Table 2 Rate laws and kinetic parameters for reductions of Co(C2O4)33−a
Red
Rate law
Parameters
Fe(II)
Ti(III)
k[CoIII][FeII]
k[CoIII][TiIII][(k0 + k/[H+])
k = 35 ± 1 M−1 s−1
k0 = (1.5 ± 0.2) × 102 M−1 s−1
k = (56 ± 3) s−1
V(III)
k[CoIII][VIII](k0 + k/[H+])
k0 = (1.3 ± 0.1) × 10−2 M−1 s−1
k = (4.3 ± 0.2) × 10−3 s−1
In(I)c
V(II)
k[CoIII][InI]
k[CoIII][VII]
k = 10.4 ± 1.3 M−1 s−1b
k = 2 × 104 M−1 s−1b
[CoIII ][SnII ](k3K3[Cl− ]3 )
1+ K1[Cl− ] + k2[Cl− ]2 + K3[Cl− ]3
Sn(II)
k3 = (0.41 ± 0.01) M−1 s−1
K1 = 11.2; K2 = 32; K3 = 14
[CoIII ][GeII ]kK[Cl− ]
1+ K[Cl− ]
Ge(II)
k = (2.01 ± 0.03) M−1 s−1; K = 0.20
Ti(II)d
Ga(I)
[CoIII][TiII](k0 + a/[H+] + b/[Cl−])
k[CoIII][GaI]
k0 = (62 ± 2) M−1 s−1
a = (6.1 ± 0.5) s−1; b = (3.3 ± 0.4) s−1
k > 200 M−1 s−1
a Reactions were carried out at 22.0 ± 0.5 °C; l = 0.50 M (HCl/NaCl) unless otherwise indicated; k = 603 nm. b Ref. 15. c l = 0.050 M. d l = 1.0–1.2 M.
Here and elsewhere2–4 those reductions of FeIII, CoIII, or IrIV
References
1 Z. Yang and E. S. Gould, Dalton Trans, 2004, 1858.
by 2e− donors which exhibit exponential profiles have been taken
to proceed via two-step sequences such as (11) + (12), in which
2 S. K. Chandra and E. S. Gould, Inorg. Chem., 1996, 35, 3881.
the rate constant associated with the odd electron transient
3 O. A. Babich and E. S. Gould, Inorg. Chem., 2000, 39, 4119.
(e.g., GeIII) is much greater than that for the parent reductant.
4 S. Swavey, V. Manivannan and E. S. Gould, Inorg. Chem., 2001,
However, direct observation of such intermediates has proved
elusive. In the present study, comparisons of reductions by
Ti(II) with those by Ti(III) (prepared independently) confirm
the reasonableness of this path. Once again, the odd-electron
reductant is found to be the more rapid reactant.
40, 1312.
5 O. A. Babich and E. S. Gould, Inorg. Chim. Acta, 2002, 336, 80.
6 D. Lexa and J.-M. Saveant, Acc. Chem. Res., 1983, 16, 235, report a
formal potential near +0.35 V for (corrin)CoII/IIII at pH 1. Although
values for the Co(NH3)5 series have not been recorded, they are
expected to lie near +0.06 V listed for (NH3)6CoII/III by Hin-Fat and
Higginson7.
Why is reduction by Ti(II) so slow? This cannot be attributed
to an inadequate potential, but if considered on the basis of the
model of Marcus for outer-sphere reactions,18 may instead imply
a very low value for the Ti(III,II) self-exchange rate in our media.
Both TiII (3d2) and TiIII (3d1) are, in principle, subject to minor
Jahn–Teller distortions, but the degree of such distortion and
the occupancy of the non-degenerate orbitals [(one short, two
long) vs. (two short, one long)] would not necessarily match. The
two states might then feature substantially different, geometries,
and this mismatch would presumably be reflected in a higher
Franck–Condon barrier to exchange. Alternatively, partial
olation of TiII centers to unreactive dimeric or higher associated
species cannot be ruled out, although it would not be expected
in the strongly acidic solutions used.
7 L. Hin-Fat and W. C. E. Higginson, J. Chem. Soc. A, 1967, 298.
8 Z. Yang and E. S. Gould, J. Chem. Soc., Dalton Trans., 2002,
3840.
9 M. C. Ghosh and E. S. Gould, J. Am. Chem. Soc., 1993, 115, 3167.
10 R. N. Bose and E. S. Gould, Inorg. Chem., 1986, 25, 94.
11 J. C. Bailar, Jr. and E. M. Jones, Inorg. Synth., 1939, 1, 7.
12 U. Kolle and P. Kolle, Angew. Chem., Int. Ed., 2003, 115, 3167.
13 Values of emax in the range 4–15 M−1 cm−1 may be considered
typical of 3d1 and 3d2 aqua-substituted cations of this type (VIII
7.0, 11.0; TiIII 3.9).
;
14 (a) A. H. Martin and E. S. Gould, Inorg. Chem., 1975, 14, 873;
(b) M. S. Ram, A. H. Martin and E. S. Gould, Inorg. Chem., 1983,
22, 1103.
15 B. Grossman and A. Haim, J. Am. Chem.. Soc., 1971, 93, 6490.
16 R. M. Smith and A. E. Martell, Critical Stability Constants, Plenum,
New York, 1976, vol. 4, pp. 1–6, 109. The pKA value for TiII(aq)
is taken to fall between those for Ca2+(aq) (12.7) and Mn2+ (11.1).
17 W. C. E. Higginson, R. T. Leigh and R. Nightingale, J. Chem. Soc.,
1962, 435.
18 R. A. Marcus, Annu. Rev. Phys. Chem., 1964, 15, 155.
19 For a detailed treatment, see: Standard Potentials in Aqueous
Solution, ed. A. J. Bard, R. Parsons and J. Jordan, Dekker, New York,
1985, pp. 539–546. Substantial variation of this potential by partial
conversion of one or both states to fluoro complexes would not be
expected since [F−] would be very small in the highly acidic media
used.
The ease with which Ti(II) can be prepared12 bears upon the
current uncertainty in the value of Eo(TiIII/TiII).19 Of the two most
frequently cited potentials, we favor −0.37 V forwarded by Forbes
and Hall20 over the much more negative figure −2.1 V suggested
by Oliver and Ross.21 The latter is difficult to reconcile with the
lack of redox activity of Ti(II) with H+ and Co2+ in our systems.
Acknowledgements
We are grateful to the National Science Foundation for support
of this work and to Mrs Arla Dee McPherson for technical
assistance.
20 G. S. Forbes and I. F. Hall, J. Am. Chem. Soc., 1924, 46, 583.
21 J. W. Oliver and J. W. Ross, Jr., J. Am. Chem.. Soc., 1963, 85, 2565.
D a l t o n T r a n s . , 2 0 0 4 , 3 6 0 1 – 3 6 0 3
3 6 0 3