Studies of Nanocomposites of Carbon Nanotubes and a Negative Dielectric Anisotropy Liquid Crystal Studies of Nanocomposites of Carbon Nanotubes and a Negative Dielectric Anisotropy Liquid Crystal

The complex specific heat is reported over a wide temperature range for a negative dielec - tric anisotropy alkoxyphenylbenzoate liquid crystal (9OO4) and carbon nanotube (CNT) composites as a function of carbon nanotube concentration. It has been observed that the combination of nanotubes (CNT) and liquid crystal (LC) provides a very useful way to align CNTs and also dramatically increases the order in the liquid crystal performance, which is useful in liquid display technology (LCD). The calorimetric scans were per formed between 25 and 95°C temperatures, first allowed cooling and then heating for CNT concentration ranging from ϕ w = 0 to 0.2 wt%. All 9OO4/CNT composite mesophases have transition temperatures about 1 K higher and a crystallization temperature 4 K higher as compared to the pure 9OO4 liquid crystal. A strongly first-order specific heat feature is observed, which is 0.5 K higher than in the pure 9OO4. The transition enthalpy for the composite mesophases is observed 10% lower than the pure liquid crystal. We interpret that these results arising from the LC-CNT surface interaction lead to pinning orienta tional order uniformly along the CNT, without pinning the position of the 9OO4 molecule. These effects of incorporating CNTs with LC are likely due to elastic coupling between CNT and LC. These effects of incorporating CNTs into LCs are likely due to an "anisotro - pic orientational" coupling between CNT and LC, the change in the elastic properties of composites and thermal anisotropic properties of the CNTs. a detailed calorimetric study on the effect of carbon nanotubes on phase transitions of the 9OO4/CNT nanocomposites as a function of CNT concentration. The com plex specific heat was measured over a wide range of temperature for negative dielectric anisotropy alkoxyphenylbenzoate liquid crystal (9OO4)/carbon nanotube (CNT) composites as a function of CNT concentration. The thermal scans were performed between 25 and 95°C, first cooling followed by heating scans, as the function of CNT concentration ranging from 0 to 0.2 wt%. All mesophases have transition temperatures 1 K higher and a crystallization temperature 4 K higher than that of the pure 9OO4. The crystal phase superheats until a strongly first-order specific heat feature is observed, indicating melting 0.5 K higher than in the pure 9OO4. The enthalpy change associated with I-N and N-SmA phase transitions is only slightly changed with increasing ϕ w but are generally lower than pure 9OO4. The total tran sition enthalpy associated with the all transitions is independent on the CNT concentration and thermal treatment. The bulk or pure-like behavior of the phase transitions is supported by the bulk-like 9OO4 ECE behavior of the SmA-SmC for the 0.05 wt% sample. We interpret that these results as arising from the LC-CNT surface interaction breaking orientational sym metry uniformly over a distance along the CNT greater than the nematic correlation length but allowing the LC to slide essentially freely on the CNT surface to accommodate various translational symmetries, leading to a net ordering effect for all transitions. These results suggest that the interactions between molecular structure, dipole moment of liquid crystal, and graphene-like surface can allow a random dispersion of CNT to promote both orienta tional and positional depending on the length of the local and the degree of surface freedom. observed incorporating CNTs with due to elastic between and to change in the properties of -posites. frequency-dependent via via


Introduction
Composites of nanoparticles with liquid crystal represent a unique physical system, where properties of the constituents fully mix and may lead to show new behavior. As of now, traditional composites are well understood, the superposition of component of the composites interfacial interactions play a very important role in holding the composite together. As the filler size shrink, the surface area begins to dominate, leading to unique behavior of the composites. Carbon nanotubes (CNT) and liquid crystals (LC) are good examples of such components. For large number of applications, the challenge lies in the alignment and ordering of CNTs to take advantages of their highly anisotropic thermal characteristics. Carbon nanotubes have emerged as a new category of nanosized particles for incorporation into different liquid crystal systems, attracting favorable interest from both basic level science research and industrial applications [1]. As a result of the exceptional properties of carbon nanotubes, the novel materials can be envisioned that exhibit property enhancements