Sensitization Pathways in NIR-Emitting Yb(III) Complexes Bearing 0, +1, +2, or +3 Charges

Yb(III) complexes of macrocyclic ligands based on 1,4,7,10-tetraazacyclododecane were synthesized. The ligands carried a carbostyril chromophore for Yb(III) sensitization, and carboxylate or carbamide donors for metal binding, forming complexes of 0, +1, +2, or +3 overall charge. The coordination geometry was little affected by the replacement of carboxylates with amides, as shown by paramagnetic 1H NMR spectroscopy. The Yb(III)/Yb(II) reduction potentials were dependent on the nature of the metal binding site, and the more positively charged complexes were easier to reduce. Carbostyril excitation resulted in Yb(III) luminescence in every complex. The residual carbostyril fluorescence quantum yields were smaller in complexes containing more reducible Yb(III) centers decreasing from 5.9% for uncharged complexes to 3.1–4.4% in +3 charged species, suggesting photoinduced electron transfer (PeT) from the antenna to the Yb(III). The relative Yb(III) luminescence quantum yields were identical within the experimental error, except for the +3 charged complex with fully methylated coordinating amides, which was the most intense Yb(III) emitter of the series in water. Quenching of the Yb(III) excited state by NH vibrations proved to limit Yb(III) emission. No clear improvement of the Yb(III) sensitization efficiency was shown upon faster PeT. This result can be explained by the concomitant sensitization of Yb(III) by phonon-assisted energy transfer (PAEnT) from the antenna triplet excited state, which was completely quenched in all of the Yb complexes. Depopulation of the triplet by PeT quenching of the donor singlet excited state would be compensated by the sensitizing nature of the PeT pathway, thus resulting in a constant overall sensitization efficiency across the series.


■ INTRODUCTION
The autofluorescence of biomaterials creates a high background that sensitive luminescent probes must overcome for interference-free detection. Near-infrared (NIR) emitting probes are particularly effective at solving this problem: their signals are readily distinguished from blue-green autofluorescence, and the NIR region is a transparent window for biological matter, increasing the sensitivity of the detection, while adequate ligand design can improve the selectivity of bioimaging experiments. 1−6 The majority of NIR emitters are based on organic fluorophores, nanoparticles, or transitionmetal complexes. 7−11 Trivalent lanthanides (Ln) emit immediately recognizable long-lived luminescence consisting of sharp peaks across the visible and NIR spectral regions (Figure 1a). 12,13 Ln(III) excited states are usually populated via energy transfer (EnT) from the excited state of a proximal light-harvesting antenna, which overcomes the low efficiency of direct 4f−4f excitation. Although several Lns emit in the NIR, not all are equally well suited for biological applications. 1,14,15 Sensitive, low-energy Er emission 16 is only observed when a carefully crafted protective shell keeps the solvent molecules away from the Ln(III) center. 17 Eu, Tm, Ho, Pr, and Sm have but a small proportion of their emissions in the NIR, and hence, low NIRluminescence quantum yields. 18−20 The emissions of Yb and Nd, however, are fully localized in the NIR. In addition, the gap between their emissive and receiving levels is larger than that of Er, which makes Yb and Nd less sensitive to quenching by protic solvents than Er. 16 Finally, Yb and Nd emission lifetimes are orders of magnitude longer than autofluorescence, in the range of several microseconds rather than nanoseconds.
