Definition of catalytic coefficient

If the rate of reaction (v) is expressible in the form

v = (k0 + ki[Ci]ni) [A] [B]...

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 will be unity, so that ki is an (++...+1)th order rate coefficient . The proportionality factor k0 is the (++...)th order rate coefficient of the uncatalysed component of the total reaction.