Abstract
The correlation function derived from the free-energy function of Bjerrum's theory is\(g_{ + - } (r) = (\alpha /\rho {\rm K})e^{b/r}\) in the range ofr corresponding to ion pairs. Here α is the fraction of ions that are paired, ϱ is the total particle number density of positive (or negative) ions,K is Bjerrum's association constant, andb is the Bjerrum length. For the same model the HNC approximation givesg + −(r) that varies in shape as the concentration is changed, unlike the above expression. The results are discussed in the light of a famous remark by Onsager.
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Friedman, H.L. The pair correlation functiong + −(r) implied by Bjerrum's theory of ion pairing. J Solution Chem 9, 371–379 (1980). https://doi.org/10.1007/BF00645514
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DOI: https://doi.org/10.1007/BF00645514