Abstract
Dihydrogen phosphate anions are found to spontaneously associate into anti-electrostatic oligomers via hydrogen bonding interactions at millimolar concentrations in DMSO. Diffusion NMR measurements supported formation of these oligomers, which can be bound by photoswitchable anion receptors to form large bridged assemblies of approximately three times the volume of the unbound receptor. Photoisomerization of the oligomer-bound receptor causes a decrease in diffusion coefficient of up to 16%, corresponding to a 70% increase in effective volume. This new approach to external control of diffusion opens prospects in controlling molecular transport using light.
Introduction
Active control over molecular transport by synthetic systems is a topic of major contemporary interest.1 Recent progress has shown that motors,2 enzymes, or other energy-consuming nanostructures can effectively drive molecular transport in solution.2b,3a−3k Despite these advances, controlling transport of molecules in solution remains a challenging goal. One way to control transport is by modulating the diffusion rate of species in solution. Various theoretical proposals and experimental data have shown that increasing or decreasing the rate of diffusion can lead to directional transport when coupled with, for example, concentration gradients.4 Diffusion rates have been influenced using molecular photoswitches5 by altering self-assembled discrete structures5a,5c,5e,6 or polymers.5e,6,7a,7b While diffusion NMR8 measurements are an established approach for characterizing supramolecular assemblies,9 the use of a switchable assembly to control diffusive transport is relatively unexplored.
Many small molecular receptors have been developed to selectively bind anions.10 Such binding may result in changes in the rate of diffusion of the receptor. If the binding properties could be modified by external stimuli, for example, by light,11 this could allow control of the rate of diffusion. Recently, some of us developed the first photoswitchable receptors exhibiting strong dihydrogen phosphate binding.12 These receptors were based on molecular motor and stiff-stilbene scaffolds13 containing urea anion-binding motifs. These hosts could be converted from a weakly guest-binding E to a strongly binding Z form using near-UV light (Figure 1a).
Some anions are known to associate through hydrogen bonds that are sufficiently strong to overcome electrostatic repulsion to form polyanionic species.14 This anti-electrostatic hydrogen bonding (AEHB) is common in the solid state for oxoanions such as HCO3–, HSO4–, and H2PO4– (Figure 1b,c).
While AEHB interactions have been identified in solid-state crystal structures, detection of unchaperoned anion dimers or oligomers in solution is challenging due to limited spectroscopic signatures, weak anion–anion bonds, labile protons, and rapidly exchanging bound species. These difficulties can be attenuated by the use of an anion-binding host to template AEHB interactions,17 leading to reports of HSO4– dimers15,18 and H2PO4– dimers19 and oligomers20,16 in solution. Conductimetric and spectroscopic techniques have shown the formation of AEHB dimers of HCO3– and H2PO4– in water21 or DMSO22 and suggested the possibility of higher order oligomers.21c However, to the best of our knowledge, the unassisted formation of AEHB oxoanion oligomers in solution has yet to be conclusively established. We anticipated that the use of photoswitchable anion receptors with AEHB dihydrogen phosphate oligomers would allow changes in diffusion to be controlled by light. Herein we report quantitative self-association data for the anti-electrostatic oligomerization of dihydrogen phosphate in DMSO at millimolar concentrations, and the use of a photoswitchable anion receptor to allow reversible binding to control rates of diffusive transport.
Results and Discussion
Our initial studies of tetrabutylammonium dihydrogen phosphate ([NBu4][H2PO4]) solutions in DMSO-d6 with 0.5% v/v added water23 revealed a surprising decrease in the diffusion coefficient of the H2PO4– anion D(H2PO4) at higher concentrations, while the diffusion coefficient of the NBu4+ counterion D(NBu4) remained relatively constant (Figure 2; see SI-6). This behavior cannot be explained by changes in ion pairing or viscosity which must affect the diffusion coefficients of both ions equally. Control experiments with tetrabutylammonium acetate did not show comparable continuing decreases in diffusion coefficients of either NBu4+ or acetate over the same concentration range as used for [NBu4][H2PO4] (SI-S6.1), indicating that the formation of oligomers was unique to H2PO4–.
Diffusion coefficients vary approximately proportionally to the inverse cube root of molecular volume, V–1/3.24 Therefore, the 50% decrease in D(H2PO4) as the H2PO4– concentration is increased from 2 to 300 mM suggests an 8-fold increase in effective volume over this concentration range. We propose this decrease in D(H2PO4) is a result of the formation of AEHB oligomers of H2PO4– in solution.
