Abstract

The development of the Li-ion battery Industry in a green way is crucial for human beings’ future. Ionic liquids (ILs) are green cosolvents that could be applied in Li-ion battery electrolytes. A thermodynamic study has been carried out for a Li-ion electrolyte (propylene carbonate (PC) + LiCl and LiBr) in the presence of IL 1-alkyl-3-methylimidazolium thiocyanate [RMIM][SCN] (R = butyl, hexyl, and octyl). The studied thermodynamic properties were density, speed of sound, apparent molar volume, and compressibility. The effect of ILs in propylene carbonate (PC) has been investigated under atmospheric pressure at T = (288.15–318.15) K. Also, a microscopic approach using scaled particle theory has been implemented. The solvation effect of lithium halides, LiX (X = Cl–, Br–), on the volumetric and compressibility properties of the ILs has been studied at 298.15 K. The results show that [OMIM][SCN] has the strongest interactions with PC in the studied ILs and these interactions are more weakened with the addition of LiBr than LiCl. According to the partial molar compressibility results, the systems containing [OMIM][SCN] could be used under pressure more beneficially than other systems from the thermodynamic aspect of view.
Introduction
Rechargeable world is the aim of recent research studies to reduce excessive energy resource consumption. Lithium capacitors are one of the most important rechargeable energy-storage devices. The lithium capacitors’ industry development led to an increased demand for lithium sources than ever.1 The investigations about extraction, separation, and purification around the systems containing lithium species have been increased.2−5 Also, there is some promising investigation that suggests optimization of the capacitors for a long life span instead of expensive separation methods that may cause environmental damages. Achieving environmentally friendly lithium power sources is the subject of the literature.6−10
Ionic liquids as environmentally friendly and biodegradable chemicals have advantages for industrial uses such as high thermal stability, etc.11,12 Imidazole-based ionic liquids with fluorinated anions have been used effectively to enhance the properties of the lithium batteries.13 However, it found that using fluorinated anion-based ILs may cause environmental damages in long term.14−16 To overcome this problem, cyano-based anions have been suggested recently. One of the best options for replacing fluorinated anions is thiocyanate.17,18 The imidazolium-based ILs with a thiocyanate anion are used effectively in various applications. Based on the literature, the use of these ILs, as well as fluorinated ILs, is promising.19,20
An electrolyte is an important part of a battery that affects ion mobility and consequently generated energy. Also, the electrolyte is the part that would be eliminated after cycles of usage. Accordingly, the electrolyte is related to the life span of the battery rather than other parts. One of the main and convenient species of a lithium capacitor electrolyte is propylene carbonate (PC) that has the best benefits for the developed technologies of Li capacitors.21−23 However, there are limited thermodynamic investigations around these systems.
In the present work, in the continuation of our previous experiences, a modeled lithium capacitor electrolyte has been designed to be investigated with a thermodynamic approach.24,25 The ILs with a thiocyanate anion, [RMIM][SCN] (R = butyl, hexyl, and octyl), have been studied. The density and speed of sound of binary and ternary systems containing (PC + ILs) and (PC + ILs + LiX (X = Cl, Br)), respectively, have been measured. Based on the measured properties, the apparent molar volume and apparent molar isentropic compressibility of the ILs have been evaluated and the standard partial molar volume and partial molar isentropic compressibility have been calculated. Scaled particle theory was used to obtain the different contributions of the standard partial molar volume. The results are used to interpret the interactions between the species.
Results and Discussion
Volumetric Properties
The density data of propylene carbonate are compared in Figure 1 with the literature and good agreement has been achieved.27−34 The error bars have been used in a 0.5% range for our data to compare with literature data, which show less difference than this value. However, in the previous work, the density and speed of sound data for propylene carbonate were different due to different sources of the supplier.25
Figure 1.

Experimental density of propylene carbonate (PC) versus temperature compared with literature data. Blue multiplication symbol: ref (34), red open square: ref (33), gray plus symbol: ref (32), yellow solid diamond: ref (31), blue solid square: ref (30), green solid triangle: ref (29), blue upward triangle: ref (28), red solid square: ref (27), and blue solid circle: this work.
The density of solutions containing ([RMIM][SCN] + PC) is measured under atmospheric pressure (P = 0.086 MPa) at temperature ranges T = (288.15–318.15) K. These data are given in Table 1, which shows the density data decrease with the addition of IL content. The apparent molar volumes, Vφ, of the ILs in the PC solutions were evaluated using the following equation24
| 1 |
Table 1. Density (d), Speed of Sound (u), Solvation Number (Sn), Apparent Molar Volume (Vφ), and Apparent Molar Isentropic Compressibility (κφ) Data of ([RMIM][SCN] + PC) at T = (288.15 to 318.15) K under Pressure (P = 0.086 MPa)a.
| mIL (mol kg–1) | d (kg m–3) | u (m s–1) | Sn | 106 Vφ (m3 mol–1) | 1014 κφ (m3 mol–1 Pa–1) |
|---|---|---|---|---|---|
| [BMIM][SCN] | |||||
| T = 288.15 K | |||||
| 0.0000 | 1209.663 | 1478.33 | |||
| 0.0129 | 1209.398 | 1479.24 | 76.49 | 177.13 | 4.25 |
| 0.0165 | 1209.324 | 1479.49 | 76.27 | 177.16 | 4.26 |
| 0.0192 | 1209.268 | 1479.68 | 76.24 | 177.19 | 4.26 |
| 0.0218 | 1209.214 | 1479.86 | 76.06 | 177.22 | 4.26 |
| 0.0235 | 1209.179 | 1479.97 | 75.59 | 177.23 | 4.28 |
| 0.0272 | 1209.103 | 1480.22 | 75.29 | 177.26 | 4.29 |
| 0.0289 | 1209.066 | 1480.34 | 75.24 | 177.30 | 4.29 |
| 0.0331 | 1208.978 | 1480.62 | 74.80 | 177.36 | 4.30 |
| T = 298.15 K | |||||
| 0.0000 | 1199.037 | 1442.90 | |||
| 0.0129 | 1198.772 | 1443.99 | 97.46 | 178.82 | 3.83 |
| 0.0165 | 1198.697 | 1444.29 | 97.19 | 178.90 | 3.84 |
| 0.0192 | 1198.641 | 1444.51 | 96.61 | 178.92 | 3.86 |
