T. Han et al. / Inorganica Chimica Acta 387 (2012) 212–218
217
H = ꢀJSAꢁSB gives a molar magnetic susceptibility expression for the
Ni(II) dimer (SA = SB = 1) according to Eq. (3) [19]
ferromagnetic contribution (JF), leading to the antiferromagnetic
interactions observed in 1 and the ferromagnetic interactions ob-
served in 2 and 3. In addition, the interdimer interactions of 1–3
should be antiferromagnetic, as indicated by the results of 1 and 3.
v0M ¼ ð2Nb2g2=kTÞf½expðJ=kTÞ þ 5 expð3J=kTÞꢃ=½1 þ 3
ꢄ expðJ=kTÞ þ 5 expð3J=kTÞꢃg
ð3Þ
4. Conclusion
The interdimeric magnetic interactions are further considered
by the mean field approximation with the parameteꢀr1zJ0. The
In conclusion, three new isomorphic coordination polymers
containing binuclear magnetic transition metal units are reported.
Magnetic studies of 1–3 demonstrate the varying nature (ferrro/
antiferro) of the magnetic interactions transmitted by the anti–
syn double-bridged carboxylate groups: the Mn(II) ions in 1 are
antiferromagnetically coupled and the Co(II)/Ni(II) ions in 2/3 are
ferromagnetically coupled. In each case, the unique magnetic
behavior depends on the electron configurations of the central
metal ions.
best fit gives J = 3.91 cmꢀ1
,
g = 2.32, zJ0 = ꢀ0.62 cm
, TIP =
0.00016 cm3 molꢀ1 and R = 3.44 ꢄ 10ꢀ5. This result is in accord
with the fitting result obtained using the Curie–Weiss law.
The ferromagnetic interaction is further supported by the mag-
netization curve in 0–7 T at 2 K (Fig. 8(b)). The experimental line
lies between the two calculated curves that correspond to the Brill-
ouin functions for (i) two isolated Ni(II) centers with S = 1, g = 2.32,
and (ii) two ferromagnetic coupled Ni(II) centers with S = 2,
g = 2.32, which is in accord with ferromagnetic interactions.
Acknowledgements
3.3.4. Magneto-structural correlation
In general, a qualitative interpretation of magnetic interactions
in transition metal dimers can be afforded by the well-known
Goodenough–Kanamori rules, according to the interaction between
pairs of natural magnetic orbitals [27–30]. A three-atom bridge
with various coordination modes (syn–syn, syn–anti and anti–anti),
the carboxylate group can transmit ferro/antiferromagnetic inter-
actions between spin carriers with different magnitude based on
the nature of the electron configuration, bridge mode and bond an-
gle/distance. Binuclear complexes/units bridged by carboxylate
groups provide simple useful examples to understand the factors
which influence magnetic properties. It is known that the
syn–syn conformation always cause antiferromagnetic coupling,
as evidenced by the large number of magneto-structural studies
on acetato-bridged dicopper(II) complexes [2]. According to Kahn’s
model, the exchange integral (J) is composed of two terms, one fer-
romagnetic (JF) and one antiferromagnetic (JAF) [31]. The value of JAF
is proportional to the square of the integral overlap. For 1, the five
unpaired electrons of high-spin Mn(II) ion occupy the metal-cen-
tered orbitals with d character in a parallel fashion and the
value of overlap integral is nonzero, which leads to antiferromag-
netic coupling, as observed in many Mn(II) dimers bridged by l1,3
carboxylate groups independent of the bridge modes. It has been
reported that the strength of the magnetic interactions transmitted
This work was supported by the National Natural Science Foun-
dation of China (21151001, 21171100 and 90922032) and the
Fundamental Research Funds for the Central Universities.
Appendix A. Supplementary material
CCDC 801492 and 801494 contain the supplementary crystallo-
graphic data for this paper. These data can be obtained free of
charge from The Cambridge Crystallographic Data Centre via
ated with this article can be found, in the online version, at
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