Improved emission of Yb( III ) ions in triazacyclononane-based macrocyclic ligands compared to cyclen-based ones †

Yb( III ) complexes based on ligands with a 1,4,7-triazacyclononane (tacn) macrocyclic core were synthesised. The complexes carry a 4-methoxymethyl-substituted carbostyril chromophore that serves as a light-harvesting antenna. The ligands supply 5 nitrogen and 3 oxygen donors via 1 methylenecarboxamide and 2 picolinate donors, creating +1 charged complexes with an octadentate binding environment. The electronic properties of the picolinates are modulated by varying the substitution at the 4 position with OMe, H, Cl, or CF 3 . Cyclic voltammetry indicated that the tacn-based Yb( III ) complexes were easier to reduce than the analogous cyclen complexes. The ﬁ rst reductive event is likely picolinate-centred, followed by the formation of further reduced species. Antenna excitation yielded Yb( III ) luminescence in the near-infrared (NIR) region in all cases. The antenna photophysical properties were consistent with intrali-gand photoinduced electron transfer from the excited carbostyril to the picolinate groups. The relative quantum yields of Yb( III ) luminescence were determined. The lowest value was obtained for the complex with the most e ﬃ cient antenna-to-picolinate photoinduced electron transfer. Despite intraligand electron transfer quenching of the antenna, the tacn-based Yb complexes were more emissive than their cyclen analogues, highlighting the in ﬂ uence of the ligand structure on the luminescence properties of NIR emis-sive lanthanide( III ) ions.


Introduction
Compounds emitting in the near infrared (NIR) are of great interest for a wide variety of applications from telecommunications 1 to thermometry 2 and bioimaging. 3,4NIR emitting organic fluorophores and transition metal-based phosphors have several attractive properties.These include their tuneable excitation and emission wavelengths, [5][6][7][8] and that they can be rendered aqueous, 9 or fluorous soluble, 10,11 environment sensitive or analyte responsive, 4 and can incorporate reactive groups for labelling. 12A common drawback, however, is their oxygen sensitivity, which results in decreased brightness, rapid fluorophore degradation, and the generation of cytotoxic reactive oxygen species. 13everal trivalent lanthanides (Ln) emit in the NIR. 14Of these, Nd and Yb have emissions that are sufficiently robust for applications in aqueous media.Numerous Yb and Ndbased coordination compounds, [15][16][17][18][19][20][21][22][23][24] including some with inner-sphere solvent molecules, 25 have useful luminescence outputs in water.Ln(III) luminescence originates from 4f-4f transitions, 26,27 and direct Ln excitation is inefficient due to their low absorption coefficients.Ln(III) sensitisation is possible via a light-harvesting antenna. 26In the case of Nd and Yb, visible-absorbing antennae can be used, [28][29][30][31] which is advantageous for minimising tissue damage in cellular applications.Even 2-photon excitation of antennae with only UV or blue absorption has been demonstrated using red light. 18,19,32,33n(III) luminescence spectra consist of one or more sharp peaks with well-defined positions that are minimally influenced by the coordination environment.Ln excited states are long-lived.Eu and Tb emit with ms lifetimes, but even the shorter lifetimes (hundreds of ns) of Yb and Nd emission are longer than what is typical for cellular autofluorescence.Therefore, timeresolved detection of Ln signals is typically straightforward and is used in e.g.confocal microscopy. 34Crucially, unlike organic-based fluorophores and transition metal-based phosphors, Ln emitters are usually not sensitive to oxygen quenching. 35The brightness of Ln luminescence depends on the absorption coefficient of the antenna at the excitation wavelength, the Ln(III) sensitisation, and the efficiency of radiative decay of the Ln excited state compared to the other deactivation. 27Modulation of these parameters enables the creation of analyte-sensitive probes. 