Binary Liquid Crystal Mixtures Based on Schi ﬀ Base Derivatives with Oriented Lateral Substituents

: Binary mixtures of the laterally substituted Schi ﬀ base / ester derivatives, namely 4-((2-or 3-) substituted phenyl imino methyl) phenyl-4 (cid:48)(cid:48) -alkoxy benzoates, Ia–d, were prepared and mesomorphically studied by di ﬀ erential scanning calorimetry (DSC) and their mesophases identiﬁed by polarized optical microscopy (POM). The lateral group (1-naphthyl, 2-F, 2-Br, 3-F in Ia–d, respectively) is attached to di ﬀ erent positions of the phenyl Schi ﬀ moiety. The mixtures investigated were made from two di ﬀ erently shaped compounds that di ﬀ er from each other in the polarity, size, orientation, and relative positions of the lateral group. The results revealed that the binary mixture Ia / Ib (bearing the naphthyl and 2-ﬂouro substituents) exhibited the SmA phase, which covered the whole composition range. For the mixtures Ib / Id (2-F and 2-Br), the isomeric lateral F-group in compound Ib distributed the SmA arrangement of Id. In the Ic / Id mixture bearing two positionally and structurally di ﬀ erent substituents, the addition of Ic to Id resulted in solid binary mixtures where its behavior may be attributed to the negligible steric e ﬀ ect of the small electronegative ﬂuorine atom compared to the Br atom. Density functional theory (DFT) theoretical calculations were carried out to estimate the geometrical parameters of individual components and to show the e ﬀ ect of these parameters in the mesophase behavior of the binary system, where the higher dipole moment of Id (6 Debye) may be the reason for its high π – π molecular stacking, which inﬂuences its mesophase range and stability.


Introduction
Due to their favorable characteristics, liquid crystals can act as an important component in various applications such as liquid crystal displays, solar cells, sensors, modulators, etc. [1]. Additionally, liquid crystals are useful in medicine, biology, food production, and for oil recovery. Therefore, the design and development of liquid crystalline systems have gained considerable research interest over the past decade [2][3][4][5]. Liquid crystalline materials are classified into three distinct types: polymeric, lyotropic, and thermotropic. Thermotropic liquid crystals have been widely studied and used for their linear and nonlinear optical properties [2,[6][7][8][9][10][11][12][13][14][15][16][17][18]. Usually, this type of liquid crystal is represented as rigid rods, which can interact with one another and form characteristic ordered structures. It is already crystalline compounds are strongly affected when a lateral substituent is appended into their mesogenic cores [19][20][21]. The extent of change is dependent on the size, orientation, and polarity of the lateral group. Sterically, a lateral substituent widens the core and increases the intermolecular separation, which leads to the reduction in the lateral interactions [19][20][21] and hence the mesomorphic stability is slightly reduced. Thus, the incorporation of the lateral group in the skeleton of a liquid crystalline molecule makes the molecules broad, thus lateral substitution plays an important role in its mesogenic properties. Recently, one of our interests has been to correlate the molecular geometry of mesogens with their mesophase behavior. Later, we investigated several Schiff base/ester liquid crystal derivatives [13,22,23]. Mesomorphic behavior of mesogenic groups may be greatly modified upon the mixing of individual compounds. It is well known that forming a mixture of two or more liquid crystal components leads to tuning the needed properties of interest [24][25][26][27][28][29][30][31][32][33]. An example is the mixing of two non-mesomorphic compounds in order to reduce its melting point, which has gained wide use in many applications. Thus, liquid crystal mixtures show phase transition temperatures and physical properties that differ from their constituents.
The binary mixture of liquid crystalline materials could be better constructed for certain applications in many fields, rather than the individual components [34]. Consequently, the investigation of mesomorphic properties of such mixtures is of considerable interest [35][36][37]. These types of mixtures have been shown to achieve liquid crystalline materials of lower melting point [38][39][40]. In addition, due to the straight or slightly enhanced mesophase-to-isotropic line, the mesophase range is greater for the eutectic mixture than for either its pure components.
The aim of our present study was to prepare three binary systems of differently laterally substituted derivatives bearing the same terminal flexible core, but of lateral naphthyl Ia, 2-F (Ib), 2-Br (Ic), and 3-F (Id) in order to investigate their mesomorphic and optical activities (Scheme 1). The lateral group protruded with different size, polarity, and position with respect to the Schiff base core, which was connected to the other terminal benzene ring attached to the azomethine moiety, wasa also investigated. Finally, a brief study of the thermal and geometrical parameters of pure components by DFT calculations were conducted and correlated with the experimental values of their mixed states.

