1. Introduction
The liquid crystals (LCs), characterized by a thermodynamically stable state of some materials between the crystal state and the isotropic liquid state, are very interesting for various applications, primarily on LC display technology but also in other important devices relying on LCs like optical switches, photo-elastic modulators, filters, biosensor, and photonic or magnetooptic applications [
1,
2,
3,
4]. A promising method of expanding the LC functionalities is the usage of appropriate dopants. Doped LCs can contribute to the development of considerable materials based on the controlled arrangement of particles under applied fields [
5,
6,
7]. The properties of such materials depend then on nanoparticle parameters as their concentration, size or anchoring treatment as well as direction or intensity of applied fields. A significant group of LCs is represented by nematic liquid crystals (NLCs) that have the orientational order of the long molecular axis along the preferred direction (characterized by director
n). NLC molecules can be oriented with the electric or magnetic field due to their electric and magnetic anisotropies. It is already known that ferroelectric particles are one of the possibilities that can have a significant effect on both the dielectric and optical properties of the NLC compounds [
8,
9,
10,
11,
12]. The increase of dielectric anisotropy and birefringence of the nematic matrix by the nanoparticles is caused by the dipole moment of ferroelectric nanoparticles that is responsible for their interaction with NLC and is affecting the value of effective dielectric constants of the NLC matrix. Introduction of the nanoparticles can lead by this way to the decrease of driving voltages, to the shift of the transition points, or can increase the reflection contrast. Their properties can significantly influence the properties of initial NLCs, and the doping process can create novel materials with interesting properties regularly not present in pure NLC compounds.
Methods of acoustic spectroscopy mostly utilizing longitudinal or shear waves are long time used to characterize some NLC particular properties, such as their viscoelastic properties, rheological behavior or phase transitions. However, recently we have shown that the surface acoustic wave (SAW) technique using shear vertical oscillations can also be a useful tool for investigating structural changes in NLCs induced by the change of external condition caused by external fields, illumination or temperature [
13,
14,
15,
16]. The first investigation of structural changes in NLCs doped with superionic nanoparticles (Cu
6PS
5Br) and/or Cu
6PSI
5/Cu
7PS
6 (50:50 ratio) [
17,
18] demonstrated that the addition of superionic nanoparticles influences the sensitivity of NLC to external fields, namely in the reduction of the transition temperature, in the change of the threshold voltage as well as total structural changes. Experimental results also pointed out the role of nanoparticles concentration on the switching behavior and the possibility to control the light transmission, including the switching times. It was shown that the addition of particles to liquid crystals can alter or even improve optical properties, including the switching behavior of the NLC host [
15,
19,
20,
21,
22]. It was demonstrated that the light transmission of investigated compounds can be influenced already by small quantities of superionic nanoparticles, despite the fact that decided structural changes detected by SAW attenuation were primarily detected for higher nanoparticle concentrations.
In the present contribution, we currently study structural changes in NLC (6CB) doped with superionic nanoparticles Cu
7GeS
5I and Ag
7GeS
5I of the promising material as a solid electrolyte. Ag
7GeS
5I and Cu
7GeS
5I crystals belong to the argyrodite-type superionic conductors and demonstrate high values of electrical conductivity [
23,
24]. Solid electrolytes are actively studied as effective materials for solid-state batteries, supercapacitors, ionistors and other electrochemical devices on their basis. Superionic conductors with the argyrodite structure are also promising materials in this respect [
23,
24,
25]. At room temperature, they crystallize in the face-centered cubic lattice (F 43m space group), show the pure ionic conductivity, and no phase transitions within the temperature range 77–373 K were observed [
25]. The thermotropic NLC 6CB (4-cyano-4-hexylbiphenyl) changes its phase depending upon the temperature from a well-ordered crystalline (
TCN = 14.3 °C) over to a less ordered nematic and finally to a disordered, isotropic phase (
TNI = 30.1 °C) [
17]. As it has been revealed, the properties of NLCs with superionic nanoparticles can essentially depend on the properties of the host NLC, it should be interesting to investigate how the properties of NLC may differ at the introduction of different but similar superionic nanoparticles, in addition to a different size. The measurements of both SAW attenuation and light transmission responses were used to obtain more complete evidence about the role of superionic nanoparticles in the behavior of NLCs, not only under an electric field, with the primary aim to weigh their perspective as useful dopants of NLCs for the structural changes and electro-optical application.
