R. Mukherjee et al. / Inorganica Chimica Acta 360 (2007) 3633–3636
3635
Table 3
Kinetic parameters pertaining to reductions of substituted pyridine derivatives of (NH
a
3
)
5
Ru(III)
3+
b
eq
ꢀ4
ꢀ1 ꢀ1
ꢀ7
ꢀ2 ꢀ1
s )
Oxidant, [Ru(NH
3
)
5
Lig]
K
10
k
1
(M
s
)
10
k
2
(M
Lig = 4-benzoylpyridine
104 ± 35
118 ± 38
100 ± 22
102 ± 19
114 ± 6
ꢀ
3.1 ± 0.1
2.4 ± 0.1
3.1 ± 0.1
2.4 ± 0.1
0.43 ± 0.01
2.8 ± 0.2
1.80 ± 0.11
6.9 ± 0.6
1.58 ± 0.09
0.43 ± 0.03
4
4
3
-Pyridinecarboxamide
-Acetylpyridine
-Acetylpyridine
Pyridine
III
III
II
IV
+ ꢀ1
Rate = ꢀd[Ru ]/dt = Keq[Ru ][Ti ][Ti ][H ] (k
1
+ k
2
[F ]).
a
Reactions at (22.5 ± 0.5) ꢁC. l = 0.50 M (CF
II IV
Formation constant for Ti Ti (OH); Keq ¼ ½TiII
3
SO
3
H + CF
½Ti Ti ðOHÞꢁ
3
SO
3
Na).
II IV
b
IV
þ
ꢀ1
.
ꢁ½Ti
ꢁ½H ꢁ
3
+
For the most rapid oxidant examined. [Fe(o-phen) ]
,
have been documented, it has been estimated to lie well
3
6
ꢀ1 ꢀ1
only a lower limit, 1.5 · 10 M
s
could be evaluated.
Rate laws and kinetic parameters for reductions of
Fe(III) species by Ti(II) and Ti(III) are compared in Table
above 0.1 [14]. A KA value near unity (not unreasonable)
5
ꢀ1 ꢀ1
then implies a rate constant near 10 M
s
for the pro-
tonated path.
2
. Note that these reactions are quite insensitive to added
Reductions of the substitution-inert Ru(III) species are
kinetically more complex. Rate law (5) is consistent with
a competition between two reaction paths differing by a
single fluoride. Both activated complexes feature, in addi-
tion to the redox partners, a unit of Ti(IV) and (from the
halide and Ti(IV).
In contrast, the reductions of Ru(III) derivatives of
substituted pyridines (Tables S3–S7) are markedly acceler-
ated by both added fluoride and added Ti(IV), with the
Ti(IV)-dependence exhibiting kinetic saturation a high con-
centrations of this state (Table S2). Moreover, they are
inhibited by increases in acidity. The fluoride dependences
+
inverse-[H ] term) the loss of a proton. If the intervention
II
IV
of a Ti –Ti (OH) complex is assumed, an estimate of its
stability constant may be carried out by measurements at
ꢀ
IV
point to a kinetic contribution of a F containing path. At
high [Ti ] values, where the approach to kinetic saturation
[
Ti(IV)] well below the saturation region, reactions in this
is most pronounced. Data for the 4-benzoylpyridine oxi-
dant (Table S2) yield K = 104 ± 33 for this species. Analo-
gous treatments for the remaining Ru(III) oxidants give
similar values (Table 3).
group proceed according to rate law (5)
III
rate ¼ ꢀd½Ru ꢁ=dt
III
II
IV
þ ꢀ1
ꢀ
Kinetic data for reductions of Ru(III) complexes,
¼
K½Ru ꢁ½Ti ꢁ½Ti ꢁ½H ꢁ ðk þ k ½F ꢁÞ
ð5Þ
1
2
(Tables S3–S7) when refined in terms of rate law (5),
II
IV
where K pertains to the formation of a 1:1 Ti –Ti com-
plex, active in its deprotonated form. Calculated rates (in
parantheses) are compared to observed values at the right
of these tables. Rate and equilibrium constants obtained
from refinement of the Ti(II)–Ru(III) data are collected
in Table 3.
yield rate and equilibrium constants summarized in Table
3.
The modest rate increases arising from substituting
keto groups or the –CONH2 function on the pyridine
ring are comparable to those reported for the correspond-
ing reductions by Ti(III) [13], and many orders of magni-
tude less marked than those (five to seven powers of 10)
4
. Discussion
in the analogous Co(III)–Cr(II) and Co(III)–Eu(II) series
III
[
15]. The very large accelerations observed in the Co
Our experiments yield no evidence of inner-sphere paths
systems have been taken as evidence of electron transfer
via preliminary reduction of the carbonyl-bearing substit-
uents. Here, however, we see only slight enhancements
reflecting electron withdrawal from the oxidizing Ru(III)
center.
in these reductions by Ti(II). The very rapid Fe(III) oxi-
ꢀ
3þ
3+
dants, Fe(EDTA) , FeðCNÞ , and [Fe(o-phen)3] , are
6
substitution-inert, and the most reactive of this trio, the
phenanthroline derivative (k > 10 M
6
ꢀ1 ꢀ1
s ) is devoid of
bridging ligands. Its high reactivity may be reasonably
attributed to a combination of its very positive oxidation
potential (+1.14 V) and the relatively low Franck–Condon
barrier associated with passage of an electron to a highly
conjugated system.
The most notable feature of this study is the substantial
redox catalysis by titanium(IV). This cannot reflect coordi-
nation of the Ti(IV) center to the carbonyl oxygens of the
oxidants, for it remains (Keq virtually unchanged) with the
unsubstituted pyridine derivative.
3ꢀ
Two paths are evident for reaction of FeðCNÞ . The
Neither can it arise from preliminary comproportiona-
6
+
II
IV
III
[
H ]-proportional contribution pertains to reduction of
tion (Ti + Ti ! 2Ti ), yielding a more reactive Ti(III)
species, since our Ti(II) solutions undergo no perceptible
change when treated with externally prepared Ti(IV) in
excess. More significantly, early measurements dealing
with the reductions of these Ru(III) complexes by inde-
2
+
the protonated oxidant, [HFe(CN)6] . The bimolecular
rate constant for this route may, in principle, be calculated
4
ꢀ2 ꢀ1
by multiplying our kH value (8.6 · 10 M
s ) by K for
A
this dipositive species. Although this KA appears not to