catalytic coefficient

https://doi.org/10.1351/goldbook.C00885
If the
rate of reaction
, ν, is expressible in the form: ν=(k0+iki [Ci]ni) [A]α [B]β ... where A, B, ... are
reactants
and Ci represents one of a set of catalysts, then the proportionality factor ki is the catalytic
coefficient
of the particular
catalyst
Ci. Normally the partial
order of reaction
ni with respect to a
catalyst
is unity, so that ki is an (α+β+...+1)th order
rate coefficient
. The proportionality factor k0 is the (α+β+...)th order
rate coefficient
of the uncatalysed component of the total reaction. For example, if there is
catalysis
by hydrogen and hydroxide ions, and the
order of reaction
can be expressed in the form: k=k0+kH+ [H+]+kOH [OH] then kH+ and kOH are the catalytic coefficients for H+ and OH, respectively. The constant k0 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]