at lower concentration than in conventional composite technology [2]. In the research area of polymer nanocomposites, reported property enhancements include enhanced mechanical performance [3,4], higher thermal and electrical conductivity [5][6][7], and increased property of crystallization rate [8][9][10][11][12]. In addition to CNT's thermal, mechanical, and magnetic properties [13][14][15][16][17][18][19][20][21][22], their unique electrical properties make them potentially very useful materials for making nanoflexible electronic devices [2,[23][24][25][26]. Liquid crystals [27][28][29] are anisotropic fluids that exhibit thermodynamically stable phases between an isotropic liquid and a full, three-dimensionally ordered solid. In the nematic (N) phase, LCs show orientational order, and in the smectic-A (SmA) phase, the rod-like molecules are arranged in layers with their long axes on average, normal to the layer planes. They show both orientational and partial translational order characterized by a quasi-1-d density wave. The smectic phases incorporate the structures of materials with diverse symmetry groups [30], such as that of smectic-C (SmC), which has the layer tilting away from the director. In smectic-B (SmB) phase, the molecules show short-range hexagonal ordering within the layers but not from layer to layer, and it shows a short or longrange translational order. Higher order, lower symmetry, liquid crystalline materials have been studied because three of their industrial applications as well as important physical models of self-assembly [29,30]. When CNTs are dispersed in a liquid crystal, they can modify the physical properties and hence the phase behavior of the nanocomposite. Due to the specific surface anchoring between nanoparticle and LC, the nanoparticles can act either as nucleation sites for a given type of order or as disordering sites that stabilize the isotropic phase [31,32]. However, if the local ordering effects of CNT surfaces are randomly arranged, this can lead to a random-field effect [33] and an overall disordering of the composites. Investigations have been made on liquid crystal nanocomposites using optical microscopy and differential scanning calorimetry (DSC), finding an enhancement of the isotropic to nematic phase transition temperature and revealing a "chimney type" phase diagram over a narrow range of CNT weight percent between 0.001 and 0.002 wt% [34]. In fact, researchers found that the addition of CNT into LC increases the clearing point of LCs because of the strong attraction of CNT and LC [35]. However, other studies have found disordering effects of CNT on LC phase transitions [31]. Other work has shown improved electro-optical switching properties of nanocomposites in thermotropic or lyotropic liquid crystals and CNTs [36][37][38][39][40][41]. In liquid crystals, the effect of carbon nanotubes on the phase ordering of LC/CNT composites depends on the surface coupling of the molecule and graphene surface, as well as the distribution of those surfaces. In fact, it is also observed that aligned CNTs can cause an increase of the orientational order in the LC [42,43]. Such composites have been proposed as memory devices by exploiting their nanoelectromechanical properties [44,45]. Recently, investigations on LC/ CNT composites have shown that the CNTs can induce chirality in the bulk LC [46][47][48]. Most of the recent studies were focused on the nematic ordering and the isotropic (I) to nematic (N) phase transition behavior in LC/CNT composite scaffolds. In this study, we focus the phase transition behavior of the liquid crystal alkoxyphenylbenzoate (9OO4) doped with multiwall carbon nanotubes as a function of CNT weight percent. The incorporation of nanotubes in pure 9OO4 reveals that all mesophase transition temperatures and the crystallization transition temperatures shift upward. These results suggest that the interactions between molecular structure, dipole moment of liquid crystal, and graphene-like surface can allow the random dispersion of CNTs to promote both orientational and positional order. We interpret this effect in terms of pinning the director at the CNT surface with bulk-like scalar order parallel to the CNT long axis over distances that span multiple nematic domains while allowing the LC molecule to slide along the surface, accommodating four various positional orders. Our presentation is organized as follows: Following this introduction, Section 2 describes the preparation of the sample and modulated differential scanning calorimetry procedure, as well as the electroclinic procedure. Section 3 describes the calorimetric and electroclinic results of all phase transitions in the 9OO4/CNT system, Section 4 provides a discussion, and Section 5 provides conclusions of our work and future directions.