Materials and Preparation of Binary Mixtures
Compounds used in this study were synthesized and characterized according to the methods attached as Supplementary Materials. Binary mixtures were prepared by mixing accurately weighed samples of the appropriate amounts of the individual components (±1.0% in composition), melting them together to give an intimate mixture, and then cooled to room temperature while stirring.
For the construction of the binary phase diagram, the mixtures of any two components were made to cover the whole range of composition.

Physical Characterization
Calorimetric measurements were carried out using a TA Instruments Co. Q20 differential scanning calorimetry (DSC; Waltham, MA, USA). The DSC was calibrated using the melting temperatures and enthalpies of indium and lead. DSC investigations were carried out for small samples (2-3 mg) placed in aluminum pans. All measurements were achieved at a heating rate of 10 • C/min in an inert atmosphere of nitrogen gas (30 mL/min) and all transitions were recorded from the second heating scan.
Transition temperatures were checked and the types of mesophases identified for all compounds and mixtures investigated. Molar ratios of both components were melted and mixed to form intimate blends, then cooled. The mixture was put between two glass plates and heated to obtain a very thin layer. The texture was observed under a polarized optical microscope (POM, Wild, Wetzlar, Germany). Temperature was recorded by a Brookfield temperature controller (Harlow, Essex, England), England (Mettler FP82HT hot stage).

Computational Method and Calculations
The theoretical calculations were carried out by Gaussian 09 software (2009, Gaussian Inc.: Wallingford, CT, USA) [41]. The DFT/B3LYP method and 6-31G (d,p) basis set were selected for the calculations. The structures of the optimized geometries were drawn with Gauss View [42].

Binary Mixtures Studies
Transition temperatures and their corresponding transition enthalpies for the three binary mixtures (Ia/Ib, Ib/Id, and Ic/Id) are presented in Table 1. Both components of all mixtures bear the same flexible alkoxy chains (n = 12) connected to the phenyl ester moiety. Individual compounds were reported in our previous work [43]. Figure 1 shows the DSC thermograms of 80 mol% composition of Ib (at eutectic composition) for the binary mixture Ib/Id. All mixtures were subjected to second heating/cooling cycles. Representative textures under polarizing optical microscopy of the observed mesophases are shown in Figure 2. Phase transition behaviors are graphically established in Figures 3-5.    Cr-SmA denotes the transition from crystal to the SmA phase; Cr-N denotes the transition from crystal to the N phase; SmA-N denotes the transition from SmA to the N phase; N-I denotes the transition from N to the isotropic liquid phase; *monotropic phase observed only on cooling.  The phase diagrams of the binary mixtures are different depending on the type of its individual components. The variation in the polarity and/or the position of the lateral group is the main factors. The aim of such investigation was to attain a balance between the two components' mesomorphic properties, which is expected to be improved upon mixing, thus obtaining advantageous physical properties compared to the laterally substituted pure components (Ia-d).

