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Article

Photo-Induced Charge Separation vs. Degradation of a BODIPY-Based Photosensitizer Assessed by TDDFT and RASPT2

by
Karl Michael Ziems
,
Stefanie Gräfe
and
Stephan Kupfer
*
Institute of Physical Chemistry and Abbe Center of Photonics, Friedrich Schiller University Jena, Helmholtzweg 4, 07743 Jena, Germany
*
Author to whom correspondence should be addressed.
Catalysts 2018, 8(11), 520; https://doi.org/10.3390/catal8110520
Submission received: 21 September 2018 / Revised: 31 October 2018 / Accepted: 1 November 2018 / Published: 5 November 2018
(This article belongs to the Special Issue Catalysis for Energy Production)
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Abstract

:
A meso-mesityl-2,6-iodine substituted boron dipyrromethene (BODIPY) dye is investigated using a suite of computational methods addressing its functionality as photosensitizer, i.e., in the scope of light-driven hydrogen evolution in a two-component approach. Earlier reports on the performance of the present iodinated BODIPY dye proposed a significantly improved catalytic turn-over compared to its unsubstituted parent compound based on the population of long-lived charge-separated triplet states, accessible due to an enhanced spin-orbit coupling (SOC) introduced by the iodine atoms. The present quantum chemical study aims at elucidating the mechanisms of both the higher catalytic performance and the degradation pathways. Time-dependent density functional theory (TDDFT) and multi-state restricted active space perturbation theory through second-order (MS-RASPT2) simulations allowed identifying excited-state channels correlated to iodine dissociation. No evidence for an improved catalytic activity via enhanced SOCs among the low-lying states could be determined. However, the computational analysis reveals that the activation of the dye proceeds via pathways of the (prior chemically) singly-reduced species, featuring a pronounced stabilization of charge-separated species, while low barriers for carbon-iodine bond breaking determine the photostability of the BODIPY dye.

Graphical Abstract

1. Introduction

The supply of renewable and sustainable energy sources is among the key scientific and technological endeavors of the 21st century [1,2,3,4,5]. Essentially promising is hereby the conversion of solar radiation, which could provide approximately 3 × 1024 J of usable energy per year, thus exceeding human kinds current energy demands by several orders of magnitude [5], i.e., by virtue of solar cells, as well as by solar energy conversion to produce chemical fuels from carbon dioxide or water [5,6,7].
In the field of solar fuels, a plethora of devices based on semiconductors [8,9,10,11,12] and photoactive dyes in homogeneous as well as in multi-component systems [13,14,15,16,17] were thoroughly studied to promote hydrogen generation. The initial absorption of (sun)light and the supply of photoelectrons by the photosensitizer (PS) is essential for any further application in solar energy conversion. Therefore, the absorption spectrum of a PS should feature a pronounced overlap with the solar radiation spectrum, spanning from the near infrared to the UV region to enable efficient light-harvesting. Furthermore, long-term (photo- and thermal) stability, suitable electrochemical properties to enable (inter- or intramolecular) electron transfer and long excited-state lifetimes, in combination with low production costs and toxicity, are highly desired [18]. Since the 1970s, mostly transition metal complexes based on ruthenium, platinum, iridium, and rhenium, were employed as PSs in photocatalysis [3,18,19,20,21,22,23,24,25,26,27]. However, such complexes are commonly high priced and toxic, which limits their wide-range application. An alternative are low-cost earth-abundant metal-free PSs containing organic dyes, such as fluorescein, porphyrins, or eosin Y [15,16,28,29,30,31,32,33]. Moreover, boron dipyrromethene (BODIPY) (IUPAC name: 4,4-difluoro-4-bora-3a,4a-diaza-s-indacene) dyes were used as light-harvesting units in inter- [34] and intramolecular [35,36,37,38,39] photocatalytic hydrogen evolution.
BODIPY dyes combine broad absorption features from the visible to the UV range with high extinction coefficients, high quantum yields, and photostability, while these photophysical and photochemical properties can be easily tailored by structural modification [40,41]. Thus, a vast variety of BODIPY dyes have been reported and investigated with extensive experimental and theoretical efforts [40,42,43,44,45,46,47,48,49]. Several BODIPY dyes for application in two-component photocatalysis were prepared Beweries et al. and investigated by a suite of spectroscopic, e.g., UV–VIS and time-resolved spectroscopy, and computational methods [50,51]. This multicomponent approach utilizes a BODIPY PS (denoted 1), triethylamine (TEA) as a sacrificial electron donor, and [Pd(PPh3)Cl2]2 as a precursor for catalytically-active palladium nanoparticles in tetrahydrofuran (THF)/water (see Scheme 1a).
Introduction of a mesityl group at the meso-position allowed enhancing the previously reported long-term stability of 20 h by a factor of ten. At the same time, the catalytic turn-over was increased by a factor of seven by virtue of iodine substituents at the positions 2 and 6 of the BODIPY (X1 and X2) compared to the unsubstituted parent compound (X1 = X2 = H) [50]. According to Beweries et al., the enhanced catalytic activity of the iodinated species, 1, is ascribed to an efficient intersystem crossing (ISC) between the initially populated excited singlet states and the nearby long-lived charge-separated triplet states by virtue of sizeable spin-orbit coupling (SOC) introduced by the iodine atoms. In the following, a probable reduction of the charge-separated dye by the sacrificial electron donor (TEA) leads to the formation of a singly-reduced species with the excess charge stabilized on the terminal mesityl moiety. Subsequent intermolecular electron transfer among the PS and [Pd(PPh3)Cl2]2 generates the catalytically-active palladium species, which leads to the formation of molecular hydrogen. Experimental evidence for such a population transfer via ISC is given by the low emission quantum yields and low singlet excited-state lifetimes in comparison with the unsubstituted BODIPY dye, while the population of long-lived charge-separated states is suggested by transient absorption spectroscopy and time-dependent density functional theory (TDDFT) simulations [50]. This mechanism is denoted in the following as heavy atom mechanism. An alternative scheme—not relying on efficient ISC—is labelled a reductive mechanism in what follows, whereby the PS is initially reduced by TEA and subsequently photoexcited. The excitation of the reduced dye (with the excess charge on the BODIPY core) then leads to a charge transfer to the mesityl group and further—in accordance with the previously introduced heavy atom mechanism—to an intermolecular electron transfer to [Pd(PPh3)Cl2]2 and H2 evolution. The catalytic cycles for both schemes, the heavy atom, as well as the reductive mechanism, are illustrated in Scheme 1. However, under catalytic conditions, photodegradation, i.e., cleavage of the carbon-iodine bonds, occurs after approximately 20 h leading, in consequence, to the formation of the catalytically less active unsubstituted parent BODIPY (X1 = X2 = H) [50].
The present fully computationally study aims at elucidating the coupled photo-induced redox processes, namely the heavy atom mechanism vs. the reductive mechanism (Scheme 1), associated with the generation of the reduced BODIPY dye enabling the catalytically active reduced palladium species, while SOCs are calculated to rationalize ISC processes. Furthermore, the quantum chemical simulations intend to determine the excited state relaxation channels associated to C-I bond cleavage and, thus, the photodegradation of the PS and the decrease of the catalytic activity. To this aim, and in contrast to the previous joint synthetic-spectroscopic-theoretical study, the excited state landscape of 1 is investigated in various oxidation and spin states using state-of-the-art multiconfigurational methods, i.e., multi-state restricted active space perturbation theory through second-order on a restricted active space self-consistent field reference (MS-RASPT2//RASSCF). The application of multiconfigurational methods for the present BODIPY dye is essentially mandatory since computationally less demanding TDDFT simulations are well known to yield contradictory results for this class of compounds [52,53,54].
This paper is organized as follows: Section 2.1 comprises the preliminary benchmark calculations at the RASPT2 and TDDFT level of theory applied subsequently to unravel the photo-induced reaction mechanism in Section 2.2 and the photodegradation channels in Section 2.3. Section 3 describes the quantum chemical methods and the methodology to assess the timescales of ISC processes. Finally, discussion and conclusions are provided in Section 4.

