Eun-Woo
Lee
,
Masaya
Hattori
,
Fumiya
Uehara
,
Masatoshi
Tokita
,
Susumu
Kawauchi
,
Junji
Watanabe
and
Sungmin
Kang
*
Department of Organic and Polymeric Materials, Tokyo Institute of Technology, Ookayama, Meguro-ku, Tokyo 152-8552, Japan. E-mail: skang@polymer.titech.ac.jp; Fax: +81-3-5734-2888; Tel: +81-3-5734-3641
First published on 26th January 2015
Acute-angle bent-shaped molecules comprising a 1,7-naphthalene central core, alkylthio terminal chains and long side wings comprising three phenyl rings connected by imine and ester linkages were synthesised. Their distinct mesomorphic properties and phase structures were revealed. Despite their acute shape, these molecules exhibited a polar switchable hexagonal columnar phase (Colh), banana B7 phases and calamitic smectic A (SmA) phase, enabling the first observation of SmA–Colh–B7 and Colh–B7 phase transition behaviours. The formation of a hexagonal columnar phase between the layered smectic A and B7 phases supports the proposed Colh phase model in which a tube-like assembly incorporating smectic layers generates hexagonal columns. Molecular packing in the optically uniaxial SmA phase was also discussed in terms of birefringence. Overall, the structural transformation of one-dimensional SmA layers into deformed hexagonal columnar and B7 phases was found to depend on the combined effects of molecular asymmetry, alkylthio terminal tails and the balance between flexible chain lengths and rigid mesogenic units.
In this study, asymmetric bent-shaped molecules comprising a 1,7-naphthalene central core (N(1,7)), alkylthio terminal chains (S) and long side wings comprising three phenyl rings connected by imine (I) and ester linkages (E) were prepared (Scheme 1) which possess a longer mesogenic unit length compared with our previous report.14,16 Their mesomorphic properties as a result of extension of the mesogenic part, including their molecular accommodation within the LC phase, were investigated. The V-shaped mesogens are designated as N(1,7)–EIE–Sn (n = 16, 18, 20), where n denotes the number of carbon atoms in the terminal alkylthio tails.
Compound | Temperaturea/°C (enthalpya/kJ mol−1) |
---|---|
a Determined by the cooling process. Tm: melting point, Iso: isotropic phase, Cr: crystal phase. | |
N(1,7)–EIE–S16 | Cr 201(31.4) B7 210(9.7) Colh 240(0.6) SmA 258(4.7) Iso, Tm: 207 |
N(1,7)–EIE–S18 | Cr 195(31.3) B7 204(8.9) Colh 250(0.2) SmA 256(4.2) Iso, Tm: 203 |
N(1,7)–EIE–S20 | Cr 193(29.9) B7 202 (8.3) Colh 260(7.3) Iso, Tm: 202 |
Phase structures in all LC regimes were examined in detail by synchrotron radiation (SR) wide-angle X-ray diffraction (WAXD) and small-angle X-ray scattering (SAXS) because temperature-resolved SR X-ray measurements effectively detect subtle phase transition sequences presenting narrow LC regimes and relatively high transition temperatures. Fig. 3 shows representative two-dimensional (2D) powder SAXS profiles for each phase as well as one-dimensional (1D) powder SAXS and WAXD profiles for N(1,7)–EIE–S18. Table 2 lists observed and calculated d-spacings, Miller indices and lattice parameters. Upon cooling of the highest-temperature LC phase, a single reflection appeared at 2π/49.5 and 2π/52.3 Å−1 for N(1,7)–EIE–S16 and N(1,7)–EIE–S18, respectively, in addition to an outer diffraction peak at 2π/4.7 Å−1, implying that the corresponding phases exhibit a 1D lamellar order consistent with a smectic A phase. Upon cooling of N(1,7)–EIE–S18 to the lower temperature phase, this single reflection propagated