The incorporation of the flavin derivatives 10-methyl-isoalloxazine (MIA) and 6-fluoro-10-methyl-isoalloxazine (6F-MIA) into MIL-53 and MOF-5 was carried out using a post-synthetic, diffusion-based incorporation into microcrystalline MIL-53 powders and an in situ embedding during MOF-5 synthesis.
2.1. Flavin@MIL-53 synthesis
For the post-synthetic wet infiltration of MIL-53 different quantities of a saturated MIA or 6F-MIA solution in chloroform were added to the activated MOF MIL-53-lp and the suspension stored on an orbital shaker until all the solvent has been evaporated. The flavin@MIL-53 composites were washed with chloroform and then dried at 60 °C under dynamic vacuum. The MIA@MIL-53 composites contained 0.4 to 2.7 wt% of the flavin in the MOF and the 6F-MIA@MIL-53 composites between 0.1 to 1.5 wt% (see
Supplementary Materials for details).
To further verify the incorporation of the flavins in the MOFs, nitrogen adsorption isotherms were recorded at 77 K (
Figure S15). For very small amounts of incorporated flavin in MIL-53 (<1 wt% for MIA and 0.1 wt% for 6F-MIA), a slight increase in the internal surface area may occur (
Table 1), which can be attributed to an additional washing effect exerted by shaking in the flavin solution. The proportional decrease in BET surface area and pore volume (
Table 1) with an increase in flavin amount indicates successful incorporation into the network. The initial S
BET value of 1130-1150 m
2/g for MIL-53 decreases to 80 m
2/g (MIA@MIL-53) and 40 m
2/g (6F-MIA@MIL-53), corresponding to a nearly nonporous structure which is most likely due to pore blocking by occupation of the pore mouths with the flavin molecules. For the small wt% of the flavin the pore volume of the large-pore form of MIL-53 cannot be completely filled. Based on the crystallographic density ρ in the crystal structure of MIA of ρ = 1.6 g/cm
3 [
60] and 1/ρ = 0.63 cm
3/g the maximum flavine loading of ~4 wt%, that is 0.04 g(flavine)/g(composite) would only occupy a volume of 0.025 cm
3/g or about 6% of the determined total pore volume of ~0.5 cm
3/g in neat MIL-53. When we consider the MIL-53 formula unit of [Al(OH)bdc] (M = 208.11 g/mol), then there is one channel segment of 13 Å (which is about the length of a MIA molecule) for 8 formula units. At a loading of 4 wt% MIA@MIL-53 we have 0.04 g MIA (0.175 mmol) in 0.96 g MIL-53 (4.6 mmol). Thus, the molar ratio of MIA molecules to the channel segments of 13 Å is 0.175:(4.6/8) = 0.3 or ~3.3 channel segments per MIA molecule. In other words, on average at this loading the MIA molecules can be ~2x13 Å = 26 Å apart, that is separated by 26 Å. At a loading of 1.5 wt% 6F-MIA@MIL-53 we have 0.015 g MIA (0.06 mmol) in 0.985 g MIL-53 (4.7 mmol). Thus, the molar ratio of 6F-MIA molecules to the channel segments of 13 Å is 0.06:(4.7/8) = 0.1 or better ~10 channel segments per 6F-MIA molecule. In other words, on average at this loading the 6F-MIA molecules can be ~9x13 Å = 117 Å separated along a channel.
Other diffusion-based incorporations into MOFs have shown that in such a post-synthetic modification the molecules remain trapped close to the pore mouths [
59]. For MIL-53 with its flexibility and breathing mode, formation of the narrow-pore form can also occur upon activation, which precedes the nitrogen sorption measurement.