16,33,36,37he Ln(III) sensitization mechanism depends on the Ln, the antenna, and their relative arrangement (Fig. 1).Resonance energy transfer is possible to Ln(III) receiving states that are not more than ∼5000 cm −1 lower in energy than the antenna (S 1 ) or triplet (T 1 ) excited states.For Yb(III) with its excited state at ∼10 000 cm −1 , this means an antenna with S 1 or T 1 ∼15 000 cm −1 . 27A second mechanism, originally proposed by Horrocks, begins with photoinduced electron transfer (PeT) from the excited antenna to Yb(III); back electron transfer (BeT) yields the ground state antenna and the excited state Yb(III). 38 third mechanism was proposed by Crosby and Kasha in some cases when there is a large energy gap between a UVabsorbing antenna and the Yb(III) excited state: 39 the dissipation of the excess energy to the solvent or the lattice vibrational modes. 40Such phonon-assisted energy transfer (PAEnT) could explain the observation of sensitised Yb emission in complexes wherein the first electron transfer of the Horrocks pathway is not thermodynamically favoured (Fig. 1). 41he efficiency of sensitised Ln(III) emission quantum yield (Φ Ln ) is dependent on the combined efficiencies of two consecutive stages.The first is the population of the Ln(III) excited state (Ln(III)*) via either the antenna's first singlet (S 1 ) or first triplet (T 1 ) excited states (η sens in eqn (1)).The second stage is the emission of photons from the excited Ln ion.3][44] The vibrational overtones of C-H, N-H and O-H do not influence the energy transfer from the ligand to emitting level of lanthanide.The efficiency of photon emission by excited Ln ions is defined by the intrinsic quantum yield (Φ Ln Ln ), which is characteristic of the ion in a particular environment.All else being equal, shorter radiative lifetimes (τ rad ) yield higher Φ Ln Ln , and lead to higher Φ Ln .The τ rad of an Ln ion is determined by the refractive index of the medium and by the dipole moments of the transitions, which are affected by the coordination geometry.Lns have high coordination numbers (CN), and Ln-ligand interactions are mostly Coulombic.Therefore, the Ln coordination environment is governed by steric factors, and is a function of the ligand and of the solvent.6][47] The calculation of τ rad for Eu(III) is possible from the corrected luminescence spectrum, 48 however, this straightforward method is not available for the other Lns. 27,49 Octadentate ligands based on two different macrocycles [cyclen (1,4,7,10-tetraazacyclododecane), and tacn (1,4,7-triazacyclononane)] and completed with methylenecarboxylate or picolinate donors and 1 inner-sphere water molecule yield Eu(III) emitters with τ rad ∼5.40 and ∼2.90 ms, respectively. 46,47The beneficial effect of the shorter τ rad on Φ Ln in the tacn complexes was masked by two quenching processes: PeT from the excited antenna (Ant*) to the reducible Eu(III), and intraligand electron transfer from Ant* to the picolinates. 46For Yb(III), antenna-to-Ln(III) PeT and the subsequent back electron transfer (BeT) can yield Yb(III)*, so unlike in the case of most Eu complexes, 50 PeT can be sensitising (Fig. 1). 38n this study, we have prepared the Yb(III) complexes of 4 carbostyril-appended tacn-based octadentate ligands bearing 2 picolinate coordinating moieties (YbL X , Fig. 2a).We characterised them by 1 H NMR spectroscopy and X-ray crystallography, measured their redox properties by cyclic voltammetry and evaluated their luminescence efficiencies relative to each other as well as to cyclen-based complexes carrying the same antenna (YbLc, Fig. 2b).We constructed model compounds (Py X in Fig. 2a) that enabled the study of the redox properties of the picolinate units in isolation.Based on these data, the possible contributions of the Horrocks sensitisation route (i.e. the combined PeT and BeT processes in Fig. 1), of the quenching intraligand PeT, and sensitisation by phonon-assisted energy transfer (PAEnT) 39 were assessed.

