1.8–2.4 MHz). This can be understood by the fact that OIII sites experience larger distortions of local environment induced by cation vacancies or surface defects in γ-Al2O3. Since the high-field signals (ca. −10–40 ppm) from hydroxyl groups are too weak to be observed in the 2D 3QMAS spectra, all these resolved signals come from the oxygen species without bound protons.

### Determination of oxygen-oxygen structures by 2D 17O DQ-SQ experiment

Up to now, there is no report yet on detecting the spatial proximity/connectivity of oxygen species in γ-Al2O3 largely due to insufficient 17O enrichment, detection sensitivity and spectral resolution required to correlate two low-γ S = 5/2 spins. For a specific nucleus, high magnetic fields lead to increase of its Larmor frequency and the net magnetization from the population difference between the neighboring energy levels (e.g., 1/2 ↔ −1/2), thus enhancing NMR signal through both resonance frequency and the polarization. More importantly for quadrupole nuclei, high fields reduce the broadening from the second-order quadrupolar effect, therefore provide a gain of spectral resolution proportional to the square of B0 in units of ppm46. With the aid of our developed BR212 pulse sequence47 and the dramatic sensitivity and resolution enhancement achieved by the Series-Connected Hybrid magnet capable of generating magnetic field of up to 35.2 T42, 2D 17O DQ-SQ homonuclear correlation spectrum was obtained on γ-Al2O3 sample in less than 4 h (Fig. 2a). Despite a low radio-frequency recoupling field (ca. 2.7 kHz) was used in the 2D 17O DQ-SQ NMR experiment, our previous work47 has demonstrated that the BR212 recoupling employed here was sufficient to cover a bandwidth of ca. 8 kHz (i.e., 45 ppm–80 ppm at 35.2 T). To the best of our knowledge, this is the first report of the 2D 17O DQ-SQ homonuclear correlation spectrum, which provides a direct view of the dipolar interactions between different types of oxygen species and thus of their spatial proximity.

Since the dipolar interaction is inversely proportional to the cube of the distance between two 17O atoms, the detected correlations in Fig. 2a should mainly originate from 2-bond 17O-Al-17O correlation rather than 4-bond 17O-Al-O-Al-17O correlation by considering the transfer efficiency as well as the dipolar truncation effect of the homonuclear recoupling48. Moreover, simulations were performed to compare DQ-SQ experimental efficiencies between isolated 2-bond and 4-bond 17O pair (Supplementary Fig. 5) based on the non-spinel γ-Al2O3 model11. The simulated double-quantum filtering (DQF) efficiency of the former remains over ten times higher than that of the latter at the point of experimental DQ recoupling time (τre = 3 ms) although the dipolar truncation effect is not taken into account. This suggests the detected correlations in Fig. 2a should mainly originate from 2-bond 17O-Al-17O correlation.

Four self-correlation peaks (A-A, B-B, C-C, and D-D) are observed along the diagonal line with a slope of 2, indicating the same types of the oxygen sites are in close proximity one another. While the cross peaks B-E, C-D and B-D reflect the spatial proximities between different oxygen species, which could be unambiguously identified in the 1D slices extracted from the 2D spectrum (Fig. 2b). Although the correlation peaks mainly depend on the strength of dipolar coupling (O-Al-O distance), the concentration of the proximate oxygen pairs contribute to the relative intensities as well. As shown in the 1D 17O MAS spectrum (Fig. 1) and 2D 17O DQ-SQ NMR spectrum (Fig. 2a), the signal B is more intense than the others. Thus, site B is most likely present as bulk species in γ-Al2O3. This is further supported by the fact that site B correlates with the other high-field OIII sites (D and E) (Fig. 2b). For the OIII site D, there is a downfield shift (1~2 ppm) of the center of gravity in its cross peaks (e.g., B-D) compared with its self-correlation peak (D-D). This implies that the slight difference of the oxygen-oxygen local structure in γ-Al2O3 might be an important factor influencing the distribution of electric field gradients (EFG) of oxygen sites, which yields a distribution of apparent chemical shifts of 17O NMR involving the isotropic quadrupolar shift. Note that an off-diagonal signal (ca. 78 ppm in F2 dimension) at the lowest field seriously overlaps with self-correlation peaks A-A and B-B. This off-diagonal correlation could be either the correlation between two A sites with continuous chemical shift distributions caused by slightly different local environments or the cross correlation between A and B. No additional cross-peak is observable with respect to site A, indicating that either this type of oxygen is not located in close proximity to other oxygen sites or there are less proximate oxygen pairs between site A and other oxygen sites. In addition, there is no apparent cross correlation between two distinct OIV species (e.g., B-C, A-C) in the 2D 17O DQ-SQ spectrum (Fig. 2a), which suggests that different magnetically inequivalent OIV sites are separated. Similarly, no cross correlation between site D and E observed in Fig. 2a reveals that these two OIII species are not in close proximity. These experimental results suggest that different oxygen species (magnetically inequivalent) discriminated here are closely related to their special O-Al-O local structures. Taking the information obtained from the 2D DQ-SQ NMR experiment together, it provides the first direct evidence that these oxygen sites in γ-Al2O3 exist in a non-random manner.

