## 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 $$\left ( \mathit{\alpha } + \mathit{\beta } + ... + 1 \right )$$th order @R05137@. The proportionality factor $$k_{0}$$ is the $$\left ( \mathit{\alpha } + \mathit{\beta } + ...\right )$$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]