Journal of Molecular Liquids 154 (2010) 117–123
Contents lists available at ScienceDirect
Journal of Molecular Liquids
j o u r n a l h o m e p a g e : w w w. e l s ev i e r. c o m / l o c a t e / m o l l i q
Temperature dependent static dielectric constant and viscosity behaviour of
glycerol–amide binary mixtures: Characterization of dominant complex structures in
dielectric polarization and viscous flow processes
R.J. Sengwa ⁎, Vinita Khatri, Shobhna Choudhary, Sonu Sankhla
Dielectric Research Laboratory, Department of Physics, J.N.V. University, Jodhpur 342005, India
a r t i c l e
i n f o
Article history:
Received 27 March 2010
Accepted 19 April 2010
Available online 24 April 2010
Keywords:
Static dielectric constant
Molecular interactions
Glycerol
Amides
a b s t r a c t
The static dielectric constant and viscosity of the binary mixtures of glycerol (Gly) with N,Ndimethylformamide (DMF) and N,N-dimethylacetamide (DMA) were measured over the entire composition
range at temperatures 288.15, 303.15, 318.15 and 333.15 K. The concentration dependent non-linear
behaviour of the measured thermodynamical parameters revealed the formation of hydrogen bond
interactions between glycerol and amide molecules with a variety of complexes. The excess dielectric
constant and excess viscosity were determined and analyzed for the confirmation of the composition of
dominant complex species. Results inferred that the dielectric polarization in both the Gly–DMF and Gly–
DMA mixtures is governed by 1:1 complex species with enhanced dipolar ordering at all the investigated
temperatures. The complex species of 3Gly:DMF and 2Gly:DMA facilitates the viscous flow process in Gly–
DMF and Gly–DMA mixtures, respectively and the density of these species is strongly influenced by the
change in temperature. Arrhenius type behaviour of viscosity against the reciprocal of temperature was used
to determine the apparent activation energy of the viscous flow. The electric-field-induced increment of the
Helmholtz free energy and the entropy were determined from the temperature dependence of the static
dielectric constant and its derivative of the binary mixtures. Results were discussed to assess the volume
effect of DMF and DMA molecules on hydrogen bonding interactions with glycerol molecules in order to
confirm the structural conformations of these mixed solvents.
© 2010 Elsevier B.V. All rights reserved.
1. Introduction
The knowledge of precise values of dielectric constant (relative
permittivity) and viscosity as a function of temperature and
concentration of the mixed solvents is the general goal of soft
materials science, which has attracted considerable attention in last
few decades [1–17]. In fact the study of precise values of thermophysical properties such as dielectric constant, viscosity, density,
refractive index etc. represent a powerful way for the characterization
of molecular interactions, which is complementary to advance infrared and nuclear magnetic resonance techniques. These values provide
the confirmation of association phenomena between unlike molecules
especially through hydrogen bond (H-bond) interactions and dipole
ordering in the liquid mixtures of dipolar solvents [1–27]. The
characterization of dielectric constant of mixed solvents is needed
for the design of a suitable solvent of required solvating power in view
of their pharmaceutical, chemical, analytical and materials science
applications, and also in pulse power design technology.
⁎ Corresponding author. Tel.: + 91 291 2720857; fax: + 91 291 2649465.
E-mail address: rjsengwa@rediffmail.com (R.J. Sengwa).
0167-7322/$ – see front matter © 2010 Elsevier B.V. All rights reserved.
