resulting DG is more negative as well. The difference of the
DH values for instance between 1a and 3a (the molybdenum
compound with a redox potential most closely to that of 1a) is
about 133 kJ mol−1 as can be calculated from the Gibbs equation
with the knowledge of the DS values and the relation between
DG and the redox potential. The reason for this particular
behaviour has to be the electron withdrawing effect of the
CN groups at the dithiolene, which reduces electron density
at the dithiolene group and eventually at the metal centre, thus
facilitating reduction. In contrast to the other complexes for
compounds 1a and 1b the reduced is the more stable form (redox
potentials referenced vs. NHE are positive) and an unrestricted
distribution of electrons in a system solely driven by the enthalpy
would lead to a complete reversion of the oxidized to the reduced
form. This would mean a minimum of disorder to which DS
for the reduction process is likely to be opposed and therefore
negative, as can be observed here. For the other compounds the
non-innocence is manifested in an electron distribution to the
metal (see Fig. 3) and therefore in a facilitated oxidation. This
matches a redox potential referenced vs. NHE that is negative.
Such a system solely driven by the enthalpy would lead to a
complete reversion of the reduced to the oxidized form, resulting
in a minimum of disorder to which the entropy is opposed.
Therefore DS for the reduction process, which increases the
disorder, is positive.
The virtual cross-points of the graphs for 2a and 2b and 3a
and 3b are in temperature regions that have no significance for
any form of life; that for 1a and 1b (at calculated −31 K) does not
even exist. But the cross-point for the graphs of 4a and 4b, the
models that resemble the natural enzymes active sites closest, is
at 343 K (70 ◦C) and hence in a region in which usually tungsten
is used within the active sites of the molybdopterin containing
enzymes. For these model compounds the usual characteristic
that the redox potential for the molybdenum compound is more
positive than that for the tungsten compound is reversed at
temperatures above 70 ◦C. This could be an indication for a
redox property related change of metal within molybdopterin
containing enzymes. It should be noted though that the redox
potentials for 4a and 4b are only separated by a minimum of
30 mV even at 25 ◦C, and thus the redox potential may not be
the main reason for the incorporation of either of the two metals.
In all cases the gradient of the tungsten compound is of greater
value than that for the corresponding molybdenum compound,
meaning that the tungsten compounds’ response to temperature
change is always more drastic than that of the molybdenum
compound. The stronger dependence on the temperature of
the redox potentials of the tungsten compounds seems to be a
disadvantage with respect to the function of the enzymes unless
of course the response of the substrates redox potentials is about
equal to that of the respective tungsten enzyme.
therefore in a temperature region in which organisms usually
utilize tungsten instead of molybdenum. This may hint at a
change of metal within molybdopterin containing enzymes
caused by a reversal of the usual order (E1/2(Mo) > E1/2(W)) for
the redox potentials of the metal sites at a certain temperature.
But because even at 25 ◦C the redox potentials of 4a and 4b are
exceptionally close together it can not yet be concluded that this
reversal would be the main reason for the metal exchange within
theses enzymes.
The cross-points of the other three pairs are in temperature
regions that are of no importance for any kind of life or
even do not exist (<0 K for 1a and 1b) indicating that the
pyrane subunit of the natural molybdopterin ligand plays an
important role with respect to the tuning of the enzymes redox
potentials. Whether this is generally valid will be explored
further by the synthesis and electrochemical examination of
more pyranedithiolene ligands and their respective molybdenum
and tungsten complexes.
The gradients of the linear fits of the tungsten compounds
redox potentials are in every case of greater value (positive
or negative) than those of the molybdenum compounds. Their
redox potentials are more susceptible to temperature change
than those of the molybdenum complexes. Should this also be
the case within the molybdopterin enzymes, this characteristic
would probably be unfavourable unless the substrates potentials
behave in similar ways. This will be the subject of further
investigations.
Acknowledgements
Generous financial support by the DFG (Deutsche Forschungs-
gemeinschaft) and the Institut fu¨r Anorganische Chemie, Georg-
August-Universita¨t Go¨ttingen is gratefully acknowledged as
well as the opportunity that Prof. Felix Tuczek, Institut
fu¨r Anorganische Chemie, Christain-Albrechts-Universita¨t Kiel
gave me to start this work in his group.
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The redox potentials of 4a and 4b (the compounds that
include the pyrane subunit of the molybdopterin l◦igand) are
exceptionally close together with a difference at 25 C of only
30 mV. The cross-point of their linear fits is at 343 K (70 ◦C) and
D a l t o n T r a n s . , 2 0 0 5 , 7 1 3 – 7 2 0
7 1 9