Applied

The Belousov-Zhabotinskii Reaction by John J. Tyson (auth.)

By John J. Tyson (auth.)

In 1958 B. P. Belousov stumbled on that the oxidation of citric acid through bromate within the presence of cerium ions doesn't continue to equilibrium methodically and uniformly, like so much chemical reactions, yet particularly oscillates with clocklike precision among a yellow and colorless kingdom. See Fig. eleven. 1, p. 30. A. M. Zhabotinskii up on Belousov's unique commentary and in 1964 his first investigations seemed within the Russian magazine Biofizika. notwithstanding H. Degn (in Copenhagen on the time) knew of Zhabotinskii's paintings and released his personal account of the mechanism of oscillation in Nature (1967), this fascinating response attracted little consciousness between Western scientists until eventually 1968, while Zhabotinskii and his coworkers and Busse (from Braunschweig, W. Germany) mentioned on their paintings at a global convention on organic and biochemical oscillators held in Prague. almost immediately thereafter seemed· a flurry of papers on temporal oscillations and spatial styles during this response procedure. Vavilin and Zhabotinskii (1969) [and later Kasperek and Bruice (1971)] studied the kinetics of the oxidation three of Ce+ through Br0 and the oxidation of natural species through Ce+4. Busse (1969) three said his remark of coloured bands of chemical task propagating up and down in a protracted tube of unstirred answer. Zaikin and Zhabotinskii (1970) saw round chemical waves in skinny layers of solution.

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BrCH(COOH)2 + Br (R8') Br 2 + BrCH(COOH) 2 -. Br 2C (COOH) 2 + Br - + H+ - + +H Dibromomalonic acid is unstable in acid medium, decarboxylating to dibromoacetic acid (Br 2Ac) which is further brominated to tribromoacetic acid (Br 3Ac) In this manner a number of different brominated organic compounds are produced. Br and Ce+4 CO 2 (R9) 6Ce (RIO) 4Ce +4 +4 oxidizes these species, along with malonic acid, producing (Vavilin and Zhabotinskii, 1969; Field, Karas and Noyes, 1972): +3 + CH 2 (COOH) 2 + 2H 20 -.

The ends, k. (i Consider a one dimensional reaction vessel x = 0, x ou ox L. = 0 That is, at o , x x L for all What are the appropriate eigenfunctions of the Laplacian t v2 Ans. cos kx , k n1T L ' n=O,1,2, ... x) closed at 26 A very instructive example has been presented by DeSimone, Beil and Scriven (1973). e. thin layer of) solution: au at = D \J 2 u + f (u) u =(:~) , Since they are looking for solutions of radial symmetry (target patterns, or spirals), they work in polar coordinates. D that is, than Ul (~ ~) is immobile (or, in other words, U2 diffuses much more rapidly Ul ).

1. log[Br-] and contaminated by reactions Ce+4 Since reagent grade NaBr, there is a little HBr02 , (Rl) - (R3) , as discussed in Chapter I. increases and [ce+4] give the solution a pale yellow color. ) and is Br03 Br 2 via 100 sec, (Large amounts of With Ferroin as indicator, +4 Ce and Fe +3 ,and red to the There are four distinct phases of the consumption of slow regeneration of NaBr0 3 After about decreases dramatically. blue corresponds to the oxidized state, Br are given in present initially.

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