increasingly dif®cult to assign the crystal smectic phase seen in
many derivatives as either G or J on the basis of microscopy
alone, and so we undertook a detailed study by X-ray
diffraction in order to resolve the question. In total, ®ve
complexes were studied and they were chosen as examples
where the crystal smectic phase was formed either directly from
a smectic C phase or from a smectic I phase.
First, it was possible to con®rm the existence of a smectic C
phase due to the presence of two sharp re¯ections in the ratio
1 : 2 in the small angle region corresponding to a lamellar
system. The measured layer spacing was about 50% of the
calculated molecular length suggesting a tilt angle of around
50³ in all examples studied. In the case of the smectic I phase, in
addition to the re¯ections at small angle, there was, in the wide
angle region, a slightly broad re¯ection from the packing of the
crystal G lattice; intermediate values would be found for a
crystal smectic M type of lattice (an analogue of the crystal G
and J phases in which the tilt direction is somewhere between
that found in these two phases)8 with any other orientation of
the crystallographic axes with respect to the tilt plane (Fig. 5c).
The corresponding molecular volumes Vm~Vc/2 (recall that
two molecules per unit cell are proposed) and cell parameters c
are plotted against the sum of the carbon chain lengths nzm
(oxygen being included in the rigid core for these purposes) and
compared to the calculated molecular volume, Vm, and the
molecular lengths l (Fig. 6; Vm being obtained from the well
known volume of molten aliphatic tails, from the transverse
area of the rigid core s0 deduced from the spacing of the (hk0)
re¯ection and from the rigid core length deduced from
molecular modelling). It is then clear that the lattice parameters
which are found by assuming a crystal smectic G type of
monoclinic lattice lead to a cell volume which is too small with
respect to the volume of the 2 molecules contained in the
monoclinic lattice. In contrast, the cell volume is in good
agreement with that calculated with the lattice parameter
obtained for a crystal smectic J type of monoclinic lattice. This
suggests that the arrangement is of the smectic J type or close to
it, suggesting that all samples exhibit a crystal J phase.
One particular feature of interest was found in sample 6e
(Fig. 7) which was very different from that in the other samples,
namely the occurrence of an additional, low-intensity (12)
re¯ection. In the case of a truly centred arrangement in the ab
plane, this re¯ection would be extinguished, but its presence
suggests that there must be a shift along c between adjacent
rows of molecules parallel to the tilt plane. However, an
alternative explanation, which cannot be excluded, is that a is
in fact not exactly equal to 90³ so that the lattice is actually that
of a crystal smectic M phase (i.e. a quasi-crystalline J lattice).
Ê
rigid cores which overlapped with the diffuse 4.5 A re¯ection
due to the packing of the molten alkyl chains. The width of this
peak strongly supported the assignment as SI as it is normally
the case that the re¯ection from the packing of the cores would
be broader if the phase were SF.7
The X-ray diffraction pattern for the crystal smectic phase
showed (Fig. 4), at wide angle, a diffuse re¯ection due to the
packing of the alkyl chains, an intense, ®rst order re¯ection due
to the two-dimensional hexagonal packing of the rigid cores
and several other sharp re¯ections of low intensity correspond-
ing to an (hkl) indexation with h|0 and/or k|0 and l|0. In
order to identify the phase, both a crystal smectic G and a
crystal smectic J monoclinic lattice were considered (Fig. 5),
with a and b being placed within, and normal to, the tilt plane,
respectively. It was considered that there were two molecules
per unit cell and unit cell angles of a~c~90³, b|90³ were
assumed.
From the location of the (hkl) satellite re¯ections relative to
the ®rst order (hk0) re¯ection of the hexagonal packing, the
angle b and therefore the other cell parameter and cell volume
(Vc) are readily deduced (Table 2). The largest values for Vc
and c correspond to the crystal J lattice and the smallest to the
In¯uence of chain length and temperature
The variation of d with T is less than 0.01% ³C21 within a phase
domain, with the transitions from the SC to the SI phase and
from the SI to the J phase being associated with jumps in d of
the order of 1% in the former case, there being no jump in the
latter. This corresponds to molecular areas, S, increasing
slightly with increasing T and decreasing nzm (Fig. 8). The tilt
angle, y, which is deduced from the ratio of S and of the
transverse area to the rigid part s0 (obtained from the spacing
corresponding to the (hk0) re¯ection in the case of the SI and J
phases and evaluated from the location of the diffuse re¯ection
in the wide-angle region in the case of the SC phase) lies in the
range 50³ to 55³, with a tendency to decrease with increasing
nzm (Fig. 9). It is quasi-independent of temperature in the J
and SI phases, and only a few degrees larger in the SC phase
(Fig. 10).
Fig. 4 X-Ray diffraction pattern for 6a at 115 ³C.
Fig. 5 Illustration of the relationships between the crystal G, J and M lattices.
J. Mater. Chem., 2000, 10, 637±644
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