On the second virial coefficients of polymers of various architectures
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Authors
M.K. Kosmas,
A.M. Kosmas
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Elsevier
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peer reviewed
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Polymer
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The osmotic pressure second virial coefficients A2 of linear, ring, regular star and regular comb homopolymers are studied in the Gaussian model including excluded-volume interactions. A perturbation theory scheme is used where the space dimensionality d is considered as a continuous variable and the final conclusions are based on calculations done at the critical dimensionality d=4. For chains of intermediate molecular weight, a function F can be defined which depends on the various architectures. The second virial coefficients are smaller for larger values of F. In the case of linear and ring polymers of simple architecture, the F are pure numbers, whereas they depend on the specific characteristics in the cases of more complicated architectures. For star polymers, F is a function of the number f of the branches and, in the case of combs, it depends both on f and on the ratio Ο± of the molecular weight of a branch to that of the backbone. In the limit of large molecular weights, A2 becomes independent of the architecture and a closed form is proposed for it consistent with higher-order calculations.
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Keywords
virial coefficient, linear chains, rings, stars, combs
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http://www.sciencedirect.com/science/article/pii/0032386186900352
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en
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Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Χημείας