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See, for example: Guinier, A.; Fournet, G. In Small-Angle Scattering of X-rays; Mayer, M. G., Ed.; John Wiley and Sons Publishers: New York, 1955; pp 111-120. Actually, the size of the incident beam is finite in our SAXS facility, however, the smearing effect was nearly equal to that for the infinite slit height. About the details, see, for example: Hashimoto, T.; Fujimura, M.; Kawai, H. Macromolecules 1980, 13, 1660.
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31
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0343072981
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-
note
-
Strictly speaking, relative positions of higher order scattering maximum in a SAXS profile indicate only the lattice type but not the shape of microdomains. To determine the shape, the particle scattering due to the intra-microdomain interference (form factor) should be taken into consideration, though, in our experiment the form factor was not clearly observed. For PS-PI diblock copolymer it is well-known that the spherical domain structure (bcc-sphere or spheres in a face-centered cubic lattice (fcc-sphere)) appears for the A-B block copolymer with/ f < 0.17 (or f > 0.76), and the cylindrical structure occurs over the range of 0.17 < f < 0.33 (or 0.67 < f < 0.76). (see ref 2-4). In our case of f = 0.18, the block copolymer seems to have spherical or cylindrical microdomain structure. These three structures are easy to be distinguished by only the relative positions of higher order scattering maximum (1, √2, √3, √4, √5, √6, etc for bcc-sphere; 1, √4/3, √8/3, √11/3, √12/3, etc for fcc-sphere; 1, √3, √4, √7, √9, √12, √13, etc for hex-cylinder).
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32
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3643121692
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Schwab, M.; Stühn, B. Phys. Rev. Lett. 1996, 76, 924. In this work, however, the state with LDS was defined as the disordered state. We should note, however, that this state is different from the disordered state in lamella-or cylinder-forming block copolymers, simply because the block copolymer in LDS is microphase-separated and the microdomains having a well-defined interface are still static objects, persisting as a structural entity at any time instances in the time scale of our SAXS experiments: they are not dynamical objects which are generated and relaxed with a certain relaxation time. Note also that the microphase-separated state has less entropy than the disordered state free from the microphase-separated structure.
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Schwab, M.1
Stühn, B.2
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35
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Ehlich, D.; Takenaka, M.; Okamoto, S.; Hashimoto, T. Macromolecules 1993, 26, 189. Ehlich, D.; Takenaka, M.; Hashimoto, T. Macromolecules 1993, 26, 492.
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36
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0027541666
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Ehlich, D.; Takenaka, M.; Okamoto, S.; Hashimoto, T. Macromolecules 1993, 26, 189. Ehlich, D.; Takenaka, M.; Hashimoto, T. Macromolecules 1993, 26, 492.
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Ehlich, D.1
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37
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0342638754
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note
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1/2.
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38
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0001214877
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Mori, K.; Okawara, A.; Hashimoto, T. J. Chem. Phys. 1996, 104, 7765.
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Hashimoto, T.3
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