1\ INFLUENCE OF SPUTTER POWER AND SPUTTER PRESSURE ON OPTICAL PROPERTIES OF WOx THIN FILMS DEPOSITED BY REACTIVE DC MAGNETRON SPUTTERING (( By LWANGATI, CHARLES KIAMA B. ED. Sc. (Hons.) A thesis submitted in partial fulfillment of the requirements for the award of the degree of Masters of Science, in the School of Pure and Applied Sciences of Kenyatta University. Department of Physics APRIL 2008 wangau, Cnanes Influence of sputter power and sputter 11 Declaration This thesis is my original work and has not been presented for award of a degree in any other University or any other award. All sources of the information have particularly been acknowledged by means of references. -----------------~---------------------------------------------- Wangati, Charles Kiama We confirm that the candidate, under our supervision, carried out the work reported in this thesis .. ---------------~------------------------------------------------- DR. W. K. NJOROGE DEPARTMENT OF PHYSICS, KENYA TTA UNIVERSITY, P. O. BOX 43844, NAIROBI -00100 GPO KENYA. -----------------------~--------------------------------------------------- PROF. 1. OKUMU, DEPARTMENT OF PHYSICS, KENY ATTA UNIVERSITY, P. O. BOX 43844, - NAIROBI -00100 GPO KENYA. 111 Dedication This thesis is dedicated to my family: wife, Waithira and children; Ngima, Wangati and Wanjiru. IV Acknowledgement I am profoundly grateful to my research supervisors Dr. Njoroge and Prof. Okumu whom I have constantly consulted throughout this research work. I acknowledge their valuable scientific support through guidance, corrections and suggestions. Most of this work was done in the physics laboratory, Department of Physics, Kenyatta University. I would like to thank all those who work in these laboratories for their assistant and in particular the chief technician Mr. Simon Njuguna, who introduced me to the working of the Edwards Auto 306 Sputtering Machine. I also want to acknowledge remarkable scientific knowledge which I received from my colleagues especially on working with Spectro 320 Optical Analyzer and operation of Scout- 98 application software for spectral simulations. I appreciate the university assistance in sending my samples to Japan for x-ray diffraction (XRD) and atomic force microcopy (AFM) measurements. I am grateful to Dr. S. Venkataraj of Advanced Material Laboratory, National Institute for Material Science, Ibaraki, Japan for his assistant in structural measurement that is, the XRD and AFM on the tungsten oxide thin films. I' I am highly grateful to my family for their support and encouragement during this period of study. I am thankful to Almighty God for giving me the energy, opportunity and the means to pursue this study .To Him I ascribe all the praise and honour vAbstract Tungsten oxide thin films playa major role in electrochromism and it's the most investigated electrochromic material. Studies have shown that structural, electrical and optical properties of tungsten oxide thin films depend on deposition conditions and preparation techniques. In this work, the optical properties of tungsten oxide thin films prepared in reactive de magnetron sputtering of tungsten target with argon in oxygen atmosphere have been studied. The optical properties of films prepared at different sputtering power from 300 watts to 400 watts and sputtering pressure in the range (0.65 - 0.90) Pa were investigated through the transmittance spectra recorded by optical spectroscopy measurements in the wavelength range 300-800 nm. The experimental curves of transmittance are reproduced by simulations to determine the band gap energy, refractive index, extinction coefficient, and film thickness of tungsten oxide films. From these studies the effects of increasing sputtering power from 300 watts to 400 watts was found to; decrease optical band gap from 3.16 eV to 2.97 eV while refractive index increased from 2.05 to 2.38 respectively. In addition, the deposition rate increased while extinction coefficient decreased with sputtering power. Increasing sputtering pressure from 0.65 Pa to 0.90 Pa resulted to decrease in band gap energy from 2.94 eV to 2.8geV while refractive index decreased from 2.43 to 2.08 respectively. The surface structure of the films is smooth as revealed by atomic force microscopy (AFM) measurements. Further, the x-ray diffraction measurement indicated that tungsten oxide thin films deposited are amorphous. VI Symbols A Total absorptance Band gap energy h Planck