into three sharp reflections at 2π/64.5, 2π/37.0 and 2π/32.1 Å−1. These reflections were incommensurable but showed ratios of 1, 3−1/2 and 2−1 with the d-spacings and were eventually indexed to (100), (101) and (200), respectively. These ratios were clearly indexed and matched a hexagonal columnar lattice structure (Table 2), in which one lattice edge amounted to 72.1 and 74.5 Å for N(1,7)–EIE–S16 and N(1,7)–EIE–S18, respectively. A similar scattering pattern was observed for N(1,7)–EIE–S20. Upon cooling of the isotropic melt, the observed d-spacings of 65.0, 37.4 and 32.5 Å gave a lattice parameter of 75.0 Å comparable to the size obtained for N(1,7)–EIE–S18. These reflection profiles provide hexagonal ordering parameters that significantly exceed the molecular length, in agreement with previously observed hexagonal columnar phases formed by acute-angle banana-shaped derivatives bearing the 1,7-naphthalene core and five rings.14–16 Scattering patterns changed more drastically when the compounds were cooled to their lowest-temperature LC phase. In addition to a wide-angle diffuse scattering at 2π/4.7 Å−1, five or six additional reflections were recorded in the small angle region (Fig. 3 and Table 2). Together with the low birefringence and fringed textural transformation detected by POM, these observations suggest that long-range frustration occurs in the smectic phases with a periodicity of approximately 300 Å. This low-temperature phase was determined as a banana B7 phase showing a 2D long-range frustrated/undulated structure. For N(1,7)–EIE–S18, the indexation of peaks at 135.9, 106.4, 87.5, 81.0, 53.5 and 48.3 Å led to (201), (100), (301), (101), (200) and (001) reflections, respectively, consistent with the formation of a 2D lattice presenting parameters a of 300 Å, c of 136 Å and β of 20.8°. This indexation also matched with the observed d-spacings for n = 16 and 20 and indicated the emergence of oblique 2D lattices in these homologues (Table 2). Furthermore, higher-order reflections of (002) and (003) corresponding to q values of 2π/24.2 and 2π/16.1 Å−1 (see arrows in Fig. 3b) were found as a result of layer order, indicative of a well-defined layer structure in this phase.
![]() | ||
Fig. 3 X-ray investigations of the powder sample for N(1,7)–EIE–S18. (a) 2D and 1D SAXS profiles and (b) 1D WAXD profile obtained from each phase. |
Compound | Phase | d obs (Å) | hkl | d calc (Å) | Lattice parameterb |
---|---|---|---|---|---|
a Observed d-spacings upon cooling. b Calculated Miller indices hkl, d-spacings and lattice parameters with 2D hexagonal and oblique lattices. | |||||
N(1,7)–EIE–S16 | SmA | 49.5 | 001 | ||
Colh | 62.4 | 100 | 62.4 | a = 72.1 Å | |
36.1 | 101 | 36.1 | |||
31.2 | 200 | 31.2 | |||
B7 | 132.8 | 201 | 132.7 | a = 296 Å, c = 133 Å, β = 20.3° | |
102.6 | 100 | 102.7 | |||
87.3 | 301 | 85.7 | |||
77.8 | 101 | 77.4 | |||
51.8 | 200 | 51.3 | |||
46.2 | 001 | 46.3 | |||
Cr | 53.0 | 001 | |||
N(1,7)–EIE–S18 | SmA | 52.3 | 001 | ||
Colh | 64.5 | 100 | 64.5 | a = 74.5 Å | |
37.0 | 101 | 37.2 | |||
32.1 | 200 | 32.2 | |||
B7 | 135.9 | 201 | 135.6 | a = 300 Å, c = 136 Å, β = 20.8° | |
106.4 | 100 | 106.5 | |||
87.5 | 301 | 87.2 | |||
81.0 | 101 | 80.7 | |||
53.5 | 200 | 53.3 | |||
48.3 | 001 | 48.3 | |||
Cr | 56.1 | 001 | |||
N(1,7)–EIE–S20 | Colh | 64.5 | 100 | 65.0 | a = 75.0 Å |
37.0 | 101 | 37.5 | |||
32.1 | 200 | 32.5 | |||
B7 | 119.4 | 201 | 119.2 | a = 259 Å, c = 119 Å, β = 25.2° | |
110.4 | 100 | 110.4 | |||
81.8 | 101 | 82.5 | |||
55.2 | 200 | 55.2 | |||
