The EPR spectrum in frozen solution (Supporting informa-
tion, Figure S11) shows pronounced rhombic splitting with
g = (2.016, 1.935, 1.885), which is similar to those of the
Rieske-type proteins[21–23] and the related model complex.[6]
This result is in line with expectation as the g anisotropy is
mainly determined by the properties of the FeII sites of the
mixed-valent dimers,[22,23] which all have comparable {S2N2}-
coordination. However, the average g value of 2 (gav = 1.96) is
significantly closer to the free-electron value (g = 2.0023) than
those of the Rieske centers and the model compound (gav =
1.91 and 1.92, respectively). Mouesca and Orio have pointed
out that this behavior indicates significant partial valence
delocalization.[23]
delocalization is particularly clear for the FeIII subspectrum,
the isomer shift of which (dI = 0.47 mmsÀ1) clearly exceeds
that of the corresponding {FeIII}2 compound 1 (d = 0.27 mmsÀ1
at 4.2 K). The empirical correlation[24] d(x) = [1.43–
0.40x] mmsÀ1, found for d and the oxidation number (x) of
{FeS4} units, would predict a difference of 0.4 mmsÀ1 for fully
localized FeIII and FeII sites (I) and (II), whereas for 2 we find
only half as much (0.2 mmsÀ1).
The actual mixing of the electronic configurations [Fe2+-
Fe3+] (“A”) and [Fe3+-Fe2+] (“B”) was determined from a
comparison of the isomer shifts and magnetic hyperfine data
with those of the Rieske cluster and of the closely related
trianion [Fe2S2(DMBB)2]3À (A) (DMBB = dimethylmethane-
bisbenzimidazolato).[21,25] Since A and 2 show almost identical
Mçssbauer parameters,[9,12] we also adopt the same 20%
valence mixing for the partially delocalized states “A” and
“B” of 2 (coefficients a2 = 0.8, b2 = 0.2).[9] However, in
contrast to this similarity, the splitting of the spin doublet
ground state and the quartet excited state found for 2 deviates
considerably from that reported for A (DS = 402 cmÀ1 vs.
105 cmÀ1). We tend to assign the deviation to low accuracy of
the measurement of A (an intricate analysis of paramagnetic
relaxation rates).[9]
The zero-field Mçssbauer spectrum recorded at 4.2 K
(Figure 4, bottom) shows a superposition of two distinct
quadrupole doublets (I and II), as expected for a mixed-valent
dimer with fast spin relaxation in the solid state (collapsed
paramagnetic hyperfine splitting). The parameters, however,
dI = 0.47 mmsÀ1,
DEQI = 1.41 mmsÀ1,
dII = 0.69 mmsÀ1,
DEQII = 2.90 mmsÀ1, deviate from those expected for
valence-trapped FeIII and FeII ions in quasi tetrahedral
{S2N2}-coordination and indicate appreciable mixing of FeII
and FeIII characters for the individual sites. The partial
The magnetic and spectroscopic properties of 2 can be
rationalized by using
a phenomenological model that
describes the energies of the spin states of a mixed-valent
iron dimer in terms of the exchange coupling constant J, a
double exchange parameter B accounting for delocalization,
and an effective energy difference DAB of the configurations
“A” and “B” that summarizes the charge-localizing interac-
tions due to static site differences as well as vibronic coupling.
The corresponding double-exchange Hamiltonian[9,12,13,15,26]
cannot be solved with experimental data for only two
variables,[9] Jeff and a2. However, if in addition we adopt B =
700 cmÀ1 as determined by DFT calculations,[23] we can fit
parameters and obtain J = À341 cmÀ1, and DAB = 1050 cmÀ1.
The exchange coupling constant is in good agreement with J =
À360 cmÀ1 estimated from an analysis of the covalency in
[2Fe-2S]1+ clusters using ligand K edge X-ray absorption
spectroscopy.[27] Moreover, this set of parameters is consistent
with Mouesca and Orio’s combined DFT and EPR analysis
for [2Fe-2S]1+ clusters.[23] Our results predict an intervalence
band at 1750 cmÀ1 (5714 nm).[28] Apparently such transitions
are difficult to detect, and we didn’t find it for 2, but the result
rules out previous tentative assignments of intervalence bands
around 540 nm;[29] such large double-exchange splitting of
total spin states would not be consistent with the S = 1/2
ground state of [2Fe-2S]1+ clusters.
In summary, for the first time we have isolated, crystal-
lized, and thoroughly characterized a synthetic ferredoxin-
type [2Fe-2S] cluster in both relevant oxidation states,
namely the [2Fe-2S]2+ and mixed-valent [2Fe-2S]1+ forms.
Magnetic measurements confirm antiferromagnetic coupling
of the FeII and the FeIII ion in the mixed-valent complex
resulting in an S = 1/2 ground state with Jeff = À134 cmÀ1. This
value provides some solid experimental basis for predicting
the position of the intervalence band in the IR region. The
unpaired electron in the [2Fe-2S]1+ species is partially
delocalized over the cluster core, and the two iron ions are
Figure 4. Zero-field Mçssbauer spectra of 1 recorded at 80 K (top) and
of 2 recorded at 4.2 K (bottom). The solid lines are fits with Lorentzian
doublets to the experimental values using the following isomer shifts
and quadrupole splittings: d=0.24 mmsÀ1, DEQ =0.87 mmsÀ1 for 1,
and d=0.47 mmsÀ1, DEQ =1.41 mmsÀ1 for the “FeIII” contribution
and d=0.69 mmsÀ1, DEQ =2.90 mmsÀ1 for the “FeII” contributions of
2, respectively.
Angew. Chem. Int. Ed. 2011, 50, 9191 –9194
ꢀ 2011 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim
9193