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Mean square radius of gyration and hydrodynamic radius of jointed star (dumbbell) and H‐comb polymers
Author(s) -
Radke Wolfgang,
Müller Axel H. E.
Publication year - 1996
Publication title -
macromolecular theory and simulations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.37
H-Index - 56
eISSN - 1521-3919
pISSN - 1022-1344
DOI - 10.1002/mats.1996.040050409
Subject(s) - radius of gyration , gyration , radius , hydrodynamic radius , dumbbell , viscosity , degree of polymerization , mean square , polymer , square (algebra) , intrinsic viscosity , chemistry , thermodynamics , molecular physics , materials science , physics , polymerization , geometry , mathematics , mathematical analysis , organic chemistry , medicine , computer security , computer science , copolymer , physical therapy
Equations for the mean square radius of gyration and the hydrodynamic radius for jointed stars (dumbbells) and H‐combs are derived, based on random flight statistics for each subchain. Comparision with literature data on computer simulations and experimental data for H‐combs show good agreement for the g ‐value of the mean square radius of gyration even in good solvents. This suggests that for the mean square radius of gyration the relative dimension of a H‐comb relative to the linear molecule of the same degree of polymerization is not altered significantly by long range interactions, as in the case of star polymers. For the hydrodynamic radius the situation is different. Fair agreement is found when comparing our results with viscosity measurements under θ conditions, while in good solvents the viscosity of the branched molecule is more reduced than predicted by our results.