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Further structural proof came from EPR spectroscopy, which is known to give a signal for partially reduced radical anions of the PDI groups. 86 Notably, its peak width depends on the number of PDI groups associated with the electron hopping process, making it possible to confirm or contradict the proposed model of pairwise interactions. After reduction with sodium dithionite, both aggregates showed an EPR signal with a width of 3.01 G in accordance with electron hopping between two PDI groups (pairwise interactions). 86

M. Sawada, Y. Takai, T. Kaneda, R. Arakawa, M. Okamoto, H. Doe, T. Matsuo, K. Naemura, K. Hirose and Y. Tobe, Chem. Commun., 1996, 1735–1736 RSC.L. Castanar, R. Roldan, P. Clapes, A. Virgili and T. Parella, Chemistry, 2015, 21, 7682 CrossRef CAS PubMed . L. Paudel, R. W. Adams, P. Kiraly, J. A. Aguilar, M. Foroozandeh, M. J. Cliff, M. Nilsson, P. Sandor, J. P. Waltho and G. A. Morris, Angew. Chem., Int. Ed., 2013, 52, 11616 CrossRef CAS PubMed . The complexity of the NMR spectra for mixtures has several origins. First, similar compounds have similar spectra and as a result the spectrum of a mixture may be complex even with a moderate number of detectable compounds. Second, the number of compounds can be very large. This is for example the case in biofluids or extracts of biological samples. In the spectra of mixtures, signal overlap prevents the reliable identification and accurate quantification of signals. The assignment of each signal in the spectrum to a specific compound, even resolved one, is also not trivial. Note that samples such as natural organic matter, which comprise tens of thousands of compounds that are mostly unknown, and call for the use dedicated methods, are outside the scope of the review. 4 N. Eshuis, N. Hermkens, B. J. van Weerdenburg, M. C. Feiters, F. P. Rutjes, S. S. Wijmenga and M. Tessari, J. Am. Chem. Soc., 2014, 136, 2695 CrossRef CAS PubMed . Taking this data in combination, the absence of an encapsulation process would have been unlikely. Nevertheless, conclusive proof was found with 2D DOSY spectroscopy which recorded the diffusion coefficients of glutaric acid and of the hexameric cage, isolated and also when combined in solution. As expected, the free glutaric acid diffuses faster ( D = 1.05 × 10 −5 cm 2 s −1) than the hexameric cage ( D = 0.24 × 10 −5 cm 2 s −1) due to its smaller size. By contrast, when measuring the encapsulated guest, the diffusion coefficient is significantly reduced ( D = 0.24 × 10 −5 cm 2 s −1), showing approximately the same value as the cage. Therefore, it was proven that the complex diffuses through solution as one supramolecular entity. Study example B This example considers non-covalently bound oligomers, another relevant molecular class in the field of supramolecular chemistry. 31 In particular, a calix[5]arene, consisting of four methylene-bridged phenyl-ether units and a single 12-aminododecyl substituent (structure 3 in Fig. 2C), was synthesised and studied with 1H-NMR and DOSY NMR in the absence and the presence of acids. The aim of this study was to investigate possible oligomerisation of the calix[5]arene induced by the protonation of the amino-group and its subsequent inclusion in another calix[5]arene molecule ( Fig. 2C top). This was suggested by the 1H-NMR spectrum of 3 with HCl, showing different peak sets of either the unthreaded groups at the ends of the oligomer or the threaded core units.

T. R. Eichhorn, A. J. Parker, F. Josten, C. Muller, J. Scheuer, J. M. Steiner, M. Gierse, J. Handwerker, M. Keim, S. Lucas, M. U. Qureshi, A. Marshall, A. Salhov, Y. Quan, J. Binder, K. D. Jahnke, P. Neumann, S. Knecht, J. W. Blanchard, M. B. Plenio, F. Jelezko, L. Emsley, C. C. Vassiliou, P. Hautle and I. Schwartz, J. Am. Chem. Soc., 2022, 144, 2511 CrossRef CAS PubMed . S. Korchak, L. Kaltschnee, R. Dervisoglu, L. Andreas, C. Griesinger and S. Gloggler, Angew. Chem., Int. Ed., 2021, 60, 20984 CrossRef CAS PubMed . Homonuclear broadband decoupling methods can give excellent resolution for 1D 1H spectra. For this reason, they can help to distinguish peaks that overlap in an undecoupled 1D 1H spectrum. 17 The BIRD, ZS and PSYCHE broadband decoupling methods all come with a sensitivity penalty. For BIRD, since only 13C-bound protons contribute to the signal, the penalty is almost 100-fold. For the ZS methods, there exists a compromise between sensitivity losses and the minimum frequency difference between decoupled spins, and it results in a sensitivity loss of 10 to 50-fold. For PSYCHE, there is a trade-off between sensitivity and the size of decoupling artefacts, which is controlled through the flip angle of the frequency-swept pulses. A sensitivity loss of about a factor of 5 to 10-fold is typically reported.Sample transfer from solution phase to the vacuum of the mass analysers may influence the strength of non-covalent interactions, especially those competing with or depending on solvent or counterions. Electrostatic interactions will be stronger in the absence of any screening effects from solvent which can alter the lowest energy conformation. This argument, for example, also applies to hydrogen bonds, whereas hydrophobic interactions are weakened in the gas phase due to the absence of polar solvent molecules. The transfer from solution to the desolvated state may affect other properties, as described previously, 44,45 but for samples stable in hydrophobic solvents, with a low dielectric constant, it is likely that the gas phase structure (where the dielectric constant is 1) will be highly similar to the solvated one. Instead of enumerating the CCS values, Kruve et al. here introduced the so-called “floppiness parameter” Fl, which is the quotient of the charge-corrected arrival time of the parent ion and the charge- and mass-corrected arrival time of the least entangled (often linear) fragment ion ( eqn (1)). 52 M. Urbanczyk, A. Shchukina, D. Golowicz and K. Kazimierczuk, Magn. Reson. Chem., 2019, 57, 4 CrossRef CAS PubMed . J. Farjon, C. Milande, E. Martineau, S. Akoka and P. Giraudeau, Anal. Chem., 2018, 90, 1845 CrossRef CAS PubMed .

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