Dalton Transactions Paper
This journal is © The Royal Society of Chemistry 2022

Results and discussion
Solution and solid-state structures Previously reported ligands L X (X = OMe, H, Cl, CF 3 ) 46 were reacted with YbCl 3 in H 2 O : EtOH 1 : 1 mixture for 16 h at 45 °C to yield YbL X .The products were purified by column chromatography on neutral alumina. 46,51Potassium pyridine-2-carboxylate model compounds Py X were synthesised from known 4-substituted methyl 6-(bromomethyl)picolinates in two steps in excellent yield (Schemes S1 and S2 †).Py X were fully characterised by 1 H, 13 C, and 19 F NMR spectroscopies and highresolution mass spectrometry (HR-MS), while the complexes were characterised using HPLC-MS, HR-MS, paramagnetic 1 H NMR spectroscopy, and UV-Vis absorption and emission spectroscopies, as well as single crystal X-ray crystallography in the case of YbL H and YbL CF3 .Analytical data confirmed the formulae and general structures of Py X and YbL X .
Paramagnetic 1 H NMR spectroscopy of Yb(III) coordination compounds can be very informative, and several tacn-based Yb(III) chelates have recently been analysed. 52The 1 H NMR spectra of YbL X consisted of 31-37 individual signals, which is consistent with the presence of both enantiomers (vide infra) of a single diastereomer for all four complexes, for which 34-36 individual signals are expected, or with several species rapidly interconverting on the NMR timescale (Fig. S5-S9 †).Our attempts to fully assign the spectra were unsuccessful.Based on literature precedent, the broadened peaks >30 ppm are ascribed to protons on methylene spacers between tacn and picolinate groups, while the sharp signals at <−25 ppm are assigned to axial CH 2 protons of the 9-membered ring. 53hese signals are common to all four complexes.The pyridine para-substituents are far removed from the Yb(III), and their electronic effects are not expected to have a dramatic influence on picolinate coordination to the metal. 46Parker has demonstrated the high sensitivity of the 1 H NMR shifts to solvation and the ligand field in tacn-based tris-picolinate Yb(III) complexes. 54Thus, the ∼10 ppm differences in the most and least deshielded signals in YbL H and YbL CF3 are unsurprising and consistent with the metals occupying similar coordination geometries.The presence of at least two species in solution is also confirmed by two resonances in 19 F NMR spectrum of YbL CF3 both attributable to CF 3 -groups from different complex isomers (Fig. S10 †).
FT-IR spectra were recorded on solid samples (Fig. S11-S14 †) and displayed a broad absorption band between 3600-2800 cm −1 corresponding to O-H stretching vibration bands, with some sharp features that can be attributed to N-H and C-H stretching vibration bands.Strong absorption bands due to stretches of CvO bonds, likely of the carboxylate groups, were also observed at 1637, 1610, 1654, 1651 cm −1 for YbL H , YbL OMe , YbL Cl , and YbL CF3 , respectively.
Single crystals suitable for X-ray diffraction analysis were obtained by vapor diffusion of glyme and dioxane into concentrated aqueous solutions of YbL CF3 -F, and YbL H , respectively.Crystals of YbL CF3 -F were grown in the presence of 1 equiv. of potassium fluoride.Compounds YbL H (Fig. 3) and YbL CF3 -F (Fig. S15 †) possess a central Yb atom with a nine-coordinate geometry in a (heavily) distorted tricapped trigonal prismatic arrangement, as seen in related complexes. 46The trigonal prism is capped by two tethered carboxylate groups and a flu-  oride (for YbL CF3 -F) or a water molecule (for YbL H ). The two planes of the trigonal prism are comprised of the N-donors of the tacn ligand (N1, N2, N3 for YbL CF3 -F/N4 YbL H ; N 3PL ), or of the antenna amide O-and the pyridine N-donors (N3 for YbL H /N4 for YbL CF3 -F, N5, O1; NNO PL ).As previously observed, the two planes are not parallel with N 3PL -Ln-NNO PL angles ranging 123-125°.These values are slightly wider than those of related Eu-, Gd-and Tb-complexes previously reported. 