| 0.0218 | 1198.587 | 1444.72 | 96.12 | 178.95 | 3.87 |
| 0.0235 | 1198.551 | 1444.86 | 96.03 | 178.99 | 3.88 |
| 0.0272 | 1198.475 | 1445.16 | 95.74 | 179.01 | 3.89 |
| 0.0289 | 1198.437 | 1445.30 | 95.50 | 179.07 | 3.90 |
| 0.0331 | 1198.349 | 1445.64 | 95.20 | 179.12 | 3.91 |
| T = 308.15 K | |||||
| 0.0000 | 1188.430 | 1407.38 | |||
| 0.0129 | 1188.172 | 1408.61 | 115.65 | 180.16 | 3.42 |
| 0.0165 | 1188.100 | 1408.95 | 115.52 | 180.20 | 3.42 |
| 0.0192 | 1188.045 | 1409.20 | 114.93 | 180.24 | 3.45 |
| 0.0218 | 1187.992 | 1409.44 | 114.50 | 180.28 | 3.46 |
| 0.0235 | 1187.957 | 1409.59 | 113.91 | 180.32 | 3.48 |
| 0.0272 | 1187.883 | 1409.93 | 113.65 | 180.34 | 3.49 |
| 0.0289 | 1187.847 | 1410.08 | 113.03 | 180.38 | 3.51 |
| 0.0331 | 1187.761 | 1410.48 | 113.41 | 180.44 | 3.50 |
| T = 318.15 K | |||||
| 0.0000 | 1177.840 | 1372.65 | |||
| 0.0129 | 1177.595 | 1373.99 | 131.76 | 181.19 | 3.00 |
| 0.0165 | 1177.527 | 1374.36 | 131.60 | 181.20 | 3.01 |
| 0.0192 | 1177.475 | 1374.64 | 131.52 | 181.24 | 3.01 |
| 0.0218 | 1177.425 | 1374.90 | 130.90 | 181.27 | 3.03 |
| 0.0235 | 1177.392 | 1375.07 | 130.62 | 181.30 | 3.04 |
| 0.0272 | 1177.322 | 1375.44 | 130.20 | 181.32 | 3.06 |
| 0.0289 | 1177.288 | 1375.61 | 129.80 | 181.35 | 3.07 |
| 0.0331 | 1177.207 | 1376.02 | 129.02 | 181.40 | 3.10 |
| [HMIM][SCN] | |||||
| T = 288.15 K | |||||
| 0.0000 | 1209.663 | 1478.33 | |||
| 0.0119 | 1209.229 | 1479.24 | 71.55 | 211.23 | 5.70 |
| 0.0147 | 1209.128 | 1479.44 | 70.63 | 211.30 | 5.73 |
| 0.0174 | 1209.027 | 1479.64 | 69.91 | 211.32 | 5.75 |
| 0.0205 | 1208.915 | 1479.87 | 69.86 | 211.35 | 5.75 |
| 0.0215 | 1208.878 | 1479.94 | 69.56 | 211.38 | 5.76 |
| 0.0241 | 1208.781 | 1480.13 | 69.13 | 211.43 | 5.78 |
| 0.0265 | 1208.691 | 1480.30 | 68.56 | 211.49 | 5.80 |
| 0.0299 | 1208.567 | 1480.54 | 68.20 | 211.57 | 5.81 |
| T = 298.15 K | |||||
| 0.0000 | 1199.037 | 1442.90 | |||
| 0.0119 | 1198.608 | 1443.98 | 93.42 | 213.03 | 5.34 |
| 0.0147 | 1198.508 | 1444.22 | 92.55 | 213.11 | 5.37 |
| 0.0174 | 1198.407 | 1444.46 | 91.78 | 213.18 | 5.40 |
| 0.0205 | 1198.295 | 1444.74 | 92.07 | 213.24 | 5.39 |
| 0.0215 | 1198.256 | 1444.83 | 92.03 | 213.35 | 5.39 |
| 0.0241 | 1198.157 | 1445.04 | 90.42 | 213.47 | 5.45 |
| 0.0265 | 1198.066 | 1445.25 | 90.11 | 213.56 | 5.46 |
| 0.0299 | 1197.941 | 1445.54 | 89.80 | 213.67 | 5.47 |
| T = 308.15 K | |||||
| 0.0000 | 1188.430 | 1407.38 | |||
| 0.0119 | 1187.999 | 1408.62 | 114.74 | 215.27 | 4.95 |
| 0.0147 | 1187.898 | 1408.90 | 114.12 | 215.38 | 4.97 |
| 0.0174 | 1187.796 | 1409.18 | 113.48 | 215.47 | 4.99 |
| 0.0205 | 1187.683 | 1409.49 | 112.93 | 215.54 | 5.01 |
| 0.0215 | 1187.644 | 1409.59 | 112.70 | 215.65 | 5.03 |
| 0.0241 | 1187.545 | 1409.85 | 111.97 | 215.75 | 5.05 |
| 0.0265 | 1187.453 | 1410.09 | 111.47 | 215.86 | 5.07 |
| 0.0299 | 1187.327 | 1410.43 | 111.37 | 215.97 | 5.08 |
| T = 318.15 K | |||||
| 0.0000 | 1177.840 | 1372.65 | |||
| 0.0119 | 1177.409 | 1374.00 | 131.25 | 217.44 | 4.66 |
| 0.0147 | 1177.308 | 1374.30 | 130.09 | 217.55 | 4.70 |
| 0.0174 | 1177.206 | 1374.61 | 129.88 | 217.64 | 4.71 |
| 0.0205 | 1177.092 | 1374.95 | 129.40 | 217.75 | 4.73 |
| 0.0215 | 1177.055 | 1375.06 | 129.29 | 217.79 | 4.74 |
| 0.0241 | 1176.956 | 1375.35 | 128.86 | 217.90 | 4.75 |
| 0.0265 | 1176.865 | 1375.61 | 128.21 | 217.99 | 4.78 |
| 0.0299 | 1176.740 | 1375.96 | 127.11 | 218.08 | 4.82 |
| [OMIM][SCN] | |||||
| T = 288.15 K | |||||
| 0.0000 | 1209.683 | 1478.39 | |||
| 0.0088 | 1209.235 | 1479.26 | 89.61 | 244.32 | 6.37 |
| 0.0115 | 1209.094 | 1479.50 | 86.54 | 244.69 | 6.48 |
| 0.0133 | 1208.995 | 1479.66 | 84.42 | 244.92 | 6.56 |
| 0.0161 | 1208.844 | 1479.88 | 80.18 | 245.20 | 6.70 |
| 0.0183 | 1208.725 | 1480.04 | 76.88 | 245.42 | 6.81 |
| 0.0206 | 1208.600 | 1480.21 | 74.26 | 245.58 | 6.90 |
| 0.0229 | 1208.475 | 1480.35 | 70.67 | 245.84 | 7.03 |
| 0.0252 | 1208.342 | 1480.50 | 67.57 | 246.05 | 7.13 |
| T = 298.15 K | |||||
| 0.0000 | 1199.037 | 1442.91 | |||
| 0.0088 | 1198.601 | 1443.94 | 118.19 | 245.86 | 5.81 |
| 0.0115 | 1198.465 | 1444.23 | 115.34 | 246.14 | 5.91 |
| 0.0133 | 1198.370 | 1444.43 | 113.87 | 246.31 | 5.97 |
| 0.0161 | 1198.223 | 1444.70 | 109.26 | 246.62 | 6.13 |
| 0.0183 | 1198.108 | 1444.90 | 105.85 | 246.81 | 6.26 |
| 0.0206 | 1197.985 | 1445.11 | 102.91 | 247.03 | 6.36 |
| 0.0229 | 1197.864 | 1445.29 | 99.18 | 247.27 | 6.50 |
| 0.0252 | 1197.734 | 1445.49 | 96.31 | 247.50 | 6.61 |
| T = 308.15 K | |||||
| 0.0000 | 1188.430 | 1407.45 | |||
| 0.0088 | 1188.007 | 1408.60 | 141.96 | 247.31 | 5.31 |
| 0.0115 | 1187.875 | 1408.93 | 139.49 | 247.60 | 5.41 |
| 0.0133 | 1187.782 | 1409.15 | 137.33 | 247.81 | 5.50 |
| 0.0161 | 1187.641 | 1409.48 | 134.60 | 248.03 | 5.60 |
| 0.0183 | 1187.526 | 1409.71 | 130.75 | 248.36 | 5.75 |
| 0.0206 | 1187.406 | 1409.95 | 127.45 | 248.59 | 5.88 |
| 0.0229 | 1187.290 | 1410.18 | 124.76 | 248.77 | 5.98 |
| 0.0252 | 1187.161 | 1410.41 | 121.37 | 249.08 | 6.12 |
| T = 318.15 K | |||||
| 0.0000 | 1177.840 | 1372.72 | |||
| 0.0088 | 1177.427 | 1373.98 | 164.92 | 249.03 | 4.76 |
| 0.0115 | 1177.297 | 1374.34 | 161.89 | 249.38 | 4.89 |
| 0.0133 | 1177.208 | 1374.59 | 160.61 | 249.49 | 4.94 |
| 0.0161 | 1177.069 | 1374.95 | 157.21 | 249.77 | 5.09 |
| 0.0183 | 1176.961 | 1375.23 | 155.23 | 249.92 | 5.17 |
| 0.0206 | 1176.845 | 1375.49 | 151.09 | 250.13 | 5.33 |
| 0.0229 | 1176.732 | 1375.75 | 148.37 | 250.32 | 5.45 |
| 0.0252 | 1176.606 | 1376.02 | 145.36 | 250.63 | 5.57 |
Standard uncertainties for molality, temperature, and pressure were u (m) = 0.002 mol kg–1, u (T) = 0.02 K, and u (P) = 10 hPa, respectively, with a 0.68 level of confidence, and the combined standard uncertainties for density and speed of sound were uc (d) = 0.07 kg m–3 and uc (u) = 1.3 m s–1 with a 0.68 level of confidence. The standard uncertainties for the apparent molar volume and apparent molar isentropic compressibility were uc (Vφ) = 5.10–5 m3 mol–1 (level of confidence of 0.68) and uc (κφ) = 3.10–3 m3 mol-1 Pa–1 (level of confidence of 0.68), respectively.
where M is the molar mass of the IL, m is the molality of the IL, and d0 and d are the densities of the solvent (PC) and the solution, respectively. The Vφ values for the studied ILs in binary solutions are given in Table 1, and Figure 2 shows the plot of the Vφ values versus molality of ILs with different cation sizes where the Vφ values increased from butyl to octyl.