Binary Phase Behavior of Mixtures of Analogues of Different Rigidity
In the first system, the binary phase diagram was made from the naphthyl derivative Ia and 2-F-substituted component Ib, and is illustrated in Figure 3. As can be seen from Table 1 and Figure 3, both the nematic and SmA stabilities varied regularly with the composition. Upon mixing the two components, enantiotropic dimorphic (SmA and N) phases covering the whole range of composition. The SmA mesophase was induced upon the addition of less that 20 mol% of Ia to the nematogenic component Ib. Their mixed solid phase exhibited eutectic behavior at about 40 mol% of Ia. The eutectic mixture of this system possessed a SmA temperature range (T SmA-N − T Cr-SmA ) = 20.2 • C and a N temperature range (T N-I − T SmA-N ) = 14.2 • C. As concluded from the theoretical calculations, the two homologous Ia and Ib had different aspect ratios, in which the space filling of the naphthyl group was higher than that of the lateral fluorine atoms, thus may be located in the opposite directed structure; hence the addition of naphthyl derivative Ia is not expected to disturb the molecular arrangement of the lateral F-compound Ib. The N stability of both components is regularly affected upon mixing and was found to decrease with the mol% of Ia. A good induced SmA mesomorphic range covered the whole composition range of the mixture, which had a wide range at the eutectic composition (40 mol% of Ia). The phase diagrams of the binary mixtures are different depending on the type of its individual components. The variation in the polarity and/or the position of the lateral group is the main factors. The aim of such investigation was to attain a balance between the two components' mesomorphic properties, which is expected to be improved upon mixing, thus obtaining advantageous physical properties compared to the laterally substituted pure components (Ia-d).

Binary Phase Behavior of Mixtures of Analogues of Different Rigidity
In the first system, the binary phase diagram was made from the naphthyl derivative Ia and 2-F-substituted component Ib, and is illustrated in Figure 3. As can be seen from Table 1 and Figure  3, both the nematic and SmA stabilities varied regularly with the composition. Upon mixing the two components, enantiotropic dimorphic (SmA and N) phases covering the whole range of composition. The SmA mesophase was induced upon the addition of less that 20 mol% of Ia to the nematogenic component Ib. Their mixed solid phase exhibited eutectic behavior at about 40 mol% of Ia. The eutectic mixture of this system possessed a SmA temperature range (TSmA-N -TCr-SmA ) = 20.2 °C and a N temperature range (TN-I -TSmA-N) = 14.2 °C. As concluded from the theoretical calculations, the two homologous Ia and Ib had different aspect ratios, in which the space filling of the naphthyl group was higher than that of the lateral fluorine atoms, thus may be located in the opposite directed structure; hence the addition of naphthyl derivative Ia is not expected to disturb the molecular arrangement of the lateral F-compound Ib. The N stability of both components is regularly affected upon mixing and was found to decrease with the mol% of Ia. A good induced SmA mesomorphic range covered the whole composition range of the mixture, which had a wide range at the eutectic composition (40 mol% of Ia).  . Binary phase diagrams for system Ia/Ib; the symbol "o" denotes the solid-SmA phase, "•" the SmA-N phase transitions, " " N-I phase transition upon second heating, and "--" denotes to eutectic mixture.

Binary Mixtures of the Analogues Bearing Substituent of the Same Polarity but of Different Orientation
The binary phase diagram of the laterally F-substituted isomers in different positions Ib/Id is represented graphically in Figure 4. The difference between the two isomers is the position (and/or orientation) of the small sized F-atom. Both analogues, again, bear the same terminal alkoxy chain Crystals 2020, 10, 319 6 of 12 length (n = 12), but differ in their type of mesophases. The first isomer Ib (2-F) is purely nematogenic with a narrow N phase range while the other isomer Id (3-F) possesses only the SmA phase. Examining their phase diagram ( Figure 4) revealed that the addition of one isomer to the other was accompanied by a slight increase in temperature range as a result of the depression of its melting point upon mixing. All mixtures of the two components up to 60 mol% were enantiotropic dimorphic (SmA and N), whereas the SmA phase vanished at 60 mol % of Ib. The nematic phase covered all of the composition range. The eutectic mixture appeared around 80 mol % of Ib. As can also be seen from Figure 4, the N phase stability of Ib decreased gradually upon the addition of its isomer Id, which may be attributed to the difference in the orientation of the lateral F-atom in the individual components. The mesomorphic stabilities were mainly dependent upon the intermolecular attractions, in which the molecular polarity plays a significant role; it has been reported that the dipole moment of any compound is dependent upon the nature and orientation of the substituent [44].