2. Results and Discussion

To assess the photophysics and the photochemistry of 1, its initial photo-excitation in the Franck Condon (FC) region is conscientiously investigated by TDDFT and RASPT2 simulations, while, subsequently, the relaxation mechanisms and degradation pathways are elucidated.

2.1. Preliminary Benchmark

As stated before, TDDFT lacks accuracy for describing multiconfigurational systems and boron-species in general [42,55,56,57]. Therefore, a preliminary benchmark was conducted, comparing the excited-state properties in the FC region at the TDDFT and the RASPT2 levels of theory within the equilibrium structures of the non-reduced singlet (S0, 110) and the singly-reduced doublet (D0, 21−1) C2v-restricted dye, see Table 1 and Figures S1 and S2. TDDFT slightly overestimates the bright HOMO-LUMO transition (S1 and D5), localized on the BODIPY core by 0.17 and 0.20 eV for 110 and 21−1, respectively, in comparison to MS-RASPT2, which is related to the initial photo-activation. Contrarily, PBE0 substantially underestimates the dissociative and charge transfer (CT) states by up to 1.1 eV. The later CT states, where charge migration takes place from the BODIPY core to the phenyl moiety, are in general dark; therefore, a direct population of such states is highly unlikely. An exception is the CT state D5 of A2 symmetry as obtained by MS-RASPT2 for the singly-reduced doublet (21−1), see Table 1. This state—or rather the excitation into this state—results in an oscillator strength of 0.15 a.u. Furthermore, a substantial deviation of the excitation energy of 1.4 eV compared to the corresponding TDDFT state (D2) is obtained. This discrepancy originates from the mixed electronic character in the multiconfigurational calculations. The contribution of the respective CT transition, π4*(b2) to πph,4*(a2), is merely 29%, while an intraligand transition (IL) of the BODIPY fragment, π4*(b2) to π4*(a2), contributes with 38%. Therefore, it is presumably that the increased oscillator strength—in comparison to PBE0—is a consequence of the (bright) IL contribution (see Table S6). A separation of these two transitions into separated electronic states could not be achieved, e.g., by alteration of the applied level shift and the RAS partitioning.
In accordance with the computational result for the doublet states of the reduced system the quartet states within 21−1, associated to C-I bond cleavage and CT, are likewise underestimated by approximately 0.8 eV at the TDDFT level of theory. However, with excitation energies exceeding 4 eV (MS-RASPT2), these quartet states are very unlikely to participate in the subsequent excited state relaxation cascades upon photoexcitation in the visible region.
Despite, the deviation of the PBE0 results from the RASPT2 reference values, TDDFT allows a qualitative evaluation of the low-lying excited states of the present BODIPY dye. However, the tendency of the applied TDDFT protocol to underestimate CT and dissociative states needs to be considered. For simplicity, the TDDFT notation is utilized to label the electronic states of interest in the following.

2.2. Light-Induced Charging of the PS

The following section aims at elucidating the photo-mechanism associated to the formation of the charge-separated BODIPY species after initial excitation into the low-lying bright IL state of 110 (S1) and 21−1 (D5) and subsequent relaxation along the excited state potential energy (hyper-)surface (PES).

