Periodic and Aperiodic Tiling Patterns from a Tetrablock Terpolymer System of the A₁BA₂C Type

Abstract

Two tetrablock terpolymers of the S1IS2P type, where S, I, and P denote polystyrene, polyisoprene, and poly­(2-vinylpyridine), respectively, were prepared anionically. S1IS2P-1 (S1/I/S2/P = 0.35/0.16/0.34/0.15, four numbers being volume fractions of S1, I, S2, and P block chains) has a structure with double hexagonal cylinders, while S1IS2P-2 (S1/I/S2/P = 0.47/0.15/0.22/0.16) has an unusual double tetragonal structure. Moreover, 13 binary blends were prepared from these two parent polymers. Among them, five blends with α­(= φS1/φS2) covering the range 1.50 ≤ α ≤ 1.86 were confirmed to have a 3.3.4.3.4 Archimedean tiling structure, in which their P domains adopt five satellite I domains, while four blends with α covering the range 1.37 ≤ α ≤ 1.48 were revealed to be a quasicrystalline tiling structure with dodecagonal symmetry.

A New Cylindrical Structure from ABCBD Pentablock Quadpolymer Melt Studied by Monte Carlo Simulation

“…The formation of 3.3.4.3.4 structure, one of Archimedean tiling patterns, was identified in the range of 1.50 ≤ α ≤ 1.86 with keeping ϕ I = ϕ P = 0.15. [30] Furthermore, a quasicrystalline tiling structure with dodecagonal symmetry was found in the range of 1.37 ≤ α ≤ 1.48. This periodic structure was predicted by Monte-Carlo (MC) simulation, [30] while quasicrystalline tiling was anticipated by self consistent field theory (SCFT).…”

“…[30] Furthermore, a quasicrystalline tiling structure with dodecagonal symmetry was found in the range of 1.37 ≤ α ≤ 1.48. This periodic structure was predicted by Monte-Carlo (MC) simulation, [30] while quasicrystalline tiling was anticipated by self consistent field theory (SCFT). [29] It is worth noting that the double hexagonally packed cylinders and the untraditional structures are…”

“…Moreover, tetrablock terpolymers can form several new class of the ordered structures. [23][24][25][26][27][28] In addition, Duan et al [29] theoretically predicted 2D tilings, whereas Miyamori et al [30] observed several periodic patterns and they even discovered aperiodic quasicrystalline tiling from S 1 IS 2 P (S 1 , S 2 ; polystyrene, I; polyisoprene, P; poly(2-vinylpyridine)) tetrablock terpolymers and their blends. In Miyamori's experiments, ϕ I (0.15) and ϕ P (0.15) were designed to keep the same.…”

“Bridge” Makes Differences to the Self-assembly of Block Copolymers

“…American Chemical Society). [30][31][46][47][48] . 例 如 , Miyamori 等 [48] 在 ABAC 体系中观察了类十二轴准晶结 构, "拉伸桥连效应"对该结构的形成起到了关键作用, 证实了我们的理论预测 [25]…”

“…一 方面, 发展了场的特殊初始化方法, 解决了复杂结构的 求解难题 [15] ; 另一方面, 利用结构空间对称性对准谱方 法进行了加速 [16] . 高效精确的自洽场计算使我们可以 开展系统深入的理论研究, 不仅加深了对实验结果的理 解 [17][18][19][20][21][22] , 所预测的新结果还促进了新的实验研究 [23][24][25][26][27][28][29][30][31][32][33] . 因此, 实验和理论的相互促进将嵌段共聚物自组装的研 究不断向前推进.…”