catalytic coefficient

https://doi.org/10.1351/goldbook.C00885
If the @R05156@, \(\nu\), 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 @R05163@ and \(C_{i}\) represents one of a set of catalysts, then the proportionality factor \(k_{i}\) is the catalytic @C01124@ of the particular @C00876@ \(C_{i}\). Normally the partial @O04322@ \(n_{i}\) with respect to a @C00876@ is unity, so that \(k_{i}\) is an (α + β + ... + 1)th order @R05137@. The proportionality factor \(k_{0}\) is the (α + β +...)th order @R05137@ of the uncatalysed component of the total reaction. For example, if there is @C00874@ by hydrogen and hydroxide ions, and the @O04322@ 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]