Fullerene C60 Containing Liquid Crystalline Codendrimers : Synthesis, Characterization and Application Natalia Yevlampieva *, Nikolai Beljaev *, and Robert Deschenaux + * V.A. Fock Institute of Physics, St. Petersburg State University, 198504 St. Petersburg, Russian Federation + Institut de Chimie, Université de Neuchâtel, 2009 Neuchâtel, Switzerland ABSTRACT Liquid crystalline fullerene C60 containing dendritic compounds of different design have been investigated. Mesomorphic and molecular properties of poly(benzyl ether)/poly(aryl ester) codendrimers bearing mesogenic groups have been analyzed based on the results of theirs study by electrooptical Kerr effect and total polarity determination in dilute solutions and on the results of modelling by quantum chemical semiempirical method PM3. The strategy of the design connected with the inducing of asymmetry to the dendritic core using fulleropyrrolidine as the branching centre and different chemical structure dendrons as fullerene addends was concluded the most promising for stimulation of self-organization of codendrimer molecules in the condensed phase. Specific fullerene microsegregation detected in the mesophase of poly(benzyl ether)/poly(aryl ester) codendrimers have been explained by the molecular anisometry and stiffness, responsible for the orientation of these compounds as a whole in solution under the influence of external electric fields and in condensed phases. INTRODUCTION Macromolecules of dendritic structure have received general acceptance as the nanosized building blocks in modern supramolecular chemistry and material science concerning to organic electronics. Normally, dendrons and dendrimers have well defined chemical structure, 3D-shape and terminal periphery, suitable for further modification, for instance, by mesogenic end-groups. The mesogenic groups’ interactions are able to stimulate self-organization and formation of well ordered condensed phase of macromolecules that is important for producing of thin specially organized photosensitive films and conducting materials [1]. Due to such properties mesomorphic dendrimers have a lot of preferable advantages in comparison with the ordinary linear structure polymers. Not far ago a fruitful idea to combine the polyester/polyether dendrons bearing cyanobiphenyl mesogenic end-groups with fullerene C60 as the branching center into the hybrid macromolecules had been realized, and synthetic methodology based on the modular approach for synthesis of dendritic compounds had been developed [2, 3]. Novel molecular design permitted significantly to reinforce the variability of physico-chemical properties of dendritic compounds and gave a possibility to create multifunctional materials with tunable properties [2-4]. An appearance of mesomorphic fullerene containing dendrimers initiated the research activity in the fields of plastic solar cells [5], organic light emitting diodes [6], photoactive dyads and polyades [7, 8]. The above-enumerated applications are directly connected with electron accepting properties of C60 [7]. Liquid crystalline fullerene containing dendritic compounds belong to relatively new class of multicomponent macromolecules which structure-properties and self-organization ability continue to be under consideration [9, 10]. From strategic 2-117 point of view the sphere-like shape of dendrimer is an obstacle for free ordering of terminal mesogenic end-groups bonded to dendritic core. Closed to spherical distribution of mesogenic end-groups around the core of dendrimer leads to the partial loss of theirs mesogenic ability. Traditional incorporation of long aliphatic spacers between the core and periphery is not very good decision in this case because of the initial unity of molecule practically disappears due to a separate behavior of dendritic fragment and mesogenic end-groups in such molecule. The acceptable solution of this problem may be achieved by another strategy of synthesis based on a special shift of the shape of dendritic core to more asymmetric one. The present contribution is devoted to investigation of structure-properties relations for fullerene C60 containing codendrimers composed of two different type dendrons (Fig. 1a) or dendrons of different generations (Fig. 1b). Poly(aryl esters) and poly(benzyl