Material and sample preparation
The liquid crystal 9OO4 is a phenyl benzoate containing an oxoester linkage group with two alkoxy end groups (see Figure 1). The molecular mass for 9OO4 is Mw = 424.66 g/mol with an extended molecular structure approximately 4 nm long and 0.8 nm wide. For 9OO4, modeling suggests that due to the carbon = oxygen double bond in the oxoester linking group, the effective dipole moment of 9OO4 is approximately perpendicular to the long axis and average plane of the phenyl rings. The multiwall CNTs were obtained from Nanostructured and Amorphous Materials, Inc., and have an average outer diameter of 8-15 nm, an inner diameter 3-5 nm, a length of 500-2000 nm, and a distribution of different chiral structures [46]. To reduce aggregation, a small amount of CNTs were dispersed first in acetone and shaken using a mixer for 30 min, followed by sonication for 3 hours. The 9OO4 was added to the acetone + CNT mixture to Figure 1. The member of the 4-n-alkoxy phenyl-40-m-alkoxy benzoate homolog series denoted nOOm. In this study, n = 9 and m = 4 (9OO4). Note that the negative dielectric anisotropy is due to the O-C=O group in the benzoate group linking the two phenyl rings. Molecular modeling suggests that the effective dipole moment of about 2.5 is pointing approximately perpendicular to the twisted phenyl rings, essentially out of the page [58]. achieve the desired final weight percent ϕ w of CNTs. The mixture was then sonicated for 3 hours to facilitate good dispersion. Finally, the acetone was evaporated slowly and then allowed to degass under a modest vacuum in the isotropic phase of 9OO4 at ∼364 K (or 90°C) for about 2 hours. Microbalance is used to mass the mixture of composites to ensure complete removal of acetone before sealed in the experimental sample cell. This process was continuously repeated to prepare 0 (pure 9OO4), 0.008, 0.010, 0.025, and 0.200 wt% CNT samples and tested uniform dispersion with the help of microscopy. On cooling, pure 9OO4 exhibits the phase sequence I -87 -N -73 -SmA -62 -SmC -50 -SmB -35 -K (crystal), where temperatures are in Celsius; while on heating, melting occurs nearly 25 K higher, which is followed by a specific heat peak almost 2 K higher than the melting peak before entering the SmA phase. Further heating yields the N and I phases. Based on the imaginary specific heat ∆C ″ p behavior, the I-N transition is weakly first order, the N-SmA is continuous, the SmA-SmC is continuous, the SmC-SmB is first order, and the SmB-K is strongly first order. The initial melting from crystal is strongly first order followed by a second, weakly first order, Cp feature that indicates the presence of a narrow temperature range having a smectic-like texture, as seen under polarizing microscopy (labeled SmX) between the K and SmA phase on heating [49]. Unfortunately, the polarizing microscope images could not distinguish which type of smectic is the SmX region.

Modulated differential scanning calorimetry (MDSC)
Modulated differential scanning calorimetry (MTDSC/MDSC) allows for the simultaneous measurement of the evolution of both the heat flow and heat capacity. It is essentially the combination of traditional ac-calorimetry and DSC. This method allows for measuring the total heat flow of material, as well as its nonreversible and reversible heat capacities. A detailed description of the MDSC method can be found elsewhere [50][51][52][53][54][55][56][57]. MDSC experiments were performed using a Model Q200 from TA Instruments, USA. Prior to all measurements, temperature calibration was done with a sapphire disc, under the same experimental conditions used for all 9OO4/CNT samples. The analysis method used to extract the complex specific heat is based on linear response theory [50,58]. In general, a temperature oscillation is described as T(t) = T 0 + T˙0 t + A T sin(ωt), where T 0 is the initial temperature at time t = 0, T indicates the absolute temperature at time t, T˙0 represents the baseline temperature scan rate, A T is the temperature amplitude, and ω (ω = 2πf) is the angular frequency of the temperature modulation. The rate of temperature is also time dependent and is given by equation T˙(t) = dT/dt = T˙0 + Aqcos(ωt), where Aq represents the amplitude of temperature modulation r (Aq = ωAT). Since the applied temperature rate consists of two components, T 0 the underlying rate and Aqcos(ωt) the periodic rate. The measured heat flow H F can also be separated into two components in response to these temperature rates. The periodic component can be described by HFq = A HF cos(ωt − φ), where A HF represents the amplitude of the heat flow and φ is the phase angle between heat flow and temperature rate. The absolute value of the complex specific heat is written as C * p = A HF /mAq, where 'm' is the mass of the sample. The phase angle φ requires a small calibration to account for finite six thermal