3.1. Formation of the inclusion compounds
Host compounds H1‒H3 were each crystallized from TMU, and after 1H NMR analyses on the so-formed crystals, it was revealed that complexes were successfully formed in each instance. The host:guest (H:G) ratio of each of the complexes was consistently 1:2. This ratio was also obtained by the research group of de Vries et al for the TMU-containing complex with H1 [19].
3.2. Single crystal X-ray diffraction (SCXRD) analyses
The crystal structures of the three complexes produced in this work were analysed by SCXRD. Table 1 contains the relevant crystallographic parameters pertaining to these analyses. These inclusion compounds crystallized in the monoclinic space group P21/c, and their analyses were performed in P21/c for H1×2(TMU) and in the alternative setting P21/n for both H2·2(TMU) and H3·2(TMU). The structure of H1×2(TMU) reported by de Vries et al [19] crystallized in the same crystal system and space group as that in our own laboratory. However, their SCXRD analysis was carried out at 183 K and, in an attempt to improve upon their data (they reported a high wR2 factor, 0.2020), we conducted this experiment for H1×2(TMU) at a significantly lower temperature of 100 K (Table 1). However, the results that we obtained closely mimicked those of de Vries and colleagues (wR2, 0.2064), and the crystal structure shared very similar characteristics with respect to, for example, the disorder in the methyl groups of the TMU molecule over two positions, as well as other structural parameters (including the R1-factor and the goodness of fit, S).
Figures 1a‒c illustrate the unit cell with the host-guest packing motif in each complex (left) and the guest accommodation type (right). From Figures 1a and b, the guest molecules in H1·2(TMU) and H2·2(TMU) are located in infinite, unidirectional channels which are parallel to the a-axis, while in H3·2(TMU), four guest molecules are observed in an X-shaped cavity, best visualized along the c-axis (Figure 1c, bottom).
Table 1 Relevant crystallographic data for H1·2(TMU), H2·2(TMU) and H3·2(TMU).
|
H1·2(TMU)
|
H2·2(TMU)
|
H3·2(TMU)
|
Chemical formula
|
C32H22O2·2(C5H12N2O)
|
C28H18O2·2(C5H12N2O)
|
C38H26O2·2(C5H12N2O)
|
Host:guest ratio
|
1:2
|
1:2
|
1:2
|
Molecular mass (g·mol‒1)
|
670.83
|
618.75
|
746.92
|
Temperature (K)
|
100
|
100
|
100
|
μ (Mo-Kα)/mm‒1
|
0.080
|
0.083
|
0.079
|
Crystal system
|
monoclinic
|
monoclinic
|
monoclinic
|
Space group
|
P21/c
|
P21/n
|
P21/n
|
a/Å
|
8.4265(14)
|
9.6788(4)
|
16.488(3)
|
b/Å
|
12.7725(18)
|
9.6842(4)
|
15.810(2)
|
c/Å
|
16.920(2)
|
17.4175(6)
|
16.997(3)
|
alpa/°
|
90
|
90
|
90
|
beta/°
|
99.772(6)
|
94.330(1)
|
115.189(5)
|
gamma/°
|
90
|
90
|
90
|
Volume/Å3
|
1794.6(4)
|
1627.91(11)
|
4009.4(11)
|
Z
|
2
|
2
|
4
|
F(000)
|
716
|
660
|
1592
|
Restraints
|
8
|
0
|
0
|
Nref
|
4454
|
4035
|
9974
|
Npar
|
234
|
212
|
513
|
R1 [I > 2σ(I)]
|
0.0855
|
0.0405
|
0.0411
|
wR2 [I > 2σ(I)]
|
0.2064
|
0.1003
|
0.0977
|
S
|
1.053
|
1.036
|
1.038
|
θ min‒max/°
|
2.0‒28.3
|
2.3‒28.3
|
1.9‒28.4
|
Tot. data
|
38477
|
33552
|
109008
|
Unique data
|
4454
|
4035
|
9974
|
Observed data [I > 2σ(I)]
|
3534
|
3489
|
8249
|
Rint
|
0.066
|
0.0405
|
0.0411
|
Completeness
|
0.996
|
0.995
|
0.997
|
Min. resd. dens. (e/Å3)
|
‒0.92
|
‒0.25
|
‒0.37
|
Max. resd. dens. (e/Å3)
|
1.26
|
0.37
|
0.34
|
CCDC number
|
2358396
|
2358402
|
2358403
|
In each complex, the guest molecules are retained in the crystals by means of classical (host)O‒H···O(guest) hydrogen bonding interactions. These are illustrated in Figures 2a‒c (for H1·2(TMU), H2·2(TMU) and H3·2(TMU)). More specifically, Figures 2a and c are stereoviews of these interactions for clarity; in the complex H1·2(TMU) (Figure 2a) the host molecule is located on a centre of inversion and interacts with two inversion-related TMU molecules through identical hydrogen bonds in which each methyl group of the guest species is disordered over two positions, as discussed earlier (two views are provided, one showing only the major disorder guest component (left) and the other, both guest disorder components (right)), while in the complex H3·2(TMU) (Figure 2c), no disorder is present and the two guest molecules are not inversion related. However, once more, the two TMU molecules are related by inversion in H2·2(TMU) (Figure 2b) (the host molecule is, again, positioned on a centre of inversion), and no disorder is evident here either.
