A. Yen et al., SPATIOTEMPORAL PATTERNS AND NONCLASSICAL KINETICS OF COMPETING ELEMENTARY REACTIONS - CHROMIUM COMPLEX-FORMATION WITH XYLENOL ORANGE IN A CAPILLARY, The journal of physical chemistry. A, Molecules, spectroscopy, kinetics, environment, & general theory, 101(15), 1997, pp. 2819-2827
An experimental investigation of chemical reaction fronts, created by
an initial separation of reactants, is reported for a system of two co
mpeting reactions. Spatiotemporal patterns are observed experimentally
for the competing reaction front and are accounted for quantitatively
by a reaction-diffusion model. We use the reaction of xylenol orange
with Cr3+ in aqueous solution. Different oligomers of Cr3+ provide the
two kinetically different species that react competitively with xylen
ol orange. The parameters that determine whether pattern formation is
observable at the front are the ratios of (1) the microscopic reaction
constants of the competing reactions and (2) the concentrations of th
e competing species. Under the parameter values studied, which allowed
clear spatiotemporal separation of the two competing reactions, we fi
nd that the behavior of the reaction front at early times follows a pe
rturbation theory developed for a simple elementary A + B --> C reacti
on with initially separated reactants. The global reaction rate, obser
ved over the entire time scale of the experiments, is highly non-monot
onic. Overall, with no free parameters, our theoretical model is quant
itatively consistent with the experimental observations of the spatiot
emporal patterns, the unusual scaling laws, and the crossover behavior
s. The geometrical constraints and nonclassical behavior of the reacti
on rate allow a quantitative determination of the reaction probability
of the chromium ion monomer relative to that of the higher order olig
omers.