### Discrimination of surface oxygen species by 2D 1H{17O} HMQC experiment

Note that it’s not straightforward to correlate the surface oxygen species with that in the bulk by above 17O 3QMAS and DQ-SQ experiments since the surface oxygen species that are in form of hydroxyl groups are not observed in the 2D NMR spectra (Figs. 1 and 2). By taking advantage of localized interactions between protons and oxygen, 1H-17O HETCOR experiment could provide selective information on the surface hydroxyl groups and even the surface bare oxygen species provided the proton source such as hydroxyl group or adsorbed water are in close proximity to the target oxygen sites. However, the use of conventional 1H-17O cross polarization (CP) or 17O{1H} D-HMQC NMR experiment is time-consuming for quadrupolar nucleus with low γ and at low natural abundance49,50. Owing to the high sensitivity of 1H nuclei, proton-detected HETCOR experiments such as HMQC51, R-INEPT32 and TEDOR43 have proved to be robust methods to indirectly detect the insensitive nuclear spin as well as to explore its connectivity/proximity with proton under fast MAS. Since a single-resonance 3.2 mm probe was equipped on the 35.2 T NMR system which could not render fast MAS and double-resonance experiment, Therefore, we conducted the proton-detected 2D 1H {17O} J/D-HMQC experiments using a 1.9 mm double-resonance probe on a commercial at 18.8 T NMR spectrometer with a MAS speed of 40 kHz. The 1H-17O J-HMQC through-bond experiment allows for identification of hydroxyl groups (-OH) exposed on γ-Al2O3, while the 2D 1H-17O D-HMQC through-space experiment was used to probe bare oxygen (without H bonded) in close proximity with hydroxyl groups. The through-space method enables to detect bare 17O not only on the surface but also below the surface (denoted as sub-surface) provided there are similar internuclear distances (or dipolar interactions) between these bare oxygens and protons of surface hydroxyls.

According to previous experimental and theoretical reports16,39, the O-H bond length on γ-Al2O3 is about 1 Å with the corresponding J coupling of ca. 80 Hz. The 2D proton-detected 1H {17O} J-HMQC spectrum in Fig. 3a shows the chemical bond correlations through scalar-coupling transfer in which only the 1H-17O correlations from hydroxyl groups are observable. Although the 17O signals from different hydroxyl groups are severely overlapped in the 17O dimension, the distinguishable 1H signals help assign the hydroxyl groups on the surface of γ-Al2O3. The surface hydroxyl groups have been extensively examined by 1H solid-state NMR spectroscopy18,20,24,52. Three main spectral regions were identified at around 0 ppm, 1-3 ppm and 3-5 ppm, which fall into the chemical shift range of terminal (μ1) hydroxyl, doubly bridging (μ2) hydroxyl and triply bridging (μ3) hydroxyl groups, respectively. While the very recent work by Raybaud20 indicated that besides the exposed main surface of γ-Al2O3, the stepped surfaces and edges architectures should be taken into account to interpret the 1H NMR as well. Specifically, the −0.2 ppm 1H signal comes from the μ1-OH; the proton 0.9 and 1.2 ppm signals can be assigned to the μ2-OH or μ1-OH, while the signal at 3.4 ppm is ascribed to the μ3-OH. Besides, chemically adsorbed H217O is observed on the sample surface reflected by the broad correlations at 1H chemical shift larger than 4.0 ppm, which is confirmed by the dramatic decrease of the corresponding 1H signal on the sample when dehydration temperature is raised from 473 K to 673 K (Supplementary Fig. 4c). The 2D 1H{17O} J-HMQC experiment directly reveals different types of hydroxyl groups through directly connecting oxygen with proton atoms. These surface hydroxyl groups confirm the observation of the weak high-field 17O signals in the 17O MAS NMR spectrum (Fig. 1a). Compared with the 1D 1H MAS NMR spectrum, a significant decline in the 1H signals (ca. 4.5 ppm) from adsorbed H2O is observed in the 2D 1H{17O} J-HMQC, implying much faster transverse relaxation of protons in the residual water molecules than that in hydroxyl groups on the surface of γ-Al2O3. Meanwhile the stronger intensity of the correlation peak in the 2D spectrum suggests that the μ2-OH dominates the surface hydroxyl groups on our γ-Al2O3 samples.