constant N Complex refractive index nilj Real part of refractive index,(in media i/j) Intensity reflectance from the front surface (f) or back surface (b) for s or p polarized light i jr s,p Fresnel coefficient for reflectance at the boundary between layer i and j for polarized light. t:bT s-p Intensity transmittance from the front surface (f) or back surface (b) for s and p polarized light ti j s,p Fresnel coefficient for transmittance at the boundary between layer i and j for polarized light. Greek Wavelength phase change Complex dielectric function Conductivity v Frequency x Susceptibility a Absorption coefficient Permeability of free space Permittivity of free space AC AFM a-Woxide CVD D DC DOS E OD JDOS RF UV VIS XRD Vll Acronyms and abbreviations Alternating Current Atomic Force Microscopy Amorphous tungsten oxide Chemical Vapor Deposition Electric displacement Direct Current Electron Density of States Electric field Optical Density Joint Density of states Radio Frequency Ultra Violet Visible X-Ray Diffraction Vlll Table of Contents Content Page Title Declaration Dedication Acknowledgement Abstract Symbols used in this work Acronyms and Abbreviations Table of Content Lists of figures List of Table (i) (ii) (iii) (iv) (v) (vi) (vii) (viii) (xi) (xiii) CHAPTER ONE INTRODUCTION 1.1 1.2 1.3 1.3.1 1.3.2 Background to the study Statement of the problem Objectives of the research project Main Objective Specific Objectives Rationale of the research project 1 5 6 6 6 61.4 CHAPTER TWO 2.1 2.2 2.3 2.4 LITERATURE REVIEW Introduction Density and deposition rate Sub-stoichiometric phases of tungsten oxide Optical band gap and Refractive index 7 8 8 9 CHAPTER THREE THEORY OF OPTICAL PROPERTIES 3.1 3.2 3.3 Introduction Optical properties of thin films electromagnetic radiation in Polarization states 12 12 19 IX 3.4 Optical absorption mechanism 25 3.5 Density of states (DOS) 25 3.5.1 Band tails (Urbach Tails) 26 3.6 Microscopic models 26 3.6.1 OJL Interband transition model for amorphous material 27 3.7 Theory of X-ray diffraction measurement 32 3.8 Theory of Atomic Force Microscopy (AFM) 35 3.9 Theory of sputter machine 36 3.9.1 Operation of Edwards Auto 306 sputter machine 36 3.9.2 Sputtering principle 38 3.9.3 The Target 39 CHAPTER FOUR EXPERIMENTAL PROCEDURES 4.1 Introduction 40 4.2 Deposition of tungsten oxide thin films 40 4.2.1 Substrate cleaning and film deposition arrangement 43 4.2.2 Gas flow set-up 44 4.2.3 Determination of oxygen to argon gas flow levels during sputtering 45 4.2.4 Target characterization and power deposition 45 4.2.5 Chamber pressure deposition characteristics 46 4.3 Optical measurements 46 4.3.1 Spectrophotometry 46 4.3.2 Spectral Analysis 48 4.3.3 OIL model implementation 48 4.3.4 The Scout-98 parameters for OIL model 49 4.4 XRD measurement 50,-4.5 Atomic Force Microscopy (AFM) 50 CHAPTER FIVE RESULTS AND DISCUSSION 5.1 5.2 5.3.1 5.3.2 Introduction Preliminary results Intensity spectrum for the light source Thickness distribution along the substrate Deposition characteristics Reactive to sputtering gases flow level Effect of sputtering power on deposition rates 51 51 51 52 55 55 56 5.2.1 5.2.2 5.3 5.4 5.5 5.6 6.1 6.2 7.0 5.3.3 5.4.1 5.4.1.1 5.4.1.2 5.4.1.3 5.4.1.4 5.4.2 5.4.2.1 5.4.2.2 5.4.2.3 5.4.2.4 5.5.1 5.5.2 x Effect of sputtering pressure on deposition rates Optical properties of tungsten oxide films Effect of sputtering power on optical properties Effect of sputtering power on transmittance Effect of sputtering power on refractive index Effect of sputtering power on optical band gap Effect of sputtering power on extinction coefficient Effect of sputtering pressure on optical properties Effect of sputtering pressure transmittance Effect of sputtering pressure refractive index Effect of sputtering pressure optical band gap Effect of sputtering pressure extinction coefficient X-ray diffraction characteristics Effect of sputtering power on XRD characteristics Effect of sputtering pressure on XRD characteristics Surface microstructure CHAPTER SIX CONCLUSIONS AND RECOMMENDATIONS Conclusions Recommendations REFERENCES 58 60 60 60 64 66 67 69 69 72 75 76 78 78 79 80 82 83 85 Figure 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 3.10 4.1 4.2 4.3 4.4 4.Y' 5.1 5.2 5.3 5.4 5.5 5.6(a) 5.6(b) 5.7(a) Xl List of figures Caption Page An illustration of a wave that is absorbed (damped) in a medium 16 Symbols used in Fresnels equations and some material parameters 20 Illustration