136
Chemistry 1983
absorption confers on Prussian Blue its characteristic blue color. The interva-
lence absorption is at longer wave length for species I than for Prussian Blue
because the two iron sites in the latter are not substitutionally equivalent. This
leads to a ground state energy difference which is then added to that associated
with the Franck-Condon barrier when the process is induced by a quantum of
light.
One of my main interests in the field of mixed valence molecules has been to
explore and to try to understand the energetics of the systems. I will illustrate
by a single example the kind of conclusion which we have reached in pursuing
these interests and where we have relied on theory introduced into the field by
Hush (85), by Mulliken (90), and for the correlation of extent of electron
delocalization with electronic structure, Mayoh and Day (91), and choose for
illustration the localized mixed valence molecule (92)
The stability conferred on the ground state of the molecule by charge delocali-
zation is only of the order of 50 cal, far below the upper limit of 5
× 10
2
cal set by
the electrochemical results, which measure the total stabilization of the mixed
valent compared to the isovalent state. When the nuclear coordinates about
each center are adjusted so that the Franck-Condon condition is met, the
energy separating the bonding and anti-bonding states which arise from elec-
tron delocalization is calculated as 2.2 kcal (93). This is taken to be sufficient to
ensure adiabatic transfer (94) in agreement with the conclusion reached in the
course of studying intramolecular electron transfer in Co(III)-Ru(II) systems
with 4,4’-bipyridine and related molecules as bridging ligands (76). If electron
transfer is assumed to be adiabatic, the specific rate for intramolecular electron
transfer is calculated as 3
× 10
8
s
-1
, in reasonable agreement with an estimate
( l . 6
× 1 0
8
s
- 1
) reached from measurements of intermolecular electron transfer
rates for pyrinedinepentaammineruthenium species (95).
Mixed valence molecules have been prepared (96) which are delocalized
even though the bridging group is so large that direct metal-to-metal orbital
overlap cannot be responsible for the delocalization. These have remarkably
interesting properties in their own right, and are the subject of current studies
(97).
CONCLUDING REMARKS
In this paper I have focussed rather narrowly on electron transfer reactions
between metal complexes. The separation of this subclass from other possible
ones which can be assembled from the reactant categories: metal complexes,
organic molecules (98) molecules derived from other non-metallic elements,
any of the above in excited states (99, 100), electrodes, is not totally arbitrary as
it might be were it dictated solely by limitations of space. Admittedly, all the
possible electron transfer processes are governed by the same principles, at
least when these are stated in a general enough way. But as these principles
H. Taube
137
manifest themselves in the different subclasses, the descriptive chemistry can
be quite different, and these differences are the fabric of chemistry. The
subclass which has been treated has perhaps been the most thoroughly studied,
yet, as the article by Sutin shows (36), our understanding at a basic level is far
from complete. Even for the much studied Fe
3+
/Fe
2+
self exchange reaction,
which served to introduce this subject, the important question of whether the
reaction is adiabatic or not has not been settled to everyone’s satisfaction. Still
a great deal of progress has been made. The descriptive matter has increased
enormously since 1940, and our understanding of it, both in scope and depth,
has more than kept pace with observations. A great deal of progress has also
been made in many of the other subclasses - for example in the study of
electrode processes, and in “atom transfer” reactions (as a specific case the use
of transition metal species to carry the oxidizing capacity of O
2
to a substrate
such as an organic molecule).
Both are of the greatest importance in industrial applications, and the latter
also in reaching an understanding of the chemistry of living cells. Because the
subclasses are interrelated, progress in one leads to progress in another.
ACKNOWLEDGEMENT
Many of the co-workers who have contributed to progress in the subject of this
article are cited in the references, and this is an implicit acknowledgment of
their contributions. Because this account is incomplete, others who have contri-
buted directly to this work have not been cited, nor still others who have had
interests that are not reflected in the account I have given. I am grateful to
them all for the help they have given, and for what I have learned in the course
of working with them. The nature of the contributions made by my co-workers
is not evident either from the acknowledgment I have made, nor from my
expression of gratitude. I need to add that I have always relied on the
independence of my co-workers and to a large extent my contribution to the
effort has been that of maintaining continuity.
