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conditions of the diffraction experiments. This tendency to
crystallise is clearly illustrated for Ac-G1A*2 by the presence of
an exothermic transition peak (cold crystallisation) close to
room temperature detected by DSC in the heating process. In
the case of Ac-G1A2 crystallisation was not observed by opti-
cal microscopy or by DSC; however, the sample crystallised
after a few minutes when kept at room temperature during ex-
posure to the X-rays. The tendency to crystallisation persists at
higher temperatures, which precluded the X-ray characterisa-
tion of these two compounds under any set of conditions.
For all the remaining compounds and complexes, the X-ray
patterns confirmed the nature of the mesophase assigned by
optical microscopy (Table 1). Thus, the diffractograms of Ac-
G1APy, Ac-G1ACou and their triazine complexes recorded in
the nematic mesophase contain only diffuse scattered intensi-
ty, as expected given the absence of long-range positional
order and the existence of long-range orientational order only
(Supporting Information Figure S29). However, the orientation-
al order is not reflected in the X-ray patterns due to the lack of
macroscopic alignment in the bulk sample. The diffuse scatter-
ing arises from the short-range order of the fluctuating molec-
ular positions in the nematic mesophase.
merise by H bonding between the carboxyl group,[25] a process
that generates the mesogenic entity.
The fact that the layer spacing is significantly shorter than
twice the molecular length is due to a combination of two
phenomena: 1) the conformational freedom of the chains as
they are in a molten state in the mesophase, which reduces
the effective molecule length; 2) the tilt in the smectic
mesophase.
The layer spacing for the complexes (Table 1) is similar to
that measured for the dendron Ac-G2A4. In particular, this
compound and its triazine complex have practically the same
layer spacing. This is consistent with the fact that the triazine
complex is a trimer of the dendron, in which the three mole-
cules associated with the triazine core are statistically oriented
in two opposite directions and are tilted with respect to the
smectic layer (Figure 5). This arrangement must yield an overall
molecular length very similar to that of the dimeric dendron.
Thus, in the smectic mesophase the molecules of M-G1A2 and
M-G1A*2 and the molecules of M-G2A4 contain, respectively,
six or twelve mesogenic units statistically oriented in each
direction.
This kind of molecular arrangement is similar to that previ-
ously found by some of us for other series of covalent,[26]
ionic[27] and H-bonded[15] dendrimers that show smectic meso-
phases. The fact that the measured layer spacing is similar for
the two dendron generations (compare d values for M-G1A2
and M-G2A4 in Table 1) supports our previous finding that,
upon increasing the generation, the dendritic branches largely
expand in the direction of the smectic plane. This produces
a broadening of the molecule without a significant increase in
length.
On the other hand, the smectic nature of the mesophases
exhibited by Ac-G2A4 and complexes M-G1A2, M-G2A4 and
M-G1A*2 was confirmed by the presence of one or two sharp
reflections in the small-angle region in addition to a diffuse
scattering band in the wide-angle region (Figure 4). When two
Additional support for this structural model and for the
tilted nature of the mesophase of pure Ac-G2A4 and of the
three smectic complexes can be obtained from simple cross-
section calculations. The molecular cross-sectional area A in ꢄ2
can be deduced as A=V/d, where V is the molecular volume in
ꢄ3 and d is the experimentally measured layer spacing in ꢄ.
For a density of 1 gcmꢀ3, which is typical for organic com-
pounds, the molecular volume can be calculated using the fol-
lowing equation: V=Mꢅ1024/NA, where M is the molar mass in
g and NA is Avogadro’s number. On combining the two equa-
tions, the cross-sectional area of the molecule can be obtained
as A=Mꢅ1024/(dꢅNA).
Figure 4. X-ray diffractograms of: a) M-G1A2, b) M-G1A*2, and c) M-G2A4
recorded in the smectic C phase at room temperature after cooling from the
isotropic liquid.
small-angle maxima are detected, they are in the reciprocal
spacing ratio 1:2. This confirms the lamellar organisation and
the two maxima are, respectively, the first and second order re-
flections from the periodically stacked layers. The large-angle
halo arises from the interferences between the molten chains
and other short-range intra- and intermolecular interferences
in the direction perpendicular to the long axes of the mole-
cules. Although this kind of pattern could correspond to either
a smectic A or a smectic C organisation, the room-temperature
mesophases were assigned as smectic C on the basis of the
optical textures (vide supra) and the structural parameters de-
duced from the X-ray measurements (vide infra). The experi-
mentally measured layer spacing (d in Table 1) for Ac-G2A4 is
larger than the length of a single molecule in its most-extend-
ed conformation and shorter than twice its length. This is ex-
pected considering that the carboxylic acids are known to di-
In the case of Ac-G2A4 the cross-sectional area S per meso-
genic unit (or per chain) can be obtained by dividing the total
cross-section A by the number of mesogenic units oriented in
each direction in the dimer, that is, four. This gives a value of
about 40 ꢄ2 (Table 1).
Similar values of S close to 42 ꢄ2 were obtained for the
cross-sectional area per mesogenic unit in the case of the
three smectic complexes. In this case, since each complex con-
tains three molecules of the dendritic acid with their mesogen-
ic units statistically oriented in each direction, S is obtained by
dividing the total molecular cross-section by three for the first
generation (G1) and by six for the second generation (G2). The
hydrocarbon chain in the triazine does not affect these calcula-
tions because it is embedded in the central dentritic sublayer
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Chem. Eur. J. 2014, 20, 1 – 12
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