conductivities of the sample and cell, see Ref. [57]. The real part of specific C ′ p and imaginary part of specific heat C″ p are then given by C′ p = C * p cos(φ) and C″p = C * p sin(φ), which allows for a consistent definition for the complex specific heat. Typically, under equilibrium conditions, C″ p = 0 after φ calibration. The appearance of a peak-like nonzero C″ p feature commensurate with a peak in the real part of the specific heat indicates that this feature is a first-order transition and involves a latent heat. The excess specific heats were determined in order to isolate the contribution from the various transitions. A linear baseline was used over the entire temperature scan range in order to determine ∆Cp = C p − C baseline for both the real and imaginary parts of specific heat components, though C″p always exhibited a very shallow linear baseline that was very close to zero, indicating near equilibrium conditions for the experimental parameters used in this work. For specific heat features that are close in temperature, the wing of one peak is subtracted from the lower specific heat peak in order to isolate the excess specific heat of the lower temperature transition, denoted as δCp = ∆Cp − C wing , where C wing is a mimic function (polynomial) of the underlying wing. This calculation was only applied to the real component of the specific heat. The particular transition enthalpy component is simply the integration of the excess specific heat component over a consistent temperature range. Finally, for first-order transitions, the transition temperature (T IN , T CB , T BK , T KX , and T XA ) is determined as the highest temperature of the two-phase coexistence region indicated by the onset of nonzero values of ∆C″ p. For continuous transitions, the transition temperature is taken as the ∆C′ p peak temperature. We have tested quasi-equilibrium parameter such as scan rate, temperature amplitude, and modulation time period by varying different values above and below specified values of nearly equilibrium.

Electroclinic measurements
Details of the electroclinic effect experimental set up are described elsewhere [59]. Briefly, a cell of thickness d = 7.7 ± 0.1 μm was constructed from a pair of indium-tin-oxide-coated glass slides covered with a rubbed polyimide alignment layer. The cell was filled with 0.05 wt% CNT in 9OO4, which aligned in the planar direction. Light polarized at 22.5° relative to the director orientation was incident on the cell, subsequently passing through the cell, an analyzer, and into a detector. On applying an ac-electric field E at frequency f = 25 Hz across the cell, the director rotated in the cell's plane by an angle θ [∝ E], resulting in an ac intensity component Iac at frequency f, as measured by a lock-in amplifier. It can be shown [59] that the ratio Iac/4Idc corresponds to the spatially averaged rms director rotation θ, where Idc is the dc intensity measured at the detector. At each temperature, the electric field was ramped from 0 to 2.6 × 106 V/m (rms) over a time 450 s, and the results were fitted to a straight line. The electroclinic coefficient is defined as ec ≡ dθ/dE.

Results
For the pure 9OO4, calorimetry shows that the I-N phase transition occurs at T IN = 86.23°C, the N-SmA phase transition at T NA = 71.49°C, the SmA-SmC phase transition at T AC = 61.5°C, the SmC-SmB phase transition at T CB = 49.38°C, and SmB-Cry phase transition at TBK = 35.3°C in good agreement with literature values [49]. All the phase transitions are characterized by a distinct C p peaks at a nearly equilibrium scan rate of ±0.3 K/min (Figures 2-6). The strongly first-order melting followed by a second first-order C p feature indicates the presence of an intermediate phase (labeled SmX) between K and SmA on heating. The transition temperatures and enthalpies of pure 9OO4 on cooling and heating are presented in Tables 1 and 2.
Studies of Nanocomposites of Carbon Nanotubes and a Negative Dielectric Anisotropy Liquid… http://dx.doi.org/10.5772/intechopen.73391 For the I-N phase transition, the excess real specific heat signatures as a function of temperature about T IN for pure 9OO4 and 9OO4/CNT composite samples are shown in Figure 2. The ∆C′p of 9OO4/CNT for the I-N transition phase is steeper and narrower than in the pure 9OO4, with the peak maximum nearer the high-temperature side of the coexistence region. The ∆C′p and C″p behavior are consistent on heating and cooling, as well as being reproducible after multiple thermal cycles. The ∆C′p wings above and below the I-N transition match each other and that in pure 9OO4 on heating and cooling. The ∆C′p peak height for cooling and heating scans within the two-phase I + N coexistence region is about the same as that in pure 9OO4 up to ϕ w = 0.010, decreasing markedly for the 0.025 sample and then rising with increasing ϕ w up to the highest CNT content sample of 0.20 wt% studied.