Figure 2.
Apparent molar volumes Vφ of [RMIM][SCN] in PC solution versus its molality m at T = 298.15 K. (●) [BMIM][SCN], (■) [HMIM][SCN], and (⧫) [OMIM][SCN], and solid lines represent the Redlich–Mayer model.
Also, the increasing Vφ values with temperature and molality are shown in Figure 3. The standard partial molar volumes, Vφ0, have been calculated with the Redlich–Mayer equation24
| 2 |
Figure 3.
Apparent molar volumes Vφ of [BMIM][SCN] in PC versus its molality m at different temperatures. (●) T = 288.15 K, (■) T = 298.15 K, (⧫) T = 308.15 K, and (▲) T = 318.15 K, and solid lines represent the corresponding Redlich–Mayer model.
where Vφ0, Sv, and Bv are given in Table 2, for the binary solutions. The Vφ values are criteria of solute–solvent interaction, while the Sv values are criteria of solute–solute interactions, and Bv is an adjustable parameter. The Vφ0 values of the studied ILs are increased by the alkyl chain length and increasing temperature in the binary solutions.
Table 2. Standard Partial Molar Volume Vφ0, Empirical Parameters of eq 2, SV and BV, the Standard Deviation of the Apparent Molar Volume σ(Vφ ), Standard Apparent Molar Expansibility Eφ, Isobaric Thermal Expansion (α), and the Constant of eq12 (∂2Vφ0/∂T2)p for the Solutions of [RMIM][SCN] in PC at Different Temperatures under Pressure (P = 0.086 MPa)a.
| T (K) | 106 Vφ0 (m3 mol–1) | 106 SV (m3 mol–1 kg–1/2) | 106 BV (m3 mol–1 kg–1) | 106 σ(Vφ) | 106 Eφ0 (m3 mol–1 K–1) | 104 α (K–1) | 106 (∂2 Vφ0/∂T2) (m3 mol–1 K–1) |
|---|---|---|---|---|---|---|---|
| [BMIM][SCN] | |||||||
| 288.15 | 176.70 ± 0.28 | 3.81 ± 0.04 | –1.92 ± 0.12 | 0.013 | 0.1721 | 9.738 | –0.0025 |
| 298.15 | 178.31 ± 0.32 | 4.67 ± 0.04 | –1.71 ± 0.14. | 0.015 | 0.1472 | 8.253 | |
| 308.15 | 179.64 ± 0.25 | 4.63 ± 0.03 | –1.75 ± 0.11 | 0.012 | 0.1222 | 6.805 | |
| 318.15 | 180.75 ± 0.26 | 3.87 ± 0.04 | –1.99 ± 0.12 | 0.012 | 0.0973 | 5.384 | |
| [HMIM][SCN] | |||||||
| 288.15 | 211.57 ± 0.32 | –8.12 ± 0.05 | 46.53 ± 0.16 | 0.014 | 0.2313 | 10.9318 | –0.0048 |
| 298.15 | 213.52 ± 0.60 | –13.97 ± 0.09 | 86.42 ± 0.31 | 0.026 | 0.1837 | 8.6029 | |
| 308.15 | 215.31 ± 0.48 | –7.54 ± 0.07 | 66.22 ± 0.24 | 0.021 | 0.1361 | 6.3207 | |
| 318.15 | 216.31 ± 0.17 | 10.3 ± 0.02 | –0.55 ± 0.09 | 0.014 | 0.0885 | 4.0911 | |
| [OMIM][SCN] | |||||||
| 288.15 | 241.95 ± 0.14 | 25.13 ± 0.02 | 3.35 ± 0.09 | 0.022 | 0.2918 | 12.06 | –0.0059 |
| 298.15 | 244.84 ± 0.24 | 2.44 ± 0.04 | 90.02 ± 0.15 | 0.009 | 0.2327 | 9.503 | |
| 308.15 | 246.47 ± 0.22 | –1.58 ± 0.04 | 112.58 ± 0.14 | 0.030 | 0.1735 | 7.041 | |
| 318.15 | 248.18 ± 0.26 | 1.33 ± 0.04 | 86.74 ± 0.16 | 0.040 | 0.1144 | 4.610 | |
Standard uncertainties for temperature and pressure were u (T) = 0.02K and u (P) = 10 hPa, respectively, with a 0.68 level of confidence.
Scaled particle theory (SPT), as a microscopic viewpoint, was used to determine different contributions of the partial molar volume, namely, the cavity volume (Vcav), the interactional volume (Vint), and the state transitional volume (κTRT) changes due to components’ isothermal transition from a vapor to liquid phase, and κT is isothermal compressibility of the solvent. The corresponding equation is24,26
| 3 |
where R is the universal gas constant and T is the absolute temperature. The cavity volume was calculated using equations
| 4 |
| 5 |
| 6 |
In eqs 4–6, NA is the Avogadro constant, V is the molar volume of the solvent, and σ1 and σ2 are the diameters of the solvent (PC) and solute (IL), respectively, which are obtained by a procedure defined by Abraham35 using the Bondi36 method for atomic Van der Waals volumes. The symbol z is the ratio of the solute to solvent diameters. The κT values for PC were calculated by the following equation
| 7 |
where κs is isentropic compressibility, CP is the isobaric heat capacity of the solvent (PC) that is taken from the literature, α is thermal expansion, and V is the molar volume of the solvent. The calculated κT values are in good agreement with the literature.37,38 The calculated values of Vcav and Vint are given in Table 3. As can be seen, Vcav increases and Vint decreases with an increase in the alkyl chain length. A more negative value of Vint demonstrates stronger solute–solvent interactions between PC and [OMIM][SCN]. However, increasing temperature led to decreased interactions.
Table 3. Isothermal Compressibility (κT), Isothermal Volume Transition Contribution (κTRT), and Interactional and Cavity Volumes of the Standard Partial Molar Volume of [RMIM][SCN] in Propylene Carbonate with SPT at T = (288.15–318.15) K under Pressure (P = 0.086 MPa)a.
| T (K) | 1010 κT (Pa–1) | 106 κT RT (m3 mol–1) | 106 Vcav | 106 Vint |
|---|---|---|---|---|
| [BMIM][SCN] | ||||
| 288.15 | 5.22 | 1.25 | 1563.23 | –1391.64 |
| 298.15 | 5.08 | 1.26 | 1465.88 | –1292.68 |
| 308.15 | 5.00 | 1.28 | 1376.51 | –1201.98 |
| 318.15 | 4.99 | 1.32 | 1294.33 | –1118.69 |
| [HMIM][SCN] | ||||
| 288.15 | 5.60 | 1.34 | 1760.58 | –1567.32 |
| 298.15 | 5.17 | 1.28 | 1651.17 | –1456.08 |
| 308.15 | 4.90 | 1.26 | 1550.73 | –1353.96 |
| 318.15 | 4.79 | 1.24 | 1458.38 | –1260.68 |
| [OMIM][SCN] | ||||
| 288.15 | 5.99 | 1.44 | 2015.52 | –1778.93 |
| 298.15 | 5.43 | 1.35 | 1890.17 | –1650.69 |
| 308.15 | 5.05 | 1.30 | 1775.11 | –1534.00 |
| 318.15 | 4.86 | 1.28 | 1669.32 | –1426.50 |
Standard uncertainties for temperature and pressure were u (T) = 0.02K and u (P) = 10 hPa, respectively, with a 0.68 level of confidence.