A simple model for supramolecular oligomerization is the isodesmic model, in which the addition of each monomer to an oligomer occurs with the same association constant Ki (SI–S5.1).25 Combining this model with an inverse-cube relationship between D and oligomer size (see SI–S5.2 for derivation and details) gives a model for the concentration dependence of the measured D of a molecular species undergoing reversible oligomerization:
1 |
where Lis(z) is the polylogarithm function,26D0 is the diffusion coefficient of the monomer, Ki is the isodesmic association constant, [A]0 is the total concentration, and [A] is the concentration of the free (monomeric) species which can be obtained from Ki and [A]0. Nonlinear regression of eq 1 onto the measured diffusion coefficients of H2PO4– gave Ki = 120 ± 32 M–1, surprisingly close to the reported dimerization constants of H2PO4– in pure DMSO (180 M–1 measured by 31P NMR,22 51 M–1 measured by ITC17). Our measured Ki corresponds to median complexes composed of 4 or 10 H2PO4– subunits at 50 or 300 mM concentrations, respectively (Figure 3a, Figure S11), and as far as we know, this surprisingly strong process in a polar solvent is the first measurement of indefinite AEHB self-association. This model makes no assumptions about the structure of the self-assembly, which could be, for example, linear chains or globular-type assemblies, as suggested by the diversity of known solid-state structures containing H2PO4– clusters.27
To modify the diffusion rate of a switchable receptor, we turned to the previously developed stiff stilbene,5c,5e bis-urea.12c,12e The bis-tolyl derivative 1 (Figure 1a) was synthesized to take advantage of the convenient methyl 1H NMR signal for diffusion NMR experiments (see SI-3). The association constants for H2PO4– and OAc– were measured by NMR titrations and fitted to 1:2 [HG2] binding models, with results28 comparable to those previously reported for the nonsubstituted phenyl derivative12c when studied over the same guest concentration range. Binding studies at higher concentrations of H2PO4–, however, resulted in slightly different association constants when fitted to the same binding model (SI-S7.8–7.10) illustrating that competition due to self-association of H2PO4– complicates binding models for association constants.29 For example, a recent report of H2PO4– binding30 found different binding constants and stoichiometries when measured at different concentrations by UV–vis absorption or NMR spectroscopy, likely due to H2PO4– aggregation. This problem will also apply to all other H2PO4– binding studies measured at millimolar or higher concentrations.
The photoswitching properties of 1 were studied in DMSO-d6 with 0.5% v/v added water,12c and absorption spectra (Figure S45) are in line with the parent compound.12c The thermal half-life is sufficiently long that no thermal isomerization was observable over the time scales used in the experiments reported here. In the presence of 50 mM [NBu4][H2PO4], the photostationary state under nonoptimal irradiation with a 405 nm LED comprised a E/Z ratio of 58:42 as measured by NMR integration.
The measured diffusion coefficients of E-1 and Z-1 (D(E-1) and D(Z-1)) in DMSO-d6 with 0.5% v/v added water are shown in Table 1. In the absence of H2PO4–, the extended E-1 isomer diffuses slightly more slowly (7%) than the more compact Z-1 (Table 1; entry 1 vs 2). Given the large difference in size between host 1 (MW = 529, approximately longest axis 13 Å) and the H2PO4– anion (MW = 97, radius 2.5 Å),31 we might have anticipated a modest decrease in average host diffusion coefficients at guest concentrations where near-complete complexation occurs based on measured binding constants.32
Table 1. Changes in Diffusion Coefficients of Pure Isomers and 1:1 Mixed Solutions of E-1 and Z-1 in the Presence of 50 mM NBu4–H2PO4a.
entry | [H2PO4–] (mM) | [E-1] (mM) | [Z-1] (mM) | D(H2PO4)b/10–10 (m2 s–1) | D(E-1)c/10–10 (m2 s–1) | D(Z-1)c/10–10 (m2 s–1) | D(NBu4)c/10–10 (m2 s–1) |
---|---|---|---|---|---|---|---|
1 | 5 | 1.74 ± 0.03 | |||||
2 | 5 | 1.87 ± 0.01 | |||||
3 | 50 | 2.16 ± 0.03 | 2.50 ± 0.02 | ||||
4 | 50 | 5 | 1.93 ± 0.04 | 1.17 ± 0.03 | 2.39 ± 0.01 | ||
5 | 50 | 5 | 2.01 ± 0.03 | 1.39 ± 0.01 | 2.37 ± 0.02 | ||
6 | 50 | 5 | 5 | 1.83 ± 0.08 | 1.12 ± 0.02 | 1.36 ± 0.01 | 2.31 ± 0.01 |
7 | 50 | 2.5 | 2.5 | 1.97 ± 0.07 | 1.19 ± 0.01 | 1.45 ± 0.03 | 2.44 ± 0.01 |
8 | 50 | 0.5 | 0.5 | 2.05 ± 0.02 | 1.27 ± 0.03 | 1.57 ± 0.03 | 2.52 ± 0.02 |
DMSO-d6 with 0.5% v/v added water.
