A. Pal, A. Yadav / Journal of Molecular Liquids 222 (2016) 471–479
475
Table 4
where C20 has its usual meaning. The greater value of pC20 depicts the
larger adsorption efficiency and better will be the surface activity of
the SAIL. The values of pC20 can only be achieved for pure water, 0.5%
and 1% of the drug for both ionic liquids as the surface tension could
not be reduced to C20 for the remaining mixtures. A perusal of the
data of pC20 reveals the better surface activity of [C14mim][Cl] as com-
pared to [C12mim][Cl].
Degree of counterion dissociation, α and thermodynamic parameters: standard free ener-
gy of aggregation (ΔG°agg.), standard enthalpy of aggregation (ΔH°agg.), standard entropy of
aggregation (ΔS°agg.), standard Gibbs free energy of adsorption (ΔG°ad.) and free energy of
the surface at equilibrium (Gms in.) of SAILs [C12mim][Cl] and [C14mim][Cl] at 298.15 K.
Solvent
Thermodynamic parameters
α
ΔG0agg.
ΔH0agg.
TΔS0agg.
ΔG0ad
Gsmin.
The packing parameter (p) has been evaluated by using the follow-
ing relation which helps in determining the shapes of the aggregates
[35]:
[C12mim][Cl]
0%
0.5%
1%
2.5%
5%
0.35
0.34
0.33
0.32
0.30
−33.14
−34.54
−37.41
−39.16
−42.64
−8.53
−7.15
−5.91
−5.00
−4.32
24.60
27.39
31.51
34.16
38.32
−50.46
−48.37
−50.92
−57.04
−62.80
16.01
20.16
21.68
32.43
36.56
P ¼ Vo=lcAmin:
ð5Þ
[C14mim][Cl]
0%
0.5%
1%
where Vo represents the volume occupied by the long alkyl chain groups
and lc gives the length of the long alkyl chain present in the mid of the
aggregate were determined using Tanford's formulae [37]:
0.36
0.35
0.34
0.33
0.32
−39.26
−43.26
−46.95
−48.55
−49.83
−14.84
−8.17
−7.87
−7.14
−4.37
24.42
35.09
39.08
41.41
45.46
−55.55
−57.32
−60.77
−62.87
−65.69
15.18
18.24
23.89
26.75
33.91
2.5%
5%
ꢂ
ꢃ
Vo ¼ ½27:4 þ 26:9 ðnc−1Þꢀ2 Å3
ð6Þ
ð7Þ
Standard uncertainties are ΔGa°gg.
=
=
0.02 (kJ mol−1), ΔHa°gg.
0.02 (kJ mol−1), Gms in.
=
=
0.01 (kJ mol−1),
0.02 (kJ mol−1), T
ΔS°agg.
=
0.02 (JK−1 mol−1), ΔGa°d.
ꢄ ꢅ
lc ¼ ½1:54 þ 1:26 ðnc−1Þꢀ
Å
=
1 × 10−2 K.
Generally, in both the above formulae the number of carbon atoms
taken is one less than the total number of carbon atoms in the hydrocar-
bon chain (nc) which is due to the reason that the first carbon atom at-
tached to the long alkyl chain is more solvated and is considered a
portion of it. Keeping concentration about 10 times of the CAC, the ob-
tained values of p for pure ILs is higher than 0.33, which indicates the
formation of vesicles. From Table 3, it can be observed that with the in-
crease in the concentration of drug, the shape of the aggregates changes
from vesicles to cylindrical to spherical [38]. This is due to the reason
that the drug molecules are residing primarily in the outer surface of ag-
gregates which consequently increases the Amin. Therefore, the value of
p decreases and the structure of the aggregates transforms accordingly.
