phases of azobenzene derived bent-core mesogens – relationships between the molecular structure and mirror symmetry breaking in soft matter †

New 4-bromoresorcinol based bent-core molecules with peripheral fluoro substituted azobenzene wings have been synthesized and the liquid crystalline self-assembly was investigated by differential scanning calorimetry (DSC), optical polarizing microscopy (POM), electro-optic studies and X-ray diffraction (XRD). A new type of optically isotropic mesophase composed of chiral domains with opposite handedness (dark conglomerate phases, DC phases) is observed, which for some homologues with medium alkyl chain length is stable down to ambient temperature. It is proposed that these DC phases are formed by helical twisted nano-domains of limited size and composed of the crystallized aromatic cores which are separated by the disordered alkyl chains. This structure is distinct from the previously known soft helical nano-filament phases (HNF phases, B4 phases) formed by extended crystalline nano-filaments and also distinct from the fluid sponge phases composed of deformed fluid layers. Comparison with related bentcore molecules having H, F, Cl, I, CH3 and CN groups in the 4-position at the resorcinol core, either with or without additional peripheral fluorines, provided information about the effects of these substituents on the tendency to form DC phases. Based on these relationships and by comparison with the minimum energy conformations obtained by DFT calculations a hypothesis is provided for the formation of DC phases depending on the molecular structure.


Introduction
The observation of spontaneous development of macroscopic chirality in so matter systems of achiral molecules is a contemporary research topic with great importance for the general understanding of spontaneous mirror symmetry breaking, and this might also be useful for numerous practical applications.This phenomenon is in recent years most oen found in liquid crystalline phases of some molecules with an extended bent aromatic core (bent-core molecules). 1,2Helical superstructures in columns 3,4 and self-assembly in helical laments 5-9 represent other prominent examples of mirror symmetry breaking at the nano-scale. 10However, in these 1D organizations chiral segregation occurs only locally, along the aggregates, whereas the lateral interaction between them is only weak, so that usually no macroscopic chirality could be achieved in the absence of a chiral dopant. 2 Only for achiral dibenzo[g,p]chrysenes with short peripheral chains macroscopic spontaneous segregation of chiral conformers was observed in a columnar phase. 4In contrast, in polar smectic LC phases of bent-core liquid crystals (BCLCs) the spontaneous formation of conglomerates of macroscopically chiral domains is more frequently observed.Here chirality emerges in layers (smectic phases) which provides a stronger coupling and therefore can more easily transfer chirality over larger distances. 1In addition, a geometric layer chirality arising from the combination of tilt and polar order in the polar smectic phases of bent-core molecules is assumed to play an important role in the development of macroscopic chirality in these smectic phases, 11 as it can couple with the molecular conformational chirality via diastereomeric interactions.On the other hand, in all cases of lamellar phases the packing of helical entities, ranging from helical conformers of single molecules via bent dimesogens to helical nano-laments, is in competition with the formation of extended at layers and thus leads to layer distortion. 12In many cases this distortion is strong enough to remove the macroscopic anisotropic properties of liquid crystals, giving rise to isotropic mesophases which, due to the absence of birefringence, allow an easy identication of chirality by polarizing microscopy.These so isotropic mesophases composed of a conglomerate of domains with opposite handedness are designated as dark conglomerate phases (DC phases).4][35] In these cases of LC phases with reduced order and without long range layer chirality the formation of DC phases is also dependent on surface interactions.However, the relationships between the formation of the distinct types of DC phases and the required molecular structures are still unknown.Therefore, the search for new molecular structures capable of forming DC phases and the investigation of their general structure property relationships is of signicant importance.Moreover, DC phases could represent interesting materials for a variety of applications, such as organic semiconductors, thin-lm transistors and solar cells, 36 as thin-lm polarizers, 37 as nonlinear optical materials 38 as well as for the detection and amplication of chirality, 39 and eventually also for separation of enantiomers and for enantioselective synthesis. 40C phases involving photoisomerizable azobenzene units were previously only reported for dimesogens composed of two azobenzene units connected by odd-numbered aliphatic spacers 41 and for W-shaped molecules. 42Only recently, we have found that the azobenzene unit is a very useful building block for bent-core mesogens forming new types of HNF-like DC phases. 43,44Broad regions of these DC phases have been found for 4-iodoresorcinol based 43 as well as 4-methylresorcinol based bent-core mesogens with two azobenzene wings (see Scheme 1). 44In contrast, related 4-chloro and 4-uoro substituted compounds do not form any DC phases.
Fluorine substitution at the periphery of the bent aromatic core has a signicant effect on the liquid crystalline behaviour of BCLCs, 45 for example it can change the switching from antiferroelectric to ferroelectric. 1,46In the case of the azobenzene based BCLCs it affects the formation of DC phases.Whereas F-substitution is required for the formation of DC phases of 4-iodoresorcinols with two azobenzene wings, 43 it removes the DC phase in the case of the analogous 4-methyl substituted compounds (Scheme 1). 44re we report a new class of DC phase forming BCLCs based on 4-bromoresorcinol and having additional uorine atoms at the periphery of the attached azobenzene wings, adjacent to the terminal alkyl chains.These compounds are compared with related compounds with F, Cl, I, CH 3 and CN substituents in the 4-position at the resorcinol core, either with or without additional peripheral uorine substitution. 31,32,43,44,47,48The designation of the molecules reported herein follows the general notation YXn, where Y indicates the 4-substituent at the resorcinol core, X ¼ F indicates the presence of peripheral uorines, the absence of X indicates a non-uorinated compound where X ¼ H and n gives the alkyl chain length (see Scheme 1).Besides the series of 4-bromoresorcinol compounds BrFn also some additional compounds (HF12, FF12, ClF12, MF12, IF16) required for proper comparisons were newly synthesized.DFT calculations provide information about the effects of the different substituents Y on the minimum energy conformations, which is related to the experimentally determined tendency to form DC phases of different types.A hypothesis is provided for the prediction of formation of DC phase depending on the molecular structure.

