So Similar, yet so Different: The Case of the Ionic Liquids N-Trimethyl-N (2-methoxyethyl)ammonium Bis (trifluoromethanesulfonyl)imide and N,N-Diethyl-N-methyl-N(2-methoxyethyl)ammonium bis(trifluoromethanesulfonyl)imide

Two ethoxy containing ionic liquids (ILs) sharing the same anion, N-trimethyl-N (2-methoxyethyl)ammonium bis(trifluoromethanesulfonyl)imide (N111(2O1)-TFSI) and N,N-diethyl-N-methyl-N (2-methoxyethyl)ammonium bis(trifluoromethanesulfonyl)imide (N122(2O1)-TFSI), and their mixtures are studied by means of differential scanning calorimetry and infrared spectroscopy combined with DFT calculations. The two ILs, slightly differing only for the length of two short chains, diverge significantly in the thermal properties: N111(2O1)-TFSI undergoes to a crystallization upon cooling, whereas N122(2O1)-TFSI is likely to become a glass. Experimental results indicate that in N111(2O1)-TFSI the occurrence of hydrogen bonding is energetically favored, and become particularly evident in the solid phase. The comparison with computational results indicates that it could be ascribed to the CH bonds involving the C atoms directly linked to the central N atom. In N122(2O1)-TFSI, DFT calculations suggest that hydrogen bonding could take place; however, IR measurements suggest that hydrogen bonding is not energetically favored. Moreover, in N122(2O1)-TFSI there is a larger conformational disorder that prevents from the alignment of cation and anion that contributes to the detection of clear hydrogen bonding infrared active bands. The mixtures rich in N111(2O1)-TFSI crystallize at lower temperatures than the pure ionic liquid. Progressively, the energy gain due to the instauration of hydrogen bonding decreases as the concentration of N122(2O1)-TFSI increases.


INTRODUCTION
Ionic liquids (ILs) are attracting large interest due to the specific properties they possess: low volatility, low flammability, large liquid temperature ranges and high thermal and electrochemical stability [1]. Moreover, a proper matching between anion and cation allows tailoring the required physical-chemical properties. The large number of available anions and cations as well as the facile solubility with other ILs or organic solvents to form homogeneous solutions further widens the possible applications [1].
In the last years, the chemical modification of the cations has also emerged as an effective method to modify the properties of ILs [2]. Indeed, most cations contain alkyl chain, whose length strongly modify the melting point of the resulting ILs, which in general decreases with longer alkyl chains [1]. Moreover, other functional groups can be bonded to the alkyl chain, like hydroxyl and ethoxy groups. Ethoxy functionalization of alkyl chains apparently tunes the functional properties of the IL in many different application fields: antimicrobial activity [3,4], extraction of pesticides and fruit metabolites in the field of food manufacture [5], synthesis of foaming-defoaming materials [6], inhibition of some enzymes [7], recovery and separation of rare earth elements from aqueous solutions [8] or to mitigate the corrosion of carbon and mild steel in acidic media [9,10].
We recently investigated [33,34] the physical and electrochemical properties of two ethoxy containing ILs, having the same anion and similar cations, differing only for the length of two side short alkyl chains N-trimethyl-N (2methoxyethyl)ammonium bis(trifluoromethanesulfonyl)imide (N111(2O1) -TFSI) and N,N-diethyl-N-methyl-N (2methoxyethyl)ammonium bis(trifluoromethanesulfonyl)imide (N122(2O1)-TFSI) (see Figure 1) [33,34]. These two ILs have a similar decomposition temperature and vapor pressure [34] and close values of the ionic conductivity at 50°C [33]. However, despite the similarities between the two ILs, they show a completely different behavior as a function of temperature: while N122(2O1)-TFSI transforms into a glassy state at low temperatures, N111(2O1)-TFSI has a crystalline-liquid phase transition around 310 K, as shown by conductivity measurements [33]. In this work we investigate the origins of similarities and differences between N111(2O1)-TFSI and N122(2O1)-TFSI at molecular level by means of infrared spectroscopy measurements as a function of temperature coupled with computational modeling. To shed more light on the impact of the various molecular structures on the macroscopic properties of the liquids/solids we extended the experimental study also to some mixtures of the two ionic liquids.