of propagation of light intensity in a thin film 22 OJL model, where parabolic bands are assumed with tail states exponentially decaying into the band gap 27 Illustration of band structure of silicon crystal 29 Illustration of small mass corresponding to large increase of energy with wavevector 30 Illustration of large mass corresponding to lower increase in energy with wavevector 31 Illustration of ray's movement in incident and reflected beam 33 Diagram of Edwards auto 306 de and rfsputter coater 36 Schematic set up of sputtering mechanism 38 A picture of Edwards Auto 306 sputter machine and gas supply set up 42 Substrate - target set up in the sputtering chamber 44 Optical transmittance measurement set up 47 Transmittance measurement configuration 47 A picture ofSpectro 320 used in spectral analysis 47 Intensity spectra for light source used 52 Position on the substrate whose thickness is recorded 53 Simulated spectrum for position 3 on the substrate 54 Thickness distribution a long the substrate 54 Deposition rate as a function of sputtering power 57 Variation of deposition rate for film with increasing and decreasing deposition pressure 58 Deposition rate as function of sputter pressure 59 Optical 'transmittance of films as a function of wavelength xu for varying sputtering power 61 5.7(b) Transmittance as a function of sputtering power at 500nm 62 5.8(a) Simulated and measured spectra for films deposited at 325 watts 62 5.8(b) Simulated and measured spectra for films deposited at 375 watts 63 5.9(a) Refractive index as a function of wavelength for films deposited at different sputtering power 64 5.9(b) Refractive index as a function of sputtering power at 400nm 65 5.10 Band gap energy as a function of sputtering power 66 5. 11(a) Extinction coefficient as a function of wavelength fro films deposited at varying sputtering power 67 5.11(b) Extinction coefficient as a function of sputtering power at 700 nm 68 5.12(a) Optical transmittance as a function of wavelength for varying sputtering pressure 70 5. 12(b) Transmittance as a function of sputter pressure at 500 nm 70 5. 13(a) Simulated and measured spectra for films deposited at 0.65 Pa 71 5. 13(b) Simulated and measured spectra for films deposited at 0.85 Pa 71 5. 14(a) Refractive index as a function of wavelength fro films deposited at different sputter pressure 73 5.14(b) Refractive index as a function of sputter pressure at 400 nm 73 5.15 Variation of band gap energy with sputtering pressure 75 5. 16(a) Extinction coefficient as a function of wavelength at I' varying sputter pressure 76 5.16(b) Extinction coefficient as a function of sputter pressure at 600 nm 77 5.17 XRD spectra for films deposited at different sputtering power 78 5.18 XRD spectra for films deposited at 0.75 Pa and 0.85 Pa 79 5.19 Atomic force micrograph for a sample of film surface 81 Tables 3.1 4.1 4.2 Xlll List of Tables Page Properties of tungsten metal (target) Deposition condition at varying sputter power Deposition condition at varying sputter pressure 39 41 42 1CHAPTER ONE INTRODUCTION 1.1 Background to the study Thin films are applied to the solution of many different problems for a very broad range of disciplines. These include optical applications (Dobrowolski, 1994; Rempe et al., 1993; Dobrowolski and Verky, 1993), energy related applications such as in solar cells designs (Wanlass, 1992), architectural and automotive design (Scrosati, 1993), communication technology (Lee, 1985), information display devices (Wei et al., 2001; Lampert, 2003) and computer application (Dobrowolski, 1995). Optically active thin films coatings can be useful for different types of devices, which can reversibly alter their optical properties as a function of changes in external conditions such as temperature (thermochromic), intensity of irradiation (photo chromic) or applied external potential (electrochromic) (Bange et al., 1995). Thermochromism has been exhibited in compounds containing metals such as CU2Hg4 and Ag2Hg4, in addition to the most commonly investigated oxides of vanadium (Khan and Granqvist, 1989). Photochromism is found in silver complex oxides thin films such as A~ V04 and A~P04 within the wavelength range for visible and infrared light (Hirono and Yamada, 1986). It is also observed in amorphous transition metal oxide films known to be electrochromic. For example in W03 films, a blue coloration is reported when the films are irradiated with light whose photon energy