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Original article
01 2021
:15;
103512
doi:
10.1016/j.arabjc.2021.103512

Why do ammonium salt/phenol-based deep eutectic solvents show low viscosity?

Beijing Advanced Innovation Center for Food Nutrition and Human Health, Beijing Technology and Business University, Beijing 100048, China

⁎Corresponding authors at: NO. 11 Fucheng Road, Beijing Technology and Business University, Beijing 100048, China. fanchen@btbu.edu.cn (Chen Fan)

Disclaimer:
This article was originally published by Elsevier and was migrated to Scientific Scholar after the change of Publisher.

Peer review under responsibility of King Saud University.

Abstract

Abstract

  • Glycolic acid (GA) DESs exhibit higher activation energy compared with phenolics DESs.

  • A strong charge transfer complex was found between GA and ammonium salt.

  • Hydrogen bonds of GA DES are partially covalent and partially electrostatic.

  • Interaction network stability of GA DES is more robust owing to strong covalency.

  • This work paves the way for rational design of novel DES with low viscosity.

Abstract

The viscosity of deep eutectic solvents (DESs) plays an important role in determining how they are used industrially. In order to gain a deeper insight into the parameters which affect the viscosity of ionic DES, a series of systems composed of ammonium salts and two types of representative donors were prepared and characterized. They were investigated by quantum-chemistry calculations and molecular dynamics simulations. The viscosity of phenol/4-methylphenol-based system is much lower than that of glycolic acid-based system. Moreover, DESs containing glycolic acid exhibit higher activation energy values compared with DESs containing phenolics. It was found the existence of a strong charge transfer complex between glycolic acid and ammonium salt, thus suggesting its vital role in the fluidity difference of studied mixtures. The hydrogen bonds of glycolic acid-based system are partially covalent and partially electrostatic, manifested via atoms in molecules (AIM) analysis. Additionally, Cl⋯HOphenolic hydroxyl is expected to be less covalent than Cl⋯HOcarboxyl, which is also identified by lower delocalization index in the AIM basin. The interaction network stability of glycolic acid-based DES is more robust than that of phenolics-based one due to the strong covalency of hydrogen bond. This is the main reason that ammonium salt/phenol-based DESs show low viscosity. This work gives new perspectives on more rational design of novel DES with low viscosity.

Keywords

Deep eutectic solvent
Viscosity
Ammonium salt
Quantum chemistry
Non-bonded interaction
1

1 Introduction

At the beginning of this century, researchers discovered that mixing choline chloride (ChCl) and urea could produce a mixture with a significantly lower melting point (Abbott et al., 2003). This solvent was called deep eutectic solvent (DES), which can be prepared by two components, one as hydrogen bond donor (HBD) and another one as hydrogen bond acceptor (HBA) (Clarke et al., 2018). They were mixtures of various abundant molecules, and many combinations of these compounds were found to be liquids at relatively low temperature (Hansen et al., 2021). Compared with traditional organic solvents, such kind of molecular liquid has many advantages including low volatility, easy adjustment of properties, reusability, and sustainability. It has become a new generation of solvents, and has potential application in many fields such as electrochemistry (Smith et al., 2014), nanotechnology (Abo-Hamad et al., 2015), metal extraction (Smith et al., 2014), material chemistry (Tome et al., 2018), active compounds extraction (Ali Redha et al., 2021), organic synthesis (Hooshmand et al., 2020) separation (Komarolia et al., 2020) and biocatalysis (Pätzold et al., 2019).

Ionic eutectic systems which utilize ionic compounds as HBAs play vital roles in the evolution of DESs, in an effort to mimic the properties of ionic liquids (ILs) (Florindo et al., 2019). Ammonium and phosphonium salts were usually employed to prepare ionic DESs, no matter for hydrophilic or hydrophobic systems. ChCl is the most extensively applied HBA. Ionic DESs show excellent performances in abundant fields, especially in gas capture/separation. Jiang et al. used ethylamine hydrochloride and phenol to prepare DES. The obtained system provides two active sites for NH3 and achieved a high absorption capacity at low pressure (Jiang et al., 2020). Cao et al. designed DES with ammonium salt and phenol for ammonia separation, and the solubility of NH3 was superior to that of the reported DESs and ILs (Cao et al., 2021). They all highlighted the importance of the viscosity that strongly affects the mass transfer rates. The ionic DESs usually show high viscosity at ambient conditions, probably due to the presence of coulombic forces in quaternary ammonium/phosphonium salts (Florindo et al., 2019). Another point is the decrease in viscosity with increasing the alkyl chain of these salts because of the charge shielding effect in the nitrogen atom and the bulkiness in the side chains (Van Osch et al., 2015). Although the viscosity of DESs can be adjusted by adding water and increasing temperature, it still needs the pure low-viscosity DES at room temperature considering the energy consumes and targets stability.

