Abstract
We report the characterization of rotaxanes based on a carbazole‐benzophenone thermally activated delayed fluorescence luminophore. We find that the mechanical bond leads to an improvement in key photophysical properties of the emitter, notably an increase in photoluminescence quantum yield and a decrease in the energy difference between singlet and triplet states, as well as fine tuning of the emission wavelength, a feat that is difficult to achieve when using covalently bound substituents. Computational simulations, supported by X‐ray crystallography, suggest that this tuning of properties occurs due to weak interactions between the axle and the macrocycle that are enforced by the mechanical bond. This work highlights the benefits of using the mechanical bond to refine existing luminophores, providing a new avenue for emitter optimization that can ultimately increase the performance of these molecules.
Keywords: luminescence, mechanical bond, rotaxane, supramolecular chemistry, TADF
We report rotaxanes containing a carbazole‐containing TADF luminophore in which the mechanical bond improves key photophysical properties, including the photoluminescence quantum yield and the singlet–triplet energy gap (ΔE ST). Computational simulations, supported by X‐ray crystallography, suggest this is due to weak interactions between the axle and macrocycle, enforced by the mechanical bond.
Introduction
Organic compounds exhibiting thermally activated delayed fluorescence (TADF) have enjoyed tremendous recent attention due to their ability to undergo efficient spin state changes between the low‐lying excited states. This has led to TADF compounds being exploited as emitters in organic light emitting diodes (OLEDs), [1] where they enable both singlet and triplet excitons to be harvested to achieve high efficiency, as well as photocatalysts for photoredox‐based organic transformations, [2] sensors [3] and as bio‐imaging agents. [4]
One of the major challenges in the optimization of TADF emitters is the inherent contradiction in the parameters that determine their photophysical properties. [5] TADF is the result of two successive processes: reverse intersystem crossing (rISC) from the lowest excited triplet (T1) to the lowest excited singlet state (S1), followed by the emission from S1 to the ground state (S0). The efficiency of the former can be increased by decreasing the singlet‐triplet energy gap, ΔE ST, which is itself governed by the exchange integral between the HOMO and LUMO; [1a] a smaller overlap of the electron density distributions of these two orbitals leads to a smaller ΔE ST. However, the rate of emission from S1 is proportional to the overlap between these two orbitals. Thus, upon first inspection, it appears paradoxical to maximize the efficiencies of both simultaneously.
The rate of rISC, characterised by the rate constant k rISC, increases exponentially as ΔE ST decreases. [1b] In purely organic TADF compounds, a small ΔE ST is accomplished by spatially separating the orbitals involved in the lowest excited state which minimises the effect of Pauli repulsion (exchange) interactions. [6] The most common molecular design to achieve this relies upon donor‐acceptor (D‐A) architectures, where the HOMO is localized on the donor and the LUMO is localized on the acceptor, resulting in S1 and T1 excited states that are predominantly intramolecular charge‐transfer (CT) in character. [7] Several strategies to modulate the overlap between the two frontier molecular orbitals (FMOs) have been successfully applied, including inducing a large torsion between the D and A units by insertion of bulky substituents,[ 5b , 6 , 8 ] inserting spiro‐junctions, [9] and physically separating the FMOs through a homo‐junction that allows through‐space interaction of the HOMO and LUMO. [10]
The challenge of enhancing k rISC by decreasing ΔE ST whilst maintaining sufficient k r, to give high photoluminescence quantum yield, ΦPL, has motivated a significant amount of experimental [11] and computational [12] work focused on both elucidating and resolving the complex interplay between the photophysical properties of TADF materials. This has demonstrated, with the exception of multi‐resonance emitters, [13] the importance of the rotational freedom around the D‐A bond to permit vibronic coupling between T1 and other low lying triplet excited states which aids rISC to the S1 state, combined with a near 90° mean dihedral angle between donor and acceptor to minimise ΔE ST.
Designing TADF emitters with the required fine structural control is not trivial. Many publications have focused on either using covalent modifications, such as substitution to enhance steric hindrance, [14] or non‐covalent interactions [15] to modify the conformational preferences of the D‐A bond. An alternative and as yet unexplored approach is to use the crowded, flexible environment of the mechanical bond in mechanically interlocked molecules (MIMs) [16] such a rotaxanes to influence the properties of a TADF luminophore, although this approach has been used to influence the properties of other radiative processes. [17] Indeed, the investigation of MIMs has expanded dramatically over the last half‐century, thanks largely to the development of high yielding, flexible synthetic methodologies [16] that make them available for study in a range of areas including as sensors [18] and catalysts, [19] as well as their well‐known role as components of molecular machines. [20] Herein we report a series of carbazole‐benzophenone‐based rotaxanes that demonstrate the ability of the environment provided by the macrocycles threaded close to the emitting core to fine‐tune the photophysical properties of a TADF‐active axle in solution and thin films. [21]
Results and Discussion
Synthesis of Interlocked TADF Emitters
The design of prototypical interlocked TADF emitters [2]rotaxane 1⊂2 and [3]rotaxane 1⊂2 2 (Figure 1 a) was based on the carbazole‐benzophenone system developed by Zysman‐Colman and co‐workers. [22] The rotaxanes were synthesised in good yield using an active template [23] Cu‐mediated azide‐alkyne cycloaddition (AT‐CuAAC) [24] reaction between a benzophenone (BP) substituted carbazole (Cz) bis‐alkyne core and a bulky benzylic azide in the presence of macrocycle 2 [25] (see ESI for details, Scheme S2). Non‐interlocked axle 1 was synthesized using the CuAAC [26] reaction in the absence of macrocycle 2. 1H NMR analysis of the purified products revealed the expected differences between the non‐interlocked and interlocked emitters (Figure 1 b); [24c] triazole (Tz) protons in regions of the axle encircled by a macrocycle (He) are significantly deshielded relative to the non‐interlocked components and other resonances arising from both the encircled region of the axle and macrocycle components (e.g. Hf, HG and HH) are shifted to lower ppm.