For the N-SmA phase transition, the specific heat δC′p on cooling and heating as a function of temperature about T NA is shown in Figure 3 for bulk 9OO4 and 9OO4/CNT composite samples. samples overlay each other for all CNT concentrations ϕ w and for bulk 9OO4 on the SmA side while are systematically below bulk 9OO4 on the nematic side of the transition. The δC′p behavior does not show any features as a function of ϕ w , and no power-law fits were attempted.
For the SmA-SmC phase transition, the excess specific δC′p as the function of temperature for pure 9OO4 and 9OO4/CNT composite samples is shown in Figure 4. The observed shape and continuous nature of the δC′p peak for pure 9OO4 are consistent with a Landau (mean-field) second-order transition [30] with no observed signature in C″p. The δC′p (AC) for the 9OO4/ CNT samples, heights are the same as pure 9OO4 up to 0.025 wt% and then decrease for the 0.05 and 0.20 wt% samples. The step in δC′p (AC) on the SmC-side for below T AC is 0.025 J/gK for pure 9OO4 and all 9OO4/CNT samples, independent of ϕw.
The tilt susceptibility at the SmA-SmC transition was examined by measuring the electroclinic effect [59] in the LC/CNT mixtures. In the past, it has been shown that there is a nonzero enantiomeric excess for these CNTs, as well as a net chirality for CNTs from four other manufacturers [43]. When dissolved in a liquid crystal, the CNT imparts a net chiral environment to the liquid crystal in the vicinity of the CNT surface. On application of an electric field, a surface electroclinic effect obtains, which requires the presence of a chiral symmetry environment and in which the director rotates by an angle θ ∝ E. Because of the sufficiently high concentration of CNTs, the polarized light "sees" an average rotation of the liquid crystal director for the entire sample. Figure 5 shows the director rotation at temperature 63°C as the function applied filed.
The inverse electroclinic coefficient e c −1 is shown as a function of temperature for the 0.05 wt% 9OO4/CNT sample in Figure 6, approaching the SmC phase from the SmA. A three parameter (amplitude, T AC , and susceptibility exponent) power-law fit of e c −1 versus temperature resulted in γ = 0.99 ± 0.06. Despite the localization of the chirality induced in the liquid crystal to within a few nanometers of the CNT surface [58], the susceptibility exponent clearly is mean-fieldlike and apparently unaffected by the presence of the nanotubes. This result suggests that the  director rotation extends a length scale ξ, comparable to the SmC correlation length, into the bulk liquid crystal from the narrow chiral region immediately surrounding the CNTs, which is the region that responds directly to the applied field. As an aside, we note that although T AC was obtained for this concentration of nanotubes, it is not possible to compare it with the transition temperature in the absence of nanotubes, for which chirality would be absent, and no electroclinic effect would be present.
For the SmC-SmB-K phase transition sequence on cooling, the ∆C′p and C″ p signatures for pure 9OO4 and 9OO4/CNT composite samples over a range from +4 to −10 K about T CB are shown in Figure 7. All peak signatures remain sharp, while the peak height of the SmC-SmB phase transition decreases with increasing ϕ w . The SmC-SmB transition is marked by a strongly first-order specific heat signature at T CB = 49.38°C, with the imaginary part being much larger than the real part. The total transition enthalpy ∆H CB decreases slightly, while ∆H BK increases     Carbon Nanotubes -Recent Progress slightly with increasing ϕ w . Similarly, the imaginary part is much larger than the nearly nonexistent ∆C′p for the SmB-K transition. This is consistent with both the SmC-SmB and SmB-K phase transitions being strongly first order, as expected. Note that the C″p behavior observed in the SmB phase are due to a very slow phase conversion to the SmB from the SmC.