is greater than 3.4 eV for several hours (Amoldussen, 1976). From technological point of view, thin 2electrochromic films are the best investigated and they are the most promising candidates for various applications (Bange et al., 1995). Tungsten oxide thin films have been investigated widely in companson to other inorganic electrochromic material such as molybdenum oxide (Mo03), niobium oxide (Nb20S), vanadium oxide (V205) and iridium hydroxide (Ir (OH)3) (Scrosati, 1993). It is reported to represent the best inorganic electrochromic material for many technological applications, as its optical properties are independent of the viewing angles and has an advantage of high optical contrast (Berggren, 2004). In architectural engineering, tungsten oxide thin film represent the best working electrode in "smart" (electrochromic) window systems (Rowley and Mortimer, 2002). Electrically controlled electrochromic windows can moderate the room temperature through variable reflectance and transmittance of solar and thermal infrared radiation (Raul, 1999). This results to higher energy efficiency due to reduction in energy used for air conditioning in order to cool down buildings or vehicles during warm seasons (Hummel and Guenther, 1995; Lee and DiBartolomeo, 2002). In motot industry, it is possible to transform the variable transmittance window described above to a variable reflectance mirror if a mirror is placed behind the device hence the reflected intensity can be varied through the electrochromic device. This application can be used in the making of side mirrors that can control the glare intensity in vehicles, therefore adding to safety and comfort of driving in the dark (Lampert, 1998; Bange, 1999). If a mirror behind the electrochromic device for the case of anti glare mirrors above is replaced by a flexible patterned and diffusely scattering pigmented surface, optical information display can be achieved (Wei et al., 2001; Lampert, 2003). 3In addition, there is strong interest in using electrochromic devices for the thermal control of satellites in orbit. Remittance modulation of surfaces and components is normally achieved by use of bulky type radiators, which comprise of series of highly reflective vanes. The miniaturization of satellites has led to reduced mass and volume available for large systems to handle temperature variations onboard. Towards this, a flexible electro chromic reflectance device based on tungsten oxide for infrared emissive control, which is necessary for thermal control of satellite in orbit, has been reported (Devries et al., 1999; Larsson, 2004; Rowley and Mortimer, 2002). Furthermore, there is a recent report concerning the use of electro chromic materials incorporated into paper. In an attempt to produce "electrochromic writing papers" where an electrochromic image is generated on paper when a stylus electrode touches it, a series of organic electro chromic materials were dispersed in paper. Out of the materials studied, tungsten oxide yielded the best permanent electrochromic writing medium (Monk et al., 2001). These and many other applications make electrochromic materials highly sought after for commercial use. These varied electrochromic properties of tungsten oxide film are in agreement with research findings that, the optical, electrical, structural and electrochromic properties of the deposited films are sensitive to the prevailing deposition conditions (Ohring, 1992; Granqvist, 1993). There are many physical deposition methods available to produce thin films. These include vacuum processes such as reactive and ion assisted evaporation (Swann, 1988) in addition to reactive and non-reactive sputtering (Amoldussen, 1976; Kaneko et al., 1982; Deneuville and Gerard, 1978). Others are sol-gel (Mucke et al., 1990) and spray pyrolysis (Hurditch, 1975). 