doi:10.1016/j.molliq.2010.04.014
Liquid mixtures containing the amide functional group constitute
an important technique in the structural interpretation of complex
materials of biological and pharmaceutical interest. Earlier [18–24],
we have extensively investigated the dielectric properties of amides
mixed with various polar solvents at fixed temperature for understanding the H-bonding molecular interactions between the amides
and the solvents. In continuation of our ongoing research work on
amides–cosolvents mixtures, in this manuscript, we have undertaken
the temperature dependent dielectric constant and viscosity behaviour of glycerol (Gly) mixed with N,N-dimethylformamide (DMF) and
N,N-dimethylacetamide (DMA) over the entire mixing concentration
range. This study aims to explore the dominant Gly–DMF and Gly–
DMA complex species that contributed in molecular dielectric
polarization and viscous flow processes. The temperature effect on
the density of these complex species was examined using their excess
dielectric constant and excess viscosity properties. The study of these
binary mixtures is interesting because the polar protic Gly and aprotic
DMF and DMA have a wide liquid range, high dielectric constant, and a
huge difference in their viscosity values. Survey of literature exhibits
that so far temperature dependent excess dielectric and viscosity
properties of the mixed solvents of broad viscosity difference mixture
constituents are not attempted. Numerous studies on mixed solvents
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R.J. Sengwa et al. / Journal of Molecular Liquids 154 (2010) 117–123
of nearly equal viscosity components concluded that the maximum
deviation in excess dielectric constant and viscosity properties occurs
at same molar ratio, which is corresponding to the stoichiometric ratio
of a stable adduct [1–4,9,13,25–27], but so far this fact is not examined
for the mixed solvents of large viscosity difference constituents.
2. Experimental
2.1. Materials
Grade reagents glycerol (Gly), N,N-dimethylformamide (DMF)
and N,N-dimethylacetamide (DMA) were purchased from Himedia
Laboratories and Loba Chemie of India. Binary mixtures of Gly with
DMF and DMA were prepared at eleven volume concentrations over
the entire mixing range at room temperature and simultaneously by
weight measurements, the mole fractions of the mixture constituents
were determined.
2.2. Measurements
Values of the static dielectric constant ε0 of Gly, DMF and DMA and
ε0m of the Gly–DMF and Gly–DMA binary mixtures were determined
by using ‘capacitive measurement method’ at 1 MHz. Agilent 4284A
precision LCR meter and a four terminal cell Agilent 16452A Liquid
Dielectric Test Fixture were used for the measurement of capacitance
of the cell without and with sample. The viscosity of the binary
mixtures was measured using Fungilab alpha series rotational
viscometer with a small sample holder. Viscosity of lower viscosity
samples was made using Ostwald viscometer. The evaluated values of
ε0m and η at Gly mole fractions, XGly of the Gly–DMF and Gly–DMA
mixtures at different temperatures are tabulated in Table 1, and also
plotted in Figs. 1 and 2, respectively. The measurement accuracy of the
static dielectric constant values is ±0.3%, which is estimated by the
calibration of the cell with the standard liquids by using their
literature values of dielectric constant. All measurements were made
at temperatures 285.15, 303.15, 318.15 and 333.15 K and the
Table 1
Values of static dielectric constant ε0m and viscosity η (mPa s) of Gly–DMF and Gly–
DMA binary mixtures at different temperatures, and activation energy ∆H⁎η (kJ/mol) at
various mole fractions of Gly, XGly.