ϕ w δH* IN (C) δH ″ N C) δH NA (C) ∆H CB (C) ∆H BK (C) ∆H T ∆H KX (H) ∆H KA (H) ∆H NA (H) ∆H IN H) ∆H T
For all samples, upon heating under continuous quasi-equilibrium conditions, the crystal phase superheats slightly until a strongly first-order specific heat feature is observed. Upon further heating, a second first-order feature is seen before the SmA phase appears. Figure 8 shows pure 9OO4 and 9OO4/CNT composite samples over a range from −6 to +6 K about T XA . The K-SmX ∆C p peak is narrower for composite samples, except for the ϕ w = 0.025 wt% sample, as compared to the pure 9OO4. The melting ∆C′p peak generally decreases in amplitude with an increase in the C″p peak. The total transition enthalpy of ∆H KX = 72 J/g for pure 9OO4 decreases slightly for the 9OO4/CNT samples with increasing ϕ w . The ∆H XA = 32 J/g and strongly decreases with ϕ w . Interestingly, the second feature specific heat peak height decreases with increasing ϕ w and suggests that this feature is not due to residual crystal melting. Because Studies of Nanocomposites of Carbon Nanotubes and a Negative Dielectric Anisotropy Liquid… http://dx.doi.org/10.5772/intechopen.73391 of the magnitude of the enthalpy involved, it is possible that this feature is a transition into an intermediate smectic phase before heating into the SmA phase. We denote this phase as SmX and are unclear from polarizing microscopy image as to whether this phase is SmB or SmClike, since the melting occurs very near T AC on cooling.
While the calorimetric and electroclinic behavior of the phases and phase transitions for the 9OO4/CNT samples are clearly retaining the character found in pure 9OO4, the phase boundaries have more shrinking changes due to the CNT. The transition temperature changes from pure 9OO4 for all 9OO4/CNT samples are shown in Figure 9. On cooling, the I-N transition temperature in the 9OO4/CNT samples shift upward by nearly a constant +1.18 K compared to that in pure 9OO4, while the two-phase I + N coexistence width shrink with a constant

Discussion
It is useful to compare these results with another high-resolution phase transition study on 8CB/CNT nanocomposites, which also used near equilibrium calorimetric conditions and identical mixing method of CNTs from the same source [31]. The 8CB is a typical rod-like molecule, with biphenyl core, to which an aliphatic tail and a polar cyano head group are attached, whereas 9OO4 has a benzoate group, linking the two phenyl rings and having alkoxy end tails (see Figure 1). The transition temperatures and enthalpies of the isotropic to nematic and nematic to smectic-A phase transitions in 9OO4/CNT and 8CB/CNT systems [31] are shown in Figures 9 and 10. In the 8CB/CNT system, both transition temperatures shift downward by ∼1.5 K with increasing ϕw, with a nonlinear ϕ w dependence, while ∆Tnem remains constant as seen by the dashed and dash-dotted lines in panel (a) of Figure 9. Clearly, the same surface and distribution of CNTs for 8CB produce disordering effects on orientational order shifting both the I-N and N-SmA transitions. The transition enthalpies of the I-N and N-SmA phase transitions in the 8CB/CNT system increase over a broad range of ϕ w and then remain constant for higher ϕ w . The total transition enthalpy of 8CB/CNT system has been interpreted as the sum of the pure transition contribution and a random field induced distortion energy. Apparently, given the near constant decrease of the enthalpy of the 9OO4/CNT, the ordering is bulk like with a reduction perhaps due to suppression of long-wavelength director fluctuations. If the enthalpy suppression of the I-N and N-SmA in 9OO4/CNT was due to surface pinning, it should scale with CNT surface area, approximately linear in ϕ w for these low concentrations, which is not observed. This suggests a different surface interaction for the 9OO4 than 8CB molecule with the CNT. The electroclinic effect result suggests that the director rotation θ extends a length scale ξ, comparable to the SmC correlation length, into the bulk liquid crystal forming a chiral region immediately surrounding the CNTs. This chiral region responds to the applied field, resulting in a tilt over the entire SmC correlation region. On cooling, the 9OO4/CNT SmB-K phase transition temperature increases 4 K, and K-SmX phase transition temperature increases 0.5 K on heating for all ϕw, while the total transition enthalpy remains constant on heating and cooling (see Figures 9 and 10). It is important to note that all experimental results presented here are reproducible over repeated scans.
From the calorimetric observations presented here, the effect of CNTs on the phase transitions of 9OO4 apparently enhances orientational order and is compatible with various positional orders of all the higher order phases (broken symmetries) up to and including the crystal phase. This is despite the globally random dispersion of CNTs in these nanocomposites and in contrast to the disordering effects observed in the 8CB/CNT system [31]. Clearly, at such low concentrations with random CNT distribution, the specific CNT-LC boundary condition must play an important role along with the ultra-high aspect ratio (string-like structure) of the CNT nanoparticles.
