Page 157 - Organic Electronics in Sensors and Biotechnology
P. 157

134    Cha pte r  F o u r

            100
                   Melinex           55:45
             90
                   Teonex
             80
            Dielectric constant  70          200            Molten phase
             60
             50
             40
             30                              150         T m
             20
              20  30  40  50  60  70  80  90  100 110  100  Paraelectric phase
                        Temperature (°C)                         T c
                           (a)              Temperature (°C)  50
             10
              8                               0   Anti-ferroelectric  Ferroelectric phase
                                                  phase?
              6
                                  Saturation P. +
              4                   rem. P. +  –50
            D (μC/cm 2 )  –2 2 0  rem. P. –   PTrFE  20  VDF content (mol %)  80  PVDF
                                  Saturation P. –
                                                                      100
                                                        40
                                               0
                                                             60
             –4                                           (c)
             –6
             –8
            –10
              20  30  40  50  60  70  80  90  100 110
                        Temperature (°C)
                           (b)
          FIGURE 4.8  (a) Temperature dependence of the dielectric constant of a fl exible
          P(VDF-TrFE) sensor element (55:45) indicating the phase transition temperature upon
          cooling and heating (dashed line). (b) Temperature dependence of the dielectric
          constant of the same fl exible P(VDF-TrFE) sensor element indicating the phase transition
          temperature at the point where the remnant polarization vanishes. (c) Phase diagram as
          derived by Furukawa.  The stars are the data points for ferroelectric fi lms based on the
                         20
          sol-gel procedure. All fi lled symbols correspond to transition temperatures upon cooling,
          whereas the empty symbols correspond to values obtained upon heating. (Reprinted
          from Ref. 20. Copyright 1997, with permission from Elsevier.)
               This ferroelectric-paraelectric phase transition can be clearly seen in
               the temperature dependence of the polarization where the remnant
               polarization vanishes beyond the Curie temperature  T (Fig. 4.8b).
                                                               c
               The temperature dependence of the dielectric constant (permittivity)
               also reveals the transition from the ferroelectric to the paraelectric
               phase at the Curie temperature, which, in the case of 55% VDF con-
               tent, is the same upon heating and cooling, thus indicating a second-
               order phase transition (Fig. 4.8a). The behavior of the permittivity
               was also more deeply investigated by temperature- and frequency-
               dependent dielectric spectroscopy (Fig. 4.9), revealing the phase tran-
               sition peak at T  and the slight decrease of the dielectric constant with
                            C
               frequency that is most pronounced around the maximum of ε in the
               vicinity of T .
                          C
                   For materials with increased VDF content, a hysteresis develops
               between heating and cooling, thus corresponding to first-order phase
   152   153   154   155   156   157   158   159   160   161   162