Thanyaporn
Puengpoka
a,
Jirapat
Santatiwongchai
b,
Warot
Chotpatiwetchkul
*a,
Sareeya
Bureekaew
c,
Muhammad
Saleh
d,
Anchalee
Junkaew
b and
Sarawoot
Impeng
*b
aApplied Computational Chemistry Research Unit, Department of Chemistry, School of Science, King Mongkut's Institute of Technology Ladkrabang, Bangkok, Thailand. E-mail: warot.ch@kmitl.ac.th
bNational Nanotechnology Center (NANOTEC), National Science and Technology Development Agency (NSTDA), Pathum Thani 12120, Thailand. E-mail: sarawoot.imp@nanotec.or.th
cDepartment of Chemical and Biomolecular Engineering, School of Energy Science and Engineering, Vidyasirimedhi Institute of Science and Technology, Rayong 21210, Thailand
dLehrstuhls für Theoretische Physik elektrifizierter Flüssig-Festkörper-Grenzflächen Ruhr-Universität Bochum Universitätsstraße 150, 44801 Bochum, Germany
First published on 9th January 2026
The photocatalytic reduction of CO2 in metal–organic frameworks (MOFs) offers a sustainable route to C1 fuels and chemicals. Herein, density functional theory (DFT) calculations elucidate CO2 reduction on mixed Ti/Zr-MOF-525 clusters bearing missing linker defects, modeled by Zr6, Ti1Zr5, and Ti2Zr4 clusters. Two distinct mechanistic pathways are identified: the OH-passive and OH-assisted routes. In the passive case, CO2 binds weakly at a coordinatively unsaturated Ti/Zr site and undergoes direct hydrogenation to CO and HCOOH, with desorption being thermodynamically preferred over further hydrogenation. In contrast, the OH-assisted pathway proceeds via a bicarbonate-mediated mechanism, where surface –OH attacks adsorbed CO2 to form node-bound *HCO3. This step is both thermodynamically favorable and kinetically accessible (ΔG‡ < 0.5 eV). Subsequent proton-electron additions convert *HCO3 to *OCHO and H2O, favored by ∼1 eV over competing routes. These findings identify *HCO3 as the true reactive precursor and reveal that Ti substitution promotes deeper hydrogenation beyond two-electron products, enhancing CH4 formation on the Ti2Zr4 cluster. Overall, the results highlight the importance of node composition and surface hydroxyl groups in porphyrinic MOFs for optimizing multi-electron CO2 reduction and controlling product selectivity by tailoring the metal node environments.
A wide range of photocatalysts have been explored for solar-driven CO2 conversion, including molecular complexes, noble-metal nanoparticles, organic polymers, inorganic semiconductors, and hybrid materials.6,7 However, these systems often suffer from limited stability, modest selectivity, and inefficient charge separation, highlighting the need for improved photocatalyst design. Metal–organic frameworks (MOFs) have emerged as a versatile class of photocatalysts for CO2 reduction.6,8,9 Their high surface areas, tunable porosity, adjustable chemical composition, and engineerable electronic structures make them well-suited for light-driven catalysis. From the fundamentals of CO2 photocatalysis, an efficient photocatalyst should combine (i) strong absorption in the visible-light region (bandgap ≤ 3 eV), (ii) long-lived excited states, (iii) efficient charge generation and separation, (iv) high charge mobility, and (v) strong CO2 adsorption capacity.2,5,6 MOFs are uniquely positioned to integrate these features within a single material, placing them among the most promising candidates for next-generation photocatalyst design. Within this family, porphyrinic MOFs are especially compelling because their strong visible-light absorption and well-defined, modular catalytic environments directly address these fundamental requirements for efficient CO2 photoreduction.10,11
