ISSN:
1089-7690
Source:
AIP Digital Archive
Topics:
Physics
,
Chemistry and Pharmacology
Notes:
An analysis of the configuration of pairs of self-avoiding five-way cubic lattice chains has revealed that on average the relative (squared) chain dimensions XI associated with any I- tupel of intermolecular overlaps (double occupancies) within fair limits of accuracy may be treated as an arithmetic series, ΔXI=(I−1)ΔX2, or, alternatively, also as a geometric series, XI=XI−12, for not too large values of I. Based on these findings comparatively simple expressions for the coefficient characterizing the first order concentration dependence kX of the squared end-to-end distance and the squared radius of gyration have been developed built up from X2 and the excluded volume functions h(z) and ψ(z) for the arithmetic series case, or h(z) and h(X2z), for the geometric series case, respectively. kX values calculated according to these expressions coincide well with those evaluated directly for lattice chains and exhibit at least fair agreement with those evaluated experimentally by SANS of SAXS techniques for real polymers.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.453272
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