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

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Asymmetric Star Polymers Synthesis and Properties 101 Fig. 3. Expansion factor sG of the mean square distance between the two centers of mass as a function of FB for miktoarm copolymers AxBf–x with x=2 and various values of f-x. * * * uA = uB = 0, uAB = e / 8 (reproduced with permission from [63]) Fig. 4. Ratio g SA as a function of FB for miktoarm copolymers AxBf–x with x=3 and various * * * values of f–x. uA = uB = 0, uAB = e / 8 (reproduced with permission from [63])
102 N. Hadjichristidis, S. Pispas, M. Pitsikalis, H. Iatrou, C. Vlahos solvent. In a selective solvent however the cross interactions are as effective as in the macroscopic state of common theta or a common good solvent depending on the solvent conditions within the homopolymer part. The dependence of length fraction of B arms on the ratios g is shown in Fig. 4. Miktoarm stars A n B m , where A or B are deuterated are necessary in order to evaluate these theoretical predictions. The same group also calculated the dimensionless ratios s G and g for miktoarm star copolymers by means of off-lattice Monte Carlo simulations [64]. The model considers Gaussian units with Lennard-Jones intramolecular interactions whose parameters have been set to mimic the various macroscopic states. Polymers of the A 2 B, A 2 B 2 , A 2 B 4 , A 3 B 3 and A 6 B 6 type with equal length branches and total number of units N=24, 48, 84, 108, 144 and 204 have been generated. The Pivot algorithm was used for the generation of the Monte Carlo sampling. The values of the ratios extrapolated to the limit of large molecular weights are presented in Table 1. Table 1. The extrapolated values of the dimensionless ratios sG , and by Monte Carlo calculations. The values in brackets are data by Renormalization Group analysis g SA g G A s G g SA s G g SA g GA s G g SA g GA A 2 B A 2 B 2 A 2 B 4 A 3 B 3 A 6 B 6 1.518±0.013 (1.498) 1.074±0.15 (1.127) 1.419±0.005 (1.374) 1.833±0.024 (1.648) 1.103±0.013 (1.254) common theta 2.207±0.016 (1.997) 1.140±0.020 (1.508) selective solvent (theta for A) 1.605±0.015 (1.486) 1.920±0.021 (1.748) 2.454±0.022 (1.971) 1.120±0.009 (1.413) 1.980±0.018 (1.729) 5.021±0.050 (2.943) 1.119±0.013 (1.872) 3.054±0.038 (2.457) 1.061±0.009 1.107±0.018 1.173±0.014 1.150±0.009 1.207±0.010 1.258±0.020 1.371±0.014 1.584±0.018 1.590±0.027 2.093±0.035 1.294±0.005 (1.249) 1.424±0.009 (1.324) common good 1.562±0.015 (1.498) 1.616±0.017 (1.486) 2.102±0.037 (1.971) 1.037±0.004 1.068±0.004 1.129±0.008 1.102±0.004 1.151±0.003 1.086±0.007 1.171±0.009 1.321±0.015 1.285±0.011 1.529±0.007 artificially segregated s G 3.497±0.004 6.053±0.003 9.311±0.002 g GA 2.868±0.004 3.484±0.003 5.141±0.002
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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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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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