Electrical Behavior of Cd0.3Zn1.1xS0.7 Thin Films for Non-Heat Light Emitting Diodes

In developing countries like Kenya, solution processing technique is the cheapest and simplest technique to grow inorganic composites thin films. This method was used to grow thin films of Cd<sub>0.3</sub>Zn<sub>1.1x</sub>S<sub>0.7</sub> on ordinary microscope Perspex substrate slides from aqueous solutions of Zinc chloride and cadmium chloride in ammonia solution. A solution of triethanalomine was used as a complexing agent while thiourea was used as source of sulphide ions. Electrical properties as a function of their thicknesses were obtained by varying deposition time while all other parameters were maintained constant. Using a resistance measurement device and a Gauss meter, resistivity and the conductivity of the films were found to be thickness dependent with semiconductor nature.


Introduction
A composite of inorganic thin films containing cadmium and zinc has been largely neglected en route to technological development though thin films containing sulphur has a significant solid state material of both scientific applications. It is ternary stable non-stoichiometric compound in which zinc and cadmium sulfides belongs to group II-VI compound semiconductor materials [4]. Depending on preparation conditions, they can occur in cubic or hexagonal or both crystal structures [14] with a large band gap of above 2.413 eV. This size of band gap has vast potential use in thin film devices especially in photoluminescent and electroluminescent devices. In most studies, only binary thin films of CdS and ZnS have been largely prepared using many deposition techniques such as Sol gel techniques [3], Metal Organic Vapor Deposition [15], Magnetron Sputtering Technique [18], Spray Pyrolysis Technique [2], and Electrostatic Assisted Aerosol Jet Deposition [15]. Among most techniques, solution processing or what is commonly known as chemical both deposition methods has offered a better option. It is a technique that allows thin films to be grown on all kinds of hydrophilic substrates; very simple, inexpensive, suitable for large area deposition and impurities present in the initial chemicals can be removed by simply using of a suitable complexing agent [8]. This article chose to investigate electrical properties of Cd0.3ZnxS0.7 ternary thin films grown chemical bath as a function their as deposited thicknesses.

Theory
Electrical Resistivity of thin films. When only two basic configurations of the film resistance are considered, their resistance R can be expressed be given as [9]: Electronic copy available at: https://ssrn.com/abstract=3006258 Traektoriâ Nauki = Path of Science. 2017. Vol. 3, No 6 ISSN 2413 Section "Technics" where R -is the resistance;  -is the resistivity; L -is the length of the rectangular substrate; w  -is the element of the width.
If W L  , then: is the resistance of the film layer and is expressed in ohms-square: ( Therefore, the resistance s R of one square of a film depends not on square the size but only on the resistivity and thickness though the figure's dimensions are shown in Figure 1. This value is widely used for film comparison, in particular films of one material grown under identical conditions. If the thickness is known, the resistivity  can be obtained [1]. Any change in thickness causes variation of resistance changes without change in the basic properties of a material. This configuration is characteristic of many inorganic thin films [2]. Though it is known that resistivity and temperature coefficient of resistance depend on the surface resistance s R and the number of squares chosen N [3], hence the total resistance is given as: The resistance of such material is determined by the equation are given by the relation: , ω = s width of lines and S is the width of intervals between the lines giving the parameters of a thin film that can be used for operational development of resistance as: Temperature coefficient of resistance TCR is described by the equations: ) ( where R -is the resistance at certain temperature; T , 0 T -are the temperature at 0 K [4].
Measurement of Conductivity Type. The Hall Effect is observed when a magnetic field is applied at right angles to a rectangular sample of a material carrying an electric current. A voltage appears across the sample that is due to an electric field that is at right angles to both the current and the applied magnetic field. The Hall Effect can be eas- ily understood by looking at the Lorentz force on the current carrying electrons. The orientation of the fields and the sample are shown in Figure 1 [5]. The drift velocity appears in the cross product term of the vector Lorentz force as shown below: where F -is the force on the carriers of current; q -is the charge of the current carriers; E -is the electric field acting on the carriers; B -is the magnetic field inside the sample [8,10].
The transverse ( y ) component of the Lorentz force causes charge densities to accumulate on the transverse surfaces of the sample. An electric field in the y-direction result which just balances the Lorentz force because there is no continuous current in the y-direction. The equilibrium potential difference between the transverse sides of the sample is called the Hall voltage. The charge may be positive ("holes") or negative ("electrons") depending on the material and the motion of the carriers is specified by the drift velocity v. The magnetic field is chosen to be in the z-direction [7]. The drift velocity is the result of the action of the electric field in the x-direction. The total current is the product of the current density and the sample's transverse area Figure 2 gives a drift current x J is given by: where n is the number density or concentration of carriers.