2. Experimental Details
The investigated nanocomposite samples were based on the thermotropic NLC 6CB doped with the superionic nanoparticles Cu7GeS5I and Ag7GeS5I, which were previously synthesized and milled. The synthesis of Cu7GeS5I and Ag7GeS5I compounds was performed from Cu, Ag, Ge, S, and CuI (AgI) taken according to the stoichiometry and placed in an evacuated silica ampoule. The ampoule was heated at a rate close to 100 K/h up to the temperature of 673 ± 5 K and kept at this temperature for 24 h. Then, the temperature was increased at the rate of 50 K/h to the temperature of 1273 ± 5 K, and the ampoule was kept at this temperature for a period of 3 days. The annealing of Cu7GeS5I and Ag7GeS5I compounds was performed at 923 ± 5 K for 48 h. The nanocrystalline powders were obtained by grinding in a planetary ball mill PQ-N04 for different time with a speed of 200 rpm. When the milling time of the Cu7GeS5I and Ag7GeS5I powder in the Ar atmosphere was 30 min, the average size of nanoparticles was ~250 nm and ~220 nm for Cu7GeS5I and Ag7GeS5I, respectively. Another set of Cu7GeS5I and Ag7GeS5I samples with shorter average grain size (~30 nm) were prepared by more milling with the purpose to study the role of nanoparticle size on the investigated compound’s behavior. To differentiate the particular sets of the samples, NLCs doped with a larger average size of nanoparticles are referred to as XXL. Transferring from bulk materials to their nanoparticle forms preserves the superionic properties. The NLC was heated to the isotropic phase, and three different weight concentrations of nanoparticles (0.01, 0.05, and 0.1 wt%) were added under continuous stirring. The samples, before placed into the measuring cell, were again pre-heated above the temperature of its isotropic state (~50 °C), then ultrasonically mixed for 2 h to ensure homogenous distribution of superionic nanoparticles inside NLC.
The interdigital transducer (IDT-1), prepared on the LiNbO
3 delay line, supplied by Pulse Modulator of MATEC 7700, was used to generate the SAW of 10 MHz frequency, and another transducer (IDT-2) was used for SAW receiving by Receiver—MATEC 7700. The acoustic attenuation was measured using MATEC Attenuation Recorder 2470 A.
Figure 1a shows the schematic illustration of experimental arrangement of the LC layer (D ≈ 100 μm) located on the center of the delay line and positioned between LiNbO
3 and the glass plate, both coated with gold electrodes. Programable 15 Hz Function Generator HM 8131-2 was used as DC-supply. The temperature could be stabilized in the range of 5–80 °C with the accuracy ±0.2 °C.
Electro-optical investigations of light transmission were done in LC cells prepared from two float glasses of thickness 0.7 mm (D = 50 μm), coated with ITO transparent conductive layers and alignment layers rubbed in a parallel direction to electrodes to promote the parallel alignment. The Green DPPS Laser Module CW532 (Roithner Laser Technik GmbH, Wien, Austria) generated the laser beam (532 nm, 5 mW) illuminated the cell’s glass in normal incidence using an optical triangular prism and polarizer (
Figure 1b). The initial position of the first polarizer P1, for all investigated suspensions, ensured the linearly polarized incident light beam, the LCs position provided for maximal transmittance registered by photodetector and the second polarizer P2 was adjusted to obtain maximal transmittance after the partial depolarization caused by LC. After passing another polarizer and prism, the intensity of transmitted light was recorded by a photodetector (ThorLABS PDA36A 350–1100 nm, Newton, NJ, USA) connected to the multimeter and subsequently registered by computer monitoring the light transmission as a function of electric field or time.