Table 2 summarises these classical hydrogen bonding parameters.
Table 2 Host···guest classical hydrogen bonding parameters in the three complexes.
Complex
|
H···O/Å
|
O···O/Å
|
∠DHA/°
|
H1·2(TMU)
|
1.88
|
2.719(3)
|
174
|
H2·2(TMU)
|
1.82
|
2.661(1)
|
174
|
H3·2(TMU)
|
1.91
|
2.709(1)
|
160
|
|
1.95
|
2.672(2)
|
144
|
Owing to the two guest molecules being related by inversion in their respective unit cells in the H1 and H2 complexes, these hydrogen bond parameters are identical (1.88, 2.719(3) Å, 174° and 1.82, 2.661(1) Å, 174°, respectively), while these parameters are unique to each of the two crystallographically independent TMU molecules in H3·2(TMU) (1.91, 2.709(1) Å, 160° and 1.95, 2.672(2) Å, 144°). de Vries and coworkers also reported this host···guest classical hydrogen bond in the H1·2(TMU) complex [19], and with very similar bond parameters (1.81, 2.72(1) Å, 178°) as reported in the present work, but with somewhat lower precision in the O···O distance).
Not only are classical bonds of this type present in these complexes, but so too are non-classical (host)C‒H···O(guest) and (guest)C‒H···O(host) interactions, one in H1·2(TMU) and two and three in H2·2(TMU) and H3·2(TMU), respectively. These interactions, their parameters being summarised in Table 3, range from 2.45 to 2.67 Å (H···A) and 3.260(2) to 3.478(2) Å (C···O), with the associated ∠DHA angles between 133 and 157°. It is interesting to note that three of the non-classical hydrogen bonds are of the (guest)C‒H···O(host) type. Figures 3a‒c are depictions of these interactions (note that the classical hydrogen bonds between the host and guest molecules have been repeated in these figures).
Table 3 Host···guest and guest···host non-classical hydrogen bond parameters in the three complexes.
Complex
|
H···O/Å
|
C···O/Å
|
∠DHA/°
|
H1·2(TMU)
|
2.46a
|
3.350(3)
|
157
|
H2·2(TMU)
|
2.57a
|
3.326(1)
|
137
|
|
2.50b
|
3.415(2)
|
156
|
H3·2(TMU)
|
2.67a
|
3.260(2)
|
153
|
|
2.55b
|
3.273(2)
|
133
|
|
2.58b
|
3.478(2)
|
152
|
a(Host)C‒H···O(guest).
b(Guest)C‒H···(host).
In addition to intermolecular hydrogen bonding, intramolecular non-classical (guest)C‒H···N(guest) hydrogen bonds are also present but their angles are, understandably, low (2.34‒2.53 Å (H···N), 2.722(7)‒2.907(2) Å (C···N), 102‒105°).
Additionally, the H1·2(TMU) and H3·2(TMU) complexes have two C‒H(guest)···π(host) interactions (Figures 4a and c) through the guest methyl hydrogen atoms, which further facilitate guest retention in their complexes. Applicable distances in H1·2(TMU) measure 2.95 and 2.68 Å (H···π), 3.926(7) and 3.649(10) Å (C‒H···π), with associated angles of 172 and 169°, respectively, while these parameters in H3·2(TMU) are 2.75 and 2.78 Å, 3.7233(17) and 3.7016(18) Å, and 170 and 158°. The complex H2·2(TMU) has only one contact of this type (2.75, 3.4246(13) Å and 127°) (Figure 4b).
Finally, a single (guest)C‒H···CAr(host) interaction was also identified in H2·2(TMU) (Figure 5), measuring 2.88 Å (127°).
