Open Access Article
Harshita
Kumari
*a,
Sarah E.
Armitage
b,
Steven R.
Kline
c,
Krishna K.
Damodaran
d,
Stuart R.
Kennedy
b,
Jerry L.
Atwood
*e and
Jonathan W.
Steed
*b
aJames L. Winkle College of Pharmacy, University of Cincinnati, 3225 Eden Avenue, Cincinnati, OH, USA. E-mail: kumariha@ucmail.uc.edu
bDepartment of Chemistry, Durham University, South Road, Durham DH1 3LE, UK. E-mail: jon.steed@durham.ac.uk
cNIST Center for Neutron Research, National Institute of Standards and Technology, Gaithersburg, MD, USA
dDepartment of Chemistry, Science Institute, University of Iceland, Dunhagi 3, 107 Reykjavík, Iceland
eDepartment of Chemistry, University of Missouri – Columbia, 601 South College Avenue, Columbia, MO 65211, USA
First published on 3rd September 2015
Appending perfluoroalkyl substituents to bis(urea) gelators results in significantly decreased inter-chain interactions with markedly thinner fibres and hence more cross-linked and more transparent gels with potential applications in the crystallisation of fluorinated pharmaceuticals. Gel structure has been probed by detailed SANS measurements which indicate a surprising structure evolution on thermal cycling, not seen for hydrocarbon analogues. The SANS data are complemented by the single crystal X-ray structure of one fluorinated gelator.
While the primary supramolecular structure of LMWG fibres is reasonably well understood, the evolution of a one-dimensional hydrogen bonded motif to give an interconnected, entangled three-dimensional sample-spanning framework capable of immobilising a contiguous fluid phase is still the topic of speculation.21–24 The problem is exacerbated by the inability of many ‘molecular level’ techniques to give information on extended supramolecular structure. Moreover, sample preparation methods such as drying a gel to give a xerogel suitable for analysis by X-ray powder diffraction may well result in changes to the structure and degree of crystallinity of the material. Ultimately in situ techniques capable of probing supramolecular structure on a variety of length scales are best placed to provide insight into questions of higher order supramolecular structure and the process by which a gelator is deposited from solution into an interconnected fibrous morphology. In this regard small angle neutron scattering (particularly using isotopic substitution to enhance contrast) is of particular benefit in combination with complementary techniques such as SAXS, WAXS, SEM and single crystal and powder X-ray diffraction. We now present a detailed comparison of the gelation behaviour of bis(urea) gelators bearing perfluoroalkyl ‘ponytails’25 with their hydrocarbon analogues. It was anticipated that ‘insulating’ the urea hydrogen bonded motif within a fluorous ‘sheath’ may result in novel gelation behaviour while retaining the compatibility of the gelator with a range of solvents. A detailed SANS analysis has been undertaken of the structure of the gels which shows very different thermal evolution and SAFIN morphology for the two classes of materials.
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| Fig. 1 Gels in DMSO at the mgc: from left to right 1d (3 wt%), 2b (0.5 wt%), 1b (7 wt%), 1c (2.5 wt%), 1a (3 wt%) and 2a (0.2 wt%). The fluorinated gels have a markedly more transparent appearance. | ||
In contrast, the fluorous gelators of type 2 gel a narrower range of solvents than their hydrocarbon analogues (12 and 14 of the 31 solvents tested for 2a and 2b, respectively). Compounds 2 are more effective in immobilising more polar solvents such as DMSO, alcohols and ketones. While the mgc required varied widely from (0.2–10) wt%, the fluorous gelators generally exhibit much lower mgc than their hydrocarbon analogues in the same solvent. Gels of compounds of type 2 are generally much more robust, resistant to mechanical agitation and transparent in appearance, suggesting a denser network of narrower fibres. While most gels formed by thermal cycling, gels of 2b in DMF, DMSO and cyclopentanone displayed the unusual ability to gel at room temperature after around 15 minutes following 30 s of sonication. Room temperature gelation requires a fine balance between solubility and aggregation rate, and relatively few examples have been reported.27
Gelation experiments were also undertaken for compounds of type 2 in fluorinated solvents. Fluorous phases are generally very challenging to gel and most successful gelators for these media possess multiple perfluoroalkyl substituents.12 Compounds 2a and 2b were designed to achieve a fluorous ‘sheath’ around a lipophilic core rather than as efficient gelators of fluorous solvents. While these compounds are indeed ineffective at gelling the majority of fluorous solvents examined, surprisingly compound 2b proved to gel perfluorodecalin at 10 wt% to give an opaque, thermoreversible gel.
