Characterization of Room-Temperature Ionic Liquids by the Abraham Model with
Cation-Specific and Anion-Specific Equation Coefficients
Laura Sprunger,
²
Michael Clark,
‡
William E. Acree Jr.,*
,²
and Michael H. Abraham
§
Department of Chemistry, University of North Texas, P.O. Box 305070, Denton, Texas 76203-5070,
Department of Research and Statistical Support, University of North Texas, P.O. Box 305398,
Denton, Texas 76203-5398, and Department of Chemistry, University College London, 20 Gordon Street,
London WC1H 0AJ, U.K.
Received January 31, 2007
Gas-to-RTIL (room-temperature ionic liquid) partition coefficients have been compiled for 592 different
solute-RTIL combinations. These partition coefficients were converted into water-to-RTIL partition
coefficients using the corresponding gas-to-water partition coefficients. Both sets of partition coefficients
were analyzed using the Abraham solvation parameter model with cation-specific and anion-specific equation
coefficients. The derived equations correlated the experimental gas-to-RTIL and water-to-RTIL partition
coefficient data to within 0.10 and 0.14 log units, respectively. The 8 sets of calculated cation-specific
equation coefficients and 4 sets of calculated anion-specific equation coefficients can be combined to yield
expressions capable of predicting the partition coefficients of solutes in 32 different RTILs.
INTRODUCTION
Room-temperature ionic liquids (RTILs) have become an
increasingly popular solvent choice in the past decade as a
reaction media for synthesis of potential new pharmaceutical
drug molecules, biomolecules, and polymers,
1-3
as reservoirs
for the controlled release of drug molecules in pharmaceutical
formulations,
4
and as an extraction solvent for the removal
of sulfur compounds
5
and organic contaminants from petro-
leum crude oils and soil samples,
6
respectively. Immiscibility
of ionic liquids with supercritical carbon dioxide, linear
hydrocarbons, and several acyclic organic solvents makes
RTILs ideally suited for synthetic preparations involving
biphasic catalysis.
7
Most (if not all) of these synthetic
methods have been performed in RTILs. Much higher
product yields and shorter reaction times were reported for
RTILs than for the more conventional organic solvents.
Currently synthetic procedures are known for making more
than 200 different RTILs.
8,9
Considerable time and effort is
devoted to developing ionic liquids having specific solvent
characteristics. From a theoretical standpoint it should be
possible to control and modify the physical properties
(viscosity, density, conductivity) and solubilibizing properties
(hydrophobicity, hydrophilicity, hydrogen-bonding character)
of RTILs by employing different cation-anion combinations.
Our understanding of RTILs has not reached the point where
this goal is realized.
Several recent papers have reported mathematical expres-
sions for correlating and estimating infinite dilution activity
coefficients and partition coefficients in select RTILs. Eike
et al.
10
proposed quantitative structure-property relationship
(QSAR) correlations for the published infinite dilution
activity of organic solutes in 4-methyl-N-butylpyridinium
tetrafluoroborate ([BMPy]
+
[BF
4
]
-
), 1-methyl-3-ethylimida-
zolium bis(trifluoromethylsulfonyl)imide ([MEIm]
+
[(Tf)
2
N]
-
),
and 1,2-dimethyl-3-ethylimidazolium bis(trifluoromethylsul-
fonyl)imide ([M
2
EIm]
+
[(Tf)
2
N]
-
) at 298 K that had squared
correlation coefficients ranging from R
2
) 0.952 to R
2
)
0.975. Ta ¨mm and Burke
11
later reanalyzed the experimental
data and reported three-parameter correlations based on
molecular descriptors obtained using CODESSA PRO soft-
ware. The authors’ three-parameter correlations described the
published experimental data to within standard errors from
SE ) 0.30 to SE ) 0.35 log units. Acree, Abraham, and
co-workers reported mathematical correlations based on the
general Abraham solvation parameter model for the gas-to-
solvent, K, and water-to-solvent partition coefficients, P, for
ten different anhydrous RTILs
12-14
and for two practical
water-to-RTIL partition systems.
15
The ten anhydrous water-
to-RTIL correlations describe “hypothetical” partitions, and
the partition coefficient is calculated as a molar solubility
ratio for the solute dissolved in both neat solvents. Practical
partitions, on the other hand, represent true equilibrium solute
partitioning between the water-saturated organic phase and
an aqueous phase that is saturated with the organic solvent.
Correlations derived from the Abraham model described the
experimental log K and log P data for 10 RTILs to within
average standard deviations of (0.086 log units and (0.129
log units, respectively. The quoted values represent the
average value of the standard deviations of the individual
log K and log P correlations of the 10 RTILs.
The drawback in using QSAR and linear free energy
relationship (LFER) models is that a separate equation must
be derived for each RTIL solvent studied. There is no transfer
of knowledge from one ionic liquid to the next. To address
this problem we have devised a method for separating the
five individual solvent coefficients in the Abraham model
into cation-specific and anion-specific values that would
* Corresponding author e-mail: acree@unt.edu.
²
Department of Chemistry, University of North Texas.
‡
Department of Research and Statistical Support, University of North
Texas.
§
University College London.
1123 J. Chem. Inf. Model. 2007, 47, 1123-1129
10.1021/ci7000428 CCC: $37.00 © 2007 American Chemical Society
Published on Web 04/26/2007