The phase analysis of the flexible MIL-53 network structure after flavin insertion and before activation by powder X-ray diffraction (PXRD) shows a superposition of the three MIL-53 phases from the comparison of the MIA@MIL-53 composites with the simulated MIL-53-as, MIL-53-np and MIL-53-lp diffractograms (
Figure S16a). The samples with the two highest loadings (2.7 wt% and 3.9 wt% for MIA, 1.0 wt% and 1.5 wt% for 6F-MIA) were measured before and after activation (
Figure S16b). The incorporated flavin affects the phase which the flexible MIL-53 network assumes. A loading of up to 2.7 wt% MIA gives only the narrow-pore form after activation which is understandable if the flavin molecules would occupy little of the inner pore volume and do not penetrate deep into the channels. At a loading of 3.9 wt% MIA, a superposition of the large- and narrow-pore form remains (
Figure S16b). The comparison of the 6F-MIA@MIL-53 composites with the simulated MIL-53 PXRDs patterns show good matches with MIL-53-lp form, independently of incorporated flavin amounts (
Figure S17a).
For 6F-MIA after activation and at a loading of 1.0 wt% the PXRD is also superposition of the large-and narrow-pore phases (
Figure S17b). At the maximum loading of 1.5 wt% of 6F-MIA, almost no change in the diffractogram is evident upon activation, indicating retention of the large-pore form with just a trace formation of the narrow-pore phase (
Figure S17b).
2.2. Flavin@MOF-5 synthesis
The flavins were incorporated
in situ into MOF-5, that is during the MOF formation in order to achieve a uniform distribution and pore filling of the flavins throughout the network [
51,
59]. From a comparison of the dimensions of MIA and 6F-MIA (4 × 8.5 × 12 Å) (
Figure S11) with the pore diameter of 15 Å in MOF-5, which is larger than its pore window size (8 × 8 Å) (
Figure S14), the flavin molecules can be very well incorporated during the crystal formation. By using concentrated solutions of the flavins in dimethylformamide (DMF), cubic single crystals with an edge length up to 1 mm were synthesized according to a protocol by Han
et al. [
62].
The incorporated flavin amounts were determined by UV/Vis spectroscopy from the supernatant solution (Section S1.2) to 0.85 wt% for MIA@MOF-5 and 27.6 wt% for 6F-MIA@MOF-5. The high amount of 6F-MIA is explained by the very good solubility of 6F-MIA in DMF for a saturated solution of
c6F-MIA = 2640 mg∙L
–1 whereas MIA was much less soluble, giving only
cMIA = 272 mg∙L
–1 as a saturated solution (Section S2). From the crystallographic density of MIA of ρ = 1.6 g/cm
3 [
60] and 1/ρ = 0.63 cm
3/g the 6F-MIA loading of 0.28 g(6F-MIA)/g(composite) would still occupy only a volume of 0.18 cm
3/g or about 18% of the total pore volume of ~1.0 cm
3/g in neat MOF-5 [
52]. The MOF-5 formula unit is [Zn
4O(bdc)
3] (M = 769.87 g/mol). There is 1 "pore" per formula unit. At a loading of 0.85 wt% MIA@MOF-5 we have 0.0085 g MIA (37 µmol) in 0.9915 g MOF-5 (1.3 mmol). Thus, the molar ratio of MIA molecules to pores is 0.037:1.3 or 0.029 (MIA per pore), or ~34 pores for each MIA molecule. At a loading of 27.6 wt% 6F-MIA@MOF-5 we have 0.276 g MIA (1.1 mmol) in 0.724 g MOF-5 (0.94 mmol). Thus, the molar ratio of 6F-MIA molecules to pores is 1.1:0.94 or 1.2 6F-MIA per pore, that is on average less than one pore for each MIA molecule. So, for 6F-MIA more than one molecule in a pore in MOF-5 will occur.
Powder X-ray diffraction shows a good match between the flavin@MOF-5 composites, synthesized MOF-5 crystals and the simulated MOF-5 diffractogram (
Figure S18).
The large flavin@MOF-5 crystals were analyzed by confocal laser scanning microscopy (CLSM) for the distribution of MIA (
Figure 3) and 6F-MIA (
Figure 3) in the MOF. The fluorescence images of the sectional planes support an even incorporation of the flavin dyes throughout the whole MOF crystals during the
in situ synthesis.
Figure 3.