3. Results and Discussion
The initial intrinsic arrangement of NLC in the case of the SAW attenuation measurement was assumed to have a predominant alignment in the cell plane (director
n parallel to electrodes). The orientation of applied electric field was then perpendicular to them. The electric field could turn NLC molecules due to both dielectric anisotropy and coupling between dipole moments of superionic nanoparticles and NLC molecules, starting at the center plane of the NLC cell, toward perpendicular direction in regard of the surface of the electrodes. The SAW attenuation
α, due to the longitudinal wave generated by SAW into the NLC that is strongly absorbed by NLC laying on the path of SAW [
17], subsequently changed. The SAW amplitude is exponentially attenuated after reaching the NLC layer, propagating along as a leaky surface wave at the NLC/substrate interface due to the generation of a compression (longitudinal) wave in NLC. The vertical surface displacement of SAW is just the reason of this mode conversion, and the longitudinal wave itself propagates into NLC at the Rayleigh angle,
ΘR =
sin−1(
vlc/
vs) [
26], where
vlc is the velocity of the longitudinal wave in LC and v
s. is the velocity of the Rayleigh wave on the substrate. The SAW radiates a longitudinal wave into NLC as a SAW component giving rise to the propagation losses. The total attenuation through that path along the solid/NLC interface is then the sum of the attenuation of a NLC-damped Rayleigh SAW
αs and the attenuation of a plane longitudinal wave in a viscous NLC
αlc. If we take into account that
αs is practically independent of viscosity coefficients, (
αs = ρlc νlc/ρs νs λSAW) measured SAW attenuation changes can be due to the changes in the attenuation of a longitudinal wave
αlc propagating at the Rayleigh angle into the liquid crystal. As we have shown in previous consideration connected with anisotropy measurement [
16], the following expression based on hydrodynamic approximation [
27,
28,
29] can be used for the attenuation
αlc. Symbols
ρlc and
ρs are the NLC and substrate densities, respectively,
λSAW is the SAW wavelength,
f is the frequency,
θ is the angle between
n direction and wave vector
kl describing a longitudinal wave,
νi (
i = 1–5) are viscosity coefficients after
Forester and all. notification [
27]. The coefficient
ν1, ν2 and
ν3 are the shear viscosity coefficients, the coefficients
ν4 −
ν2 and
ν5 represent bulk viscosities. Comparing experimental results with Equation (1) uniquely indicated that the bulk viscosity coefficients should dominate the SAW attenuation.
The effect of linearly increasing external electric field on the SAW attenuation response, reflecting the structural changes in investigated NLC samples doped with both kinds of XXL nanoparticles and all concentrations, is shown in
Figure 2. The development of SAW attenuation, which corresponds to the effect of concentration of superionic nanoparticles on both the structural changes and threshold voltage, consists of the almost constant attenuation at lower voltages followed by a faster increase that later converges to the saturation. Obtained results demonstrate that in investigated compounds the electric field initiates the reorientation of director towards its direction. In addition, the shift of the beginning of increasing regime to higher voltages with increasing concentration in the case of Cu
7GeS
5I-XXL nanoparticles but a slight shift to lower voltages in the case of Ag
7GeS
5I-XXL nanoparticles was registered. Similarly, as in the cases of some our previous results [
15,
16], the higher concentrations of nanoparticles do not ensure the highest influence of electric field on structural changes. The reason of the decrease of the SAW attenuation changes with increasing concentrations can be in the creation of some aggregates of nanoparticles due to too high concentration of superionic nanoparticles which results in a decrease of structural changes [
16]. The significantly larger change of SAW attenuation comparing with that of pure NLC and by that the larger effect of doping was evidently detected only for highest concentration (0.10 wt%) of Ag
7GeS
5I-XXL nanoparticles. A similar difference in the behavior of these two kinds of dopants was also registered in the case of conductivity investigation [
30] and is attributed to the generation of ions due to the interaction of Ag
7GeS
5I-XXL nanoparticles with neutral impurities that occur during their synthesis. The memory effect observed under decreasing field in SAW measurements represents about ~10–20% of initial value, however, it depends on the concentration. This behavior can be influenced by the inducing of pseudonematic domains in NLC [
31].