ethers) have been selected for the synthesis of codendrimers due to well known ability of these compounds to form Langmure, Langmure-Blodgett, multy- or monolayer films [1]. Mesomorphic behavior of poly(aryl esters)/poly(benzyl ethers) codendrimers bearing mesogenic end-groups is also discussed. Determination of permanent dipole values and the study of electrooptical Kerr effect [11] in dilute solutions have been used as the basic experimental methods for investigation of molecular properties of dendritic samples. Quantum-chemical simulation have been applied for the analysis of molecular polarity, for estimation of optical polarizability of building blocks of hybrid macromolecules, and for Kerr effect data interpretation. Quantum chemical calculations have been performed by semiempirical method PM3 in the framework of HyperChem program [12]. EXPERIMENTAL Dendrons D1, D2 (Fig. 1a) have been synthesized as described earlier [13, 14]. Two approaches have been utilized for the synthesis of fullerene containing dendritic compounds 1- 4. First approach is based on 1, 3-dipolar cycloaddition reaction of addends with fullerene C60 [15] and leads to fulleropyrrolidine derivatives (Fig. 1b, compounds 1-3). More details of this approach application for the synthesis of fulleropyrrolidines can be found in [3, 4]. The second approach, based on the addition of dendrons to C60 by applying Bingel reaction [16], produces methanofullerene derivatives (Fig. 1b, compound 4). Molecular properties of codendrimers 1-3, compound 4 and dendrons D1, D2 have been investigated in dilute benzene solutions at 21 oC. The permanent dipole moment values μ of compounds have been determined by Guggenheim-Smith method [17].This method is derived from the experimental determination of the dielectric permittivity increment (ε-εo)/c, where (ε-εo) is the difference between the dielectric permittivity of the solution and solvent, and from the determination of the squared refractive index increment (n2-no2)/c, where n and no are the refractive indices of the solution and solvent, respectively, and c is the solute concentration. Dielectric permittivity measurements were performed by a resonance technique at a frequency of 700 kHz using a standard capacity meter E12-1 and cylindrical titanium capacitor having its own capacity of 92.86 pF. Refractive indices n were determined using Pulfrich refractometer (IRF-23, Russia) with the line 578 nm corresponding to the wavelength of Hg-lamp. The permanent dipole moments were calculated according to equation (1). 2-118 μ2 = 27kT M [(ε-εo) / c - (n2-no2) / c] / [4πNA(εo2+2)2] (1) Here M is molecular mass, k is Boltsmann constant, T is absolute temperature, and NA is Avogadro’s number. Linear concentration dependencies of (ε-εo) and (n2-no2) were observed for solutions of all compounds under investigation. The increments (ε-εo)/c and (n2-no2)/c were determined from the slopes of the mentioned dependencies. Values of increments are reported in Table 1. Electrooptical properties of the compounds have been studied by equilibrium Kerr-effect method in radio frequency rectangular pulsed electric field [11, 18]. The specific electrooptical Kerr constant K and molar electrooptcal Kerr constant KM, connected with each other by equation (2), were determined for dendritic compounds. KM= 6n0 MK , (n02 2) 2 ( 0 2) 2 (2) n n0 ) c 0 ; (Δn - Δno) is the difference between optical E 2c birefringence of solution with the solute concentration c and optical birefringence of solvent, respectively; E is the electric field strength; the subscript c → 0 is symbolizing K value determination at the condition of infinite dilution. The others parameters of eq. (2) have been explained above. where K= ( The optical birefringence in solutions of 1-4, D1 and D2 under the treatment of the rectangular pulsed electric field have been measured with the impulse duration of 1 ms in the voltage range 0-1000 V. The compensatory technique with the photoelectric registration of optical birefringence value Δn was applied. The thin mica plate compensator having its own optical phase difference 0.01x2π was used. Glass cell with the titanium semi-cylindrical electrodes of 2 cm in length and with the gap between electrodes of 0.05 cm was employed. He-Ne laser (1.5 mW power) operating at 632.8 nm was