Confocal images of of MIA@MOF-5. (a) Confocal laser scanning microscopy 3D profile, (b) sectional plane at 200 µm from top, and (c) stack of sectional planes of MIA@MOF-5 (cw excitation at λex = 458 nm, λem = 530-555 nm). Every sectional plane corresponds to a measurement thickness of 4 μm. which corresponds to the optical resolution of the used objective UPLSAPO10X/0.4NA.
Figure 3.
Confocal images of of MIA@MOF-5. (a) Confocal laser scanning microscopy 3D profile, (b) sectional plane at 200 µm from top, and (c) stack of sectional planes of MIA@MOF-5 (cw excitation at λex = 458 nm, λem = 530-555 nm). Every sectional plane corresponds to a measurement thickness of 4 μm. which corresponds to the optical resolution of the used objective UPLSAPO10X/0.4NA.
Figure 4.
(a) Confocal laser scanning microscopy 3D profile for a height z of 25 µm, (b) line profile along z of 6F-MIA@MOF-5 (cw excitation at λex = 458 nm, λem = 530-555 nm, objective UPLSAPO10X/0.4NA). The fluorescence intensity decreases with the depth due to the inner filter effect.
Figure 4.
(a) Confocal laser scanning microscopy 3D profile for a height z of 25 µm, (b) line profile along z of 6F-MIA@MOF-5 (cw excitation at λex = 458 nm, λem = 530-555 nm, objective UPLSAPO10X/0.4NA). The fluorescence intensity decreases with the depth due to the inner filter effect.
2.3. Fluorescence spectroscopy and photophysics
Before discussing the fluorescence properties of the flavin@MOF composites in detail, it is important to elaborate, which fluorescent species can be expected upon incorporation in MOFs. Since we varied the loading rate of incorporated flavins, we computed the probability
p that a certain occupation number of flavins per site could be incorporated in MOFs assuming a random distribution of dyes. Using the average numbers of flavins per site
nav(flavins / site) approximated in sections 2.1 und 2.2, our computation shows that the probability
p(> one) that more than one flavin is incorporated per site can be significant for our conditions (
Table 2). The probability
p(> one) is higher in MIL-53 already at low loading as compared to MOF-5. In this context, it important to take into account that organic chromophores with an extended π system can stack in solution with increasing concentration so that H- or J-aggregates of variable composition and structural arrangements can be formed. Due to the affinity of these chromophores to associate, the computed probabilities
p(> one) represent only lower limits that will be even higher in reality. Thus, flavin confinement in MOF composites could lead to J- or H-aggregates of variable stoichiometry. Notably, the emission properties of the chromophore aggregates critically depend on the strength of the excitonic coupling and on charge transfer interactions can be influenced by their orientation stoichiometry and chemical structure. Therefore we can expect variable fluorescent species for flavin@MOFs. Accordingly, we investigated in the following, whether the measured fluorescence spectra, lifetimes and anisotropies indicate the presence of multiple fluorescent species that could be related to aggregates.
The fluorescence spectra of both flavins, in solution 1:1 MeOH/DCM and in solid powder, are compared with their composites (bold lines) in
Figure 5 for measurements at room temperature. Additional fluorescence spectra at 77K were measured for all compounds and are compared with the corresponding spectra at room temperature in the supplementary materials Section S5,
Figures S19-S22. The fluorescence spectrum of solid MIA is strongly red shifted with respect to the solution in 1:1 DCM/MeOH, while this shift is much weaker for 6F-MIA where a shoulder around 650 nm appears. The fluorescence spectra of flavin@MOF composites reveal a broadening at the bathochromic side that is stronger for higher loadings. We conclude that a mixture of emitters, that is flavin monomers and aggregates exists. Due to the bathochromic shift of the spectra and the presence of shoulders for lower emission energies, we identify fluorescent J-aggregates as additional emitters. Consistently, the presence of bathochromically shifted emitters was enhanced for high flavin loadings at 77 K.