The electro-optical behavior was investigated using the light transmission measurements in the same set of NLC suspensions. The light transmission was expressed (parallel polarizers) as I/I0, where I0 and I are the intensity of incident light passing through the NLC cell without applied field and under the field, respectively.
The effect of electric field on the light transmission measured in the case of NLC samples doped with Cu
7GeS
5I-XXL and Ag
7GeS
5I-XXL nanoparticles is illustrated in
Figure 3. The measured characteristics formally show the development similar to that obtained by measurements of SAW attenuation (
Figure 2). It means that after almost constant light transmission up to ~3.5–5 V, the rapid drop in the light transmission was detected. However, after reaching its minimum, the saturation state follows only in the case of higher concentration of both Cu
7GeS
5I-XXL and partly also Ag
7GeS
5I-XXL nanoparticles. Developments in the case of other samples are characteristic of several unanticipated humps, like in the case of pure 6CB. This behavior confirms the fact that the properties of LC doped with superionic nanoparticles can essentially depend on the properties of the host LC [
30]. The threshold voltage in both NLC compounds increased markedly comparing with the pure one, already at the lowest concentration. However, the increasing concentration causes again its decrease. The increase in the threshold voltage might be due to the increase in the elastic constant of doped 6CB. On the other side, the dielectric anisotropy of NLC–nanoparticles composition increases with the increasing nanoparticle concentration, and it can be the reason for the decrease in the threshold voltage [
32,
33,
34]. The comparison of measured characteristics (
Figure 2 and
Figure 3) confirms the role of superionic nanoparticles on the NLC suspension behavior, particularly on the shift of threshold voltage as well as on the total structural changes. The considerable attribute of light transmission characteristics, comparing with SAW measurements, is the increase of threshold voltage due to its inverse proportion to the NLC cell thickness
D [
35]. Presented light transmission results coincide well with our previous ones obtained on the same NLC doped with different nanoparticles [
17]. It is important to know that the superionic nanoparticles do not interact with each other. The measurements with crossed polarizers showed similar behavior. However, the light transmission changes were weaker and opposite, of course.
The comparison of the effect of electric field on the structural changes registered by the SAW attenuation response illustrated in
Figure 4 for the same concentration (0.01%) for all kinds of nanoparticles unambiguously shows the significantly highest role of Ag
7GeS
5I-XXL superionic nanoparticles on structural changes registered by the SAW attenuation comparing to Cu
7GeS
5I-XXL including both kinds of nanoparticles with smaller size.
To study switching processes in investigated sets of NLC compounds, the voltage of 6 V corresponding to an almost saturated state was used. The SAW attenuation and light transmission time responses after jumped voltage (6 V) running to 6CB doped with both Ag
7GeS
5I-XXL and Cu
7GeS
5I-XXL nanoparticles for different concentrations (0.01, 0.05, 0.10 wt% and pure) are illustrated in
Figure 5 and
Figure 6, respectively. The decay relaxation times determined from SAW measurements (
Figure 5a and
Figure 6a) change from 6.7 s to 8.2 s in the case of Ag
7GeS
5I-XXL nanoparticles and from 13.0 s to 11.2 s in the case of Cu
7GeS
5I-XXL nanoparticles, depending on the concentration. The rise relaxation times fall into intervals 1.3–2.0 s and 1.4 -3.4 s, respectively. The registered effect of the concentration on the decay time can be attributed to both the decrease of the rotational viscosity and the increase in anchoring energy with increasing nanoparticles concentration [
34,
36]. However, the important feature of the most of acoustic investigations of 6CB doped with superionic nanoparticles is that the significant effect of such doping can be evident mainly for higher concentrations (≥0.10 wt%), although in the case of Cu
7GeS
5I-XXL nanoparticle the SAW changes are even smaller than for pure 6CB. It should be noted that in the compound of NLC with superionic nanoparticles could be polarized under an external electric field when positively charged nanoparticles will move to a negative electrode, whereas electrons—to a positive electrode. Superionic nanoparticles can then affect the nematic environment by affecting the orientation of dipoles and processes on the “superionic nanoparticle–NLC” interface [
37]. Concerning the different behavior of Ag
7GeS
5I-XXL and Cu
7GeS
5I-XXL nanoparticles, the fact found in conductivity investigation [
38] that the substitution of Ag atoms with Cu ones leads to a sharp decrease of the ratio of ionic to electronic conductivity, can also play some role.