The 1H{17O} J-HMQC spectrum shows detailed information about chemical connectivity between surface oxygen and protons. In order to get extended picture of the surface oxygen structure, 2D 1H{17O} D-HMQC experiments were also conducted on γ-Al2O3. The 1H{17O} D-HMQC experiment uses the dipolar interaction to create correlation signal, which is more robust than the commonly used CP/MAS sequence for the investigation of spatial proximity between quadrupolar and spin-1/2 nuclei53. The variation of the recoupling time allows to probe local environment of the surface oxygen at various distances to hydroxyl protons. The 1H{17O} D-HMQC spectrum of γ-Al2O3 with a short recoupling time of 0.30 ms shows correlations to the neighboring species at short distance (Supplementary Fig. 6), similar to those achieved by the J-based experiment. Increasing the recoupling time to 1.05 ms gives rise to additional signals in Fig. 3b. Besides the 1H-17O correlations from different bridging hydroxyl groups (17O chemical shift at ca. −10–40 ppm), strong correlations between the protons of hydroxyl groups and the 17O signals at ca. 50–75 ppm are observed. The well-resolved low-field 17O signals can be assigned to oxygen site A and D, respectively, by considering their apparent 17O chemical shifts (δF2). Figure 4 displays the selective 1D slice of the 17O NMR spectra along different 1H chemical shifts (1.2 ppm, 3.4 ppm and 4.5 ppm) extracted from the 2D 1H-17O D-HMQC spectrum. The correlation peaks indicate that the μ1-OH and μ2-OH groups (−0.2–2.0 ppm) are mainly located in close proximity to OIV site A and OIII site D (also see Fig. 4d). Although it is difficult to differentiate 17O sites from the 1D 17O slices along the 1H signals at 3.4 ppm (Fig. 4c) and 4.5 ppm (Fig. 4b), the lineshape of the 17O slice for the latter implies that water molecule (4.5 ppm) is preferentially adsorbed on OIV site C, showing its strong hydrophilicity on the surface of γ-Al2O3. While the intramolecular 1H-17O correlations for chemically adsorbed H217O are hard to be observed, which can be accounted for by the relatively faster relaxation of the nuclear spins in water molecule during the period of dipolar recoupling. Note that different 1H species have distinct influences on the intensities of 1H-17O correlations in 2D HMQC experiment due to their different relaxations. We analyzed the 1H-17O correlation slices extracted from specific 1H resonances (i.e., 4.5 ppm, 3.4 ppm and 1.2 ppm in 1H dimension, see Fig. 4). For a specific 1H resonance, its transverse relaxation would attenuate its 1H-17O correlations on similar level in 2D HMQC spectra, which would thus does not significantly influence the relative intensities of distinct 17O species in its 1H-17O correlation slice in the 17O dimension.

No apparent correlations are observed between protons and oxygen site B in the 2D D-HMQC spectrum. This is a clear indication that this oxygen species should be not in close proximity to the surface protons. The longer internuclear distance makes the dipolar interaction too weak to be detected by the D-HMQC experiment. Taking the results together, it strongly suggests that site B exist in the bulk while sites A, C and D are most likely present on the (sub-)surface of γ-Al2O3.