46In addition, the Yb centre sits further from the NNO PL (Ln-NNO PL ∼0.65 Å (Yb) vs. ∼0.3Å (Eu, Gd, Tb)) and closer to the N 3PL (Ln-N 3PL 1.967(2) to 1.9860(15) Å (Yb) vs. 2.017(4) to 2.065(4) Å (Eu, Gd, Tb)).These differences are likely to arise from the shorter ionic radius of Yb 3+ (for CN = 9, 1.04 Å) than that of lighter Ln 3+ ions (CN = 9, Eu 3+ 1.12 Å, Gd 3+ 1.11 Å, Tb 3+ 1.10 Å). 55 Both YbL CF3 -F and YbL H are racemic in the solid state, containing Λ(δδδ) and Λ(λλλ) isomers in the unit cell (Table S1 †). 52he bond metrics are shorter than those reported for Ln 3+ carbostyril-substituted tacn and cyclen complexes, 46,51 which is consistent with the smaller ionic radius of Yb 3+ .The Yb-O and Yb-N bond distances in YbL CF3 -F are slightly elongated when compared to those in YbL H , which can be ascribed to the presence of the fluoride co-ligand shielding the Yb charge in the former, although electronic differences between the macrocyclic ligands may also play a role.The Yb-N tacn distances range 2.513(3)-2.649(4)Å, while the Yb-N PY distances range 2.456(2)-2.512(2)Å.The Yb-O distances of the carboxylates range 2.306(2)-2.389(2)Å, and the Yb-O(amide) distances vary 2.355(2)-2.400(2)Å.The Yb-F and Yb-OH 2 distances of 2.110(2) and 2.313(2)-2.326(2)Å, respectively, are shorter than those of related Ln 3+ tacn-and cyclenbased complexes (averages: Ln 3+ -F, 2.203(3) Å; Ln 3+ -OH 2 , 2.404(4) Å), but the differences are consistent with the smaller ionic radius of Yb 3+ (Table S2 †). 46,51he CN and geometry of the complexes depend on the structure of the ligand.The X-ray structures of YbL CF3 -F and YbL H show that these two species have CN = 9 and adopt a distorted tricapped trigonal prismatic arrangement, whereas the cyclen-based complexes were twisted square antiprismatic (TSAP) with CN = 8. 56 The 1 H NMR spectra of YbL X are consistent with all the complexes adopting the same geometry in solution.For both sets of ligands, we can assume that changes in photophysical properties within a series will be due to changes in redox properties rather than structural differences.

Electrochemistry
The metal-and ligand-based redox properties of the complexes were studied by cyclic voltammetry.Experiments were carried out on the complete library of Yb(III) complexes, as well as with a series of model compounds with only a picolinate moiety (Fig. 2a).The latter were designed to enable the identification of Yb and pyridine-based redox events.Analyses were performed at 0.1 V s −1 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.Voltammograms were recorded by scanning first towards more negative potential values (reduction).A glassy carbon electrode and a Ag/Ag + reference electrode (0.01 M AgNO 3 in MeCN) were used.Ferrocene was used as a pseudo-reference and was added at the end of the experiment.The peak anodic and cathodic potentials (E pa , E pc ) values vs. F c /F c + and vs. NHE are reported in Table S4.† The electrochemical properties of YbL X were explored along with those of p-substituted picolinate models Py X (Fig. S17 and S18 †).Compounds Py X display an irreversible reduction wave with E pc values from −1.66 to −1.46 V vs. NHE that follow the order Py OMe < Py H < Py Cl < Py CF3 .This wave was attributed to the substituted pyridine reduction, which is easier for the picolinate with a stronger electron withdrawing group (Table 1). 57,58An oxidation wave at ∼0.94 V vs. NHE is common to all Py X , and may correspond to the oxidation of the tertiary 6-amino group (Table S4 †). 59YbL X display several reductive events and no oxidation wave (Fig. S18 †).The first reduction wave in these complexes range from −1.88 to −1.51 V vs. NHE and similarly follows the order YbL OMe < YbL H < YbL Cl < YbL CF3 .As a comparison, picolinate reduction in GdL X in 100 mM aqueous NH 4 Cl solution under Ar occurred between E red = −1.43V vs. NHE (for X = OMe) and −1.13 V vs. NHE (for X = CF 3 ), 46 and shows a similar trend in E pc value of the first reduction wave (OMe < H < Cl < CF 3 , Table 1).The acetylated 4-methoxymethyl carbostyril antenna has a reduction potential of −2.22 V vs. NHE measured in identical conditions as YbL X . 56This entity is probably not involved in the reductive event observed in YbL X complexes.The first reduction wave may be either due to the reduction of a picolinate moiety or of Yb(III).