Within this subclass, particular attention has been paid to Zr-porphyrinic frameworks such as MOF-525 and MOF-545, which have emerged as especially promising candidates. Both structures consist of tetrakis(4-carboxyphenyl)porphyrin (TCPP) linkers connected to Zr6-oxo clusters, but they commonly exhibit distinct product selectivity: MOF-525 tends to yield CO and CH4, whereas MOF-545 more often favors formate.12,13 Their photocatalytic performance can be further enhanced through porphyrin metalation or partial Ti4+ substitution at the Zr6 node.14–16 In MOF-525, Ti incorporation can enhance charge separation and enable partial reduction of Ti4+ to Ti3+ under light irradiation, generating electron-rich sites that stabilize key intermediates and promote deeper hydrogenation toward CH4.16 Crucially, catalytic activity is governed by the availability of open metal sites (OMS); increasing their density and accessibility enhances CO2 adsorption and subsequent conversion, thereby enhancing overall catalytic performance. In this regard, hydroxyl-capped missing-linker defects increase the density and accessibility of Zr/Ti OMS, which serve as active sites that (i) directly bind and activate CO2 for stepwise hydrogenation or (ii) facilitate nucleophilic attack by neighboring surface OH groups on adsorbed CO2 to form carbonate-like intermediates. Similar Zr3+–OH frustrated Lewis pairs (FLPs) have been identified as active sites for CO2 activation in UiO-66,17 suggesting analogous behavior in porphyrinic MOFs. In addition, spectroscopic and computational studies have shown that photoexcitation of the porphyrin linker can induce linker-to-node charge transfer to the inorganic node, the catalytic center.12,16,18,19 Collectively, the interplay between node composition, defect chemistry (via OMS and FLPs), and linker-node charge transfer collectively dictates the reaction mechanism and product selectivity in photocatalytic CO2 reduction.
Despite these advances, the mechanistic roles of Ti substitution and surface –OH groups at defect sites in controlling product selectivity remain insufficiently understood. Herein, density functional theory (DFT) calculations are employed to investigate CO2 photoreduction on mixed Ti/Zr-MOF-525 clusters bearing missing linker defects. Finite-cluster models containing missing-linker defects capped by –OH/H2O ligands are constructed to represent catalytically relevant environments. Two mechanistic pathways are examined: an OH-passive pathway, in which hydroxyl groups act as spectators, and an OH-assisted pathway, where hydroxyl groups directly attack the adsorbed CO2 to form carbonate-like intermediates that promote subsequent hydrogenation steps. By systematically comparing Zr6, Ti1Zr5, and Ti2Zr4 clusters, we map the free-energy landscape to reveal how Ti substitution and hydroxyl defects modulate reaction energetics and product selectivity, providing mechanistic design guidelines for efficient MOF-based photocatalysts.
Spin-unrestricted DFT calculations were performed with the M06-L functional23 using Gaussian 16.24 Stuttgart–Dresden (SDD) effective core potentials with associated basis sets were applied to Zr and Ti,25 while the def2-SVP basis set was used for C, H, and O during geometry optimizations.26 Single-point energy refinements were carried out with the def2-TZVP basis set on non-metal atoms, including Grimme's D3 dispersion correction27 and the SMD implicit solvation model28 (water as solvent) to account for long-range dispersion and solvent stabilization effects. During optimization, the carboxylate carbon atoms of acetate caps were constrained, whereas all other atoms were fully relaxed.
Harmonic frequency calculations at the M06-L/def2-SVP level provided zero-point and thermal corrections. Low-frequency vibrational modes were treated using a Truhlar-type quasi-harmonic correction29 implemented in the GoodVibes program,30 applying a 100 cm−1 cutoff and a vibrational scaling factor of 0.976 for thermochemical analysis. All reported energies are Gibbs free energies at 298.15 K and 1 atm. The Gibbs free energy change for the proton-coupled electron transfer (PCET) steps was calculated using the computational hydrogen electrode (CHE) approach.31 In this method, the free energy of the proton-electron pair (H+ + e−) is defined as half of the free energy of molecular hydrogen in the gas phase.