Figure 2 -Chemical bath Setup
Electronic copy available at: https://ssrn.com/abstract=3006258 The carrier density n is only a small fraction of the total density of electrons in the material. Thus we can measure the carrier density.
In the y-direction assuming a no load condition the free charges will move under the influence of the magnetic field to the boundaries creating an electric field in the y-direction that is sufficient to balance the magnetic force. The This quantity can appear in the expression for the current density and its practical form.
We have the relations: Where σ is the conductivity and ρ is the resistivity. The total sample resistance to the drift current is: Not only does the Hall coefficient give the concentration of carriers it gives the sign of their electric charge, by: The dimensions of the sample are w , the width which is to be oriented in the y -direction, d the thickness which is to be oriented in the zdirection which is perpendicular to the magnetic field and L, the length of the sample which is to be located along the x-direction [12]. The sample should be about four times longer than it is wide so that the electric current streamlines have an opportunity to become laminar or the electric potential lines to become parallel and perpendicular to the edges of the sample. is the magnitude of the Hall coefficient. The Hall voltage is directly related to the magnetic field and the drift current, and it is inversely related to the thickness of the sample. The samples used for the measurement are made as thin as possible to produce the largest possible voltage for easy detection. The sample has no strength to resist bending and the probe is to be treated with great care. This applies to the probe of the Gauss meter as well.
Cleaning of substrates. The following procedure was employed; scrubbing with liquid detergent; rinsing several times with distilled water; scrubbing again with detergent; Rinsing again with distilled water; scrubbing with trichloroethylene; rinsing with distilled water; scrubbing with acetone; rinsing with distilled water; scrubbing with alcohol; rinsing with di-ionized water and finally drying using an oven [9].
Electronic copy available at: https://ssrn.com/abstract=3006258 Experimental Procedures. All solutions were prepared using de-ionized water. 1 M of ZnCl2, 10 M of ammonia solution, 1 M of TEA and 1 M of TU were prepared. 10 ml of the 1 M ZnCl2 solution were measured into a 100 ml beaker and 6 ml of the 10 M Ammonia solution was introduced gradually into the beaker with thorough stirring until the white precipitates formed fully dissolved [8,9]. This now followed an addition of 1 ml of the 1 M TEA and finally 15 ml of 1 M thiourea with continuous stirring to start the slow reaction for growth of the thin films. Di-ionized water was added to make up 49 ml of solution in the bath and then, 1 ml 0.3 M CdCl2 was then added to top to 50 ml. The chemical bath composition was at pH of 10. Microscope perspex substrate slides were used as substrates and inserted at a small angle to the vertical and suspended vertically from synthetic foam and the beaker was covered with a glass cover and left to deposit at varying time intervals [6]. The initial period was 3 hours and then subsequent ones were taken out every after five hours labelled They were dried and characterized as deposited for electrical resistivity using the direct current (DC) two point probe method and a Gauss meter.