202 MHz 31P PGSTE, δ = 7 ms, Δ = 100 ms, g = 0–53.5 G cm–1.
500 MHz 1H PGSTE, δ = 4 ms, Δ = 50 ms, g = 0–53.5 G cm–1.
Instead, we observe a large decrease in measured D(1) that continues to decrease at concentrations above those predicted for near-complete complexation.33 After correcting for H2PO4– induced viscosity changes (see SI-4),34 the measured D of pure E-1 or Z-1 in the presence of 50 mM [NBu4][H2PO4] was found to decrease by 33% (D(E-1)) or 26% (D(Z-1)) relative to D without [NBu4][H2PO4] (Table 1; entries 1 vs 4; 2 vs 5; Figure 4 for full [H2PO4–]-dependent diffusion data). This suggests greater than 2 or 3-fold increases in effective volumes of the Z-1 or E-1 hosts, respectively. These substantial decreases in measured D are too large to be explained by the formation of simple ditopic [HG2] complexes12c or even [H(Gn)2] complexes, where Gn is an oligomeric assembly of n hydrogen-bonded H2PO4– subunits that forms as in the absence of host35 (Figure 3b,c see Figure S11 for modeling).12c
Host E-1 forms larger structures than host Z-1, despite having a lower binding constant.36 This observation is also supported by changes in the measured diffusion of H2PO4–, D(H2PO4), (measured by 31P NMR), which decreases by 11% or 7% in the presence of 5 mM of E-1 or Z-1, respectively (Table 1; entries 3 vs 4, 5). This indicates that H2PO4– is also assembled into larger average structures in the presence of E-1 than in the presence of Z-1.
The D(E-1) and D(Z-1) measured in 5 mM solutions of a single isomer of 1 decrease by just 4% and 2%, respectively, when a 5 mM amount of the other isomer is also present (Table 1; entries 4 vs 6; 5 vs 6), suggesting minimal interactions between the E- and Z-isomers.
Relative to that of a solution of pure [NBu4][H2PO4], D(H2PO4) decreases on going from 5 mM Z-1 (−7%, Table 1, entry 5) to 5 mM E-1 (−11%, entry 4) to 5 mM Z-1 and E-1 (−15%, entry 6). D(H2PO4) for a solution of 2.5 mM E-1 and 2.5 mM Z-1 (−9%, entry 7) is also the average of that 5 mM solutions of each isomer (entries 4, 5). This also suggests the H2PO4– does not experience anything other than a statistical binding by the hosts, with surprisingly no evidence of cross-linking between different host isomers.
However, there is evidence that complexes are formed involving multiple host molecules of the same isomer. To test this, titration experiments with [NBu4][H2PO4] were conducted with solutions of 1:1 mixtures of E-1:Z-1 at 1, 5, and 10 mM total concentrations (SI-8.3). A small but observable decrease in D for both E-1 and Z-1 was found as the total concentration of the host increased from 1 to 5 to 10 mM (e.g., at 50 mM [NBu4][H2PO4]: Table 1, entries 6–8; also SI–S8.3). This data supports the formation of structures involving multiple hosts, such as structures such as shown in Figure 3d.
Host 1 could also increase the effective size of polyanionic complexes by increasing ion pairing to the NBu4+ cations. This would result in a decrease in D(NBu4) with increasing host concentration, but only a 5% decrease in D(NBu4) is observed (Table 1, entry 3 vs 4; 3 vs 5), suggesting ion pairing is only a minor contributor. There is also no difference between D(NBu4) in the presence of E-1 or Z-1, despite E-1 forming much larger complexes (Table 1; entries 4 vs 5). These observations suggest the hosts do not significantly change ion pairing between the NBu4+ and oligomers of H2PO4–.
From the measured diffusion coefficients of free host (5 mM) and oligomeric H2PO4– (50 mM), we estimate the assemblies formed involve 1–2 molecules of 1 with 2–3 assemblies of oligomeric guest Gn, (where n is the same as that formed at 50 mM [NBu4][H2PO4] in the absence of host, see SI–S9 for discussion of methodology).37 From the modeled size distribution of H2PO4– oligomers at 50 mM (Figure S11), this corresponds to complexes incorporating approximately 10 H2PO4– subunits with average molecular weights of 1.5–2.0 kDa. Together, these results indicate that H2PO4– anions not only form aggregates in polar and hydrogen-bond accepting solvents, but that these structures can associate to form larger assemblies with multiple hosts in solution.