Additionally, strong electrostatic interactions, high hydrogen bonding energy and multiple interaction sites, as well as small void/free volume and large ion size can account for the inconveniently high viscosity (Wazeer et al., 2018). The viscosity values of eutectic systems are strongly dependent on the type of HBD used. ChCl/sorbitol shows a relatively high viscosity at 20 °C (12730 cP), whereas ChCl/ethylene glycol exhibits a low viscosity value (19 cP) (Zhang et al., 2012). As noted above, phenol was applied for the design of eutectic systems with considerable low viscosity in these studies (Cao et al., 2021; Jiang et al., 2020). They all demonstrated that viscosity values of such mixtures decrease with the increase of temperatures, and decrease with the increasing the mole fraction of phenol. The high viscosity of DESs is seen as a major hurdle to their widespread industrial utilization, thus many researchers have investigated different parameters dependence of viscosity of DESs (Hansen et al., 2021). Despite the interest of emerging new class of DES, a very limited number of ionic DESs with low viscosity have been proposed so far. It is emphasized the lack of deeply understanding as to what causes low-viscosity ionic DESs to form in the first place.

In this work, a series of systems composed of ammonium salts and two types of representative donors were prepared and characterized. They were investigated by quantum-chemistry calculations and molecular dynamics simulations. Through exploring the inner reasons of viscosity reduction phenomenon in ammonium salt/phenol-based systems, we aim to give new perspectives to the formation of low-viscosity DES. This will be favorable to design new low-viscosity eutectic liquids with more sustainable and green staring materials.

2

2 Materials and methods

2.1

2.1 Preparation of deep eutectic solvent

Ethylammonium chloride (Eth, 98%), Diethylammonium chloride (Die, 99%), Triethylammonium chloride (Tri, 99%), Glycolic acid (GA, 98%), Phenol (Phe, ≥99.5%) and 4-Methylphenol (Met, 99%) were bought from Shanghai Macklin Biochemical Technology Co., Ltd. DESs were prepared by mixing above staring materials at certain molar ratios. The mixtures were constantly stirred at 70 °C until the formation of homogeneous transparent liquids.

2.2

2.2 Characterization

All of DESs and their components were measured by Attenuated Total Reflection Fourier Transform Infrared Spectroscopy (ATR-FTIR, IRTracer-100, SHIMADAU, Japan). The functional groups spectra were recorded in the range of 4000–400 cm−1 using absorption mode with 50 scans at 25 °C.

The solid–liquid phase equilibria can be described by Schröder equation (1) (Prausnitz et al., 1999):

(1)
ln x i γ i = Δ m h i R 1 T m , i - 1 T where x i is the mole fraction of component i , and γ i is its activity coefficient, Δ m h i is the fusion enthalpy of component, R is the ideal gas constant, T m , i is the melting temperature and T is the system temperature. If we assume that the solvent is ideal, then γ i  = 1 and the ideal solid–liquid equilibrium phase diagram is obtained.

2.3

2.3 Viscosity assessment and modeling

Viscosity values of the DESs were measured under atmospheric pressure over the temperature range from 298.15 to 353.15 K (temperature uncertainty: ±0.2 K) using a NDJ-8S digital rotational viscometer (relative uncertainty of the dynamic viscosity ≤±2%). The viscosity values at different temperature for all DES were correlated using the Vogel-Fulcher-Tammann (VFT) model as described by equation (2) (Elhamarnah et al., 2019). The activation energy (E) was calculated based on the viscosity dependence with temperature described by equation (3) (Elhamarnah et al., 2019):

(2)
ln η = A η + B η T - C η
(3)
E = R B η C η 2 T 2 - 2 C η T + 1
where η is the dynamic viscosity (mPa·s); T is the temperature (K); R is the universal gas constant (8.314 Jmol·K−1); Aη, Bη, and Cη are adjustable parameters.