The Vφ0 values of temperature dependency are fitted with a second-degree polynomial equation24,26
| 8 |
where A, B, and C are the empirical parameters of the equation. The standard apparent molar expansibility at constant pressure Eφ0 was calculated using the following equation24
| 9 |
The Eφ0 values are given in Table 2. These values are positive and increased with increasing IL cation size. Also, this variable decreased with increasing temperature. The isobaric thermal expansion was evaluated as a function of Vφ and Eφ0 by the following equation24
| 10 |
The calculated values of α for ([RMIM][SCN] + PC) are given in Table 2. The α value is increased with increasing cation size and decreases with increasing temperature. The value of α is a criterion for the response of the volume of a system to increasing temperature. The large value of this factor gets more sensitive in the system volume with temperature change. The observed trend for α and Eφ0 is similar to the cavity volume. The pressure would also break the solvent structure and the same reason suggests that the heat capacity decreases. Hepler et al.’s39 determined relation for structure making or breaking behavior of a solute in a solution is given by the following equations
| 11 |
| 12 |
where (∂2Vφ0/∂T2) is the constant for the ILs, as given in Table 2. As can be seen, this parameter decreases with increasing cation size. Negative values of this parameter mean the ILs have structure-breaking behavior in PC, and this behavior intensity order is octyl > hexyl > butyl.The measured density data of ternary solutions containing solute [RMIM][SCN], in the solvent consisting of (PC + LiCl or LiBr), and the corresponding Vφ values that have been calculated with eq 1 are given in Table 4.
Table 4. Density (d), Speed of Sound (u), Solvation Number (Sn), Apparent Molar Volume (Vφ), and Apparent Molar Compressibility (κφ) Data of [RMIM][SCN] in (PC + LiX (X = Cl– and Br–)) Solutions at T = 298.15 K under Pressure (P = 0.086 MPa)a.
| mIL (mol kg–1) | d (kg m–3) | u (m s–1) | Sn | 106 Vφ (m3 mol–1) | 1014 κφ (m3 mol–1 Pa–1) |
|---|---|---|---|---|---|
| [BMIm]SCN + PC + LiBr | |||||
| mLiBr = 0.0035 mol kg–1 | |||||
| 0.0000 | 1199.180 | 1442.83 | |||
| 0.0141 | 1198.884 | 1443.78 | 74.26 | 179.16 | 4.64 |
| 0.0177 | 1198.808 | 1444.04 | 75.53 | 179.19 | 4.59 |
| 0.0206 | 1198.748 | 1444.25 | 76.50 | 179.20 | 4.56 |
| 0.0250 | 1198.656 | 1444.59 | 78.46 | 179.20 | 4.49 |
| 0.0281 | 1198.591 | 1444.83 | 79.53 | 179.22 | 4.45 |
| 0.0317 | 1198.515 | 1445.11 | 80.39 | 179.22 | 4.42 |
| 0.0340 | 1198.467 | 1445.29 | 81.02 | 179.23 | 4.40 |
| 0.0383 | 1198.375 | 1445.62 | 81.54 | 179.26 | 4.38 |
| mLiBr = 0.0062 mol kg–1 | |||||
| 0.0000 | 1199.383 | 1442.70 | |||
| 0.0142 | 1199.040 | 1443.60 | 66.34 | 181.34 | 5.00 |
| 0.0167 | 1198.979 | 1443.77 | 67.27 | 181.38 | 4.97 |
| 0.0197 | 1198.905 | 1443.98 | 68.28 | 181.41 | 4.93 |
| 0.0235 | 1198.813 | 1444.24 | 69.18 | 181.46 | 4.90 |
| 0.0290 | 1198.679 | 1444.63 | 70.50 | 181.49 | 4.85 |
| 0.0326 | 1198.590 | 1444.90 | 71.66 | 181.53 | 4.81 |
| 0.0334 | 1198.571 | 1444.98 | 72.82 | 181.54 | 4.77 |
| 0.0385 | 1198.444 | 1445.35 | 73.40 | 181.59 | 4.75 |
| mLiBr = 0.0097 mol kg–1 | |||||
| 0.0000 | 1199.688 | 1442.63 | |||
| 0.0131 | 1199.333 | 1443.40 | 57.91 | 183.40 | 5.37 |
| 0.0172 | 1199.220 | 1443.66 | 59.10 | 183.42 | 5.33 |
| 0.0189 | 1199.174 | 1443.77 | 59.83 | 183.46 | 5.30 |
| 0.0242 | 1199.028 | 1444.10 | 60.14 | 183.48 | 5.29 |
| 0.0282 | 1198.920 | 1444.36 | 61.04 | 183.49 | 5.26 |
| 0.0325 | 1198.802 | 1444.65 | 62.07 | 183.52 | 5.22 |
| 0.0358 | 1198.712 | 1444.89 | 63.43 | 183.55 | 5.18 |
| 0.0392 | 1198.618 | 1445.15 | 64.93 | 183.58 | 5.12 |
| [BMIm]SCN + PC + LiCl | |||||
| mLiCl = 0.0031 mol kg–1 | |||||
| 0.0000 | 1199.109 | 1442.84 | |||
| 0.0138 | 1198.829 | 1443.85 | 83.11 | 178.70 | 4.33 |
| 0.0171 | 1198.761 | 1444.10 | 83.46 | 178.71 | 4.31 |
| 0.0211 | 1198.681 | 1444.40 | 84.12 | 178.72 | 4.29 |
| 0.0241 | 1198.619 | 1444.63 | 84.39 | 178.74 | 4.28 |
| 0.0295 | 1198.510 | 1445.04 | 84.97 | 178.77 | 4.26 |
| 0.0332 | 1198.434 | 1445.32 | 85.00 | 178.78 | 4.25 |
| 0.0359 | 1198.377 | 1445.53 | 85.14 | 178.82 | 4.25 |
| 0.0395 | 1198.302 | 1445.80 | 85.13 | 178.86 | 4.25 |
| mLiCl = 0.0059 mol kg–1 | |||||
| 0.0000 | 1199.241 | 1442.73 | |||
| 0.0130 | 1198.960 | 1443.63 | 77.12 | 179.63 | 4.58 |
| 0.0174 | 1198.864 | 1443.94 | 77.31 | 179.65 | 4.57 |
| 0.0204 | 1198.798 | 1444.16 | 77.88 | 179.67 | 4.55 |
| 0.0240 | 1198.721 | 1444.41 | 77.96 | 179.68 | 4.55 |
| 0.0290 | 1198.611 | 1444.77 | 78.22 | 179.71 | 4.54 |
| 0.0331 | 1198.523 | 1445.07 | 78.75 | 179.71 | 4.52 |
| 0.0356 | 1198.467 | 1445.26 | 79.09 | 179.73 | 4.50 |
| 0.0400 | 1198.372 | 1445.58 | 79.41 | 179.75 | 4.49 |
| mLiCl = 0.0100 mol kg–1 | |||||
| 0.0000 | 1199.447 | 1442.65 | |||
| 0.0131 | 1199.142 | 1443.47 | 66.79 | 180.70 | 4.99 |
| 0.0174 | 1199.042 | 1443.74 | 66.94 | 180.74 | 4.98 |
| 0.0198 | 1198.987 | 1443.89 | 67.04 | 180.74 | 4.98 |
| 0.0234 | 1198.901 | 1444.13 | 67.56 | 180.77 | 4.96 |
| 0.0280 | 1198.796 | 1444.42 | 67.78 | 180.78 | 4.95 |
| 0.0318 | 1198.706 | 1444.66 | 67.68 | 180.82 | 4.95 |
| 0.0355 | 1198.620 | 1444.91 | 68.29 | 180.83 | 4.93 |
| 0.0388 | 1198.543 | 1445.12 | 68.27 | 180.84 | 4.93 |
| [HMIm]SCN + PC + LiBr | |||||
