https://doi.org/10.1351/goldbook.B00746
The term applies to either of the equations: \[\frac{k_{\text{HA}}}{p} = G\left ( \frac{q\ K_{\text{HA}}}{p} \right )^{\alpha}\] \[\frac{k_{\text{A}}}{q} = G\left ( \frac{q\ K_{\text{HA}}}{p} \right )^{-\beta} \] (or their logarithmic forms) where \(\alpha\), \(\beta\) and \(G\) are constants for a given reaction series (\(\alpha\) and \(\beta\) are called 'Brønsted exponents'), \(k_{\text{HA}}\) and \(k_{\text{A}}\) are @C00885@ (or rate coefficients) of reactions whose rates depend on the concentrations of HA and/or of A−. \(K_{\text{HA}}\) is the acid @D01801@ constant of the acid HA, \(p\) is the number of equivalent acidic protons in the acid HA, and \(q\) is the number of equivalent basic sites in its conjugate base A−. The chosen values of \(p\) and \(q\) should always be specified. (The charge designations of H and A are only illustrative.) The Brønsted relation is often termed the 'Brønsted @C00875-1@' (or the '@C00875-2@'). Although justifiable on historical grounds, this name is not recommended, since Brønsted relations are known to apply to many uncatalysed and pseudo-catalysed reactions (such as simple @P04915@). The term 'pseudo-Brønsted relation' is sometimes used for reactions which involve @N04250@ instead of acid–base @C00874@. Various types of Brønsted parameters have been proposed such as \(\beta_{\text{lg}}\), \(\beta_{\text{nuc}}\), \(\beta_{\text{eq}}\) for @L03493@, nucleophile and equilibrium constants, respectively.
See also:
linear free-energy relation