Yb(III) in particular is fascinating for several reasons. It has a high intrinsic quantum yield compared to Nd, Tm, and Er, 14 mainly because of its only excited state 2 F 5/2 at 10 260 cm −1 . 21 The 2 F 5/2 ← 2 F 7/2 transition from the ground state poorly overlaps with the transitions from the excited states of the antennae that are typically located in the UV and in the highenergy visible part of the spectrum. 16 Nevertheless, Yb(III) emission is often observed in Yb(III) complexes carrying such antennae. 22−26 One possible mechanism populating the 2 F 5/2 level is a stepwise photoinduced electron transfer (PeT)−back electron transfer (BeT) process (Figure 1b,c). 22 Despite the widespread acceptance of this sensitization route, efforts to experimentally study it have been limited. Beeby, Faulkner, and Ward showed that the sensitization mechanism in a phenanthridineappended Yb(III) complex was pH-dependent. 24 When protonated, the antenna became less reducing, making electron transfer (eT) from its first singlet excited state (S 1 ) to Yb(III) thermodynamically unfavorable. This enabled an inefficient EnT from the first triplet excited state (T 1 ) of the antenna to dominate sensitization via dissipation of the excess energy to the surroundings. This process, sometimes referred to as phonon-assisted energy transfer (PAEnT, Figure 1c), was first proposed by Crosby and Kasha 27 to explain Yb(III)  sensitization with UV-absorbing chromophores. The competition between these two pathways was also proposed to be responsible for 1 O 2 generation by a pyrene-sensitized Yb(III) chelate. 28 An understanding of how to tune, boost, or deactivate one or several sensitization pathways, and how the modification of one sensitization pathway may affect the others as well as Yb(III) luminescence are crucial for designing bright emitters and responsive biological probes. Such probes often rely on the turning on or off of luminescence (or sensitization) by physicochemical interactions with biological materials. 3,29−36 However, there are currently no systematic studies on the structural requirements that allow PeT or PAEnT to operate.
Yb(III) sensitization via PeT depends on the oxidation and reduction potentials of the antenna and the metal center, respectively. We hypothesized that modulating the coordination environment of the complex while keeping the antenna constant would change the Yb(III)/Yb(II) redox potential and provide control over the electron transfer without altering the electronic and photophysical properties of the antenna ( Figure  1b,c). PeT from an excited carbostyril to Eu(III) could be controlled by tuning the Eu(III)/Eu(II) redox potential via the ligand. 37,38 Here, we investigated how the redox properties of Yb(III) impact the photophysical properties of the emitter. We report the synthesis and characterization of a series of gradually more reducible Yb(III) complexes (Chart 1) with 0, +1, +2, and +3 overall charge. Increasing amounts of coordinating amide donors were introduced in a series of 1,4,7,10-tetraazacyclododecane (cyclen)-based ligands by replacing one, two, or three carboxylate groups. The redox properties of two types of model compounds were also studied: Yb complexes without antenna (YbL m ) and the acetylated 4-methoxymethyl (MOM)-substituted carbostyril (1). These models enabled the investigation of metal and antenna fragments separately without interference from other functional units.
Three versions of the +3 charged triamide complex were prepared to allow the assessment of secondary effects caused by the increasing number of N−H oscillators. 40 Three different carbostyril antennae bearing methyl (Me), CF 3 , or MOM auxochromes in the 4 position of the carbostyril were also tested on neutral tricarboxylate ligands to evaluate the effect that the sensitizer might have on the Yb(III) photophysical properties.
The structures of the complexes were studied by paramagnetic 1 H NMR spectroscopy and X-ray crystallography to confirm that the increasing overall charge did not induce major structural changes. The Yb(III)/Yb(II) reduction potentials of the corresponding complexes were measured by cyclic voltammetry to quantify the change in metal center reducibility upon charge variation. The photophysical properties were determined using absorption and luminescence spectroscopy in the UV−vis and NIR. The effects of all of the structural variations on the antenna and Yb(III) emission were analyzed in light of the hypothetical PeT mechanism that is believed to be involved in the deactivation of the antenna and the Ln(III) sensitization. While PeT is often invoked as the major or even only sensitization pathway in Yb(III) emitters, in this set of complexes, we found that PeT contributed little to Yb(III) luminescence sensitization, even when the process was thermodynamically feasible. Furthermore, a larger PeT rate constant improved the Yb(III) luminescence quantum yield only marginally.

■ RESULTS AND DISCUSSION
Solution and Solid-State Structures. Ligands were synthesized following literature procedures, and the Yb(III) and Lu(III) complexes were prepared as previously described for Gd(III), Eu(III), and Tb(III). 37,39 To ascertain that the modification of the coordination site and resulting charge do not significantly change the structure of the complexes in solution and in solid state, the Yb(III) compounds were analyzed by paramagnetic 1 H NMR spectroscopy and X-ray crystallography, respectively.