To account for the opposing the behavior of the I-N transition between 9OO4/CNT and 8CB/ CNT given the similar chemical nature of both liquid crystals and common graphene surface, the CNT may promote nematic order in both liquid crystals but with different correlation lengths of the local anchoring field. For 8CB/CNT system, the nucleated local director for 8CB varies in orientation along the long-axis of the CNT creating a surface paranematic layer while further away from the CNT surface, ˆn becomes aligned parallel to the CNT strands [31]. This would mean that the local anchoring field direction varies along the CNT strands over a distance comparable to or shorter than the ˆn correlation length, leading to quenched random-field disordering effects [33]. For 9OO4/CNT system, the surface anchoring orientation correlation length must be larger than the ˆn correlation length of the LC, likely parallel to the CNT long axis with essentially no distortion (elastic strain) of ˆn further away from the strand surface. This would yield a quenched locally nonrandom field that spans more than one nematic domain, while still possessing a global (macroscopic) random distribution. This is consistent with the observed ECE in 9OO4/CNT and not in 8CB/CNT [46,47], which would also account for the suppression of smectic order in the 8CB/CNT system as the pinned surface para-nematic layer would further disorder any positional ordering. In 9OO4/CNT, the local field spans multiple nematic domains and would actually suppress director fluctuations and so promote smectic ordering.
However, the observed enhancement of the higher order smectic phases as well as the crystal phase implies that the uniform surface orientational anchoring is not accompanied by positional pinning along the CNT for the 9OO4 molecule. This degree of freedom of the LC molecule to essentially slide along the surface and each other parallel to the CNT long-axis is needed to accommodate all the higher positional ordering (broken symmetries) in pure 9OO4, yielding the observed bulk-like behavior and phase boundary enhancement in this work. The origin of these two different behaviors between 9OO4 and 8CB with CNT is not immediately known but may be due to either the negative dielectric anisotropy of 9OO4 as opposed to that in 8CB or the different commensurate surface packing of the phenyl rings onto the graphene surface by these two LCs.

Conclusions
We have presented a detailed calorimetric study on the effect of carbon nanotubes on phase transitions of the 9OO4/CNT nanocomposites as a function of CNT concentration. The complex specific heat was measured over a wide range of temperature for negative dielectric anisotropy alkoxyphenylbenzoate liquid crystal (9OO4)/carbon nanotube (CNT) composites as a function of CNT concentration. The thermal scans were performed between 25 and 95°C, first cooling followed by heating scans, as the function of CNT concentration ranging from 0 to 0.2 wt%. All mesophases have transition temperatures 1 K higher and a crystallization temperature 4 K higher than that of the pure 9OO4. The crystal phase superheats until a strongly first-order specific heat feature is observed, indicating melting 0.5 K higher than in the pure 9OO4. The enthalpy change associated with I-N and N-SmA phase transitions is only slightly changed with increasing ϕ w but are generally lower than pure 9OO4. The total transition enthalpy associated with the all transitions is independent on the CNT concentration and thermal treatment. The bulk or pure-like behavior of the phase transitions is supported by the bulk-like 9OO4 ECE behavior of the SmA-SmC for the 0.05 wt% sample. We interpret that these results as arising from the LC-CNT surface interaction breaking orientational symmetry uniformly over a distance along the CNT greater than the nematic correlation length but allowing the LC to slide essentially freely on the CNT surface to accommodate various translational symmetries, leading to a net ordering effect for all transitions. These results suggest that the interactions between molecular structure, dipole moment of liquid crystal, and graphene-like surface can allow a random dispersion of CNT to promote both orientational and positional order depending on the length scale of the local order and the degree of surface freedom. The observed effects are incorporating CNTs with LC likely due to elastic coupling between CNT and LC and this leads to change in the elastic properties of composites. Continued experimental efforts probing the homogeneity of the sample, frequencydependent dynamics, smectic structures via X-ray scattering, and elastic behavior via light scattering of the homogeneous sample as a function of CNT concentration and temperature would be particularly important and interesting.