The first proton–electron transfer step protonates the adsorbed CO2 to generate either *OCHO or *COOH and is thermodynamically uphill by around 2.5 eV for all models, revealing that CO2 activation on OH-passive surfaces is highly unfavorable. The large barrier originates from the limited electron-accepting ability of the neutral Zr4+/Ti4+ centers, which restricts charge transfer to CO2 and hinders its reduction. Under photocatalytic conditions, partial reduction of the node metal to Zr3+/Ti3+ could promote electron donation to CO2 and facilitate activation; however, our neutral state results describe the intrinsic thermodynamic character of OH-passive sites prior to photoinduced charge transfer.
Hydrogenation of *COOH produces *CO, completing the two-electron reduction sequence. For *CO, two protonation channels were examined, formation of *CHO or *COH. The *CHO intermediate is more stable by > 1 eV than *COH (Table S1), whereas *COH is intrinsically unstable and reacts with a neighboring surface –OH to give a C(OH)2-like species (Fig. S1). Thus, *COH cannot exist as an isolated intermediate under OH-passive conditions. All such high-energy or spontaneously reacting species are depicted in gray in Fig. S1 and Table S1 to indicate their minor mechanistic relevance.
Hydrogenation of *OCHO, in contrast, yields *HCOOH, which is thermodynamically more stable than *CHO for all catalysts. Further protonation converts *HCOOH to *OCH2OH and subsequent hydrogenation of either *OCH2OH or *CHO produces *OCH2 (Fig. 2).
Both formate and carboxyl pathways therefore merge at OCH2, a common precursor to CH3OH and CH4.
However, desorption of the C1 products CO and HCOOH is thermodynamically more favorable than continued hydrogenation. The computed free energies of CO desorption are −0.83, −0.67, and −0.54 eV for Zr6, Ti1Zr5, and Ti2Zr4 clusters, respectively, indicating that CO is already released from the surfaces. HCOOH desorption is slightly endergonic (∼0.1 eV, suggesting that it can also desorb under mild conditions. Because both CO and HCOOH desorption are preferred over additional hydrogenation, the CO2 reduction process on OH-passive nodes terminates at these two-electron products. This result emphasizes that, in the absence of surface-OH participation, reduction at Zr/Ti sites is confined to CO and HCOOH formation, underscoring the necessity of local reactivity –OH environments for achieving deeper multi-proton–electron conversions.
Experimentally, deeper hydrogenation to CH4 has been observed for mixed Ti/Zr-MOF-525 catalysts,16 likely due to photoinduced charge transfer and active OH sites that enhance CO2 activation and promote multi-electron processes. The following section therefore examines the OH-assisted pathway, where surface hydroxyl groups directly engage in CO2 activation.
Fig. 3 presents the calculated Gibbs free-energy profiles for CO2 photoreduction on Zr6-, Ti1Zr5-, and Ti2Zr4-MOF-525 clusters, together with their optimized structures along the reaction pathway (Fig. S2). All high-energy intermediates are shown in gray in Fig. S2 and listed in Table S2 to indicate their minor mechanistic significance. At the transition state, the OH approaches the CO2 carbon, forming a partial O(OH)–C bond, elongating both C–O bonds, and bending the O–C–O angle further from linearity. The transition state exhibits single imaginary frequencies of 166.2i, 269.4i, and 295.5i cm−1 for Zr6, Ti1Zr5, and Ti2Zr4, respectively. The reaction is slightly endergonic (∼0.3 eV) with activation free energies of 0.52, 0.22, and 0.31 eV for Zr6, Ti1Zr5, and Ti2Zr4, respectively, demonstrating that Ti substitution markedly lowers the OH-attack barrier.
Charge and structural analyses clarify this effect (Table 1). In the Zr6 system, charge accumulation resides on the metal (Δq(M) = −0.14|e|) with negligible O → C (∼0|e|), yielding a moderately bent CO2 (O–C–O = 155.8°) and a long O(OH)–C distance (2.04 Å), consistent with the highest activation barrier (0.52 eV). In Ti1Zr5, a slight positive shift in Δq(M) (+0.01|e|) indicates Ti-induced polarization of the Zr–OH site, enabling limited donation into CO2 π* orbitals. Consequently, CO2 bends more (149.5°) and the O(OH)–C distance shortens (1.87 Å), reducing the activation free energy to 0.22 eV.