2.2.1. Heavy Atom Mechanism

Within the framework of the suggested heavy atom mechanism—starting in the 110 geometry—excitation into the bright S1 state is followed by ultrafast ISC into long-lived and low-lying charge-separated triplet states. The probability of such population transfer from S1 to the triplet manifold is determined by the respective SOCs obtained within the FC region of 110 at the MS-RASPT2 level of theory. The multiconfigurational calculations reveal merely two triplet states, T1 and T2, at 1.88 and 3.04 eV, in the vicinity of the bright S1 state (2.71 eV) within the FC region. The spin-orbit interaction (C2v-restricited) of both triplet states (B1), local excitations of the BODIPY fragment, and S1 (B1) are forbidden by means of symmetry, see Table S7. Charge-separated triplet states from the BODIPY core to the phenyl moiety, T10 and T11, feature excitation energies of approximately 5.5 eV and display very small SOCs of 0.0 and 0.5 cm−1 with S1, respectively. The highest coupling of S1 is obtained with T7 (4.93 eV) with merely 5.3 cm−1. Pronounced SOCs are obtained among the singlet ground state and high lying dissociative triplet states, e.g., T5 at 4.83 eV (778.0 cm−1) and the higher order dissociative state T7 in the RASDiss at 5.83 eV (925.5 cm−1).
The computational results shown in Section 2.1 clearly reveal that the CT states of interests are high in energy and inaccessible from S1 within the FC region. However, upon structural relaxation, these states might undergo substantial stabilization. Thus, several excited singlet, S1, S2, S3, S8, and S11, and triplet states, T1, T6, T7, T8, T11, T12, and T13 were fully optimized using TDDFT. The respective singlet and triplet states were tracked within each equilibrium structure and displayed in a so-called geometry-states correlation diagram for 110. As can be easily seen in Figure 1, all CT states (T6, T11, T12, and T13) undergo only slight stabilization to 3.57, 3.89, 4.07, and 4.17 eV upon relaxation, respectively. Thus, a population transfer from S1 to any CT state is energetically unfavorable.
A reason for the high lying CT states is the orthogonal alignment of the BODIPY core with respect to the phenyl moiety within the C2v-restricted partially optimized equilibrium structure and, thus, the omitted overlap of the π-systems. Therefore, a relaxed TDDFT scan along a dihedral connecting the main- and side-ring with a step size of 5° was carried out. The calculated PESs are displayed in Figure 2a, which reveal a substantial stabilization of up to 0.98 eV at 45° for the T6 CT state. The discontinuity of the T6 PES between 75 and 80° is associated to a mixing of the HOMO with the iodine p-orbitals. As mentioned in Section 3, full relaxation leads to a reduction of the symmetry from C2v to C2, while the global singlet ground state is found with a slightly non-orthogonal (~85°) alignment of the aromatic planes. The ground, as well as all investigated excited states, are stabilized from the C2v (90°) to the C2 (85°) equilibria merely by 0.1 eV. Thus, the reduction of the degrees of freedom to C2v as utilized in the preliminary benchmark simulations presented in Section 2.1 is feasible. The vibrational modes corresponding to this torsion are found at low frequencies, i.e., 45 cm−1, 71 cm−1, 102 cm−1, and 170 cm−1, see Figure S3. Considering a thermal energy of 0.026 eV (room temperature), a displacement along the relaxed PES up to 69° is feasible, which leads in consequence to a lowering of the T6 CT state from 3.9 (at 90°) to 3.0 eV (at 69°). Thus, the energy gap between S1 and T6 is substantially decreased. However, recalling the benchmark from Section 2.1, CT states are underestimated using PBE0 by ~0.8 eV.
In order to re-evaluate the possibility of a population transfer from S1 to the triplet CT states, the SOCs were re-calculated at a distorted structure (55°)—at the vicinity of the crossing of S1 and T6 as obtained by TDDFT. Analogous to the C2v-restricted structure, couplings of 0.1–4.0 cm−1 were obtained at the MS-RASPT2 level of theory (see Table S8). Thus, and albeit the pronounced stabilization of the charge-separated triplet states upon distortion, no evidence for a population transfer from the bight S1 to the close-by triplet states is present.

2.2.2. Chemical Reduction Mechanism

The second proposed reaction mechanism addressing the generation of the catalytic active BODIPY species is based on a preliminary chemical reduction of the PS to form the singly-reduced BODIPY 21−1, followed by photo-excitation into the low-lying D5 state and subsequent charge transfer processes within the excited states. In contrast to the non-reduced dye, 21−1 features two low-lying CT states, D1 and D2 at 2.04 and 2.11 eV, well below the bright D5 at 2.69 eV. Thus, population of these dark CT states upon photoexcitation of the bright ππ* state (D5) and subsequent relaxation and internal conversion is feasible. As discussed in Section 2.1, TD-PBE0 is in good agreement with MS-RASPT2 regarding the properties of the low-lying excited doublet states of the reduced dye, while the disagreement of MS-RASPT2 with respect to the TDDFT D2 state (2.11 eV) originates from a pronounced mixing with a ππ* transition in the multiconfigurational calculations.
Analogous to the investigation of the non-reduced system, a geometry-states correlation diagram is presented in Figure 3 comprising D0–D4. The diagram reveals a pronounced stabilization of the CT states upon equilibration below 2 eV, while the structural variations are rationalized by minor alterations of the bond lengths of the aromatic rings. This finding is in contrast to the results obtained for the non-reduced dye, where no pronounced stabilization of the CT states was observed. However, even more substantial stabilization is observed for the dissociative D3 state, which is found in its optimized structure below the former doublet ground state and, thus, may lead to photodegradation (see Section 2.3).
In addition, the potential energy landscape is studied along an internal coordinate describing the relaxed torsion of the boron fragment with respect to the phenyl moiety. This internal coordinate is closely related to the low-frequency vibrational modes at 39 cm−1, 71 cm−1, 97 cm−1, and 168 cm−1, (see Figure S4). As shown in Figure 2b), the diabatic potential energy curves of the initial populated D5 (ππ* character) and the low-lying CT states cross between 50° and 55°. A further crossing of D5 and the two dissociative doublet states (D1 and D2) is accessible at approximately 30° with an energy of ~2.5 eV, considering an initial excitation energy of 2.69 (C2v structure) or 2.55 eV (C2 at 80°). Finally, the two charge-separated states (D1 and D2) intersect with the two dissociative states (D3 and D4) in the vicinity of the FC region of the fully-relaxed ground state (C2 symmetry), where all four excited states (D1–D4) are almost degenerate. Interestingly, structural distortion along this dihedral angle to the C2 minimum at 80° stabilizes the doublet ground state, as well as all low-lying excited states by approximately 0.2 eV, while the oscillator strength of the CT states increases to approximately 0.012. Thus, even a direct photo-induced population of these CT states is possible for the singly-reduced dye. The participation of (low-lying) quartet states in the excited state relaxation cascades is excluded since the lowest quartet states are found at 4.26 eV at the MS-RASPT2 and at 3.55 eV at the TDDFT levels of theory with 21−1 (Table 1). Therefore, no SOCs were calculated for the singly-reduced dye.
Finally, it is concluded that upon chemical reduction by a sacrificial electron donor (TEA), the desired photo-induced CT from the BODIPY fragment to the phenyl moiety competes with dissociative excited state relaxation channels leading to the photodegradation of the PS. The latter photodegradation processes, i.e., C-I bond breaking, will be elucidated in the following.

