1670 Inorganic Chemistry, Vol. 39, No. 8, 2000
Escuer et al.
Table 3. Selected Bond Lengths (Å) and Angles (deg) for
[Mn(bpy)(N(CN)2)2]n (2)
50 K, and tends to zero at low temperature. The øM value
increases continuously on cooling. The magnetic data were
analyzed by means of the analytical expression13 for an infinite
chain of classical spins derived by Fisher:
Mn(1)-N(4)
Mn(1)-N(2A)
Mn(1)-N(1A)
N(2)-C(6)
2.187(4)
2.223(4)
2.255(3)
1.131(5)
1.295(5)
Mn(1)-N(4A)
Mn(1)-N(2)
Mn(1)-N(1)
C(6)-N(3)
2.187(4)
2.223(4)
2.255(3)
1.275(5)
1.128(5)
Ng2â2S(S + 1)
1 + u
N(3)-C(7B)
C(7)-N(4)
ø )
[
][
]
3kT
1 - u
N(4)-Mn(1)-N(4A)
102.1(2)
N(4)-Mn(1)-N(2A)
86.45(14)
90.72(14)
175.5(2)
N(4A)-Mn(1)-N(2A) 90.72(14) N(4)-Mn(1)-N(2)
with
N(4A)-Mn(1)-N(2)
N(4)-Mn(1)-N(1A)
N(2A)-Mn(1)-N(1A) 89.36(13) N(2)-Mn(1)-N(1A)
86.45(14) N(2A)-Mn(1)-N(2)
164.35(12) N(4A)-Mn(1)-N(1A) 93.04(12)
JS(S + 1)
94.28(12)
164.35(12)
89.36(13)
158.7(4)
120.9(4)
161.9(4)
kT
JS(S + 1)
u ) coth
-
N(4)-Mn(1)-N(1)
N(2A)-Mn(1)-N(1)
N(1A)-Mn(1)-N(1)
N(2)-C(6)-N(3)
93.04(12) N(4A)-Mn(1)-N(1)
94.28(12) N(2)-Mn(1)-N(1)
72.2(2)
173.2(5)
174.4(5)
[
]
kT
C(6)-N(2)-Mn(1)
C(6)-N(3)-C(7B)
C(7)-N(4)-Mn(1)
Best-fit parameters were J ) -0.3 cm-1, g ) 1.98; J ) -0.4
cm-1, g ) 2.00 for 1 and 2, respectively. The weak antiferro-
magnetic interaction was confirmed by magnetization measure-
ments at 2 K up to an external field of 5 T. At higher field, the
magnetization in M/Nâ units indicates a quasi-saturated S )
5/2 system for both compounds (Figure 5). Comparison of the
overall shape of the plots with the Brillouin plot for a fully
isolated S ) 5/2 system indicates slower magnetization consistent
with a weak AF interaction. These low J values compare well
with the weak coupling found for the few examples of
dicyanamide or tricyanomethanide compounds measured to date.
EPR spectra recorded on powdered samples at room tem-
perature show an isotropic signal centered at g ) 2.00, with a
peak-to-peak line width of 90 G for 1 and 121 G for 2. In
addition, a weak half-field signal centered at g ) 4.00 was found
for both complexes. The g ) 2.00 signal shows the same line
width at 77 K, increasing slightly at 4 K (∆Hpp ) 200 G). The
room-temperature line width is between those of the sharp
signals (∆Hpp ) 35 G at room temperature) recently reported
for the structurally related compounds with end-to-end azide
bridges,7,14 [Mn(pyOH)2(µ-N3)2]n, [Mn(3-etpy)2(µ-N3)2]n, and
[Mn(3,5lutidine)2(N3)2], and those of the very broad signal
(∆Hpp ) 750 G) reported for the end-on azide-bridged system
[Mn(2-bzpy)(N3)2]n (2-bzpy ) 2-benzoylpyridine).14
N(4)-C(7)-N(3C)
N-pyridine atoms of two 4-benzoylpyridine ligands in trans
arrangement and four N-terminal atoms of dicyanamide ligands.