The 1 H NMR spectra of Yb(III) complexes often enable the observation of individual well-resolved signals for each magnetically unique proton. 41 We assigned the most deshielded chemical shifts in the 1 Figure S17). Nevertheless, the contribution of the TSAP isomer is minor in all YbL0 complexes and is missing in the positively charged antennaappended Yb(III) compounds. The 1 H spectrum of YbL1 m contained half as many signals as the other complexes due to the higher symmetry of this molecule ( Figure S18).
Based on 1 H NMR spectroscopy, all charged Yb(III) compounds with antennae were present as single species in solution, and neutral YbL0 complexes had the same structure of their predominant isomers as the single conformers of amide analogues. Hence, the examined electrochemical and photophysical properties of Yb(III) complexes (vide infra) were accounted for from either only SAP isomers (charged species) or the weighted average of SAP (major) and TSAP (minor) conformers (neutral molecules).
Crystals suitable for X-ray diffraction analysis were obtained by vapor diffusion of dioxane into a concentrated aqueous solution of YbL0 CF3 . In the solid state, the square-antiprismatic Yb(III) center in YbL0 CF3 is not capped (Figure 3), unlike the Ln(III) in previously reported complexes (Ln = Eu, Gd, Tb) employing similar carbostyril-substituted cyclen ligands. 37 The eight-coordinate Yb center sits between two planes formed by four cyclen N-atoms (4N PL ) and three tethered carboxylate and one amide O-atoms (4O PL  (Table S2).
The complex is racemic in the solid state, with both Δ and Λ isomers present in the unit cell ( Figure S42). 51 These isomers correspond to the TSAP geometry due to identical signs of NCCN and NCCO torsional angles (±56.8°and ±14.2°, respectively) in two separate molecules. 52 The pair of positive torsional angles makes up a Λ(λλλλ) structure, while the pair of negative ones yields Δ(δδδδ). It is a rare example of a crystallographically characterized Yb(III) complex with only TSAP isomers, as normally the SAP conformation is predominant in the solid state. 53 This could be connected with the asymmetrical ligand structure or co-crystallization of dioxane molecules. However, the solution data suggest that once dissolved, all of the YbL complexes adopt the same square antiprism geometry. Therefore, we can confirm that changes in photophysical properties cannot be due to variations in CN, geometry, or conformation.
Electrochemistry. The redox properties of the Yb(III) complexes and model compounds were determined by cyclic voltammetry. Redox events were assigned with the help of models for the chelated Yb(III) centers (YbL m , Chart 1) and the amide-linked MOM antenna (1). Analyses were performed at 0.1 V/s scan rate in DMF containing 0.1 M (n-Bu) 4 NClO 4 as the electrolyte. DMF has a more suitable solvent window than water to study Yb(III) reduction ( Figure S44). Voltammograms were recorded by scanning first toward more negative potential values (reduction). A glassy carbon electrode and Ag/Ag + reference electrode (0.01 M AgNO 3 in acetonitrile) were used, and a ferrocene internal reference was added at the end of the experiment. The anodic and cathodic peak potentials (E pa , E pc ), apparent reduction potential (E 1/2 ), and peak potential separation (ΔE p ) values vs F c /F c + and vs NHE are reported in Table S3. Unless mentioned otherwise, all E values are reported vs F c /F c + . The cyclic voltammograms of Yb(OTf) 3 and YbL0−3a m display a single wave that can be attributed to the Yb(III)/  4 NClO 4 as the electrolyte) could not be accomplished, as it takes place at a potential outside the solvent window (>0.5 V vs F c /F c + ). In acetonitrile 1 could be oxidized at E pa = 1.76 V vs NHE. 39 The cyclic voltammograms of YbL MOM display similar trends as YbL m with some small differences. Analogously to the observations made for YbL0−3a m , an increasing overall positive charge of the complexes yields more positive E pc values ( Figure S45). YbL0 MOM and YbL1 MOM display a large reduction wave with no return oxidation wave, and the height of the wave is approximately twice the one observed for the other complexes ( Figure S45) suggesting an irreversible 2 e −reduction. The cyclic voltammograms of YbL2 MOM and YbL3a−c MOM display a single reduction wave with a corresponding return oxidation wave. This redox event was assigned to the one-electron Yb(III) reduction−oxidation (Table S3). YbL3a−c MOM were further studied at different scan rates. E pa and E pc were independent of scan rate, and ΔE p was close to 60 mV, indicating that these systems are electrochemically reversible (Figures S58−S63, Tables S10− S12). Amide methylation leads to a slightly more negative apparent reduction potential for , similarly to what was seen in the Eu complexes of the same ligands. 