Abstract
AbstractThe effect of spatial dimension on the stability of hierarchical nanostructures with different mid‐thin layer k in A(BC)2B multi‐block copolymer are studied using self‐consistent field theory. For the 1D hierarchical lamellae (HL), larger χBC and smaller χAB favor the HL with less k. However, hierarchical cylinders (HC) with more mid‐thin layers are stable at larger χBC. A scaling theory based on the analysis of the single‐chain B/C interfacial energy suggests that the 2D HC phase with more k has a lower single‐chain interfacial energy due to the effect of spatial dimension. Furthermore, the 3D hierarchical gyroid (HG) phase shows the universal behavior based on the scaling analysis; larger χBC leads to the stability of HG with more mid‐thin layers.
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