The issue of the termination or truncation of computer-generated react
ion models is addressed. The product rank of each species, a quantitat
ive measure of the order in which a product appears in a reaction mech
anism, was tallied during generation of the reaction mechanism. Incorp
oration of product rank in the convergence criterion allowed generatio
n of reaction mechanisms for reactants and conditions that previously
exhausted available memory when only the maximum carbon count was spec
ified. A rank-based convergence criterion alone resulted in generation
of infinite reaction mechanisms when radical addition reactions were
considered. The rank-based criterion combined with an upper bound on t
he atom count of radical species capped the number of addition reactio
ns that occurred. Coupling these two criteria provided the best capabi
lity for predicting reactant conversion and major and minor product yi
elds with the fewest number of excess components. Inherently convergen
t reaction networks require no external convergence criteria..