XGly
ε0m
η
288.15 K
ε0m
η
ε0m
η
ε0m
η
∆H⁎η
303.15 K
318.15 K
333.15 K
Gly–DMF binary mixtures
0.000 39.14
0.92
0.105 41.19
1.83
0.209 43.18
3.02
0.312 44.70
5.83
0.414 45.89
12.5
0.514 46.51
28.4
0.613 46.72
42.2
0.712 46.61
173.0
0.809 45.88
390.3
0.905 45.51
903.7
1.000 44.38 1966.7
36.55
39.08
41.14
42.25
43.39
43.74
43.81
43.80
43.34
42.69
41.17
0.77
1.50
2.41
4.22
7.36
14.2
19.9
64.6
127.5
258.7
520.6
34.73
36.75
38.75
39.56
40.42
40.91
41.03
40.87
40.55
39.69
38.99
0.64
1.24
1.84
2.91
4.77
8.35
10.7
27.3
50.5
91.1
182.5
32.98
34.05
36.20
36.86
37.87
38.15
38.41
38.30
37.80
37.07
36.48
0.56
1.01
1.49
2.23
3.51
5.48
6.79
14.5
23.7
40.5
72.8
8.9
10.5
12.7
17.3
22.6
29.2
32.5
44.2
49.7
55.2
58.3
Gly–DMA binary mixtures
0.000 40.59
1.07
0.124 41.60
2.78
0.241 42.77
5.00
0.353 43.85
10.5
0.459 44.40
25.2
0.560 44.83
62.9
0.656 45.12
151.7
0.748 45.24
316.4
0.836 45.25
648.1
0.920 44.72 1131.9
1.000 44.38 1966.7
37.72
38.92
39.92
41.01
41.57
41.96
42.05
42.15
42.11
41.62
41.17
0.86
2.21
3.92
7.04
12.8
29.9
61.6
120.7
204.4
335.7
520.6
35.39
36.46
37.46
38.56
39.15
39.59
39.74
39.8
39.86
39.27
38.99
0.71
1.78
3.01
4.79
7.81
17.6
26.3
43.2
75.9
117.4
182.5
32.68
33.94
35.04
36.08
36.81
37.12
37.32
37.34
37.21
36.73
36.48
0.62
1.48
2.31
3.62
5.39
9.41
13.9
20.4
33.3
48.9
72.8
9.7
11.2
13.7
19.1
27.3
33.1
42.7
49.2
52.7
55.8
58.3
Fig. 1. Plots of ε0m against mole fraction of Gly, XGly for (a) Gly–DMF and (b) Gly–DMA
binary mixtures at temperatures 288.15 K (□); 303.15 K (○); 318.15 K (Δ) and
333.18 K (∇). In a and b, lines are smooth joining through the data points.
temperature was controlled thermostatically within ±0.01 K using
Thermo-Haake DC10 controller.
3. Data analysis
The excess static dielectric constant εE for the binary mixtures is
evaluated by the mole-fraction mixture law
E
ε = ε0m −ðε01 X1 + ε02 X2 Þ
ð1Þ
where X is the mole fraction and subscripts m, 1 and 2 represent the
binary mixture and components 1 and 2 of the binary mixture,
respectively. The evaluated εE values of the Gly–DMF and Gly–DMA
binary mixtures were plotted against XGly in Fig. 3.
The excess viscosity ηE for the binary mixture is evaluated by the
mole-fraction mixture equation
E
η = η−ðη1 X1 + η2 X2 Þ
ð2Þ
where η is the experimental value of the viscosity of the binary
mixture, X is the mole fraction and subscripts 1 and 2 represent the
components 1 and 2 of the binary mixture, respectively. The evaluated
ηE values of the Gly–DMF and Gly–DMA binary mixtures were plotted
against, XGly in Fig. 4.
4. Results and discussion
The thermodynamical parameters of an ideal liquid mixture of
non-interacting dipolar molecules obey the linear behaviour with the
R.J. Sengwa et al. / Journal of Molecular Liquids 154 (2010) 117–123
119
Fig. 2. Plots of η against mole fraction of Gly, XGly for (a) Gly–DMF and (b) Gly–DMA
binary mixtures at temperatures 288.15 K (□); 303.15 K (○); 318.15 K (Δ) and
333.18 K (∇). In a and b, lines are smooth joining through the data points.
Fig. 3. Plots of εE against mole fraction of Gly, XGly for (a) Gly–DMF and (b) Gly–DMA
binary mixtures at temperatures 288.15 K (□); 303.15 K (○); 318.15 K (Δ) and
333.18 K (∇). In a and b, lines are non-linear fits.
concentration of the mixture constituents. Figs. 1 and 2 show that the
concentration dependent ε0m and log η values of Gly–DMF and Gly–
DMA mixtures have significant deviation from ideal behaviour at all
the investigated temperatures. The non-linear behaviour of these
parameters confirms the H-bond complex formation over the entire
mixing concentration range in the glycerol–amide mixtures. Figs. 1
and 2 indicate that the ε0m values are higher, whereas η values are
lower than the ideal mixing behaviour. The measured ε0m values
reflect the collective molecular contribution to the dielectric polarization at a given number of dipolar molecules per unit volume in a
binary mixture. The enhancement in ε0m values reveals that the
dipolar interaction between glycerol and amide molecules increases
the net dielectric polarization of the mixture. But the decreases of η
values confirm that the aggregated molecules mobility for viscous
flow process increases in these binary mixtures.