| mLiBr = 0.0035 mol kg–1 | |||||
| 0.0000 | 1199.208 | 1442.87 | |||
| 0.0111 | 1198.787 | 1443.58 | 56.07 | 214.47 | 6.67 |
| 0.0143 | 1198.662 | 1443.80 | 56.94 | 214.49 | 6.64 |
| 0.0197 | 1198.458 | 1444.15 | 57.06 | 214.51 | 6.64 |
| 0.0236 | 1198.311 | 1444.41 | 57.58 | 214.55 | 6.62 |
| 0.0278 | 1198.149 | 1444.70 | 58.11 | 214.56 | 6.60 |
| 0.0358 | 1197.847 | 1445.25 | 59.09 | 214.59 | 6.56 |
| 0.0390 | 1197.726 | 1445.46 | 59.05 | 214.63 | 6.56 |
| 0.0447 | 1197.508 | 1445.85 | 59.31 | 214.67 | 6.55 |
| mLiBr = 0.0058 mol kg–1 | |||||
| 0.0000 | 1199.497 | 1442.76 | |||
| 0.0103 | 1199.076 | 1443.38 | 48.23 | 216.27 | 7.02 |
| 0.0159 | 1198.848 | 1443.72 | 48.56 | 216.31 | 7.00 |
| 0.0203 | 1198.672 | 1443.99 | 49.16 | 216.32 | 6.98 |
| 0.0251 | 1198.477 | 1444.29 | 49.62 | 216.34 | 6.96 |
| 0.0282 | 1198.348 | 1444.49 | 49.89 | 216.35 | 6.95 |
| 0.0336 | 1198.130 | 1444.82 | 49.90 | 216.36 | 6.95 |
| 0.0387 | 1197.926 | 1445.13 | 49.97 | 216.40 | 6.95 |
| 0.0426 | 1197.767 | 1445.38 | 50.28 | 216.43 | 6.94 |
| mLiBr = 0.0095 mol kg–1 | |||||
| 0.0000 | 1199.743 | 1442.58 | |||
| 0.0104 | 1199.284 | 1443.17 | 41.01 | 218.55 | 7.35 |
| 0.0149 | 1199.085 | 1443.43 | 41.35 | 218.57 | 7.34 |
| 0.0188 | 1198.916 | 1443.65 | 41.47 | 218.61 | 7.34 |
| 0.0243 | 1198.673 | 1443.97 | 41.72 | 218.62 | 7.33 |
| 0.0279 | 1198.515 | 1444.18 | 41.94 | 218.64 | 7.32 |
| 0.0331 | 1198.287 | 1444.48 | 42.02 | 218.67 | 7.32 |
| 0.0386 | 1198.046 | 1444.80 | 42.17 | 218.69 | 7.31 |
| 0.0417 | 1197.911 | 1444.99 | 42.58 | 218.71 | 7.30 |
| [HMIm]SCN + PC + LiCl | |||||
| mLiCl = 0.0033 mol kg–1 | |||||
| 0.0000 | 1199.225 | 1442.85 | |||
| 0.0114 | 1198.793 | 1443.63 | 62.35 | 214.41 | 6.47 |
| 0.0142 | 1198.686 | 1443.83 | 62.96 | 214.42 | 6.44 |
| 0.0191 | 1198.501 | 1444.17 | 63.16 | 214.43 | 6.44 |
| 0.0248 | 1198.285 | 1444.57 | 63.42 | 214.45 | 6.42 |
| 0.0299 | 1198.093 | 1444.92 | 63.32 | 214.48 | 6.43 |
| 0.0328 | 1197.980 | 1445.13 | 63.45 | 214.50 | 6.42 |
| 0.0381 | 1197.781 | 1445.51 | 63.93 | 214.52 | 6.40 |
| 0.0401 | 1197.705 | 1445.66 | 64.31 | 214.55 | 6.39 |
| mLiCl = 0.0061 mol kg–1 | |||||
| 0.0000 | 1199.368 | 1442.75 | |||
| 0.0103 | 1198.958 | 1443.40 | 53.41 | 215.54 | 6.82 |
| 0.0146 | 1198.789 | 1443.68 | 54.52 | 215.57 | 6.78 |
| 0.0185 | 1198.636 | 1443.93 | 54.81 | 215.59 | 6.77 |
| 0.0229 | 1198.460 | 1444.22 | 55.14 | 215.61 | 6.76 |
| 0.0292 | 1198.209 | 1444.63 | 55.27 | 215.65 | 6.76 |
| 0.0331 | 1198.055 | 1444.89 | 55.67 | 215.67 | 6.74 |
| 0.0375 | 1197.881 | 1445.17 | 55.50 | 215.69 | 6.75 |
| 0.0426 | 1197.681 | 1445.51 | 55.93 | 215.72 | 6.73 |
| mLiCl = 0.0104 mol kg–1 | |||||
| 0.0000 | 1199.467 | 1442.62 | |||
| 0.0111 | 1199.014 | 1443.23 | 42.04 | 216.43 | 7.25 |
| 0.0143 | 1198.880 | 1443.42 | 42.92 | 216.44 | 7.22 |
| 0.0197 | 1198.661 | 1443.73 | 43.66 | 216.45 | 7.20 |
| 0.0236 | 1198.503 | 1443.95 | 43.80 | 216.48 | 7.19 |
| 0.0278 | 1198.329 | 1444.19 | 43.76 | 216.50 | 7.19 |
| 0.0358 | 1198.005 | 1444.65 | 44.18 | 216.52 | 7.18 |
| 0.0390 | 1197.876 | 1444.84 | 44.55 | 216.54 | 7.16 |
| 0.0447 | 1197.644 | 1445.17 | 44.68 | 216.56 | 7.16 |
| [OMIm]SCN + PC + LiBr | |||||
| mLiBr = 0.0038 mol kg–1 | |||||
| 0.0000 | 1199.227 | 1442.80 | |||
| 0.0096 | 1198.733 | 1443.41 | 44.26 | 247.20 | 8.39 |
| 0.0133 | 1198.543 | 1443.66 | 45.84 | 247.26 | 8.34 |
| 0.0155 | 1198.428 | 1443.81 | 46.29 | 247.27 | 8.32 |
| 0.0184 | 1198.280 | 1444.01 | 47.22 | 247.30 | 8.29 |
| 0.0237 | 1198.010 | 1444.37 | 48.03 | 247.33 | 8.26 |
| 0.0266 | 1197.856 | 1444.58 | 48.60 | 247.37 | 8.24 |
| 0.0300 | 1197.686 | 1444.81 | 48.97 | 247.37 | 8.23 |
| 0.0322 | 1197.570 | 1444.98 | 49.74 | 247.39 | 8.20 |
| mLiBr = 0.0060 mol kg–1 | |||||
| 0.0000 | 1199.422 | 1442.68 | |||
| 0.0099 | 1198.897 | 1443.28 | 39.14 | 248.38 | 8.61 |
| 0.0127 | 1198.743 | 1443.47 | 40.65 | 248.44 | 8.56 |
| 0.0162 | 1198.562 | 1443.69 | 41.38 | 248.43 | 8.54 |
| 0.0194 | 1198.389 | 1443.90 | 41.82 | 248.44 | 8.52 |
| 0.0227 | 1198.217 | 1444.11 | 42.20 | 248.47 | 8.51 |
| 0.0263 | 1198.027 | 1444.34 | 42.41 | 248.49 | 8.50 |
| 0.0299 | 1197.832 | 1444.58 | 42.76 | 248.53 | 8.49 |
| 0.0322 | 1197.709 | 1444.74 | 43.32 | 248.58 | 8.47 |
| mLiBr = 0.0098 mol kg–1 | |||||
| 0.0000 | 1199.584 | 1442.52 | |||
| 0.0097 | 1199.043 | 1443.09 | 34.22 | 250.03 | 8.85 |
| 0.0132 | 1198.850 | 1443.31 | 35.92 | 250.07 | 8.79 |
| 0.0168 | 1198.648 | 1443.54 | 36.95 | 250.13 | 8.76 |
| 0.0194 | 1198.504 | 1443.70 | 37.13 | 250.14 | 8.75 |
| 0.0244 | 1198.230 | 1444.02 | 38.23 | 250.16 | 8.71 |
| 0.0267 | 1198.100 | 1444.18 | 39.03 | 250.19 | 8.68 |
| 0.0302 | 1197.904 | 1444.40 | 39.04 | 250.22 | 8.68 |
| 0.0330 | 1197.749 | 1444.59 | 39.71 | 250.25 | 8.66 |
| [OMIm]SCN + PC + LiCl | |||||
| mLiCl = 0.0032 mol kg–1 | |||||
| 0.0000 | 1199.177 | 1442.90 | |||
| 0.0110 | 1198.620 | 1443.65 | 51.88 | 246.98 | 8.13 |
| 0.0140 | 1198.445 | 1443.89 | 52.32 | 247.04 | 8.11 |
| 0.0180 | 1198.237 | 1444.18 | 52.92 | 247.07 | 8.09 |
| 0.0200 | 1198.161 | 1444.29 | 53.41 | 247.12 | 8.07 |
| 0.0240 | 1197.926 | 1444.62 | 53.81 | 247.13 | 8.06 |
| 0.0290 | 1197.715 | 1444.91 | 53.77 | 247.17 | 8.06 |
| 0.0300 | 1197.646 | 1445.01 | 54.00 | 247.18 | 8.05 |
| 0.0340 | 1197.459 | 1445.29 | 54.86 | 247.21 | 8.02 |
| mLiCl = 0.0064 mol kg–1 | |||||
| 0.0000 | 1199.276 | 1442.74 | |||