4Various techniques have been used to prepare tungsten oxide thin film. Evaporation and sputtering are the main physical vapor deposition techniques for the deposition of tungsten oxide thin films. In the evaporation methods, the film is produced by target vaporization under heating in vacuum. The weakness of thermal evaporation method is that the layer properties of the films formed suffer from imperfections like low packing density, low hardness, and low resistance against environmental attacks, which are mainly due to low thermal energy of the evaporated material (Swann, 1988). Sputtering, which involves use of high-energy ions such as argon ions (Ar") to strike a solid and knock off atoms from the surface overcomes most of these problems in the deposition of thin films. The magnetic field created in a de magnetron sputtering system retains the electrons around the target therefore increasing the rate of ionization of argon atoms and hence the sputtering yields. Magnetron dc sputtering is a better method for quality and economical production of tungsten oxide film (Hummel and Guenther, 1995). Although it is well known that the structure and composition of the films are responsible for the optical characteristics, the composition of the film is however difficult to control by evaporation and sol-gel processes. The sputtering deposition technique is of special interest because the constituents of the reactive gas can control the composition of the films (Yeon-Gon et al., 1999). For these reasons, reactive de magnetron sputtering is often the technique of choice in depositing oxide films on large scale. As stated earlier, in a given deposition technique many parameters can be set to produce film of different characteristics. Among the deposition parameters that affect the thin films prepared by sputtering technique include; the sputtering power, target-substrate distance, substrate temperature, chamber pressure, reactive gas flow rate and deposition angle (angle between normal to the 5substrate surface and deposition flux) as well as annealing temperature among others (Salinga, 2002; Wendt et al., 1997). Although tungsten oxide thin film is one of the most investigated electro chromic material, among the challenges is the need to determine a precise understanding of the intimate relationship between deposition parameters and film properties such that researchers can make an intelligent prediction of the film properties from the deposition conditions. Further, research reports indicate that present electrochromic devices takes a long time to switch between transparent and colored states (optical response), thereby hindering the realization of their full potential, (Cummins at al., 2000; Gratzel, 2001). 1.2 Statement of the research problem Optical constants reveals the interaction of electromagnetic waves with the material, hence accurate knowledge of the constants are a pre-cursor to successful determination of specific technological solutions for optically active devices. Though various studies have been done on tungsten oxide, thin films there is need to determine other constants aimed at improving the efficiency of their products. Hence, this study is set to investigate the optical constants for WOx films prepared by reactive de magnetron sputtering using Edwards Auto 306 sputtering system. The specific deposition parameters applied in this study have not been reported. Hence, from these study specific optical constants for tungsten oxide, thin films will be introduced by varying sputtering power above 300 watts at a constant sputtering pressure of 0.8 Pa and by varying sputtering pressure below 0.90 Pa at a constant sputtering power of 350 watts. In both conditions, the substrate target distance being fixed at 0.17 metres. 61.3 Objectives of the research project 1.3.1 Main Objective The general aim is to prepare tungsten oxide thin films by reactive de magnetron sputtering and study the influence of sputtering power and sputtering pressure on their optical properties. 1.3.2 Specific Objectives The specific objectives of this research work are to determine the influence of: (i) Sputtering pressure below 1.0 Pa, (ii) Sputtering power above 300 watts on the optical properties of tungsten oxide thin film. 1.4 Rationale of the research project The properties of thin films prepared by a given condition (set parameters) can differ greatly from those produced by another condition. Due to the numerous applications of the thin films, understanding their optical properties resulting from different deposition parameters is of importance in the industries. The focus of this study is the correlation of optical properties of tungsten oxide thin films with the deposition parameters as specified in section 1.2. This study will I' contribute towards greater understanding of the optical properties of tungsten oxide thin films produced by varying the parameters of sputtering power and pressure within the set range using a reactive de magnetron sputtering. 