2.3. Photodegradation

Experimentally, the observed decline in catalytic performance of the present BODIPY PS after ~20 h of irradiation is attributed to photo-degradation, namely to C-I bond breaking and the subsequent formation of the catalytically less active unsubstituted parent dye. The performed quantum chemical simulations aim at studying such dissociative processes at a molecular level.
As shown for the non-reduced as well as for the singly reduced dye, dissociative states of πσ* nature are located well above the bright ππ* state in the FC region. However, these dissociative states undergo pronounced stabilization upon structural distortion and cross eventually with the initially populated ππ* state. The light-driven C-I splitting is first investigated for the non-reduced dye (110) and subsequently for the singly reduced dye (11−1).
In the FC region of the non-reduced dye, the dissociative states—S8 and S11—are found at excitation energies exceeding 4 eV, thus, a population transfer from the bright S1 (TDDFT: 2.88 eV and MS-RASPT2: 2.69 eV) at this geometry is unfeasible (recall Table 1). In addition, population transfer from S1 into the lowest dissociative triplet states—T7 and T8—is predicted to take place above 4 eV in the C2v-restricted structure, while SOCs of merely 40 cm−1 are calculated between the respective states (Table S9). However, substantial stabilization of the dissociative singlet and triplet states is observed in the geometry-states correlation diagram (Figure 1) for the singly-dissociative states, S8 and T7, and for the doubly dissociative states, S11 and T8, upon relaxation. Dissociation was further investigated using relaxed PESs along the stretched C-I bonds. Vibrational modes or linear-interpolated (internal or Cartesian) coordinates were intentionally not utilized, since major distortion along such coordinates is necessary to stabilize the respective dissociative states sufficiently, which also leads to a sizable distortion of the aromatic system. Figure 4a depicts the diabatic PESs of the bright S1 state, as well as the dissociative singlet and triplet states along the singly-dissociative coordinate. Surprisingly, S8 and T7 undergo pronounced stabilization and cross the diabatic bright ππ* state at 2.4 and 2.3 Å, respectively. However, no dissociative behavior is observed since both PESs feature a shallow minimum at ~2.7 Å, while additional 0.8 eV are required to reach the crossing with the singlet ground state at an excitation energy of 3.7 eV and an elongation of R = 3.85 Å. Thus, the energy provided upon excitation into the bright S1 in the FC region (TDDFT: 2.88 eV and MS-RASPT2: 2.69 eV) is insufficient to populate the dissociative states along the relaxed singly-dissociative coordinate. DFT simulations exceeding an elongation of 4 Å failed to converge. In addition, the concerted cleavage of both carbon-iodine bonds was evaluated using TDDFT along a relaxed doubly-dissociative coordinate (Figure S5), as well as using the MS-RASPT2 along an unrelaxed doubly-dissociative coordinate of C2v symmetry (Figure S6). The multiconfigurational calculations indicate once more to a slight overestimation of the S1 state and an underestimation of the dissociative states by TDDFT along the reaction coordinate, while no complete dissociative behavior is observed.
Moreover, to populate the dissociative triplet states, T7 and T8, an ISC from the bright S1 is essential. To quantify the kinetics of such process, the SOCs of the respective states were incorporated in the golden-rule expression for radiationless transitions, see Equation (1) [58]. For both cases—the population transfer from S1 to T7 and from S1 to T8—the calculated rate constants of 1.69 × 104 and 1.51 × 103 s−1, respectively, suggest rather slow processes (see Table S10). The calculated SOCs within the FC region between S1 and T7 as well as between S1 and T8 are with 0.6 and 39.2 cm−1 relatively small. Therefore, the SOCs were re-evaluated using MS-RASPT2 (with RASDiss) in the vicinity of the S1/T7 and S1/T8 crossing regions; these structures were derived by fitted quadratic potentials (see Figure S8 and Table S11). However, the obtained couplings of 1.7 (S1/T7) and 53.0 cm−1 (S1/T8) do not indicate a pronounced dependency of the SOCs along structural distortion within the studied range. Accordingly, similar values of kISC are obtained within the estimated crossing regions.
The influence of structural distortion on the SOCs was further investigated for selected points along the unrelaxed doubly dissociative coordinate, see Figures S6 and S7 for more details, while in agreement with the previous results no pronounced deviations of the S1/T7 and S1/T8 couplings were determined. The quantum chemical calculations for 110 addressing possible photodegradation pathways—associated to iodine dissociation—upon S1 excitation reveal that the population of dissociative singlet states is energetically unfavorable. However, ISC towards the energetically less unfavorable dissociative triplet states may occur on longer time scales, which is in accordance with the experimentally-observed decline of catalytic activity upon approximately 20 h.
In addition to the evaluation of the photostability of the present BODIPY-based PS within its non-reduced redox state, degradation channels upon single reduction by TEA were evaluated. The reduced dye, previously identified as the starting point for the light-induced charge separation, exhibits low-lying dissociative states, namely D3 and D4, within the GS equilibrium geometry 21−1 (see Table 1). Therefore, excitation into the bright D5 state may lead in consequence to the population of degradative excited state relaxation channels, i.e., D3 and D4. The geometry-states correlation diagram depicted in Figure 3 visualized the substantial stabilization of ~1.4 eV for the equilibrated singly-dissociative state, D3. The doubly-dissociative state, D4, features no pronounced stabilization compared to D3 and was already classified as non-dissociative for 110 and was consequently not considered in the following. Analogously to 110, the potential energy landscape of the ground and low-lying excited states of 21−1 was examined using a relaxed singly-dissociative coordinate. As evident from Figure 4b, relaxation along the singly dissociative D3 state is a prominent deactivation pathway from the bright D5 state. At approximately 2.7 Å, the dissociative state crosses with the doublet ground state. At this point and beyond, the (TD)DFT results have to be handled with caution due to the pronounced multiconfigurational character of the electronic states. In the case of the reduced dye, the singly-dissociative state is a prominent relaxation channel that may be populated from the FC region, which leads to a barrier-free cleavage of a C-I bond and, thus, to photo-degradation. Moreover, the crossing with D0 provides an explanation for the experimentally-observed iodine formation after several hours of irradiation.