2.4

2.4 Computational details

Geometries of molecules and DES complexes were fully optimized at the B3LYP/def2-TZVPD level with Grimme’s DFT-D3(BJ) empirical dispersion correction using BIOVIA Tmolex 2021 (version 21.0.0). The symmetry-adapted perturbation theory (SAPT) was used to decompose binding energy (BE) into various physical parts for deeply understanding the nature of hydrogen bonds. SAPT analyses were performed at the SAPT2+/aug-cc-pVDZ level by PSI4 code without the basis set superposition error (BSSE) (Riley et al., 2011). The thermodynamic property of DES systems was calculated by the software BIOVIA COSMOtherm 2020 (version 20.0.0). For convenient and direct investigation of hydrogen bonds between HBA and HBD, corresponding quantum-chemistry calculations were done in the ratio 1:1. Molecular dynamics (MD) simulations were conducted according to the published work (Fan et al., 2021a). The related electron density, atomic charge and atoms in molecules (AIM) analysis were done by Multiwfn package 3.7 (Lu and Chen, 2012).

3

3 Results and discussion

3.1

3.1 Characterization

Three ammonium salts were chosen as HBAs including ethylammonium chloride (Eth), diethylammonium chloride (Die) and triethylammonium chloride (Tri). Phenol (Phe) and 4-methylphenol (Met) were applied as HBDs. Glycolic acid, one of prototypical HBDs, is frequently used in the model molecules studied. It was employed for comparison with the phenolics. FTIR spectra for GA-Eth, Phe-Eth, Met-Eth, and their pure components are presented in Fig. 1. The results of the other six systems were provided in supplementary material (Fig. S1). The characteristic bands of glycolic acid are observed at 3249 and 1715 cm−1 corresponding to OH stretching vibrations and C⚌O in agreement with reported study (Ahokas et al., 2018). The absorption bands of OH stretching in phenol and 4-methylphenol are located around 3310 and 3306 cm−1, respectively. The OH band shifts to 2923 cm−1 in glycolic acid and the same trend is also founded in phenolics (shifts to 3043 and 3021 cm−1). The red shifts confirm the formation of associated complex in these DES systems.

FTIR spectra for obtained eutectic solvent systems and their pure sources: (A) GA-Eth; (B) Phe-Eth; (C) Met-Eth. HBA/HBD molar ratio: 1:3.
Fig. 1
FTIR spectra for obtained eutectic solvent systems and their pure sources: (A) GA-Eth; (B) Phe-Eth; (C) Met-Eth. HBA/HBD molar ratio: 1:3.

Their melting properties are given in Table 1. The conductor like screening model for real solvent model (COSMO-RS) was used to estimate the solid–liquid equilibrium conditions because of its accurate description of non-ideality in DES (Alhadid et al., 2021). The sigma profiles of the individual components were given in the Fig. S2. The predicted phase diagrams with the ideal liquidus curve are showed in Fig. S3. It can be found that temperature depression happens in all systems with a general view. The reduction of melting point for all the investigated mixtures is considerably large and they are liquids at room temperature in a mole ratio of 1:3. Additionally, the mole ratio (1:3) is close to the deep eutectic point as the predicted result. Since the pure sources are all solids at room temperature, it can be qualitatively inferred that the melting point values of the obtained DESs are much lower than those of their individual components.

Table 1 Compounds used for the preparation of deep eutectic solvents and their melting properties.
Compound CAS Abbreviation Tm/K Δmh/kJ·mol−1
Ethylammonium chloride 557-66-4 Eth 382.65 8.648
Diethylammonium chloride 660-68-4 Die 501.65 13.640
Triethylammonium chloride 554-68-7 Tri 533.15 16.832
Glycolic acid 79-14-1 GA 352.65 15.167
Phenol 108-95-2 Phe 314.15 11.509
4-Methylphenol 106-44-5 Met 308.65 13.710

Tm: melting (fusion) point; Δmh: Enthalpy of fusion.

