Abstract
A first stage in the study of polymer solution science ended with the worldwide acceptance of the concept of the excluded-volume effect in the mid 1950s shortly after the publication of the celebrated book by Flory [1] in 1953. In the next stage, activity was centered mainly in the study of dilute solution behavior of flexible polymers within the Flory framework which consists of that concept for the Gaussian chain and the universality of its Θ state without that effect. The theoretical developments were then made by an application of orthodox but rather classical techniques in statistical mechanics for many-body problems with a more rigorous consideration of chain connectivity, thus all leading except for a few cases to the so-called two-parameter (TP) theory, which predicts that all dilute solution properties may be expressed in terms of the unperturbed (Θ) dimension of the chain and its total effective excluded volume. The results derived until the late 1960s are summarized in Yamakawa’s 1971 book [2] along with a comparison with experimental data. In the meantime, on the other hand, an experimental determination of the (asymptotic) unperturbed chain dimension for a wide variety of long flexible polymers [3] brought about great advances in its theoretical evaluation for arbitrary chain length on the basis of the rotational isomeric state (RIS) model [4], and all related properties are sophisticatedly treated in Flory’s second (1969) book [5].
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Yamakawa, E.H. (1997). Introduction. In: Helical Wormlike Chains in Polymer Solutions. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60817-9_1
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