Synthesis
The synthesis of the target BCLCs BrFn was performed by acylation of 4-bromoresorcinol with two equivalents of the appropriate 4-(4-n-alkoxy-3-uorophenylazo)benzoyl chloride in the presence of triethylamine as base and pyridine as acylation catalyst (Scheme 2). 49Details of synthesis of the intermediates and nal compounds as well as analytical data are reported in the ESI.† In analogy to the synthesis of compounds BrFn also the 4-substituted resorcinol based bent-core mesogens HF12 ( ) and IF16 (X ¼ F, Y ¼ I) have been synthesized.The analytical data and other details of these new compounds (see Table 1) are also reported in the ESI.†

Methods
The mesophase behaviour and transition temperatures were measured using a Mettler FP-82 HT hot stage and a control unit in conjunction with a Nikon Optiphot-2 polarizing microscope.The associated enthalpies were obtained from DSC-thermograms which were recorded on a Perkin-Elmer DSC-7 with heating and cooling rates of 10 K min À1 .Electro-optical switching characteristics were examined in 6 mm polyimide coated ITO cells (EHC Japan) using the triangular-wave method.XRD patterns were recorded with a 2D detector (Vantec-500, Bruker).Ni ltered and pin hole collimated CuK a radiation was used.The exposure time was 15 min and the sample to detector distance was 8.95 and 26.7 cm for wide angle and small angle scattering experiments, respectively.Samples were aligned by slow cooling (rate: 1 K min À1 to 0.1 K min À1 ) of a small droplet on a glass plate and takes place at the sample-air interface.The samples were held on a temperature-controlled heating stage.