Next, we analyzed the fluorescence lifetimes and quantum yields. summarizes, fluorescence lifetimes (
τ) and quantum yields (
ΦF) and the wavelengths of the fluorescence maxima (λ
F,max) of the flavin dyes MIA, 6F-MIA and the flavin@MOF composites, which were measured with a time-resolved fluorescence spectrometer front-face sample holder (fluorescence spectra in
Figure 5 and
Figures S19-S22) and multiparameter fluorescence image spectroscopy (MFIS) with polarization resolved detection using both single photon timing electronics. All measured time-resolved fluorescence decays of both instruments are displayed in
Figures S23-S33. The time-resolved fluorescence measurements in the fluorescence spectrometer and the confocal microscope with multiparameter fluorescence detection (see methods section) gave consistent results. All fluorescence decays of flavin@MOF composites required four fluorescence lifetime components. Besides three fluorescence lifetimes in the ns range, polarisation-resolved MFIS detected a significant fraction of depolarized signal (i.e. fluorescence and not scattered excitation light) with a lifetime of 30 ps, which indicates the presence of strongly quenched fluorescent species. This agrees with the drop of the fluorescence quantum yields,
ΦF, observed for flavin@MOF composites. Notably, the fluorescence lifetimes of solid flavins are all in low picosecond time ranges, too. This finding agrees also with the quantum-chemical calculations presented in section 2.4. below and in supplementary material section S6. Although, the fluorescence quantum yields,
ΦF, in flavin@MOF composites indicate partially quenched fluorescence species, the
ΦF values are up to 8 times higher than for solid flavins. Moreover, in agreement with
Table 2, we observe a qualitative correlation between lower fractions of quenched species for low loadings and
nav(flavins / site). The flavin's tendency of forming J-aggregates is already visible in solution measurements of pure dyes. While at least three fluorescent species (most likely a small fraction of fluorescent aggregates) are detectable by three lifetimes in the solvent 1:1 DCM/MeOH dissolving flavins only moderately, a single fluorescent species is detectable in water, where flavins are dissolved well. In 1:1 DCM/MeOH, the longest lifetime with species fraction between 10 and 20% is in the range of 8 to 10 ns that is longer than the lifetime of the dye in water. The solid-state measurements and quantum-chemical calculation suggest that weakly and strongly fluorescent aggregates can coexist.
We applied confocal multi-parameter fluorescence image spectroscopy (MFIS) to map also the spatial and orientation dependence of the fluorescence properties for the microcrystalline sample of flavin@MIL-53 and large single crystals of flavin@MOF-5.
The average fluorescence lifetime
of MIA@MIL-53 (3.9 wt%) (
Figure 6a, panel 1) and a crystal of MIA@MOF-5 (
Figure 6b panel 1) yielded 4,5 and 4.7 ns, respectively, For 6F-MIA@MIL-53 (1.5 wt%) and 6F-MIA@MOF-5 the values of
are 3.5 and 4.5 ns (
Figure 6c,d panel 1), respectively. These results consistent with the lifetime obtained by the fluorescence spectrometer. The average fluorescence lifetime values of the chromophores in flavin@MOF composites are similar to the values in aqueous solution (
Table 3). Interestingly, the fluorescence lifetime of MIA is affected by the location in the crystal. The lifetime of MIA is slightly but significantly longer in the center of the MOF-5 crystal (
Figure 6b, the false colors for lifetime values are darker in the middle (5.5 ns)). This positional effect explains the surprising result that the fluorescence lifetime distribution of MIA is broader in MOF-5 than in MIL-53 crystals (
Figure 6b vs a). Being aware that deactivation processes of MIA and 6F-MIA in solution include fluorescence, intersystem crossing and internal conversion with different relative efficiencies [
17], we note that both methods for lifetime analysis indicate that MIA is the less sensitive derivative as compared to 6F-MIA.
