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mixture. After the addition of one equivalent of nBu4NX, the
below 0.4 cm3 molꢀ1 K, indicating intermolecular antiferro-
magnetic interactions.[6d,12c,13b]
spectra of the mixture remain unchanged even upon adding
three equivalents of halide. This behavior suggests that only
one halide ion can bind to the [Cu3O3] cluster. X-ray
diffraction studies of single crystals of 3·Br·2OTf and
3·I·2OTf confirm that a single halide atom bridges the three
copper centers of each cluster, with the triflate anions
remaining outer-sphere (Figure 1). Based on the 1H NMR
spectra, it is likely that these halide-capped structures are
preserved in acetonitrile solution. Similar halide-bridged
clusters have previously been observed in tricopper(II)
complexes of other ligand systems.[12]
The intramolecular exchange coupling was modeled for a
triangle of S = 1/2 centers, and the energies of the spin states
of the systems were calculated using the isotropic spin
Hamiltonian [Eq. (1)]. The fits were not significantly
improved by varying two coupling constants. As a result, it
was assumed that J = J13 in an approximately equilateral
arrangement of the copper(II) centers. Application of the Van
Vleck equation yields the magnetic susceptibility equation
[Eq. (2)].[17]
H ¼ ꢀ2 J½ðS1 S2Þ þ ðS2 S3Þꢁꢀ2 J13ðS3 S1Þ
ð1Þ
ð2Þ
Alkoxo-bridged tricopper(II) clusters with similar
[Cu3O3] motifs are known, but generally form by self-
assembly of mononuclear copper(II) moieties.[12a,13] The
magnetic behavior of these complexes has been studied
because spin-frustrated triangular complexes may exhibit
interesting ground states. It has been shown that varying the
anion bridges of linear[14] and triangular[15] trinuclear cop-
per(II) complexes changes the magnetic coupling, but no
systematic study has been reported of these effects on m-
alkoxo-bridged trimers lacking a strongly m3-coordinated
ligand.[12a,16] Since the synthesis of anion variants of the
tricopper(II) complexes supported by the trinucleating ligand
L described above is facile, a magnetostructural investigation
of the effect of the capping anion the [Cu3O3N6] core was
performed.
The variable-temperature magnetic susceptibilities of
compounds 2 and 3 were studied, and plots of cM T vs. T are
shown in Figure 2. For 2·PO4, the cM T value at 300 K is close
to 1.2 cm3 molꢀ1 K as expected for three nearly independent
S = 1/2 centers. The room temperature cM T values for the
other complexes are below 1.2 cm3 molꢀ1 K due to antiferro-
magnetic exchange between the copper centers. The slope of
these curves decreases at low temperatures, with most
approaching a plateau around cM T= 0.4 cm3 molꢀ1 K, which
agrees with the spin-only value for an S = 1/2 system. When
cooled below 20 K, 2·3OTf and 2·3BF4 have cM T values
ꢀ
ꢁ
Ng2b2
5 þ expðꢀ3J=kTÞ
cM
¼
4kðT ꢀ qÞ 1 þ expðꢀ3J=kTÞ
The fitted magnetic susceptibility parameters for each
complex are shown in Table 1. Except for 2·3BF4,[18] the fits
[19]
(R ꢂ 10ꢀ4
)
were obtained by varying only J, g, and the
Curie–Weiss parameter q.[20]
Table 1: Magnetic susceptibility and structural parameters.
Compound
Cu-O-Cu angle [8]
J [cmꢀ1
]
g
q [K]
2·PO4
2·3OTf
2·3BF4
114.6–118.5
125.9–126.5
–
ꢀ2.7
ꢀ52.0
ꢀ52.2
ꢀ22.0
ꢀ7.3
2.09
2.10
2.10
1.95
1.98
1.7
ꢀ0.6
ꢀ1.6
1.0
3·I·2OTf
3·Br·2OTf
116.7–120.8
116.1–118.5
0.8
The above data show that the antiferromagnetic exchange
between spins varies considerably with the character of the
coordinated anion. Triangular copper(II) complexes that
couple through m3-hydroxy or m3-oxo groups display the
strongest antiferromagnetic interactions in structures with
large Cu-O-Cu angles, where the bridged clusters are more
planar.[15a,b,16,21] Since compounds 2 and 3 contain more
weakly coordinated capping anions, exchange between cop-
per(II) centers is expected to occur primarily through the m-
alkoxo moieties. This is consistent with the fact that com-
plexes 3·Br·2OTf and 3·I·2OTf display antiferromagnetic
exchange and have longer Cu–halide bonds (by ca. 0.4 ꢀ)
compared to trinuclear copper complexes with m3-halide
ligands in which ferromagnetic exchange is proposed to occur
through the m3-halide.[15b] Furthermore, the complexes con-
taining the least coordinating anions in the series, 2·3OTf and
2·3BF4, show the largest exchange.
The facially coordinated capping ligand distorts the
geometry of the [Cu3O3] core and changes the Cu-O-Cu
angles (Table 1). As the capping ligand binds more strongly,
the [Cu3O3] core distorts from a planar geometry by decreas-
ing the Cu-O-Cu angles; this correlates with a weakening of
antiferromagnetic exchange. This behavior is consistent with
the solid- and solution-state EPR spectra of 2·PO4 at temper-
atures below 20 K, which show the expected signal at g ꢂ 2
corresponding to the S = 1/2 state as well as a broad lower
field signal proposed to arise from a S = 3/2 state (Supporting
Figure 2. Plots of cM T vs. T for compounds 2 and 3 at an applied field
of 0.5 T. Solid lines represent the best fits obtained.
1670
ꢀ 2011 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim
Angew. Chem. Int. Ed. 2011, 50, 1668 –1672