The excess dielectric constant εE and excess viscosity ηE values of
the binary mixtures of polar solvents are frequently used to confirm
the strength of hetero-molecular H-bonded structures and the
stoichiometric composition corresponding to the formation of a
stable complex adduct [1–30]. Fig. 3 shows the XGly concentration
dependent εE values of the Gly–DMF and Gly–DMA binary mixtures.
The moderate εE values at different temperatures may be due to
nearly equal ε0 values of pure Gly and DMF/DMA. The large magnitude
of ηE of the glycerol–amide mixtures (Fig. 4) is mainly due to a large
difference in the viscosities of pure Gly and DMF/DMA. It is found that
at all the investigated temperatures, the εE values of both the Gly–
DMF and Gly–DMA mixtures have maximum deviation around
XGly ∼ 0.5, whereas ηE values of Gly–DMF mixture and Gly–DMA
mixture show the maximum deviation in the range XGly ∼ 0.73–0.75
and XGly ∼ 0.67–0.69, respectively (Table 2). These XGly concentrations
are corresponding to the molar ratio of a stable complex adduct in the
binary mixtures, which reveals that the molecular dielectric polarization process and the viscous flow process have different dominant
complex species.
4.1. Stable complex adduct in dielectric polarization process
In liquid mixtures of polar solvents, there is a formation of a variety
of weak and strong H-bonded dipolar complex species of varying
molar ratio and density (number of complexes in a unit volume),
which are influenced by the concentration of the mixture constituents
[15,31–36]. Some complex species are comparatively stable and
contributes largely in the molecular polarization process of the binary
mixtures. The density of such stable complex species also plays a
governing role in the stabilization of the dielectric constant of
the dipolar liquid mixture. The molar concentration XGly ∼ 0.5
corresponding to maximum εE values (Table 2) suggest the stable
complex species of molar ratio 1:1 of Gly to DMF/DMA, which governs
the molecular dipolar polarization of these binary mixtures. Further, it
is observed that the maximum magnitude of εE values is almost
temperature independent, which inferred that the density of 1:1
stable complex dipolar species remain same over the investigated
temperature range. The positive εE values inferred that the H-bond
hetero-molecular interaction between Gly and DMF/DMA increases
the effective number of parallel aligned dipoles in the mixtures.
Dielectric relaxation and Kirkwood correlation studies established
that Gly is one of the most structured glass forming liquid because the
molecular multimerization form the strong H-bonded three-dimensional molecular network [34–36]. The ends hydroxyl groups
(primary alcohols groups) of Gly molecules contributed in the
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R.J. Sengwa et al. / Journal of Molecular Liquids 154 (2010) 117–123
εEmax of Gly–DMF mixtures are nearly two times higher than that of
Gly–DMA mixtures (Table 2), suggesting that either DMF form
comparatively strong H-bond dipolar interactions with Gly molecules
or the density of 1:1 complexes of Gly–DMF are higher than that of
Gly–DMA. This behaviour may be due to the difference in molecular
volume of DMF and DMA. The volume ratio of DMF to DMA is 0.83
[38]. We assume that the DMF and DMA molecules built-in via Hbonding into the 3D-structures of glycerol molecules, but due to
comparatively smaller molecular size of DMF there is a higher
probability of the large number of DMF molecules to built-in into
Gly structures, resulting in the enhancement in Gly–DMF complex
density as compared to that of Gly–DMA complexes and hence the εE
values of Gly–DMF mixtures are found higher than that of Gly–DMA
mixtures. Further, the presence of third methyl group in DMA
molecules make them more polar than DMF as evidenced from
slightly higher ε0 value of DMF. This results in the DMA selfassociation [38] and hinders the number of DMA molecules built-in
into Gly structures and hence it seems that the Gly–DMA mixture
have less number of 1:1 complexes as compared to that of Gly–DMF
complexes.