7CHAPTER TWO LITERATURE REVIEW 2.1 Introduction Tungsten oxide (W03) is an indirect band gap semiconductor and exhibits excellent electrochromic properties (Wooten, 1972). Studies conducted during the last several decades, report that tungsten oxide thin film seems to be the best inorganic electrochromic compound with high colorations efficiency and hence accepted to represent the best option for the working electrode within smart window system (Lee and DiBartolomeo, 2002). Certain applications of thin films critically depend on their physical structure. It has been reported (Salinga, et al., 2002) that tungsten oxide films would have to be nonporous and amorphous for effective use as gasochromic coatings in solar control glazing. Various authors (Kaneko et al., 1982; Berggren, 2004; Deneuville and Gerald, 1978) report the effect of chamber pressure in de magnetron sputtering in an atmosphere of argon-oxygen mixture. Report on this study showed that increased chamber pressure reduces the rate of deposition. In addition films deposited under a constant operating pressure higher than 2x 10-2 torr are found to be I"transparent and have a spectral transmittance of about 85 percent in the visible region. It was also noted that the total pressure and relative oxygen gas flow influence the film transmittance, and much less the reflectance in the visible wavelength region. The absorption coefficient increases for independently decreasing pressure and oxygen to argon gas flow ratios. These results suggest that good electrochromic properties, such as coloration efficiency, are achieved at low pressure and intermediate or low oxygen to argon gas ratio that gives a high oxygen deficiency in the WOx composition. 8The fact that the rate of coloring and bleaching are limited by the rate of ion transport into and out of the metal oxide film, which can be influenced by grain morphology, and distribution of defects (Risser and Ferris, 1990) is supported in a report by Bellac et al. (1995) and Larsson (2004) that show infra-red reflectance increases with higher intercalation levels, and also, ion- intercalation must extend into the bulk of the metal oxide film, in order to obtain sufficient optical absorption. 2.2 Density and deposition rate The density of amorphous tungsten oxide is lower than for crystalline W03 in bulk form, which is around 7.16 g/crrr'. This implies that substantial porosity and considerable defect structure can be found in amorphous samples (Berggren, 2004). It has been reported (Kaneko et al., 1986) that the density for sputtered amorphous tungsten oxide from a compressed W03 powder is about 6.1g/cm3 and it is found to increase to 6.7g/cm3 with decreasing sputter pressure (Miyake et al., 1983). Sputtering rate for deposition of W03-z in argon and oxygen plasma shows that the rate goes down and approaches a constant value of about 0.1 nmIsec with increasing pressure. The decrease in the sputter rate with increasing sputter pressure is associated to the oxidation of the target (Kitao et al., 1992). Higher sputtering rates can be accomplished by increasing the power density on the target. The highest sputter rate in the literature is 3.4 nmIs, which was reported for reactive magnetron sputtering at different oxygen contents for power density of 34 W/cm2 (Hichwa et al., 1987). 2.3 Sub stoichiometric phases of tungsten oxide The sub stoichiometric phases in crystalline tungsten oxides have a tendency to form organized phases in the series Wm03m-1 and W03m-2 (m=l, 2, 3) but there are reports of slightly different 9phases like W 18049 (Berak and Sienka, 1970). It is evident that sub-stoichiometry is connected with the occurrence of tungsten atom in the oxidation states below 6+ as indicated by stoichiometry deviation probe using x- ray photoelectron spectroscopy (XPS) (Deneuville and Gerard, 1978). Films that are definitely crystalline in as- deposited state can be obtained by sputtering on a substrate at high enough temperature (Goldner et al., 1983). At different compositions in thin films the color and color changes are much weaker than in the bulk form. This is attributed to much smaller thickness and hence smaller absorption. Sputtered amorphous WOx films have been found to be transparent when x > 2.6, blue when 2.5 < x > 2.6 and metallic like when x < 2.5. As- sputtered films can show different optical properties depending on the deposition conditions (Deneuville and Gerard, 1978). Their data is from films by rf sputtering from tungsten as well as W03 target in argon and oxygen mixtures while the oxygen non-stoichiometry is through Rutherford Back Scattering spectroscopy (RBS). The electrochromism is found to deviate from ideal tungsten oxide across the full 2.0 >hro > 0.5 eV range when x = 0.40 in W03-x. For large non- stoichiometry (x > 0.4), the absorption goes up. Tungsten oxide (WOx) films fabricated by reactive magnetron sputtering at room temperature were found to be amorphous and denser than those resulting from reactive thermal evaporation. This is revealed by x- ray photoelectron spectroscopy, x-ray diffraction and density measurements (Ong et al., 2001). 