Rod-Coil Copolymers: Their Aggregation Behavior

Macromolecules

Volumn 23, Issue 10, 1990, Pages 2724-2731

  Halperin, A ^a  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

COPOLYMERS--SOLUTIONS;

AGGREGATION BEHAVIOR; POLYMERIC SURFACTANTS; ROD-COIL COPOLYMERS; SCALING BEHAVIOR;

BLOCK COPOLYMERS;

EID: 0025420903     PISSN: 00249297     EISSN: 15205835     Source Type: Journal    
DOI: 10.1021/ma00212a023     Document Type: Article

References (26)

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6. Halperin, A, Europhys. Lett. 1989, 10, 549.
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9. de Gennes, P.-G. In Solid State Physics; Leibert, L., Ed.; Academic Press: New York, 1974; Supplement 14.
10. This terminology was designed and is most appropriate for spherical micelles formed by diblock copolymers. For brevity we use these terms in the wider sense indicated in the text.
11. Alexander, S. J. Phys. (Les Ulis, Fr.) 1977, 38, 983.
12. A rigorous analysis of the aggregation behavior should utilize a grand canonical free energy, allowing for all possible mesophases, polydispersity, fluctuation, etc. For simplicity we utilize the Shulman approximation7 in which the free energy per aggregated chain is used and a single aggregate type is considered. This approach also does not allow for the role of the chemical potential in determining the aggregates structure. Also, it does not provide a basis for a complete discussion of the systems phase behavior. For example, the relative stability of the lamellar and micellar phases is not obtainable by this approach.
13. Halperin, A. Macromolecules 1987, 22, 1943.
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17. These requirements imply yd2 kT.
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23. Halperin, A. J. Phys. (Les Ulis, Fr.) 1988, 49, 131.
24. Huang, K. Statistical Mechanics; John Wiley: New York, 1987.
25. Halperin, A. Europhys. Lett. 1987, 4, 439. The blob argument in this paper suggests that the interaction parameter between densely grated A and C coils scales as x ~ M>iobXppblob ~ Nz(a/d)V3Xppbiob where Nbiob is the number of blobs per chain and xPPblob is the interaction parameter between A and C blobs. The final result of this paper follows from the assumption xPPblob > Xpp where xPP is the corresponding monomer-monomer interaction parameter. A more rigorous analysis (Broseta, D.; Leibler, L.; Joanny, J. F. Macromolecules 1987, 20, 1935) suggests xPPbk>b ~ XPP0XSD where xSD =0.275, thus leading to the result quoted in the text.
26. Properly speaking, the term “line tension” refers to the free energy per unit length associated with the three-phase boundary. See, for example: Rowlinson, J. S.; Widom, B. Molecular Theory of Capillarity; Clarendon Press: Oxford, 1982. For convenience we use this term for the two-dimensional analogue of surface tension.