4.2. Stable complex adduct in viscous flow process
Fig. 4. Plots of ηE against mole fraction of Gly, XGly for (a) Gly–DMF and (b) Gly–DMA
binary mixtures at temperatures 288.15 K (□); 303.15 K (○); 318.15 K (Δ) and
333.18 K (∇). In a and b, lines are non-linear fits.
formation of strong H-bonded two-dimensional (2D) structure, which
results in three-dimensional (3D) structure when secondary alcohol
groups of Gly molecules form the cross-linkage H-bonding [34]. The
DMF molecules in pure liquid state have no self-association, whereas
DMA molecules in their pure liquid state form some H-bonded linear
chain structures [18–24,31,37,38]. The positive εE values of Gly–DMF
and Gly–DMA mixtures inferred that the interactions of DMF/DMA
molecules with Gly act as structure breaker for some of the H-bonded
cross-linked Gly dipoles and simultaneously oriented them in planar
structure with parallel alignment, which results the enhancement in
net dielectric polarization.
The symmetrical shape of concentration dependent εE values of
Gly–DMF and Gly–DMA mixtures (Fig. 3) indicates that the dominant
mode of 1:1 complex species is unaffected by addition of a small
amount of DMA into Gly or vice-versa. The maximum values of εE i.e.,
Table 2
Values of XGly corresponding to maximum magnitude of excess dielectric constant εEmax and
viscosity ηEmax (mPa s) of Gly–amides binary mixtures at different temperatures.
Temperature (K)
XGly
εE(max)
XGly
−ηE(max)
Gly–DMF binary mixture
288.15
303.15
318.15
333.15
0.50
0.47
0.48
0.50
4.44
4.79
4.03
3.77
0.75
0.73
0.74
0.73
1247.03
318.08
120.89
44.39
Gly–DMA binary mixture
288.15
303.15
318.15
333.15
0.54
0.55
0.55
0.52
2.18
2.32
2.20
2.38
0.68
0.67
0.68
0.69
1156.31
282.18
95.67
34.15
The molar concentration corresponding to maximum magnitude
of excess viscosity ηEmax for glycerol–amide mixtures (Table 2) suggest
the complex entities probably 3Gly:DMF and 2Gly:DMA being the
unique flow species for a cooperative hetero-molecular viscous
process. The negative ηE values suggest that the flow process is
facilitated by the hetero-molecular interactions in these systems. A
large change in the magnitude of negative ηE values with the
temperature variation inferred that the number of the viscous flow
complex species significantly influences by the temperature. This is
probably due to intermolecular vibrations and thermal motion that
may weaken the hydrogen bond connectivity of these complex
species and facilitates their translational and rotational molecular
motion in viscous flow.
The asymmetrical shape of the concentration dependent ηE (Fig. 4)
curves indicate that the addition of a small amount of DMF/DMA to
Gly involves a more important effect on the breaking of Gly structures
and simultaneously formation of a large number of 3Gly:DMF and
2Gly:DMA complex species, which favours the viscous flow process.
Similar shape of the concentration dependent ηE values was also
observed for the binary mixtures of glycerol with monohydric
alcohols [39]. Comparative excess dielectric constant and viscosity
results evidence that in viscous flow the translational molecular
motion governs their stable complex entity and masked the
contribution of rotational dipolar complex adduct. Further, it is
found that the magnitude of negative ηE values of Gly–DMF is higher
than that of Gly–DMA, which suggests that the volume effect of DMF
and DMA molecules also influences the number of dominant complex
species in viscous flow process.
