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Phase equilibria in copolymer/homopolymer ternary blends: Molecular weight effects
1.See, e.g., the recent review by R. J. Roe and D. Rigby, in Advances in Polymer Science (Springer, Berlin, (1987), Vol. 82 and references therein.
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8.We could, following Ref. 2, consider a more general system, containing three copolymers of different compositions (in monomers A) and f. This amounts to replacing the incompatibility h by (the copolymer/homopolymer case corresponds to
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15.Likewise, the symmetrical tricritical point that exists in solutions of incompatible polymers in a common poor (near theta) solvent [Cf. A. Onuki and T. Hashimoto, Macromolecules 22, 879 (1989) ]may be shown to be stable only at small enough polymer/polymer incompatibilities.
16.That a tricritical point may exist in a ternary mixture is an accident of symmetry: R. L. Scott, J. Chem. Soc. Faraday Trans. 2 73, 356 (1977). Note that, for our copolymer/homopolymer ternary blends, we are solely concerned with the twofold symmetry (around the isopleth axis). (New topological features would arise in the phase diagrams had the symmetry been threefold, see Ref. 14.)
17.Experiments might be facilitated by the addition of solvent.
18.Perhaps a simpler experimental procedure would be to mix two different A/B/AB ternary systems (differing by, say, the length of homopolymer A) whose phase diagrams have opposite slight asymmetries (one of which is represented in Fig. 8). One should be able to approximate this quaternary mixture by a “quasiternary” one, the molecular weight of the A component being the weight averaged mass of the two A homopolymers. By varying the molecular weight of the A component (i.e., the proportion of the two A homopolymers) one should be able to achieve symmetric conditions.
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20.P. H. E. Meijer, and M. Napiorkowski, J. Chem. Phys. 86, 5771 (1987). Meijer and Napiorkowski’s interaction parameters are related to our χ and f through the relations where 1 and 2 denote (here) the two homopolymer species (A and B). At symmetry
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33.See Ref. 7, Chap. IX.
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