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              Polymers, Ferroelectric                                                                     663







































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                     FIGURE 1 (Left) Schematic depiction of the two most common chain conformations in PVDF: (a) tg tg and
                     (b) all-trans. (Right) Unit cells of (a) α phase, (b) δ phase, and (c) β phase of PVDF in projection parallel to the
                     chain axis.

              under high pressure or epitaxial technique. The unit cell of  (α form), which is larger and has high birefringence and
              the β phase contains two all-trans chain conformations in  tightly spaced concentric bonding. The second type is
                                                          ˚
              orthorhombic symmetry with the lattice with a = 8.45 A,  smaller and has less birefringence, and comes from the
                     ˚
                                  ˚
              b = 4.88 A, and c = 2.55 A. The dipole components nor-  γ phase. The morphology of PVDF has recently been in-
              mal to the chain (b axis) are parallel. Thus, the β phase is  vestigated as a function of head-to-head defects and crys-
              a polar phase that possesses spontaneous polarization and  tallization temperature for a wide range of temperatures.
              exhibits piezoelectricity as well as pyroelectricity.
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                The γ phase contains two tttg tttg chain conforma-
                                            −
                                                                  4. Ferroelectricity and Related Properties
              tions that are packed in a polar fashion. It has unit cell di-
                               ˚
                                         ˚
                                                      ˚
              mensions of a = 4.96 A, b = 9.58 A, and c = 9.23 A. This  of PVDF
              phase may be obtained by the crystallization of a molten  Although the β and δ phases are known to be polar since
              sample at high temperature or solution cast from dimethy-  the components of their dipoles are arranged in the same
              lacetamide (DMA) or dimethylformamide (DMF).      direction, the β phase has stronger pyroelectric and piezo-
                                                                electric coefficients than the other phase. Therefore, to
                                                                obtain a useful PVDF as a transducer material, a polymer
                3. Morphology of PVDF
                                                                film must be oriented and polarized. The orientation or
              The crystallization of PVDF from the melt results in  stretching can be performed between the glass tempera-
              spherulitic morphologies in which the lamella stacks have  ture T g and melting temperature T m by stretching a poly-
              a periodicity of about 10 nm and have no net dipoles. A  mer film to several times its original length. Poling can
              number of papers have reported on the morphology of  be accomplished either at room temperature with a high
              melt-solidified PVDF. There are two types of spherulites  electric field or at high temperature with a low field. For
              grown from the melt at high temperature (up to 60 C).  conventional thermal poling, a polymer film is stretched,
                                                        ◦
              The most common is a spherulite from the nonpolar phase  annealed, electroded on both surfaces, and subjected to
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