Nematic 4-cyanophenyl esters incorporating a lateral fluorine atom Hp. Schad, S.M. Kelly To cite this version: Hp. Schad, S.M. Kelly. Nematic 4-cyanophenyl esters incorporating a lateral fluorine atom. Journal de Physique, 1985, 46 (8), pp.1395-1404. <10.1051/jphys:019850046080139500>. <jpa-00210083> HAL Id: jpa-00210083 https://hal.archives-ouvertes.fr/jpa-00210083 Submitted on 1 Jan 1985 HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés. J. Physique 46 (1985) 1395-1404 Ao8T 1985; 1395 Classification Physics Abstracts 61. 30G Nematic 4-cyanophenyl Hp. Schad and S. M. Brown Boveri Research esters incorporating a lateral fluorine atom Kelly Center, CH-5405 Baden, Switzerland (Reçu le 4 fevrier 1985, accepte le 28 mars 1985) Les propriétés diélectriques, diamagnétiques et élastiques de divers esters de fluoro-2 et fluoro-3 pcyanophényle ont été étudiées. Les esters sont dérivés des acides benzoiques, cyclohexacarboxyliques ou bicyclooctancarboxyliques. Pour permettre la comparaison, les propriétés des esters non fluorés correspondants ont été mesurées. Nous discutons du changement des propriétés des esters, soit qu’ils diffèrent par la composition du noyau de la partie acide ou par la position de l’atome de fluor. Les propriétés physiques dépendent largement de la présence et de la position de l’atome de fluor. Un de ces esters présente une très forte anisotropie diélectrique. Résumé. 2014 Abstract. We have investigated the dielectric, diamagnetic, and elastic properties of various 2-fluoro- and 3fluoro-4-cyanophenyl esters. The esters are derivatives of benzoic, cyclohexane or bicyclooctane acids. For comparison we also measured the same properties of the corresponding non fluorinated esters. The change in the properties of the esters with either variation of the ring in the acid part of the ester with fixed position of the fluorine atom or with variation of the position of the fluorine atom with fixed ring structure is discussed. The physical properties of the esters have been found to be strongly dependent upon the presence and position of the fluorine atom. A very large value for the dielectric anisotropy of one of the esters has been determined. 2014 1. Introduction.. Compounds with one strong dipole (usually provided by a nitrile function) in a terminal position are essential components of nematic mixtures for liquid crystal displays such as the twisted nematic [1] and the guesthost displays [2]. These compounds exhibit large dielectric anisotropies which are compatible with the low threshold voltage values required for these electrooptic effects. The values and the temperature dependence of the dielectric and elastic constants of the nematic phases of these compounds are very important for the optimum performance of the above mentioned displays. In order to study the effect on parameters of an additional dipole attached to these the same ring as the nitrile group we have synthesized ester derivatives of 2-fluoro- and 3-fluoro-4-hydroxybenzonitrile. The acid part of the esters contains either cyclohexane, or a bicyclooctane ring. synthesis and liquid crystal transition temperatures of these esters are reported elsewhere [3, 4]. In this publication we report values a 1,4-disubstituted benzene, or a The for the dielectric and elastic constants and the diamagnetic anisotropy of representative homologues of these compounds. The strong terminal dipole moment of the cyano group generally gives rise to strong molecular correlation [5]. In a simple model such cyano compounds can be described as a binary mixture consisting of virtually uncorrelated molecules (monomers) and pairwise associated molecules (dimers) which are in dynamic, temperature dependent equilibrium [6]. position of the nitrile dipole leads to antiparallel configurations with the exact form of the overlap depending on the charge separation within The terminal the molecules and on steric factors. A consequence of the antiparallel arrangement of the molecules is that the dipole moment of the dimer is zero and the effective dielectric constants are smaller than without association. This is because only the dipole of the monomer contributes to the orientational part of the polarization. A second consequence is that the length/breath ratio of the dimer is greater than that of the monomer (depending on the geometrical anisotropy of the dimer). Thus the nematic to isotropic phase transition temperature (TNI) is higher than without association [4]. The degree of the molecular correlation and the form of the dimers of the fluorosubstituted esters and their influence on the physical properties (in particular on the dielectric constants and nematic-isotropic transition temperatures) are of marked interest. Article published online by EDP Sciences and available at http://dx.doi.org/10.1051/jphys:019850046080139500 1396 2. ExperimentaL The experimental methods for the determination of the liquid crystal transition temperatures, density, dielectric, diamagnetic, and elastic constants have been described and discussed elsewhere [5]. The accuracy of the data is ± 0.2 OC for the transition temperatures (TNI), + 0.1 for the dielectric constants, ± 0.001 for the refractive index of the isotropic phase (ni), ± 4 % for the diamagnetic anisotropy (Ax), and ± 4 % for the elastic constants (k11’ k22, k33). The derived correlation factor (g) is accurate within ± 5 %. The particle number density N is calculated from the relationship p/M. L, where p is the density ( ± 5 x 104), M is the molecular mass, and L is Avogadro’s number. 