3. Computational Details

All DFT and TDDFT calculations in the present study were performed using the Gaussian 09 [59] program, while all multiconfigurational simulations were carried out in Molcas 8.0 [60]. In order to reduce the computational demand without affecting the photophysical properties, the mesityl group was replaced by a phenyl moiety.
The ground state equilibrium structures of the non-reduced singlet (S0, 110) and the singly-reduced doublet (D0, 21−1) of the investigated dye—both involved initially in the proposed catalytic cycles—were optimized by means of DFT. Additionally, DFT simulations were performed to study the equilibrium structure of the non-reduced triplet (T1, 310) species. The hybrid-functional PBE0 [61] and the correlation-consistent double-ζ-basis set cc-pVDZ [62] in cooperation with the core potential MWB-46 [63] for the iodine atoms utilized. A subsequent vibrational analysis was carried out for each fully-relaxed ground state structure to verify that a minimum on the PES was obtained. All equilibrium structures denoted 110 and 21−1, feature merely C2 symmetry due to a twist of the phenyl moiety with respect to the central BODIPY core of approximately 85 and 80°, respectively. In order to reduce the computational demand, especially for the subsequent excited state simulations by means of TDDFT and multiconfigurational studies, C2v-restricted structures were additionally optimized. These structures exhibit two imaginary frequencies, e.g., −84 and −60 cm−1 for 110, correlated to the twist of the phenyl-BODIPY carbon-carbon bond.
Excited state properties, such as vertical excitation energies and transition dipole moments, were computed within the adiabatic approximation at the TDDFT level of theory using the same functional and basis set as for the preliminary ground state calculations. For each optimized structure, the 20 lowest excited states of the non-reduced dye (singlet and triplet), as well as for the singly-reduced dye (doublet and quartet), were considered. Furthermore, excited state equilibrium structures were obtained for the states of interest starting from the FC region of the ground state structure. The main focus was set hereby on states displaying photo-induced carbon-iodine bond cleavage, corresponding to the population of at least one σ* orbital of the carbon-iodine bonds, and excited states of CT character, implicating an excitation into the phenyl ring from the main π-system, or vice versa. For the heavy atom mechanism starting from the S0 structure, the first three excited singlet states (S1–S3) were optimized. Moreover, four triplet states of CT character were equilibrated: T6 and T11 representing an excitation from a phenyl orbital into the LUMO localized at the main π-system, whereas T12 and T13 show a transition from the HOMO (π-system of boron fragment) to the phenyl fragment. To address carbon-iodine bond breaking, two singlet (S8 and S11) and two triplet (T7 and T8) states were optimized for mono- and di-dissociation, respectively. The intermediate structures for the chemical reduction mechanism (starting from D0) were obtained based on analogous TDDFT simulations and focused on the two low-lying CT states (D1 and D2), as well as on the dissociative states D3 and D4. In addition, TDDFT simulations within the quartet manifold were performed.
Effects of interaction with a solvent (THF: ε = 7.4257, n = 1.4070) were taken into account for all DFT and TDDFT calculations by the integral equation formalism of the polarizable continuum model [64]. The non-equilibrium procedure of solvation was used for the calculation of excitation energies within the FC region, which is well adapted for processes where only the fast reorganization of the electronic distribution of the solvent is important. In contrast, the equilibrium procedure of solvation was applied for excited state geometry optimizations.
In addition, the computational results obtained by the economical TDDFT simulations were validated against multiconfigurational calculations performed at the RASPT2 [65,66] //RASSCF [67,68] level of theory. The relativistic ANO-RCC-VDZP basis set [69,70] and the Choleskey decomposition [71] to generate the two-electron integrals were utilized. All calculations were exclusively carried out in the gas phase within the solvated PBE0 ground state geometries (110 and 21−1) and with C2v symmetry to reduce the computational costs. To label the restricted active spaces (RASs) utilized in the RASSCF calculations, the notation RAS (n,l,m;i,j,k) of Gagliardi and co-workers [72] was applied, where n labels the number of active electrons, l the maximum number of holes in the RAS1, m the maximum number of electrons in RAS3, and i, j, and k the number of active orbitals in the RAS1, RAS2, and RAS3 subspaces, respectively. The RAS1 consists of orbitals with large occupation numbers, where only a maximum number of electron holes is permitted. Contrary, the RAS3 includes virtual orbitals with occupation numbers close to zero, with only a defined maximum number of electrons being allowed. The RAS2 is equivalent to the active space in the CASSCF method, including all possible electronic configurations.
The aim of the multiconfigurational calculations was to accurately describe the ground state, the first bright state, states leading the carbon-iodine bond breaking, and CT states between the aromatic rings for the non-reduced as well as for the singly reduced dye. Hence, the complete π-system of the main (heteroaromatic) ring and the π-system of the attached phenyl ring—excluding the complete bonding and anti-bonding orbitals of both fragments—were incorporated in the active space to ensure a balanced description of the respective states. Furthermore, the p-orbitals of the iodines in plane with the π-system were included. To describe dissociative processes, two pairs of σ/σ*-orbitals of the C-I bonds were included, leading in consequence to an active space (24,21). Since a complete active space approach would have exceeded the available resources, a RASSCF approaches was chosen, and the 24 orbitals were distributed along the RAS subspaces. Two different RAS partitions, RASdiss and RASCT, based on the active space (24,21) were designed (see Figure 5). Each partition enables the description of S0 and D0, as well as of the bright excited states S1 and D5 by assigning HOMO-1 π2(a2), HOMO π3(a2), and LUMO π*4(b2) to RAS2. RASdiss was designed in particular to investigate excited states with dissociative character, i.e., carbon-iodine bond cleavage (non-reduced: S8, S11, T7, and T8; singly-reduced: D3 and D4). Thus, the two anti-bonding orbitals σ*(a1) and σ*(b1) were assigned additionally to RAS2. In contrast, RAS2 of RASCT comprises in addition to π2(a2), π3(a2), and π*4(b2), four π-orbitals of the phenyl moiety, namely πph,2(b1), πph,3(a2), π*ph,4(a2), and π*ph,5(b1), to investigate CT phenomena among the molecular fragments, i.e., T6, T11, T12, and T13 of the non-reduced dye and D1 and D2 of the reduced system. Interactions among the subspaces of RASdiss and RASCT were taken into account up to double excitations, which leads in consequence to a RASdiss (21,2,2;10,5,6) spanning over 71,140 configuration state functions (CSFs) and a RASCT (21,2,2;8,7,6) spanning over 534,332 CSFs.
State-average (SA-)RASSCF calculations including the first four roots in each spatial symmetry and multiplicity were carried out using both RASs in the 110 and 21−1 geometry. Dynamical correlation was added my means of multistate (MS-)RASPT2 [73] on the SA-RASSCF reference wave functions, while the core electrons were kept frozen and a real level shift [74] of 0.3 a.u. was applied to prevent intruder states.
Transition dipole moments and SOCs—between singlet and triplet states—were obtained at the RASSCF and RASPT2 levels of theory using the CAS state interaction method [75]. The SOCs rest on an effective one-electron spin-orbit Hamiltonian and atomic mean field integrals [76]. They were obtained between the bright and the dissociative states (utilizing RASdiss), as well as between the bright and the CT states (utilizing RASCT) in 110, and along selected coordinates, i.e., linear-interpolated Cartesian coordinates (LICCs), vibrational normal modes, as well as relaxed scans along bond lengths and dihedral angles. The carbon-iodine dissociation was studied along a symmetric and an antisymmetric elongation of both respective bonds. In case of the CT processes, a dihedral angle describing the torsion of the two aromatic systems was utilized. The excited state potential energy landscape along these coordinates was assessed exclusively by virtue of TDDFT. The symmetric bond cleavage (A1 displacement, non-relaxed coordinate) was, furthermore, investigated at the RASPT2 level of theory including SOCs, while the first two roots in each spatial symmetry and multiplicity were calculated. This coordinate was intentionally chosen to allow the application of multiconfigurational methods.
In addition, the rate constant for a population transfer from the bright S1 state towards the triplet manifold upon photoexcitation was assessed for the non-reduced dye. Therefore, the golden-rule expression for radiationless transitions was adapted for ISC rate constants and SOCs as interacting perturbation-potential. These rate constants, kISC, were obtained along LICCs connecting the FC region with the equilibrated T7 and T8 structures, respectively, by [58]:
k ISC i f = 2 π ħ | 〈 Ψ i | H ^ SOC | Ψ f 〉 | 2 1 4 π λ R T exp [ − ( Δ E + λ ) 2 4 λ R T ]
Here, Δ E is the energy difference between the optimized states, λ the reorganization energy and 〈 Ψ i | H ^ SOC | Ψ f 〉 the SOC matrix element between the initial state i and the final state f. The ground and excited state geometries and excited state energies were obtained by DFT and TDDFT, while SOCs were rationalized by RASPT2 calculations within the FC region. Equation (1) was evaluated at room temperature (298 K).