The influence of the heating treatment on the distribution of the surface oxygen species on γ-Al2O3 was analyzed by 1H{17O} D-HMQC. 17O MAS NMR (Supplementary Fig. 4b) shows that there is an apparent decrease of the 17O signals from the hydroxyl groups (ca. −10–45 ppm) along with the increase of the 17O signals from bare oxygen species (ca. 45–80 ppm) on γ-Al2O3 when the dehydration temperature is raised from 473 to 673 K. Interestingly, the 1H-17O correlations revealed by the 2D 1H{17O} D-HMQC spectrum of γ-Al2O3 dehydrated at 673 K (Supplementary Fig. 7) are quite similar to those observed on the sample dehydrated at lower temperature (Fig. 3b). In particular, the residual μ2-OH and μ1-OH (−0.2–2.0 ppm) on γ-Al2O3 keep close proximity to the specific OIV (e.g., site A) and OIII (e.g., site D) species. This indicates that heating treatment at mild condition does not have significant impact on the structure of the surface oxygen species on γ-Al2O3.

The detailed information about the oxygen speciation and spatial proximities and connectivities of different oxygen sites allows us to propose local structure models of γ-Al2O3 (Fig. 5). The (sub-)surface of γ-Al2O3 is occupied by different types of oxygen sites (A, C and D) which are in close proximity to surface hydroxyl group or water molecule (Fig. 5a–c). The OIV (site C) and OIII (site D) species are found to be located in close proximity as well (Fig. 5d). In spite of the low concentration, oxygen site E that is mostly likely in the bulk can still be identified based on its spatial proximity with oxygen site B (Fig. 5e). While the bulk oxygen site B is probably located near to the surface of γ-Al2O3 as evidenced by its proximity to site D.

## Discussion

The complex oxygen species in γ-Al2O3 in terms of speciation and distribution often bring about difficulty in the characterization of their structures and properties. This is demonstrated by the overlapping 17O signals and insufficient spectral resolution even in the 2D 17O 3QMAS spectrum recorded at high field (Fig. 1b, c). The high-resolution cross peaks provided by the 2D 17O DQ-SQ and 1H {17O} HMQC spectra enables to resolve and determine these overlapped components. This makes the quantitative measurements of distinct oxygen species feasible on the 1D 17O NMR spectra (Fig. 1d, e).

The 17O NMR spectra allow to not only obtain unprecedented information on the local environment of oxygen species but also shed insight into the structure of γ-Al2O3 by analyzing the location of Al3+ vacancies17. In the spinel-like model, the vacancy at an octahedral position results in the formation of six OIII anions. While the vacancy at a tetrahedral position produces four OIII anions, leading to a non-spinel structure11. Therefore, the γ-Al2O3 bulk structure could be determined via a quantitative analysis of OIV and OIII sites in 1D 17O MAS NMR spectrum. For example, the OIII/OIV ratio in a unit cell of Al8O12 is 1.0 or 0.5 for an Al3+ vacancy at octahedral or tetrahedral position, respectively. The deconvolutions of 1D 17O MAS NMR spectra of γ-Al2O3 (Fig. 1d, e) assisted by the improved resolution of the 2D 17O DQ-SQ and 1H {17O} D-HMQC spectra clearly show an OIII/OIV ratio of 0.51 ± 0.03 at 18. 8 T or 0.45 ± 0.04 at 35.2 T (Supplementary Table 1), respectively, suggesting that Al vacancies should be located at tetrahedral position. In addition, 27Al MAS NMR spectroscopy allows for the determination of the location of the Al vacancies in γ-Al2O3 by measuring the proportion of octahedral AlVI or tetrahedral AlIV sites. If the vacancies (V) are at octahedral positions, γ-Al2O3 is expressed as AlIV[Al5/3V1/3]VIO4 and 62.5% Al3+ cations are located at octahedral positions17. For the vacancies at tetrahedral positions, γ-Al2O3 gives a the formula of [Al2/3V1/3] IV[Al2]VIO4 and there are 75% Al3+ cations at octahedral positions. The 1D 27Al MAS spectrum of γ-Al2O3 dehydrated at 473 K (Supplementary Fig. 4a) shows that 73% of Al3+ cations is in octahedral coordination, confirming that the vacancies are mainly at tetrahedral positions. This is also in agreement with previous 27Al DQ-SQ experimental result on γ-Al2O354, where there is no correlation from two coupled tetrahedral 27Al observed in the 2D 27Al homonuclear correlation spectrum. It should be noted that the thermal treatment impacts to some extent the coordination of Al atom in γ-Al2O3. As shown in Supplementary Fig. 4a, the 6-coordinated Al decreases from 73% to 70% upon increasing the dehydration temperature from 473 to 673 K. Note that there is a small variation (from 67.5% to 75%) of AlVI upon varying vacancies from octahedral to tetrahedral Al. This would lead to a larger measurement error on the amount of vacancies at tetrahedral or octahedral positions in 27Al MAS NMR compared with that obtained in 1D quantitative 17O MAS NMR. Nevertheless, the Al vacancies are predominately located at tetrahedral positions, which is a clear indication of the non-spinel structure for γ-Al2O3.