As host 1 is a photoswitch, the E-1/Z-1 distribution of isomers can be controlled using light (SI-10). Reversible switching was investigated by UV–vis absorption; see Figure S46. By combining in situ irradiation within the NMR spectrometer38 with recently developed time-resolved diffusion NMR techniques,39 we simultaneously measured changes in concentration and diffusion coefficients of E-1 and Z-1 under 400 nm irradiation (Figure 5). The rapidly changing concentration during the early stages of the reaction causes the observed noise; see SI-S10.2 for more details.
Photoswitching of organic molecules is expected to result in differences in D, but such changes would typically be minor (e.g., the 7% difference between D(E-1) and D(Z-1) in the absence of anion guest (Table 1, entries 1 and 2). Switchable anion binding might give more control over the effective host D, but complexes with small anions (e.g., Cl–, OAc–, NO3–, HSO4–) might only cause modest changes in host D, as found for control experiments with acetate (8% and 4% decrease, respectively, in D(E-1) and D(Z-1) at 50 mM [NBu4][OAc]; SI-S8.2). The use of H2PO4– oligomers allows greater control over D: switching host 1 from Z-1 to E-1 causes a “molecular gear change” and a 16% decrease in measured D (Table 1, entries 4 and 5), suggestive of an approximately 70% increase in average molecular volume. This demonstrates substantial control over the diffusion rate of small molecules in bulk solution by coupling photocontrol of guest-binding to the ability of H2PO4– to form extended supramolecular structures.42 As 1 is a thermally stable (“P-type”) photoswitch,5e,5h these changes in D will persist in the dark.
Conclusion
In conclusion, we sought to use the switchable anion-binding properties of host 1 to achieve photocontrol of translational diffusion rates. Diffusion NMR allowed characterization of the thermodynamics of the anti-electrostatic self-assembly of the bare dihydrogen phosphate anion in solution, a long-suspected21a,21b but previously uncharacterized phenomenon. We obtained a surprisingly high isodesmic association constant of Ki = 120 ± 32 M–1 for H2PO4– self-association, which corresponds to complexes of a median size of four (or 10) H2PO4– subunits at concentrations of 50 mM (or 300 mM) in wet DMSO. Anion binding studies with H2PO4– in DMSO therefore always involve competition between host–H2PO4– and H2PO4––H2PO4– interactions,14h,17 which poses problems for fitting titration data (SI-7.11 for further discussion). Because of the limited solubility of our bis-urea receptor, this study was conducted exclusively in wet DMSO. It would be reasonable to assume that in less polar solvents such as DMF, acetonitrile, or dichloromethane self-association of H2PO4– may be more significant. To test this, we measured the diffusion coefficients of [NBu4][H2PO4] in CDCl3. Due to tight ion pairing the diffusion coefficients of the cation and anion were close over the range of 2–300 mM. A decrease in D(H2PO4) of around 40% is observed over this concentration range, consistent with the formation of oligomers similar to that observed in DMSO-d6 (see SI-12 for details). This result suggests ion pairing may disrupt the formation of even larger oligomers in noncompetitive solvents.
Combining the unusual anti-electrostatic oligomerization of H2PO4– with a photoswitchable anion-binding receptor allowed light to induce a “gear change” and sharply change the rate of receptor diffusion, equivalent to a 70% change in effective volume. Can control of diffusion via a spatially selective stimulus (such as light, as demonstrated here) drive directional transport of small molecular species and create concentration gradients? This remains an interesting open question.
Acknowledgments
We thank Prof. Tim Schmidt, Prof. Palli Thordarson, and Prof. Amar Flood for fruitful discussions. The Australian Research Council (JEB, FT170100094), the Australian Government (TSCM, Australian Postgraduate Award), the Ministry of Education, Culture and Science (Gravitation Program 024.001.035), and the European Research Council (Advanced Grant no. 694345 to B.L.F. and Starting Grant no. 802830 to S.J.W.) are acknowledged for funding. We acknowledge the Mark Wainwright Analytical Centre at UNSW Sydney for access to the NMR facility.
Supporting Information Available
The Supporting Information is available free of charge at https://pubs.acs.org/doi/10.1021/jacs.0c09072.
Experimental procedures, NMR spectra, scripts used to process diffusion NMR data (PDF)
The authors declare no competing financial interest.
Notes
Raw experimental data has been deposited on ChemRxiv and is available at DOI: 10.26434/chemrxiv.12298919.v1.
Supplementary Material
References
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