4. Conclusions

The aim of the present computational study was to elucidate the photophysical and photochemical processes leading to the formation of the catalytically active species of a BODIPY-based photosensitizer in the scope of light-driven hydrogen evolution, as well as to identify prominent excited-state relaxation channels associated to the photodegradation of the dye. The preliminarily performed benchmark of the excited states properties obtained by economical TDDFT calculations against state-of-the-art multiconfigurational simulations, namely MS-RASPT2, showed that the PBE0 functional is able to estimate the potential energy landscape in the ground state structure of the non-reduced and the singly reduced photosensitizer in reasonable agreement with MS-RASPT2. The formation of the catalytically active charge-separated species was investigated by virtue of two postulated mechanisms: (i) The first mechanism relies on the initial photo-excitation of the non-reduced species and a subsequent ultrafast population transfer to low-lying charge-separated triplet states based on the SOCs introduced by the iodine atoms attached to the BODIPY core; (ii) The preliminary step in the second mechanism is a chemical reduction of the PS by the sacrificial electron donor (triethylamine) and a subsequent photo-induced charge transfer. Within (i), the crucial step involves an ISC from the bright excited singlet state towards the triplet manifold. The potential energy landscape as well as the minor SOCs obtained by MS-RASPT2 and TDDFT suggest that the population of long-lived charge-separated triplet states is highly unlikely, see Scheme 2a. However, the quantum chemical calculations performed for the singly-reduced dye reveal a pronounced stabilization of CT states between the BODIPY moiety and the attached phenyl group, which are further lowered upon partial excited-state planarization of the two aromatic fragments. Therefore, the formation of the catalytically active species is found to be related to the reduction of the BODIPY photosensitizer prior to the photoexcitation, see Scheme 2b.
Furthermore, the photodegradation processes, i.e., the dissociation of iodine, were identified for the non-reduced as well as for the singly-reduced species. Cleavage of the carbon-iodine bond(s) within the excited singlet states of the non-reduced dye is energetically unfavorable, while SOCs of up to ~50 cm−1 may lead to an ISC towards the energetically less unfavorable dissociative triplet states on longer time scales. In contrast, the light-driven cleavage of the carbon-iodine bond(s) was found to be a prominent excited-state relaxation channel of the singly-reduced dye.
Thus, this study does not support to ascribe the enhanced catalytic performance of the present BODIPY dye with respect to its unsubstituted parent species to a heavy atom effect introduced by the iodine atoms. Further quantum chemical and quantum dynamical investigations are envisaged for the parent dye in order to rationalize the impact of iodine substitution (2,6 position) with respect to the photophysical and photochemical properties as well as for dyes incorporating electron donating substituents at the 2,6 position, e.g., methoxy groups, that allow to stabilize the desired charge-separated intermediates and to enhance the photostability simultaneously.