| 0.0100 | 1198.724 | 1443.41 | 44.61 | 248.42 | 8.44 |
| 0.0150 | 1198.479 | 1443.72 | 45.77 | 248.49 | 8.40 |
| 0.0170 | 1198.394 | 1443.83 | 46.22 | 248.51 | 8.39 |
| 0.0200 | 1198.233 | 1444.04 | 46.99 | 248.55 | 8.36 |
| 0.0220 | 1198.124 | 1444.18 | 47.24 | 248.58 | 8.35 |
| 0.0260 | 1197.869 | 1444.51 | 47.76 | 248.60 | 8.33 |
| 0.0300 | 1197.669 | 1444.77 | 48.10 | 248.62 | 8.32 |
| 0.0320 | 1197.556 | 1444.92 | 48.38 | 248.63 | 8.31 |
| mLiCl = 0.0100 mol kg–1 | |||||
| 0.0000 | 1199.413 | 1442.63 | |||
| 0.0095 | 1198.887 | 1443.17 | 32.51 | 250.01 | 8.92 |
| 0.0133 | 1198.675 | 1443.40 | 33.78 | 250.05 | 8.88 |
| 0.0155 | 1198.551 | 1443.54 | 34.70 | 250.07 | 8.85 |
| 0.0184 | 1198.391 | 1443.72 | 35.53 | 250.11 | 8.82 |
| 0.0237 | 1198.100 | 1444.04 | 36.04 | 250.13 | 8.80 |
| 0.0266 | 1197.934 | 1444.23 | 36.63 | 250.16 | 8.78 |
| 0.0300 | 1197.750 | 1444.45 | 37.56 | 250.19 | 8.75 |
| 0.0322 | 1197.625 | 1444.60 | 38.11 | 250.21 | 8.73 |
Standard uncertainties for molality, temperature, and pressure were u (m) = 0.002 mol kg–1, u (T) = 0.02 K, and u (P) = 10 hPa, respectively, with a 0.68 level of confidence, and the combined standard uncertainties for density and speed of sound were uc (d) = 0.07 kg m–3 and uc (u) = 1.3 m s–1 with a 0.68 of level of confidence. The standard uncertainties of the apparent molar volume and apparent molar isentropic compressibility were uc (Vφ) = 5.10–5 m3 mol–1 (level of confidence of 0.68) and uc (κφ) = 3.10–3 m3 mol-1 Pa–1 (level of confidence of 0.68), respectively.
The effect of LiX (X = Cl, Br) on the Vφ values of the [HMIM][SCN] is shown in Figure 4. This figure demonstrates that the addition of the LiBr content increases the Vφ values of [HMIM][SCN].
Figure 4.
Apparent molar volumes Vφ of [HMIM]SCN against its molality m in a (PC + LiBr) solution at T = 298.15 K at different concentrations of LiBr. (●) 0.0036 mol kg–1, (■) 0.0064 mol kg–1, and (⧫) 0.0099 mol kg–1, and solid lines represent the corresponding Redlich–Mayer model.
In Figure 5, the effect of anion size (Cl– and Br–) on the Vφ values of [HMIM][SCN] has been shown. It is clear that a Br– anion has a stronger effect rather than a Cl– anion.
Figure 5.
Apparent molar volumes Vφ of [HMIM][SCN] in PC versus its molality m in the presence of about 0.01 mol kg–1 of LiX salts at T = 298.15 K. (■) LiCl and (●) LiBr, and solid lines represent the calculated Redlich–Mayer values.
The standard partial molar volumes Vφ0 of the ILs in (LiX + PC) solutions at different concentrations of LiX are given in Table 5. Results show that a Br– anion has a stronger effect than a Cl– anion on the Vφ values. The partial molar volumes of transfer ΔtrVφ0 of the ionic liquids have been obtained for [RMIM][SCN] from PC to (LiX + PC) solutions.
| 13 |
Table 5. Standard Partial Molar Volume (Vφ0), Empirical Parameters of eq 2, SV and BV, the Partial Molar Volume of Transfer (ΔtrVφ0), and the Standard Deviation of the Apparent Molar Volume σ(Vφ) for the Ternary Solutions Containing (IL + LiX + PC) at Different Concentrations of LiX at T = 298.15 K under Pressure (P = 0.086 MPa)a.
| mLiX (mol kg–1) | 106 Vφ0(m3 mol–1) | 106 SV (m3 mol–1 kg–1/2) | 106 BV (m3 mol–1 kg–1) | 106 Δtr Vφ0 (m3 mol–1) | 106 σ(Vφ0) |
|---|---|---|---|---|---|
| [BMIM][SCN] + PC + LiBr | |||||
| 0.0000 | 178.31 ± 0.32 | 4.67 ± 0.04 | –1.71 ± 0.15 | 0.015 | |
| 0.0035 | 178.96 ± 0.13 | 2.02 ± 0.02 | –2.96 ± 0.05 | 0.65 | 0.008 |
| 0.0056 | 180.93 ± 0.16 | 3.81 ± 0.02 | –2.44 ± 0.06 | 2.62 | 0.008 |
| 0.0095 | 183.10 ± 0.17 | 2.89 ± 0.02 | –2.74 ± 0.07 | 4.79 | 0.011 |
| [BMIM][SCN] + PC + LiCl | |||||
| 0.0000 | 178.31 ± 0.32 | 4.67 ± 0.04 | –1.71 ± 0.15 | 0.015 | |
| 0.0028 | 178.98 ± 0.12 | –4.92 ± 0.02 | 21.37 ± 0.05 | 0.67 | 0.007 |
| 0.0057 | 179.40 ± 0.08 | 2.3 ± 0.01 | –2.88 ± 0.03 | 1.09 | 0.006 |
| 0.0100 | 180.45 ± 0.12 | 2.55 ± 0.02 | –2.79 ± 0.05 | 2.13 | 0.008 |
| [HMIM][SCN] + PC+ LiBr | |||||
| 0.0000 | 213.52 ± 0.60 | –13.97 ± 0.09 | 86.42 ± 0.31 | 0.026 | |
| 0.0036 | 214.46 ± 0.08 | –0.66 ± 0.01 | 7.79 ± 0.3 | 0.94 | 0.007 |
| 0.0064 | 216.29 ± 0.07 | –0.84 ± 0.01 | 7.08 ± 0.03 | 2.77 | 0.007 |
| 0.0099 | 218.46 ± 0.08 | 0.57 ± 001 | 3.20 ± 0.02 | 4.94 | 0.005 |
| [HMIM][SCN] + PC+ LiCl | |||||
| 0.0000 | 213.52 ± 0.60 | –13.97 ± 0.09 | 86.42 ± 0.31 | 0.026 | |
| 0.0036 | 214.53 ± 0.07 | –2.46 ± 0.01 | 12.52 ± 0.03 | 1.01 | 0.005 |
| 0.0065 | 215.47 ± 0.02 | 0.20 ± 0.00 | 4.97 ± 0.01 | 1.95 | 0.002 |
| 0.0104 | 216.39 ± 0.07 | –0.07 ± 0.01 | 4.18 ± 0.03 | 2.87 | 0.006 |
| [OMIM][SCN] + PC+ LiBr | |||||
| 0.0000 | 244.84 ± 0.24 | 2.44 ± 0.04 | 90.02 ± 0.15 | 0.009 | |
| 0.0038 | 246.94 ± 0.07 | 3.09 ± 0.01 | –3.07 ± 0.04 | 2.10 | 0.005 |
| 0.0060 | 248.58 ± 0.22 | –3.86 ± 0.03 | 21.02 ± 0.12 | 3.74 | 0.016 |
| 0.0092 | 249.73 ± 0.14 | 3.37 ± 0.02 | –3.09 ± 0.07 | 4.89 | 0.010 |
| [OMIM][SCN] + PC+ LiCl | |||||
| 0.0000 | 244.84 ± 0.24 | 2.44 ± 0.04 | 90.02 ± 0.15 | 0.009 | |
| 0.0032 | 246.64 ± 0.16 | 3.67 ± 0.02 | –3.20 ± 0.08 | 1.80 | 0.010 |
| 0.0060 | 248.10 ± 0.16 | 3.60 ± 0.02 | –3.16 ± 0.08 | 3.26 | 0.010 |
| 0.0100 | 249.73 ± 0.08 | 3.18 ± 0.01 | –3.07 ± 0.04 | 4.89 | 0.006 |
Standard uncertainties for molality, temperature, and pressure were (m) = 0.002 mol kg–1, u (T) = 0.02K, and u (P) = 10 hPa, respectively, with a 0.68 level of confidence.