With higher loading of the flavins into MIL-53, λ
max shifts to slightly longer wavelengths (
Table 3). A similar shift is seen for MIA when going from an aqueous to a DCM/MeOH solution and oppositely for 6F-MIA between a DCM/MeOH and water solution. In general, conditions where the flavin molecules come closer together enable charge transfer processes and self-quenching between them, resulting in spectral shifts and broadening of the emission bands loss of fine structure and reduction of the fluorescence quantum yield. It is known, that the photophysical properties of a chromophore in a MOF are influenced by the geometric restrictions imposed by the framework structure [
18]. In all flavin@MOF composites, a strong increase in both lifetimes and quantum yields compared to the neat solid flavin is observed. In the case of MIA@MIL-53 and MIA@MOF-5 a ~10-fold increase in lifetime and a 3 to 5-fold increase in quantum yield can be observed compared to solid MIA. For the 6F-MIA@MOF composites, these increases are even more evident, with a ~50-fold increase in lifetime and ~3-fold increase in quantum yield. Compared to the neat solid flavins the incorporation of the molecules within the MOFs reduces the nonradiative decay rates, leading to increased fluorescence intensities, lifetimes, and quantum yields. This effect is especially prominent in MFIS. The photophysical parameters of the flavin@MOF composites correspond to the data of the flavins in solution (
Table 3) fostering the concept of "solid solutions" for dye@MOF composites.
From the MFIS analysis, it is evident that microcrystals of flavin@MIL-53 vary significantly in both size and polarization properties (
Figure 6a,c panel 2). The orientational distributions of both flavin chromophores is indicative by a broad distribution of the fluorescence anisotropies
r due to varying size and orientation of the flavin@MIL-53 micro-crystallites (
Figure 6a-c). For this discussion of the r-distributions, it is important to consider the broadening of the distributions due to shot noise caused by the relatively small average number of photons per pixel (
(MIA) = 35) and
(6F-MIA) = 200). 6F-MIA@MIL-53 exhibits the broadest r-distribution reaching its upper limit (r =1) and lower limit (r=0). The reduce shot noise, we integrated the signal of the whole image to compute time-resolved anisotropy curves
r(t). (
Figure 6a,c panel 4). This was accomplished by global fits with iterative reconvolution of the instrumental function (grey curves in
Figure S33) to p- and s-polarized decays. The fits required 4 fluorescence lifetime components (lifetimes and species fractions are compiled in
Table 3) and one (two for MIA@MIL-53) depolarization correlation time.
It is especially remarkable, that r(t) of 6F-MIA@MOF-5 exhibits starts with a fundamental anisotropy r
0 = 0.4 and exhibits no decay. This is direct proof the MFIS images resolve the distribution of randomly distributed particles whose orientation on the surface is static. The fact that the anisotropy of some 6F-MIA@MOF-5 microcrystals reaches one, geometric constraints of available space in MIL-53 and quantum-chemical calculations (see below) allow us to conclude that transition dipole moments for absorption and fluorescence (TDM) (see supplementary materials Section S6.5
Figure S41) of the various fluorescent 6F-MIA species must be oriented along the one-dimensional channel of MIL-53 with no large deviation among each other. Considering MIA@MIL-53, the fundamental anisotropy r
0 = 0.364 is slightly smaller and an additional decay term with a depolarization time of 3.1 ns is observed. Form this it is evident that the order of the MIA TDMs is identical for all fluorescent species, but nevertheless preferential along the channel axis.
In contrast to MIL-53, MOF-5 provides a very well defined and ordered porous framework with large flavin@MOF-5 crystals (
Figure 3,
Figure 4,
Figure 6b,d) as indicated by a narrow distribution of fluorescence anisotropies
r, which are centered around mean anisotropy values:
(MIA) = 0.6 (blue line in
Figure 6b, panel 3) and
(6F-MIA) = 0.56 (magenta line in
Figure 6d, panel 3). Both flavin@MOF-5 samples show high anisotropies that indicates distinct oriented binding sites, excluding random orientation of the dye molecules in the crystal. As for 6F-MIA@MIL53, no time-dependence of the anisotropy r(t) was observed for 6F-MIA@MOF-5. MIA embedded in either of the two MOFs shows limited depolarization on the ns to µs scale, indicating constrained rotational motion and/or resonance energy transfer to chromophores in close vicinity.