2.4 Optical band gap and refractive index The optical band gap in reactively sputtered amorphous tungsten oxide films from a tungsten target, have been reported to be around 3.1 eV (Daniel et al., 1988) and the refractive index around 2.3 - 2.4 for good electrochromic films while poor electrochromic films (with higher oxygen gas flow) shows a slightly smaller band gap (Kaneko et al., 1982). The band gap has therefore been 10 found to decrease when oxygen gas flow increases but the refractive index is found to be about the same. In addition another study of the refractive index in sputtered tungsten oxide films showed an index that was close to 1.9 (Huang et a/., 2004). The optical band gap has also been determined to be 3.25 eV for amorphous tungsten oxide sputtered films (Green, 1990). Quantitative values ofEg can be derived by applying a relation of the type ah v = (h v - E g J in the spectral range where the absorption is strong and the exponent n depends on the kind of optical transitions that prevail while the thermal broadening is neglected. For crystalline semiconductors, n is Yz, 3/2, 2, and 3 when the transitions are direct allowed, direct forbidden, indirect allowed, and indirect forbidden respectively (Wooten, 1972). In the case of an amorphous semiconductor n should be 2 as a result of the non-conservation of wave vectors (Tauc, 1974). For sputter deposition, most studies have reported 3.0 < Eg< 3.4 eV with a tendency that high pressure of sputter gas and a high oxygen admixture in reactive sputtering give a low Eg (Kaneko et al., 1982; Kaneko et a/.,1988; Kitao et a/.,1992; Miyake et al., 1983). Green (1990) reported refractive index for films made by reactive de magnetron sputtering where his data indicate a refractive index of about 2 with a tendency to decrease with wavelength. From the fact that the optical response of dielectric films can be influenced by grain morphology and presence and distribution of defects (Risser and Ferris, 1990) which depends on depositing techniques and prevailing parameters there is room for further investigation. Tungsten oxide having been accepted as a leading electrochromic material becomes the best candidate for this investigation. This study is therefore set to investigate the influence of sputter pressure less than 1.0 Pa and sputtering power in the above 300 watts on the optical properties of tungsten oxide thin films aimed at developing a precise understanding of the intimate relationship between deposition \ 11 parameters and film properties. This information will enhance the technologists' ability to predict the film or product performance from knowledge of deposition conditions. 12 CHAPTER THREE THEORETICAL BACKGROUND 3.1 Introduction The study of optical constants of materials is important, as it gives information related to material atomic structure and physical properties. In addition, accurate knowledge of optical constants over wide ranges of wavelength is necessary for materials used in optical fibers and reflecting coatings. This chapter highlights the theory of main optical properties of thin films, theory of OJL model used in spectra simulation and that of structural analytical methods; x-ray diffraction (XRD) and surface topology through atomic force microscopy (AFM) involved in this study. 3.2 Optical properties of thin films The unifying concept that entrances all optical properties is the interaction of electromagnetic radiation with the electrons of the material. On this basis, optical properties are interpretable from what is known of the electronic structure and how it is affected by atomic structure, bonding, impurities and defects (Ohring, 1992; Theiss, 2004). Equations 3.1 to 3.22 highlight the interrelationship between optical constants and the other optical properties. The velocity of electromagnetic wave through a solid is given by the frequency dependent complex refractive index N= n- ik (3.1) where the real part n, is related to the velocity, and k, the extinction coefficient is related to the decay, or the damping of the oscillation amplitude of the incident electric field. The electric field E of a plane wave of frequency f propagating through a solid with v.elocity v in a direction defined by x is described as \ E = Eo exp{ 2mf(t - ~)}v (3.2) 13 where Eo is the incident electric field vector and 27rif(t-!...