Static-coherent-scattering function for a single polymer chain: Conformational space renormalization of polymers. V

Takao Ohta, Yoshitsugu Oono, Karl F. Freed

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The static-coherent-scattering function S (k,N) for a single polymer chain consisting of N units with full excluded-volume effect is calculated by the renormalized perturbation method in chain conformation space. S (k,N) is given in a closed form to order μ(=4-d, d being the spatial dimension) as a function of x=k2S2 with S2 the radius of gyration. It is found that I(x)=S (k,N)S (0,N) is very close to the I0 without any excluded-volume effect; the difference between I (x) and I0(x) is sufficiently small to probably preclude experimental measurement. However, there still remains the possibility of observing the excluded-volume effect on the dissymmetry coefficients which magnifies the difference between I (x) and I0(x).

Original languageEnglish (US)
Pages (from-to)2801-2811
Number of pages11
JournalPhysical Review A
Issue number5
StatePublished - Jan 1 1982


ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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