Supplementary Materials

The following are available online at https://www.mdpi.com/2073-4344/8/11/520/s1, Details and additional information regarding the preliminary MS-RASPT2/TDDFT benchmark, TDDFT results for singlet and triplet states (110) and doublet states (21−1), selected vibrational normal modes, SOCs and rate constants, as well as PESs along selected coordinates.

Author Contributions

K.M.Z. performed all quantum chemical simulation; S.K. and S.G. supervised the present study; K.M.Z. and S.K. analyzed the data; and K.M.Z., S.G., and S.K. wrote the paper.

Funding

This research received no external funding.

Acknowledgments

K.M.Z. gratefully acknowledges generous support from the Konrad Adenauer foundation and the German Academic Scholarship Foundation. S.K. and S.G. thank the Thuringian State Government for financial support within the ACP Explore project. The authors thank Torsten Beweries for fruitful discussions. All calculations were performed at the Universitätsrechenzentrum of the Friedrich-Schiller University of Jena.

Conflicts of Interest

The authors declare no conflict of interest.

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Catalysts 08 00520 sch001 550
Scheme 1. (a) Two-component systems investigated by Beweries et al. consisting of a BODIPY PS, Pd source for water reduction, and TEA as a sacrificial electron donor [50,51]. Suggested catalytic cycles based on (b) the heavy atom effect via the non-reduced BODIPY system, and (c) the chemical reduction followed by photo-excitation of the singly reduced dye and internal conversion (IC).
Scheme 1. (a) Two-component systems investigated by Beweries et al. consisting of a BODIPY PS, Pd source for water reduction, and TEA as a sacrificial electron donor [50,51]. Suggested catalytic cycles based on (b) the heavy atom effect via the non-reduced BODIPY system, and (c) the chemical reduction followed by photo-excitation of the singly reduced dye and internal conversion (IC).
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Catalysts 08 00520 g001 550
Figure 1. TDDFT geometry-states correlation diagram and charge density differences of the corresponding states. Asterisks indicate non-converged geometries, where the last step of the optimization procedure has been taken. Color code: singlet ground state (black), singlet state of IL character (blue), dissociative singlet state (red), triplet state of IL character (green), dissociative triplet state (orange), and triplet CT state (cyan).
Figure 1. TDDFT geometry-states correlation diagram and charge density differences of the corresponding states. Asterisks indicate non-converged geometries, where the last step of the optimization procedure has been taken. Color code: singlet ground state (black), singlet state of IL character (blue), dissociative singlet state (red), triplet state of IL character (green), dissociative triplet state (orange), and triplet CT state (cyan).
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Catalysts 08 00520 g002 550
Figure 2. Relaxed TDDFT scan around a dihedral connecting the two aromatic ring systems for 110 (a) and 21−1 (b). Arrows indicate a possible relaxation pathway starting from the bright D5 state in 21−1. Colour code: ground state (black), bright excited singlet/doublet state (blue), triplet CT states (cyan), dissociative doublet state (red), CT doublet state (green).
Figure 2. Relaxed TDDFT scan around a dihedral connecting the two aromatic ring systems for 110 (a) and 21−1 (b). Arrows indicate a possible relaxation pathway starting from the bright D5 state in 21−1. Colour code: ground state (black), bright excited singlet/doublet state (blue), triplet CT states (cyan), dissociative doublet state (red), CT doublet state (green).
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Catalysts 08 00520 g003 550
Figure 3. TDDFT geometry-states correlation diagram for the first five doublet states and charge density differences. Color code: doublet ground state (black), bright excited doublet state (blue), dissociative doublet state (red), and CT doublet state (green). Since D3(A1) becomes the electronic ground state within its equilibrium, the bright D5 state cannot be described in this structure using a single determinate method, i.e., TDDFT.
Figure 3. TDDFT geometry-states correlation diagram for the first five doublet states and charge density differences. Color code: doublet ground state (black), bright excited doublet state (blue), dissociative doublet state (red), and CT doublet state (green). Since D3(A1) becomes the electronic ground state within its equilibrium, the bright D5 state cannot be described in this structure using a single determinate method, i.e., TDDFT.