3. Results and discussion. The molecular structures of the compounds investigated and values for some of their physical properties are shown in tables la-d. The data for the isotropic phases (indicated by the index i) were measured just above the nematic to isotropic transition and those for the itematic phases at t,,(= TITNI) 0.95. The complete data of the temperature dependences of the dielectric, diamagnetic, and elastic. properties are given in table III. The data for two of the non fluorosubstituted compounds (4 and 7) have been already published [5, 7] but are recorded in the tables for purposes of comparison. 3.1 DIELECTRIC CONSTANTS. The temperature of the dielectric constants is shown for dependence the benzoates (compounds 1-3) in figure 1, for the heptyl homologue of the cyclohexane compounds (4-6) in figure 2, for the pentyl homologue of the cyclohexane compounds (7-9) in figure 3, and for the bicyclooctane compounds (10 and 11) in figure 4. The « saturation » in the dielectric anisotropy As = E - B1. at lower F; temperatures for the 2-substituted esters (X, X2 H) is most unusual (see also Fig. 5) and will be discussed below (E is the dielectric constant with the electric field parallel to the optical axis and B 1. that perpendicular). Associating liquids are well described by the formalism given by Kirkwood and Froehlich [8] who introduced a factor g to represent the degree of the correlation of the molecular dipoles ( g 1 means no correlation and g 0 means complete correlation). The factor g can be regarded (using the simple model of unassociated molecules (monomers) and associated molecular pairs (dimers)) as the proportion of the free molecules in the binary mixture [6]. The temperature dependence of g is a consequence of the temperature dependent equilibrium. Values for g can be calculated from the Kirkwood-Froehlich equation [9] provided the parameters referred to below are known. The density, the refractive index and the dielectric constants can be determined experimentally. The molecular dipole moments of the free molecule can normally be calculated from tabu= Fig. 1. as pound lower The dielectric constants ell, s, and 8; of compounds functions of reduced temperature. For every comEis represented by the upper curve and El by the - 1 to 3 curve. - = = = = The dielectric constants of compounds 4 to 6 Fig. 2. functions of reduced temperature. - as lated group and bond moments [10,11]. In the case of the fluorine substituted esters an approximation must be made, since the resulting dipole moment depends on the orientational correlation of the dipoles of the 1397 The dielectric constants of Fig. 3. functions of reduced temperature. - compounds 7 to 9 as Fig. 11 5. as The dielectric constants of compounds 2, 8, and functions of reduced temperature. - ketone function and the fluorine atom is assumed. The experimental data for the refractive indices are listed in table I and the derived dipole moments and the calculated correlation factors are collated in table II for compounds 1-9. The values of the dipole moments of the molecules with the fluorine atom in 3-position (X I H ; X2 F) are larger while those with the fluorine atom in 2-position (Xl F; X2 H) are smaller than those of the unsubstituted compounds (XI X2 H). The same sequence is shown for the isotropic dielectric constant E; and the dielectric anisotropies (see Table Ia-d), because the differences in the squares of the dipole moments which are determining factors [8] are larger than the differences in the correlation factors of the esters. It is clear from the g-values in table II that the degree of molecular association of the fluoro-substituted esters is lower than that of the non fluoro-substituted esters. In the case of the cyclohexane esters (4-9) the 2-fluorosubstituted compounds (5 and 8) show the lowest degree of association. In the case of the benzoates (1-3) the 3-fluoro-substituted ester (3) exhibits no association whatsoever (g 1). The lack of association combined with the large dipole moment of 6.1 D leads to the very high positive dielectric anisotropy (As --- 50) found for this compound. The isotropic dielectric constant si of compound 3 shows the 1/T dependence typical for non associating polar liquids. The large dielectric anisotropy (As) of the ester (3) and the small values for its elastic constants (see Tables I and III) give rise to a very low threshold voltage (0.3 V) for a twisted nematic display containing this = = = = = = 4. The dielectric constants of compounds 10 and 11 functions of reduced temperature. Fig. as - ester group and the fluorine atom. As the rotation of the phenyl part of the molecule about the carbonoxygen single bond of the ester group is sterically hindered an average between the extreme cases of free rotation and antiparallel arrangement of the compound [12]. = 1398 Table I. The physical properties of compound 1 to 12 (TNI transition temperatures ; molecular weight M ; particle number density Ni’ and dielectric constant 8¡ in the isotropic phase ; the birefringence An, dielectric anisotropy A E and diamagnetic anisotropy A x, elastic constants of splay k11, twist k22, and bend k33 deformations in the nematic phase). The data for the isotropic phases were measured just above T NI and for the nematic phases at tr ( TI TNI) = 0.95. - = Ia : Compounds 1 to 3. 