By making use of surface active parameters, free energy of a surface
at equilibrium (Gmins) and standard Gibbs free energy change required
for adsorption (ΔG°ad.) were also evaluated in order to investigate the ef-
fect of addition of drug on the aggregation behavior of SAILs using fol-
lowing relations [36,39]:
weight percentages are provided in Table 2. The variation profiles
of conductance of [C12mim][Cl] in aqueous and aqueous solution of
lidocaine hydrochloride at different weight percentages at 298.15 K
are given in Fig. 2 (a), (b) and (c) and for [C14mim][Cl] the conductance
profiles are provided in Fig. 3 (a), (b) and (c). Fig. 4 (a) and (b) repre-
sent, the variation in CAC of SAILs with temperature as a function of dif-
ferent weight percentages of lidocaine hydrochloride. The CAC value of
both the SAILs in aqueous media obtained from conductivity measure-
ments agreed well with those reported by Sharma et al. [30]. From the
conductivity profiles, it can be seen that the electrical conductivity in-
creases with the increase in the concentration of ionic liquids. This var-
iation in the curve implies the onset of aggregation point and the
breakpoint indicates the CAC value. From Table 2 it can be observed
that the CAC of [C14mim][Cl] is lower than [C12mim][Cl] which is
due to the presence of long alkyl chain in [C14mim][Cl] as compared
to [C12mim][Cl] and therefore has better surface activity than
[C12mim][Cl].
A close look at Table 2 reveals that for a particular SAIL, the CAC
decreases with the increase in the concentration of lidocaine hydro-
chloride. This may be due to the fact that lidocaine hydrochloride
molecules being slightly polar in nature forms hydrogen bonding
with water which counter balances the lateral pressure that tend to
push the drug molecules into the core of the aggregates and also
with the protons present in the imidazolium ring of the SAILs as a re-
sult of which the drug molecules get adsorbed on the surface of the
aggregates [42]. This kind of adsorption of the drug molecules on
the surface of the aggregates decreases the electrostatic repulsions
among the head groups of the aggregates thereby decreasing the
work required for the aggregation. The aggregation process depends
on the two opposite interactions. First, the electrostatic forces of re-
pulsions between the charged head groups, which delay the aggre-
gation process and second, the attractive hydrophobic interactions
between the long alkyl chain of SAILs, which favors the aggregation
process. Here the electrostatic repulsions are being reduced by the
adsorption of the drug molecules on the surface of the aggregates
and hence the cac decreases.
ΔGꢁad: ¼ ΔGꢁagg:
−
ð8Þ
ð9Þ
Πcmc
Γ max
Gsmin ¼ Amin ꢂ Πcac ꢂ NA
where ΔG°agg. is standard Gibbs free energy of aggregation achieved
from conductivity measurements using Eq. (10). A perusal of the data
from Table 4 reveals that the values of ΔG°ad. are more negative than
their corresponding ΔG°agg. indicating the primary process which is tak-
ing place is the adsorption process as compared to aggregation. From
the table it is very clear that ΔG°ad. has negative values, which shows
that some work has to be done in transferring the SAIL monomers at
the interface to the aggregation stage [40]. Gsmin. represents the free en-
ergy of a surface at equilibrium, a thermodynamic quantity which is in-
troduced by Sugihara et al. [41]. Its lower values indicate the formation
of highly thermodynamically stable surface as a result of which it has
attained greater surface activity. From Table 4, it can be seen that the
values of Gsmin. are increasing with the increase in the concentration of
drug molecules, so it can be concluded that on increasing the concentra-
tion of drug the bulk phase is becoming more stable than the surface
phase [41].
3.2. Conductance measurements
3.2.2. Effect of temperature on CAC
The variation of the CAC with temperature are shown in Fig. 4 (a)
and (b). The curves obtained to be a U-shaped curve. This behavior of
the curve can be explained by considering two opposite factors. Firstly
with increasing temperature, the degree of hydration of head group
3.2.1. Determination of CAC
The CAC values of SAILs obtained from conductance at 298.15 K in
aqueous and aqueous solutions of lidocaine hydrochloride at different