37 The solvent effect was estimated from the behavior of the Eu(III)/Eu(II) couple, which has been studied extensively. In water/DMF mixtures, increasing the proportion of DMF shifts E 1/2 (Eu(III)/Eu(II)) to more negative potentials by ∼146 mV. 55 In another study, in the more electron-donating DMF 56 the formal potential of Eu(III/II) was ∼332 mV more negative than in water, and that of Yb(III/II) was similarly affected. 57 Complexation by cryptates diminished the influence of the solvent 2-to 3-fold. Thus, it is reasonable to assume that E 1/2 (Yb(III)/Yb(II)) of YbL in water is less negative than the values obtained in DMF, making Yb(III) more reducible. Complexation by L0−L3 is expected to diminish the influence of the solvent. The solvent effect may also impact the antenna. The electron-donating ability of the solvent is expected to (de)stabilize the (reduced) oxidized antenna. 58 This is what we observed, as the reduction of 1 in acetonitrile happens at E pc ≈ −1.88 V vs NHE, 39 which is less negative than the value measured in DMF (E pc = −2.22 V vs NHE, Table S3). Hence, we can assume that the oxidation potential of 1 in water may be more negative than the one obtained in acetonitrile (1.76 V vs NHE 39 ).
YbL3a−c MOM are electrochemically reversible systems, as shown by the scan rate-independent E p . Electron transfer is fast, Ln redox state change does not cause either substantial reorganization or demetallation. In addition, these ligands can accommodate, and have a good affinity for both Yb(II) and Yb(III). The trend in the redox potentials confirms our original hypothesis that increasing the overall positive charge on the complexed Yb(III) would make it more willing to accept an electron. Increasing the overall positive charge has a more pronounced effect on Yb(III) than on Eu(III), shifting E 1/2 by 181 vs 95 mV per charge on average, respectively. 37 The reason for the larger shift may be the smaller size and harder Lewis acidity of Yb(III), which results in larger stabilization differences of the Ln(II) and Ln(III) complexes with soft amide donors than in the case of the larger, softer Lewis acid Eu(III). An alternative explanation could be the change of geometry or CN from 8 in YbL to 9 in EuL. 37 Photophysical Properties. The photophysical properties of the complexes were measured in 10 mM PIPES-buffered aqueous solutions at pH = 6.5. These conditions were chosen to avoid the deprotonation of the CF 3 -substituted antenna. 23 The characterization was done at room temperature by UV− vis absorption spectrophotometry and luminescence spectroscopy in the UV−vis and NIR ranges, where the antenna and Yb(III) emit, respectively ( Figures S65−S80). UV−vis absorption was carried out first to set the solutions at the same absorbance. This ensured that all of the complexes absorbed the same amount of light at the excitation wavelength used for luminescence spectroscopy. Steady-state emission and excitation spectra were obtained both for the fluorescence of the antenna and the luminescence of the Yb(III) center ( Figure 5). Low-temperature emission spectra were recorded with frozen solutions at 77 K to locate the antenna T 1 . The quantum yields of the residual antenna fluorescence were calculated from the emission spectra relative to the emission of a solution of quinine sulfate (Tables 1 and S13−S15). Only relative quantum yields could be calculated for the Yb emissions because no reference compound with a NIR emission and an excitation range in the same domain as our complexes could be found. The lifetimes of the antenna were measured in the nanosecond domain under picosecond pulsed UV excitation (Tables 2 and S18−S21). Yb(III) emission lifetimes were too short to be measured with the NIR detector and the nanosecond instrument was not sensitive enough in the NIR to measure Yb luminescence.