50.8 | 001 | 50.8 | |||
Cr | 58.5 | 001 |
These interpretations were strongly supported by X-ray investigations using oriented samples. Fig. 4 shows oriented SAXS patterns observed in SmA, Colh and B7 phases upon cooling of homeotropically aligned N(1,7)–EIE–S16. First, a simple (001) reflection was visible along the meridional line in the SmA phase, consistent with a 1D layer order (Fig. 4a). A drastic change was clearly detectable in the Colh phase. As can be seen from Fig. 4b, six spot-like reflections for (100), (101) and (200) were distinguished, in agreement with the d-spacing relationships and the typical directions of the scattering vectors, providing a hexagonal lattice assembly with an edge size a of 72.1 Å. Upon further cooling, this oriented profile evolved into a rather complicated pattern displaying several split and streak sets along the meridional line (Fig. 4c), suggesting a 2D frustrated B7 phase structure in an oblique lattice (lattice parameters, a = 296 Å, c = 133 Å and β = 20.3°). Indices and reciprocal lattices are given on the right-hand side of each plot (Fig. 4). Moreover, lattice parameters did not show any temperature dependence within 9 °C of the B7 phase regime, consistent with long-range periodicity.
The six spot-like scattering patterns observed for the columnar phase may also be interpreted as a frustrated B1 structure.4,21,22 In this case, two of the smallest reflections located on the meridional line and the other four spots would be indexed as (002) and (101), respectively. However, this merely happens when the d-spacing values for (002) are equivalent to those of the (101) reflection, which seems occasional and usually occurs when d-spacings change as a result of molecular length tuning, particularly variations in the terminal carbon chain number. A disagreement between d-spacing values when n varies would rule out a B1-like phase. Here, the d-spacings obtained for the inner six spots consistently amounted to 62.4, 64.5 and 65.0 Å for n = 16, 18 and 20, respectively. Furthermore, the observed d-spacing value for (100) or (001) was larger than half the estimated molecular length but smaller than double this length.
Electro-optical measurements were performed to investigate the polar switching ability of SmA, Colh and B7 phases. No polar switching behaviour was detected in the SmA phase for N(1,7)–EIE–S16 and N(1,7)–EIE–S18. On the other hand, Colh and B7 phases showed distinct switching behaviours in the presence of an external field for all three compounds. Fig. 5 and 6 show representative examples of switching in Colh and B7 phases for N(1,7)–EIE–S20. Under an applied triangular voltage exceeding 89.5 Vpp μm−1, the mosaic-like Colh phase (Fig. 5a) coalesced into a totally dark texture (Fig. 5b), concomitant with a single reversal current within a half period of the triangular wave (Fig. 5c). This result agrees with previous reports on a polar hexagonal columnar phase for five-ring 1,7-naphthalene derivatives, albeit at a remarkably elevated threshold voltage.14,15 Consistent with X-ray measurements, these observations suggest that the hexagonal columnar phase presents a ferroelectric switching behaviour. In this phase, the columns may reorient parallel to the field direction as a result of the collective motion of constituent molecules (here, the direction of cell thickness), resulting in an optically isotropic state.14,15