We particularly focus on the formation of hydrogen bonds at various temperatures. Generally speaking hydrogen bonds are particularly strong in protic ionic liquids, but they have been recently observed also in aprotic ILs. While in protic ILs the involved bonds are NH . . . O, in aprotic ILs the hydrogen bonds in most cases originates in the weaker CH . . . O interactions. In ILs there are many competing forces, due to the complexity of the systems; in particular hydrogen bonds energetically compete with dispersion forces originating mainly among the tails of the cations. Hydrogen bond formation typically drives the assembling of molecules into crystalline solids, due its directionality that facilitates the growth of well-ordered 3D periodic arrangements [35].
Infrared spectroscopy, eventually supported by DFT calculations, was proved to provide useful information about the interactions between anion and cation in ILs and the possible occurrence of conformational disorder [32,[36][37][38][39][40][41][42][43][44]. Indeed, all the properties of ILs are the consequence of competitive microscopic interaction forces, therefore the knowledge of the microscopic properties and of the intermolecular forces is fundamental to tackle the prediction skills required for the design of ILs with specific macroscopic properties. With this aim, we also investigated the possibility of exploiting the different properties of the two liquids by mixing them to achieve a tailored system. A set of mixtures obtained by mixing in a different amount the two ILs has also been characterized by both DSC and IR spectroscopy. These investigations show that the two starting ILs present significantly different thermal behavior as well as intermolecular interactions, which are likely linked to different microscopic behavior, while the mixtures retain the properties of the main component.
Differential scanning calorimetry (DSC) measurements were performed using a Mettler-Toledo DSC3, under an inert argon flux of 50 ml/min, cooling from 320 K down to 180 K and then heating back to 315 K at a temperature rate of 5 K min −1 .
Infrared absorbance measurements were performed at the AILES beamline of Soleil Synchrotron in the far infrared range (30-680 cm −1 ) by means of a Bruker IFS125 HR spectrometer, equipped with a bolometer detector and a Si coated mylar beamsplitter, with a resolution of 1 cm −1 . The sample was cooled from room temperature down to 120 K with a temperature rate of 5 K/min by means of a Cryomech cryopump and afterwards was heated back up to 330 K. In the mid infrared range (400-6,000 cm −1 ), absorbance experiments were conducted at CNR in Rome by means of an Agilent Cary660 spectrometer, equipped with a DTGS detector and a KBr beamsplitter, with a resolution of 1 cm −1 . The sample was cooled from room temperature down to 120 K and heated back to 350 K by means of a Specac Variable Temperature Cell Holder. For both type of measurements, a droplet of the ionic liquid was placed between the diamond optical windows of a cell for liquids, equipped with viton O-rings to avoid leaks and/or contaminations from air or water. A mylar spacer 10 (50) μm thick was used for measurements in the mid-(far-) infrared range.
A computational study of both the single ions and the ionic couples composing the ILs here investigated was conducted by means of the Spartan software [45]. In both cases, a preliminary investigation of the possible conformers of the single ions or of the ionic couples was performed by systematic rotations of 120°of the flexible bonds by means of molecular mechanics. The identified geometries were afterwards optimized by means of DFT calculations and finally the vibration frequencies and infrared intensities were computed at the same level of theory.
To compare calculations with the experimental results, an expected absorption spectrum was generated summing Gaussian peaks centered at the calculated vibration frequencies, with intensity proportional to that obtained by calculations and a fixed variance of 10 cm −1 . For all DFT calculations, the 6-31G** basis set was employed, with the ωB97X-D functional including empirical dispersion corrections and the presence of a polar solvent (dimethylformamide, ε r = 37.22).
This choice of DFT functional, basis set and polar medium was motivated by our previous survey study on protic ILs, in which hydrogen bonding is of primary importance, where we demonstrated the superior performance of theωB97X-D functional compared to the more common B3LYP for a general interpretation of the infrared spectra of ILs [44].

Computational
To study the possible interactions between the TFSI anion and the different cations, a computational study of the ion pairs composing the two pure liquids has been performed. Figure 2 shows the lowest energy configurations of the N111(2O1)-TFSI and N122(2O1)-TFSI ionic couples, as obtained by DFT calculations with the 6-31G** basis set and the ωB97X-D functional, including empirical dispersion corrections and the presence of a polar solvent (dimethylformamide, ε r = 37.22). The TFSI is found to be in its trans-configuration, which is experimentally detected to be energetically favored with respect to the cis-one [38,39].