3.2

3.2 Temperature dependence of viscosity

The variation of viscosity of the obtained DESs (mole ratio 1:3) with temperature is depicted in Fig. 2. Phe-Eth and GA-Eth have been studied in reported literatures and the other solvent systems prepared have not been reported as far as we known. The viscosity data obtained herein are almost consistent with previous works (Jiang et al., 2020; Jiang et al., 2019). The viscosity values for the eutectic mixtures increase in the following order: phenol-based systems < 4-methylphenol-based systems < glycolic acid-based systems. With the temperature rising, the difference between phenol and 4-methylphenol is reduced. The viscosity values of DESs containing triethylammonium chloride are slightly higher than the other two salts among the three groups. Despite the share of the same HBAs and proportion in the mixtures, systems based on phenolic compounds and glycolic acid display very distinct viscosity values. In fact, the ammonium salt/glycolic acid-based system’s viscosity is much higher than that of studied ammonium salt/phenolics-based system in the whole temperature range.

Experimental viscosity (η) values of the eutectic mixtures at different temperature. HBA/HBD molar ratio: 1:3.
Fig. 2
Experimental viscosity (η) values of the eutectic mixtures at different temperature. HBA/HBD molar ratio: 1:3.

For all eutectic mixtures, adjustable parameters of VFT model are shown in Table 2 with good correlation. The activation energy (E) can be utilized for the description of viscosity behavior depending on temperature, which allows investigating the energy barrier of a system (Table 3). It can be observed that glycolic acid-based systems exhibit higher activation energy values compared with phenolics-based systems. This means that it is much difficult for the monomers/conjugates to move. DESs based on phenol have the smallest E values, in agreement with their small viscosity. The energy is related to the entanglement of molecules or their size or interactions of HBA-HBD (Biernacki et al., 2020; Mirza et al., 2016; Ribeiro et al., 2015). The molar volume (Vm) values of different systems are shown in Table S2. The low viscosity values of liquids are linked to their low Vm values. Obviously, the values of 4-methylphenol-based systems are largest among three groups. Therefore, low viscosity of the studied phenolics-based system does not appear to be a consequence of small Vm.

Table 2 Fitted parameters of the Vogel-Fulcher-Tammann (VFT) model (HBA/HBD molar ratio: 1:3).
DES Aη (mPa·s) B (K) Cη (K) R2
GA-Eth 3.53 ± 0.52 76.50 ± 1.76 273.72 ± 10.63 0.997
GA-Die 0.72 ± 0.09 372.27 ± 7.36 235.52 ± 5.40 0.993
GA-Tri −1.62 ± 0.03 834.18 ± 9.54 198.39 ± 5.16 0.994
Phe-Eth 2.03 ± 0.04 27.55 ± 2.69 277.35 ± 1.81 0.999
Phe-Die 0.50 ± 0.05 316.80 ± 9.62 180.78 ± 1.06 0.992
Phe-Tri 0.18 ± 0.02 419.22 ± 5.43 163.96 ± 3.79 0.998
Met-Eth −8.03 ± 0.61 500.51 ± 10.98 139.16 ± 7.86 0.989
Met-Die 1.28 ± 0.13 135.93 ± 3.06 236.20 ± 5.46 0.999
Met-Tri 1.54 ± 0.15 103.33 ± 4.49 248.69 ± 6.66 0.999

±: Standard error.

Table 3 Activation energy (E) values at different temperatures (HBA/HBD molar ratio: 1:3).
DES E (kJ/mol)
298.15 K 313.15 K 323.15 K 333.15 K 353.15 K
GA-Eth 94.70 40.11 27.18 19.98 12.57
GA-Die 70.14 50.36 42.09 36.04 27.90
GA-Tri 61.95 51.64 46.53 42.39 36.11
Phe-Eth 47.06 17.53 11.40 8.16 4.97
Phe-Die 17.00 14.74 13.57 12.59 11.06
Phe-Tri 17.21 15.36 14.36 13.51 12.14
Met-Eth 14.63 13.48 12.84 12.27 11.33
Met-Die 26.17 18.71 15.61 13.34 10.30
Met-Tri 31.21 20.27 16.18 13.36 9.82

3.3

3.3 Non-bonded interaction

The optimized structures of DES systems were shown in the Fig. 3. SAPT was used to evaluate binding energy; moreover, it is capable of decomposing binding energy into different physical components, which facilitate a deep understanding of the underlying nature of non-bonded interactions. The binding energy can be decomposed into five physically meaningful components including electrostatic, exchange-repulsion, induction, dispersion and charge transfer interaction. Fig. 4A represents values of binding energy and different components in the SAPT-derived energy. The ionic DES systems usually show very strong hydrogen bonding interactions, just like the systems studied in this work. They can be classified as charges assisted hydrogen bonds. From these data in Fig. 4A, it is quite obvious that the sum of the charge transfer, dispersion, induction, and electrostatic terms outweighs the exchange-repulsion part. This leads to negative values of interaction energy in the systems. The total binding energy of them range from −20.99 to −30.71 kcal mol−1.

