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Table 1: Temperatures and enthalpy and entropy changes of the phase
molecule experiences slow relaxation of the magnetization
3
transitions for MeL3, H L, [Mn12L216], and [Mn12L316].
(blocking temperature), provoking an overall lowering of the
magnetic anisotropy of the molecule (a key parameter for the
slow relaxation process) and favoring the occurrence of
rhombic (transverse) zero-field interactions within the mol-
ecules. This results in an increase of the rate of the reversal of
the magnetization by quantum tunneling.[13d] A closer exami-
nation of the crystal structure of [Mn12L116] shows that one of
the MnIII ions has a Jahn–Teller elongation axis almost
perpendicular to the others (see Figure S12 in the Supporting
Information). In view of the very low disorder of the crystal
structure (R1 = 6.1%), this Jahn–Teller-distorted isomer is the
only one significantly present in the structure, which explains
the occurrence of a unique out-of-phase signal at a lower
temperature than for the parent [Mn12(OAc)16] compound.
For [Mn12L216] and [Mn12L316], for which no structure of the
core is available, the presence of two peaks suggests the
coexistence of different Jahn–Teller isomers within the
sample, as already observed for other Mn12 derivatives.[13d]
For the three complexes, the magnetization relaxation
rate t follows an Arrhenius equation (t = t0 exp(ꢀUeff/kT),
see Figure S13 in the Supporting Information). This behavior
is characteristic for a thermally activated Orbach process in
which Ueff is the effective anisotropy energy barrier, k the
Boltzmann constant, and t0 the preexponential factor. For
[Mn12L216] it was possible to extract the parameters for both
phases, those corresponding to the high-temperature peak
(slow relaxation phase, SR), and those of the low-temperature
peak (fast relaxation phase, FR). The values obtained for the
Compd
MeL3 [b]
Mesophases[a,c]
T [8C]
DH [Jgꢀ1
]
DS [mJgꢀ1 Kꢀ1
]
Cr!SmA
SmA!N
N!I
16.5
85.2
99.6
138.2
141.1
ꢀ11.5
150.0
40.5
2.02
0.24
3.21
–
6.97
0.67
8.61
HL3[b]
Cr!N
–
N!I
78.49[d]
24.06
–
223.21[d]
[Mn12L2
[Mn12L3
]
]
Cr!Cub
Cub!dec
G!Smfmr
Smfmr!dec
91.95
16
–
–
–
–
–
16
150.0
[a] Second heating; [b] Polarized optical microscopy (POM); [c] Cr=
crystal, G=glass, I=isotropic liquid, SmA=smectic A, N=nematic,
Cub=cubic, Smfrm =filled random mesh smectic phase (see text and
reference [26]), dec=decomposition; [d] cumulative values for both
transitions.
ments. At 308C, up to 11 sharp reflections (Figure S9,
Table S2, Supporting Information) were detected in the low-
angle range for which the reciprocal d spacings were in the
ratios
pffiffiffiffiffi pffiffiffiffiffi pffiffiffiffiffi pffiffiffiffiffi pffiffiffiffiffi pffiffiffiffiffi pffiffiffiffiffi pffiffiffiffiffi pffiffiffiffiffi pffiffiffiffiffi pffiffiffiffiffi
10: 12: 14: 16: 20: 22: 38: 40: 44: 48: 54,
pointing to a cubic supramolecular organization [(h2 + k2 +
l2)1/2 = a/dhkl)]; the number of reflections decreased to 4–5
upon increasing temperature. A very intense and broad
diffraction peak centered at around 4.5 (hch) was present
over the whole temperature range, corresponding to the
molten alkyl chains and confirming the liquid nature of the
mesophase. Complete space group determination of mobile
three complexes (Table S4 in the Supporting Information) all thermotropic cubic phases is difficult but important. The large
fall within the expected ranges for Mn12 complexes. The shape
of the magnetization versus field curves at 1.8 K for the three
compounds is typical for randomly oriented polycrystalline
Mn12 species (Figure S14 in the Supporting Information).[17b]
The magnetization curves of the three clusters exhibit a
hysteresis loop characteristic of SMM behavior.[2b] The weak
coercive field of 52 mTobserved for [Mn 12L116] is in accord-
ance with the very low TB value (1.6 K), which is slightly
below the temperature of measurement (1.8 K); TB is
arbitrarily defined as the temperature for which t = 100 s.[17a]
For [Mn12L216] (m0HC = 125 mT), only the SR species show
hysteresis behavior as TB (FR) < 1.8 K < TB (SR). The
presence of the FR species leads to narrowing of the
hysteresis loop at zero field measured for the sample.[17b]
Finally, [Mn12L316] shows a rather large coercive field of
320 mT, which is in accordance with its unique and high TB
value of 2.4 K.
initial number of theoretical possibilities (36) can be
decreased by logical analysis of the data, as shown below. In
our standard diffraction experiment, all non-centrosymmetric
groups (groups with Laue classes 23, 432, or ꢀ43m) can be
disregarded on account of Friedelꢀs law,[18] which leaves only
17 cubic space groups to consider. The sequence of the ratios
is not compatible with a face-centered cubic network (F), and,
although it is still compatible with a primitive Bravais lattice
(P), this option is highly improbable owing to the 10 or so
absent authorized reflections and the consequently too large
lattice parameter. The symmetry of the cubic phase is thus
characterized by a body-centered cubic network (I) with a
lattice parameter a = 105.1 . The reflections were indexed as
(310), (222), (321), (400), (420), (332), (611/532), (620), 622),
(444), and (633/552/721), and all satisfied the reflection
conditions 0kl:k + l = 2n, hhl:l = 2n, h00h = 2n; only the
¯
¯
symmetry of space groups Im3 and Im3m is theoretically
compatible with this set of reflections. Aggregation into the
highest symmetry is generally admitted, and, accordingly, the
Polarized optical microscopy (POM) and small- and wide-
angle X-ray diffraction (SAXS) experiments show that
[Mn12L116] is solid (crystalline) until it decomposes at
around 2008C, whereas [Mn12L216] and [Mn12L316] are meso-
morphic and thermally stable up to around 1508C, where
decomposition occurs before the clearing point is reached
(Table 1).
[19,20]
¯
Im3m space group is finally retained.
The cubic lattice
parameter is almost temperature-independent (a = 106.1 at
T= 908C and a = 108.1 at T= 1408C). As deduced from the
estimated molecular volume (Vmol ꢁ 20000–22000 3,
1 ꢁ 1.0 g.cmꢀ3), the unit cell of the cubic phase (a3) contains
55–60 molecular clusters.
No birefringent texture could be observed for [Mn12L2
]
16
¯
in the explored temperature range, but only the formation of
large black (optically isotropic) viscous areas on increasing
Thermotropic cubic phases with the Im3m space group are
rare in liquid crystals,[19,20] and their structure not clearly
understood,[21] in contrast to their lyotropic analogues. Con-
sidering first the discontinuous micellar model, as for
¯
temperature above 258C. A cubic mesophase with a Im3m
symmetry was eventually deduced from SAXS measure-
492
ꢀ 2008 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim
Angew. Chem. Int. Ed. 2008, 47, 490 –495