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Keywords:

  • ab initio calculations;
  • carbon dioxide;
  • dispersion interactions;
  • ionic liquids;
  • molecular dynamics

Abstract

  1. Top of page
  2. Abstract
  3. 1. Introduction
  4. Computational Methods
  5. 2. Results and Discussion
  6. 3. Conclusions
  7. Acknowledgements
  8. Supporting Information

Carbon dioxide–ionic liquid systems are of great current interest, and significant efforts have been made lately to understand the intermolecular interactions in these systems. In general, all the experimental and theoretical studies have concluded so far that the main solute–solvent interaction takes effect through the anion, and the cation has no, or only a secondary role in solvation. In this theoretical approach it is shown that this view is unfounded, and evidence is provided that, similarly to the benzene–CO2 system, dispersion interactions are present between the solute and the cation. Therefore, this defines a novel site for tailoring solvents to tune CO2 solubility.


1. Introduction

  1. Top of page
  2. Abstract
  3. 1. Introduction
  4. Computational Methods
  5. 2. Results and Discussion
  6. 3. Conclusions
  7. Acknowledgements
  8. Supporting Information

Among their numerous potentially advantageous properties,15 ionic liquids (ILs) exhibit unique properties in CO2 absorption.6 Although they dissolve CO2 much better than other gases, as shown by Brennecke and co-workers,7 they are practically insoluble in supercritical CO2, which makes them perfect candidates not only for capturing CO2 from industrial waste gases,8, 9 but also for gas separations, extraction processes,7 and bi- or multiphase catalysis involving CO2.6 For the improvement of these applications, an understanding of the solubility of CO2 is required through the identification of the CO2–IL interaction sites.10 Accordingly, several experimental studies were performed to compare the Henry’s law constants for different ILs,6, 8, 1113 and based on the observed trends a picture of CO2 solvation in ILs was established, which could be justified by the corresponding theoretical investigations.6, 1114 The general wisdom of these studies is that while the anion plays a crucial role in the solute–solvent interplay, the cation–CO2 interaction is rather limited to small contributions from the side chain,12 and so far no significant direct effect of the cationic head group has been reported. Accordingly, the formation of a hydrogen-bond-like1517 interaction in imidazolium-based ILs between the CO2 oxygen atoms and the cationic ring hydrogen atoms was excluded, since neither the Henry’s law constants in the experiments changed, nor were any discrepancies noticed in the microscopic structure of the solvent in classical molecular dynamics (MD) simulations through the exchange of the most acidic (thus, most likely interacting) H2 atom by a methyl group,11 thus inferring a certain unimportance of the cation.

The anion–CO2 interaction can be described as a Lewis acid–base reaction, and accordingly, by the increasing basicity of the anion, this interaction becomes stronger.10 Interestingly, in the presence of basic anions the formation of carbenes may also occur by proton transfer from the cation to the anion,1821 and since carbenes are known to react with CO2 yielding imidazolium carbonates,22 in the case of sufficiently basic anions the formation of such structures is expected. In agreement, the chemical absorption of CO2 in 1,3-dialkylimidazolium acetates has been suggested based on the significantly increased solubility of CO2 in these ILs,23 and Rogers and co-workers24 (and later several other groups)2528 recently revealed the formation of 1,3-imidazolium carboxylates in the same system. According to the above information on IL–CO2 systems and carbene formation, it is reasonable to assume the mechanism depicted in Figure 1: physical absorption of CO2 in the 1,3-dialkylimidazolium acetate, followed by reaction of the solute with the carbene that is accessible in these ILs. However, to improve and to exploit this reaction more effectively, a more detailed mechanistic insight is required for each step of the process.

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Figure 1. Mechanistic picture of CO2–[CnC1Im][OAc] systems (Im=imidazolium). The system investigated herein is highlighted by a thicker frame.

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In this theoretical study we investigate the initial step, the physical absorption of CO2 in 1-ethyl-3-methylimidazolium acetate ([C2C1Im][OAc]), as the first of a series of investigations on this apparently interesting but rather complex system (Figure 1). Moreover, due to the higher basicity of the acetate anion, increased anion–CO2 interactions are expected.10 Therefore, in this system the role of the cation in the solvation of the CO2 should be even lower, which allows a careful view in revisiting the presence of cation–CO2 interactions in imidazolium-based ILs in general.