Ligand-Centered Photophysics. Φ L and φ L are the absolute and relative antenna fluorescence quantum yields, respectively. The photophysical properties of the antenna in the Yb(III) complexes were compared to those of their Gd(III) and Lu(III) analogues. Gd(III) has only high-energy excited states (32 200 cm −1 ), 21 and is the most difficult to reduce Ln(III) ions (E 1/2 = −3.9 V). 59 Lu(III) similarly lacks both photo-and redox activities. 59 Figure S81). This absorption band corresponds to the S 1 ← S 0 π−π* transition of the carbostyril chromophore. The local absorption maximum in this band is at λ max = 330−331 nm between two shoulders located at 318− 319 and 343−344 nm. The same transitions were observed for the analogous LuL0−3 MOM ( Figure S82) and other previously studied LnL MOM , 37 indicating that the nature of the Ln(III), the coordination site, and the overall charge have little to no effect on the antenna absorption.
When excited in the antenna absorption band, the Yb(III) complexes showed Yb(III) luminescence of different intensities (vide infra), along with residual antenna fluorescence ( Figures  5 and S84−S91). As seen by inspecting the complexes with the CF 3 -, Me-, and MOM-substituted antenna, electron-withdrawing auxochromes (CF 3 ) on the carbostyril red-shift the absorption and fluorescence spectra (Figures S83 and S86). The emission spectra of ligands carrying the same antenna but different Ln(III) centers or different coordination sites have the same shape ( Figures S85, S87, and S88). 23 When cooled to 77 K, the frozen solutions show, as expected, emission and excitation spectra with sharper bands and a more visible vibronic structure. The emission of the GdL0−3 MOM and LuL0−3 MOM complexes displayed fluorescence between 340 and 430 nm (S 1 → S 0 transition), as well as an extra band between 450 and 700 nm that is attributed to phosphorescence from the triplet state (T 1 → S 0 transition). This phosphorescent band is absent from the YbL0−3 MOM spectra, which suggests either that the triplet is not formed in these complexes, or that it is quickly quenched ( Figure S92). Since the only difference between the complexes is the identity of the Ln(III), this means that Yb(III) rapidly quenches the T 1 state. The same effect was observed with the other antennae, LnL0 CF3 and LnL0 Me , which show red-and blue-shifted fluorescence and phosphorescence, respectively, in the Gd complexes upon addition of electron-withdrawing and -donating auxochromes, but no phosphorescence within the corresponding Yb complexes ( Figure S93).
The fluorescence quantum yields of the antenna (Φ L ) in the YbL MOM complexes, measured at room temperature, gradually dropped from 5.9(5)% for the charge-neutral YbL0 MOM to 3.1(3)% for the +3 charged YbL3a MOM (Table 1), a decrease of 47%. In LuL0−3a MOM , GdL0−3a MOM , and TbL0−3a MOM , 37 Φ L decreased only by ∼3% with each extra positive charge, which is 7-fold smaller than what was seen for YbL0−3a MOM . The replacement of primary amide donors with secondary and tertiary ones increases Φ L for YbL3a−c MOM from 3.1(3) to 4.4(4)%. The measurement of the Yb,LuL MOM quantum yields in PIPES-buffered D 2 O (pD = 6.9) 61 did not show any significant variation of Φ L that remained within 10% experimental error to the values measured in aqueous buffer solution (Table S14) (Tables 2 and S18−S21). Using τ f,L and Φ L , the radiative rate constants of fluorescence (k rad,L = 1/τ rad,L ) were calculated according to (eq 1). The rate of nonradiative antenna decay (k nr,L ) was then estimated as the difference between the measured rate constant of fluorescence decay (k f,L = 1/τ f,L ) and the calculated k rad,L .  (Table S15). These results are consistent with a faster nonradiative deactivation of the antenna S 1 in the Yb(III) complexes that increases when increasing the overall charge of the complex. The only major difference between the Yb(III) and Lu(III) complexes is the accessibility of the Yb(III) center to PeT or EnT. We may assume that (1) direct EnT from S 1 to Yb(III) is unlikely due to the negligible spectral overlap between the S 1 → S 0 transition of the antenna and the 2 F 5/2 ← 2 F 7/2 transition of Yb(III), and (2) all other nonradiative deactivations are similar in the Yb(III) complexes and their Lu(III) analogues. The latter is supported by the similar lifetimes in D 2 O and by the 77 K spectra that show similar S 1 /T 1 peak ratios upon variation of the coordination site (Table S16), which is consistent with comparable intersystem crossing (ISC). Therefore, the observed difference in nonradiative deactivation rate constant ought to come from PeT. The difference between  k nr,L (Yb) and k nr,L (Lu) should thus give a good estimate of the rate constant of PeT (k PeT in Table 2).