Due to the high symmetry of the cubic MOF-5 crystal for the x,y z directions defined the crystal parameters, it is feasible and appropriate to assume an identical rotation of the transition dipole moment of the MIA chromophore using the normalized rotation vector of the crystal
in an angle axis representation that rotates the S0-S1 absorption transition dipole moment
A of the chromophore with crystal axis
C by an angle ω
CA. For a cube, the directions of the four potential rotation vectors corresponds to the respective body diagonals. Since the body diagonals are equivalent, we consider in the following only one rotation vector. Using the experimental observables for 6F-MIA@MOF-5 (
(6F-MIA) = 0.56 (
Figure 6d panel 3) and
(
Figure 6d panel 2)) and for MIA@MOF-5 (
(MIA) = 0.6 (
Figure 6b panel 3) and
(
Figure 6b panel 2)), a unique solution for the average orientation of the TDM for absorption of all fluorescent species is obtained defined by the Euler angles
and
. i.e. the TDM is not oriented along one of the crystal axes. This confirms, that MOF-5 provides a suitable frame to incorporate flavins irrespective of their aggregation in defined average orientation.
((Note to referees:
Table 2 was completely revised and has become
Table 3. For clarity this revision is not indicated by track-changes. Please compare to previous version of
Table 2 above.))
Table 3.
Photophysical data for MIA, 6F-MIA and the flavin@MOF composites with λexc = 405 nm (TCSPC) or 440 nm (confocal MFIS) at room temperature (RT) unless indicated otherwise.
Table 3.
Photophysical data for MIA, 6F-MIA and the flavin@MOF composites with λexc = 405 nm (TCSPC) or 440 nm (confocal MFIS) at room temperature (RT) unless indicated otherwise.
Compound |
λF,max [nm] a
|
τ1 (x1), τ2 (x2), τ3 (x3) [ns] b
|
τF [ns] b
|
τx [ns] b
|
xsq g
|
ΦF [%] c
|
MIA in solution:
DCM/MeOH (RT)
DCM/MeOH (77K)h
water
|
527 d 487/513 524 e
|
10.2 (0.20), 6.1 (0.62), 2.9 (0.19) 7.5 (1) 5.0 (1) |
7.1 7.5 5.0 |
6.3 d 7.5 5.0 e
|
|
28 d 54 22 e
|
MIA solid |
555, theo: 540 f
|
3.5 (0.01), 0.8 (0.12), 0.2 (0.87) |
0.8 |
0.3 |
|
< 2 |
0.4 wt% MIA@MIL-53 |
523 |
7.2 (0.22), 4.0 (0.51), 1.7 (0.27) |
5.0 |
4.1 |
|
15 |
3.9 wt% MIA@MIL-53 |
527, theo: 509 f
|
7.6 (0.17), 4.0 (0.51), 1.3 (0.32) 6.2 (0.13), 2.5 (0.33), 0.7 (0.53) g
|
4.9 3.6 g
|
3.7 2.1 g
|
0.87 g
|
11 |
0.85 wt% MIA@MOF-5 |
533, theo: 528 f
|
9.5 (0.10), 4.2 (0.55), 1.3 (0.35) 8.6 (0.10), 3.2 (0.65), 1.3 (0.24) g
|
5.1 4.7 g
|
3.7 3.3 g
|
0.79 g
|
6 |
6F-MIA in solution:
DCM/MeOH (RT)
DCM/MeOH (77K)h
water
|
530 d 486/514 533 e
|
4.6 (0.17), 3.4 (0.83), -- 3.1 (0.59), 6.0 (0.41) 3.6 (1) e
|
3.6 4.7 3.6 |
3.6 d 4.3 3.6 e
|
|
13 d 26 12 e
|
6F-MIA solid |
527 |
0.5 (0.01), 0.2 (0.05), 0.05 (0.94) |
0.1 |
0.06 |
|
< 2 |
0.1 wt% 6F-MIA@MIL-53 |
534 |
5.9 (0.13), 2.6 (0.46), 0.8 (0.41) |
3.4 |
2.3 |
|
5 |
1.5 wt% 6F-MIA@MIL-53 |
538 |
6.7 (0.09), 2.5 (0.36), 0.6 (0.55) 6.7 (0.07), 2.4 (0.39), 0.8 (0.53) g
|
3.5 3.2 g
|
1.9 1.9 g
|
0.87 g
|
3 |
27.6 wt% 6F-MIA@MOF-5 |
510 |
7.0 (0.12), 3.2 (0.59), 0.8 (0.29) 6.2 (0.21), 2.6 (0.70), 1.1 (0.09) g
|
4.1 4.0 g
|
3.0 3.2 g
|
0.79 g
|
8 |
Figure 6.