Two of the dicyanamide ligands act as end-to-end bridging
ligands with one neighboring manganese atom, and the other
two also act as end-to-end bridging ligand with the other
neighboring manganese atom, giving a uniform one-dimensional
system (Figure 1). The bond parameters related to the bridges
are Mn(1)-N(1) ) 2.212(2) Å, Mn(1)-N(3B) ) 2.221(3) Å,
Mn(1)-N(1)-C(1) ) 155.0(2)°, and Mn(1)-N(3B)-C(2B) )
158.8(2)°. The dicyanamide ligand is angular with a C(1)-
N(2)-C(2) angle of 122.3(3)° with two nearly linear N-C-N
units with angles of 173.5(3)° and 171.7(3)°. The shortest
intrachain Mn-Mn distance is 7.584(2) Å (b axis of the cell)
as consequence of the large bridging ligand, whereas the
minimum interchain Mn-Mn is only 6.374(2) Å (a axis of the
cell). Along the c direction the minimum Mn-Mn distance is
14.172(2) Å (Figure 2). The Mn(NCNCN)2Mn ring shows a
slight chair distortion from planarity, with a maximum deviation
of the manganese atoms of 0.212 Å over the plane defined by
the two dicyanamide ligands (angle between the mean plane of
the dicyanamide ligands and the N(1)-Mn(1)-N(3D) plane is
8.0(1)°).
This behavior may be explained by attending to the main
factors15 that influence the line width for an isotropic Heisenberg
one-dimensional system: exchange narrowing, due to the
superexchange interactions along the chain, and intra- or
interchain dipolar interactions that broaden the signal. For the
two [Mn(L)2(µ-N3)2]n complexes, the chains were neutral and
well isolated by the large pyridinic ligands (Mn‚‚‚Mn interchain
distance greater than 9 Å) and the intrachain Mn‚‚‚Mn distances
were around 5.3 Å.7 From these structural parameters, dipolar
intra- or interchain interactions are negligible, and so the
narrower signals observed for the azido chains may be attributed
to the exchange narrowing: very weak for 1 and 2 (|J| < 0.5
cm-1) and strong for the two [Mn(L)2(µ-N3)2]n compounds (|J|
values close to 10 cm-1). In contrast, dipolar interactions explain
the large line width found in the EPR signal (750 G) of the
end-on azide-bridged chain [Mn(2-bzpy)(N3)2]n, which shows
comparable J superexchange parameters (J ) 0.8 cm-1) and
interchain Mn‚‚‚Mn distances but strong dipolar interactions due
to the short Mn‚‚‚Mn intrachain distances,14 close to 3.5 Å.
Superexchange Mechanism. A priori, weak interactions may
be expected for the end-to-end dicyanamide bridges, present
because of the large Mn-Mn interaction pathway through a
Description of the Crystal Structure of cis-[Mn(bpy)-
(N(CN)2)2]n. The labeled diagram for 2 is shown in Figure 3.
This compound has the same double dicyanamide bridges in a
one-dimensional arrangement, similar to the above compound
with 4-bzpy, but the chelate character of 2,2′-bpy leads to the
cis 1D compound. The bond parameters of the bridging region
are also quite similar to those of 1: Mn(1)-N(2) ) 2.223(4)
Å, Mn(1)-N(4) ) 2.187(4) Å, Mn(1)-N(2)-C(6) ) 158.7(4)°,
and Mn(1)-N(4)-C(7) ) 161.9(4)°. The dicyanamide ligand
is bent with a C(6)-N(3)-C(7B) angle of 120.9(4)° and two
N-C-N straight linear units with angles of 173.2(5)° and
174.4(5)° for N(2)-C(6)-N(3) and N(4)-C(7)-N(3C), re-
spectively.
The shortest intrachain Mn-Mn distance is 7.512(3) Å (b
axis of the cell) as consequence of the large bridging ligand,
whereas the minimum interchain Mn-Mn is 6.707(3) Å with
neighboring chains in the (100) direction (Figure 2). In this case
the Mn(NCNCN)2Mn rings are roughly planar, with deviation
from the mean plane of less than 0.1 Å for all atoms.
Magnetic Data and Coupling Constants Evaluation. The
øMT product and the molar magnetic susceptibilities vs T in
the 300-2 K range of temperature for [Mn(4-bzpy)2(N(CN)2)2]n
(1) and [Mn(bpy)(N(CN)2)2]n (2) are plotted in Figure 4. The
overall behavior of 1 and 2 corresponds to weak antiferromag-
netically coupled systems. When the samples are cooled, the
øMT product decreases slowly from 4.20 and 4.36 cm3 K mol-1
at 300 K for 1 and 2, respectively, decreases more quickly below
(13) Fisher, M. E. Am. J. Phys. 1964, 32, 343.
(14) Abu-Youssef, M. A. M.; Escuer, A.; Gatteschi, D.; Goher, M. A. S.;
Mautner, F. M.; Vicente, R. Inorg. Chem. 1999, 38, 5716.
(15) Bencini, A.; Gatteschi, D. EPR of Exchange Coupled Systems;
Springer-Verlag: Berlin, Heidelberg, 1990; Chapter 10 and references
therein.