6
The binary phase diagram of the laterally F-substituted isomers in different positions Ib/Id is represented graphically in Figure 4. The difference between the two isomers is the position (and/or orientation) of the small sized F-atom. Both analogues, again, bear the same terminal alkoxy chain length (n = 12), but differ in their type of mesophases. The first isomer Ib (2-F) is purely nematogenic with a narrow N phase range while the other isomer Id (3-F) possesses only the SmA phase. Examining their phase diagram (Figure 4) revealed that the addition of one isomer to the other was accompanied by a slight increase in temperature range as a result of the depression of its melting point upon mixing. All mixtures of the two components up to 60 mol% were enantiotropic dimorphic (SmA and N), whereas the SmA phase vanished at 60 mol % of Ib. The nematic phase covered all of the composition range. The eutectic mixture appeared around 80 mol % of Ib. As can also be seen from Figure 4, the N phase stability of Ib decreased gradually upon the addition of its isomer Id, which may be attributed to the difference in the orientation of the lateral F-atom in the individual components. The mesomorphic stabilities were mainly dependent upon the intermolecular attractions, in which the molecular polarity plays a significant role; it has been reported that the dipole moment of any compound is dependent upon the nature and orientation of the substituent [44]. . Binary phase diagrams for system Ib/Id; the symbol "o" denotes the solid-SmA phase, "•" the SmA-N phase transitions, "■" the N-I phase transition upon second heating, and "------" denotes the eutectic mixture.

Binary Mixtures of the Analogues Bearing Substituents of the Different Orientation and Different Size
The binary phase diagram of the mixtures 2-Br and 3-F substituted analogues Ic/Id was constructed and represented graphically in Figure 5. In such a system, the 3-F derivative is purely nematogenic, while the 2-Br analogue is purely smectogenic (SmA phase). Their mixtures showed no eutectic composition. Instead, their binary mixtures exhibited solid solutions throughout their composition range. In addition, the gradual decrease observed for the N and SmA mesophase stability indicated the good rearrangement of molecules of both isomers upon mixing either in their solid state or in the mesophase. This behavior may be attributed to the negligible steric effect of the small fluorine atom. Furthermore, the addition of the Ic to Id resulted in the disappearance of the SmA phase of Id upon the addition of about 40 mol % of Ic. . Binary phase diagrams for system Ib/Id; the symbol "o" denotes the solid-SmA phase, "•" the SmA-N phase transitions, " " the N-I phase transition upon second heating, and "--" denotes the eutectic mixture.

Binary Mixtures of the Analogues Bearing Substituents of the Different Orientation and Different Size
The binary phase diagram of the mixtures 2-Br and 3-F substituted analogues Ic/Id was constructed and represented graphically in Figure 5. In such a system, the 3-F derivative is purely nematogenic, while the 2-Br analogue is purely smectogenic (SmA phase). Their mixtures showed no eutectic composition. Instead, their binary mixtures exhibited solid solutions throughout their composition range. In addition, the gradual decrease observed for the N and SmA mesophase stability indicated the good rearrangement of molecules of both isomers upon mixing either in their solid state or in the mesophase. This behavior may be attributed to the negligible steric effect of the small fluorine atom. Furthermore, the addition of the Ic to Id resulted in the disappearance of the SmA phase of Id upon the addition of about 40 mol % of Ic.
Crystals 2020, 10, 319 7 of 12 Crystals 2020, 10, x FOR PEER REVIEW 7 of 12 Figure 5. Binary phase diagrams for system Ic/Id; the symbol "o" denotes the solid-SmA phase, "•" the SmA-N phase transitions, and "■" is the N-I phase transition upon the second heating.
Generally, the dipole moment, polarizability, and aspect ratio greatly affect the competition between the lateral and end-to-end molecular attractions, which are important parameters influencing the mesomorphic behavior. Furthermore, the molecular architecture also affects the molecular-molecular interactions. In the present study, molecular aromatic π-π stacking of rod-shaped liquid crystal molecules were observed due to the parallel attraction between co-planar molecules. Moreover, these interactions were enhanced by longer alkoxy-chains (n). Another factor that could affect the mesophase behavior is the terminal aggregation of alkoxy chains (end-to-end association). This strong end-to-end association is the result of intermolecular interaction between the terminal alkoxy chains [38]. All these parameters share different ratios and resulted in improving the mesophase stability (Tc), mesophase range, and type of individual components as well as their mixtures.