Single‐crystal X‐ray diffraction analysis of [2]rotaxane 1⊂2 [37] suggests that, in keeping with previous reports, [24c] the high ppm chemical shift of the encircled triazole protons is due to CH⋅⋅⋅N hydrogen bonds to the bipyridine N atoms (Figure 1 c). In addition, a network of weak C−H⋅⋅⋅π, C−H⋅⋅⋅N and C−H⋅⋅⋅O contacts between the macrocycle and axle are observed in the solid state. Viewed in a spacefill representation, it is clear that the macrocycle impinges significantly on the Cz fragment but does not interact with the BP unit, suggesting that any changes in the photophysical properties of the interlocked structures relative to the non‐interlocked axle are likely to arise from modulation of the properties of the donor unit.
Photophysical Properties of 1, 1⊂2 and 1⊂22
All three emitters exhibited the expected CT UV/Vis absorption band, which is slightly and progressively red‐shifted with each additional macrocycle encircling the axle (Figure 2 a). The same trend was observed in the broad, steady‐state photoluminescence (PL) spectra, with a more pronounced shift in the emission maxima, λ PL, from 449 nm to 477 nm and 484 nm, for 1, 1⊂2 and 1⊂2 2, respectively (Figure 2 b). A bathochromic shift was also observed in more polar solvents, consistent with the emissive excited state having significant CT character (Figure S39). [27]
Rotaxanes 1⊂2 and 1⊂2 2 displayed higher ΦPL than the non‐interlocked axle 1 under both deoxygenated and ambient conditions (Table 1). ΦPL was lower in the presence of O2 as is expected for TADF‐active compounds, for which accessible triplet states play a key role. Prompt, τ p, and delayed, τ d, fluorescence lifetimes were obtained from time‐resolved PL decays (Figure 3 a). The average τ p and τ d values both increase from 1 to 1⊂2 to 1⊂2 2 (Table 1). Prompt fluorescence for 1⊂2 and 1⊂2 2 at 77 K still retains a CT character, while the structured phosphorescence observed is clearly locally excited (3LE) in nature (Figures 3 b–d); the prompt fluorescence for 1 at 77 K shows a mixed CT/LE character. The differences in molecular orbital type between S1 and T1 implies that direct rISC is possible between these two states according to El Sayed's rule. [28] The ΔE ST values calculated from the difference between the onset of the prompt fluorescence and phosphorescence emission in spectra measured at 77 K decreased from 0.25 eV for 1 to 0.23 eV for 1⊂2 and 0.21 eV for 1⊂2 2.
Table 1.
Entry |
|
1 |
1⊂2 |
1⊂22 |
---|---|---|---|---|
|
Photophysical measurements at 298 K |
|||
1 |
λ abs [nm][a] |
362 |
366 |
368 |
2 |
λ PL [nm][b] |
449 |
477 |
484 |
3 |
ΦPL (N2) [%][c] |
4 |
27 |
37 |
4 |
ΦPL (air) [%][d] |
4 |
22 |
25 |
5 |
τ p [ns][e] |
2.2 |
5.5 |
8.4 |
6 |
τ d [μs][e] |
0.3 |
0.8 |
2.0 |
|
Photophysical measurements at 77 K |
|||
7 |
λ PL [nm][f] |
440 |
450 |
460 |
8 |
λ PL [nm][g] |
481 |
488 |
493 |
9 |
E(S1) [eV][h] |
3.14 |
3.07 |
3.03 |
10 |
E(T1) [eV][i] |
2.89 |
2.84 |
2.82 |
11 |
ΔE ST [eV][j] |
0.25 |
0.23 |
0.21 |
|
Electrochemistry measurements |
|||
12 |
HOMO [eV][k] |
−5.62 |
−5.47 |
−5.41 |
13 |
LUMO [eV][l] |
−2.53 |
−2.52 |
−2.52 |
[a] UV/Vis absorption CT band maximum measured at 298 K in PhMe. [b] Steady‐state PL band maximum measured at 298 K in PhMe (λ exc=340 nm, 10−5 M). [c] ΦPL measured in PhMe (λ exc=360 nm) under N2. [d] ΦPL measured in PhMe (λ exc=360 nm) under air. [e] Average lifetime value obtained from time‐resolved PL decay spectra measured at 298 K in PhMe (λ exc=378 nm, 10−5 M). [f] Prompt fluorescence maximum measured at 77 K in PhMe (λ exc=343 nm, 10−5 M). [g] Phosphorescence maximum measured at 77 K in PhMe (λ exc=343 nm, 10−5 M). [h] Estimated from the onset of the prompt fluorescence spectrum measured at 77 K in PhMe. [i] Estimated from the onset of phosphorescence spectrum measured at 77 K. [j] ΔE ST=E(S1) − E(T1). [k] Determined from the oxidation potential observed by CV in MeCN (10−3 M). [l] Calculated from HOMO + E g.
Decreasing ΔE ST is very desirable for TADF. The decrease across the series superficially appears to contradict the increase in τ d as lower ΔE ST is expected to increase k rISC. This apparent contradiction can be resolved by considering that emission lifetimes depend on both the rate of emission and the rate of non‐radiative decay, which both deplete the excited state population. The higher ΦPL of 1⊂2 and 1⊂2 2 compared with 1 despite the longer measured lifetimes suggests that the mechanical bond serves to supress non‐radiative decay, outweighing the effect of any increase in k rISC on the emission lifetime. This effect of the mechanical bond appears to extend to the photostability of the compounds; upon continuous irradiation at 325 nm of an aerated toluene solution the emission spectra of 1 evolved to one that contained a more pronounced LE character, which implies photodegradation of the emitter, whereas the emission profiles of rotaxanes 1⊂2 and 1⊂2 2 saw only a modest decrease in intensity over the same period (Figure S38). [29]
The HOMO and LUMO levels of 1, 1⊂2 and 1⊂2 2 were determined by cyclic voltammetry (CV) and differential pulse voltammetry (DPV) in MeCN (Table 1). The Cz‐centred oxidation waves and BP‐centred reduction waves were found to be reversible for all three molecules (Figure S39). The oxidation potentials, E 1/2 ox, for 1 (1.20 V), 1⊂2 (1.05 V) and 1⊂2 2 (0.99 V) and the corresponding trend in the HOMO levels are consistent with the bathochromic shift observed in both the absorption and PL spectra. The reduction potentials, E red, for 1 (−1.72 V), 1⊂2 (−1.74 V) and 1⊂2 2 (−1.75 V) are very similar, suggesting that the LUMO levels are largely unaffected by the mechanical bond, consistent with the solid‐state structure of 1⊂2 that suggests there is little interaction between the BP acceptor with the macrocycle components of the rotaxanes.