In our previous DNP study of γ-Al2O340, surface-selectively labeling was performed by surface exchange of commercial γ-Al2O3 with 17O2 gas or H217O. In addition to the surface hydroxyl groups, OIII and OIV species were observed. Aiming at a detailed understanding of oxygen species in γ-Al2O3, herein we investigated the labeled samples both on the surface and in the bulk which were prepared by dehydration of 17O-enriched boehmite. The thermal treatment would influence more or less the oxygen species particularly on the surface of γ-Al2O3. For example, the surface hydroxyl groups were obviously decreased with increasing of dehydration temperature, which was confirmed by our 1D 17O and 1H MAS NMR spectra (Supplementary Fig. 4b and 4c). In spite of the variation of surface species, the 2D 1H-17O D-HMQC spectrum revealed the preferential formation of OIII species on the (sub-)surface of γ-Al2O3 (Fig. 3b), in agreement with the result obtained by the direct 17O DNP spectroscopy40.

The basic property of γ-Al2O3 is related to surface oxygen sites. For example, the terminal surface hydroxyl group was found to have selective reactivity toward CO224. Some active sites (so called defect sites) are supposed to be formed by the Lewis acid (tri-coordinated Al)–base (O) pairs on the metastable surface of γ-Al2O321. Furthermore, the surface oxygen on γ-Al2O3 could serve as the anchoring site for metal supported catalysts. The distribution of the (sub-)surface oxygen especially the coordinately unsaturated oxygen such as site D led us to believe that the anchoring of the supported metal species on γ-Al2O3 would be non-random. The isolated or vicinal oxygen sites would influence the formation of metal ions or clusters, which have been demonstrated to exhibit distinct activity55.

In summary, we provide a robust and reliable 17O NMR strategy to map the oxygen structure in γ-Al2O3. The combined high magnetic fields and fast MAS demonstrate the ability to increase the sensitivity and resolution of 2D 17O MAS NMR spectra. Different oxygen species and their spatial proximities in γ-Al2O are identified by 17O 3QMAS in combination of 2D 17O DQ-SQ homonuclear correlation NMR experiments conducted at 35.2 T. The proton-detected 1H-17O J/D-HMQC experiments allow a rapid detection of the (sub-)surface oxygen species through chemical bond or spatial/dipolar interaction with surface protons including water and hydroxyl groups. The results presented herein not only provide unique insights into the structure of oxygen sites of γ-Al2O3, which has important implications for tuning the property of γ-Al2O3, but also demonstrate the ability to utilize the increased resolution/sensitivity of 2D 17O NMR experiments at high or ultra-high magnetic fields to investigate various complex metal oxide-based catalysts. The detailed information on oxygen speciation and its local structure would enable to better understand the anchoring site for supporting metals as well as the specific interaction between oxides surface and reaction molecules, which is helpful for the rational design of improved catalysts.

