142 Advances in Polymer Science Editorial Board: A. Abe. A.-C ...

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Asymmetric Star Polymers Synthesis and Properties 111 Fig. 5. Comparison of the variation of (cN) s with composition for graft and diblock copolymers. The number monomers (N) in each copolymer is the same. t is the fractional position of the branch. (reproduced with permission from [76]) Fig. 6. Variation of (cN 0 ) s with composition and arm number for A n B n star copolymers. N 0 is the number of monomers in the diblock (A 1 -b-B 1 ). (reproduced with permission from [76])
112 N. Hadjichristidis, S. Pispas, M. Pitsikalis, H. Iatrou, C. Vlahos Fig. 7. Phase diagram in the strong- segregation limit for starblock copolymers with n A A arms and n B B arms as a function of the volume fraction of the B monomer (reproduced with permission from [77]) Milner [77] studied the phase diagram of A n B m miktoarm copolymers in the strong segregation limit in which the interface between A and B chains is sharp. The morphology of microphases and their length scale are determined by a competition of the interfacial tension and the increase in the stretching free energy as the copolymer arms stretch away from the interface. Calculations are made in terms of the cross sectional area relative to the outer surface from different “wedges” corresponding to spherical, cylindrical, and OBDD phases. The surface tension contribution is the area of the dividing surface times the surface tension g, while the stretching energy was calculated by considering the miktoarm stars as brushes. The copolymer chains are added one by one and the work to add each one is summed. The total free energy of each structure (the sum of the stretching and interfacial energy) is then minimized. The phase diagram is determined by the cross lines of the free energy of different structures and is presented in Fig. 7 as a function of the volume fraction of the B units F B 12 / n and the parameter A( lA) e = which expresses the polymer asymmetry. n 12 / A, nB( lB) nB are the numbers of A or B arms and lA , lB are material parameters expressing the elasticity of the A and B homopolymers. The consideration of miktoarm stars as brushes (branches without common origin) with A and B arms crossing the interface will make no sense for small number of arms but in the other case,
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142 Advances in Polymer Science Edi
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Branched Polymers I Volume Editor:
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Volume Editor Dr. Jacques Roovers I
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Preface While books have been writt
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Contents Synthesis of Branched Poly
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Synthesis of Branched Polymers by C
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Poly(macromonomers), Homo- and Copo
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Dendrimers and Dendrimer-Polymer Hy
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Author Index Volumes 101-142 Author
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Author IndexVolumes 101-142 231 Dun
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Author Index Volumes 101-142 233 Ka
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Author Index Volumes 101-142 235 Og
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Author Index Volumes 101-142 237 Su
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Subject Index Addition-fragmentatio
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Subject Index 241 Microphases 11z,
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