Computational Modelling of 1, 1⊂2 and 1⊂22
To aid in the interpretation of the photophysical and electrochemical data, and shed light on the role of the mechanical bond in determining the properties of 1, 1⊂2 and 1⊂2 2, density functional theory (DFT) and ab initio molecular dynamics (MD) simulations were performed using the Q‐Chem[30] and Terachem [31] softwares, respectively. Consistent with previous results, [22] DFT (PBE0) [32] analysis of the lowest energy conformer of the ground state (S0) structures found the HOMO to be centred on the Cz donor moiety in all three cases, with the LUMO centred on the BP acceptor unit (Figure 4). In all structures, both triazole moieties were also found to contribute to the HOMO. The calculated HOMO/LUMO energy levels (Table 2) agree well with those measured by electrochemistry and, importantly, reproduce the trend for an increasing red‐shift in the CT absorption maximum (λ abs 1>1⊂2>1⊂2 2).
Table 2.
Entry |
|
1 |
1⊂2 |
1⊂22 |
---|---|---|---|---|
|
Ground state geometry |
|||
1 |
HOMO [eV] |
−5.41 |
−5.14 |
−5.09 |
2 |
LUMO [eV] |
−1.71 |
−1.65 |
−1.65 |
3 |
S1 (f) [eV][a] |
3.17 (0.316) |
3.00 (0.272) |
2.91 (0.271) |
4 |
T1 [eV] |
2.83 |
2.70 |
2.63 |
5 |
T2 [eV] |
3.11 |
3.10 |
3.10 |
|
Excited state (S1) geometry |
|||
6 |
S1 (f) [eV][a] |
2.33 (0.000) |
2.06 (0.000) |
1.99 (0.000) |
7 |
T1 [eV] |
2.32 |
2.06 |
1.99 |
8 |
T2 [eV] |
2.74 |
2.78 |
2.79 |
[a] Values in parentheses refer to the oscillator strength of the S0–S1 transition.
The calculations also shed light on the origin of this effect. Whereas the LUMO energy levels are largely unaffected by the mechanical bond, the HOMO is destabilised due to a hydrogen bond between the bipyridine N donors and the C−H of the triazole, as observed in the solid‐state structure of 1⊂2. This serves to increase the donation of electron density from the triazole units to the carbazole core and accounts for the large difference in HOMO level (0.27 eV) between 1, which lacks this interaction, and 1⊂2, and also the less pronounced difference (0.06 eV) between 1⊂2 and 1⊂2 2.
Bond lengths and angles in the S0 state were remarkably similar for all three emitters. The Cz‐BP bond was found to vary between 1.403 and 1.406 Å and minima at 40° and 140° were found when the Cz‐BP dihedral was scanned, with a relatively low barrier (≈0.1 eV) to conformational exchange (Figure S48). The most striking structural difference between 1⊂2 and 1⊂2 2 is that the Tz units of the latter adopt a syn‐syn orientation whereas those of 1⊂2 preferentially adopt a syn‐anti arrangement, the syn oriented unit being that encircled by the macrocycle. [33] This difference can be explained by observing that the syn conformation of Tz units minimises steric repulsion between an encircling macrocycle and the Cz unit. A syn‐anti preference was also observed in the case of axle 1 as this minimises repulsion between the dipoles associated with the Tz rings. [34] In all cases the Cz‐Tz distance was found to be identical (1.46 Å).
Models of the excited S1 state revealed a number of important changes. Firstly, in all cases, the Cz‐BP dihedral angle of the lowest energy conformation was found to be ≈90° and the Cz‐BP bond lengthened (1.44 Å), consistent with a slight weakening of this bond, as is typically observed in D‐A TADF emitters. [35] In the excited state structures of 1 and 1⊂2, one of the Cz‐Tz bonds was found to contract (Δ=0.022 and 0.029 Å, respectively) while the other remained largely unchanged, causing the electron density on the donor to exhibit a slight asymmetry. In contrast the Cz‐Tz bonds of 1⊂2 2 both contracted but remained very similar (1.442 and 1.447 Å). In all cases, both Cz‐Tz dihedral angles were reduced in S1 compared with S0, consistent with increased donation from the Tz moieties to the Cz core in the excited state.
In the ground state geometry, time dependent‐DFT (TD‐DFT) calculations of 1 identified two triplet states below the S1 energy level, both of which exhibit a mixed 3CT and acceptor‐based 3LE character (Table 2). For 1⊂2 and 1⊂2 2 the acceptor‐based 3LE appears slightly above the S1 state. This presence of a 3LE state is common for high performance TADF emitters [11a] and consistent with the structured luminescence spectra (Figure 3). At the excited state geometry, TD‐DFT calculations found that the lowest S1 and T1 states exhibit pure CT character. Although the 3LE triplet state lies ≈0.3 eV higher in energy, it is expected that this gap is overestimate due to the challenges associated with TD‐DFT calculations predicting the absolute energy of CT states. [36] The oscillator strength (f) for the S1‐S0 transition was calculated to be 0.316, 0.272 and 0.271 for 1, 1⊂2 and 1⊂2 2 respectively at the ground state geometry but fell to 0 for all structures in their computed excited state geometry. Given that we experimentally observed photoluminescence with a μs lifetime in all cases, we set out to explore the role of molecular flexibility on the photophysical properties using ab initio MD simulations.
Simulations were performed over 10 ps (Figure S47) in both the ground (S0) and emissive excited state (S1) to investigate the dynamic properties of the emitters. In keeping with the DFT results, comparable average values of D‐A bond length were found for 1, 1⊂2 and 1⊂2 2 in both the ground and excited states, confirming this value is unaffected by the mechanical bond. Similarly, in the ground state, peaks were found in the distribution of Cz‐BP dihedral angles at ≈40° and 140°, in keeping with the low barrier to conformational exchange predicted above. In contrast, in the excited state, the distribution of the Cz‐BP dihedral angle is subtly influenced by the interlocked macrocycles, indicated by a mean and standard deviation of 89±17°, 90±14° and 90±11°, observed for 1, 1⊂2 and 1⊂2 2, respectively. Although subtle, the reduced standard deviation observed upon adding the macrocycle is indicative of a slight rigidification of this conformational mode due to the ability of the encircling macrocycles to exert fine conformational control of the excited state dynamics. A similar effect is also observed for the dihedral angle between the Cz and Tz moieties, which is 3±16° for 1, 2±11° (encircled) and 5±17° (free) for 1⊂2 and 2±6° for 1⊂22. Note, for 1⊂2 we report two dihedral angles and only the one encircled by the macrocycle is altered relative to the axle alone.