In charge-neutral YbL0 MOM , k PeT is over 3.5 times smaller than that of k nr,L and k f,L . The largest PeT rate constant was seen in the +3 charged species YbL3b MOM , in which PeT represents 50% of the overall relaxation rate constant. The significant drop in k PeT in dimethylated YbL3c MOM compared to the monomethylated YbL3b MOM can be explained by the more negative E 1/2 of YbL3c MOM (−1.95 V) than of YbL3b MOM (−1.91 V).
To understand the effect of solvent on LnL photophysical properties, a limited study was carried out in DMF (Table S17, Figures S94−S100), the solvent used for cyclic voltammetry experiments. In DMF, the UV−vis absorption spectra were sensitive to the overall charge of the complex. Complexes had red-shifted shoulders in their absorption bands and smaller Φ L compared to that in water. The YbL and GdL absorption spectra were nonsuperimposable despite carrying the same antenna. The coordination site dependence of the absorptions indicates that in DMF, the antenna photophysics are substantially affected by the metal binding site, which would complicate the analysis of the Yb(III) sensitization. Therefore, and as aqueous solutions are more relevant for biological applications, subsequent studies were done in water.
Metal-Based Photophysics. Φ Yb L and φ Ln are absolute and relative Yb(III) luminescence quantum yields, respectively. Next, the Yb(III)-centered emission was studied. Upon excitation of the antenna at 323 nm, Yb(III) emission consisting of three peaks centered at 980, 996, and 1024 nm ( Figure 5) was observed for every complex. These peaks all belong to the 2 F 5/2 → 2 F 7/2 transition of Yb(III). The shapes of the emission spectra were compared by normalizing them relative to the integral intensity of the emission bands.
The Yb(III) emission shape is antenna-independent, which suggests that the coordination environments of the various complexes are similar ( Figure S90). Increasing the number of amides blue-shifts and intensifies the two low-energy transitions, whereas the highest-energy transition remains at the same energy but seems only to change in intensity ( Figure  S89).
The Yb(III) excitation spectra resemble the absorption spectra for the S 1 ← S 0 transition, proving that Yb(III) is sensitized by the excited antenna ( Figure 5).
Relative Yb(III) luminescence quantum yields (φ Ln ) 63  YbL3c MOM is the strongest emitter in the series ( Table 3). The MOM-substituted antenna yields larger φ Ln than the Mesubstituted one, which in turn yields a larger φ Ln than the CF 3substituted antenna. YbL1−3b MOM on the other hand are all within 83 ± 2% of the quantum yield of YbL3c MOM in buffered solution at r.t. The superior φ Ln of YbL3c MOM relative to the other complexes is significant, as it is 6 standard deviations larger than YbL0 MOM , which is the second most luminescent complex in this series. YbL3c MOM has improved φ Ln compared to YbL0 MOM . Notably, YbL3c MOM was 1.14 times more emissive in H 2 O than the tricarboxylate analogue YbL0 MOM despite the fact that the number of X−H oscillators is identical for the two complexes. In YbL3b MOM , even 1 NH per amide induces enough quenching so that φ Ln is not significantly improved compared to the NH 2 analogues. The improvement of φ Ln upon NH oscillator removal (YbL3c MOM ) is expected as only three NH vibrations (3000−3500 cm −1 ) are required to quench the Yb excited state (Figure 1c). In D 2 O solution, +3 charged YbL3a MOM was 1.12 times more luminescent than chargeneutral YbL0 MOM . Thus, in the absence of N−H quenching, the more reducible Yb(III) center was more emissive; however, this difference was not observable in H 2 O. Intriguingly, the uncertainty on the relative φ Ln is larger in D 2 O than in H 2 O because the emission of YbL3a MOM turned out to vary much more than YbL0 MOM in deuterated solution.