Mesomorphic properties of compounds BrFn depending on terminal alkyl chain length
The phase sequences, transition temperatures ( C) and associated phase transition enthalpies (kJ mol À1 ) are summarized in Table 1 (see also Table S1 † for data from the second heating scans).In the series of the bromosubstituted compounds BrFn only the shortest homologue BrF4 having a relatively high melting point at T ¼ 157 C is non-mesomorphic.Also for the next homologue BrF6 a direct transition from the crystalline state to the isotropic liquid takes place on heating at 126 C, but on cooling from the isotropic state a highly viscous optically isotropic mesophase appears at T ¼ 96 C, as indicated by microscopy between crossed polarizers.Rotating the analyzer by a small angle out of the precise 90 position leads to the appearance of dark and bright domains.Rotating the analyzer in the opposite direction reverses the dark and bright domains (see Fig. 1 for compound BrF12).Rotating the sample between crossed polarizers does not lead to any change and this indicates that the distinct regions represent chiral domains with opposite handedness, as typical for dark conglomerate phases (DC phases).No crystallization of this DC phase is observed upon cooling to room temperature.In the following heating cycles crystallization takes place either in the DC phase region or aer transition of the DC phase to the isotropic liquid (see Fig. S1 †).No crystallization is observed for any of the next homologues with n ¼ 8-14 (see Table 1 and Fig. 2b), even aer storage for one year at room temperature.
All compounds BrF8-BrF14 have very similar transition temperatures.The melting of the DC phases (second heating scans) takes place around 106 C and the formation of the DC phase on cooling occurs between 96 and 99 C (see Table 1 and Fig. 2a).Hence, there is a supercooling of this phase transition by about 8 K (peak temperatures), which is found nearly a Peak temperatures from DSC with rate 10 K min À1 ; for phase transitions in the second heating scan see Table S1; abbreviations: Cr ¼ crystalline solid; DC ¼ dark conglomerate phase; SmC a P A ¼ anticlinic tilted antiferroelectric SmC phase; Iso ¼ isotropic liquid.b Obtained on cooling with 2 K min À1 .c Transition enthalpy value could not be determined for the DC-Cr transition due to overlapping.d The spontaneous polarization value (P s ) calculated in the SmC a P A phase for FF12 is 460 nC cm À2 ; for ClF12 is 480 nC cm À2 and that for MF12 is 640 nC cm À2 (representative current response curves are shown in Fig. S11).
independent of the scanning rate (2 or 10 K min À1 ).The formation of the DC phases is associated with relatively high transition enthalpies, ranging between DH $ 23.8 and 28.5 kJ mol À1 , only slightly rising with growing chain length.Upon further chain elongation for BrF16 with n ¼ 16, the DC phase becomes instable and immediately aer its formation crystallization takes place.For the longest homologue BrF18 (n ¼ 18) the DC phase is completely removed and only a birefringent crystalline phase is observed.In electro-optical experiments no current peak could be observed in the DC phases of any of the prepared materials BrF6-BrF14 and also no birefringence is induced under an applied triangular wave voltage up to 200 Vpp in a 6 mm ITO cell.This behaviour is similar to those known for so crystalline HNF phases (B 4 phases) and the DC phases of other related azobenzene based bent core mesogens, 43,44 but it is clearly distinct from most of the uid sponge-like smectic phases.
XRD investigation of the DC phases of compounds BrF6, BrF8, BrF12 and BrF14 (see Fig. 3a and b, 4 and S2-5 †) shows an intense reection with d-values in between half of the molecular length L mol /2 and the full length L mol (see Fig. 3c).For the determination of L mol a 120 V-shaped conformation with alltrans alkyl chains was assumed (see Fig. S6 †).The d/L mol ratio was thus calculated to be in the range of 0.78-0.80 for all investigated compounds.
A linear increase of the d-values is observed with increasing length of the terminal chains from d ¼ 3.46 nm for BrF6 to d ¼ 4.76 nm for BrF14 (Fig. 3c).Thus the intense small angle scattering is assigned to a layer reection.The d/L ratio around 0.78-0.80would, according to d/L mol ¼ cos b, allow a tilt angle of the molecules of around 38 .This relatively large difference between d and L mol is similarly found for the DC phases of the related 4-iodo and 4-methylresorcinols IFn and Mn, 43,44 but distinguishes these DC phases from the previously reported HNF phases where d is usually close to the molecular length. 24,25o alignment could be achieved and therefore in the 2D patterns all scatterings form closed rings with uniform intensity distribution (see Fig. 3a).This is due to the disordered mesoscale structure, which is an inherent and very typical feature of all DC phases and leads to their optically isotropic appearance as well as to a broadening of the scattering; the domain size (determined using the Scherrer equation and assuming K ¼ 1) 50 is in the range of 30-42 nm and grows with increasing alkyl chain length (see Fig. 3c).The 2q scan over the diffraction pattern of compound BrF8 is shown in Fig. 3b, those of compounds BrF6, BrF12 and BrF14 are collated in Fig. 4. Beside the strong layer reections very weak and broad scattering maxima are observed in the medium angle region (2q ¼ 5-9 ) and in the wide angle region (2q ¼ 14-28 ).This pattern excludes uid sponge phases, which would show exclusively one completely diffuse wide angle scattering besides the layer reection.The wide angle scattering is, similarly to the HNF phases, characterized by several scattering maxima up to 2q ¼ 28 .However, in contrast to typical patterns of HNF phases (B 4 phases, see Fig. 5b), the wide angle reections are much broader and have signicantly reduced intensity (compare red line in Fig. 5a with 5b, both shown in the logarithmic scale).5][26] Only the XRD pattern of compound BrF14, the compound with the longest alkyl chain among the compounds with stable DC phases, appears a bit different from the others, as the medium angle scatterings cannot be assigned as higher order layer reections and also the shape of the wide angle scattering is a bit different (Fig. 4c).substituted compounds BrFn and compounds Mn.Though having a higher intensity the wide angle scattering prole of the bromo compound BrF14 is similar to IF14, indicating similarities in the molecular organizations in their DC phases.