The cumulative effect of the subtle dynamic differences enforced by the mechanical bond can be observed in the key parameters defining TADF performance, namely ΔE ST and the average oscillator strength for the S1→S0 transition (fS1). Firstly, the trend in the mean Cz‐BP dihedral angles found by MD leads to an energy gap between the 1CT and 3CT states, which follows the trend 1>1⊂2>1⊂2 2 as angles closer to 90° are associated with reduced splitting between states of the same character. Although the reduction of ΔE ST observed experimentally is between the 1CT and 3LE and due to the stronger electron donating strength introduced by the rotaxanes, the reduced gap between the two CT states is still expected to increase k rISC. [12b] Secondly, narrowing of the distribution of dihedral angles around 90° for Cz‐BP bond is expected to decrease the overall oscillator strength for the S1→S0 transition. Indeed, the average values of fS1 determined by ab initio MD are 0.0260, 0.0095 and 0.0088 for 1, 1⊂2 and 1⊂2 2 respectively, meaning that although the rotaxanes have reduced ΔE ST, they retain enough oscillator strength to be efficient emitters. Finally, the more conformationally restricted molecular framework, as indicated by narrower distribution of the Cz‐BP and Cz‐Tz dihedral angles, could also be expected to decrease the rate of non‐radiative decay and so lead to a higher photoluminescence quantum yield, consistent with the 1>1⊂2>1⊂2 2 trend observed.
Luminescent Properties of 1, 1⊂2 and 1⊂22 in Thin Films
We next performed a preliminary photophysical investigation to determine whether the effect of the mechanical bond was maintained in thin films. Spin‐coated 10 wt % doped films were prepared from chlorobenzene solutions of the three emitters with poly(methyl methacrylate) (PMMA) (Table 3).
Table 3.
Entry |
|
1 |
1⊂2 |
1⊂22 |
---|---|---|---|---|
|
10 wt % PMMA |
|||
1 |
λPL [nm][a] |
450 |
458 |
463 |
2 |
ΦPL (N2) [%][b] |
6 |
23 |
29 |
3 |
ΦPL (air) [%][c] |
5 |
18 |
21 |
4 |
τ p [ns][d] |
5.0 |
5.4 |
6.3 |
5 |
τ d [μs][d] |
94 |
152 |
206 |
[a] Steady‐state PL band maximum measured at 77 K of 10 wt % PMMA film (λ exc=343 nm). [b] Absolute ΦPL of 10 wt % PMMA film measured using an integrating sphere under N2 atmosphere. [c] Absolute ΦPL of 10 wt % PMMA film measured using an integrating sphere under air. [d] Average lifetime value obtained from time‐resolved PL decay spectra measured at 298 K of 10 wt % PMMA film (λ exc=378 nm).
Although the emission of the 1, 1⊂2 and 1⊂2 2 in PMMA films was blue‐shifted compared to the PL spectra in PhMe, a similar red‐shift was also observed along the series (Figure 5 a), which suggests that the hydrogen bonds between the bipyridine unit and the Tz moieties are maintained in the film. The shift in emission wavelength increased incrementally with each additional interlocked macrocycle. The PL spectra of the PMMA films are sharper than those in solution, as would be expected in a rigid medium that reduces both conformational freedom and inhibits reorganization of the system. As with the solution‐state measurements, τd progressively increases from 1 to 1⊂2 and 1⊂2 2 (Figure 5 b).
Finally, the effect of the mechanical bond was maintained in different host media. Replacing PMMA with bis[2‐(diphenylphosphino)phenyl] ether oxide (DPEPO) or 1,3‐bis(N‐carbazolyl)benzene (mCP) gave qualitatively similar results (see ESI for details); a progressive red‐shift was observed across both series, with a corresponding decrease in ΔE ST. TADF was observed in all hosts.
Conclusion
We have designed and synthesized a series of carbazole‐benzophenone‐based TADF emitters, two of which are mechanically interlocked. The electrochemical and photophysical properties of these molecules were mainly investigated in solution, with the conclusion that the mechanical bond can tune important properties of such TADF emitters. First, we find that the mechanical bond leads to a large increase in photoluminescence quantum yield, which is a very important property for light‐emitting materials. Second, we find that the mechanical bond reduces ΔE ST, which is highly desirable for TADF OLED emitters because it facilitates harvesting of triplet excitons. Third, the mechanical bond increases the photostability of the emitters under continuous UV excitation. Fourth, the mechanical bond provides a way of fine‐tuning the HOMO energy level, making it shallower, an adjustment that would facilitate hole injection in OLEDs. Fifth, we find that it leads to fine‐tuning of the emission spectrum, moving it slightly to the red, thereby providing a way of optimising the emission colour. Our DFT and ab initio MD simulations show that the fine‐tuning of the HOMO energy, shift in emission energy and reduction in the flexibility of the molecule is caused by weak interactions between the bipyridine N donors and the C−H of the triazole. They also demonstrate that the mechanical bond subtly alters the conformation of the TADF‐active axle, which reduces the energy gap between the two CT states and decreases the oscillator strength of the S1 state, key parameters defining TADF performance. The effects on the TADF parameters were maintained in thin films, reinforcing the hypothesis that the mechanical bond can be exploited to optimize the efficiency of such emitters.
Given the exceptional interest TADF emitters have recently gained, combined with increasing availability of rotaxanes and other mechanically interlocked molecules, the use of the mechanical bond to engineer existing and novel luminophores is a promising approach for TADF emitter optimization and, ultimately, a new approach for increasing device efficiency. In addition, given that modern computational chemistry is able to simulate the properties of these large structures to predict trends and provide insights on the origin of proposed effects, it should be possible to generate predictive data for future targets.
The research data underpinning this publication can be accessed at https://doi.org/10.17630/e7f5c0f6‐7acd‐4594‐8972‐a095170ca213.
Conflict of interest
The authors declare no conflict of interest.