DFT Theoretical Calculations
The theoretical DFT estimations for the individual compounds Ia-d were calculated by DFT in a gas phase at the B3LYP 6-311G basis set. All optimum estimated structures were proven to have a stable geometry due to the absence of the imaginary frequency. Results of the theoretical DFT predictions of these compounds before mixing showed a non-co-planar geometrical with little twisted shape and with bent non-linear structure. The three phenyl rings of the individual compounds were completely planar, regardless of the type of mesogenic core. Recently, it was reported that the mesomorphic behavior of liquid crystalline (LC) materials highly depends on the geometrical structure [7,9,12,[45][46][47] Moreover, one of the important factors affecting the LC characteristics is their planarity. Since all compounds are neither linear nor coplanar, their enhanced mesophases will be highly affected upon mixing. Very recently, our group reported that the co-planar structures allowed for a strong parallel interaction; in addition, the long alkoxy chain length led to a strong terminal aggregation that affected the mesomorphic phases. Furthermore, the competitive terminal and lateral interactions affected the mesomorphic properties, as shown in Figure 6. Generally, the dipole moment, polarizability, and aspect ratio greatly affect the competition between the lateral and end-to-end molecular attractions, which are important parameters influencing the mesomorphic behavior. Furthermore, the molecular architecture also affects the molecular-molecular interactions. In the present study, molecular aromatic π-π stacking of rod-shaped liquid crystal molecules were observed due to the parallel attraction between co-planar molecules. Moreover, these interactions were enhanced by longer alkoxy-chains (n). Another factor that could affect the mesophase behavior is the terminal aggregation of alkoxy chains (end-to-end association). This strong end-to-end association is the result of intermolecular interaction between the terminal alkoxy chains [38]. All these parameters share different ratios and resulted in improving the mesophase stability (Tc), mesophase range, and type of individual components as well as their mixtures.