A linear variation of E pc versus Hammett substituent constants σ p is observed for YbL X and Py X , similarly to what has previously been observed for GdL X (Fig. S19 †). 46This indicates that the p-substituents have a strong influence on the electronaccepting ability of YbL X , and the greater electron accepting ability of the picolinate moieties shifts E pc to more positive values.The impact of the substituent is larger in YbL X and GdL X complexes compared to the model compounds and seems to depend on the Lewis acidity of the metal ion as ΔE pc (CF 3 vs.OMe) = 0.37 V for YbL X , 0.30 V for GdL X , and 0.20 V for Py X .
All tacn-based YbL X cyclic voltammograms contain several irreversible reductive events that happen at close potentials

Dalton Transactions Paper
This (Fig. S18 †), and could correspond to picolinate or Yb(III) reductions.The irreversibility of the first reduction wave in YbL X suggest that the reduced YbL X red is not stable and that a chemical step takes place after the electron transfer.Due to this, it is impossible to determine the reduction potential of the Yb(III)/Yb(II) couple for YbL X .Thus, the value of −1.92 V vs. NHE (E pc for YbLc1) was used for the calculations of ΔG eT for antenna to Yb(III) PeT, while E red values of YbL X (Table 1) were utilised to calculate intraligand PeT driving force in YbL X complexes (vide infra).

Photophysical properties
The photophysical properties of the complexes were determined in aqueous 10 mM PIPES buffer at pH = 6.5 ([LnL] = 10 μM) to enable comparison with LnLc. 56The results are summarised in Tables 2, 3, S5-S7, and Fig. 4, 5 and S20-S35.† Ligand-centred photophysics.The luminescence spectra of all the Ln complexes were similar.The absorption spectra of YbL X showed two bands at λ abs = 274-279 nm and λ abs = 330-331 nm, assigned to pyridine and carbostyril absorptions, respectively (Fig. S28 †).The longer-wavelength absorption band was independent of the picolinate substitution pattern, indicating that the effects of the pyridine electronic properties on the carbostyril photophysics are negligible.The relative intensity, λ abs , and the shape of the pyridine absorption band was strongly substituent-dependent.More electron poor YbL CF3 had larger intensity and red-shifted absorption of the picolinate band compared to that of YbL H .In order to avoid variations due to the picolinate absorption of the complexes, YbL X excitation was performed at 323-331 nm, where only the carbostyril chromophore absorbs.
Antenna excitation at λ ex = 329 nm yielded antenna fluorescence with λ em = 376 nm (Fig. S29 †), along with Yb(III) luminescence in the NIR (vide infra).The shapes of the YbL X carbostyril fluorescence spectra differed from those of cyclenbased complexes with the same antenna.Specifically, in the case of YbL X an additional band is observed between 400-600 nm compared to YbLc (Fig. S22 †).This band becomes stronger in the order YbL H < YbL OMe < YbL Cl < YbL CF3 , and could indicate aggregation, or could be a twisted intramolecular charge transfer state of the carbostyril induced by steric, electrostatic, and/or photodynamic effects.A similar extra band has been observed in Ln complexes bearing multiple coumarin antennae in the coordination sphere, 60 and was shown to impact the photophysical properties of the Ln ions by facilitating either EnT or BET.