| System | Δq_C(CO2) |e| | Δq_O(OH) |e| | Δq_M |e| | Δq (O → C) |e| | ΔG‡ (eV) | O–C–O (°) |
|---|---|---|---|---|---|---|
| Note: Δq values were obtained from Mulliken charge analysis, where Δq = q(TS) − q(ADS). The adsorption state (ADS) and the transition state (TS) correspond to the OH-assisted pathway. Positive Δq_C(CO2) denotes charge accepted by the CO2 carbon, while negative Δq_O(OH) indicates electron donation from the hydroxyl oxygen. Δq_M represents the change on the open Zr/Ti center; where a positive value indicates electron depletion and enhanced electrophilicity. Δq (O → C) represents the donation magnitude (≥0). | ||||||
| Zr6 | +0.004 | +0.009 | −0.143 | 0.000 | 0.52 | 155.8 |
| Ti1Zr5 | +0.044 | +0.024 | +0.010 | 0.000 | 0.21 | 149.5 |
| Ti2Zr4 | +0.045 | −0.030 | +0.012 | +0.030 | 0.30 | 150.4 |
For Ti2Zr4, the –OH ligand binds directly to Ti, enhancing O → C charge transfer (0.03|e|), shortening the Ti–O(OH) to 2.04 Å (vs. >2.15 Å for Zr–O(OH)), and yielding a short O(OH)–C distance (1.88 Å) that stabilizes the transition state (Ea = 0.31 eV). Overall, Ti incorporation enhances metal–oxo polarization, strengthens OH⋯CO2 interaction, and promotes facile CO2 activation.
After the transition state, node-bound bicarbonate (*HCO3) is formed with relative energies of 0.26, 0.33, and 0.33 eV for Zr6, Ti1Zr5, and Ti2Zr4, respectively. The subsequent hydrogenation of *HCO3 can proceed by (i) protonation at the oxygen atom to yield carbonic acid (*H2CO3), which readily decomposes into *CO2 and H2O, or (ii) carbon protonation to give *OCHO + H2O. The newly formed species binds to the adjacent Zr/Ti–OH site and stabilizes the intermediates via hydrogen bonding. Our calculations show that the formate pathway is thermodynamically preferred: *OCHO is more stable than *H2CO3 and (*CO2 + H2O) by 2.40 (1.54), 1.41 (0.82), and 1.01 (0.61) eV for Zr6, Ti1Zr5, and Ti2Zr4, respectively. These results identify HCO3 as the true intermediate in CO2 activation, in line with previous reports on bicarbonate-mediated CO2 reduction over UiO-66 MOFs17 and Fe–porphyrin catalysts.33,34
These two routes differ fundamentally in proton–electron requirements. Formation of *H2CO3 involves one proton–electron pair and oxygen protonation without carbon reduction—a non-reductive acid–base step. Conversely, *OCHO + H2O formation requires two proton–electron pairs and creates a C–H bond—the true first reduction of CO2. This explains the lower free energies for the formate route and consistent thermodynamic preference across all nodes. Moreover, the HCO3 → OCHO conversion is slightly more exergonic for Ti-containing nodes (by ≥ 0.2 eV), confirming that Ti enhances both kinetic and thermodynamic driving forces.
As shown in Fig. 3, the competing carboxyl route *COOH + H2O is > 1 eV less favorable for all systems. Compared with the passive-pathway, the *COOH intermediate in the OH-assisted mechanism is approximately 1 eV more stable (1.31 vs. 2.52 eV for Ti2Zr4). Subsequent hydrogenation of *COOH produces *CO with relative energies of 2.74, 2.16, and 1.92 eV for Zr6, Ti1Zr5, and Ti2Zr4, respectively.
Given the reported band gaps of ∼1.7 eV for Zr-MOF-525 and mixed Ti/Zr-MOF-525 and 1.9 eV for free-base TCPP,16,35 CO formation within ≤2.0 eV (for Ti2Zr4) is thermodynamically accessible under visible-light excitation, whereas the ∼2.5 eV barrier in the passive pathway exceeds the available photoenergy. This correlation suggests that CO generation preferentially occurs via the OH-assisted route, especially in Ti-substituted systems. Subsequent hydrogenation of *CO to *CHO or *COH on Ti2Zr4 is less favorable than CO desorption, implying that CO is readily released once formed.