Investigation of mixtures of compounds BrFn with 5-CB
It is known that HNF phases of benzylideneanilines can be diluted by nematic LC hosts to a high degree (>95%) without loss of the chirality. 51This is a direct consequence of the helical nano-lament structure of these phases, allowing a swelling of the laments by the nematic LC and transfer of chirality from the nano-laments to the nematic LC.This effect is not observed for the sponge type liquid crystalline DC phases involving distorted uid smectic layers.Therefore, investigation of mixtures with 4 0 -n-pentyl-4-cyanobiphenyl (5-CB) could be used as a tool providing additional information about the microstructure of the DC phases of compounds BrFn.
The 1 : 1 mixtures of BrF8 or BrF10 with 5CB do not show any DC phase.On heating these mixtures only a direct transition from the crystalline material to the isotropic liquid state occurs at 57 C and 54 C, respectively (Table 2).On cooling both of these mixtures form a nematic phase which crystallizes with formation of highly birefringent crystalline phases at T $ 36 C and 33 C, respectively (see Table 2), but no DC phase is formed.The next homologue BrF12 behaves differently; on heating this mixture a transition from the crystalline phase to the DC phase occurs at 40 C (see Fig. S7d-f †).On further heating a transition from the DC phase to the isotropic liquid takes place at 55 C. On cooling this mixture from the isotropic liquid the transition to the DC phase takes place at T $ 53 C followed by crystallization at 38 C. Interestingly, this crystalline phase is nearly isotropic and composed of domains with opposite handedness (see Fig. S7a-c †).The mixture of the next homologue BrF14 shows similar behaviour to that of BrF12, except that this weakly birefringent crystalline phase is achiral or the chiral domains are too small to be detected.Mixing the longer crystalline compounds BrF16 and BrF18 with 5-CB does not give any DC phases (see Table 2).
5][26] It appears that these phases are formed by smaller nano-domains instead of long helical nano-laments, in line with the results of the XRD studies showing relatively broad wide angle scatterings.Because no extended laments are formed, no gel-like networks of these bers are possible and therefore these compounds can take up only a limited amount of 5-CB, which is directly incorporated between the bent-core molecules and thus reduces the stability of the DC phases.The highest tendency for DC phase formation appears to be provided by the medium chain compounds BrF12 and BrF14.Comparison with results obtained with related compounds indicate that the 5-CB mixtures of compounds BrFn behave very similar to the 5-CB mixtures of the iodo compounds IFn, 43 whereas for the 4methylresorcinols Mn the DC phases in the mixtures have higher stability and their regions are shied to longer alkyl chain lengths (Table 2), indicating slightly more stable aggregates.