Images of MIA and 6F-MIA in two MOFs obtained by confocal multi-parameter fluorescence image spectroscopy (MFIS) (see methods) for fluorescence weighted average lifetime (panel 1), experimental steady state fluorescence anisotropy r, (panel 2) and their interrelation in the 2D diagram (panel 3) and time-resolved fluorescence anisotropy curves r(t) (panel 4) to resolve the fundamental anisotropy r0 and the depolarization time τdepol that are displayed in the individual right panels. (a) MIA@MIL-53 (3.9 wt%), (b) MIA@MOF-5, (c) 6F-MIA@MIL-53 (1.5 wt%) and (d) 6F-MIA@MOF-5. For flavin@MOF-5 five slices in the center of the z-stack were selected to generate the decay histograms, for flavin@MIL53 all photons from the images were used. The acquisition conditions were λex = 440 nm (pulsed@32MHz, objective UPLSAPO10X/0.4NA for MIL-53 and objective UPLSAPO20X/0.75NA for MOF-5), λF = 502-538 nm, under air.
Figure 6.
Images of MIA and 6F-MIA in two MOFs obtained by confocal multi-parameter fluorescence image spectroscopy (MFIS) (see methods) for fluorescence weighted average lifetime (panel 1), experimental steady state fluorescence anisotropy r, (panel 2) and their interrelation in the 2D diagram (panel 3) and time-resolved fluorescence anisotropy curves r(t) (panel 4) to resolve the fundamental anisotropy r0 and the depolarization time τdepol that are displayed in the individual right panels. (a) MIA@MIL-53 (3.9 wt%), (b) MIA@MOF-5, (c) 6F-MIA@MIL-53 (1.5 wt%) and (d) 6F-MIA@MOF-5. For flavin@MOF-5 five slices in the center of the z-stack were selected to generate the decay histograms, for flavin@MIL53 all photons from the images were used. The acquisition conditions were λex = 440 nm (pulsed@32MHz, objective UPLSAPO10X/0.4NA for MIL-53 and objective UPLSAPO20X/0.75NA for MOF-5), λF = 502-538 nm, under air.
2.4. QM/MM excited state computations
In the neat MIA crystal [
60], we can identify two orientations of stacked neighboring molecules (
Figure 7). In one orientation, π-stacking interactions occur between the terminal phenyl and the central and terminal ring of two adjacent MIA molecules (molecule no. 1 and 2 in
Figure 7) with a centroid-centroid separation of 3.518 and 3.589 Å. The other π-stacking orientation involves only the terminal phenyl rings of two adjacent MIA molecules (no. 2 and 3) at a centroid-centroid distance of 3.561 Å.
Due to the different π-stacking modes in the crystal of neat MIA, QM/MM geometry optimizations of ground and excited state structures had to include at least three MIA molecules for a sensible description of interactions with all direct neighbors (see Section S6.1). Compared to the single MIA chromophore in vacuum (λ
abs, max = 401 nm), the calculated maximum absorption value in the crystal is 441 nm, thus significantly red-shifted. The calculated emission from S
1 state in the crystal occurs at ca. 540 nm, compared to ca. 555 nm in the solid-state experiment and 505 nm for MIA calculated in vacuum (
Table 3) with a calculated small oscillator strength (f = 0.025) and an emission rate constant of 5.87·10
6 s
–1. While for the single MIA molecule S
1 corresponds to a locally π-excited state, orbital analysis for the three-molecule MIA complex reveals a dominating charge-transfer character. Here, electron density is relocated between the two molecules that overlap with two aromatic rings (number 1 and 2 in
Figure 7). This is the main reason for the loss in fluorescence emission intensity in the crystalline state.