used as the light source. The variation of optical birefringence value Δn as a function of E2 for different concentrations of 3 are shown in Fig. 2. No deviation from Kerr low (according to which, optical birefringence Δn is proportional to E2 in molecular dispersed liquids) was observed in solutions of 1-4, D1 and D2. The dependences of (Δn-Δno/E2c) as a function of solute concentration are shown in Fig. 3. The (Δn-Δno/E2c)c→o values were obtained at c = 0 and used for the calculation of KM according to equation (2). Compounds D1, 3 and 4 had liquid crystalline properties. Types of mesophases and phase transition temperatures have been determined using polarized microscope with the temperature gradient control 0.2 grad per minute. Characteristics of mesomorphic properties of the investigated samples are presented in Table 2. Glass transition temperature had not been detected for compounds 3, 4. Mesomorphic properties of dendritic compounds were not similar to same one of low molecular liquid crystal analogues to mesogenic groups of 3, 4, as follows from Table 2. RESULTS AND DISCUSSION 2-119 Realization of the declared in the introduction part strategy of synthesis of C 60 containing dendrimers have been started with fulleropyrrolidine derivatives that were composed of different generation number poly(benzyl ether) dendrons (Fig. 1b, compounds 1, 2). Determination of the permanent dipole moments and electrooptical properties of codendrimers 1, 2 have shown that molecular properties continue to stay very similar (see, please, μ and KM of 1, 2 in Table 1) when generation numbers and total number of polar groups significantly vary in these compounds. Thus, we have received experimental evidence that spherical shape of dendritic core will determine properties of codendrimers 1, 2 before its modification by mesogenic end-groups. By other words, this experience have shown that different generations of the same structure dendrons are not able to induce a significant change of the shape of dendritic molecule which sub-units (dendrons) are bonded to fullerene surface. The next step in realization of the declared strategy was connected with the synthesis of fulleropyrrolidine derivative 3 composed of different chemical structure dendrons (Fig. 1b). Poly(benzyl ether) dendron D2 of the third generation and the second generation of poly(aryl ester) dendron D1 of practically equal to each other hydrodynamic dimensions (see, please, d values in Table 1) have been selected for the synthesis of compound 3. Form asymmetry in the architecture of compound 3 was induced not only by the difference in chemical structure of dendrons bonded to C60, but also by the difference in molecular mass of D1 and D2 ( Table 1). Architecture of compound 3 was realized so, that it has a heavy “head”(D2) and strongly polar “tail” (D1), and that is similar to typical low molecular liquid crystal molecules, but at the level of dendritic structure molecules. The latter strategy brought an interesting result. The mesomorphic behavior and supramolecular ordering in mesophase of compounds 3 was not the same if compared with compound 4 in which structure two poly(aryl ester) dendrons D1 both bearing cyanobiphenyl mesogenic end-groups were bonded to fullerene surface (Fig. 1b) using traditional synthetic strategy. Methanofullerene derivative 4 and fulleropyrrolidine derivative 3 have appeared significantly different thermotropic liquid crystalline properties as one can see in Table 2. Dendrimer 4 has smectic A and very short nematic phase, when codendrimer 3 possesses rectangular columnar phase with the formation of fullerene layers between the dendrons detected by X-rays diffraction [4]. There was not detected fullerene segregation in mesophases of compound 4. Experimental data, received for D1, D2 and 3, 4, permit us to analyze molecular properties of codendrimer 3 in detail and to explain the difference of mesomorphic properties of 3 and 4. First of all, it may be pointed out that D1, D2 and 3, 4 have large in value permanent dipole moments, including compound D2 which has not mesogenic end-groups. Each mesogenic group of D1, 3 and 4 has large in value permanent dipole moment of 7.2 D according to quantum chemical calculation. Experimentally it was detected that compounds 3 and 4 are characterized practically equal to each other total polarity (see, please, μ in Table 1) in spite of number of strongly polar mesogenic groups in their content differ twice. Due to dendrons D1 and D2 have closed in value hydrodynamic diameters d, the compounds 3 and 4 also have similar size (d in Table 1), but the mass and polarity distribution are non equivalent in 3 and 4, that have been said above. These facts reflect an importance of structural difference between 3 and 4, but it is not enough sufficient to explain the difference in mesomorphic behavior of these compounds (Table 2). 