Supporting information
Acknowledgements
P.R. acknowledges support from a Marie Skłodowska‐Curie Individual Fellowship (MCIF; No. 749557). E.Z.‐C. thanks the Leverhulme trust for support (RPG‐2016‐047). T.J.P. acknowledges the EPSRC (EP/P012388/1, EP/T022442/1) for support. E.Z.‐C. and I.D.W..S acknowledge support from EPSRC (EP/L017008, EP/P010482/1). SMG thanks the European Research Council (Consolidator Grant Agreement no. 724987) and the Leverhulme Trust (ORPG‐2733) for funding and the Royal Society for a Wolfson Research Fellowship. W.L. acknowledges support from China Scholarship Council (201708060003). The authors thank Drs Peter Horton and Graham Tizzard of the National Crystallographic Service for assistance with X‐ray diffraction analysis. A.K.G. is thankful to the Royal Society for Newton International Fellowship NF171163. We are also grateful for financial support from the University of St Andrews Restarting Research Funding Scheme (SARRF), which is funded through the Scottish Funding Council grant reference SFC/AN/08/020.
P. Rajamalli, F. Rizzi, W. Li, M. A. Jinks, A. K. Gupta, B. A. Laidlaw, I. D. W. Samuel, T. J. Penfold, S. M. Goldup, E. Zysman-Colman, Angew. Chem. Int. Ed. 2021, 60, 12066.
A previous version of this manuscript has been deposited on a preprint server (https://doi.org/10.26434/chemrxiv.13696483.v1).
Contributor Information
Prof. Ifor D. W. Samuel, Email: idws@st-andrews.ac.uk.
Dr. Thomas J. Penfold, Email: tom.penfold@newcastle.ac.uk.
Prof. Stephen M. Goldup, Email: s.goldup@soton.ac.uk.
Prof. Eli Zysman‐Colman, Email: eli.zysman-colman@st-andrews.ac.uk.
References
- 1.
- 1a. Wong M. Y., Zysman-Colman E., Adv. Mater. 2017, 29, 1605444; [DOI] [PubMed] [Google Scholar]
- 1b. Liu Y., Li C., Ren Z., Yan S., Bryce M. R., Nat. Rev. Mater. 2018, 3, 18020. [Google Scholar]
- 2.
- 2a. Speckmeier E., Fischer T. G., Zeitler K., J. Am. Chem. Soc. 2018, 140, 15353; [DOI] [PubMed] [Google Scholar]
- 2b. Yu Z.-J., Lou W.-Y., Junge H., Päpcke A., Chen H., Xia L.-M., Xu B., Wang M.-M., Wang X.-J., Wu Q.-A., Lou B.-Y., Lochbrunner S., Beller M., Luo S.-P., Catal. Commun. 2019, 119, 11. [Google Scholar]
- 3.
- 3a. Lee Y. H., Jana S., Lee H., Lee S. U., Lee M. H., Chem. Commun. 2018, 54, 12069; [DOI] [PubMed] [Google Scholar]
- 3b. Tonge C. M., Paisley N. R., Polgar A. M., Lix K., Algar W. R., Hudson Z. M., ACS Appl. Mater. Interfaces 2020, 12, 6525. [DOI] [PubMed] [Google Scholar]
- 4.
- 4a. Zhu Z., Tian D., Gao P., Wang K., Li Y., Shu X., Zhu J., Zhao Q., J. Am. Chem. Soc. 2018, 140, 17484; [DOI] [PubMed] [Google Scholar]
- 4b. Zhang Q., Xu S., Li M., Wang Y., Zhang N., Guan Y., Chen M., Chen C.-F., Hu H.-Y., Chem. Commun. 2019, 55, 5639; [DOI] [PubMed] [Google Scholar]
- 4c. Crucho C. I. C., Avó J., Nobuyasu R., Pinto S. N., Fernandes F., Lima J. C., Berberan-Santos M. N., Dias F. B., Mater. Sci. Eng. C 2020, 109, 110528. [DOI] [PubMed] [Google Scholar]
- 5.
- 5a. Endo A., Sato K., Yoshimura K., Kai T., Kawada A., Miyazaki H., Adachi C., Appl. Phys. Lett. 2011, 98, 083302; [Google Scholar]
- 5b. Uoyama H., Goushi K., Shizu K., Nomura H., Adachi C., Nature 2012, 492, 234. [DOI] [PubMed] [Google Scholar]
- 6. Kaji H., Suzuki H., Fukushima T., Shizu K., Suzuki K., Kubo S., Komino T., Oiwa H., Suzuki F., Wakamiya A., Murata Y., Adachi C., Nat. Commun. 2015, 6, 8476. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 7. Yang Z., Mao Z., Xie Z., Zhang Y., Liu S., Zhao J., Xu J., Chi Z., Aldred M. P., Chem. Soc. Rev. 2017, 46, 915. [DOI] [PubMed] [Google Scholar]
- 8.
- 8a. Zhang Q., Li B., Huang S., Nomura H., Tanaka H., Adachi C., Nat. Photonics 2014, 8, 326; [Google Scholar]
- 8b. Nobuyasu R. S., Ward J. S., Gibson J., Laidlaw B. A., Ren Z., Data P., Batsanov A. S., Penfold T. J., Bryce M. R., Dias F. B., J. Mater. Chem. C 2019, 7, 6672; [Google Scholar]
- 8c. Wang K., Zheng C.-J., Liu W., Liang K., Shi Y.-Z., Tao S.-L., Lee C.-S., Ou X.-M., Zhang X.-H., Adv. Mater. 2017, 29, 1701476; [DOI] [PubMed] [Google Scholar]
- 8d. Cui L.-S., Nomura H., Geng Y., Kim J. U., Nakanotani H., Adachi C., Angew. Chem. Int. Ed. 2017, 56, 1571; [DOI] [PubMed] [Google Scholar]; Angew. Chem. 2017, 129, 1593. [Google Scholar]
- 9. Nakagawa T., Ku S.-Y., Wong K.-T., Adachi C., Chem. Commun. 2012, 48, 9580. [DOI] [PubMed] [Google Scholar]
- 10.
- 10a. Kawasumi K., Wu T., Zhu T., Chae H. S., Van Voorhis T., Baldo M. A., Swager T. M., J. Am. Chem. Soc. 2015, 137, 11908; [DOI] [PubMed] [Google Scholar]
- 10b. Spuling E., Sharma N., Samuel I. D. W., Zysman-Colman E., Bräse S., Chem. Commun. 2018, 54, 9278. [DOI] [PubMed] [Google Scholar]
- 11.
