catalytic coefficient

https://doi.org/10.1351/goldbook.C00885
If the @[email protected], \(\nu\), is expressible in the form: \[\nu = (k_{0}+\sum _{\begin{array}{c} i \end{array}}k_{i}\ [C_{i}]^{n_{i}})\ [A]^{\alpha }\ [B]^{\beta }\ ...\] where A, B, ... are @[email protected] and \(C_{i}\) represents one of a set of catalysts, then the proportionality factor \(k_{i}\) is the catalytic @[email protected] of the particular @[email protected] \(C_{i}\). Normally the partial @[email protected] \(n_{i}\) with respect to a @[email protected] is unity, so that \(k_{i}\) is an \(\left ( \mathit{\alpha } + \mathit{\beta } + ... + 1 \right )\)th order @[email protected] The proportionality factor \(k_{0}\) is the \(\left ( \mathit{\alpha } + \mathit{\beta } + ...\right )\)th order @[email protected] of the uncatalysed component of the total reaction. For example, if there is @[email protected] by hydrogen and hydroxide ions, and the @[email protected] can be expressed in the form: \[k = k_{0}+k_{\text{H}^{+}}\ [\text{H}^{+}]+k_{\text{OH}^{-}}\ [\text{OH}^{-}]\] then \(k_{H^{+}}\) and \(k_{\text{OH}^{-}}\) are the catalytic coefficients for H+ and OH, respectively. The constant \(k_{0}\) relates to the uncatalysed reaction.
Sources:
PAC, 1994, 66, 1077. (Glossary of terms used in physical organic chemistry (IUPAC Recommendations 1994)) on page 1093 [Terms] [Paper]
PAC, 1996, 68, 149. (A glossary of terms used in chemical kinetics, including reaction dynamics (IUPAC Recommendations 1996)) on page 156 [Terms] [Paper]