The optimized structures of hydrogen bond donor-hydrogen bond acceptor. C, green; Cl, yellow; N, blue; O, red; H, white.
Fig. 3
The optimized structures of hydrogen bond donor-hydrogen bond acceptor. C, green; Cl, yellow; N, blue; O, red; H, white.
(A) Binding energy (BE) and physical components of BE calculated at SAPT2+/aug-cc-pVDZ level; (B) Contribution percentage plot of the SAPT-derived induction, dispersion and electrostatic interaction; (C) Contribution percentage plot of the SAPT-derived charge transfer interaction.
Fig. 4
(A) Binding energy (BE) and physical components of BE calculated at SAPT2+/aug-cc-pVDZ level; (B) Contribution percentage plot of the SAPT-derived induction, dispersion and electrostatic interaction; (C) Contribution percentage plot of the SAPT-derived charge transfer interaction.

Furthermore, it can be found that attractive electrostatics always plays a major role, all above 50% in total energy (Fig. 4B). Additionally, the dispersion component of phenolics-based system is larger than that of corresponding glycolic acid-based system. The dispersion interaction is the reflection of the London dispersion force, and it arises because of instantaneous charge fluctuation (An et al., 2019). More importantly, the high viscosity observed in DES is usually linked with the presence of a stronger intermolecular hydrogen bond. However, it can be seen that the only GA-Eth and GA-Die possess slightly higher binding energy than the other systems. More specifically, GA-Tri and Met-Tri show almost same energy (−20.99 and −23.04 kcal mol−1, respectively). While the viscosity value of GA-Tri is 23 times over than that of Met-Tri. When charge transfer is considered into the total energy, it can be interestingly found that the percentage of ammonium salt/glycolic acid-based system is noticeably higher than that of ammonium salt/phenolics-based system (Fig. 4C). Therefore, charge transfer interaction plays a vital role in the fluidity difference of studied DES systems.

3.4

3.4 Electron density and atomic charge analysis

Non-bonded interactions are accompanied by charge transfer and polarization, therefore studying intermolecular electron transfers between components in DES, as well as how the electron density is polarized due to the presence of another DES molecule are important. In order to investigate the charge transfer phenomenon in these mixtures, electron density and atomic charge of them were analysed, taking GA-Tri and Met-Tri as cases. The difference of electron density can be revealed by subtracting electron density of HBA (glycolic acid and 4-methylphenol) and triethylammonium chloride in their isolated states from the associated complex (referred to as DESs). As can be seen from Fig. 5A-B, the variation of electron density in GA-Tri is more remarkable than that in Met-Tri. Visualization of the isosurface of the electron density difference is illustrated in Fig. 5C-D. The green and blue parts represent the regions where electron density is increased and decreased after the formation of DESs, respectively. It can be obviously seen that although green and blue one interlace with each other, which confirms a certain amount of charge rearrangement in both compositions with the electron density of HBDs being polarized by the negative donor. The total trend is that electrons are transferred from chloride ion of ammonium salt to glycolic acid or 4-methylphenol.

Difference map of electron density for eutectic mixtures with respect to its constituents: GA-Tri (A) and Met-Tri (B); Isosurface map of the electron density difference: GA-Tri (C) and Met-Tri (D), setting the isovalue to 0.003, The green (blue) part represents the region where electron density is increased (decreased) after the formation of eutectic mixtures; Variation of atomic charges of monomers in their isolated states and in complex state: GA-Tri (E) and Met-Tri (F), red (blue) part corresponds to the region where atomic charge is increased (decreased) after the formation of eutectic mixtures.
Fig. 5
Difference map of electron density for eutectic mixtures with respect to its constituents: GA-Tri (A) and Met-Tri (B); Isosurface map of the electron density difference: GA-Tri (C) and Met-Tri (D), setting the isovalue to 0.003, The green (blue) part represents the region where electron density is increased (decreased) after the formation of eutectic mixtures; Variation of atomic charges of monomers in their isolated states and in complex state: GA-Tri (E) and Met-Tri (F), red (blue) part corresponds to the region where atomic charge is increased (decreased) after the formation of eutectic mixtures.