The light transmission sensitivity on doping process with superionic nanoparticles seems to be slightly higher than SAW attenuation, and in this way, it can also reveal the influence of very low nanoparticle concentration on optical properties. This fact is also supported by comparing light transmission investigations of samples with Ag
7GeS
5I-XXL (
Figure 5a) and Cu
7GeS
5I-XXL (
Figure 6a) nanoparticles where spite of small changes in SAW attenuation for Cu
7GeS
5I-XXL nanoparticles, they are more sensitive in light transmission investigation. The reason for the different sensitivity in SAW and optical investigations could be due to the different initial orientation of LC molecules and probably also due to some imperfections on evaporated golden electrodes on the both delay line and optical glass. Previous results obtained investigating the dielectric properties of 6CB doped with superionic nanoparticles Cu
6PS
5I showed that these nanoparticles do not significantly affect the dielectric permittivity of 6CB NLC [
30,
38] that partly corresponds with presented results. In addition, the similar behavior we have registered in both acoustic and light transmission investigation in the case of superionic nanoparticles Cu
6PS
5Br as dopant dispersed in the same NLC host (6CB) but with different stability and development of switching process [
39]. The registered differences could be assigned to the size effect that can have also the effect on the ferroelastic properties of NLCs. Concerning the shift of threshold field, obtained results were similar to the presented ones.
The temperature dependences of SAW attenuation measured for the NLC consisting of both Ag
7GeS
5I-XXL and Cu
7GeS
5I-XXL nanoparticles and all concentrations (0.01, 0.05, and 0.10 wt%) are illustrated in
Figure 7. Both temperatures dependences have very similar development. The SAW attenuations show at the temperature
TCN, representing the crystal-nematic transition, the rapid decrease in the interval of 1–1.5 °C followed by the stable attenuation until achieving the temperature of ~30 °C when the NLC compounds change to the isotropic phase (
TNI) that is represented by the weak decrease of the SAW attenuation (see details in
Figure 7). The temperature development of the SAW attenuation indicates the minimal effect of thermal motion on the structural changes detected at SAW frequency of 10 MHz due to the interaction of SAW with NLC molecules. Presented temperature dependences also show the role of the concentration on the shift of
TNI to lower temperatures, but decreasing with increasing concentration, especially for Cu
7GeS
5I-XXL nanoparticles. The shift of phase transition towards lower temperatures for doped NLC can be attributed to the anchoring interactions between NLC molecules and nanoparticle surfaces disturbing the NLC order. This effect can in this case predominate the effect concerning the permanent polarization of nanoparticles that assists in the increase of phase transition temperature [
39]. The latter was registered, though slightly, in the case of Ag
7GeS
5I-XXL nanoparticles. The shift of transition temperature
TNI is actually more distinctive in the case of Cu
7GeS
5I-XXL nanoparticles. Another reason for the decrease of
TNI can be related to the increasing volume of impurities occurring in the NLC during its synthesis, the increase of nanoparticle concentration is also responsible for the conductivity behavior [
30,
32].