The elastic properties of the DMSO gels of compounds 1 and 2 were probed by stress sweep and frequency sweep rheometry using a rough, parallel plate geometry. Experiments were conducted both at the mgc and at higher concentrations. For all gels the plateau G′ value proved to be around one order of magnitude above the viscous modulus (G′′) and invariant to frequency, confirming the gels solid-like nature.28,29 Gels with the shorter butylene spacer all proved to have a larger G′ and yield stress at a given concentration. This greater strength may be due to the more rigid nature of the shorter spacer, greater compatibility with the polar DMSO solvent and in the case of the fluorinated gels of type 2, less incompatibility between hydrocarbon and fluorocarbon regions. For compounds of type 1 gels with the shorter hexyl termini proved to be weaker than those bearing longer octyl groups. The perfluoroalkane gels of type 2 proved stronger still, consistent with the expectation that the fluorinated tail sheaths the urea hydrogen bonded region from solvent competition.
Gel strength was also probed by measurement of Tgel using the dropping ball method.23 For the hydrocarbon terminated gelators of type 1Tgel increases with concentration from 3 to 7 wt% suggesting that relative high concentrations are needed to reach maximum stability in the highly competitive DMSO medium. As suggested by the rheological data, compound 1c forms the most thermally stable gels (Tgel = 93 °C at 7 wt%). Across the whole series of compounds of type 1 and 2, the least temperature-stable gel at 7 wt% is compound 2b, consistent with the lower G′ and yield stress for this compound. This factor may reflect incompatibility between the hydrocarbon and fluorocarbon regions of the gel fibres. For the fluorinated compound of type 2 gel thermal stability increases from the mgc to 3.0 wt% whereupon a plateau is reached, consistent with the generally stronger nature of these gels. For example, DMSO gels of 2a exhibit a Tgel of 50 °C at 0.2 wt% rising to 77 °C at 1 wt% and reaching a plateau value of 80–82 °C at 3 wt% and above. In DMF the Tgel values for compounds of type 1 and 2 are significantly lower. For compound 2a at 2 wt% the Tgel is 52 °C rising to 62 °C at 5 wt%. For 1d in DMF 2 wt% gels do not support the test ball, whereas at 5 wt% the same Tgel of 62 °C is obtained.
The morphology of the DMSO and ethanol xerogels of compounds of type 1 and 2 were probed by SEM using chromium coating. The micrographs reveal networks of anisotropic fibres with relatively high aspect ratios in all gels investigated, however, fibre morphology differs greatly between xerogels of compounds with perfluorinated and hydrocarbon end groups (Fig. 2). The xerogel fibres of the hydrocarbon gelators are more crystalline, linear, flat and ribbon-like in morphology with fibre widths ranging from 0.9–5 μm. The xerogel fibres of the perfluorinated gelators are more amorphous, less linear and more cylindrical in morphology, and are much narrower with fibre diameters of 50–130 nm. Fibres formed from the perfluorinated compounds have much higher aspect ratios than their hydrocarbon analogues leading to highly entangled fibrous networks which is likely to be a key reason for the ability of compounds of type 2 to gel at such low mgc compared to their hydrocarbon analogues. The narrower fibre width in turn is likely to be related to the lower mutual affinity of the fluorinated chains and hence slower growth perpendicular to the fibre axis.