Comparison of different types of 4-substituted resorcinol based BCLCs with azobenzene units
In Table 3 compound BrF12 is compared with the nonsubstituted compound H12 (ref.52) and related BCLCs with   So, overall, large substituents in the 4-position at the resorcinol core appear to be favourable for DC phase formation, although there is an additional effect of peripheral F-substitution.Obviously the effect of peripheral uorine substitution is the reverse for BCLCs with polar and non-polar substituents Y.While for the methyl-substituted compounds the introduction of F removes the DC phase and a SmCP A phase is formed, for compounds with large polar halogens (Br, I) introduction of peripheral F-substitution induces DC phases.The reason for this behaviour is not yet clear.
As can be deduced from the comparison in Fig. 2a and 6a, the transition enthalpy values of the DC-Iso transitions and the corresponding transition enthalpy values of the iodine substituted compounds IF8-IF14 and for the bromine substituted analogues BrF8-BrF14 are in the same range, once again conrming the similarity between the DC phases of the two series, already concluded from the similarity of the XRD patterns.Nevertheless, the DC-Iso transition temperatures and the related transition enthalpy values of compounds IFn are slightly higher (by $3 to 10 K and $2 to 6 kJ mol À1 , respectively) than those of their bromine substituted analogues BrFn.This might be due to the increased polarizability provided by iodine, increasing the attractive dispersion forces between the molecules.In line with increased intermolecular interactions a denser packing of compounds IFn could provide a stronger effect of molecular conformational chirality (helicity) on the aggregate stability and aggregate size.Also the observation that compounds IF8-IF14 exhibit exclusively the DC phases and do not show any crystallization, while compounds BrF8-BrF14 show crystalline phases in the rst heating and thus form monotropic DC phases (though, the DC phases once formed  ¼ synclinic tilted SmC phase composed of SmC s P F domains with randomized polar directions, homeotropically aligned samples of this phase are composed of a conglomerate of chiral domains; SmC s P F ¼ polar SmC phase composed of enlarged ferroelectric domains; M 1 ¼ highly viscous antiferroelectric switching SmC phase; SmCP A ¼ antiferroelectric switching SmC phase (B2 phase); SmC s P A ¼ synclinic tilted antiferroelectric SmC phase (B2 phase); for other abbreviations see Table 1.b Crystal volumes of Immirzi. 53c Dipole moments of the corresponding phenyl derivatives. 54d Unpublished data.also do not crystallize) is in line with a stronger distortion of the long range molecular packing in the case of the iodo compounds.This could be attributed to the larger size of iodine compared to Br, which could provide a stronger helical twist of the molecular conformations.
Comparison of the series BrFn (Fig. 2a) with the methylsubstituted compounds Mn (Fig. 6b) with chain length n ¼ 10-14 indicates about 10 K higher DC-Iso transition temperatures for the compound having the more polar bromine substituent (and an additional peripheral F-substituent).The DC-Iso transition enthalpy values are comparable in both series, but for compound Mn there is a much stronger enthalpy increase upon chain elongation and in this case alkyl chain crystallization signicantly contributes to the transition enthalpies. 44There are clear difference also in the XRD patterns of the methyl substituted and the halogen substituted BCLCs (see Fig. 5a), indicating that the DC phases of compounds Mn are different from those of BrFn and IFn.The presence of only lower harmonics (up to the 4 th ) of the layer reections (5 th and 6 th order harmonics of the layer reections has been reported for typical B 4 phases, see for example Fig. 5b (ref.21)) and the signicantly increased broadness of the wide angle scatterings indicates a stronger distortion of layer structures and lament formation in the case of the halogen substituted compounds.This is also in line with the reduced resistance of the DC phases of compounds BrFn and IFn against dilution with the nematic phase of 5-CB (see Table 2).
DFT calculations of the model compounds F1, Br1, I1, M1 and CN1 with n ¼ 1 were performed with the Gaussian 09 package, 55 using the B3LYP functional and LANL2DZ basis set using the solvation model IEFPCM in solvent chlorobenzene to investigate the effects of the 4-substituents on the bending angle (g) and on the twist of the wing groups in the lowest energy conformation.The results are summarized in Fig. 7 where two different projections are shown and in Table 4, providing numerical values of bending angles g and twist angles a and b.In Fig. 7a the view is perpendicular to the resorcinol ring and in Fig. 7b the view is parallel to this ring along the wing in the 3-position.For all compounds, except CN1, the bending angle g is not signicantly affected by the 4substituent and is around 120-123 in all cases (see Fig. 7a and Table 4).Only for CN1 it is increased to about 130 due to the dipole interactions between the CN group and the adjacent C]O group, in line with previous investigations. 56This contributes to the very different behaviour of the cyanoresorcinols CNn (ref.31 and 32) compared to the other considered compounds (see Table 3).
The azobenzene units themselves are linear and the benzene rings in these wings as well as the C]O groups of the carboxylate groups are nearly coplanar in all cases.Different minimum energy conformations result from the twist of the planes of the azobenzene wings with respect to the resorcinol core and thus to each other, leading to chiral conformers for all investigated compounds.The angle a 1 , which describes the twist between the plane of the azobenzene wing in the 1-position with respect to the plane of the resorcinol core, is around 50 for all halogen substituted compounds.Larger differences can be found for the twist a 2 of the azobenzenes in the 3-position which changes between a 2 ¼ 49 and 109 (see Fig. 7b and Table 4).Overall, the effective twist between the planes of the two azobenzene wings b increases in the order F < Br < CH 3 < I roughly in line with the growing size of the 4-substituent (see cv in Table 3; only the effect of the CH 3 group is larger than that of Br though their volumes are nearly equal).This is in line with the observed tendency of these molecules to form DC phases.Accordingly, no DC phase was found for any of the resorcinol and 4-uororesorcinol derivatives, whereas DC phases were found for compounds with Y ¼ Br, CH 3 and I.Although for Y ¼ CN the twist angle b is the largest, these molecules behave differently, due to the increased bending angle (g $ 130 ) and the possibility of antiparallel compensation of the very large dipoles of these groups.Therefore, these CN-substituted compounds do not form DC phases, but preferably form nematic and SmC phases.Nevertheless, the large twist in the low energy conformation might be responsible for the formation of chiral domains in some of the birefringent SmC phases of these compounds (SmC s P R [ * ] ). 31,32ased on the combination of experimentally observed structure property relationships (Table 3) and results of DFT calculations the following relationships between the molecular structure and formation of DC phases can be hypothesized.As the azobenzene wings are completely at the only source of conformational chirality is in this case the central part of the molecules, i.e. the connections between the resorcinol core and azobenzene wings.For this reason the substitution in position 4 at the resorcinol is important and has a signicant effect on the molecular conformation and hence the ability to form DC phases.Due to the rigidity of the azobenzenes the conformational chirality provided by the core has a strong effect on the overall molecular shape, providing a strong distortion to any packing in layers/laments, thus leading to strongly distorted types of semicrystalline DC phases. 57In contrast, other typical wing groups such as phenylbenzoates, 2 benzylideneanilines 58 and biphenyls 2 can themselves easily adapt twist conformations and can therefore contribute to the overall conformational chirality.In line with this, for such compounds a bulky substituent in the central core unit is not required for DC phase formation.Moreover, as the helical twist can arise in the peripheral wing units the molecular shape is less distorted and such compounds can more easily adapt to the organization in twisted layers and extended helical laments, predominately leading to the previously reported types of DC phases, the LC smectic sponges (phenyl benzoates) and the so crystalline HNF phases (benzylidene anilines), respectively.