I also wish to acknowledge financial support of my research by the agencies
of the U. S. Government, beginning with the Office of Naval Research in about
1950. Later, I derived partial support from the U. S. Atomic Energy Commis-
sion, and still later from the National Science Foundation and the National
Institutes of Health (General Medical Sciences). The Petroleum Research
Fund of the American Chemical Society has also been a source of research
support.
138
Chemistry 1983
REFERENCES
with the specific rates of the component “self exchange” reactions Fe
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(35) Consider the process:
I
II
H. Taube
139
State I is the precursor complex; in state II the energy is independent of whether the electron
is on atom A or B, i. e., the Franck-Condon condition has been met. In adiabatic transfer,
electron delocalozation is great enough so that whenever state II is reached, electron transfer
can take place, and the rate of the chemical reaction is determined solely by the rate at which
state II is reached. In non adiabatic transfer, the system passes through state II a number of
times before electron transfer occurs, and both the Franck-Condon barrier, and the rate of
electron transfer in state II are rate determining.
(36) Sutin, N., p 441 of ref. 1.
(37) Orgel, L. E., Rept X
e
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(40) Zwickel, A. M.; Taube. H., J. Am. Chem. Soc. (1959) 81, 2915.
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(46) Espenson, J. H., J. Am. Chem. Soc. (1967) 89, 1276.
(47) Price, H. J.; Taube, H., Inorg. Chem. (1968) 7, 1
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(49) Fronaeus, S.; Larsson, R., Acta Chem. Scand. (1962) 16, 1447.
(50) Espenson, J. H.; Birk. J. P., J. Am. Chem. Soc. (1965) 87, 3280; ibid, (1968) 90, 1153.
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(55) Espenson, J. H.; p. 189 of the volume of ref. 1.
(56) Last in the series. Fraser, R. T. M. and Taube, H., J. Am. Chem. Soc. (1961) 83, 2239
(57) I owe my associates during my first years at Stanford an enormous debt of gratitude for
helping to set the record straight. Special thanks are due to E. S. Gould, who first uncovered
discrepancies, and to J. K. Hurst who repeated much of the dubious earlier work.
(58) Nordmeyer, F. R.; Taube, H., J. Am. Chem. Soc. (1966) 88,4295; ibid (1968) 90, 1162.
(59) The relation between reducibility of the ligands, and their effectiveness in mediating electron
transfer was developed in an earlier paper. Gould, E. S.; Taube, H., J. Am. Chem. Soc. (1964)
86, 1318.
(60) Sebera, D. K.; Taube, H., J. Am. Chem. Soc. (1961) 83, 1785.
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Chem. (1965) 4, 437.
(63) Gleu, K.; Breuel, K., Z. Anorg. Allg. Chem. (1938) 237, 335.
(64) Gaunder, R.; Taube, H., Inorg. Chem. (1970) 9, 2627.
(65) Anderson, A.; Bonner, N. A., J. Am. Chem. Soc. (1954) 76, 3826.
(66) Indirect evidence, which is quite convincing, suggests the outer sphere self exchange rate for
to be ~ 5 x 1 0
- 1 0
M
- 1
s
- 1
. M e l v i n , W . S . ; H a i m . A . , I n o r g . C h e m .
(1977) 16, 2016.
(67) Meyer, T. J.; Taube, H., Inorg. Chem. (1968) 7, 2369.
(68) Stynes, H. D.; Ibers, J. A., inorg. Chem. (1971) 10, 2304.
(69) Calculations of the barrier associated with inner sphere electron reorganization leave room for
a non-adiabaticity factor of a few orders of magnitude. See Endicott, J. F.; Krishan, K.;
Ramasami, T; Rotzinger, F. P., p 141 of ref. 1.
