Schematic illustration of the composition profile for the linear gradient copolymer. The solid line denotes the average composition profile. The dash line denotes a deviation from the average composition profile. t is the segment index and is normalized by the degree of polymerization of the polymer chain. A schematic representation of different monomer sequences in gradient copolymers with the same chain length is provided in the inset. The open circles denote monomer A, and the closed circles denote monomer B.
Inverse structure factor of the linear gradient copolymer melts with the average composition profile, G(t) = t, as a function of qR g for three compositional polydispersity: k y = 0, 0.1, 0.2.
Plots of the critical point segregation, (χN) c (solid line), and the critical domain spacing, L c (dash line), as a function of the parameter k y .
Equilibrium density profiles of A monomers at (a) χN = 30 and (b) χN = 100 for different values of k y . The period of the lamellar structure is D.
Interfacial width W plotted as a function of k y for the lamellar phases at (a) χN = 30 and (b) χN = 100.
Period of the lamellar phase as a function of χN for different values of k y .
Equilibrium probability distribution functions of selected points along a single polymer chain for χN = 30. J = 0, 2, and 1 indicate the two chain ends and the mid-point of chain, respectively. The solid and dash lines correspond to the results from k y = 0 and k y = 0.15, respectively.
Schematic comparison of the domain spacings formed by gradient copolymers in the region with a relatively small value of χN. In this and the following figures, D and D′ represent the domain spacings for system with compositional monodispersity and polydispersity, respectively.
Equilibrium probability distribution functions of selected points along a single polymer chain for χN = 100. The index J (J = 0 ∼ 10) indicates 11 points (including two chain ends) selected uniformly along the polymer. The solid lines and dash lines correspond to the results for k y = 0 and k y = 0.15, respectively.
Schematic comparison of the domain spacings formed by gradient copolymers in the region with a relatively large value of χN.
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