Conclusions and summary
Bent-core molecules derived from 4-bromoresorcinol with peripherally uorinated azobenzene wings (BrFn) represent new materials forming optically isotropic DC phases composed of conglomerates of uniformly chiral domains, which can be observed for a chain length range n ¼ 8-14 as the only mesophase, whereas shorter and longer homologues form only birefringent crystalline phases.The DC phases of compounds with n ¼ 10-14 are stable down to ambient temperature and do not crystallize even aer prolonged storage.For related compounds without the peripheral uoro substitution (Brn) a DC phase was observed for only one homologue (n ¼ 10) as a monotropic phase, whereas the other homologues form monotropic nematic and B 6 phases. 47his indicates a strong DC phase stabilizing effect of peripheral F substitution in this case, which is reverse to the  a b ¼ twist between the planes of the azobenzenes, calculated according to b ¼ (90 À a 1 ) + (90 À a 2 ), where a 1 and a 2 represent the twist angles of the planes of the azobenzenes with respect to the plane of the resorcinol unit, (a 1 azobenzene in the 1-position, a 2 in the 3 position); g ¼ bending angle which is calculated as the angle between the lines connecting the terminal ether oxygens at the azobenzenes with the carbon atoms 1 and 3 of the resorcinol core, respectively.
4-methylresorcinols, for which DC phases were found for the non-uorinated compounds Mn whereas the uorinated compounds MFn form antiferroelectric switching SmCP A phases (B2 phases). 44RD investigations and the relatively high viscosity of these DC phases indicate that they do not belong to the uid sponge type smectic LC phases, but are more related to the so crystalline HNF phases.However, in contrast to the classical HNF phases the helical nano-laments appear to be not well developed, so that the helical twist gives rise to a strongly disordered structure formed by nanoscale twisted domains of crystallized aromatic cores separated by disordered alkyl chains.In this way the DC phases are similar to those formed by the related 4-iodoresorcinol derivatives, 43 but distinct from those formed by the previously reported B 4 type HNF phases of the benzylideneanilines. 24It is thought that for the compounds BrFn the laments are disrupted into smaller segments, as also proposed for the methyl substituted compounds Mn, and it appears that the degree of disruption increases in the order Mn < BrFn < IFn.
DFT calculations allowed the estimation of the effects of the substituents Y on the minimum energy conformers.This indicates that the azobenzenes themselves are at and that mainly steric effects of the substituent Y lead to an increase of the twist between the planes of the azobenzene wings with increasing size of Y.This appears to be favourable for chiral segregation and layer distortion, due to the difficulty in the parallel packing of these highly twisted molecular species.The strong layer distortion is thought to be responsible for the preferred formation of twisted nano-domains instead of sponge-like deformed layers or extended helical nano-laments.
The effect of polarity on the molecular conformation is the strongest for the CN substituted compounds, giving rise to a less bent (more rod-like) molecular shape, which appears to be unfavourable for formation of DC phases, but favours the formation of nematic and SmC phases.Nevertheless, the strong twist between the planes of the azobenzenes leads to a high "strength of chirality" of the energy minimum conformers which allows chiral segregation even in some of their polarization randomized SmC phases (SmC s P R [ * ] phases).
In summary, the development of new types of DC phases depending on the molecular structure was investigated in a systematic way.Relationships between the molecular structure and formation of distinct types of DC phases were found and possible reasons for these relationships were hypothesized.We believe that this study will contribute to the improvement of the general knowledge about DC phases and the mechanisms of achiral symmetry breaking in so matter as well as to the design of new molecules showing DC phases.BCLCs involving azo linkages are also very versatile materials due to their photochromic effects and high birefringence.Moreover, the trans-cis photoisomerization of the azobenzene wings in these BCLCs could lead to interesting perspectives for chirality switching and phase modulation by interaction with nonpolarized, linear or circular polarized light, i.e. to unique and potentially useful multifunctional chiral materials for application in high-density data storage systems, sensors, photonic switches and molecular logic gates. 59,60as well as with potential for discrimination of chiral physical forces and molecular species.