In both ionic couples there are many H atoms attached to C atoms of the cation pointing towards the O atoms of the anion. Table 1 reports the most significant HO distances and CHO angles in the two ionic couples, with reference to the labeling of Figure 2.
It can be noted in Table 1 that there are some short H-O distances, of about 2.3 Å or less, and among these we can also find some partial alignment of the CH bond of the cation and the O atoms of the anion; in particular we can notice two almost aligned (around 150°) H-O short distances in N111(2O1)-TFSI and one in N122(2O1)-TFSI. It is worth noting that the CH bonds closer and more aligned to the anion O atoms involve in both cases C atoms directly linked to the central N atom. The calculated values suggest the occurrence of a weak to moderate interaction [46][47][48][49]. Indeed, although the CH . . . O interaction is classified as a possible hydrogen bond analogue to NH . . . O, the former is much less intense and gives rise to an energy gain much smaller compared to the latter, due to the stronger covalent character of the C-H bond compared to the N-H one [46].
DFT calculations can also help in defining the degree of conformational disorder present in each IL. In fact, the systematic investigation of the possible conformers of the two ILs indicates that N122(2O1)-TFSI possesses 126 conformers whose energy differ by no more than 10 kJ/mol from the lowest energy one; on the contrary, N111(2O1)-TFSI has only 3 conformers within such an energy range (see Supplementary   Table S4 for the atomic positions of the atoms in the ionic couples). Therefore, at room temperature there is a large number of possible conformers populated for N122(2O1)-TFSI and only a few for N111(2O1)-TFSI. Based on these findings, N122(2O1)-TFSI is expected to be more disordered at molecular level than N111(2O1)-TFSI.

Differential Scanning Calorimetry Measurements
DSC measurements were performed to investigate the evolution of thermodynamic phases as a function of temperature and relative concentration of the ILs. The DSC curves of the two pure ILs and of their mixtures are shown in Figure 3. The curve of the N111(2O1)-TFSI sample measured on cooling (See SI) displays an exothermic peak around 265 K indicating the occurrence of crystallization, while on heating back an endothermic peak is detected around 310 K corresponding to the melting. These findings agree with previous electrical conductivity experiments which showed that N111(2O1)-TFSI undergoes a solid-liquid phase transition around 310 K [33]. On the contrary, the curves measured for the N122(2O1)-TFSI sample both on cooling and heating do not display relevant features, pointing toward the occurrence of an eventual glass transition at a temperature below our lower experimental limit. Indeed, this hypothesis is in agreement with previously reported electrical conductivity measurements of N122(2O1)-TFSI that revealed a Vogel-Fulcher-Tammann behavior between 233 and 353 K, which is typical of an IL undergoing a glass transition at low temperature [33].
The DSC curves measured for the S18.9, S9.1 and S4 samples are very similar to those measured for the N111(2O1)-TFSI sample, as they display an exothermic peak on cooling and an endothermic process on heating back. These features indicate that the mixed samples with a higher amount of the N111(2O1)-TFSI liquid crystallize on cooling and then melt on heating, with the presence of the N122(2O1)-TFSI sample resulting in the lowering of the transition temperatures compared to those ones reported for the N111(2O1)-TFSI main liquid component. It can be noted that the melting temperature decreases as the relative concentration of N122(2O1)-TFSI increases, passing from 313 K in pure N111(2O1)-TFSI to 306 K in S4.
The DSC curve of the S1 sample on cooling does not display relevant features indicating that a further increase in the amount of the N122(2O1)-TFSI sample in the mixed system suppresses   however, a broad and very large bump is observable above 240 K, which is followed, on further heating, by an endothermic peak whose minimum is around 293 K. These features are the signature of the occurrence of a cold crystallization on the heating scan, followed by the melting at higher temperatures. It is worth noting that the occurrence of the so-called "cold crystallization" has been reported for many ILs and that this kind of transition corresponds to the transformation of a metastable phase, reached at low temperatures, towards the stable crystalline state. In summary, even the mixture with the highest N122(2O1)-TFSI content (S1) can display a crystalline phase, even though the kinetics of the transformation is quite slow. These results agree with previous report [50] indicating that the properties of a mixture of ILs are highly dependent not only on the nature of the added liquid, but also on the relative amount of the mixed liquids.