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| Fig. 2 SEM micrographs of ethanol xerogels (a) large, flat ribbons of compound 1d typical of compound of type 1, (b) narrow cylindrical fibres of 2b typical of compounds of type 2. | ||
Analysis of the dried DMSO xerogel and the as-synthesised bulk solid 2a by X-ray powder diffraction (XRPD) showed that both have the same crystal packing arrangement, which also matches the calculated XRPD data from the X-ray crystal structure, albeit with lower crystallinity in the case of the xerogel in particular (see ESI,† Fig. S2). This suggests that the crystal packing arrangement can tolerate a variety of included solvents in addition to 2-butanone. While it is always uncertain to extrapolate diffraction data to the structure of the gel itself, the observation of only a single solid form with the expected hydrogen bonding arrangement isolated from a gelled sample suggests that this X-ray structure is indeed representative of the structure of the gel fibres themselves. Further support for this suggestion comes from SAXS and WAXS data on the DMSO gels (10 wt%) and xerogels of 2a and 2b which give similar results for both gel and xerogel. SAXS data indicate a characteristic spacing of 40.13 Å and 40.65 Å for the gel and xerogel of 2b, respectively, with a shorter distance of 37.84 Å and 37.58 Å, respectively for compound 2a, consistent with the shorter length of the compound. WAXS data gives a spacing of 4.2 Å for both xerogels, increasing to 4.4 Å in the gels themselves. This appears to correlate with the molecular thickness and suggests perhaps some shrinkage of the fibres on drying.
:
2 between q position and a D-spacing (Table 1 and Fig. 4).
The ratio of peak positions at high q (1
:
2) reflects the presence of lamellar structures for both fluorinated and non-fluorinated bis-urea gelators (Tables 1 and 2). The overall lamellar structure is unaffected with change in temperature in all cases for both gelators with an exception of fluorinated gelator 2a in DMF which breaks apart when subjected to high temperature conditions. Gaussian fitting of high q data for the fluorinated gelator yields lamellar structures with a D-spacing of ≈39 Å. In contrast, the D-spacing for the non-fluorinated gelator is ≈35 Å. The higher D-spacing in fluorinated gelator correlates with the greater elasticity and the transparent appearance of the fluorinated gels.
| Conc. (wt%) | Solvent | Temp. (°C) | D spacing (Å) | Peak position ratio |
|---|---|---|---|---|
| 2 | DMSO | 25 | 38.7 | 2 |
| 2 | DMSO | 80 | 39.1 | 2.1 |
| 2 | DMSO | Cool | 38.5 | 2.2 |
| 5 | DMSO | 25 | 38.9 | 2 |
| 5 | DMSO | 80 | 38.8 | 2 |
| 5 | DMSO | Cool | 39 | 2 |
| 2 | DMF | 25 | 39.7 | 2 |
| 2 | DMF | 80 | Structure broken | |
| 2 | DMF | Cool | 38.9 | 1.9 |
| 5 | DMF | 25 | 39.4 | 2 |
| 5 | DMF | 80 | Structure broken | |
| 5 | DMF | Cool | 39.6 | 2 |
| Conc. (wt%) | Solvent | Temp. (°C) | D spacing (Å) | Peak position ratio |
|---|---|---|---|---|
| 2 | DMSO | 25 | 34.8 | 2 |
| 2 | DMSO | 80 | 35.2 | 2 |
| 2 | DMSO | Cool | 34.7 | 2 |
| 5 | DMSO | 25 | 34.6 | 2 |
| 5 | DMSO | 80 | 35.1 | 2 |
| 5 | DMSO | Cool | 34.6 | 2 |
| 2 | DMF | 25 | 34.7 | 2 |
| 2 | DMF | 80 | 35.3 | 1.9 |
| 2 | DMF | Cool | 34.7 | 2 |
| 5 | DMF | 25 | 34.7 | 2 |
| 5 | DMF | 80 | 35.1 | 2 |
| 5 | DMF | Cool | 34.6 | 2 |
Fitting the experimental data for the fluorinated gelator 2a in DMSO-d6 to the smeared spherical fractal model gives a correlation length of 365 ± 4 Å at 25 °C. This length increases markedly to 530 ± 6 Å at 80 °C. The correlation length may be thought of as representing the average distance between gel nodes or the ‘mesh size’ of the SAFIN. Interestingly, the correlation length remains unaltered when the gel is cooled from 80 °C back to 25 °C (523 ± 7 Å). This data suggests that that the gel structure changes irreversibly upon heating with individual fibres growing longer and more ordered. This may be interpreted as a phenomenon analogous to Ostwald ripening36,37 of the gelator component of the solid and suggests that the initially formed network is metastable with initial fibre growth arrested by rapid depletion of the local supersaturation giving a relatively disordered, defective network. The observation is in contrast to the reversible thinning observed in bis(urea)s by Bouteiller et al.38 The temperature of 80 °C corresponds to the gel–sol transition temperature (Tgel) and indicates that at the point of mechanical breakdown the fibrous network persists but the less stable nodes are lost and redissolved, resulting in an ‘annealed’ network upon re-cooling.