Results and discussion
Chemical Processes in Optimization of Cd 0.3 Zn x S 0.7 thin films. Optimized concentration and volumes of sulphide ion source used was achieved with the concentration of 1 M zinc and 1 M cadmium chloride at pH of 10 at room temperature. This was kept constant and only the time of deposi-tion was varied. It is generally accepted [11] that the reaction governing the formation of the Cd0.3ZnxS0.7 deposits can be represented as: Based on this expression, when the ionic product of Zn 2+ and S 2-exceeds the solubility product of Cd0.3ZnxS0.7, then Cd0.3ZnxS0.7 deposits are formed. This means that the ions in Cd0.3ZnxS0.7 nuclei start to coagulate onto the microscope slide substrate [8]. This then grows slowly with time at a rate complemented by the complexing agent (TEA). The rate of deposition becomes zero when 1  S (where S = solubility) and the film attains terminal thickness [16] and stops to grow. It was noted that the rate of deposition was high at the initial process of growth. This was attributed to the high concentrations of Zn 2+ and S 2-in the bath solutions [9]. As the deposition went on, a thicker film of Cd0.3ZnxS0.7 was formed. The bath precursor solution becomes deficient in ions. This possible might have resulted into a slower rate of film growth [6] and finally the rate of deposition becomes zero when 1  S and film attains terminal thickness stopping further deposition [10]. It was noted that at this final state, any further addition of thiourea does not increase the thickness of the film hence the optimized volume of thiourea was 17 ml.
These results are attributed to show that the decrease in resistivity or the increase in conductivity as the film thickness has a relationship with crystalline of the films. This was attributed to the increase in size of crystals that effected resistivity in semiconductor thin films [8,9].
Electronic copy available at: https://ssrn.com/abstract=3006258 Traektoriâ Nauki = Path of Science. 2017. Vol. 3, No 6 ISSN 2413 Section "Technics" 2.13 Similar curves were observed by [12,14,16,17] who used different deposition methods. Therefore the variation of Cd0.3ZnxS0.7 thin film thickness with deposition time is optimized by taking a substrate out of bath at regular interval of 3 and not 5 hrs. Hence, film thickness increases exponential with deposition time since concentration decreases exponentially also. ). In the determination of RH, Lab-View was used to control the drift current in the Hall sample. In addition to controlling the drift current, the VI recorded data from the two volt meters in the gauss meter ( Figure 5). One of the meters measured the voltage across the resistor in the drift circuit (bottom), while the other measured the voltage across the y-direction of the probe (the hall voltage).
Electronic copy available at: https://ssrn.com/abstract=3006258  As the computer steps up the driving voltage (and therefore drift current) it recorded the value from each of these meters and the output them when the program finishes [13]. The probe is made of InAs (indium arsenide) who has a near constant Hall coefficient so, hence giving a very close to a straight line (

I vs V H
) with a slope that is related to the Hall constant RH as shown in Figure 6. The Hall Effect probe is a thin slab of InAs, cemented to a piece of fiberglass and has a four lead cable is attached so that the necessary electrical circuit can be used to detect the Hall voltage. The white and green wires are used to measure the Hall voltage and the red and black wires carry the drift current [14].
The values for the dimensions used in our work were as follows w = 0.152 cm, width, L = 0.381 cm, length, d = 69 nm, thickness. Cd0.3ZnxS0.7 has a relatively big band gap so the carrier density was estimated to be roughly the intrinsic carrier density by electrons hence a n-type semi-Electronic copy available at: https://ssrn.com/abstract=3006258 conductor. These carriers are produced by the thermal excitation of the electrons from the valence band into the conduction band [15]. This was estimated that Cd0.3ZnxS0.7 has the density of valence electrons was 7  10 28 m -3 ) multiplied by the Boltzmann factor: where g E is 2.41 eV and kT is room temperature which is about 1/40 eV [13,16,18].

Conclusion
In this work, Cd0.3ZnxS0.7 thin films were grown by chemical bath method with thickness that ranged from 69 to 330 nm on ordinary microscope perspex substrates at room temperature. Varying thin film thickness was obtained by changing the deposition time and their resistivity was found to be thickness dependent. Gauss meter measurement showed that the thin films were n-type and semiconducting in nature appropriate for light emitting diodes.