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the CH3 units of the neighboring chains are found to be too short compared with the sum of the van der Waals radius of the H atom. The energy calculation of the model clarified two key points about the chain packing mode. First, the packing of Rd–Ld pairs in the R3c unit cell is energetically stable with the H…H distance of about 2.6 Å. But the chain conformation is strictly constrained to possess the 3/1 helical symmetry required by the space group. Once the crystallographic 31 helical symmetry is erased from the chains, as seen in the P3 model, the packing of such too rigid helical chains is energetically unacceptable and the chain conformation is spontaneously deformed so that the total energy becomes lower. Second, in the stereocomplex of the asymmetric R/L content, the population of the R/R (L/L) pairs increases statistically in addition to the R/L pairs. By modifying the chain conformation and the chain packing mode, an energetically stable structure can be attained for the crystal structure composed of only the Ru and Rd (or Ld and Lu) chain stems with the same unit cell parameters as mentioned above. These R/R (L/L) pairs are considered to exist as the locally stable structures in the stereocomplex. When the R/L ratio is beyond the critical value (refer to Figure 6.17c), the large domains of R (or L) chain stems transform to the packing structure of the α form with more stable energy.

Image described by caption.

      Source: Reproduced from Tashiro et al., Macromolecules 2017, 50, 8066−8071.

Schematic illustration of a model of stereocomplex formation from the solution cast L/D blend sample.

      Source: Reproduced from Tashiro et al., Macromolecules 2017, 50, 8048−8065.

      In addition to PLA, several aliphatic polyesters are becoming good targets for biodegradable and carbon‐neutral multipurpose polymers, though they do not have necessarily the asymmetric carbon atoms on the skeletal chains. Because of the relatively high biodegradability, these various polyesters have become increasingly important in commodity field, including medical and pharmaceutical applications, food packaging, and even automobiles. To understand and improve their physical properties, it is needed to know how the combination between the ester parts and the aliphatic (and aromatic) segments affects the structure, phase transition, and crystallization behaviors in the different manner from those of the above‐mentioned PLA case. In this section, several representative aliphatic polyesters are listed, and their structural characteristics are briefly described.

      6.6.1 Poly(3‐Hydroxybutyrate) (PHB)

       6.6.1.1 Crystal Structure of α Form

Schematic illustration of (a) chain conformation and (b) chain packing mode obtained for the PHB alpha and beta forms.

      Source: Reproduced from Phongtamrug and Tashiro, Macromolecules 2019, 52, 2995–3009 and Wang and Tashiro, Macromolecules 2016, 49, 581–594.

       6.6.1.2 Crystal Structure of β Form

      At this stage, we can compare the chain conformations of the various crystalline forms of PLA and PHB as follows. Roughly speaking, PLA takes the TTG chain conformation, though the T and G values vary slightly among the different crystal forms (α, δ, and β forms). On the other hand, the PHB α form takes the conformation of TTGG sequences, but the positions of these torsional angles are different from those of PLA chain although the local chemical structure is similar to each other. Besides, the strong stretching of the PHB chains causes the large change of the torsional angle from G to T. The rough comparison of the torsional angles is made

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