Fig. 1
Fig. 1 Textures of the DC phase of compound BrF12 at T ¼ 80 C: (b) between crossed polarizers and (a) after rotating one polarizer by 7 from the crossed position in clock-wise direction and (c) in the anticlockwise direction, showing dark and bright domains, indicating the presence of areas with opposite chirality sense.

Fig. 2
Fig. 2 (a) Dependence of DC-Iso transition temperatures (on heating and cooling scans with 10 K min À1 ) and transition enthalpy values (on cooling from the isotropic liquid) of compounds BrF8-BrF14 depending on alkyl chain length n and (b) DSC heating and cooling curves of compound BrF12 with a rate of 10 K min À1 .
Fig. 5a shows a comparison of the 2q-scans of the DC phases of the related compound M14 (Y ¼ CH 3 ), BrF14 (Y ¼ Br) and IF14 (Y ¼ I) all having the same chain length.It clearly indicates that, though the position of the 10 reection is nearly identical in all cases, the positions and intensities of the medium and wide angle scattering maxima are very distinct for the halogen substituted compounds IF14 and BrF14 compared to the methyl substituted compound M14.The scattering intensity of the iodo compounds IFn is the lowest, followed by the bromine

Fig. 3
Fig. 3 (a) 2D XRD pattern of the DC phase of BrF8 at T ¼ 90 C, the inset shows the small angle region; (b) 2q-scans over this XRD pattern; (c) dependence of d-values, molecular lengths (L mol ; the used conformation is shown in Fig. S6 †) and cluster size (determined using the Scherrer equation and assuming K ¼ 1) in the DC phases of compounds BrF6-BrF14 on the chain length.