Variation of atomic charges of used DES sources in their isolated states and in complex state can quantitatively demonstrate how the electrons are transferred between different atoms because of the interactions (Fig. 5E-F). Atomic dipole moment corrected Hirshfeld atomic charges (ADCH) were utilized (Table S3). The positive (negative) part of atomic charge difference corresponds to the region where the atomic charge is increased (decreased) after the formation of DESs. The red and blue colors reflect that the atom has positive and negative charge difference, respectively. The deeper red (blue) the more positive (negative) the charge difference. The charge transferred amount of chloride ion in GA-Tri is obviously larger than that in Met-Tri. Furthermore, as expected, the total transfer value of GA-Tri is higher than that of Met-Tri. The replacement of glycolic acid with phenolic compound results in a decrease of the charge transfer (up to four times). It is indicated that a certain degree of covalency difference is presented between the formed eutectic systems.

3.5

3.5 Atoms in molecules (AIM) analysis

For the confirmation of the hydrogen bonds, topology analysis of the gradient vector field is necessary. Orange and yellow spheres correspond to (3, −1) and (3, +1) bond critical point (BCP), brown lines denote bond paths. Fig. 6A-B demonstrates the existence of BCPs for the proposed hydrogen bonds between HBAs and HBDs. It can be seen that marked parts correspond to the critical points of Cl···HOcarboxyl and Cl···HOphenolic hydroxyl hydrogen bond, respectively. The covalent character of strong hydrogen bonding interactions (such as charge assisted hydrogen bond) is significantly greater than that of other hydrogen bonding interactions (such as neutral complexes). Quantum theory of atoms-in-molecules (QTAIM) descriptors is shown in Table 4. It has been pointed out that bonds with covalency must have a BCP with negative H(r) (electronic energy density) (Pakiari et al., 2006). The more negative the value, the stronger will be the interaction (Jenkins and Morrison, 2000). In addition, |V(r)| < G(r), G(r) < |V(r)| < 2G(r) and |V(r)| > 2G(r) correspond to closed-shell (electrostatic) interaction, intermediate interaction, and covalent interaction respectively, where G(r) is the electronic kinetic energy density and V(r) is the electronic potential energy density (Bianchi et al., 2000). The values of electron density (ρ(r)) of normal hydrogen bonds at BCPs generally lie within the range of 0.002–0.035 au (Sarkar et al., 2020). For Met-Tri, the value of ρ(r) classifies its bond as ordinary (closed-shell) hydrogen bond; meanwhile its H(r) value are small negative which distinguish it from ordinary hydrogen bond. For GA-Tri, Δ2ρ(r) and H(r) indicate that it is partially covalent, with ρ(r) larger than that of ordinary hydrogen bond. According to the results of AIM and SAPT, the studied hydrogen bonds can be termed as partially covalent and partially electrostatic. Furthermore, Cl···HOcarboxyl is expected to be more covalent than Cl···HOphenolic hydroxyl, since its H(r) is more negative.

Atoms in molecules (AIM) analysis of GA-Tri (A) and Met-Tri (B); AIM basin analysis of GA-Tri (C) and Met-Tri (D).
Fig. 6
Atoms in molecules (AIM) analysis of GA-Tri (A) and Met-Tri (B); AIM basin analysis of GA-Tri (C) and Met-Tri (D).
Table 4 Bader’s atoms in molecules (AIM) theory parameters at the bond critical points.
Parameters GA-Tri Met-Tri
ρ(r) [−1] 0.373 0.287
Δ2ρ(r) [−1] 0.691 0.676
G(r) [−1] 0.225 0.180
V(r) [−1] −0.276 −0.191
H(r) [−2] −0.519 −0.108

[−x] means that the reported value should be multiplied by 10−x.