The antenna fluorescence residual quantum yields (Φ L ) were determined relative to quinine sulfate (Table 2).YbL OMe with the most electron-rich OMe-substituted pyridines had the largest Φ L , 4.69%, that of YbL CF3 was only 0.99%.These trends follow the ones seen in the Eu(III), Tb(III), and Gd(III) complexes of the same ligands. 46The differences in Φ L can be ascribed to PeT from the excited antenna to the pyridines, in addition to any PeT that may take place to Yb(III) (vide infra). 46The larger Φ L of YbLc1 than that of YbL X is consistent with intraligand PeT in the latter, which is also supported by the antenna fluorescence lifetimes (τ f,L ).The τ f,L are longer in YbLc1 than in YbL X , 0.34 ns and <0.26 ns, respectively (Tables 2, S7, Fig. S31 and S32 †).For YbL X with the most electron-deficient pyridines (X = Cl, CF 3 ) τ f,L were too short to measure with the experimental setup available to us (the lowest measurable lifetime value was 0.15 ns).
The steady-state emission spectra at 77 K of YbL X revealed structured fluorescence bands, and no phosphorescence was observed, unlike in the case of the Gd analogues (Fig. S33 †).Hence, T 1 is completely quenched in YbL X as it was also demonstrated for YbLc series.Notably, S 1 /T 1 were ∼0.36 for GdL X which is indicative of similar intersystem crossing rates across the set of complexes with L x ligands (Table S7 †).
The photostabilities of YbL X were determined by irradiation of their samples in the presence of atmospheric oxygen.The extent of complex degradation was estimated from the antenna fluorescence emission spectrum.Within the YbL X series, YbL OMe had the lowest emission intensity (78% from initial) after continuous light irradiation for 2 h (Fig. S34 and S35 †).The other compounds retained 86-91% of their original emis-   47 YbL X are more photostable than TbL X , the degradation of the latter likely proceeds through antenna T 1 repopulation via BET, which is not possible for YbL X . 47etal-based photophysics.Excitation of the antenna at 323 nm yielded Yb(III) emission between 930-1100 nm for every complex (Fig. 4).The shapes of the emission spectra were compared by normalising them relative to the integral intensity of the emission bands.The shape of the emission is different in these complexes from those based on cyclen ligands. 56YbL X have two observed transitions centred at 979 nm and 1006 nm rather than the three transitions observed for YbLc0-3 indicating that the symmetry of the coordination sphere is not the same in the two series.This confirms the observations that in the solid state the cyclenbased structures adopt a TSAP geometry with a coordination number of 8, whereas YbL CF3 -F and YbL H are in a distorted tricapped trigonal prismatic arrangement with a coordination number of 9.

Complex
The spectra of YbL X are similar and only a small variation of the most energetic and intense transition is observed.Upon increasing the electron-withdrawing character of the picolinate para-substituent, the intensity of 979 nm transition increases, whereas that of 1006 nm is unchanged within the experimental error.The spectra of YbL H and YbL Cl are very close to each other.
The Yb(III) excitation spectra contain features ascribed to the antenna as well as the picolinates (Fig. 5).The high-energy component is picolinate-dependent, and the intensity of this excitation band increases from the YbL OMe to YbL Cl , YbL H and YbL CF3 , which is 1.7-fold higher than the excitation of YbL OMe .YbL Cl and YbL H have approximately the same excitation intensity but with YbL H slightly higher and blue-shifted compared to YbL Cl .The absorption spectra display a similar trend, so that the higher intensity may come only from the increased amount of absorbed light.If the picolinates are better sensitisers than the carbostyril antenna, the effect should be in the order of 10-30% according to the peak intensity difference observed between the absorption and the excitation.
The relative Ln(III) emission quantum yields (φ Ln ) were calculated compared to the strongest emitter YbL Cl (Table 3).With one exception, YbL X are overall more luminescent than YbLc, despite intraligand PeT quenching the antenna excited state, and an inner-sphere water molecule.YbL OMe and YbL H have similar quantum yields within experimental error, and YbL Cl was found to have the largest quantum yield, albeit only 2-3 standard deviations higher than YbL OMe and YbL H .The electron-withdrawing picolinate p-CF 3 group is unfavourable to Yb(III) luminescence, and YbL CF3 has the lowest quantum yield, even lower than YbLc1.While electron-withdrawing groups in the ligand should induce a stabilisation of the more electron rich Yb(II), such effect appears to be overpowered by the negative consequences of the intraligand eT which is the most thermodynamically downhill process for YbL CF3 in the YbL X series (Table S8 †).The calculation of intraligand ΔG eT was done with E red (Pic/Pic •− ) ranging from −1.88 V (YbL OMe ) to −1.51 V vs. NHE (YbL CF3 ).The results were consistent with intraligand eT being least and most favourable in YbL OMe (−0.04 eV) and YbL CF3 (−0.41 eV), respectively, which is consistent with the lowest φ Ln and Φ L for the latter complex.
