against calculate t . Highly convex nature of

 
against  of Fig. 2 for
different wjk’s are made by utilizing fitting procedure upon the
experimental data. It is observed that in the lower concentration region graphs
are slightly deviated from linearity expecting accurate measurement of
experimental data. From Fig. 3 and 4, ratio of slopes of – wjk and – wjk curves are used respectively to
calculate t .  Highly convex nature of parabolic graphs of and  against wjk’s
are indicating maximum absorption of electric
energy contributing to highest polarization. The nonlinear behavior of’s with wjk in a binary mixture is an
indication of the occurrence of microscopic inhomogeneity in them. Due to
uniqueness of the method, all the graphs of Fig. 3 and 4 are based fitted
through the experimental data. From Fig. 5,t ‘s are also estimated using slope of  – linear
equation.  It is observed that in Fig. 5, straight lines
are not exactly linear with experimental data revealing the fact that ratio of
slope method eliminates polar-polar interaction compare to linear slope method
for the systems under observation. The estimated and  are compared
with the most probable  and
measured  t ‘s from ratio of slope and linear slope. ‘s of all systems agree well with t from ratio of slopes and Higasi’s method 9. This signifies double
relaxation phenomenon produces macroscopic as well as microscopic relaxation times
for all the systems showing their molecular non-rigidity under microwave field.
The influence of microscopic  
inhomogeneity arising from bonding of proton donor (amine) and proton
acceptor (acetonitrile) plays a significant role in predicting double relaxation
behavior. It is evident from TABLE I that relaxation time ? increases with
increasing acidity of proton donor (amine) in complex systems. But in nitriles
with N, N-dimethyl amine systems, the ? values are less than the other amine
complexes due to steric hindrance and inductive effect.  . ‘s agree with the measured and reported’s. This indicates the existence of symmetric (Cole –
Cole) distribution of relaxation behavior rather than asymmetric (Cole –
Davidson) distribution in liquid mixture. The values of symmetric distribution
parameter’s are very small in comparison to
the asymmetric distribution parameter’s as shown in TABLE II validating the symmetric
distribution of relaxation behavior in them.The addition of theoretical c1
& c2 and experimental c1
& c2 for all systems are 1 and greater than 1 respectively as
shown in TABLE II validating the existence of more than two Debye type
dispersions in liquid mixture.. The graphical plot reveals that the and curves of Fig.
6 are all parabola in nature exhibiting a minimum at a certain wjk’s
of solutes. Like curve,  curves are also
concave in nature with the increase of wjk which is consistent with
the earlier observation 6. This signifies the possible formation of
solute-solute (dimer) or solute-solvent (monomer) molecular association in the
higher concentration region.

 

 

Fig. 2. The variations of against for different wjk’s of amine and
acetonitrile mixture in benzene at 30°C under microwave
field. (I)¾¾  (II)¾·¾ (III)¾¾ for N-methyl aniline, aniline,
N, N-dimethyl aniline mixed with acetonitrile respectively.

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Fig. 3.  The variations of against wjk’s of amine and
acetonitrile mixture in benzene at 30°C under microwave field. (I)¾¾  (II)¾·¾ (III)¾¾ for N-methyl aniline, aniline, N, N-dimethyl aniline
mixed with acetonitrile respectively.

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