After quantification of the (host)H···O(guest) interatomic interactions, the percentages that were obtained were, in H1·2(TMU), 7.3% for the complex with the set of disorder guest components 1 (major) and 10.3% for that with the set of disorder guest components 2 (minor), in H2·2(TMU), 8.4%, and in H3·2(TMU), 7.9%, respectively. These were all therefore reasonably comparable. The Hirshfeld surface investigation carried out by de Vries et al [19] showed that the percentage of the (host)H···O(guest) interactions that they calculated was 9%, which is the average of the two values found in the present work (7.3 and 10.3%, since we considered each disorder guest component independently).
3.3. Thermal analyses
Thermal analyses were carried out on each of H1·2(TMU), H2·2(TMU) and H3·2(TMU) in order to investigate their relative thermal stabilities. The resultant curves (overlaid TG (red) and DTG (olive green)) are provided in Figures 7a‒c, while Table 4 summarises the more relevant data from these curves. These plots indicate that for all three complexes, their respective enclathrated TMU contents escaped from the crystals in a single step. The Ton values (the onset temperature of the guest release event which also serves as a measure of the relative thermal stability of the complex) were extremely similar (83.1 and 81.1 °C) for the TMU complexes with H1 and H2 (Figure 7a and b), while this temperature for H3·2(TMU) was significantly higher, 90.3 °C (Figure 7c). Tend, the temperature at which the last of the guest has been released, which is unrelated to Ton, decreased in the order H1·2(TMU) > H3·2(TMU) > H2·2(TMU). In the report of de Vries et al [19], the Ton was 99 °C for H1·2(TMU), which is significantly different to the 83.1 °C that was measured in our laboratories; the reason for this anomaly may be that their heating rate differed from 10 °C·min‒1 (this rate was not unambiguously stated in that work).
Table 4 Thermal data for the three complexes.
Complex
|
Tona/°C
|
Tendb/°C
|
Measured mass loss/%
|
Calculated mass
loss/%
|
H1·2(TMU)
|
83.1
|
161.1
|
35.7
|
34.7
|
H2·2(TMU)
|
81.1
|
151.9
|
37.1
|
37.6
|
H3·2(TMU)
|
90.3
|
160.0
|
31.2
|
31.1
|
aTon is the onset temperature for the guest release process.
bTend is the temperature indicating the end of the guest release event.
The expected mass losses correlated closely with those that were determined experimentally, thus confirming the 1:2 H:G ratios as obtained from 1H NMR spectroscopy. Interestingly, the percentage TMU released upon heating H1·2(TMU) at 10 °C·min‒1 was significantly closer (35.7%) to the theoretical loss calculated (34.7%) compared with the work of de Vries and colleagues (30.0%) [19].
3.4. Kinetics of the guest release event
The TG curves of the complexes of H1, H2 and H3 with TMU at the various heating rates are provided in Figures 8a‒c. The final experiment with the H2·2(TMU) complex, at 32 °C·min‒1, was carried out in triplicate since the curve appeared to be an outlier; however, this was not the case since the same result was obtained each time (the curves for these repeated TGs and the plots used to determine Ea have been deposited in the SI, Figures S3 and S4, with associated values in Tables S4 and 5). The average total mass losses calculated for the complexes with H1, H2 and H3 were 35.8, 36.7 and 31.2%, respectively. The plots of ln(β/βo) against 1000/T for each of the complexes H1·2(TMU), H2·2(TMU) and H3·2(TMU) are illustrated in Figures 9a‒c. These were obtained by considering mass losses of 10 to 90% (α) of the total mass loss, in increments of 10% each time. The activation energies for each of the complexes were then calculated from the slopes of these plots (SI, Tables S1‒S3).
The average activation energy (Ea) of desolvation was calculated to be 148.7 ± 5.4, 128.6 ± 10.8 and 149.4 ± 0.8 kJ·mol‒1 for H1·2(TMU), H2·2(TMU) and H3·2(TMU), respectively. In Figures 9a and c, the lines are all parallel, which indicate that there is a single mechanism at work for the desolvation of the guest species from the complex [8]. The lines obtained for H2·2(TMU) (Figure 9b), however, do not all appear to be parallel (largely as a result of the line at 90% mass loss, as discussed earlier) and, therefore, the mechanism of guest release, quite plausibly, varies as a function of the extent of desolvation. Since the host compounds are not identical, comparisons of these energies are not valid.