Soft-materials such as block copolymers, surfactant and liquid crystals exhibit variety of ordered microstructures. Among them, the phase diagrams of diblock copolymers have been extensively investigated both experimentally and theoretically. Matsen and Shick[1] calculated the phase diagram of diblock copolymer melts by using self-consistent field theory (SCFT) and predicted that the phase diagram contains four types of structures: sphere packed in body-center-cubic, hexagonally-packed cylinders, lamellar and double-gyroid network. Khandpur et al.

The morphologies of a poly(1,4-isoprene)-block-polystyrene-block-poly(2-vinyl pyridine) (IS2VP) copolymer were investigated using resonant soft X-ray scattering (RSoXS) together with scanning force microscopy, small-angle X-ray scattering, and electron microscopy. Differences in the nanoscopic morphologies in the bulk and thin film samples were observed arising from the competition between segmental interactions between the blocks and the substrate and the surface energies of each block. Using soft X-rays at selected photon energies to isolate the scattering contribution from different polymer blocks, RSoXS unambiguously defined the complex morphology of the triblock copolymer. In the bulk sample, two nested, hexagonal arrays of P2VP and PI cylindrical microdomains residing in the PS matrix were observed. The cylindrical microdomains of one component were found to be located at the interstitial sites of the hexagonal array of the other component that has the larger d spacing. In solvent-annealed thin films with 40 nm in thickness, a hexagonal array of core-shell microdomains of P2VP cores with PS shells that reside in a PI matrix were observed.

The stability of the Fddd phase as an equilibrium phase in diblock copolymer melts was examined by using small-angle X-ray scattering and transmission electron microscopy. After 2 days of annealing at 150 °C where Fddd was found in a previous study (Takenaka et al. Macromolecules 2007, 40, 4399) for the poly(styrene-block-isoprene) (S−I), the Fddd structure still survived. The thermoreversibility in the order−order transitions (OOTs) between lamella (L) and Fddd and between gyroid (G) and Fddd was investigated. The long-time annealing at 150 °C induced the transformation from L and G to Fddd, indicating that Fddd is more stable than L and G at 150 °C. Fddd transformed into L and G, respectively, by annealing at 130 and 170 °C. These results supported that the OOTs between L and Fddd and between G and Fddd are thermoreversible. The stability of the Fddd structure after 2 days of annealing and the confirmation of the thermoreversibility in OOTs clarified that the Fddd phase exists as an equilibrium phase in S−I diblock copolymer melts.