A method for the analysis of ion binding to a neutral polymer, such as poly(oxyethylene) (POE), based on the one-dimensional lattice model has been proposed. The grand partition function for the one-dimensional lattice has been given by the product of the statistical weight matrix. Interaction between the ions bound to the lattice points has been well approximated by the Debye-Hückel pair-by-pair potential, and the distance between the bound ions has been assumed to be the root mean square end-to-end distance of the partial chain. Based on the model, an equilibrium constant has been defined which is referred to the binding constant.
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Awano et al. (1982) studied this question.
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