1399 TABLE I (continued). 1400 Table II. Table III. 11 as - - Calculated molecular dipole moment p of compounds The dielectric constants, the diamagnetic anisotropy a function of temperature. 1 to 9 and correlation coefficient g. AX, and the elastic constants of compounds 1 to 1401 TABLE III (continued) - 1402 TABLE III (continued). The dielectric mean 8 Fig. 6. (EI, + 2 El)/3 and si compounds 2, 8, and 11 as functions of reduced tempe- = of The temperature dependence of the association (when present) may complicate the temperature behaviour of the dielectric constants, as was found for the esters with substitution in the 2-position (see Fig. 6). E; and 7 (E11 + 2 sl)/3 exhibit a curved temperature dependence and for Ae a saturation is observed at a low reduced temperature (see Fig. 5). Although the association is presumed to be affected only weakly by the long range order of the nematic phase, the analysis is rather difficult due to the anisotropic internal fields. rature. = 3.2 DIAMAGNETIC ANISOTROPY AND ELASTIC CONSThe diamagnetic anisotropy of the esters TANTS. exhibits the normal temperature dependence (see Fig. 7). The values for the benzoates are three times as large as those of the cyclohexane and bicyclooctane compounds due to the presence of two aromatic rings. The bicyclooctanes have slightly lower values than the cyclohexane compounds (presumably due to a smaller particle number density). The elastic constants of the esters containing benzene (1-3), cyclohexane (4-6), and bicyclooctane (10, 11) rings are shown in figures 8-10. For each ester k33 > kll > k22 (except (5) where, close to T, k33 kl l). The compounds with the fluorine atom in the 2-position (Xl F; X2 H) possess the constants elastic and those with the fluorine largest atom in the 3-position (Xi =’ H; X2 F) possess the smallest elastic constants. The k33/ki i ratio, which is important for multiplexed addressing of the twisted nematic display (it should be 1), is shown in figure 11. As is usually found for bicyclooctane derivates [13, 14] the k33/ki l values of the bicyclooctane esters (10 and 11) are very large (> 2). - = = = The diamagnetic anisotropy of compounds 1 to 7. 10 and 11 as a function of reduced temperature. Fig. - 6, The lowest value of k3-3/k11 is observed for the heptyl homologue of the 2-fluoro-substituted cyclohexane ester (5). The corresponding pentyl homologue exhibits a much higher k33/kll ratio (see Tables Ic and III). 1403 Fig. 10. The elastic constant k33 of the bend deformation compounds 1-6, 10 and 11 as a function of reduced Fig. 8. The elastic constant k 11 of splay deformation for compounds 1-6, 10 and 11 as a function of reduced tempe- for rature. temperature. r- Fig. for The elastic constant k22 of the twist deformation compounds 1-6, 10 and 11 as a function of reduced 9. - temperature. - Fig. as a The ratio k33/kll of compounds 1-6, 10 and 11 function of reduced temperature. 11. - 1404 Thus the ratio of the elastic constants k3 3/k 11 depends much more directly on the length of the alkyl chain than on the position of the fluorine substituent 3 . 3 CONCLUSION. In this paper we have investigated the variation in the dielectric, diamagnetic, and elastic properties of 2-fluoro, 3-fluoro substituted 4-cyanophenyl esters and their unsubstituted analogues with either variation of the ring of the acid part with fixed position of the fluorine atom or with variation of the position of the fluorine atom with fixed ring structure. The diamagnetic anisotropy was found to depend mainly on the ring structure and not on the position of - the fluorine substitution. The elastic constants of the 2-fluoro components are larger and those of the 3" j fluoro components are smaller than those of the unsubstituted analogues. The analysis of the dielectrics constants showed that in addition to differences in the dipole moment the degree of molecular association also varied. The association is lowest for the benzoates and is presumably due to steric effects completely absent for one ester. In that case the combination of a large dipole moment with the lack of molecular association leads to large dielectric constants and a dielectric anisotropy of nearly 50. - - References [1] SCHADT, M. and HELFRICH, W., Appl. Phys. Lett. 18 (1971) 127. [2] SCHEFFER, T. J., Philos. Trans. R. Soc. London A309 (1983) 189. [3] KELLY, S. M., Helv. Chim. Acta, 67 (1984) 1572. [4] KELLY, S. M. and SCHAD, HP., Helv. Chim. Acta 67 (1984) 1580. [5] SCHAD, HP. and OSMAN, M. A., J. Chem. Phys. 75 (1981) 880 and references therein. [6] DANNHAUSER, W. and FLUECKINGER, A. F., J. Phys. Chem. 68 (1964) 1814. [7] SCHAD, HP. and OSMAN, M. A., J. Chem. Phys. 79 (1983) 5710. [8] BOETTCHER, C. J. F. and BORDEWIJK, P., Theory of Electric Polarization (Elsevier, Amsterdam) 1978, vol. II. [9] BORDEWIJK, P., J. Chem. Phys. 73 (1980) 595. [10] McCLELLAN, A. L., Tables of Experimental Dipole Moments (Freeman, San Francisco) 1963. [11] MINKIN, V. I., OSIPOV, O. A. and ZHADANOV, Y. A., Dipole Moments in Organic Chemistry (Plenum, New York) 1970. [12] SCHAD, HP. and KELLY, S. M., J. Chem. Phys. 81 (1984) 1514. [13] BRADSHAW, M. J., McDONNELL, D. G. and RAYNES, E. P., Mol. Cryst. Liq. Cryst. 74 (1981) 1567. [14] CONSTANT, J. and RAYNES, E. P., Mol. Cryst. Liq. Cryst. 74 (1981) 1383.
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