2-120 Additional information on specificity of intermolecular organization of compound 3 and 4 has been received from theirs electrooptical properties. Elecrooptical Kerr constant KM of the substance directly depends on polarity, optical anisotropy and on the structural geometry of its molecules [11, 18]. It is well known that molar Kerr constant KM is an additive value in the case when separated fragments of molecule are able to be independent in their orientations under the treatment of external electric field [11, 18]. Multicomponent compounds 3 and 4 can be easily divided on some separate sub-units due to theirs individual structure. Because of this, it is possible to estimate the freedom degree of sub-units in 3 and 4 by means of comparison of experimental molar Kerr constants with the corresponding values calculated according to the additive scheme. It is self-evident that electrooptical properties of separated sub-units in objects under consideration need to be known. Quantum chemical modeling has been used for this purpose. Before the calculation of KM an important remark need to taken into consideration in relation to difference in the chemical structure of dendrons D1 and D2. The total polarity and the dependent on polarity electrooptical properties of dendron D1 are fully determined by mesogenic end-groups in contrast to dendron D2. Modeling has shown that the central part of D1 is highly symmetric nonpolar fragment (Fig. 4, Table 3). It means that electrooptical Kerr effect in solution of compound 4 similar to D1 in a great measure will be connected with inputs of mesogenic groups. KM, cal value of single mesogenic group (its chemical structure may be seen in Fig. 1a) as well as KM, cal values of the model compound corresponding to the central part of D1 and of the fullerene derivatives analogues to the fullerene containing central fragment of compounds 3 and 4 (named FP and MF, correspondingly, Fig. 5) have been calculated with parameters accumulated in Table 3. Estimation of molar Kerr constant KM, cal according to additive scheme for multicomponent compounds 3 and 4 has been done as a sum (eq. (3)). KM, cal = Σ KMiWi , (3) i where KMi is the molar Kerr constant of i-fragment and Wi is its weight fraction value. The inputs of eight mesogenic groups, MF–sub-unit, and two polyaryl ester fragments (Fig. 4) without mesogenes have been taken for calculation of KM, cal for compound 4 through eq. (3). Correspondingly, the inputs of the fourth mesogenic groups, D2 (its experimental value KM was used), polyaryl ester fragment and FP–sub-unit have been taken for calculation of KM, cal for compound 3. The result of calculation presented in the last column of Table I shows very good coincidence between the calculated and experimental values of molar Kerr constant for compound 4; and at the same time an absence of coincidence can be declared for compound 3. This reveals that the rotational freedom of dendrons in compound 3 is significantly restricted. Furthermore, the fact that the experimental dipole moment value of 3 is practically the sum of the polarities of its both dendrons (see, please, μ column in Table 1) is another evidence of the structural stiffness of 3. Indeed, this situation is reached because D1 and D2 are stiffly linked in 3, and rotate synchronically in the external pulsed (in the case of Kerr effect study) and in the 2-121 external sinusoidal (in the case dielectric measurements) electric fields which were used in the framework of this study. Due to stiffness the molecules’ packing in the mesophase of compound 3 will have a macroscale character and will differ from the same process in the mesophase of compounds 4, having relatively free and mobile