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Conclusions

Reaction 7 is an empirical relationship including a factor, f, which relates the number of [Graphics:../Images/index_gr_188.gif] ions released by the reduction of two Ce(IV) ions and the concomitant oxidation of malonic acid and its brominated derivatives. The concentration of brominated derivatives depends on the time course of the reaction via the production of [Graphics:../Images/index_gr_189.gif] in reaction 1. Thus, f also depends on time. To account for this complete mechanism, the seven reactions employed in this paper must be expanded to 21 elementary steps. As employed, however, f plays a pivotal role. If f is much below 2, then an insufficient amount of [Graphics:../Images/index_gr_190.gif] is produced to remove [Graphics:../Images/index_gr_191.gif] completely. In this case, the steady-state [[Graphics:../Images/index_gr_192.gif]] is high and depends upon the competition between an autocatalytic cycle (reactions 5 and 6) and a second-order disproportionation reaction (4). When f is much above 2, then [[Graphics:../Images/index_gr_193.gif]] is sufficient at all times that reaction 2 is important. This sink for [Graphics:../Images/index_gr_194.gif] competes with an autocatalytic cycle (reactions 5 and 6). The result is a low steady-state [[Graphics:../Images/index_gr_195.gif]]. Chemical oscillations occur when f is near 2 because the dominant chemical mode alternates.


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