Infrared Spectroscopy
To investigate the microscopic changes occurring during the different phases previously described for both the pure ILs and their mixtures as well as to obtain information about the different kind of interactions governing these phases, we performed a detailed IR study of the vibrational properties of all the samples as a function of temperature.
In the following, the reported experimental results will be divided into three sections, according to the different frequency ranges to be investigated: 1) the frequency range between 550 and 700 cm −1 , where one finds the markers of the TFSI conformers; 2) the range below 250 cm −1 , where in similar ILs one finds the peaks due to dispersion forces and hydrogen bonding; 3) the spectral range between 2,770 and 3,100 cm −1 , where one finds the CH stretching bands. heating from about 110 K in the wavenumber region where the markers of the conformers of TFSI are present. TFSI shows two conformers, namely cis and trans, that give rise two slightly different IR spectra: cis-TFSI displays two absorption bands centered around 600 and 650 cm −1 , while trans-TFSI shows one intense absorption around 620 cm −1 .

Temperature Evolution of the TFSI Conformers
The occurrence of phase transitions as a function of the temperature has already been detected in TFSI containing ILs by means of the temperature evolution of the infrared spectral markers of the two anionic conformers of the anion [32, 37-39, 51, 52]. In the liquid phase both conformers coexist in equilibrium following the Boltzman distribution. When crystallization occurs, only one of them survives, usually the trans conformer, that is the most thermodynamically stable, with rare exceptions that can be mainly found in ILs containing cations with long alkyl chains [38,39,53]. On the contrary, upon vitrification, both conformers survive, and usually their concentrations become frozen in the glass state [39].
Regarding N111(2O1)-TFSI, one can note in Figure 4, that both conformers of the anion are present above 316 K, but the absorptions of cis-TFSI, centered around 600 and 650 cm −1 , disappear below 301 K and are barely visible in the spectrum measured at 301 K, confirming the occurrence of a solid state below 301 K and of a liquid phase above 316 K.
Conversely, as reported in Figure 4, in N122(2O1)-TFSI both conformers of the anion are present at all temperatures between 104 and 303 K in agreement with the possible occurrence of a glass transition at lower temperatures. The present measurements extend the investigation of the different phases of this ionic liquid down to 104 K.
Moreover, the spectra of samples S18.9, S9.1 and S4 at low temperatures ( Figure 4) only present the absorption line of the trans-TFSI conformer around 620 cm −1 :on heating, above 305, 285 and 270 K respectively for the three mixtures. Moreover, the lines of the cis conformer are detectable around 600 and 650 cm −1 confirming the occurrence of a melting in accordance with DSC results.
Sample S1 (see Figure 4) instead, at low temperature presents contributions from both conformers, while around 220 K the lines due to the cis conformer disappear and only the absorption around 620 cm −1 is visible suggesting the occurrence of a solid crystalline state. On further heating, already at 240 K both conformers are present indicating the melting of the sample towards a liquid phase. These features agree with the DSC measurement showing the occurrence during heating of a cold crystallization and a subsequent melting for S1. In general, for all concentrations of the ILs, the IR measurements are well consistent with the phase transformations observed by means of DSC.  Concerning sample S1 these two absorptions also present a rather smooth evolution, even if a small difference in their relative intensity between 220 and 250 K could be an indication of the occurring of the cold crystallization. Besides these peaks ascribed to TFSI, in this frequency range, absorptions due to intramolecular interactions can usually be found. In many ILs a very broad peak can be detected around 80-90 cm −1 at high temperatures [40][41][42][43][44], which has been attributed to the dispersion forces acting in these materials.

Dispersion Forces and Hydrogen Bonding
In the present case, this feature is visible for all the samples: indeed at high temperatures a well-developed absorption is centered at~80 cm −1 (at 330 K) in N111(2O1)-TFSI and at 70 cm −1 in N122(2O1)-TFSI. In the latter one, this feature only slightly shifts towards higher frequencies at low temperatures, reaching 90 cm −1 at 140 K. On the contrary, in the solid phase of N111(2O1)-TFSI and of the samples S18.9, S9.1 and S4 the broad band splits, and especially at the lowest temperatures one can observe two much narrower peaks centered around 80 and 100 cm −1 . Moreover, in these samples a large and poorly intense peak, centered around 170 cm −1 at 330 K, strongly increases its intensity at low temperatures. On the contrary, the equivalent band in N122(2O1)-TFSI seems not to show any temperature evolution. DFT calculations suggest that these bands are due to an internal movement of the cation both in N111(2O2)-TFSI and in N122(2O2)-TFSI.