4.3. Arrhenius behaviour
The log η values of Gly–DMF and Gly–DMA mixtures are plotted
against reciprocal of the absolute temperature (1/T) in Fig. 5, which
demonstrates the Arrhenius type behaviour (i.e., log η are the linear
function of 1/T) at all the compositions of the mixed solvents. The
apparent activation energy or a heat of activation ∆Hη⁎ for a viscous
flow is represented by the Arrhenius relation for rate coefficients [40]
h
i
η = A exp ΔΗη = RT
ð3Þ
where A is pre-exponential factor which is independent of temperature T and R is a gas constant. The values of ∆Hη⁎ were determined
R.J. Sengwa et al. / Journal of Molecular Liquids 154 (2010) 117–123
121
The evaluated ∆Hη⁎ values for glycerol–amides are plotted against,
XGly in Fig. 6 and also recorded in Table 1. The evaluated ∆Hη⁎ of pure
glycerol is found in good agreement with the literature value [39–41].
It is observed that the ∆Hη⁎ values of Gly–DMF and Gly–DMA increases
non-linearly with increase of XGly concentration (Fig. 6) and shows a
significant difference for these mixtures around the molar ratio of a
stable adduct for viscous flow. Further, ∆Hη⁎ values of Gly–DMA were
found higher than that of the Gly–DMF mixtures over the XGly range
from ∼0.4 to 0.85, which is attributed to the molecular volume effect
of DMF and DMA. Fig. 7, shows the Arrhenius behaviour of the
maximum values of ηE i.e., ηEmax of the glycerol–amide binary
mixtures. It is found that for these binary mixtures ηEmax plots against
1/T obey the straight line behaviour.
The temperature dependence of dielectric constant ε0m(T) and its
derivative (∂ε0m/∂T) reflects a behaviour of the electric-field-induced
increment of the basic thermodynamic quantities ΔU, ΔS, ΔF of the
sample at a given number of dipole molecules per unit volume [42–44].
For the dielectric material under the applied field strength E, the
increments of the internal energy ΔU, the entropy ΔS, and the Helmholtz
free energy ΔF are given by the equations [42–44]
Fig. 5. Arrhenius plots of log η against reciprocal of temperature for (a) Gly–DMF binary
mixtures at mole fractions of Gly, XGly = 0.000 (□); 0.105 (○); 0.209 (Δ); 0.311 (∇);
0.414 (◊); 0.514 (■); 0.613 (●); 0.712 (▲); 0.809 (▼); 0.905 (♦); and 1.000 ( ) and
(b) Gly–DMA binary mixtures at mole fractions of Gly, XGly = 0.000 (□); 0.124 (○);
0.241 (Δ); 0.353 (∇); 0.459 (◊); 0.560 (■); 0.656 (●); 0.748 (▲); 0.836 (▼); 0.920 (♦);
and 1.000 ( ). The lines are linear fits of the data points.
from the slope of Arrhenius plots (log η against 1/T) of the glycerol–
amide mixtures (Fig. 5) by the relation [40]
ΔHη = 2:303 R ½d logη = dð1 = T Þ
ð4Þ
Fig. 6. Plot of ∆H⁎η against mole fraction of Gly, XGly for Gly–DMF (□) and Gly–DMA (○)
binary mixtures. Lines are non-linear fits of the data points.
ΔU U ðT; EÞ−U0 ðT Þ
ε
∂ε
≅
= 0 ε0m + T 0m
2
2
2
∂T
E
E
ð5Þ
ΔS SðT; EÞ−S0 ðT Þ
ε ∂ε0m
≅
= 0
2
2
2
∂T
E
E
ð6Þ
ΔF F ðT; EÞ−F0 ðT Þ
ε
≅
= 0 ε0m
2
E2
E2
ð7Þ
where U0, S0 and F0 denote the values of the thermodynamic
quantities in the absence of electric field E, T is the absolute
temperature and ε0 = 8.85 pF/m is the permittivity of free space or
vacuum.
In Eq. (5), the term 0.5ε0T ∂ε0m/∂T is a measure of the dielectric
internal energy, which is converted into heat during the isothermal
charging of the capacitor filled with a dielectric material (binary
mixture) of the static dielectric constant ε0m, whereas 0.5ε0ε0m
represent the dielectric energy stored in the capacitor. Therefore the
difference ΔF = F(T,E) − F0(T) is a maximum of the energy, which can
be yielded during the isothermal discharge of the capacitor filled with
the dielectric material [43,44], which is that of the static permittivity
itself as illustrated in Fig. 8 for the glycerol–amide mixtures. The ΔF
per unit volume and unit field strength exhibits a decrease with
increase of temperature for the studied glycerol–amide mixtures
(Fig. 8). Fig. 9 illustrate the ΔS = S(T,E) − S0(T) which is directly
Fig. 7. Plots of −ηEmax against reciprocal of temperature for Gly–DMF (□) and Gly–DMA
(○) binary mixtures. The lines are linear fits of the data points.