In addition to the correlation length, the gel is characterized by its block radius and fractal dimension. The fractal dimension provides a statistical measure of the complexity of the gel network whereas the block radius represents the local dimensions of the gel fibres. The block radius changes from 6 Å to 10 Å upon heating from 25 °C to 80 °C, and remains at 10 Å upon cooling back to 25 °C further confirming the annealed nature of the fibres. The fractal dimension (df = 2.9 to 3.0) remains unaltered as a function of temperature. However, the fit to the SANS data with this model does not adequately describe the low q scattering. This region corresponds to longer length scales and hence gives information about the bulk fibrous structure and trends in its non-uniformity. To address the low q region the data for 2a in DMSO was re-fitted using only the low q data. To focus only on the trends in the correlation length the block radius, corresponding to the local (high q) structure was held constant. Using this model the trend in correlation length remained the same, albeit with a larger value obtained for the initial low temperature data of 425 Å at 25 °C rising to 526 Å at 80 °C and remaining unchanged on cooling. The fractal dimension, remained unaltered suggesting the density or complexity of the network stays the same at all temperatures and hence, no significant differences in correlation lengths and no significant variation was observed as a function of fixed block radius.
The same SANS data for 2a in DMSO-d6 (2% mass fraction) was also fitted to a smeared fractal flexible cylinder model particularly to address the flexibility of cylindrical fibres of gelators. Using this more sophisticated description a similar trend in correlation length is observed for both full q and low q SANS data as the temperature is cycled, further supporting the fractal model. In addition to establishing the non-thermoreversible nature of gels, the cylindrical gel fibres are revealed to be quite rigid. The rigidity is determined by comparing the difference in the contour and Kuhn lengths (Table 3). The Kuhn length represents the average length over which the flexible cylinder building blocks can be considered to be rigid while the contour length is the end-to-end length to the polymer chain if it were fully stretched out (i.e. length of one monomer times the degree of polymerisation). The larger the difference in the two lengths the more flexible the gel fibres are. In this case the contour length is the total length of the flexible cylinder and if the Kuhn length is similar to the contour length, then is the cylinder can be considered rigid over its entire span. For 2a in DMSO-d6, the contour length is never more than twice the Kuhn length, indicating nearly rigid fibers.
| Conc. (wt%) | Solvent | T (°C) | Contour length | Kuhn length |
|---|---|---|---|---|
| 2 | DMSO | 25 | 58.3 | 52.1 |
| 2 | DMSO | 80 | 67.6 | 48.4 |
| 2 | DMSO | Cool | 59.7 | 51.7 |
| 5 | DMSO | 25 | 41.6 | 59.6 |
| 5 | DMSO | 80 | 52 | 49.5 |
| 5 | DMSO | Cool | 62 | 40.7 |
| 2 | DMF | 25 | 39.7 | 24.6 |
| 2 | DMF | 80 | Structure broken | |
| 2 | DMF | Cool | 30.5 | 20.8 |
| 5 | DMF | 25 | 40.4 | 25.1 |
| 5 | DMF | 80 | Structure broken | |
| 5 | DMF | Cool | 42.4 | 20.5 |
The aliphatic gelator 1d in DMSO-d6 is far better described by the fractal flexible cylinder model and this was used exclusively. In contrast to 2a (correlation lengths: 300 Å to 550 Å), gels of 1d give correlation lengths approximately an order of magnitude higher. The correlation length of the initially formed gel at 25 °C is 2735 ± 139 Å and decreases to 1806 ± 57 Å upon heating to 80 °C. Upon subsequent re-cooling the correlation length recovers to 3262 Å. The contour length is again less than twice the Kuhn length at all three temperatures. This indicates that the rigidity of the fibres is similar in case of 2a and 1d and is unaffected by the change in temperature. The cylindrical radius of fibres in 1d reduces by about 13 Å (from 49 to 36 Å) upon heating and expands back to 52 Å, upon cooling. For 1d 80 °C is above the Tgel of the material at 2 wt% (52 °C) and it is interesting that fibrous material remains in the sample even after the collapse of the 3D gel network.
