Synthesis and electrophysical properties of composite materials based on heterostructures CuS/CdS, Cu2S/CdS, Ag2S/CdS

Polymer composite materials based on CuS/CdS, Cu2S/CdS and Ag2S/CdS were obtained by substitution of Cd with Ag, Cu (II) and Cu (I) ions in the CdS rod-like nanocrystalline and investigated their electrophysical properties. It was found that the electrical conductivity of CuS/CdS heterostructure is in five orders higher compared to the CdS. It was shown that the values of the complex permittivity at identical content of CuS and Cu2S nanoparticles are more than 40 % higher for the 0.3 Cu2S/CdS-PVDF system in comparison with the 0.3 CuS/CdS-PVDF.


Introduction
Synthesis and study of semiconductor nanoparticles of various metal sulfides are developing rapidly due to the unique photoelectric properties and a wide use of these compounds in various fields [1,2]. Through development of the nanocrystalline heterostructures researchers can achieve low-cost synthesis and the possibility to use them in various fields, particularly in specific biological markers [3,4], broadband light-emitting diodes [5] and highly efficient solar batteries [6]. Various methods of synthesis of CuS nanostructures with different morphology were developed such as hydrothermal [7], microwave assisted [8] and template synthesis [9]. By tuning of the synthesis conditions, nanostructures with different aspect number can be obtained such as nanoparticles, nanowires, nanorods, nanofibers. Therefore, synthesis of new materials with nanoscale heterojunction and the study of their electrical properties within wide range of frequencies and temperatures is an important task.

Materials and methods
Semiconductor heterostructures Ag 2 S/CdS, CuS/CdS and Cu 2 S/CdS were prepared during the two-stage synthesis. Previously CdS nanowires were synthesized by crystallization of 0,004 M Cd(NO 3 ) 2 •4H 2 O (analytical grade, GOST 6262-79) and 0,008 M thiourea (analytical grade, GOST 6344-73) from ethylenediamine C 2 H 4 (NH 2 ) 2 (analytical grade, TU 6-09-10-645-77) (30 ml) at 393 K (Fig. 1). After cooling to the ambient temperature, the precipitate was washed with distilled water, centrifuged and dried at 330 K. The residual content of copper ions in the solution was determined spectrophotometrically utilizing complexation reactions with Cu (I) and Cu (II) [10]. Subsequently heterostructures such as Ag 2 S/CdS, CuS/CdS and Cu 2 S/CdS were prepared by substitution of Cd ions by Ag, Cu (II) and Cu (I) ions, respectively. Reactions of ions substitution were performed at 295 K in solutions of AgNO 3 , CuSO 4 • 5H 2 O and Cu 2 O according to the procedure.
Polymeric composite materials were prepared by mixing polyvinylidene fluoride (PVDF) with the semiconductor powder (Ag 2 S/CdS, CuS/CdS and Cu 2 S/CdS obtained in this work) by grinding in the mechanical mill to form a homogeneous mixture, which thereafter was compressed at the polymer melt temperature.
Crystal structure was determined using X-ray analysis (DRON-4-07, Lomo, USSR) in the emission of copper cathode with nickel filter in Bragg-Brentano geometry. Images were obtained using transmission electron microscope JEM-2100F (Jeol, Japan).
The real (r 0 ) and imaginary (r 00 ) components of the complex electrical conductivity at low frequencies (0.1, 1 and 10 kHz) were measured using the immittance meter E7-14 by two-contacts method in the temperature range from 295 to 355 K. The frequency dependence of the electrical conductivity was measured by an impedance spectrometer Solortron SI 1260 (Solortron analytical, UK) in the frequency range 10 -2 -10 6 Hz. The real (e 0 ) and imaginary (e 00 ) components of the complex permittivity in microwave (MW) range were measured using the interferometer at a frequency of 9 GHz [11].