(70) Isied, S. S.; Taube, H., Inorg. Chem. (1976) 15, 3070.
(71) Meyer, T. J.; Taube, H., Inorg. Chem. (1968) 7, 2361.
(72) Harrison, D. E.; Taube, H., J. Am. Chem. Soc. (1967) 89, 5706.
(73) Robson, R.; Taube, H., J. Am. Chem. Soc. (1967) 89,6487; French, J.; Taube, H., J. Am.
Chem. Soc. (1969) 91, 6951, earliest example: Saffir, P., J. Am. Chem. Soc. (1960) 82, 13.
140
Chemistry 1983
(74) Hoffman, M. Z.; Simic, M., J. Am. Chem. Soc. (1972) 94, 1957.
(75) (a) Isied, S. S., J. Am. Chem. Soc. (1973) 95, 8198.
(b) In an earlier effort, Kirk Roberts tried the simple procedure of mixing the Co(III)
complex with (NH
3
)
5
R u O H
2
2+ 2+
Substitution is too slow relative to intramolecular transfer for
.
the method to work in these systems.
(76) Fischer, H.; Tom, G. M.; Taube, H., J. Am. Chem. Soc. (1976) 98, 5512.
(77) Schäffer, L. - work in progress.
(78) Dixon, N. E.; Lawrance, G. A.; Lay, P. A.; Sargeson, A. M., Inorg. Chem. (1983) 22, 846.
(79) Gaswick, D. G.; Haim. A., J. Am. Chem. Soc. (1974) 96, 7845.
(80) Haim, A. see p 273 of ref. 1.
(81) Winkler, J. R.; Nocera, D. G.; Yocom, K. M.; Bordignon, E.; Gray, H. B., J. Am. Chem. Soc.
(1982) 104, 5798.
(82) Isied, S. S.; Worosila, G.; Atherton, S. J., J. Am. Chem. Soc. (1982) 104, 7659.
(83) The level of current activity in the field can be gauged by the recent review of the subject of
mixed valence molecules based on
couples by C. Creutz: see ref. 1, p 1.
(84) Allen, G. C.; Hush, N. S., Prog. Inorg. Chem. (1967) 8, 357.
(85) Hush, N. S., Prog. Inorg. Chem. (1967) 8, 391.
(86) Robin, M. B.; Day, P., Ad. Inorg. Chem. Radiochem (1967) 10, 247.
(87) Creutz, C.; Taube, H., J. Am. Chem. Soc. (1969) 91, 3988; ibid (1973) 95, 1086.
(88) Cowan, D. 0.; Kaufman, F., J. Am. Chem. Soc. (1970) 92, 219.
(89) Ford, P.; Rudd, de F. P.; Gander, R.; Taube, H., J. Am. Chem. Soc. (1968) 90, 1187.
(90) Mulliken, R. S.; Person, W. B., Molecular Complexes; Wiley, New York (1969) Chapter 2.
(91) Mayoh, B.; Day, P., J. Am. Chem. Soc. (1972) 94, 2885; Inorg. Chem. (1974) 13, 2273.
(92) Tom, G. M.; Creutz, C.; Taube, H., J. Am. Chem. Soc. (1974) 96, 7828.
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H., Inorg. Chem. (1981) 20, 3125.
(94) Sutin, N., Inorganic Diochemistry, Vol. 2, G. L. Eichhorn, Ed., American Elsevier, N. Y.
(1973), p611.
(95) Brown, G. M.; Krentzien, H. J.: Abe, M.; Taube, H., Inorg. Chem. (1979) 18, 3374.
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(97) Spectroscopic studies by J. Ferguson and co-workers (Australia National University) are in
progress.
(98) Sheldon, R. A.; Kochi. J., Metal Catalyzed Oxidations of Organic Compounds. Academic
Press, New York, 1981.
(99) Ford, P.; Wink, D.; Dibenedetto, J., p 213 ofref. 1.
(100) Meyer, T. J., p 389 of ref. 1.
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