The ΔtrVφ0 values are reported in Table 5. These values are positive and increase with increasing LiX concentration. The ΔtrVφ value is a measure of interaction between solute1 (IL) and solute2 (LiX). The possible interactions for the studied solutions due to the different functional groups of the components are polar–ionic, polar–polar, polar–nonpolar, and nonpolar–nonpolar interactions.40,41 According to the cosphere overlap model, the positive ΔtrVφ0 value indicates strong ion–ion and ion–polar interactions between [RMIM][SCN] and LiX.24,26 On the other hand, LiBr has stronger interactions than LiCl with ionic liquids, as shown in Table 5.
Compressibility Properties
The measured speeds of sound (u) data for the binary (IL + PC) and ternary (IL + PC +LiX) solutions are given in Tables 1 and 4, respectively. These data were used to calculate the isentropic compressibility, κs, with help of Laplace–Newton’s relation.24
| 14 |
This quantity can be considered as the bulk modulus behavior of the solution. The solvation numbers were calculated from the κs values by the Pasynski equation.42
| 15 |
where n1 and n2 are numbers of moles of the solvent and the solute, respectively, and κs and κs0 are isentropic compressibility of the solution and the solvent [PC or (PC + LiX)], respectively. The calculated values of Sn are given in Tables 1 and 4 for the investigated binary and ternary solutions. The Sn values were increased with increasing temperature. These values were decreased with the addition of the LiX salt. This may be related to the coordination of PC molecules to Li+, as confirmed by the Raman spectroscopy study of the lithium salts in PC.40 Consequently, IL solvation numbers were decreased. It means that the coordination of PC to Li+ is more favorable rather than the IL solvation.
The apparent molar isentropic compressibility, κφ, of the ILs has been determined in the solution with the following relation24
| 16 |
The κφ values of the ILs in the studied solutions are given in Tables 1 and 4 for the corresponding binary and ternary solutions, respectively. These values increase by the addition of the IL in the studied binary solutions (IL + PC). The κφ values are higher for a longer alkyl chain length of the ILs [OMIM][SCN], as shown in Figure 6.
Figure 6.
Apparent molar isentropic compressibility κφ values of [RMIM][SCN] versus its molality m at T = 298.15 K. (●) [BMIM][SCN], (■) [HMIM][SCN], and (⧫) [OMIM][SCN], and solid lines show the corresponding Redlich–Mayer model.
The results indicate that the κφ values of the ILs, [OMIM][SCN], increase at a higher concentration of LiBr (Figure 7).
Figure 7.
Apparent molar isentropic compressibility values, κφ, of [OMIM][SCN] in PC + LiBr {(●) 0.0038 mol kg–1, (■) 0.0060 mol kg–1, and (⧫) 0.0092 mol kg–1}, and solid lines show the Redlich model at T = 298.15 K.
Also, it found that the LiBr solution κφ values are larger than LiCl solutions, as given in Table 4. The influence of temperature on the κφ values of [BMIM][SCN] at (288.15–318.15) K is plotted in Figure 8, which represents a decreasing trend at a higher temperature.
Figure 8.
Apparent molar isentropic compressibility κφ values of [BMIM][SCN] in PC versus its molality m at different temperatures. (●) T = 288.15 K, (■) T = 298.15 K, (⧫) T = 308.15 K, and (▲) T = 318.15 K, and solid lines represent the Redlich–Mayer model.
The obtained κφ values of the studied ILs of binary (IL + PC) and ternary (IL + LiX + PC) solutions were fitted to the following equation24
| 17 |
where κφ0 is the partial molar isentropic compressibility and Sk and Bk are the empirical parameters of the equation. The obtained parameters for the investigated solutions are listed in Tables 6 and 7 for the studied solutions. The κφ values increase with the alkyl chain length of the ILs.
Table 6. Partial Molar Isentropic Compressibility κφ0, Empirical Parameters of eq 17, Sκ and Bκ, and Standard Deviation of Apparent Molar Isentropic Compressibility σ(κφ) of [RMIM][SCN] in PC T = (288.15–318.15) K under Pressure (P = 0.086 MPa)a.
| T (K) | 1014 κφ0 (m3 mol–1 Pa–1) | 1014 Sκ (m3 mol–3/2 kg1/2 Pa–1) | 1014 Bκ (m3 mol–2 kg Pa–1) | 1014 σ (κφ0) |
|---|---|---|---|---|
| [BMIM][SCN] | ||||
| 288.15 | 4.17 ± 0.07 | 0.56 ± 0.01 | 0.81 ± 0.03 | 0.004 |
| 298.15 | 3.72 ± 0.07 | 0.89 ± 0.01 | 0.91 ± 0.03 | 0.004 |
| 308.15 | 3.27 ± 0.22 | 1.14 ± 0.03 | 0.99 ± 0.10 | 0.01 |
| 318.15 | 2.84 ± 0.09 | 1.15 ± 0.01 | 1.02 ± 0.04 | 0.009 |
| [HMIM][SCN] | ||||
| 288.15 | 5.55 ± 0.13 | 1.35 ± 0.02 | 1.01 ± 0.06 | 0.046 |
| 298.15 | 5.13 ± 0.31 | 1.81 ± 0.04 | 1.15 ± 0.16 | 0.014 |
| 308.15 | 4.72 ± 0.13 | 1.93 ± 0.02 | 1.19 ± 0.06 | 0.006 |
| 318.15 | 4.43 ± 0.20 | 1.99 ± 0.03 | 1.22 ± 0.10 | 0.010 |
| [OMIM][SCN] | ||||
| 288.15 | 6.12 ± 0.14 | –2.83 ± 0.02 | 57.96 ± 0.09 | 0.008 |
| 298.15 | 5.83 ± 0.24 | –7.97 ± 0.04 | 81.41 ± 0.15 | 0.013 |
| 308.15 | 5.51 ± 0.22 | –10.83 ± 0.04 | 92.51 ± 0.14 | 0.013 |
| 318.15 | 5.02 ± 0.26 | –11.47 ± 0.04 | 94.37 ± 0.16 | 0.014 |
Standard uncertainties for temperature and pressure were u (T) = 0.02K and u (P) = 10 hPa, respectively, with a 0.68 level of confidence.