Computational Methods

  1. Top of page
  2. Abstract
  3. 1. Introduction
  4. Computational Methods
  5. 2. Results and Discussion
  6. 3. Conclusions
  7. Acknowledgements
  8. Supporting Information

Ab initio molecular dynamics (AIMD) simulations2931 were carried out with periodic boundary conditions, which—in contrast to classical MD simulations based on a force field—allow the monitoring of unforeseen changes in the electronic structure. Given that the bending of the CO2 is of high importance in the anion–CO2 interaction32 (note that CO2 is usually kept linear in force fields),12 there is a need for the description of the electronic structure in extreme molecular interactions, and thus the advantage of AIMD is clearly indicated.

The simulated system was built by inserting a single CO2 molecule into the simulation box, which was obtained in a series of previous simulations by our group on the neat IL, and successfully reproduced many of its experimental physical properties.33 The resulting system of 36 ion pairs and one CO2 molecule was equilibrated for 5 ps in an NVT ensemble employing a massive Nosé–Hoover thermostat, and then simulated for 68 ps at 350 K in an NVT ensemble by applying a regular Nosé–Hoover thermostat, by the CP2k program package,34 and by using the BLYP-D functional, the MOLOPT-DZVP-SR-GTH basis sets, and GTH pseudopotentials. The applied functional—in significant difference to previous AIMD studies on IL–CO2 systems35, 36—also includes Grimme’s most recent dispersion correction (D3),37, 38 which is essential in IL systems.37, 3941 The analysis of the trajectories was performed with TRAVIS.42

Static quantum chemical calculations were carried out by applying the BLYP-D/def2-TZVPP, BLYP/def2-TZVPP, and (RI)MP2/def2-TZVPP methods and basis sets by the TURBOMOLE 6.043 (applying increased convergence criteria on the optimization of 10−4 a.u., and on the SCF of 10−8 hartree) and SNF44 program packages, and M06-2X, B97-D, B3LYP, and MPW1K DFT with the 6-311+G** basis set by the Gaussian 09 program package.45

2. Results and Discussion

  1. Top of page
  2. Abstract
  3. 1. Introduction
  4. Computational Methods
  5. 2. Results and Discussion
  6. 3. Conclusions
  7. Acknowledgements
  8. Supporting Information

On the basis of the radial distribution functions (RDFs), the acetate oxygen–CO2 carbon distances are the shortest (2–300 pm), providing a very pronounced peak (black line in Figure 2 B) similar to that found before in other ILs.11, 14 However, our results show noticeable deviations compared to a previous AIMD study on the same IL containing 50 mol % CO2.35 Here, the C(CO2)[BOND]O([OAc]) distances are longer (black line in Figure 2 B) and also the CO2 bond angles are larger, although the bending is still more pronounced than that in the gas phase (Figure 2 D). These differences may originate from the different molar ratios (1:135 vs. 1:36), the different simulation temperature (29835 vs. 350 K), or the much shorter simulation time (1235 vs. 68 ps) and the lack of proper account for dispersion interaction in the previous AIMD study.35 In full agreement, by static calculations on isolated acetate–CO2 assemblies lacking dispersion correction we observed, for example, the shortening of the distances between the aforementioned two atoms (by ca. 10 pm, see the Supporting Information), which clearly affects the outcome of the AIMD simulations as well. Nevertheless, despite these differences, the entries in the lower left part of the combined distribution function (CDF) in Figure 3 A clearly indicate that whenever the anion’s oxygen atom is close to the CO2’s carbon atom, the bending of the CO2 is increased, which—together with the observed short anion–CO2 distances—points to the importance of the anion–CO2 interactions.

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Figure 2. Radial distribution functions, g(r), between centers of mass (COMs) (A), measured from the C atom (B) and from the O atom (C) of the CO2, and the angular distribution of CO2 in the gaseous phase and in the IL (D). mim=methylimidazolium, term=terminal.