The B7 phase showed a ferroelectric switching behaviour at a lower threshold voltage of 24.8 Vpp μm−1 than the Colh phase in addition to a single reversal current within a half period of the triangular wave (Fig. 6). In the presence of an applied external field, the initial low-birefringence texture (Fig. 6a) was transformed into a rather bright texture (Fig. 6b) which persisted after the field was turned off. Overall, the lowest-temperature LC phase was therefore designated as the B7 phase (especially a switchable B7 phase was expressed as B7′),6 which typically is a polar switchable phase exhibiting 2D long-range frustration/undulation. Polar switching was thought to stem from the collective reorientational motion of molecular assemblies packed along the bent direction in the B7 phase layers. Spontaneous polarizations (Ps) approximated 120–200 and 240–300 nC cm−2 for the Colh and B7 phases, respectively, comparable with previous values for the Colh phase.14,15 A possible model is proposed for the hexagonal columnar phase using X-ray and electro-optical results. Here, for a hexagonal lattice edge a of 75 Å, a stratum height h of 4.7 Å in each column and a density ρ of 1 g cm−3, the average number of molecules N amounted to 10, in close agreement with previous observations. Thus, this hexagonal model may involve tube-like columns of cylindrically enclosed layers, as previously suggested.14,16
Here, the appearances of a flat, layered calamitic SmA phase and a frustrated layered B7 phase on either side of the upper- and lower-temperature regions of the Colh phase should be addressed. In general, a hexagonal phase lacks layer order, such as in a disc-like arrangement. Therefore, it seems unlikely between two layered phases as in our case because the layer structures would require a significant amount of energy to form and disassemble. However, to the best of our knowledge, the SmA–Colh–B7 phase transition sequence is the first observed in bent-core mesogenic systems. This sequence supports our interpretation of a hexagonal columnar structure suggesting an assembly of tube-like columns containing concentrically enclosed layers.
A possible model for the structural propagation during the cooling process is proposed in Fig. 7. The 1D layering (Fig. 7a) breaks down into hexagonal columns of enclosed layers via layer bending (Fig. 7b), which may result from the asymmetric shape of the molecular centre during molecular packing along its direction. Upon further cooling, the hexagonal structure rearranges into the B7 phase exhibiting undulated layers, in which the polarization splay defect lines separate smectic blocks of opposite molecular tilt directions (Fig. 7c).23
First, polar properties observed in the Colh and B7 phases presented a strong evidence for molecular packing states in each LC phase, which indicates a banana-like molecular packing. Therefore, packing along the molecular bent direction was effectively enhanced although the bent-core mesogens displayed an acute angle of approximately 60°.
Second, let us identify the molecular packing states dominating the SmA phase. The optically isotropic POM textures for homeotropically aligned mesogens in the SmA phase demonstrate an optical uniaxiality within visible light wavelengths (insets in Fig. 2a and d). Therefore, the SmA phase may be considered a calamitic smectic phase often observed in conventional rod-like LC molecules. However, U-shape (or U-like)24–26 and banana-shape (or banana-like)27–29 molecular arrangements are possible when the molecular bend direction is parallel or perpendicular to the layer normal, respectively (Fig. 8).