Table 7. Partial Molar Isentropic Compressibility κφ0, Empirical Parameters of eq 17, Sκ and Bκ, and Standard Deviation of Apparent Molar Isentropic Compressibility σ(κφ) of [RMIM][SCN] in (PC + LiX) at Different Concentrations of LiX at T = 298.15 K under Pressure (P = 0.086 MPa)a.
| mLiX (mol kg–1) | 1014 κφ0 (m3 mol–1 Pa–1) | 1014 Sκ (m3 mol–3/2 kg1/2 Pa–1) | 1014 Bκ (m3 mol–2 kg Pa–1) | 1014 σ (κφ0) |
|---|---|---|---|---|
| [BMIM][SCN] + PC + LiBr | ||||
| 0.0000 | 3.72 ± 0.07 | 0.89 ± 0.01 | 0.91 ± 0.03 | 0.004 |
| 0.0035 | 5.05 ± 0.15 | –3.44 ± 0.02 | –0.49 ± 0.06 | 0.009 |
| 0.0056 | 5.37 ± 0.22 | –3.09 ± 0.03 | –0.40 ± 0.09 | 0.011 |
| 0.0095 | 5.76 ± 0.39 | –3.03 ± 0.05 | –0.38 ± 0.16 | 0.023 |
| [BMIM][SCN] + PC + LiCl | ||||
| 0.0000 | 3.72 ± 0.07 | 0.89 ± 0.01 | 0.91 ± 0.04 | 0.004 |
| 0.0028 | 4.45 ± 0.05 | –1.11 ± 0.01 | 0.26 ± 0.02 | 0.006 |
| 0.0057 | 4.71 ± 0.06 | –1.11 ± 0.01 | 0.24 ± 0.02 | 0.005 |
| 0.0100 | 5.08 ± 0.08 | –0.85 ± 0.01 | 0.32 ± 0.03 | 0.005 |
| [HMIM][SCN] + PC+ LiBr | ||||
| 0.0000 | 5.13 ± 0.31 | 1.81 ± 0.04 | 1.15 ± 0.16 | 0.014 |
| 0.0036 | 6.80 ± 0.07 | –1.20 ± 0.01 | 0.16 ± 0.03 | 0.007 |
| 0.0064 | 7.10 ± 0.05 | –0.85 ± 0.01 | 0.29 ± 0.02 | 0.006 |
| 0.0099 | 7.42 ± 0.03 | –0.63 ± 0.00 | 0.35 ± 0.01 | 0.003 |
| [HMIM][SCN] + PC+ LiCl | ||||
| 0.0000 | 5.13 ± 0.31 | 1.81 ± 0.04 | 1.15 ± 0.16 | 0.014 |
| 0.0036 | 6.54 ± 0.09 | –0.76 ± 0.01 | 0.33 ± 0.04 | 0.007 |
| 0.0065 | 6.89 ± 0.06 | –0.87 ± 0.01 | 0.30 ± 0.02 | 0.008 |
| 0.0104 | 7.33 ± 0.06 | –0.90 ± 0.01 | 0.26 ± 0.03 | 0.008 |
| [OMIM][SCN] + PC+ LiBr | ||||
| 0.0000 | 5.83 ± 0.24 | –7.97 ± 0.04 | 81.41 ± 0.15 | 0.013 |
| 0.0038 | 8.59 ± 0.07 | –2.17 ± 0.01 | –0.03 ± 0.04 | 0.006 |
| 0.0060 | 8.75 ± 0.09 | –1.6 ± 0.01 | 0.14 ± 0.05 | 0.011 |
| 0.0092 | 9.05 ± 0.09 | –2.14 ± 0.01 | –0.03 ± 0.05 | 0.009 |
| [OMIM][SCN] + PC+ LiCl | ||||
| 0.0000 | 5.83 ± 0.24 | –7.97 ± 0.04 | 81.41 ± 0.15 | 0.013 |
| 0.0032 | 8.26 ± 0.11 | –1.27 ± 0.02 | 0.20 ± 0.05 | 0.007 |
| 0.0060 | 8.60 ± 0.04 | –1.66 ± 0.01 | 0.10 ± 0.02 | 0.006 |
| 0.0100 | 9.12 ± 0.10 | –2.16 ± 0.02 | –0.04 ± 0.05 | 0.008 |
Standard uncertainties for molality, temperature, and pressure were u (m) = 0.002 mol kg–1, u (T) = 0.02K, and u (P) = 10 hPa, respectively, with a 0.68 level of confidence.
The κφ0 values for the ILs in PC and in the presence of LiX salts are positive, which increase with increasing LiX content, and also, it is found that the value κφ in the presence of LiBr is higher than LiCl. This trend shows that bulk propylene carbonate is more compressible rather than electrostrictive PC molecules (solvated PC molecules); upon addition of LiX, electrostriction interactions between IL and PC become weaker due to PC molecules’ coordination on Li+, as previously mentioned. On the other hand, according to the SPT results, it is seen that interactional and cavity volumes are increased for a longer alkyl chain length of the ILs. The highly available cavity volume is the main reason for the high compressibility value of [OMIM][SCN] in the PC solution. The intermolecular interaction between the cation of the IL and PC is the dominant factor of this phenomenon but there is intramolecular negative ion interaction, which is another factor that is negligible in the dilute region.
Conclusions
This study is a thermodynamic approach to a model of Li-ion battery electrolytes. The volumetric and compressibility properties of the ILs, [RMIM][SCN], in PC in the presence of LiCl and LiBr have been investigated to understand the existing interactions in these systems. The ILs’ interaction with PC increased with the alkyl chain length of the imidazolium cation from butyl to octyl. However, these interactions were weakened at a higher temperature. The studied ILs, [RMIM][SCN], show structure-breaking behavior in propylene carbonate with the following trend: [OMIM][SCN] > [HMIM][SCN] > [BMIM][SCN]. Although ILs with larger cations are more compressible, this feature decreases with increasing temperature. The ion–polar interactions are dominant rather than other interactions in the ternary systems. Also, interactions between LiX and ILs increase with the lithium halide content, and LiBr has a stronger effect rather than LiCl. Although the addition of the lithium halide salts leads to an increase in the compressibility of the ILs, LiBr has a stronger effect rather than LiCl. To summarize, [OMIM][SCN] is an appropriate cosolvent for Li-ion battery electrolytes that can enhance the mechanical and thermal stability of the batteries.
Experimental Section
Chemicals
All of the reagents used in this work are listed in Table 8. Also, the purification methods, supplier company names, and CAS numbers are given. The water content of all components was determined with Karl-Fisher titration (Titrino GPD 751, electrode: Metrohm Pt—6.0338.100).
Table 8. Summary of the Chemicals and their Characteristics That Were Used in This Work.

Ionic Liquids [RMIM][SCN] and their Properties
The ionic liquid synthesis procedure is given in our previous publications with the corresponding density and speed of sound data at different temperatures.24,26 Also, brief information about the synthesized ionic liquids is given in Table 8.
Apparatus and Procedure
The solutions were prepared using an analytical balance (Shimadzu AW-220) with a precision of ± 1 × 10–4 g in a molal-based concentration. The density and speed of sound were measured with a digital densitometer (Anton Paar DSA5000). The instrument was calibrated with air pressure and distilled water. The frequency for the speed of sound measurement was 3 MHz.
Acknowledgments
The authors wish to thank the financial support from the Graduate Council of the University of Tabriz.
Supporting Information Available
The Supporting Information is available free of charge at https://pubs.acs.org/doi/10.1021/acsomega.1c03517.
HNMR spectra of [BMIM][SCN], FT-IR spectra of [BMIM][SCN], HNMR spectra of [HMIM][SCN], FT-IR spectra of [HMIM][SCN], HNMR spectra of [OMIM][SCN], and FT-IR spectra of [OMIM][SCN] (PDF)
The authors declare no competing financial interest.
Supplementary Material
References
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