sub-units. Molecular stiffness well explain the specific segregation of sub-units detected by X-rays diffraction in the mesophase of compound 3, where microsegregation of fullerene have been detected [4]. CONCLUSION Mesomorphic fullerene C60 containing dendritic compounds of different architecture design have been compared based on their solution and mesomorphic properties Novel self-organization type have been detected and explained for poly(benzyl ether)/poly(aryl ester) codendrimer with fulleropyrrolidine as the branching center. It was shown that the core asymmetry and rigid linkage of dendrons in such codendrimers are responsible for molecular and mesomorphic properties of these compounds. Fullerene containing mesomorphic poly(benzyl ether)/poly(aryl ester) codendrimers can be considered as successful example of design of liquid crystalline substances reproducing anisometry-principle, peculiar to low molecular liquid crystals, at the level of dendritic structure macromolecules. REFERENCIES 1. Lehn J- M: Supramolecular Chemistry. Weinheim- New York, VCH, 1995. 2. 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Rjumtsev E, Yevlampieva N, Kovshik A: “The influence of aliphatic spacers position on molecular polarity and dielectric properties of liquid crystalline substances”. Russian J. Phys. Chem. 1995 69 (5) 934-939. CAPTIONS TO FIGURES Figure 1. Chemical structure of poly(aryl ester) dendron of the second generation D1, poly(benzyl ether) dendron of the third generation D2 (a), codendrimers 1-3 and compound 4 (b). Figure 2. Variation of the optical birefringence (Δn) versus E2 for codendrimer 3 in benzene at different solute concentrations: (1) pure solvent , (2) 0.353, (3) 0.635 and (4) 1.057·10-2 g cm-3. Figure 3. Concentration dependence of (Δn – Δn0)/E2c for 3, 4, D1 and D2 in benzene. Figure 4. Model of the central part of poly(aryl ester) dendron D1. Figure 5. Model compounds FP and MF analogues to the fullerene-containing central part of compounds 3 and 4, correspondingly. Table 1. Molecular weight (M), hydrodynamic diameter (d), permanent dipole moment (μ), dielectric permittivity increment (ε-εo)/c, squared refractive index increment ((n2-no2)/c), and molar Kerr constant (KM) of samples 1-4, D1 and D2. Compound M* d** Μ (ε-εo)/c (n2-no2)/c Å Debye cm3·g-1 cm3·g-1 KM, exp·108 KM, cal·108 cm5· (300V)-2 cm5 · (300V)-2 · mol-1 · mol-1 D1 2733 33 14.2±0.8 9.4±0.2 0.10±0.01 3.6 3.7 D2 4228 34 6.4 1.3 0.09 0.46 - 2-123 1 4097 - 8.1 2.1 0.10 0.99 - 2 7347 - 8.5 1.4 0.10 0.99 - 3 7679 45 19.2 6.2 0.13 11.4 1.8 4 5878 44 18.6 7.6 0.15 12.5 11.5 * Molecular mass M corresponds to structural formula; ** data from [19, 20]. Table 2. Mesomorphic properties of compounds under investigation. Compound C6H13-Ph-COO-Ph-Ph-CN * Phase transition temperatures, oC Tg→N 65o I 218o D1 Tg →SA 34o I 182o 4 SA →N 183o I 184o 3 Columnar→ I 152o N– nematic; SA – smectic A; Tg – glass state; I – isotropic state. * low molecular nematic liquid crystal analogues to mesogenic groups of D1 [21]. Table 3. Dipole moment (μ), mean polarizability value (bmean), anisotropy of optical polarizability (Δb) calculated by quantum chemical semiempirical method PM3 for fully optimized model compounds presented in Figs. 4 and 5 and for compound analogues to mesogenic group, and theirs molar Kerr constants (KM). Compound μ, D bmean х1024, cm3 Δb х1024, cm3 КМх1010 * MF 2.96 78.4 11.54 5.52 FP 1.18 86.9 21.49 19.12 Model of the central part of D1 0.01 38.0 47.35 93 Model of mesogenic group 7.20 39.4 50.99 220 * Kм = 2 π NA (θ1+ θ2) [11] , where θ1 = (45 kT)-1[(b1-b2)2 + (b2-b3)2 + (b3- b1)2] and 2-124 θ2 = (45 k2 T2)-1 [(μ12-μ22)( b1-b2) + (μ22-μ32)( b2-b3) + (μ32-μ12)(b3- b1)]; here bi are the main values of optical polarizability tensor, μi are the projections of dipole moment in the coordinate system, which abscissa-axis coincides with the principal direction of optical polarizability; i = 1, 2, 3; bmean=(b1+b2+b3)/3; Δb= [(b1-b2)2 + (b2-b3)2 + (b3- b1)2] ½. Figure 1a. 2-125 1 2 4 3 Figure 1b. 2-126 2,5 4 2,0 3 nx10 8 2 1,5 1,0 1 0,5 0,0 0,1 0,2 2 0,3 -4 2 0,4 0,5 -2 E x10 ((300V) cm ) 4 8 3 6 D1 10 5 -1 ((n-n0)/E c) x10 , cm g (300 V) -2 Figure 2. 2 4 2 D2 0,0 0,5 1,0 2 1,5 c x10 , g cm -3 Figure 3. Figure 4. 2-127 2,0 CH3 N FP CO2 C 2H 5 C 2H 5 CO2 MF Figure 5. 2-128 CO2 C 2H 5