Results and discussions
The formation of CdS nanorods in ethylenediamine was carried out according to the following equation Cd ions from a solution of Cd(NO 3 ) 2 • 4H 2 O react with ethylenediamine ligands to form a relatively stable complex (1), which under certain synthesis conditions promote a crystal growth into a rod-like structure [12].
TEM images of the CuS/CdS heterostructure with 85 mol % substitution of Cd ions by Cu ions (0.85 CuS/ CdS) showing rods with an average length of 150-200 nm, and a thickness approximately of 20 nm ( Fig. 1.2).
Identification of the structure characteristics was performed using diffraction patterns. XRD graphs show diffraction peaks, which indicate the formation of heterostructures of CuS/CdS (1) and Cu 2 S/CdS (2) (Fig. 2). XRD spectra of the obtained CuS/CdS heterostructure is in good correspond with CdS (JCPDS 75-1545) and CuS (JCPDS 78-0878) in a hexagonal phase ( Fig. 2.1). The heterostructure of Cu 2 S/CdS consists of a nanorod CdS with cubic Cu 2 S (JCPDS 84-1770) on the surface ( Fig. 2.2). In the spectra of the CuS/CdS heterostructure ( Fig. 2.1), an amorphous halo (15-24 2h degree) has a higher intensity comparing with halo in the spectra of Cu 2 S/CdS ( Fig. 2.2), that indicates less ordered crystalline structure. The Ag 2 S/CdS heterostructure has another character of dependencies. Fig. 3 shows the reduction in values of the r 0 for 0.85 Ag 2 S/CdS composite ( Fig. 3.5, 6) in comparison with CdS ( Fig. 3.3). This may indicate a partial destruction of CdS rods during the ion exchange. Sudden increase in the conductivity about 450 K (Fig. 3.5, 6) caused by the phase transition of the Ag 2 S from the monoclinic in a cubic syngony. Curves of the temperature dependence of r 0 for nanorods CdS and the 0.85 Ag 2 S/CdS heterostructure ( Fig. 3.3, 5) show a maxima about of 355 K under heating, which correspond to the water desorption from the surface. Those maxima are disappearing when samples are cooled and curves ( Fig. 3.4, 6) have a linear character in the semi-logarithmic scale.
The temperature dependence of the electrical conductivity of polymer composite materials 0.3 Cu 2 S/CdS-PVDF and 0.3 CuS/CdS-PVDF at 1 kHz (Fig. 4) possesses similar characteristics for both systems. Figure 4 shows a slight decrease of r 0 with an increase of temperature on curves 4, 5 and 6. Such character of the temperature dependence of r 0 is typical for metals and for crystalline CuS and Cu 2 S. With an increase of the temperature for composites in which contain of the Cu 2 S (or CuS) in the polymer is corresponds to the percolation threshold (Fig. 4a, b; curves 1, 2 and 3) an increase of conductivity values was observed. The character of the temperature dependence of conductivity is described by the Arrhenius' equation where E a -the activation energy of conductivity, r 0parameter that depends on the nature of the semiconductor, k-the Boltzmann constant and T-temperature. Until the percolation threshold content, the electrical conductivity is determined by the tunneling of the charge through the barrier at the interface, which is caused by the presence of thin polymer layers and depends on the distance between particles and the dielectric constant of the polymer matrix. Therefore, with the temperature increase the electron's energy in composites will increase, and most of the electrons will tunnel through the dielectric layers. Curves of the temperature dependence of the electrical conductivity for 0.85 Ag 2 S/CdS-PVDF are shown in Fig. 5. For all composites, the electrical conductivity is increases with an increase of the temperature. An increase of the electrical conductivity at 445 K is associated with the beginning of the phase transition of the Ag 2 S from the monoclinic to the cubic syngony.
Graphs of the frequency dependence of conductivity for the CdS are shown in Fig. 6a. The real part of the complex conductivity (r 0 ) of CdS rods increases monotonically along with rise of the frequency. After 10 6 Hz, the value of r 0 rises dramatically (Fig. 6a, 1) which is due to the resonant process that corresponds to the change between capacitive and inductive character of impedance of the sample the structural units of which are rods.
Extrapolation of the low-frequency part of the graph (Fig. 6a, 1) towards to lower frequencies gives the value r DC of 2•10 -8 Om -1 cm -1 . The real component of the conductivity can be described by the degree dependence, which corresponds to the jumping mechanism of charge transfer between the CdS rods and given as an equation where r 0 DC -the DC conductivity, x H -the frequency of jump of the charge and n-the dimensionless parameter [13].
The frequency dependence of the real and apparent components of the complex conductivity of the CuS/CdS rod-like semiconductor heterostructures (Fig. 6b)  Curves of dependence of the electrical conductivity for 0.3 Cu 2 S/CdS-PVDF and 0.3 CuS/CdS-PVDF (Fig. 8) shows that until a percolation threshold the conductivity of 0.3 Cu 2 S/CdS-PVDF systems has lower value than for 0.3 CuS/CdS-PVDF. For these systems, a percolation threshold is described by the equation: where H c -the content of filler in the composite, which corresponds to a percolation threshold, t-is exponential quantity and r 0 -the electrical conductivity of the conductive component (Table 1). After achieving of the percolation threshold, the value of electrical conductivity for 0.3 Cu 2 S/CdS-PVDF is five times higher than the same for 0.3 CuS/CdS-PVDF. This indicates that the 0.3 CuS/CdS-PVDF system has a higher degree of dispersion; therefore, the greater number of contacts between particles and the contact resistance between them are crucial. Prior to the percolation threshold, the higher degree of dispersion increases the conductivity of the system by reducing the thickness of the polymer layers and consequently increases the probability of electron tunneling through the potential barrier. Hence, the use of CuS/CdS as a conductive component in polymer composites is effective for low-filled systems and Cu 2 S/ CdS-for high-filled systems.

Conclusion
Semiconductor heterostructures of CuS/CdS, Cu 2 S/CdS, and Ag 2 S/CdS were obtained by the substitution of Cd with Ag, Cu (II) and Cu (I) ions in the CdS rod-like nanocrystalline. The resulting semiconductor heterostructure possess the aspect ratio [10 and electrical properties of such semiconductor heterostructures were investigated. It was also found that the electrical conductivity of CuS/CdS heterostructure is in five orders higher being compared to the CdS. It was shown that the values of the complex permittivity at identical content of CuS and Cu 2 S nanoparticles are more than 40 % higher for the 0.3 Cu 2 S/CdS-PVDF system compared with the 0.3 CuS/CdS-PVDF; the electrical conductivity value of the 0.3 Cu 2 S/CdS-PVDF is five times higher than the 0.3 CuS/CdS-PVDF due to the formation of a more ordered crystalline structure. For 0.3 Cu 2 S/CdS-PVDF and 0.3 CuS/CdS-PVDF composites after percolation threshold of the nanocrystalline CuS and Cu 2 S, the metallic character of conductivity was observed at higher temperatures.
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