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6.5 ELECTROCHEMICAL PROPERTIES                                               FUNDAMENTALS
                                                                 the mixture of several materials as described above.
                                                                 With this in mind, it was difficult to accurately sepa-
                                                                 rate information concerning the properties of the active
                                                                 material from that concerning the total electrode. Dokko
                                                                 et. al have developed a technique to measure the cyclic
                                                                 voltammogram of a single particle and subsequently,
                                                                 the electrochemical properties of a single particle have
                                                                 come to be measured and discussed [8]. The cantilever
                                                                 of the scanning probe microscope comes into contact
                                                                 with the particle and functions as the working electrode.
                                                                 Sharp peaks were observed in the case of the voltam-
                                                                 mogram for a single particle rather than that for the
                                                                 whole electrode, making it possible to evaluate the elec-
                                                                 trochemical properties of the active material very accu-
                                                                 rately.  This fact must promote research into active
                                                                 materials having a nanostructure.
                                                                   6.5.1.3 AC impedance method
                  Figure 6.5.6
                  Log I vs. log C plots of polyaniline prepared in various  Detailed investigation of the internal resistance in
                  organic solvents ( , propylene carbonate,  ,   the electrode can be carried out using the AC imped-
                  
 -butylolactone,  , acetonitrile,  , acidic aqueous  ance method. Using a three electrode cell, the elec-
                         x
                  solution, i   t   const. t is the discharge time).  trode potential of the working electrode is perturbed
                                                                 by several mV from around a certain electrode
                                                                 potential in sine waves and the response of the current
                  time respectively. The value t can be substituted by the  is monitored. Alternatively, the current is perturbed
                  amount of electricity C with the relation of C   i   t,  and the response of the electrode potential is
                  where i means the current density. The differentiation of  recorded, as in the case of the fuel cell. The phase dif-
                  the discharge curve (E vs. C plots) by time gives dE/dt  ference and the ratio  of the voltage and current
                  vs. i, where dC/dt   i. dE/dt has the dimension of Vs  1  (namely the resistivity) are obtained for each fre-
                  and indicates the electrode potential change over time.  quency. The data are often transformed to the set of the
                  In the case of cyclic voltammetry, the electrode poten-  frequency ( ), the impedance in the real part Z real  and
                  tial is swept linearly against time (dE/dt   constant) and  that in the imaginary part Z . Generally speaking, a
                                                                                       img
                  the current i is recorded with the electrode potential.  potentio/galvanostat and frequency response analyzer
                  Easily understandable is the fact that virtually the same  (FRA) are required for this measurement, although a
                  information can be obtained from cyclic voltammetry  lock-in amp can be used instead of FRA. However, in
                  and the differentiation form of the charge/discharge  view of the S/N and the wide frequency range, there
                  curves. Therefore cyclic voltammetry is the technique  has been a recent tendency to choose the FRA. The
                  whereby the change in the electrochemical reaction  data set ( , Z , Z ) is usually plotted in a Cole–Cole
                                                                               img
                                                                           real
                  rate can be conveniently detected. A three electrode cell  plot, as shown in Fig. 6.5.7, where R sol  is the resistiv-
                  is used for cyclic voltammetry because the electrode  ity due to the polarization of the electrode, which is the
                  potential must be measured as accurately as possible,
                  meaning a two electrode cell would be unsuitable for
                  this experiment. The sweep rate is set at a rate ranging
                  from several mV to several hundred mV per second in
                  the case of aqueous electrolyte solutions and several
                  mV per minute in the case of nonaqueous solutions and
                  the current is recorded vs. the electrode potential. The  frequency(ω)   ωmax= 1/(2
R C )
                                                                                               c d
                  peak in the voltammogram corresponds to the flat  Imaginary part − Z″ (Ω)   →large
                  region in the charge/discharge curves. In the case of the
                  secondary battery system, at least one pair of the redox
                  peaks appears in the voltammogram. The potential dif-
                  ference between the redox peaks includes information
                  concerning the internal resistance and the reversibility
                  of the electrochemical process. Evidently, the current
                  corresponds to the rate of the electrochemical process  R sol      R c
                  and the integration of the peak corresponds to the              Real part Z′ (Ω)
                  capacity for each process. However, the peak in the
                  cyclic voltammogram of the electrode for the secondary  Figure 6.5.7
                  battery system normally has a broad shape because it is  Cole–Cole plot.

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