Fig. 5
Fig. 5 (a) Comparison of the 2q-scans of the DC phases of compounds BrF14, IF14 and M14 (base line is shifted for better visibility; the scattering intensity of the IFn compounds is so low that scattering by air contributes to the diffuse scattering in the medium angle range (5-10 ) of the XRD pattern of these I-substituted compounds) and (b) typical 2q-scans of a HNF phase (B 4 phase) of a benzylideneaniline based bent-core mesogen (P-8-OPIMB) reproduced with modifications and permission from ref. 21, copyright RSC 2009.

other substituents in the 4 -
position of the resorcinol core, like halogens (Y ¼ F, Cl, I), methyl and cyano.Comparison of the different azobenzene based BCLCs (all with n ¼ 12) indicates that there is a tendency for reduction of the melting points by the substituents Y which becomes the more important the larger these substituents are.Thus LC phases can be observed for most of the 4-substituted compounds, whereas the nonsubstituted compounds H12 and HF12 represent relatively high melting solids.There appears to be a dependence of the phase type on the volume of Y (crystal volumes cv of Immirzi53 ) and the polarity of the C-Y bond (dipole moments m of the Ph-Y compounds54 ).For molecules with X ¼ H and having polar substituents Y at the resorcinol core no LC phase is observed (Y ¼ F, I) or nematic phases are dominating (Y ¼ Cl, Br, CN), whereas the nonpolar methyl group is obviously favourable for the formation of DC phases (compound M12).Introducing peripheral F-substituents increases the tendency for formation of polar SmC phases (SmCP A ) if the 4-substituent is small (Y ¼ F, Cl, CN).Formation of DC phases is only supported by peripheral uorination of BCLCs with large and polar substituents Y (Y ¼ Br, I).

Fig. 6
Fig. 6 Dependence of DC-Iso transition temperatures (on heating and cooling scans with 10 K min À1 ) and transition enthalpy values (on cooling from the isotropic liquid) of two series of compounds related to BrFn (a) the 4-iodine-substituted compounds IF8-IF14 (ref.43) and (b) the 4-methyl-substituted compounds M10-M20 (ref.44) depending on the alkyl chain length n.

Fig. 7
Fig. 7 Energy minimized molecular conformers of the model compounds (n ¼ 1) as observed under two distinct perspectives, (a) perpendicular to the plane of the resorcinol core indicating changes of the bending angle g and (b) along the azobenzene wing in the 3-position and parallel to the plane of the resorcinol core, indicating the distinct degrees of twist between the two planes of the azobenzene wings; the angles a 1 , a 2 and g are explained for F1.

Table 2
Phase transition temperatures and mesophase types of 1 : 1 mixtures of 5-CB and compounds BrF8-BrF18 and comparison with related 4-methylresorcinol derivatives M14-M18 a (ref.44) a Transition temperatures were taken from the observed textures using the polarized optical microscopy; abbreviations: N ¼ nematic phase; Cr [*] ¼ crystalline phase composed of a conglomerate of chiral domains; for other abbreviations please see Table1.

Table 3
Phase transition temperatures (T/ C) and mesophase types as observed for different types of 4-substituted resorcinols (Y) with azobenzene wings and the effect of peripheral F-atoms (X ¼ H, F) a s P A 70) M 1 75 SmC s P F 83 SmC s P R [*] 96 SmC 127 N 137 Iso 32 CNF12 CN F Cr 104 SmC s P A 108 SmC s P R [*] 135 SmA 147 Iso

Table 4
Selected parameters of the energy minimized conformers obtained by DFT calculations of the distinct model compounds Y1 (n ¼ 1) depending on the 4-substituent Y at the resorcinol core a