In order to quantitatively measure the number of electrons delocalized or shared between two atoms, delocalization index (DI) in the AIM basins was studied. As can be seen from Fig. 6C-D, the DI value is 0.1502 between AIM atomic space of Cl and H for GA-Tri, exhibiting that there are 0.1502 electrons shared by the two atoms in average. However, this value is 0.0108 for Met-Tri, about 14 times lower than the former one. To some extent, this observation also reflects that covalent nature of Cl···HOcarboxyl is stronger than that of Cl···HOphenolic hydroxyl. The averaged reduced density gradient (aRDG) method, which is developed based on Bader’s atoms in AIM theory, can be used to deeply investigate various non-bonded interactions in a fluctuating environment (Wu et al., 2013). Different type of interaction is intuitively shown with a different color: highly attractive interaction is blue such as hydrogen bond; weak interaction is green such as Van der Waals interaction; repulsive interaction is red such as steric clashes. As can be seen from Fig. 7A-B, darker blue reveals that the hydrogen-bond interactions of Cl···HOcarboxyl and Cl···HOphenolic hydroxyl are strong. The thermal fluctuation index (TFI) is a valuable new term defined in aRDG method, which can reflect the stability of non-covalent interactions network. More blue or red means the corresponding region is more stable or unstable. From Fig. 7C-D, it can be apparently seen that the hydrogen bond formed by phenolic compound is more flexible than that formed by glycolic acid. According to the published works (Fan et al., 2021b; Smith et al., 2014), the stability of hydrogen bonding interactions in the fluctuating systems is associated with the viscosity of DESs. Therefore, due to the strong covalency of Cl···HOcarboxyl, interaction network stability of ammonium salt/glycolic acid-based DES is more robust than that of ammonium salt/phenolics-based one. This is the main reason why ammonium salt/phenol-based DES show lower viscosity than ammonium salt/acid-based one.

Visualization and analysis of averaged non-covalent interaction (aNCI) at 298 K: Averaged non-covalent interaction analysis of GA-Tri (A) and Met-Tri (B); Fluctuation index (TFI) of GA-Tri (C) and Met-Tri (D). HBA/HBD molar ratio: 1:3.
Fig. 7
Visualization and analysis of averaged non-covalent interaction (aNCI) at 298 K: Averaged non-covalent interaction analysis of GA-Tri (A) and Met-Tri (B); Fluctuation index (TFI) of GA-Tri (C) and Met-Tri (D). HBA/HBD molar ratio: 1:3.

4

4 Conclusion

In this work, a series of systems composed of ammonium salts and two types of representative donors (glycolic acid and phenol/4-methylphenol) have been studied by quantum-chemistry calculations and molecular dynamics simulations to gain a deeper insight into the parameters which affect the viscosity of ionic DES. The viscosity of glycolic acid-based system is much higher than that of phenol/4-methylphenol-based system in the whole temperature range. In particular, the viscosity value of GA-Tri is 23 times over than that of Met-Tri. DESs containing glycolic acid show higher activation energy values compared with DESs containing phenolic compounds. It was found the existence of a stronger charge transfer complex between glycolic acid and ammonium salt, thus suggesting its vital role in the fluidity difference of studied systems. This phenomenon was also confirmed by electron density and atomic charge analysis. Therefore, we considered the effect of covalency difference that presents between the formed ionic eutectic mixtures. The hydrogen bonds of ammonium salt/glycolic acid-based system are partially covalent and partially electrostatic. Additionally, Cl···HOphenolic hydroxyl is expected to be less covalent than Cl···HOcarboxyl, which is also identified by lower delocalization index value in the AIM basin. Due to the strong covalency of Cl···HOcarboxyl, the interaction network stability of ammonium salt/glycolic acid-based DES is more robust than that of ammonium salt/phenolics-based one. The findings and the systematic approach we employed here to investigate how these parameters affect the viscosity of typical DES systems depend on the chemical environment can contribute to a more rational design of novel green solvents with low viscosity.

Acknowledgement

This work was financially supported by National Natural Science Foundation of China (32102069) and Beijing Natural Science Foundation and Beijing Municipal Education Committee (KZ202010011017).

Declaration of Competing Interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

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Appendix A

Supplementary material

Supplementary data to this article can be found online at https://doi.org/10.1016/j.arabjc.2021.103512.

Appendix A

Supplementary material

The following are the Supplementary data to this article:

Supplementary data 1

Supplementary data 1

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