DFT calculations on the N111(2O1)-TFSI and N122(2O1)-TFSI ionic couples provide evidence that hydrogen bonds (see Figure 2) give clear marks in the far infrared region, below 200 cm −1 . In fact, in both ILs one finds infrared active vibrations at 40 and 52 cm −1 , that can be ascribed to a bending of the hydrogen bond, by examining the associated atomic movements. Moreover, the visual inspection of the molecular movements suggests that there are three vibrations centered around 96, 107 and 118 cm −1 in N111(2O1)-TFSI and at 90, 104 and 130 cm −1 in N122(2O1)-TFSI associated to the stretching of the hydrogen bonds.
The splitting of the broad band centered around 80 cm −1 has been previously observed in ILs exhibiting hydrogen bonding, in particular in protic ILs where this kind of bonding is more intense [40-44, 46, 54]. In general, in these ILs three contributions can be identified by means of a deconvolution fitting procedure of the absorption spectrum below 200 cm −1 : the central peak centered around 80-90 cm −1 , due to the dispersion forces, and two lateral bands due to the bending and the stretching modes of the hydrogen bonds, respectively. Moreover, in the liquid state, the hydrogen bonded configurations and the geometries governed by the dispersion forces are in thermal equilibrium, governed by the Boltzmann distribution. An analysis of the relative intensities of the bands due to the dispersion forces and to the hydrogen bonding can lead to the determination of their energy difference. One can define: r I Hbond I disp. where I disp is the intensity of the band describing the configurations dominated by the dispersion interactions and I Hbond is the intensity of the band describing the configurations dominated by the hydrogen bonding [40][41][42][43][44] after subtraction of a background. The ratio between the intensities of the vibrational bands of the two configurations provides the equilibrium constants, whose temperature variation can be described by the van't Hoff relation thus allowing the evaluation of the enthalpy difference between the two configurations by means of a linear fit. We performed this analysis in the liquid phase of the presently studied liquids by deconvoluting the spectrum below 200 cm −1 , attributing the bands centered around 80, 50 and 100 cm −1 to the dispersion forces, the bending and stretching of hydrogen bonding, respectively. The values obtained for the enthalpy difference between the configurations dominated by the dispersion interactions and those dominated by hydrogen bonding (see details and temperature dependence of ln (r) in the SI) are (13.21 ± 5.8) (11.6 ± 0.6) (9.56 ± 4.4) and (1.9 ± 0.2) kJ/mol for samples N111(2O1)-TFSI, S18.9, S 9.1 and S4, respectively. The obtained values display rather high relative errors, likely due to the small temperature range in which we performed measurements in the liquid phase (mainly between 300 and 340 K), but they confirm that the H-bonded ion pairs are favored in energy over the dispersion-interaction-dominated pairs. However, these values are lower than those previously obtained in the case of protic ILs:~34 kJ/mol, obtained by Fumino at al [43]. for trihexylammonium triflate (THA-TFO) and closer to the value of 5.2 ± 0.3 kJ/mol, recently reported for the CH . . . O hydrogen bonding in 1-ethyl-3methylimidazolium-trifluoromethanesulfonate [46]. Moreover, it can be noted that sample S4 presents a very low value for the enthalpy suggesting that in this case the differences between the configurations dominated by the dispersion interactions and those dominated by hydrogen bonding are smaller. This lowering of the ΔH value with decreasing the amount of N111(2O1)-TFSI IL in the mixtures agrees with the behavior obtained for the N122(2O1)-TFSI sample (see SI) where the ratio between the intensities of the vibrational bands of the two configurations seems to be independent on temperature, indicating a minor role for the hydrogen bonding compared to the dispersion interactions.
Furthermore, it is worth noting that the lower peak frequency of the stretching of hydrogen bonding points towards a much less intense hydrogen bond in the presently investigated sample with respect to protic ILs. Indeed, in N111(2O1)-TFSI the stretching bond is centered around 110 cm −1 , while it is detected at 158 cm −1 in DEMA-MS and at 150 cm −1 in DEMA-TfO [44].
