The formation mechanism of banded spherulites of poly(vinylidene fluoride) has been examined experimentally by optical and atomic force microscopies. We have confirmed the proportional relationship between the band spacing and the maximum lateral width of lamellar crystals at the growth front, and the square root dependence of the maximum width and the band spacing on the growth rate. The square root dependence suggests a splaying instability of the growth front regulated by a gradient of free energy in the liquid side, and the proportional dependence suggests the dominant effect of torsional reorientation on the occasion of splaying in the period determination of band spacing.KEY WORDS: Spherulites / Poly(vinylidene fluoride) / Branching / Crystallization of polymers from the melt evolves as a higher-order structure of spherulite with radiating and space filling branches. A number of polymer spherulites accompany concentric ring pattern in them and are called banded (or ringed) spherulite. The formation mechanism of spherulites in general and that of banded spherulites specifically have been studied for many years, but the fundamental mechanism of the pattern formation has not been clarified yet.
1,2The concentric ring pattern in polymer spherulites is caused by an optical birefringence of lamellar crystallites which have twisting correlation along the radial axis.3-10 Concerned with the origin of the torsional stress, folded chains in the upper and lower surface regions of lamellar crystals are supposed to give rise to a residual asymmetric stress which has non-zero component of the torsional stress. The stress is called unbalanced surface stresses 11 and can get stronger by the reorganization of folding surfaces with lamellar thickening.12 The molecular origin of the torsional stress is therefore dependent on the specific nature of each polymer, such as molecular chirality 13 or asymmetric higher-order structures of the crystals. 14,15 In our recent studies, we have been focusing not on the molecular origin of the inherent stress but on the mechanism of the structural formation of spherulites in a mesoscopic scale, i.e., the mechanism of branching and re-orientation of lamellar crystals in the spherulites. We have examined the banded spherulites of polyethylene and non-banded spherulites of polybutene-1 in our recent studies. 16,17 The present paper is therefore for the further confirmation of the following proposed mechanism on the banded spherulites of poly(vinylidene fluoride), PVDF.In our proposed modeling of the branching and reorientation of lamellar crystals, we have suggested the possibility of a splaying instability of the growth front as the source of branching; the lateral width of each lamellar crystal is limited at a critical width, i.e., maximum lateral width, above which the crystal splays into branches. After the branching, the branches will be spontaneously re-oriented due to torsional inherent stress in the case of banded spherulites. Then, the reorientation results in the independent growth...