DFT Theoretical Calculations
The theoretical DFT estimations for the individual compounds Ia-d were calculated by DFT in a gas phase at the B3LYP 6-311G basis set. All optimum estimated structures were proven to have a stable geometry due to the absence of the imaginary frequency. Results of the theoretical DFT predictions of these compounds before mixing showed a non-co-planar geometrical with little twisted shape and with bent non-linear structure. The three phenyl rings of the individual compounds were completely planar, regardless of the type of mesogenic core. Recently, it was reported that the mesomorphic behavior of liquid crystalline (LC) materials highly depends on the geometrical structure [7,9,12,[45][46][47] Moreover, one of the important factors affecting the LC characteristics is their planarity. Since all compounds are neither linear nor coplanar, their enhanced mesophases will be highly affected upon mixing. Very recently, our group reported that the co-planar structures allowed for a strong parallel interaction; in addition, the long alkoxy chain length led to a strong terminal aggregation that affected the mesomorphic phases. Furthermore, the competitive terminal and lateral interactions affected the mesomorphic properties, as shown in Figure 6. The co-planarity of the benzene rings of the individual compounds before mixing was estimated from the calculation of the twist angle (ϴ) between the planes passing through the rings (terminal = A and internal B) of the imino group (CH=N). The twist angle (ϴ) between the aromatic rings of the Schiff base derivatives varied a little depending on the type of the attached substituent. Values of the twist angles were estimated to be 40°, 41°, 39°, and 40° between the rings A-B for compounds Ia, Ib, Ic, and Id, respectively. The dihedral angle showed that all compounds were almost in the same degree of twisting of rings A and B. The mixing of none such co-planar compounds Ia-d improved the mesomorphic properties rather than of both individual components. The mixture of two non-co-planar compounds induced the mesophase stability and its ranges due to the formation of a certain type of interaction (perhaps - stacking interactions) that cannot present in their individual component.
The dipole moment and the polarizability were estimated by the DFT calculations for the individual components and are summarized in Table 2. It is well known that the dimension of the present investigated materials as well as the electronic nature of the mesogenic core and the attached substituents has high impact on the polarizability [48,49]. Table 2 showed that the length of all compounds under investigation were almost the same at ≈36 Å, however, their width was not the same because of the position and size of the attached lateral groups. The space filling of the naphthyl group was higher than that of the halo derivatives; moreover, due to the size and the lower inductive effect of the Br-atom compared with the F-atom, the length of the former was higher than that of the later. The different lengths of the investigated compounds resulted in the aspect ratio L/D values, which increased in the order of Ia < Ic < Ib < Id.
The halo compounds almost had the same aspect ratios of ≈420 Bohr 3 with little difference in the polarizability, according to the position of the F-atom. Since the polarizability is affected by the aspect ratios and the resonance as well as the inductive effect of the attached groups; it was changed from 414.09 to 425.11 Bohr 3 due to the electronic effect of the F-atom, which could be changed by changing its attachment position. However, the replacement of the lateral F-atom (Ib) with the benzene ring (Ia) or Br-atom (Ic) changed the polarizability, due to the impact of the aspect ratio, to α = 465 Bohr 3 for Ia and 424 Bohr 3 for Ic.
The dipole moment of the individual components was almost the same, except for Id, and this can be explained in the term of the orientational effect. The high dipole moment (perhaps quadrupolar) could permit a high degree of lateral interactions such as - stacking to enhance the mesophase stabilities and their ranges.

Parameter
Ia Ib Ic Id The co-planarity of the benzene rings of the individual compounds before mixing was estimated from the calculation of the twist angle (θ) between the planes passing through the rings (terminal = A and internal B) of the imino group (CH=N). The twist angle (θ) between the aromatic rings of the Schiff base derivatives varied a little depending on the type of the attached substituent. Values of the twist angles were estimated to be 40 • , 41 • , 39 • , and 40 • between the rings A-B for compounds Ia, Ib, Ic, and Id, respectively. The dihedral angle showed that all compounds were almost in the same degree of twisting of rings A and B. The mixing of none such co-planar compounds Ia-d improved the mesomorphic properties rather than of both individual components. The mixture of two non-co-planar compounds induced the mesophase stability and its ranges due to the formation of a certain type of interaction (perhaps π-π stacking interactions) that cannot present in their individual component.
The dipole moment and the polarizability were estimated by the DFT calculations for the individual components and are summarized in Table 2. It is well known that the dimension of the present investigated materials as well as the electronic nature of the mesogenic core and the attached substituents has high impact on the polarizability [48,49]. Table 2 showed that the length of all compounds under investigation were almost the same at ≈36 Å, however, their width was not the same because of the position and size of the attached lateral groups. The space filling of the naphthyl group was higher than that of the halo derivatives; moreover, due to the size and the lower inductive effect of the Br-atom compared with the F-atom, the length of the former was higher than that of the later. The different lengths of the investigated compounds resulted in the aspect ratio L/D values, which increased in the order of Ia < Ic < Ib < Id. The halo compounds almost had the same aspect ratios of ≈420 Bohr 3 with little difference in the polarizability, according to the position of the F-atom. Since the polarizability is affected by the aspect ratios and the resonance as well as the inductive effect of the attached groups; it was changed from 414.09 to 425.11 Bohr 3 due to the electronic effect of the F-atom, which could be changed by changing its attachment position. However, the replacement of the lateral F-atom (Ib) with the benzene ring (Ia) or Br-atom (Ic) changed the polarizability, due to the impact of the aspect ratio, to α = 465 Bohr 3 for Ia and 424 Bohr 3 for Ic.
The dipole moment of the individual components was almost the same, except for Id, and this can be explained in the term of the orientational effect. The high dipole moment (perhaps quadrupolar) could permit a high degree of lateral interactions such as π-π stacking to enhance the mesophase stabilities and their ranges.
On the other hand, the charge distribution map for the investigated components was calculated under the same basis sets according to their molecular electrostatic potential (MEP) (Figure 7). Figure 7 emphasizes that the type and the orientation of the attached polar group has a significant effect on the charge distribution. Recently, we have reported [7,9,12,16,[45][46][47] that the mesophase range as well as its stability is highly impacted by the competitive interaction between end-to-end and side-side interaction. On the other hand, the charge distribution map for the investigated components was calculated under the same basis sets according to their molecular electrostatic potential (MEP) (Figure 7). Figure 7 emphasizes that the type and the orientation of the attached polar group has a significant effect on the charge distribution. Recently, we have reported [7,9,12,16,[45][46][47] that the mesophase range as well as its stability is highly impacted by the competitive interaction between end-to-end and side-side interaction. From the DFT theoretical calculations, the molecular geometry and space filling of lateral groups are the most effective factors on mesomorphic behavior. Moreover, the dipole moment and orientation of lateral substituents play an important role on the mesomeric characteristics in pure and binary mixtures of the components.