Temperature Dependence of the CH Stretching Bands  the measured samples are in the liquid phase, they all present six main peaks centered around 2,830, 2,855, 2,905, 2,955, 3,000 and 3,055 cm −1 , even though their relative intensities differ. The absorption spectrum of the N122(2O1)-TFSI looks similar at all temperatures, similarly to what observed in the frequency range where the anion conformers absorption bands are detectable. The absorption spectrum of the N111(2O1)-TFSI sample, instead, changes in the low temperature crystalline phase, where the CH bands split and many less intense lines appear. The main difference between the liquid (Figure 6 line at 342 K) and solid state ( Figure 6, already at 301 K) concerns the bands above 3,000 cm −1 : two contributions at high T abruptly evolve into three sharp bands in the solid phase.
A behavior like that of N111(2O1)-TFSI is showed also by the mixtures S18.9, S9.1 and S4, whose spectra appear more structured at low temperature and in particular they all present a splitting into three well separated and narrow bands above 3,000 cm −1 . The sample S1 which, as showed before, on heating undergoes a cold crystallization before the melting, presents a similar spectrum at the highest and lowest temperatures, where it is supposed to be either in the glassy or liquid state. However, at intermediate temperatures (see Figure 6 curves measured at 240 and 250 K), where the cold crystallization occurs, its spectrum shows a splitting of the lines above 3,000 cm −1 , even if it is less evident than in the other samples.
A detailed attribution of these bands to specific movements in this cation is missing in the literature. In imidazolium cation, the CH absorption peaks were attributed with increasing frequencies to the whole alkyl chain, and to the imidazolium ring, with the C4, C5 and C2 carbon atoms involved [55]. In pyrrolidinium cation it has been suggested that from the lowest to the highest frequencies the bands are assigned to the terminal CH 3 group of the alkyl chain, to the whole alkyl chain, to the motions of the pyrrolidinium ring and finally to the CH 3 methyl group directly attached to the N atom [56].
The present DFT calculation on the N111(2O1)-TFSI couple suggest that the peaks at the highest wavenumbers are associated to the movements involving the C2H2, C3H3 and C4H4 bonds (see Figure 2 for labels) directly linked to the N atom, while moving to lower frequencies the other atoms belonging to the chain containing the ethoxy moiety become involved. Therefore, the measurements indicate that the absorption bands more affected by the transition to the solid state are those due to the movements of the atoms likely involved in hydrogen bonding.

DISCUSSION
DSC measurements clearly show that the two starting ILs, differing only for the length of two short chains, present significantly different thermal behavior as, on cooling, N111(2O1)-TFSI undergoes crystallization, while N122(2O1)-TFSI is likely to become a glass. This difference is accompanied by a different evolution of the anion conformers distribution, with the retention only of the low energy trans conformer in the solid phase of the N111(2O1)-TFSI sample. These findings are in close agreement with what was already observed for other ILs with the same anion conformer and cation with short alkyl chain [38]. Moreover, in mixtures with a predominant component of the N111(2O1)-TFSI sample, the crystallization behavior is still observed with the same anion conformer distribution. In a more diluted system, i.e. for the sample where the two different ethoxy functionalized liquids are present in the same ratio, a different behavior is observed. Indeed, this mixture does not crystallize on cooling, similarly to the N122(2O1)-TFSI sample, while it presents cold crystallization and subsequent melting on heating, whereas the N122(2O1)-TFSI does not show these features. It must be pointed out that the metastable solid phase displayed by this mixture only retains the trans anion conformer. These findings can be summarized in Figure 7, reporting a sort of phase diagram of the mixed system.
Information coming from the temperature dependence of the farinfrared spectra also confirm differences between the two starting liquids. The occurrence of a possible hydrogen bond is particularly evident in the solid phase of the N111(2O1)-TFSI sample and of the mixtures where this liquid is the main component. An evaluation of the enthalpy difference between the configurations dominated by the dispersion interactions and those dominated by hydrogen bonding confirms that in these samples the H-bonded ion pairs are favored in energy over the dispersion-interaction-dominated pairs, while for sample N122(2O1)-TFSI, the ratio between the intensities of the vibrational bands of the two configurations seems to be independent of the temperature, indicating a minor role for the hydrogen bonding compared to the dispersion interactions. In particular, it seems that the differences between the configurations dominated by the dispersion interactions and those dominated by hydrogen bonding become minor with the increasing amount of the N122(2O1)-TFSI sample in the mixtures.