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Figure 3. Combined distribution function showing the CO2 bond angle against the depicted distances.

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Surprisingly, the cationic centers of mass (COMs) are at similar distances to the solute as the anionic ones (Figure 2 A), while the corresponding peak is higher, thus showing that the cation also contributes to the solvent–solute interactions by providing more neighbors (ca. five versus the ca. one anion). Interestingly, although such pronounced peaks have previously been observed in cation–CO2 pair correlation functions, they were related to “packing effects” rather than to solute–solvent interactions. However, by comparing the spatial distribution functions (SDFs) of the two ions, a different viewpoint can be obtained (Figure 4). The interaction with the anion is clearly directed to the CO2’s carbon atom; thus, the acetate ions are located mainly in a thin specific ring around the solute. The cations can be observed in a similarly structured manner around the CO2, but these regions of interaction cover its whole surface; thus, a picture of a cation cage emerges (Figure 4 B). This high local structuring of the ions around the solute is in contrast to the picture that CO2 solely occupies already existing voids in the IL.6, 11

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Figure 4. Spatial distribution of the anionic (A) and the cationic COMs (B), and the terminal carbon atom of the cationic ethyl group (C) around the CO2.

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Given that the approach of the acetate anion toward the solute polarizes the CO2 by bending it into a negatively charged carboxylate group, one may infer that this bending strengthens the interaction with the cations, as was found in an analogous reaction between amines and CO2 in imidazolium-based ILs.46 Surprisingly, the CDF in Figure 3 B clearly shows that the closer the solute is to the cation, the less bent it is, as for the lower C(CO2)[BOND]C2 distances there are no entries corresponding to lower O[BOND]C[BOND]O angles of the solute. Thus, instead of cooperation, competition is indicated between the anion and the cation for interacting with the CO2. The finding that despite this competition the aforementioned cation cage is formed clearly shows the significance and strength of the cation–CO2 interactions.

Although there is a large peak in the RDF between the H5 and the CO2’s oxygen atoms, the large (above 200 pm) distances between any ring hydrogen atoms and the solute oxygen (Figure 2 C) support the previous findings11 in pointing to the lack of hydrogen bonding with CO2 in such systems. These substantial distances in the H2 RDF (black line in Figure 2 C), together with the lack of any significant peaks in it, also perfectly explain why the methylation at position 2 has no effect on the CO2 solubility.11 Similarly to Costa Gomes and co-workers,12 a pronounced side-chain CO2 peak was obtained (dashed line in Figure 2 B), which suggests that this moiety also has some impact. However, the SDF of the terminal side-chain carbon around the solute exhibits significantly less structuring than that of the cationic COM (Figure 4 C), whereas the C2([C2mim]+)[BOND]C(CO2) distances (dotted line in Figure 2 B) show that the CO2 molecule is, in fact, similarly close to the cationic ring.

Furthermore, according to the CDFs shown in Figure 5, the CO2 is strictly above the ring of the nearby cations, and oriented mostly in a parallel fashion to the ring plane, although perpendicular conformers can also be observed. This on-top arrangement of the CO2 around the nearby imidazolium cations has been observed before,47 and was related to the competition between the anion and the solute for interacting with the H2 atom. Clearly, this competition has an influence; however, we would like to point out that these findings also indicate the presence of a dispersion interaction with the cationic π system, which is analogous to that in the benzene–CO248 and pyridine–CO249 systems. The similar ring–CO2 distances (328.6 pm for benzene at the MP2/aug-cc-pVTZ level,48 and ca. 360 pm in the present simulation) are also noteworthy. As mentioned above, the interaction with the cation is apparently enhanced by the linearity of the CO2; thus, the lack of a proper dispersion description in the simulations may result in the overestimation of the CO2’s bending. Although this picture provides a possible explanation for the deviations from the previous study,35 it should also be kept in mind that the different molar ratios may alter the number of available interacting cations.

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Figure 5. Combined distribution functions representing the orientation of the CO2 with respect to the cationic ring, based on the depicted geometrical measures.

