(R14) and (R15) shows the (quadratic) autocatalytic formation
of HOCl:
either HOCl or Cl :
2
2Cl(III) ] Cl(I) ] 2Cl(IV) ] Cl(ÈI)
(R21)
(R22)
ClO ~ ] HOCl ] 3H` ] Red ] 2HOCl ] H O ] Red2`
and
2
2
(R16)
Cl(III) ] Cl(0) ] Cl(IV) ] Cl(ÈI)
With such a rapid formation of HOCl, all oxidations by
chlorite will be insigniÐcant. Since the rate of formation of
HOCl is rate-determining, then reactions (R8) and (R9) will
still be rate-determining. The induction period will end when
It is reasonable to assume that reaction (R10) (in the form of
(R21), above), would be the dominant route for the production
of ClO . Reaction (R10) is a composite that involves the
2
initial reaction of ClO ~ with HOCl (as in reaction (R14)).
2
reaction (R10) produces more ClO than can be consumed by
The protonated form of ClO ~; chlorous acid, HClO , is a
poorer nucleophile than the unprotonated form (HOCl is an
electrophile), and hence at high acid concentration, reaction
(R10) would become marginal in favor of the slower reaction
2
2
2
AETSA, the sulfoxide and the sulfone.
Reaction of chlorine dioxide with AETSA
of HOCl with HClO :
2
Chlorine dioxide is an odd-electron species, and in most of its
oxidations, the initial step involves the addition of an electron
to produce chlorite:
2HClO ] HOCl ] H` ] 2ClO ] Cl~ ] H` ] H O
2
2
2
(R10b)
or simply there would be less free ClO ~ available to e†ect
ClO ] e~ ] ClO ~
(R17)
2
2
2
reaction R10.
The chlorite then carries out most of the oxidations. Reaction
(R17), however, will not be fast. Further reduction of ClO ~
Quantitative formation of ClO . By incubating reaction
2
will produce HOCl which will give back ClO according to
2
2
solutions for extended periods of time (7 days or more), one
reaction (R10). This will not be very helpful with respect to the
notices that there is a slower rate of formation of chlorine
dioxide that continues way after the AETSA has been con-
sumed. Since we utilized highly acidic media, we expect dis-
proportionation of chlorite to chlorine dioxide to predominate
over the other pathway that gives chlorate (in basic
environments). Both stoichiometries (R2) and (R3) give Cl~
ions as products. In the presence of acid, the following slow
reaction will occur:24
reduction of AETSA, and one would expect a very slow reac-
tion which is basically controlled by the free radical kinetics of
reaction (R17). Fortunately, HOCl reaction with AETSA is
fast enough to compete favorably with (R10) to produce Cl~
(also produced in reactions (R11)È(R13) which can directly
attack ClO in acidic environments to produce more reactive
2
species ClO ~ and HOCl:23
2
ClO ~ ] Cl~ ] 2H` H 2HOCl
(R23)
2ClO ] Cl~ ] H O ] 2ClO ~ ] HOCl ] H` (R18)
2
2
2
2
The production of HOCl will immediately trigger reaction
(R10), forming chlorine dioxide. Since reaction (R18) is slow
on the timescale of the oxidation of AETSA, it will not inter-
fere with the kinetics of the reaction we are studying. It will,
(R18) is not a single step process, and would involve the initial
formation of some intermediate powerful oxidizing species
such as Cl O .
2
2
Cl O ~ ] ClO H ClO ~ ] Cl O
(R19)
(R14)
however, be responsible for the continued increase in ClO
concentration long after the oxidation of AETSA is complete.
2
2
2
2
2 2
2
Cl O ] H O H ClO ~ ] HOCl ] H`
By eliminating HOCl, one can add (R23) ] 2(R18) to obtain a
2
2
2
2
well-known reaction for the decomposition of ClO ~ in acidic
The formation of these powerful oxidizing species would then
initiate the oxidation, thereby by-passing bottleneck estab-
lished by reaction (R17). (R18) is the reverse of (R10). Its direc-
tion is determined by the HOCl concentration. At high HOCl
concentration reaction (R10) will dominate.
The data in Fig. 7 show what appears to be a violation of
the second law of thermodynamics by the delivery of a non-
monotonic decrease in the position of the lowest free energy
with respect to chlorine dioxide concentration (see traces (a)
2
media:21
5ClO ~ ] 4H` ] 4ClO ] 2H O ] Cl~
(R24)
2
2
2
Ultimately, the Ðnal chlorine dioxide formed depends on the
excess chlorite concentrations according to reaction stoichi-
ometry (R24). In mildly acidic environments, stoichiometry
(R24) can take several days to establish.
Computer simulations
and (b)). The observed “cuspÏ in the decay of ClO can only be
2
produced by a combination of two or more nonlinear kinetics
The full mechanism, which combines the chloriteÈAETSA
reaction and the chlorine dioxideÈAETSA reaction, was com-
piled into the 21 reactions shown in Table 1. There are 12
oxychlorineÈsulfur reactions in which the chlorine center is
reduced, 4 pure oxyhalogen reactions, 3 sulfurÈsulfur dispro-
portionation reactions and 2 acidÈbase equilibria. To model
this reaction network the stochastic algorithm contained in
the chemical kinetics simulator (CKS) software package devel-
oped by IBMÏs Almaden Research Center was used. This algo-
rithm was as accurate as the semi-implicit fourth order
RungeÈKutta scheme developed by Kaps and Rentrop. The
CKS package, however, required fewer computer resources.
Reactions (M1) and (M21) are rapid protolytic reactions
whose kinetics parameters were inconsequential for the simu-
lations as long as they were fast (and not rate-determining).
The ratios of the forward and reverse reactions were chosen
pathways. These could be in the form of autocatalysis or
autoinhibition. Quadratic autocatalysis is displayed in the
production of HOCl, and this fuels its rapid increase in which
it is not all consumed by the time the reducing substrate,
AETSA has been completely consumed. From the above reac-
tion network, it is not difficult to explain the observed increase
in ClO at the end of the reaction in Fig. 7. The system can
2
proceed according to (R18) until all the AETSA has been con-
sumed, leaving behind ClO ~, Cl~ and some HOCl. These
2
will recombine in the absence of reductant to re-form ClO .
2
This reaction is necessary for stoichiometric consistency.
Formation of ClO
2
Most rates of oxyhalogen reactions are enhanced by acid. In
this particular reaction system we observe a retardation of
ClO formation with acid (see Fig. 4). ClO is formed by the
such that they maintained the standard pK s of the respective
a
weak acids. The parameters for the oxychlorine reactions,
2
2
oxidation of chlorite. This oxidation can be carried out by
(M11), (M12), (M17) and (M18) were derived from a com-
4962 Phys. Chem. Chem. Phys., 2001, 3, 4957È4964