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Figure 4. Relaxed TDDFT singly dissociative coordinate for the non-reduced (a) and reduced (b) dye. Arrows indicate a possible relaxation pathway starting from the bright D5 state via IC to the dissociative D3 state and further back to D0. Color code: ground state (black), bright excited singlet/doublet state (blue), dissociative singlet/doublet state (red), dissociative triplet state (orange), and CT doublet state (green).
Figure 4. Relaxed TDDFT singly dissociative coordinate for the non-reduced (a) and reduced (b) dye. Arrows indicate a possible relaxation pathway starting from the bright D5 state via IC to the dissociative D3 state and further back to D0. Color code: ground state (black), bright excited singlet/doublet state (blue), dissociative singlet/doublet state (red), dissociative triplet state (orange), and CT doublet state (green).
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Figure 5. (a) RASdiss (21,2,2;10,5,6) and (b) RASCT (21,2,2;8,7,6) to describe ground, bright, and dissociative or CT-excited states for both mechanisms within their C2v optimized ground state (PBE0/cc-pvdz) structure (110 and 21−1). The distribution over the subspaces RAS1, RAS2, and RAS3 is displayed, the occupation within the Hartree-Fock (HF) reference wave function is indicated by the gray dashed line.
Figure 5. (a) RASdiss (21,2,2;10,5,6) and (b) RASCT (21,2,2;8,7,6) to describe ground, bright, and dissociative or CT-excited states for both mechanisms within their C2v optimized ground state (PBE0/cc-pvdz) structure (110 and 21−1). The distribution over the subspaces RAS1, RAS2, and RAS3 is displayed, the occupation within the Hartree-Fock (HF) reference wave function is indicated by the gray dashed line.
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Scheme 2. Excited-states processes associated to photo-induced charge separation (green) and degradation (red) for, (a) the heavy atom mechanism and, (b) the reduction mechanism.
Scheme 2. Excited-states processes associated to photo-induced charge separation (green) and degradation (red) for, (a) the heavy atom mechanism and, (b) the reduction mechanism.
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Table
Table 1. Comparison of TDDFT and RASPT2 (RASDiss and RASCT) results, namely the excitation energies, oscillator strengths, and excited state characters obtained in the C2v-restricted GS structures 110 and 21−1, respectively.
Table 1. Comparison of TDDFT and RASPT2 (RASDiss and RASCT) results, namely the excitation energies, oscillator strengths, and excited state characters obtained in the C2v-restricted GS structures 110 and 21−1, respectively.
110 (Non-Reduced Singlet Structure)
TransitionTDDFTRASPT2
StateE/eVfStateE/eVfRAS
π3(a2)→π4*(b2) (IL)S1 (B1)2.880.518S1 (B1)2.710.938Diss
π2(a2)→π4*(b2) (IL)S3 (B1)3.450.311S2 (B1)3.650.094Diss
π3(a2)→σ*(a1) (Diss)S8 (A2)4.410.000S3 (A2)5.060.000Diss
π3(a2)→σ*(b1) (Diss)S11 (B2)4.550.000S5 (B2)5.420.001Diss
π3(a2)→π4*(b2) (IL)T1 (B1)1.55-T1 (B1)1.88-Diss
π2(a2)→π4*(b2) (IL)T2 (B1)2.58-T2 (B1)3.04-Diss
πph,2(b1)→π4*(b2) (CT)T6 (A2)3.90-T7 (A2)4.93-CT
π3(a2)→σ*(a1) (Diss)T7 (A2)4.02-T5 (A2)4.83-Diss
π3(a2)→σ*(b1) (Diss)T8 (B2)4.11-T6 (B2)5.09-Diss
πph,3(a2)→π4*(b2) (CT)T11 (B1)4.29-T8 (B1)5.09-CT
π3(a2)→πph,5*(b1) (CT)T12 (B2)4.39-T10 (B2)5.51-CT
π3(a2)→πph,4*(a2) (CT)T13 (A1)4.46-T11 (A1)5.52-CT
21−1 (Singly Reduced Doublet Structure)
TransitionTDDFTRASPT2
StateE/eVfStateE/eVfRAS
π4*(b2)→πph,5*(b1) (CT)D1 (B1)2.040.000D1 (B1)2.110.000CT
π4*(b2)→πph,4*(a2) (CT)D2 (A2)2.110.000D5 (A2)3.540.150CT
π4*(b2)→σ*(a1) (Diss)D3 (A1)2.120.000D1 (A1)2.580.000Diss
π4*(b2)→σ*(b1) (Diss)D4 (B1)2.260.000D3 (B1)2.830.000Diss
π3(a2)→π4*(b2) (IL)D5 (A2)2.690.194D2 (A2)2.490.183CT
π2(a2)→π4*(b2) (IL)D6 (A2)3.380.003D4 (A2)3.350.010CT
π3(a2)→σ*(a1) (Diss)Q1 (B1)3.55-Q1 (B1)4.26-Diss
π3(a2)→σ*(b1) (Diss)Q3 (A1)3.64-Q2 (A1)4.43-Diss
π3(a2)→πph,5*(b1) (CT)---Q3 (A1)4.72-CT

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Ziems, K.M.; Gräfe, S.; Kupfer, S. Photo-Induced Charge Separation vs. Degradation of a BODIPY-Based Photosensitizer Assessed by TDDFT and RASPT2. Catalysts 2018, 8, 520. https://doi.org/10.3390/catal8110520

AMA Style

Ziems KM, Gräfe S, Kupfer S. Photo-Induced Charge Separation vs. Degradation of a BODIPY-Based Photosensitizer Assessed by TDDFT and RASPT2. Catalysts. 2018; 8(11):520. https://doi.org/10.3390/catal8110520

Chicago/Turabian Style

Ziems, Karl Michael, Stefanie Gräfe, and Stephan Kupfer. 2018. "Photo-Induced Charge Separation vs. Degradation of a BODIPY-Based Photosensitizer Assessed by TDDFT and RASPT2" Catalysts 8, no. 11: 520. https://doi.org/10.3390/catal8110520

APA Style

Ziems, K. M., Gräfe, S., & Kupfer, S. (2018). Photo-Induced Charge Separation vs. Degradation of a BODIPY-Based Photosensitizer Assessed by TDDFT and RASPT2. Catalysts, 8(11), 520. https://doi.org/10.3390/catal8110520

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