- 11a. Penfold T. J., Dias F. B., Monkman A. P., Chem. Commun. 2018, 54, 3926; [DOI] [PubMed] [Google Scholar]
- 11b. Hosokai T., Noda H., Nakanotani H., Nawata T., Nakayama Y., Matsuzaki H., Adachi C., J. Photonics Energy 2018, 8, 032102. [Google Scholar]
- 12.
- 12a. Lyskov I., Marian C. M., J. Phys. Chem. A 2017, 121, 21145; [Google Scholar]
- 12b. Gibson J., Monkman A. P., Penfold T. J., ChemPhysChem 2016, 17, 2956. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 13.
- 13a. Hatakeyama T., Shiren K., Nakajima K., Nomura S., Nakatsuka S., Kinoshita K., Ni J., Ono Y., Ikuta T., Adv. Mater. 2016, 28, 2777; [DOI] [PubMed] [Google Scholar]
- 13b. Zhang Y., Zhang D., Wei J., Liu Z., Lu Y., Duan L., Angew. Chem. Int. Ed. 2019, 58, 16912; [DOI] [PubMed] [Google Scholar]; Angew. Chem. 2019, 131, 17068. [Google Scholar]
- 14.
- 14a. Li B., Nomura H., Miyazaki H., Zhang Q., Yoshida K., Suzuma Y., Orita A., Otera J., Adachi C., Chem. Lett. 2014, 43, 319; [Google Scholar]
- 14b. Park I. S., Lee S. Y., Adachi C., Yasuda T., Adv. Funct. Mater. 2016, 26, 1813. [Google Scholar]
- 15.
- 15a. Rajamalli P., Chen D., Li W., Samuel I. D. W., Cordes D. B., Slawin A. M. Z., Zysman-Colman E., J. Mater. Chem. C 2019, 7, 6664; [Google Scholar]
- 15b. dos Santos P. L., Chen D., Rajamalli P., Matulaitis T., Cordes D. B., Slawin A. M. Z., Jacquemin D., Zysman-Colman E., Samuel I. D. W., ACS Appl. Mater. Interfaces 2019, 11, 45171; [DOI] [PubMed] [Google Scholar]
- 15c. Zhang Y., Miao Y., Song X., Gao Y., Zhang Z., Ye K., Wang Y., J. Phys. Chem. Lett. 2017, 8, 4808; [DOI] [PubMed] [Google Scholar]
- 15d. Chen X.-K., Bakr B. W., Auffray M., Tsuchiya Y., Sherrill C. D., Adachi C., Bredas J.-L., J. Phys. Chem. Lett. 2019, 10, 3260; [DOI] [PubMed] [Google Scholar]
- 15e. Yuan W., Yang H., Duan C., Cao X., Zhang J., Xu H., Sun N., Tao Y., Huang W., Chem 2020, 6, 1998. [Google Scholar]
- 16.Selected reviews on the synthesis and properties of MIMs:
- 16a. Beves J. E., Blight B. A., Campbell C. J., Leigh D. A., McBurney R. T., Angew. Chem. Int. Ed. 2011, 50, 9260; [DOI] [PubMed] [Google Scholar]; Angew. Chem. 2011, 123, 9428; [Google Scholar]
- 16b. Xue M., Yang Y., Chi X., Yan X., Huang F., Chem. Rev. 2015, 115, 7398; [DOI] [PubMed] [Google Scholar]
- 16c. Bruns C. J., Stoddart J. F., The Nature of the Mechanical Bond: From Molecules to Machines, Wiley, Hoboken, 2016; [Google Scholar]
- 16d. Hou X., Ke C., Stoddart J. F., Chem. Soc. Rev. 2016, 45, 3766; [DOI] [PubMed] [Google Scholar]
- 16e. Lewis J. E. M., Beer P. D., Loeb S. J., Goldup S. M., Chem. Soc. Rev. 2017, 46, 2577; [DOI] [PubMed] [Google Scholar]
- 16f. Maynard J. R. J., Goldup S. M., Chem 2020, 6, 1914. [Google Scholar]
- 17.Selected examples and reviews:
- 17a. Gassensmith J. J., Baumes J. M., Smith B. D., Chem. Commun. 2009, 6329; [DOI] [PMC free article] [PubMed] [Google Scholar]
- 17b. Baumes J. M., Gassensmith J. J., Giblin J., Lee J. J., White A. G., Culligan W. J., Leevy W. M., Kuno M., Smith B. D., Nat. Chem. 2010, 2, 1025; [DOI] [PMC free article] [PubMed] [Google Scholar]
- 17c. Masai H., Terao J., Seki S., Nakashima S., Kiguchi M., Okoshi K., Fujihara T., Tsuji Y., J. Am. Chem. Soc. 2014, 136, 1742; [DOI] [PubMed] [Google Scholar]
- 17d. Inouye M., Hayashi K., Yonenaga Y., Itou T., Fujimoto K., Uchida T. A., Iwamura M., Nozaki K., Angew. Chem. Int. Ed. 2014, 53, 14392; [DOI] [PubMed] [Google Scholar]; Angew. Chem. 2014, 126, 14620; [Google Scholar]
- 17e. Qu D. H., Wang Q. C., Zhang Q. W., Ma X., Tian H., Chem. Rev. 2015, 115, 7543; [DOI] [PubMed] [Google Scholar]
- 17f. Ma X., Zhang J., Cao J., Yao X., Cao T., Gong Y., Zhao C., Tian H., Chem. Sci. 2016, 7, 4582; [DOI] [PMC free article] [PubMed] [Google Scholar]
- 17g. Hayashi K., Miyaoka Y., Ohishi Y., Uchida T. A., Iwamura M., Nozaki K., Inouye M., Chem. Eur. J. 2018, 24, 14613; [DOI] [PubMed] [Google Scholar]
- 17h. Masai H., Terao J., Bull. Chem. Soc. Jpn. 2019, 92, 529; [Google Scholar]
- 17i. Zhang Z., Tizzard G. J., Williams J. A. G., Goldup S. M., Chem. Sci. 2020, 11, 1839; [DOI] [PMC free article] [PubMed] [Google Scholar]
- 17j. Garci A., Beldjoudi Y., Kodaimati M. S., Hornick J. E., Nguyen M. T., Cetin M. M., Stern C. L., Roy I., Weiss E. A., Stoddart J. F., J. Am. Chem. Soc. 2020, 142, 7956; [DOI] [PubMed] [Google Scholar]