Conclusions
In the present work, three types of binary phase mixtures were designed from laterally substituted Schiff base/ester liquid crystal derivatives: the first binary system was made from two structurally different compounds with different rigidity; the second was made from two isomeric components bearing the same polar group but of different orientation; and the third one was designed from two components bearing substituents of the same orientation but of different size. Theoretical parameters for individual components were carried out by DFT calculations to study their effect on the mesomorphic characteristics of the binary mixture.
The study revealed that: 1. All prepared binary phase diagrams showed enantiotropic mesomorphic behavior. 2. Induced SmA phase was observed for the Ia/Ib system and covered all mixing compositions. 3. As usual, all binary systems showed depression in the melting temperature 4. The binary phase mixtures Ia/Ib and Ib/Id each possessed eutectic behavior, but the third Ic/Id mixture showed no eutectic compositions. 5. Regular decreases in nematic-to-isotropic liquid dependency were exhibited in all binary phase diagrams. From the DFT theoretical calculations, the molecular geometry and space filling of lateral groups are the most effective factors on mesomorphic behavior. Moreover, the dipole moment and orientation of lateral substituents play an important role on the mesomeric characteristics in pure and binary mixtures of the components.

Conclusions
In the present work, three types of binary phase mixtures were designed from laterally substituted Schiff base/ester liquid crystal derivatives: the first binary system was made from two structurally different compounds with different rigidity; the second was made from two isomeric components bearing the same polar group but of different orientation; and the third one was designed from two components bearing substituents of the same orientation but of different size. Theoretical parameters for individual components were carried out by DFT calculations to study their effect on the mesomorphic characteristics of the binary mixture.
The study revealed that: 1.
All prepared binary phase diagrams showed enantiotropic mesomorphic behavior.

2.
Induced SmA phase was observed for the Ia/Ib system and covered all mixing compositions.

3.
As usual, all binary systems showed depression in the melting temperature 4.
The binary phase mixtures Ia/Ib and Ib/Id each possessed eutectic behavior, but the third Ic/Id mixture showed no eutectic compositions.

5.
Regular decreases in nematic-to-isotropic liquid dependency were exhibited in all binary phase diagrams. 6.
The estimated aspect ratios for the lateral components increased in the following order: Ia < Ic < Ib < Id. 7.
The polarizability was highly impacted by the dimensions and the type of lateral group. 8.
Id showed the highest dipole moment value (6 Debye), thus it has a high degree of lateral interactions, which impact the mesophase behavior.