Photoinduced Electron Transfer vs Phonon-Assisted Energy Transfer. Φ Yb Yb and Φ sens are Yb(III) intrinsic and sensitization quantum yields, respectively. In many sensitized Ln(III) emitters, the antenna T 1 is considered the major feeding level. 12,69 T 1 in Me-, MOM-, and CF 3 -substituted carbostyrils are at 22 900, 22 500, and 21 800 cm −1 , respectively. 23 The spectral overlap between the antenna phosphorescence and the only Yb(III) excited spectroscopic level (10 260 cm −1 ) is negligible. 21 Thus, EnT from S 1 or T 1 to Yb(III) is not happening directly by resonance EnT. In the following section, we discuss the contributions of the two potential sensitization mechanisms: PeT 22,24 and PAEnT. 27,70 The driving force for PeT from the excited carbostyril to the Yb(III) was calculated (eq S6 in the SI), 24,71 and the values are listed in Tables 4 and S24.
Sensitization via T 1 by PeT is endergonic (ΔG PeT > +50 kJ/ mol). PeT from S 1 was found to be thermodynamically favored in most complexes, the most negative ΔG(eT) was calculated  Journal of the American Chemical Society pubs.acs.org/JACS Article for the +3 charged ones. However, for YbL0 MOM , PeT was clearly thermodynamically uphill (0.50 eV), while in YbL1 MOM , ΔG(eT) was close to 0. Solvent effects on the Yb(III)/Yb(II) reduction potentials (obtained in DMF, vide supra) and the antenna oxidation potential (obtained in acetonitrile) mean that the complexes may be easier to reduce and the antenna easier to oxidize in water. However, unless the combined effect on the antenna and Yb(III) redox behavior is larger than +370 or −500 mV, at least one of the complexes in the series will have ΔG > 0 eV and one ΔG < 0 eV ( Figure S128). The estimated PeT rate constants were at least twice as large for YbL2−3c MOM as for YbL0,1 MOM ( Table 2), suggesting that in YbL0−1 MOM , PeT is slow and is not the major sensitizing pathway.
The intermediacy of T 1 in YbL is supported by the photostability data (Figures S126−S133). Under air, YbL are highly photostable and retain 95−96% of their antenna fluorescence after irradiation for 2 h, while under inert atmosphere (Ar or N 2 ), up to 25% of the antenna fluorescence is lost. For GdL, the trends are similar, although the loss of antenna fluorescence is larger (95% under Ar). Decay is slower in D 2 O than in H 2 O (15 vs 22%, respectively, for YbL3c MOM ), and in unbuffered solutions, the pH increases upon irradiation. These observations are consistent with the formation of T 1 in both GdL and YbL and subsequent T 1 oxidation by H + , which is thermodynamically feasible (eq S7). O 2 rapidly quenches T 1 , which returns the ground-state antenna. In the absence of O 2 , T 1 is long-lived and can degrade photochemically by reducing H + (Figures S131, S133, S135, and S137). The slower antenna degradation in YbL than in GdL is consistent with excited state Yb(III) formation depleting T 1 .
The absolute quantum yield of Yb luminescence (Φ Yb L , eq 4) is a combination of the sensitization quantum yield (Φ sens ) and intrinsic quantum yield of Yb emission (Φ Yb Yb ).