- 17k. Pruchyathamkorn J., Kendrick W. J., Frawley A. T., Mattioni A., Caycedo-Soler F., Huelga S. F., Plenio M. B., Anderson H. L., Angew. Chem. Int. Ed. 2020, 59, 16455–16458; [DOI] [PMC free article] [PubMed] [Google Scholar]; Angew. Chem. 2020, 132, 16597–16600. [Google Scholar]
- 18.Selected examples and reviews:
- 18a. Ma X., Tian H., Chem. Soc. Rev. 2010, 39, 70; [DOI] [PubMed] [Google Scholar]
- 18b. Lim J. Y. C., Marques I., Felix V., Beer P. D., J. Am. Chem. Soc. 2017, 139, 12228; [DOI] [PubMed] [Google Scholar]
- 18c. Denis M., Pancholi J., Jobe K., Watkinson M., Goldup S. M., Angew. Chem. Int. Ed. 2018, 57, 5310; [DOI] [PMC free article] [PubMed] [Google Scholar]; Angew. Chem. 2018, 130, 5408; [Google Scholar]
- 18d. Lim J. Y. C., Marques I., Felix V., Beer P. D., Angew. Chem. Int. Ed. 2018, 57, 584; [DOI] [PubMed] [Google Scholar]; Angew. Chem. 2018, 130, 593; [Google Scholar]
- 18e. Denis M., Qin L., Turner P., Jolliffe K. A., Goldup S. M., Angew. Chem. Int. Ed. 2018, 57, 5315; [DOI] [PMC free article] [PubMed] [Google Scholar]; Angew. Chem. 2018, 130, 5413; [Google Scholar]
- 18f. Bąk K. M., Porfyrakis K., Davis J. J., Beer P. D., Mater. Chem. Front. 2020, 4, 1052; [Google Scholar]
- 18g. Knighton R. C., Dapin S., Beer P. D., Chem. Eur. J. 2020, 26, 5288. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 19.Selected examples and reviews:
- 19a. Tachibana Y., Kihara N., Takata T., J. Am. Chem. Soc. 2004, 126, 3438; [DOI] [PubMed] [Google Scholar]
- 19b. Beswick J., Blanco V., De Bo G., Leigh D. A., Lewandowska U., Lewandowski B., Mishiro K., Chem. Sci. 2015, 6, 140; [DOI] [PMC free article] [PubMed] [Google Scholar]
- 19c. Galli M., Lewis J. E., Goldup S. M., Angew. Chem. Int. Ed. 2015, 54, 13545; [DOI] [PMC free article] [PubMed] [Google Scholar]; Angew. Chem. 2015, 127, 13749; [Google Scholar]
- 19d. Xu K., Nakazono K., Takata T., Chem. Lett. 2016, 45, 1274; [Google Scholar]
- 19e. Cakmak Y., Erbas-Cakmak S., Leigh D. A., J. Am. Chem. Soc. 2016, 138, 1749; [DOI] [PMC free article] [PubMed] [Google Scholar]
- 19f. Mitra R., Zhu H., Grimme S., Niemeyer J., Angew. Chem. Int. Ed. 2017, 56, 11456; [DOI] [PubMed] [Google Scholar]; Angew. Chem. 2017, 129, 11614; [Google Scholar]
- 19g. Pairault N., Niemeyer J., Synlett 2018, 29, 689; [Google Scholar]
- 19h. Dommaschk M., Echavarren J., Leigh D. A., Marcos V., Singleton T. A., Angew. Chem. Int. Ed. 2019, 58, 14955; [DOI] [PubMed] [Google Scholar]; Angew. Chem. 2019, 131, 15097; [Google Scholar]
- 19i. Pairault N., Zhu H., Jansen D., Huber A., Daniliuc C. G., Grimme S., Niemeyer J., Angew. Chem. Int. Ed. 2020, 59, 5102; [DOI] [PMC free article] [PubMed] [Google Scholar]; Angew. Chem. 2020, 132, 5140; [Google Scholar]
- 19j. Hsueh F. C., Tsai C. Y., Lai C. C., Liu Y. H., Peng S. M., Chiu S. H., Angew. Chem. Int. Ed. 2020, 59, 11278; [DOI] [PubMed] [Google Scholar]; Angew. Chem. 2020, 132, 11374; [Google Scholar]
- 19k. Heard A. W., Goldup S. M., Chem 2020, 6, 994; [DOI] [PMC free article] [PubMed] [Google Scholar]
- 19l. Martinez-Cuezva A., Saura-Sanmartin A., Alajarin M., Berna J., ACS Catal. 2020, 10, 7719. [Google Scholar]
- 20.Selected reviews:
- 20a. Erbas-Cakmak S., Leigh D. A., McTernan C. T., Nussbaumer A. L., Chem. Rev. 2015, 115, 10081; [DOI] [PMC free article] [PubMed] [Google Scholar]
- 20b. Leigh D. A., Angew. Chem. Int. Ed. 2016, 55, 14506; [DOI] [PubMed] [Google Scholar]; Angew. Chem. 2016, 128, 14722; [Google Scholar]
- 20c. Stoddart J. F., Angew. Chem. Int. Ed. 2017, 56, 11094; [DOI] [PubMed] [Google Scholar]; Angew. Chem. 2017, 129, 11244; [Google Scholar]
- 20d. Sauvage J. P., Angew. Chem. Int. Ed. 2017, 56, 11080; [DOI] [PubMed] [Google Scholar]; Angew. Chem. 2017, 129, 11228; [Google Scholar]
- 20e. Heard A. W., Goldup S. M., ACS Cent. Sci. 2020, 6, 117; [DOI] [PMC free article] [PubMed] [Google Scholar]
- 20f. Aprahamian I., ACS Cent. Sci. 2020, 6, 347. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 21. Rajamalli P., Rota Martir D., Zysman-Colman E., J. Photonics Energy 2018, 8, 032106. [Google Scholar]
- 22. Martir D. R., Pizzolante A., Escudero D., Jacquemin D., Warriner S. L., Zysman-Colman E., ACS Appl. Energy Mater. 2018, 1, 2971. [Google Scholar]
- 23.