## Methods

### Preparation of 17O enriched γ-Al2O3

17O-enriched boehmite was first prepared by exchanging boehmite with H217O. 380 μl (0.38 g) H217O (17O, 40%) was introduced into a glass tube containing 500 mg pretreated AlOOH•H2O. The glass tube was sealed with a flame after degassing on a vacuum line at 423 K for 48 h. Then, 17O-enriched γ-Al2O3 was prepared by dehydration of the 17O-enriched boehmite at 773 K for 4 h. Consequently, the enriched γ-Al2O3 samples were dehydrated at 473 K or 673 K for 2 h and were stored in sealed glass tube to minimize adsorption of atmospheric moisture. The amount of 17O labeling can be roughly estimated. A total of~ 20 mmol of H217O (17O, 40%) was used for 500 mg of AlOOH•H2O. The maximum labeled 17O atoms should be less than 21% ([20 mmol*40%(17O)]/[20 mmol($${\rm{O}}_{{\rm{H}}_{2}{\rm{O}}}$$) + 19.5 mmol($${\rm{O}}_{{\rm{AlOOH•}} {{\rm{H}}_{2}{\rm{O}}}}$$)]) with respect to the total oxygen atoms of the sample.

### Solid-state NMR measurements

1D 17O MAS NMR, 2D 17O 3QMAS and DQ-SQ MAS NMR spectra were recorded on 35.2 T series-connected hybrid magnet at the National High Magnetic Field Laboratory (NHMFL) using a Bruker Avance NEO console and a single-resonance 3.2 mm MAS probe designed and constructed at the NHMFL. A pulse width of 3 µs corresponding to a π/6 flip-angle and a recycle delay of 1 s were used to collect the single-pulse 17O MAS NMR spectrum of γ-Al2O3 at a spinning speed of 15.6 kHz. The number of transients collected was 128. The 2D 17O 3QMAS spectrum of γ-Al2O3 was collected using a shifted-echo sequence, and all pulse widths were optimized on the sample at a spinning speed of 15 kHz. A total of 48 scans were collected for each of the 40 rotor-synchronized t1 increments with a recycle delay of 1 s. 2D 17O DQ-SQ MAS NMR experiment was conducted using BR212 recouplings (τre = 3 ms), and all pulse widths were optimized at a spinning speed of 16 kHz. Central transition (CT) enhancement of the initial magnetizations (17O) was obtained by using a SS-WURST-80 irradiation with a length of 1 ms. A total of 832 scans were collected for each of the 16 rotor-synchronized t1 increments with a recycle delay of 1 s.

1D 17O MAS NMR and 2D 17O 3QMAS spectra were also recorded on 18.8 T with a MAS speed of 15 kHz by using a Bruker Avance III 800 spectrometer and a 3.2 mm double resonance probe. A pulse width of 1.3 µs corresponding to a π/6 flip-angle and a recycle delay of 0.5 s were used to collect the single-pulse 17O MAS NMR spectrum with 1600 scans. The 2D 17O 3QMAS spectrum of γ-Al2O3 was collected using a z-filtering sequence, and all pulse widths were optimized on the sample at a spinning speed of 15 kHz. A total of 2400 scans were collected for each of the 40 t1 increments (Δt1 = 50 μs) with a recycle delay of 1.5 s.

1D single-pulse 27Al, 1H and 17O MAS NMR spectra were collected at 18.8 T with a MAS speed of 40 kHz by using a 1.9 m double-resonance probe. A pulse width of 1.85 µs corresponding to a π/2 flip-angle and a recycle delay of 10 s were used to collect the single-pulse 1H MAS NMR spectrum with 8 scans. A pulse width of 0.7 µs corresponding to a π/6 flip-angle and a recycle delay of 1 s were used to collect the single-pulse 27Al MAS NMR spectrum with 240 scans. A pulse width of 0.83 µs corresponding to a π/6 flip-angle and a recycle delay of 2 s were used to collect the single-pulse 17O MAS NMR spectrum with 1500 scans as well. Note that the small flip-angle single-pulse experiment was used for acquiring 1D 17O MAS NMR spectra, which is less susceptible to the relatively short recovery delays. In principle, any non-negligible chemical shift anisotropy (CSA) should be considered for quantitative analysis of the 1D 17O MAS NMR spectrum at high field. To this end, the 17O NMR spectra (Supplementary Fig. 8) were acquired and compared at two different MAS speeds (15 and 40 kHz) with two different relaxation delays (0.5 and 2 s respectively), which reveals that the relaxation and CSA do not have significant influence on our analysis.

