(
)
N. Matsuyama et al.rChemical Physics Letters 323 2000 372–376
375
3q
Ž
.
3
complicated organic reactions to reduce Ru bpy
An additional discussion may be required for the
RSSrOSS bifurcation under illumination. In Fig. 5,
the RSSrOSS bifurcation occurs at the same point
2q
Ž
.
to Ru bpy
as well as to produce Bry, which is a
key species to control oscillations through 3 . Alam-
3
Ž .
w x
Žw 2yx
.
gir et al. 3 listed some reaction steps inherent to the
SO3 0 f1.5 mM as for the RSSrOSC bifurca-
bromatersulfite oscillator with Mn2q. Among them,
tion independently of the light intensity. This can be
Ž .
the reaction step,
understood if the threshold like 7 operates for the
w
2yx
effect of changing SO3 0. On the other hand, the
RSSrOSS bifurcation in Fig. 4 depends on the light
intensity. This may be understood as follows; even in
RSS, HBrO2 is being produced more or less through
non-autocatalytic processes such as
HOBrqSO32y BryqSO42yqHq
6
Ž .
Ž
Ž
..
which corresponds to their R2 should be effective
to bring the system to the reduced side by reducing
yx
w
x
w
HOBr and increasing Br , bringing the equilib-
2q
2Ru bpy qBrOy3 q3Hq
Ž .
rium in 3 more to the right. Note that sulfite may
actually exist in protonated forms, such as HSOy3 or
H2 SO3, in the strongly acidic solution as employed
here. Even SO42y should partly take a form of
HSO4y. However these would not bring about any
essential problem into the qualitative discussion given
Ž
.
3
2Ru bpy 3qqHBrO2 qH2O .
8
Ž .
Ž
.
3
Ž .
HBrO2 produced in 8 is, however, consumed im-
Ž .
mediately by switching process 3 to prevent the
autocatalysis to initiate. Illumination enhances pro-
Ž .
here. The rate constant for 6 has been estimated as
Ž .
cess 8 to increase the production of HBrO2 , which,
k6 )108 My1 sy1, which could compete with pro-
in turn, enhances the consumption of Bry in 3 .
Ž .
9
cess 3 ; k3 s2=10 My2 sy1 3 .
Ž .
w x
Therefore, the autocatalysis would start at a lower
y
w
yx0
Ž .
In 6 , the rate of production of Br is propor-
value of BrO3 for increasing light intensity.
In the present letter, we have examined the effect
w
w
x
tional to HOBr , which is, in turn, roughly propor-
yx yx yxw 2yx
w
w
of stationary illumination on the BrOy3 rSO32yr
tional to BrO3 ; namely, Br A BrO3 SO3
.
2q
Ž .
Comparing this with 5 , we may get the critical
concentration of SO32y for the initiation of autocatal-
ysis as
Ž
.
Ru bpy
chemical oscillator system in a flow reac-
3
tor in a form of the state diagrams spanned by the
w
yx0
light power and BrO3 and by the light power and
w
2yx
SO3 0. We have also determined a state diagram in
SO32y A k rk
,
.
3
7
Ž .
Ž
C
w
yx0 2yx
w
1
the dark spanned by BrO3 and SO3 0. We
believe that we have established fundamental aspects
of the light sensitivity of the system. We have also
tried to give some discussions on the reaction mech-
anisms accounting for our observation. The role of
sulfite employed here as the reductant is interesting
in that it could produce HBrO2 by the reaction with
BrOy3 to enhance the oxidation of the system, as
well as it could reduce HBrO2 to produce Bry to
prevent the autocatalytic oxidation of the system.
Although the present discussion is only qualitative in
nature, it must be a starting point for a more eluci-
dated quantitative theoretical treatment, which should
clarify the twofold action of sulfite in more detail.
w
yx
which is independent of BrO3 . Although this dis-
cussion is rather intuitive without rigorous mathe-
matical foundation, we believe that a relation such as
Ž .
7 should correspond to the observed independence
of the RSSrOSC bifurcation line on BrO3
certain range of the latter.
w
yx0
in a
Under illumination, the RSSrOSC bifurcation in
w
2yx
Fig. 5 occurs at SO3 0 f1.5 mM, completely in-
dependent of the light intensity. Similarly in Fig. 4,
w
yx
the OSCrRSS bifurcation occurs at BrO3 0 f80
mM, nearly independently of the light intensity. This
Ž .
is understandable if step 1 is ideally rate-determin-
ing; the initiation of autocatalysis is controlled in the
same way as in the dark. The illumination excites a
2q
Ž
.
part of Ru bpy
to its excited state, increasing the
Ž .3
References
rate of step 2 . However, this has no effect on the
rate-determining step 1 . The bifurcation is con-
trolled by the competition between 1 and 3 with-
out any effect of illumination.
Ž .
w x
1
P. Gray, S.K. Scott, Chemical Oscillations and Instabilities;
Non-linear Chemical Kinetics, Oxford Univ. Press, New
York, 1990, Chap. 14.
Ž .
Ž .