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 Encyclopedia of Physical Science and Technology  en012f-594  July 26, 2001  11:9






               664                                                                                Polymers, Ferroelectric


               an electric field of about 0.5 MV/cm at high temperature  with about 50% crystallinity and perfect alignment. The
               (80–100 C), followed by cooling in the presence of the  direction of P r can be reversed by subsequent application
                      ◦
               applied field. Other methods of poling include corona dis-  of the field in the opposite direction. This phenomenon,
               charge, plasma, and poling during orientation.    called ferroelectric switching, has been investigated exten-
                 For many years, there was debate over the origins of  sively to elucidate the mechanism of polarization reversal.
               the piezoelectric and pyroelectric properties in PVDF.  Although PVDF exhibits strong piezoelectric and pyro-
               The arguments seem to have reached the conclusion that  electric properties, it is necessary that the polymer film be
               the properties primarily arise from the dipole orientation,  subjected to mechanical stretching and electrical poling
               rather than from trapped space charge. The discovery of  to get the β phase. Such procedures include, for exam-
               the enhancement of piezoelectric activity in PVDF by  ple, subjecting the ferroelectric polymer to mechanical
               Kawai led to the revelation of others properties, such as py-  deformation, electron irradiation, uniaxial drawing, crys-
               roelectricity and ferroelectricity. Although there is no ob-  tallization under high pressure, and crystallization under
               vious evidence of a Curie transition in PVDF, the existence  high electric field. It is tempting to speculate about how
               of polarization loops together with polarization reversal  much improvement of the dielectric, piezoelectric, and py-
               and the switching phenomenon is generally accepted as  roelectric properties may yet be achieved by modification
               proof of ferroelectricity in PVDF. Figure 2 shows the D–E  of the chemical structure of the polymer. Some improve-
                                                           ◦
               hysteresis loops at various temperatures. Even at −100 C  ment has been achieved by synthesizing copolymers of
               a square-shape hysteresis loop is clearly observed with a  vinylidene fluoride with trifluoroethylene (TrFE), tetraflu-
                                               2
               remanent polarization P r about 60 mC/m , which does not  oroethylene (TFE), or vinyl fluoride (VF), and, indeed,
               change with temperature. However, the coercive field E c ,  some of these copolymers exhibit even higher piezoelec-
               which is the electric field used for neutralizing polariza-  tric and pyroelectric properties that will be discussed in
               tion in the material, is temperature-dependent. The value is  the next section.
               about 50 MV/m at room temperature and remains almost
               constant above the glass transition temperature (−50 C),  B. Poly(vinylidene fluoride–trifluoroethylene)
                                                         ◦
               but increases sharply at lower temperatures.         (VDF/TrFE) Copolymer
                 The remanent polarization P r , which is the polariza-
                                                                 P(VDF/TrFE) is the most studied copolymer. Lando et al.
               tion after the field has been removed, is dependent on the
                                                                 and Yagi et al. initially studied the properties and struc-
               crystallinity. For PVDF, the calculated macroscopic polar-  ture of this copolymer. The randomly distributed VDF and
                                                           2
               ization for 100% alignment of all dipoles is 130 mC/m ,  TrFE units form the cocrystalline phase in the whole com-
                                                 2
               and the measured polarization of 60 mC/m is consistent
                                                                 position range of the copolymers. The greater proportion
                                                                 of bulky trifluorine atoms in PVDF prevents the molec-
                                                                                                  +
                                                                 ular chains from accommodating the tg tg conforma-
                                                                                                     −
                                                                 tion. Therefore, copolymers crystallize at room temper-
                                                                 ature into a ferroelectric phase with the extended planar
                                                                 zigzag (all-trans) conformation, whose crystalline phase
                                                                 is similar to the β phase of PVDF homopolymer.
                                                                   1. Ferroelectric–Paraelectric Phase Transition
                                                                 Probably the solid evidence for the ferroelectricity in this
                                                                 copolymer is the existence of the ferroelectric to paraelec-
                                                                 tric (F–P) phase transition or Curie temperature T c . The
                                                                 Curie temperature of synthetic polymer was discovered in
                                                                 1980 by Furukawa et al. At this temperature, the dielec-
                                                                 tric constant shows a maximum value, the polarization and
                                                                 piezoelectric constants go down to zero, and the Young’s
                                                                 modulus and elastic constant decrease. The phase transi-
                                                                 tionofcopolymershasbeenfoundtobeaffectedbyseveral
                                                                 factors, especially the VDF content. As shown in Fig. 3,
                                                                 copolymers with VDF content below 82 mol% exhibit a
                                                                 phase transition below the melting point.
               FIGURE 2 The D–E hysteresis loops of PVDF at various electric  The lowest Curie temperature of the copolymer is about
                                                                   ◦
               fields.                                            60 C, and this phase temperature increases linearly with
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