SANS data for 2a in DMF-d6 (2% mass fraction) fitted using a smeared spherical fractal model shows a distinct contrast to the data in DMSO-d6 and provides evidence for a drastic structural transition as a function of temperature (Fig. 5). At 25 °C, the fibers have a correlation length of 231 Å, but are completely disrupted upon heating to 80 °C (Fig. 6). The high temperature SANS data fits to a power law instead of smeared spherical fractal model showing the presence of small spheres at high q and a weak power law at low q. Power law fitting indicates that the gel has completely broken up and there are simply “primary” aggregates (spheres of average radius 9.1 Å), with some small aggregates remaining. Interestingly, the thermally disrupted structure reforms to give a fibrous network upon re-cooling to 25 °C with the same correlation length (full q fitting). This result contrasts sharply with the increase in correlation length upon heating and retention of the annealed fibrous network upon cooling that is observed for the same gelator in DMSO-d6. In this case the DMF gel is significantly beyond the measured Tgel of 52 °C and has reverted to a sol at high temperature. The fractal dimension in DMF, remains unchanged on re-cooling (it ranges between 2.9 Å to 3.0 Å) highlighting the thermoreversibility of the DMF gel. The smeared fractal flexible cylindrical fits give similar qualitative results as a function of temperature.
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| Fig. 5 SANS smeared fractal flexible cylinder fit (low q) for the fluorinated bis(urea) gelator 2a in DMF at 2 wt%, measured at 25 °C. Errors on contour and Kuhn lengths are ±0.05. | ||
In contrast, gels of 1d in DMF at 2 wt% do not show any disruption of gel fibres upon heating. However, the cylindrical radius shrinks from 50 Å to about 6.5 Å before recovering to a very similar value upon re-cooling. This suggests that the fluorinated bis-urea can disrupt and reform its gel network whereas the non-fluorinated gelator are stable, with the fibres thinning out upon heating and thickening back to the original structure upon cooling. For 1d in DMF at all three temperatures the contour lengths and Kuhn lengths are similar, suggesting that the fibres are very rigid and remain rigid upon heating (Table 4). The length of fibres in 1d in DMF is again an order of magnitude higher (400 Å vs. 1800 Å) than 2a. However, the length of fibres of 1d is smaller in DMF (1100–1800 Å) than in DMSO (1805–3262 Å). In both solvents, the correlation length of fibres of 1d decreases upon heating and subsequently increases again upon cooling.
| Conc. (wt%) | Solvent | T (°C) | Contour length | Kuhn length |
|---|---|---|---|---|
| 2 | DMSO | 25 | 37.4 | 40.1 |
| 2 | DMSO | 80 | 27.5 | 33.4 |
| 2 | DMSO | Cool | 40.8 | 20.6 |
| 5 | DMSO | 25 | 39.0 | 38.2 |
| 5 | DMSO | 80 | 22.4 | 38.8 |
| 5 | DMSO | Cool | 31.3 | 36.0 |
| 2 | DMF | 25 | 20.2 | 59.6 |
| 2 | DMF | 80 | 26.5 | 40.7 |
| 2 | DMF | Cool | 26.1 | 53.3 |
| 5 | DMF | 25 | 34.6 | 35.7 |
| 5 | DMF | 80 | 36.1 | 34.0 |
| 5 | DMF | Cool | 34.3 | 45.2 |
The opacity and consistency of these gels can vary significantly as a function of gelator concentration, suggesting variations in gel structure. Thus, in addition to the effect of temperature and solvent, the effect of concentration was also investigated. Gels of 2a were studied using SANS at 5% mass fractions in both DMSO-d6 and DMF-d7.
SANS data fit to smeared spherical fractal model of this concentrated gel of 2a in DMSO shows an increase in correlation length from 392 Å at RT to 474 Å upon heating to 80 °C and retention of the fibrous correlation length (473 Å) upon cooling to 25 °C in a similar way to the 2% mass fraction sample, although the change is less significant for the more concentrated sample. The block radius for 2a at 2% mass fraction changes from 6 Å at RT to 10 Å upon heating to 80 °C and remains similar upon re-cooling (9.7 Å). At 5% mass fraction it changes from 7.3 Å at RT to 11.5 Å upon heating to 80 °C and back to 8.2 Å upon re-cooling. The fractal dimension is very similar to the lower concentration sample suggesting that although the complexity of the fibrous network is insensitive to concentration the local dimension of fibers shows significant variation at different concentrations during the temperature cycling.