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To further analyze the interaction between carbon dioxide and the imidazolium π system, static quantum chemical calculations were carried out by a number of different theoretical methods (see Computational Methods) on the CO2–1,3-dimethylimidazolium cation model system. The geometry of the obtained three minima (Figure 6) further stresses the analogy with the aforementioned benzene–CO2 interplay.48, 50 The most stable minimum (1) possesses the CO2 molecule in the ring plane, apparently in interaction with the H2 atom. The lack of this structure in the present AIMD trajectory, and also in the previous MD simulations, is due to the competition between the anion and the solute for this position (cf. with the neat IL).33 The two other structures (2 and 3) are about 3 and 6 kJ mol−1 less stable, with the CO2 positioned approximately 320 pm above the cationic ring in either a perpendicular (2) or a parallel (3) fashion. The Bader analysis51 of both 2 and 3 supports the presence of an interaction between the CO2 and the cationic π system, by exhibiting unprecedented bond critical points between the cation’s nitrogen atoms and the CO2’s oxygen atoms. The bond critical points between the methyl hydrogen atoms and the solute oxygen atoms allow concluding interactions with the methyl groups of the cation. The relative energies are comparable in all methods applied, but the importance of the dispersion’s proper treatment was again observed, as during the geometry optimizations by the BLYP and B3LYP functionals either the rearrangement of 2-like and 3-like structures to 1 was observed, or the CO2–cation distance increased to 1300 pm (for more data, see the Supporting Information). Although the cation–CO2 interaction energies are somewhat lower than those for the anion–CO2, the cationic cage around the solute suggested by the AIMD calculations makes it necessary to consider the effect of these π interactions.

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Figure 6. Obtained structures for the system composed of a 1,3-dimethylimidazolium cation and a CO2 molecule.

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3. Conclusions

  1. Top of page
  2. Abstract
  3. 1. Introduction
  4. Computational Methods
  5. 2. Results and Discussion
  6. 3. Conclusions
  7. Acknowledgements
  8. Supporting Information

In this theoretical study the interactions between CO2 and imidazolium-based IL cations have been investigated by AIMD simulations and static quantum chemical calculations, on the one hand to provide insight into the first step of CO2 absorption in 1,3-dialkylimidazolium acetates, and on the other hand to revisit those results in the literature in which the main solute–solvent interaction in IL–CO2 systems in general takes effect through the anion.

Undeniably, there is a strong anion effect and a moderate side-chain effect on CO2 solvation in ILs, as was proposed previously by experimental (Henry’s law constants) and theoretical (classical MD) studies. However, even in the case of such a strong anion–CO2 interplay as that with the acetate anion, the occurrence of an attractive interaction between the cationic π system and the solute has been evidenced in the study reported herein. Although nonaromatic cations may form other kinds of interactions as well,52 and the corresponding interaction energies may therefore be similar, our results, and the fact that imidazolium-based ILs dissolve more CO2 than pyrrolidinium ones,13 indicate that boosting the CO2–aromatic interactions may indeed increase CO2 solubility in ILs. This knowledge may allow not only a deeper understanding of the solubility of CO2 in imidazolium-based ILs, but also may provide novel perspectives in tailoring52 of ILs by incorporating aromatic units into the ions, for example, by using aromatic anions or aryl-functionalized side chains. Such modification may allow the improvement of nonreactive CO2 capture processes, and may also open paths to the development of ILs that are soluble in supercritical CO2.

Acknowledgements

  1. Top of page
  2. Abstract
  3. 1. Introduction
  4. Computational Methods
  5. 2. Results and Discussion
  6. 3. Conclusions
  7. Acknowledgements
  8. Supporting Information

We thank Jim Davis, Alfonso S. Pensado, and Otto Dopfer for fruitful discussions. This work was financially supported by DFG projects KI-768/5-3 and KI-768/6-1, and the New Széchenyi Plan TÁMOP-4.2.2/B-10/1-2010-0009. The support for O.H. by the Alexander von Humboldt-Stiftung is gratefully acknowledged.

Supporting Information

  1. Top of page
  2. Abstract
  3. 1. Introduction
  4. Computational Methods
  5. 2. Results and Discussion
  6. 3. Conclusions
  7. Acknowledgements
  8. Supporting Information

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