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R.J. Sengwa et al. / Journal of Molecular Liquids 154 (2010) 117–123
related with the sign of the temperature derivative of the dielectric
constant. The negative values of ΔS (per unit volume and per unit field
strength per kelvin) (Fig. 9) confirm that, under the influence of
electric field, the entropy of glycerol–amide mixtures decreases, that
confirms the increase in molecular order of the system, which is
normal behaviour of the dipolar liquids [40]. Further, Fig. 9 shows that
a large change in the entropy values for Gly–DMF mixtures with the
concentration variation of XGly, whereas in Gly–DMA binary mixtures
the entropy values are almost independent of the mixture constituent
concentration.
5. Conclusions
Fig. 8. Temperature dependent plots of static dielectric constant ε0m and the Helmholtz
free energy ΔF/E2 for (a) Gly–DMF binary mixtures at mole fractions of Gly, XGly 0.000
(□); 0.105 (○); 0.209 (Δ); 0.311 (∇); 0.414 (◊); 0.514 (■); 0.613 (●); 0.712 (▲); 0.809
(▼); 0.905 (♦); and 1.000 ( ) and (b) Gly–DMA binary mixtures at mole fractions of
Gly, XGly 0.000 (□); 0.124 (○); 0.241 (Δ); 0.353 (∇); 0.459 (◊); 0.560 (■); 0.656 (●);
0.748 (▲); 0.836 (▼); 0.920 (♦); and 1.000 ( ). The lines are linear fits of the data
points.
The static dielectric constant and viscosity of the Gly–DMF and
Gly–DMA binary mixtures at 288.15, 303.15, 318.15 and 333.15 K,
have been measured over the whole composition range. The nonlinear behaviour of these parameters with one of the contituent
concentration confirms the formation of hetero-molecular H-bond
interaction in the binary system. The 1:1 complex species of Gly to
DMF/DMA governs the dielectric polarization process and their
behaviour is almost temperature independent. The comparative
magnitude of excess dielectric constant values inferred that the
density of 1:1 complex species in Gly–DMF mixtures are twice that of
Gly–DMA mixtures, which is governed by their molecular volume
effect. The 3Gly:DMF and the 2Gly:DMA complex species govern the
viscous flow process of Gly–DMF and Gly–DMA binary mixtures,
respectively, and their density is significantly influenced by the
temperature variation. Results suggest that the Gly–DMF and Gly–
DMA mixed solvents have moderate H-bond interaction strength of
the complex species which contributed in molecular polarization
process. The dielectric constant and viscosity behaviour of glycerol–
amide mixtures obey the Arrhenius type behaviour over the
investigated temperature range. The heat of activation increases
non-linearly with increase of glycerol concentration in these
mixtures. The electric-field-induced negative entropy confirms the
increase in molecular order of these binary mixtures with increase in
temperature.
Acknowledgements
The authors gratefully appreciate the financial support provided by
the UGC, New Delhi, for a project grant (F. No. 33−15/2007 (SR))
under which the work was carried out. The DST New Delhi, is kindly
acknowledged for providing experimental facilities through the
research project (no. SR/S2/CMP−09/2002). One of the authors (SC)
is grateful to the UGC for the award of RFSMS Fellowship and (SS) is
grateful to CSIR, New Delhi for providing research associate
fellowship.
References
Fig. 9. Plots of static dielectric constant temperature derivative dε0m/dT and the entropy
ΔS/E2 against mole fractions of Gly, XGly for Gly–DMF (□) and Gly–DMA (○) binary
mixtures.
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