I am studying the associating schemes proposed by De Villiers et al. (DOI:10.1021/ie200521k) in 2011.

In order to give their analytical expression for XA (the non-bonded site fraction) they establish the relation between the fractions of XA and XB as:

XB= (XA)^1/2

However, I wish to understand how did they reached the conclusion that this was the relationship between the two, as in the publication it is mentioned but not clearly demonstrated.

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