The comparison with computational results suggests that the observed hydrogen bonding could be ascribed to the CH bonds involving the C atoms directly linked to the central N atom, which are closer and more aligned to the anion O atoms. The calculated values for angles and distances involved in these bonding suggest the occurrence of a weak to moderate interaction and indeed, as previously discussed, the lower peak frequency of the stretching of hydrogen bonding points towards a much less intense hydrogen bond in the presently investigated sample with respect to protic ILs. Moreover, the values obtained for the enthalpy difference are close to those recently reported for the CH . . . O hydrogen bonding in 1-ethyl-3-methylimidazolium-trifluoromethanesulfonate [46].
It must be pointed out that computational results on the two starting ILs do not rule out the possible occurrence of hydrogen bonding in the N122(2O1)-TFSI sample, since also in this case, one can identify one CH bond quite close and aligned to the anion O atoms, whereas in the N111(2O1)-TFSI sample we can identify at least two of these bonds. However, the experimental infrared spectroscopy results and their analysis indicate that in the former liquid the occurrence of this interaction is not energetically favored. It is likely that due to the higher number of possible cation conformer, there is an high conformational disorder which hinders the directional ordering required for the formation, and detection, of this vibrational feature. Indeed, one of the main consequences of the small difference in the length of the two short alkyl chains between the two ILs is the different number of cationic conformers already populated at room temperature. In fact, a particularly large conformational disorder has been considered to be responsible for the lack of a clear hydrogen bonding contribution in the infrared spectrum also by recent measurement in 1,7-diazabicyclo [5.4.0] undec-7-ene (DBU) bis(trifluoromethanesulfonyl)-imide (TFSI) thus indicating a weaker hydrogen bonding interaction compared to the parent DBU-TfO, where less configurational disorder occurs [54].
All these observations suggest that in N111(2O2)-TFSI with a stronger hydrogen bonding there is more possibility to have a better packing between anions and cations that also help in obtaining a wellordered crystalline state, contrarily to what happens in N122(2O2)-TFSI. Further confirming the role of the hydrogen bonding in the formation of the solid phase, the measurements indicate that the absorption bands more affected by the transition to the solid state are those due to the movements of the C atoms likely involved in hydrogen bonding. Indeed in the crystalline phase of N111(2O1)-TFSI and its mixtures, the ordering of the CH bonds is visible by a narrowing and a splitting of the corresponding CH absorption bands.

CONCLUSION
The two investigated ethoxy-containing ILs present significant different thermal behavior accompanied by a different evolution of the anion conformers distribution, with the retention only of the low energy trans conformer in the solid phase of the N111(2O1)-TFSI sample and of its mixtures. Differences between the two liquids are detected also for the intermolecular interactions, since the occurrence of a possible CH . . . O hydrogen bond is particularly evident in the solid phase of the N111(2O1)-TFSI sample and in all mixtures where it acts as a solvent, while it is less evident for sample N122(2O1)-TFSI. Apparently differences between the configurations dominated by the dispersion interactions and those dominated by hydrogen bonding become smaller with the increasing amount of the N122(2O1)-TFSI sample in the mixtures. The lack of a clear hydrogen bonding for the latter liquid is attributed to the higher conformational disorder due to the higher number of cationic  conformer. In this framework, the different thermal behavior is clarified since in the more ordered N111(2O1)-TFSI with a stronger hydrogen bonding there are more possibility to have a better packing between anions and cations that also help in obtaining a well-ordered crystalline state, contrarily to what happens in N122(2O1)-TFSI.

DATA AVAILABILITY STATEMENT
The original contributions presented in the study are included in the article/Supplementary Material, further inquiries can be directed to the corresponding author.

AUTHOR CONTRIBUTIONS
AP and GA conceived the idea, ES, GM, RL, SF and AF performed the synthesis, AS, FT, AC, OP, SB, J-BB and PR performed the measurements, OP and AP performed data analysis and wrote the paper. All authors reviewed and edited the published version of the manuscript.