The quenching of the Yb(III) excited state by NH vibrations is affecting Φ Yb Yb by increasing the nonradiative relaxation rate constant (k nr,Yb ) of the 2 F 5/2 spectroscopic level of Yb(III). Φ sens is dependent on the rate constant of sensitization (k sens ) from the donor level (D) relative to the other deactivations of the level, and the rate constant of formation of this level (k D ) from the antenna S 1 excited state. No significant differences in φ Ln due to PeT are seen for these complexes in H 2 O due to N−H oscillators; in D 2 O, PeT made YbL3a MOM 1.12 times as emissive as YbL0 MOM (Table 3, Figure S91). If PeT is not sensitizing, but only deactivates S 1 , any sensitizing lowerenergy level (D) would also be depopulated by PeT, decreasing Φ Yb L . If PeT is sensitizing but another major process depending on a level less energetic than S 1 dominates sensitization, increasing depopulation of the major sensitizing level by PeT would be compensated for by PeT sensitization. Therefore, the Yb(III) emission quantum yield would be left unaffected by PeT. This is consistent with mixed PeT + PAEnT sensitization limited mainly by Φ Yb Yb . PAEnT is certainly involved in Yb sensitization as Yb(III) emission is observed in complexes where PeT is not thermodynamically favorable (YbL0 MOM and YbL1 MOM ). The improvement of Yb emission suggests that PeT, despite being a minor sensitization pathway, might be more efficient than PAEnT. This makes sense because PeT is more direct than PAEnT, as the latter must go through ISC and then depends on the T 1 decay rate constant.

■ CONCLUSIONS
A series of Yb(III) complexes carrying carbostyril antennae and with structurally similar but electronically varied coordination environments were synthesized. The complex structures were found to be analogous in solution by paramagnetic 1 H NMR spectroscopy, a finding also supported by the binding site-independent shapes of the antenna absorption as well as the shapes of the antenna fluorescence spectra; Yb(III) luminescence spectra varied only slightly. The overall more positively charged complexes contained more reducible Yb(III) centers, shifting E red = −2.42 (V vs NHE) for uncharged YbL0 MOM to E red = −1.55 (V vs NHE) for +3 charged YbL3a MOM , as determined by cyclic voltammetry. A single carboxylate-to-carboxamide substitution shifted the Yb(III)/Yb(II) reduction potential on average by 181 mV.
Fluorescence spectroscopy showed that YbL have smaller Φ L than their LuL analogues, which supports that PeT is taking place in YbL. More positively charged species had increasing nonradiative deactivation of S 1 , consistent with a larger rate of PeT correlated to a less negative reduction potential of Yb(III).
Yb(III) luminescence was observed in all cases, even when the PeT process was not thermodynamically favored. Yb(III) emission quantum yields were particularly sensitive to the introduction of NH groups, as demonstrated by measurements in D 2 O. As such, the most efficient Yb(III) emitter of the series was the fully methylated amide complex, which benefits from the removal of NH quenching.
The analysis of a series of emitters can reveal trends that would be hidden when only a single emitter is studied. Here, sensitization pathways were studied for a systematically varied series of Yb complexes to help identify competing sensitization pathways and understand the structural features that promote them. The contribution of PeT to Yb(III) luminescence sensitization was small, while the alternative PAEnT sensitization pathway was calculated to dominate T 1 nonradiative relaxation. The MOM-derivatized carbostyril antenna was better at sensitizing Yb(III) than the Me and CF 3 analogues. PeT tuning by variation of the coordination site and overall charge is only marginally affecting the emission quantum yield of Yb(III). No drastic improvement of the Yb(III) luminescence quantum yield was observed when increasing the PeT rate constant, partly because it is probably not the only sensitizing process, and mainly because vibrational quenching is a more important parameter to control to give an opportunity for Yb to emit. Therefore, a direct correlation between an increase in PeT and an improved Yb(III) luminescence can only be expected when alternative sensitization pathways are insignificant. In these complexes, PeT was certainly observed to be E red -dependent, but its impact on the emission of Yb(III) is still unclear. A detailed study of the rise time and decay of the Yb(III) emission would be required to investigate the involvement of the T 1 state.
Syntheses and characterization data of new compounds; crystallographic analysis of YbL0 CF3 ; 1 H, 13 C, and 19 F NMR spectra; cyclic voltammetry of YbL; and photophysical characterization of LnL (PDF)

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