This result suggests that having electron-withdrawing groups on the picolinates is indeed beneficial to the PeT   antenna-Yb(III) pathway, but that the balance between the two PeT mechanisms, one quenching and one sensitising, is subtle.There is therefore probably not a lot of room for improvement of the PeT sensitised Yb(III) quantum yield by incorporating extra chromophores that are susceptible to photoredox processes.4][65] Neither T 1 (∼22 500 cm −1 ) 25 nor S 1 (>27 500 cm −1 ) in YbL X appreciably overlap with the Yb(III) receiving level (10 260 cm −1 ), 66 which excludes resonance EnT sensitisation.Therefore, PeT 38,41 or PAEnT 39 (Fig. 1) must be operating.
We have recently shown that in YbLc1 and all its 0 to +3 charged analogues sensitisation can happen by PAEnT and by PeT.The contribution from PeT was probably small even in those +2 and +3 charged complexes where the initial PeT step of the mechanism was feasible.The thermodynamic feasibility of PeT as the first stage of this pathway was calculated (Table S9 †).Due to the uncertainty of assigning E red (Yb(III)/Yb (II)) in the cyclic voltammograms of YbL X , calculations were performed with E red (Yb(III)/Yb(II)) equal to −1.92 V vs. NHE.The latter value is E red (Yb(III)/Yb(II)) for YbLc1.The reduction potential of Ln(III) are strongly dependent on the overall charge of the complex, 50,51,67 so the Yb(III) centre in YbLc1 is a reasonable model for a +1 charged species.With E red (Yb(III)/Yb(II)) of −1.92 V vs. NHE a ΔG(PeT) = 0 eV was obtained.The other, less negative E red for Yb(III)/Yb(II) reduction values allowed for increasingly thermodynamically downhill processes.
The major sensitisation pathway of Yb(III) emission was still a question despite the suggested mechanisms (Fig. 1).Thus, we calculated the ratios of the Franck-Condon (FC) factors for the processes: ( 2 F 7/2 -T 1 ) → ( 2 F 5/2 -S 0 ), which ultimately leads to Yb(III) luminescence, and ( 2 F 7/2 -T 1 ) → ( 2 F 7/2 -S 0 ) that is responsible for the non-radiative deactivation of the complexes.The former was found to be 8 (YbL H,Cl,CF3 ) to 9 (YbL OMe ) orders of magnitude faster than the latter (Tables S10 and S11 †).Moreover, the ratio of FC factors for the same processes in YbLc3c, the strongest emitter of the YbLc series, was found to be identical to that of YbL H,Cl,CF3 .Hence, intraligand eT quenching in YbL CF3 (vide supra) offsets the improved φ Ln , which was observed for the rest of the YbL X series compared to the YbLc.
In short, Δ r G for the direct Yb(III)-antenna PeT reaction is approximately 0, whereas for the intraligand PeT it is slightly to moderately negative and hence favourable.So intraligand PeT is more likely to happen, and is especially supposed to be prevalent for YbL CF3 , the least luminescent complex.While intraligand PeT thus does appear to be unfavourable for Yb(III) luminescence, YbL Cl is the second most favoured for intraligand PeT and the most luminescent YbL X .Without additional experiments the actual contribution of this process to the overall sensitisation mechanism in YbL X is difficult to establish with certainty.