Optimization of MIL-53-lp with QuantumEspresso (QE) revealed essentially the same results as the experimental structures (
Table S3). Compared to the reported orthorhombic large-pore form MIL-53-lp (CCDC 220476 [
41]) the computed guest-free MIL-53-lp structure after optimization has nearly the same cell axes lengths within 0.7 Å (
Figure S39,
Table S3). With one MIA molecule per unit cell, the structure becomes more similar to the reported narrow-pore form (
Figure S40,
Table S3). A variation of lattice parameters upon adsorption in MIL-53 was also seen e.g. upon loading with xylene isomers [
63], short linear alkanes [
64] or methane [
65].
The position of the MIA molecule is optimized with its length along the channel direction and close to the center of the channel (
Figure 8). There are no evident short and strong supramolecular interactions but the MIA molecule is held in place by weak C-H···O, C-H···p, C-H···C, N-H···O, O-H···O and O-H···C interactions. Even the N-H···O and O-H···O contacts have rather long H···X distances above 2.5 Å (
Figure 8).
For neat MOF-5, we note a slight compression of the unit cell constants upon optimization by ca. 0.2 Å in each direction, compared to the exp. values [
51,
58]. The cell size does not significantly change when MIA is inserted. Due to the tilted arrangement of the phenyl rings, MOF-5 offers two different types of cages to host the MIA chromophore (
Figure 9a). In one cage, the hydrogen atoms of the phenyl linkers point inwards toward the center of the pore (left pore with orange sphere in
Figure 9a,b). We refer to this possibility as
inward-cage. In the second alternative, the hydrogen atoms of the phenyls face
outwards, thus offering a wider pore (right pore with green sphere in
Figure 9a,c and pore in
Figure S14d). The energy for MIA incorporated in the
inward-cage is ca. 15.3 kJ/mol lower than in the
outward-cage because of increased attractive van-der-Waals interactions. The computed binding energy of MIA is ca. 49 kJ/mol in the
inward-complex and ca. 35 kJ/mol in the
outward-configuration, suggesting that complexation in the
inward-cage is preferred. There is, however, no evident supramolecular interaction in either case. The MIA molecule is computed in the center of the pores, along the horizontal channel direction (
Figure 9b,c). All distances from MIA to the framework walls are larger than 3.0 Å, except for two C-H···H-C contacts in the
inward-cage position (
Figure 9b) with an H···H distance of 2.5-2.6 Å. The next-nearest distances are four C-H···O contacts of ~3.2 Å, also in the
inward-cage position.
In the MIA@MIL-53 complex, the ground state QM/MM optimization converges to essentially the same structure as with plane-wave methods. The lowest excitation wavelength is 414 nm with an oscillator strength f of 0.265 and local π-excitation character, corresponding to HOMO-LUMO excitation. The computed emission wavelength from the S
1 state is 509 nm (f = 0.209) (
Figure 10) with an emission rate constant of 5.39·10
7 s
–1, about ten times larger than in the neat MIA crystal. The absorption and emission wavelength values are slightly blue-shifted with respect to the experimental measurement (523 to 527 nm, depending on the MIA wt%). The oscillator strength compares well with the value for MIA in vacuum (f = 0.243), demonstrating that the MOF environment efficiently increases fluorescence emission by preventing quenching due to π-stacking.
For MOF-5, we find no significant change in absorption and emission wavelength values depending on the mode of complexation. In the more stable inward form, maximum wavelength absorption occurs at 402 nm (f = 0.305), while emission from S1 is at 502 nm (f = 0.238) with a rate constant of 6.30·107 s–1. Similar to MIL-53, the S1-excitation shows the same characteristics as in vacuum.