2D 1H {17O} J-HMQC spectra of γ-Al2O3 were collected at 18.8 T with a MAS speed of 40 kHz by using a 1.9 m double-resonance probe. A total of 256 scans were collected for each of the 32 rotor-synchronized t1 increments with a recycle delay of 2 s. 2D 1H {17O} D-HMQC spectra of γ-Al2O3 dehydrated at 473 K were collected using SR4 recouplings with τre = 1.05 ms and 0.30 ms at a spinning speed of 40 kHz, respectively. A total of 512 scans (τre = 1.05 ms) and 128 scans (τre = 0.30 ms) were collected for each of the 32 rotor-synchronized t1 increments with recycle delays of 2 s. 2D 1H {17O} D-HMQC spectrum of γ-Al2O3 dehydrated at 673 K were collected using SR4 recouplings with τre = 1.05 ms at a spinning speed of 40 kHz. A total of 256 scans were collected for each of the 32 rotor-synchronized t1 increments with recycle delays of 4 s. Shorter relaxation delays were used in acquiring the 2D experiments for saving whole acquisition time due to the limit magnet time42. Pre-saturation pulses and/or satellite saturation pulses were employed to spoil residual longitude magnetizations at the beginning of each scan. For above 2D experiments, presaturation has been applied with a train of 10 π/2 pulses 20 ms apart.

The 1H transverse relaxation (T2) is measured by using a pseudo 2D experiment (chemical shift (CS)-echo) at 18.8 T with a MAS speed of 40 kHz. The T2 of the 1H signal from adsorbed water at 4.5 ppm is ca. 0.23 ms, almost half of that (ca. 0.41 ms) of Al-OH species at 1.2 ppm.

The chemical shifts were referenced to liquid H2O, which is 0 ppm for 17O and 4.8 ppm for 1H.

### Simulations

Simulations were performed with the SIMPSON software56, and the powder averaging was performed using 320 crystallites following the REPULSION algorithm. CQ values of two coupled oxygen atoms are 2 MHz and 3 MHz, respectively.

### X-ray powder diffraction (XRD) experiments

XRD patterns were recorded on a Panalytical X’ Pert PRO X-ray diffractometer (40 kV, 40 mA) using CuKα (λ = 1.5406 Å) radiation. The scan rate is 0.05 degrees per second for XRD measurements.

### TEM measurement

TEM image was obtained on a HITACHI HT7700 instrument at an accelerating voltage of 100 kV.

### IR measurement

Diffuse reflectance Fourier transform infrared (DRIFT) spectra were acquired on a Bruker Tensor 27 spectrometer which equipped with CaF2 windows. The samples were packed into the DRIFT cell in a glovebox under dry nitrogen atmosphere. 128 scans were accumulated by a mercury-cadmium telluride (MCT) detector for each spectrum (resolution, 2 cm−1), and the background spectrum was collected by KBr.

## Data availability

All relevant data are available from the authors.

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## Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grants, 91745111, U1932218, 22061130202, 21733013 and 21872170), key program for frontier science of the Chinese Academy of Sciences (QYZDB-SSW-SLH027), Key projects of international partnership plan for foreign cooperation (112942KYSB20180009), Hubei Provincial Natural Science Foundation (2017CFA032), and Youth Innovation Promotion Association, Chinese Academy of Sciences. The National High Magnetic Field Laboratory is supported by the National Science Foundation through NSF/DMR-1644779 and the State of Florida. Development of the SCH magnet and NMR instrumentation was supported by NSF (DMR-1039938 and DMR-0603042) and NIH P41 GM122698.

## Author information

Authors

### Contributions

W.L., G.Q. and X.W. prepared the samples and performed XRD, TEM and IR characterizations. Q.W. and J.X. performed NMR measurements and data analyses. Z.G., I.H., F.M.-V. and X.W. performed the solid-state NMR measurement at 35. 2 T. Q.W., J.X. and F.D. designed the study and wrote the manuscript, and all authors discussed the experiments and final manuscript.

### Corresponding author

Correspondence to Jun Xu.

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### Competing interests

The authors declare no competing interests.

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Wang, Q., Li, W., Hung, I. et al. Mapping the oxygen structure of γ-Al2O3 by high-field solid-state NMR spectroscopy. Nat Commun 11, 3620 (2020). https://doi.org/10.1038/s41467-020-17470-4

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