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R. Modak et al. / Polyhedron 70 (2014) 155–163
These five examples show coupling constants ranging from
9.0
8.5
8.0
7.5
7.0
6.5
6.0
5.5
5.0
moderate antiferromagnetic (À19 cmÀ1) to moderate ferromag-
netic (20 cmÀ1) (Table 3). Unfortunately, in two of these five com-
plexes there is an additional bridge (a water molecule in one case
[61] and a carboxylate bridge in the other [52]) and in two of the
three remaining examples, one of the Ni(II) ions presents a square
pyramidal structure. Therefore, only in one case the two nickel
atoms are octahedrally coordinated as in 1. This lack of examples
similar or close to complex 1 precludes any attempt to establish
a magneto-structural correlation in this kind of double bridge
formed by an O-bridge plus a l-(j
N)-SCNÀ bridge (J1). Fortunately,
the two other coupling constants found in 1 are more easy to ex-
plain since previous magneto-structural correlations have estab-
lished that double O-bridges give rise to ferromagnetic coupling
between Ni(II) ions when the Ni-O-Ni bond angle is below ca.
0
50 100 150 200 250 300
T (K)
98-99° [20,47,48,54–60]. In compound
1 the J2 interaction
(+5.8 cmÀ1) corresponds to a double O-bridge along the side of
the rhomb with an average Ni–O–Ni bond angle of 96.9°, close,
but inside the range for ferromagnetic interaction. In contrast,
the J3 interaction (À3.9 cmÀ1) corresponds to a double O-bridge
along the short diagonal of the rhomb with an average Ni–O–Ni
bond angle of 101.8°, out of the ferromagnetic region. Note that
although the bond lengths also play an important role in determin-
ing the strength of the interaction, in compound 1 these are similar
to those found in many other Ni clusters (Table 3).
Fig. 7. Thermal variation of the
2. Solid line represents the best fit to the model (see text).
v
mT product per MnIII2NiII2 tetramer for compound
The coupling constants found in compound 2 are weak and
antiferromagnetic, in the normal range found in the eight magnet-
ically and structurally reported Mn2Ni2O6 clusters similar to 2,
where the coupling constant values expand from ca. À20 to
20 cmÀ1 (Table 4) [21,23–26,27,61]. As in 1, here again there is
no magneto-structural correlation because only in three of the
eight cases the authors have considered a model with two different
coupling constants along the sides. If we look at these three exam-
ples (MAJZON, SUDWOD and WEFZAK, Table 4) we can see that the
first one presents ferromagnetic NiÁ Á ÁMn interactions whereas in
the other two, these are antiferromagnetic. The average Ni–O–
Mn bond angles in the ferromagnetic cluster MAJZON (97.9° and
99.3°) are very similar to those of the antiferromagnetic cluster
DUSWOD (97.3° and 99.4°) but very different to those of the other
antiferromagnetic cluster WEFZAK (93.2° and 102.6°). These val-
ues, together with the large dispersion observed in other structural
parameters, as the Ni–O and Mn–O bond lengths, preclude the
establishment of any simple magneto-structural correlation be-
tween the J values and the Ni–O–Mn bond angles nor the Ni–O
or Mn–O bond lengths in this kind of tetranuclear clusters. The
main reason for this lack of clear simple correlation may be the
existence of the additional coupling through the short diagonal
of the rhomb (J3) and the presence of a zero field splitting and int-
erclusters interactions (which are included in some of them). Both
parameters may be strongly correlated to the J values, especially
when these are weak, precluding any accurate determination of
their values.
If we do not limit to tetranuclear Mn2Ni2O6 clusters, we can find
up to seven magnetically and structurally characterized additional
examples presenting a Ni-Mn interaction through a double O-
bridge (Table 5) [62–64]. Surprisingly, the magnetic coupling in
these seven complexes ranges from weak antiferromagnetic
(À10.8 cmÀ1) to moderate ferromagnetic (32 cmÀ1). If we analyze
the structural parameters of these bridges we can observe that
the main parameter governing the magnetic coupling seems to
be the Mn–O bond lengths and the Mn–O–Ni bond angles. Thus,
the three compounds presenting ferromagnetic Ni-Mn interactions
are those presenting the largest Ni-O-Mn bond angles (above 101°)
whereas in the four compounds with antiferromagnetic Ni–Mn
couplings these angles are smaller (below 100°). On the other
hand, the three ferromagnetic compounds present short Mn-O
Scheme 3. Magnetic exchange scheme in compound 2.
(except for the change of two Ni(II) ions by two Mn(III) ions), we
have used a similar magnetic scheme (Scheme 3) to fit the mag-
netic properties of 2 using the package MAGPACK [45,46]. The fit
so obtained reproduces very satisfactorily the magnetic properties
of compound 2 in the whole temperature range with the following
parameters: g = 2.032, J1 = J2 = À0.3 cmÀ1 and J3 = À0.7 cmÀ1 (solid
line in Fig. 7). Note that J2 was allowed to vary free but the result-
ing value was equal to J1.
The fitting of the magnetic properties of 1 shows that one of
the exchange coupling constants along the sides of the rhomb
and the one along the short diagonal are antiferromagnetic
(J1 = À43.6 cmÀ1 and J3 = À3.9 cmÀ1) whereas the coupling along
the other side of the rhomb is ferromagnetic (J2 = +5.8 cmÀ1). In
order to rationalize these values, we have searched in the CCDC
database all the reported magnetically characterized Ni4 tetramers
with a similar Ni4O4N2core (Scheme 2, Table 2) [18–20,47–49]. In
the seven cases found, the coupling along the sides (J1 and J2)
and along the short diagonal (J3) of the rhomb are all ferromag-
netic, in contrast to the antiferromagnetic J1 and J3 coupling
constants found in 1. The reasons for this discrepancy can be ex-
plained from the differences in the structures of complex 1 and
of all the other Ni4 tetramers. Thus, in the seven reported Ni4
À
tetramers the N atoms belong to
l
1,1-N3 bridges, which are well
known to give rise to ferromagnetic interactions [50]. In contrast,
in compound 1 the N atom belongs to a -(
l
j
N)-SCNÀ bridge and,
therefore, compound 1 is the first example of a Ni4O4N2 core with
SCN- bridging ligands.
Since there are no precedents in this kind of Ni4 complexes, in
order to estimate the sign and magnitude of such a Ni–Ni interac-
tion through an O-bridge and a
l-(j
N)-SCNÀ bridge, we have
searched in the CCDC database this kind of bridge in Ni clusters
with any nuclearity. There is a total of five magnetically character-
ized Ni complexes containing this kind of bridge (Table 3) [51–53].