Conclusions
A series of Yb(III) coordination compounds based on a tacn macrocycle functionalised by a carbostyril antenna and two identical para-substituted picolinate derivatives was prepared.Solution and solid-state studies of the Yb(III) complexes revealed the presence of similar species with a nonadentate distorted tricapped trigonal prism coordination environment of the metal centre.The picolinate-based reductions in Yb(III) compounds took place from −1.88 to −1.51 V vs. NHE for the least and most electron-deficient ligands, respectively, which is in accordance with the expected substitution effect.Yb(III) emission was differently shaped compared to the one of the cyclen series, which is expected as the tacn-and cyclen-based complexes have different symmetries.The fluorescence of the antenna was altered by the different substituents on the picolinate, and the antenna Φ L were consistent with PeT quenching of the carbostyril excited state by the electron-poor pyridines.
The quantum yields of the Yb(III) emission were higher than those of cyclen-based emitters.This was surprising as in YbL X Yb(III) sensitisation was competing with antenna quenching by the picolinates.The higher Yb(III) luminescence could be the result of a an improvement in either of the two components contributing to the overall emission, namely (1) better sensitization, or (2) more efficient radiative decay of excitedstate Yb(III), i.e. higher intrinsic quantum yield of L X -bound Ln(III).The possibility of the latter is suggested by the comparison with the analogous Eu species for which Φ Ln Ln is readily determined: Φ Eu Eu (EuL X ) is larger than Φ Eu Eu (EuLc), ∼17.5 and 11%, respectively. 7,51b(III) sensitisation was unlikely to proceed via resonance EnT due to the lack of spectral overlap between the antenna and the Yb(III) excited states.The initial antenna-to-Yb(III) PeT step of Horrock's PeT mechanism seemed to be thermodynamically neutral.Other PeT pathways may be sensitising, and could contribute to the increased Yb luminescence of YbL X .According to our calculations the intraligand process is thermodynamically favourable, and should be upon recombination or further electron transfers sensitising for Yb.T rise times, and an analysis of triplet T-T absorption could show how the Yb(III) excited state is populated, and could directly show the contributions of the various sensitisation and quenching pathways.Taken together, these results are relevant for emitter design in several ways.First, incorporating multiple antennae in the same complex is often employed to increase emitter brightness.Our results suggest that quenching by intraligand PeT should be considered, and if possible, avoided so as not to lose the benefit of the improved absorption.Second, the emission intensity from the Eu(III) and Tb(III) complexes of these tacn-based ligands were clearly inferior to the cyclen-based ones; the situation was reversed for Yb(III).This may be due to increased Φ Ln Ln resulting from a change in the complex coordination geometry, or an improvement in sensitisation, e.g. the fact that specifically for Yb, intraligand PeT could also be sensitising.

Fig. 1
Fig.1Competing sensitising and quenching processes in photoexcited YbL X complexes; solid and dashed lines indicate radiative and non-radiative processes, respectively.

Fig. 3
Fig. 3 Solid-state structure (left) and the coordination environment of Yb from the top and side view (right) in YbL H . H atoms, non-coordinating Cl − counterions and water molecules were omitted for clarity.Ellipsoids displayed at 50% probability for atoms of the coordination environment, the rest of the molecule is depicted as capped sticks.
1 decay to Yb(III)*-S 0 via PAEnT appears to be a viable sensitisation pathway in these emitters.Future experiments to determine the Yb(III) radiative lifetimes and intrinsic quantum yields could determine the contribution made by the coordination environment to the overall improvement in luminescence.The measurement of Yb(III), and antenna S 1 and T 1 lifetimes and Paper Dalton Transactions 16602 | Dalton Trans., 2022, 51, 16596-16604 This journal is © The Royal Society of Chemistry 2022

Table 1
Picolinate-based reduction potentials in YbL X , Py X and GdL X a Measured in DMF in glovebox with 0.1 M NBu 4 ClO 4 as a supporting electrolyte and at 0.1 V s −1 scan rate.bMeasured in H 2 O with 0.1 M NH 4 Cl as a supporting electrolyte under Ar at 0.1 V s −1 scan rate, from ref.46.
These values are comparable to what has been observed for EuL X for which both PeT and intraligand PeT are possible.

Table 3
Relative Yb(III) luminescence quantum yields of YbL X