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Distribution function for the radius of gyration for theta chains attached at one end to an impenetrable surface
Author(s) -
Mattice Wayne L.,
Napper Donald H.
Publication year - 1994
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.1994.040030602
Subject(s) - radius of gyration , radius , distribution function , surface (topology) , distribution (mathematics) , intramolecular force , function (biology) , chemistry , gyration , molecular physics , physics , geometry , mathematics , mathematical analysis , thermodynamics , polymer , nuclear magnetic resonance , stereochemistry , computer security , evolutionary biology , biology , computer science
Chains that are unperturbed by the intramolecular excluded volume effect are examined in the free state and under conditions where one of the ends is attached to an impenetrable surface. The density of the attachment of the chains to the surface is so low that interchain interactions can be ignored. The shapes of the distribution functions for the squared end‐to‐end distance, r 2 , and squared radius of gyrations, s 2 , are evaluated in both situations. As is well‐known from previous work, attachment of the chains to the impenetrable surface produces an increase in 〈 r 2 〉 and (to a lesser extent) 〈 s 2 〉. It also narrows the distribution function for r 2 . There is, however, no detectable effect on the shape of the distribution function for s 2 . The narrowing of the distribution function for r 2 , coupled with the absence of any effect on the shape of the distribution function for s 2 , is rationalized with a very simple model.