Abstract
A lattice theory is developed for crystallization of polymers from the melt containing seeded nuclei and for volume relaxation of amorphous (or molten) polymers. The partition function of a partially crystalline polymer is formulated on the basis of the lattice model; each end of the polymer chain is assumed to be included in the crystalline region and the middle part is in the amorphous region forming a folding loop or inter-lamellar chain. The Gibbs free energy is calculated from it. The equations describing the processes of crystallization and volume relaxation are derived by applying the linear law of irreversible thermodynamics to such systems of partially crystalline and molten polymers. The results of the theory are compared with available experimental data; a close agreement is obtained for crystallization with seeded nuclei, but the agreement is not satisfactory for volume relaxation except the very early stage of the process. The result can explain the depression of the melting temperature when the amorphous chains on the crystal surface deviate from the regular fold.
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Ishinabe, T., Ishikawa, K. Lattice Theory of Crystallization from a Melt and Volume Relaxation of Polymers. Polym J 3, 300–306 (1972). https://doi.org/10.1295/polymj.3.300
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DOI: https://doi.org/10.1295/polymj.3.300