Statistics of polymer chains embedded on a diamond lattice. II. Results for arbitrary t r a n s and g a u c h e weightings

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Abstract
A polymer of finite length is embedded on a diamond lattice where the angle between adjacent monomers is cos−1(−1/3) = 109°. We set up a transfer matrix formulation and show how the characteristic function Cn(k) can be expressed in terms of the eigenvalues and eigenvectors of the transfer matrix. Results are presented for chains of various lengths and for different trans and gauche weightings. The results are particularly interesting and simple in the stiff chain limit, where the chains are shown to obey a scaling relation.

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