Following *OCHO formation, two hydrogenation routes are possible: (i) attack at the carbon to produce *OCH2O → *OCH2OH, or (ii) attack at the oxygen to generate *HCOOH → *CH2OOH. The *OCH2OH intermediate then reduces to *OCH2 with H2O release. Our calculations reveal that hydrogenation via oxygen is thermodynamically more favorable across all systems. The next protonation converts *OCH2 to *OCH3, which is more stable than *CH2OH. Further protonation of *OCH3 yields *CH3OH and continued hydrogenation leads to CH4 formation alongside surface O species that are finally re-hydroxylated, closing the catalytic cycle.
The *OCHO → *HCOOH conversion is identified as the potential-determining step, with calculated free-energy changes (ΔG) of 2.10, 0.99, and 0.90 eV for Zr6, Ti1Zr5, and Ti2Zr4, respectively (Fig. 3). The desorption energies of the C1 products were also evaluated and found to be higher than their subsequent hydrogenation energies. For Ti2Zr4, *OCH2 desorption (0.08 eV; relative energy 1.59 eV) is less favorable than its conversion to *OCH3 (0.52 eV). Similarly, *CH3OH desorption (1.09 eV) is less stable than final CH4 formation accompanied by surface –OH regeneration. Overall, Ti substitution and active surface hydroxyls synergistically lower the activation barriers and stabilize key intermediates, thereby driving multi-electron CO2 reduction beyond the two-electron limit observed on OH-passive surfaces.
In summary, CO2 photoreduction on mixed Ti/Zr-MOF-525 proceeds most favorably through the OH-assisted formate pathway, where CO2 activation and the initial hydrogenation yield *OCHO as the key intermediate. The subsequent multi-step hydrogenation follows the sequence *HCOOH → *OCH2OH → *OCH2 → *OCH3 → *CH3OH → *OH, accompanied by water formation and regeneration of surface –OH groups. For Ti2Zr4, the *OCH3 → *CH3OH and *OCH3 → *O + CH4 steps are energetically comparable, allowing both CH3OH and CH4 formation. In contrast, for Zr6 and Ti1Zr5, *OCH3 is more stable than *O, making CH4 formation less favorable. Ti substitution enhances CO2 activation, stabilizes key intermediates, and lowers the thermodynamic barriers for deep reduction. Cooperative interactions among open Zr/Ti sites, neighboring hydroxyl groups, and weakly adsorbed water molecules facilitate proton transfer and hydrogen-bond stabilization along the pathway. Overall, Ti-containing nodes exhibit the strongest driving force for multi-electron transfer, enabling selective CH4 formation under visible-light excitation.
To place the mechanistic results in the context of photocatalysis, we briefly examine the photophysical properties of the mixed Ti/Zr-MOF-525 frameworks. Periodic HSE06//PBE-D3(BJ) calculations yield band gaps of approximately 2.0 eV for all three systems, placing them within the visible-light region and in good agreement with the experimentally reported band gap of ∼1.7 eV for mixed Ti/Zr-MOF-525.16 As shown by the density of states (DOS) analysis (Fig. S3, SI), the highest occupied crystal orbital (HOCO) and lowest unoccupied crystal orbital (LUCO) are largely dominated by porphyrin linker states, while Ti substitution introduces additional Ti 3d states closer to the LUCO, thereby enhancing the electron-accepting character of the metal-oxo node. Although light absorption and charge generation are governed by the extended periodic framework, the subsequent catalytic steps are controlled by the local coordination environment at defective Ti/Zr nodes; accordingly, the cluster-level analysis captures the ground-state energetics that dictate reaction pathways and product selectivity under photocatalytic conditions.
Supplementary information (SI): detailed Gibbs free-energy profiles together with all corresponding optimized structures. See DOI: https://doi.org/10.1039/d5cp04190b.
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