Information about molecular packing in the smectic layer was obtained by optical investigations. The SmA phase showed birefringence in which the long axis of the refractive index ellipsoid lay parallel to the long axis of the fan-shape domain by POM,30 which is converse in the B7 phase.31 This implies that the layer normal direction presents a larger refractive index than the layering direction. The V shape of the N(1,7)–EIE–Sn molecules made the molecular bend axis exhibiting the largest refractive index value difficult to identify. Therefore, the polarisability (α) was calculated along the three axes determined on the optimized molecular structure (Fig. 8a).34–36 Then, the values of αb,l,t were converted into refractive indices of nb, nl and nt that eventually gave the values of ne, no and birefringence (Δn, when order parameter S = 1) in Table 3. Here, the subscripts b, l and t denote bend, longitudinal and transversal directions, respectively. Assuming that the uniaxial SmA phase adopted two geometries, in which the bend direction was either perpendicular (Fig. 8b, model 1) or parallel to the layer normal (Fig. 8c, model 2), the birefringences (Δn at 550 nm) for two models considering order parameter values S = 0.4–0.6 were derived as 0.002–0.004 and 0.116–0.173, respectively (here, surface effects were ignored and the extraordinary axis was set parallel to the layer normal). These calculations firstly showed that the refractive index along the bend direction nb displayed the largest value as we expected. Secondly, the expected Δn values considering practical order parameter values in the SmA phase are both small but especially quite low for model 1. In order to confirm these optical performance, we performed a birefringence measurement28,32,33 and obtained Δn′ = 0.114 (at 550 nm, ′ denotes a value obtained by experimental observation)37 for N(1,7)–EIE–S16, which was in good agreement with the calculated birefringence (Δn) for model 2. However, the observed layer thickness (48.3 Å) for N(1,7)–EIE–S16 was rather comparable with the molecular length corresponding to the end-to-end distance between terminal chains (51.3 Å) but larger than the molecular height (34.5 Å, length of the perpendicular line measured between the apex of the central core and the base of the triangle) with the most extended terminal chain conformer.34 Therefore, it is difficult to assert that the single molecular length in a U-shaped conformation and packing satisfies the observed layer thickness. Overall, molecular packing in the uniaxial SmA phase remains unclear although the observed birefringence suggests that molecules adopt U-shaped packing irrespective of the deviation in the layer thickness.
λ (nm) | Polarisability (Bohr3) | Refractive index | ||||||||
---|---|---|---|---|---|---|---|---|---|---|
α b | α l | α t | n b | n l | n t | Model | n e | n o | Δnb | |
a Wavelength applied for calculation. b In the case of S = 1, calculated by nl − (nb + nt)/2 and nb − (nl + nt)/2 for model 1 and model 2, respectively. | ||||||||||
450 | 1776.3 | 1203.3 | 680.2 | 1.812 | 1.596 | 1.369 | 1 | 1.596 | 1.591 | 0.005 |
2 | 1.812 | 1.483 | 0.330 | |||||||
550 | 1638.3 | 1139.1 | 670.5 | 1.745 | 1.556 | 1.355 | 1 | 1.556 | 1.550 | 0.006 |
2 | 1.745 | 1.456 | 0.289 |
The formation of layered mesophases and the Colh phase between these layered phases indicate that this Colh phase might originate from columns of cylindrically enclosed smectic layers instead of the disc-like molecular association of columns although the reason for the low values of transition enthalpies in the SmA–Colh phase transition remains unclear. Because of the flexibility of terminal alkyl chains and the valence between mesogens and terminal chain lengths in asymmetric structures, smectic A-to-columnar phase transitions have been reported in coil–rod–coil systems38,39 and bolaamphiphiles.40 Consequently, the balance between terminal chains and mesogens, the rotational freedom of the alkylthio linkage41 and symmetric structure of the N(1,7)–EIE–Sn system may promote their transition motion, resulting in a replacement of the SmA phase with the columnar phase upon terminal chain lengthening. The current observation, in addition to our previous observations of cubic, Colh, X, B7 and B2 phases,14,16,42 might be explained by a relationship between layer elastic constants and temperature. In the lowest temperature region, the liquid banana phases (B2 and B7) reside stably due to the effective molecular packing along the bent direction; however, by increasing the temperature, the layer begins to deform due to reduced layer elastic constants or weakened packing correlation along the bent direction, resulting in Colh, X and Cub phases. Finally, for the uniaxial SmA phase, a rebuilding of layer order appearing in the highest temperature region can be understood as a form that has a different molecular accommodation from that of the preceding phase, i.e. a U-shaped packing and 1D layer structure free of layer strain.
Footnote |
† Electronic supplementary information (ESI) available: Fig. S1. POM micrographs of SmA and B7 phases. Fig. S2. Transmittance spectrum and obtained birefringence of SmA. Synthetic procedure and NMR analysis data. See DOI: 10.1039/c4tc02723j |
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