- 23a. Crowley J. D., Goldup S. M., Lee A.-L., Leigh D. A., McBurney R. T., Chem. Soc. Rev. 2009, 38, 1530; [DOI] [PubMed] [Google Scholar]
- 23b. Denis M., Goldup S. M., Nat. Rev. Chem. 2017, 1, 0061. [Google Scholar]
- 24.
- 24a. Aucagne V., Hänni K. D., Leigh D. A., Lusby P. J., Walker D. B., J. Am. Chem. Soc. 2006, 128, 2186; [DOI] [PubMed] [Google Scholar]
- 24b. Aucagne V., Berna J., Crowley J. D., Goldup S. M., Hanni K. D., Leigh D. A., Lusby P. J., Ronaldson V. E., Slawin A. M., Viterisi A., Walker D. B., J. Am. Chem. Soc. 2007, 129, 11950; [DOI] [PubMed] [Google Scholar]
- 24c. Lahlali H., Jobe K., Watkinson M., Goldup S. M., Angew. Chem. Int. Ed. 2011, 50, 4151; [DOI] [PubMed] [Google Scholar]; Angew. Chem. 2011, 123, 4237. [Google Scholar]
- 25.
- 25a. Galli M., Fletcher C. J., Del Pozo M., Goldup S. M., Org. Biomol. Chem. 2016, 14, 5622; [DOI] [PubMed] [Google Scholar]
- 25b. Lewis J. E. M., Bordoli R. J., Denis M., Fletcher C. J., Galli M., Neal E. A., Rochette E. M., Goldup S. M., Chem. Sci. 2016, 7, 3154. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 26.
- 26a. Rostovtsev V. V., Green L. G., Fokin V. V., Sharpless K. B., Angew. Chem. Int. Ed. 2002, 41, 2596; [DOI] [PubMed] [Google Scholar]; Angew. Chem. 2002, 114, 2708; [Google Scholar]
- 26b. Tornøe C. W., Christensen C., Meldal M., J. Org. Chem. 2002, 67, 3057. [DOI] [PubMed] [Google Scholar]
- 27. Ishimatsu R., Matsunami S., Shizu K., Adachi C., Nakano K., Imato T., J. Phys. Chem. A 2013, 117, 5607. [DOI] [PubMed] [Google Scholar]
- 28. El-Sayed M. A., J. Chem. Phys. 1963, 38, 2834. [Google Scholar]
- 29. Taylor P. N., Hagan A. J., Anderson H. L., Org. Biomol. Chem. 2003, 1, 3851. [DOI] [PubMed] [Google Scholar]
- 30. Shao Y., Gan Z., Epifanovsky E., Gilbert A. T. B., Wormit M., Kussmann J., Lange A. W., Behn A., Deng J., Feng X., Ghosh D., Goldey M., Horn P. R., Jacobson L. D., Kaliman I., Khaliullin R. Z., Kuś T., Landau A., Liu J., Proynov E. I., Rhee Y. M., Richard R. M., Rohrdanz M. A., Steele R. P., Sundstrom E. J., Woodcock H. L., Zimmerman P. M., Zuev D., Albrecht B., Alguire E., Austin B., Beran G. J. O., Bernard Y. A., Berquist E., Brandhorst K., Bravaya K. B., Brown S. T., Casanova D., Chang C.-M., Chen Y., Chien S. H., Closser K. D., Crittenden D. L., Diedenhofen M., DiStasio R. A., Do H., Dutoi A. D., Edgar R. G., Fatehi S., Fusti-Molnar L., Ghysels A., Golubeva-Zadorozhnaya A., Gomes J., Hanson-Heine M. W. D., Harbach P. H. P., Hauser A. W., Hohenstein E. G., Holden Z. C., Jagau T.-C., Ji H., Kaduk B., Khistyaev K., Kim J., Kim J., King R. A., Klunzinger P., Kosenkov D., Kowalczyk T., Krauter C. M., Lao K. U., Laurent A. D., Lawler K. V., Levchenko S. V., Lin C. Y., Liu F., Livshits E., Lochan R. C., Luenser A., Manohar P., Manzer S. F., Mao S.-P., Mardirossian N., Marenich A. V., Maurer S. A., Mayhall N. J., Neuscamman E., Oana C. M., Olivares-Amaya R., O'Neill D. P., Parkhill J. A., Perrine T. M., Peverati R., Prociuk A., Rehn D. R., Rosta E., Russ N. J., Sharada S. M., Sharma S., Small D. W., Sodt A., et al., Mol. Phys. 2015, 113, 184. [Google Scholar]
- 31. Ufimtsev I. S., Martínez T. J., Comput. Sci. Eng. 2008, 10, 26. [Google Scholar]
- 32.
- 32a. Perdew J. P., Burke K., Ernzerhof M., Phys. Rev. Lett. 1996, 77, 3865; [DOI] [PubMed] [Google Scholar]
- 32b. Adamo C., Barone V., J. Chem. Phys. 1999, 110, 6158. [Google Scholar]
- 33.
- 33a. Lewis J. E. M., Winn J., Cera L., Goldup S. M., J. Am. Chem. Soc. 2016, 138, 16329; [DOI] [PubMed] [Google Scholar]
- 33b. Lewis J. E., Winn J., Goldup S. M., Molecules 2017, 22, 89. [Google Scholar]
- 34.
- 34a. Juwarker H., Lenhardt J. M., Pham D. M., Craig S. L., Angew. Chem. Int. Ed. 2008, 47, 3740; [DOI] [PubMed] [Google Scholar]; Angew. Chem. 2008, 120, 3800; [Google Scholar]
- 34b. Hua Y., Ramabhadran R. O., Karty J. A., Raghavachari K., Flood A. H., Chem. Commun. 2011, 47, 5979. [DOI] [PubMed] [Google Scholar]
- 35. Merriam M. J., Rodriguez R., McHale J. L., J. Phys. Chem. 1987, 91, 1058. [Google Scholar]
- 36. Eng J., Laidlaw B. A., Penfold T. J., J. Comput. Chem. 2019, 40, 2191. [DOI] [PubMed] [Google Scholar]
- 37. Deposition Number(s) 2061107 contain(s) the supplementary crystallographic data for this paper. These data are provided free of charge by the joint Cambridge Crystallographic Data Centre and Fachinformationszentrum Karlsruhe Access Structures service www.ccdc.cam.ac.uk/structures.
Associated Data
This section collects any data citations, data availability statements, or supplementary materials included in this article.