The cylindrical radius of fibers at 5% mass fraction (44 Å to 45 Å to 59 Å) and at 2% mass fraction (44 Å to 45 Å to 61 Å) are similar to one another. However, the correlation lengths are slightly shorter than that for 2% mass fraction. Overall, a change in concentration for DMSO gels of 2b causes a difference in local dimension of block radius and correlation lengths but the qualitative aspects (cylindrical radius and flexibility) remain unaltered.
For gels of 2a in DMF at 5% mass fraction the smeared spherical fractal model shows the presence of a longer fibrous network at 25 °C. The correlation length of 348 ± 2 Å at 5% mass fraction is 115 Å longer than that for 2% mass fraction sample. However, in both cases the structure disrupts at 80 °C, evidenced by fitting to a power law. The resultant spherical aggregates of 11 Å for 5% mass fraction are about 2 Å larger than those at 2% mass fraction. Upon cooling, the gel reforms in DMF with slightly a longer correlation length of 387 Å but similar block radius of 6.5 Å. In contrast, an increment of 1 Å in block radius is observed in DMF at 2% mass fraction. The fractal dimensions are again unaffected by the concentration, solvent and temperature changes. Again, in both cases an increase in the correlation length is observed before and after heating, but the effect is less marked at higher concentration (difference of 250 Å vs. 60 Å). The gel also shows a longer initial gel fibre length at higher concentration (5 wt%).
The SANS results demonstrate an interesting annealing effect on the fluorinated gels which is absent for the non-fluorinated analogues, and may be analogous to Ostwald ripening. The data show that in DMSO the gel structure is retained right up to the Tgel of the materials (80 °C) but that fully reversible collapse to spherical aggregates occurs if the Tgel is exceeded (DMF data). The aliphatic gelator 1d shows thermo-reversible behavior in both DMF and DMSO. A change in concentration for 2a, shows a change in the local structure but qualitative aspects of the network such as fibre rigidity and cylinder radius remain unaltered. The SANS data reveal that the physical appearance of a gel is not a good indicator of its structure and demonstrates that SAFINs can anneal from disordered, defect-filled metastable structures to more ordered networks, or may exhibit full thermoreversibility. Moreover the gel structure behaves as a solid network even while undergoing significant changes in fibre rigidity, connectivity, and size. Interestingly, the metastable nature of the initially formed fluorinated gels and their short contour length does not adversely affect their elastic properties. These SANS results address, for the first time, some of the questions pertaining to the self-assembly and maturation phenomena of SAFINs. This kind of study lends unique insight into the formation, growth and ripening in nanoassemblies and related self-assembled complex networks.
Supramolecular gels have recently been shown to have novel applications as pharmaceutical crystal growth media. Gel phase crystal growth limits convection effects and can result in control of polymorphism and crystal habit. Supramolecular gels allow tailored access to non-aqueous solvents and can be removed under mild conditions by the introduction of competitor hydrogen bond acceptors such as anions.39–46 The low mgc values and transparency of the gels formed by compounds 2a and 2b makes them good candidates for the crystallisation of drug compounds. Moreover, fluorination is often used as a site protection strategy in drug design,47 suggesting that some fluorinated drugs such as lansoprazole and fluoxetine might be compatible with fluorous gelators. Work is ongoing on the application of compounds of type 2 in this regard and further SANS studies probing the simultaneous, orthogonal self-assembly of gels networks and included pharmaceutical crystals will be reported in due course.
Footnotes |
| † Electronic supplementary information (ESI) available: Crystallographic information in CIF format for the structure of 2a (CCDC 1412542). Experimental details covering synthesis of new compounds, rheology, Tgel measurement, XRPD and SANS analysis. See DOI: 10.1039/c5sm01865j. The underlying research data for this paper is available in accordance with EPSRC open data policy from http://dx.doi.org/10.15128/73666481z |
‡ Crystal data: C106H68N12O7F102; MW = 3559.58 g mol−1; T = 120 K; λ = 0.68890 Å; triclinic space group P ; a = 13.287(3) Å; b = 14.229(3) Å; c = 18.870(4) Å; α = 70.476(2)°; β = 72.879(2)°; γ = 85.688(2)°; V = 3212.4(12) Å3; Z = 3; R1 = 0.0543; wR2 = 0.1567. |
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