-) v is the displacement at time t after a disturbance, created by the electric field at a point situated at 'x' along the line of propagation. From Maxwell's equations on electromagnetic theory, the speed of light in a vacuum 'c' is related to the permittivity of free space (£0) and the permeability of free space( J.1o) by the equation. 1 (3.3)C=---l The velocity of propagation through the solid of complex refractive index N is related to the speed of light in a vacuum 'c', by Cv =-N (3.4) Then by substituting N from equation (3.1) equation (3.5) is obtained 1 n ik:-=--- (3.5) v C C Therefore substituting lIv into equation (3.2) produces E = Eo exp(2mft) exp( - 2mjx n) exp( -27ifk x) C C (3.6) where the last term is a measure of the damping factor incorporating the extinction coefficient (Ie). Since the power (P) or the intensity of an incident wave through a solid is the conductivity (0-) of 14 the solid multiplied by the square of the electric field vector, power (P) can be expressed as in equation (3.7) P = CTE2 (3.7) then using the damping factor term the fraction of the incident power that has been propagated from position '0' to a distance x through the material of conductivity (J" is given by _p_(x_) = _ CTE2(X) = exp{_-_47ifkx~} p(o) CTE2(O) c (3.8) from which the absorption coefficient (a) can be expressed in terms of the extinction coefficient (k) as tvifka=-c (39) Since the velocity oflight in a vacuum (c) is given as, c=fo. (3.10) Then by substituting c in equation (3.9) a can be expressed as 41rka=- A (3.11) Optical measurements on matter using electromagnetic radiation are easiest performed by detecting the outgoing radiation intensities from the sample. These intensities are the reflectance and the transmittance. They can be diffuse where imperfections on the surface are greater than the 15 wavelength of the incident radiation or specular if the imperfection on the surface is less than the wavelength of the incident wave. All these properties are often measured in fractions of the incoming intensity and depend on the wavelength (A), or alternatively the frequency (m), then intensity ratio contribution of the reflectance (R), transmittance (1), scattered (S) and absorptance (A) at each wavelength are, according to energy conservation, equal to unity: R(A) + A(A) + T(A) +S(A) = 1 (3.12) where R(l)=IIIIo, ra )=/yIIo, A(l )=IAlIo, S(JJ =Is 110 (3.13) 10 [W/m2] is here the total incident intensity while IR, Ir, Is and IA are the total intensities of the reflected, transmitted, scattered and absorbed radiation respectively. The absorptance in relation 3.13 also gives the spectral emittance. When the medium is in thermal equilibrium then the fraction of absorptance and spectral emittance at a given wavelength are equal. Figure 3.1 illustrate the damping of the wave amplitude when the electromagnetic wave radiation propagates through an absorbing material. Equation (3.14) shows the relationship between the incident intensity, the fraction of intensity that is reflected on the surface and the intensity that enters the medium. 16 Medium Incident wave Transmitted wave Air Air x.__ .~ Figure 3.1: An illustration of a wave that is absorbed (damped) in a medium. The dashed line is a guide to show the exponential behavior (Born and Wolf, 1983) I 0 = RIo + I T ,0 (3.14) In this the equation R is the surface reflectance, and Ir. 0 is the incident intensity corrected for the surface reflectance (at x=O). In the diagram x (m) is the distance along the path of the wave in the medium (Born and Wolf, 1983). The absorption in a layer of the material is also described by the dimension unit ad (where x=d, i.e. the film thickness), that is called the optical density (OD). Equation Ll S shows the expression of the surface reflectance for light passing through a medium of refractive index no impinging normally on a transparent film of index n, (3.15) If the film is absorbing with index of absorption k) then surface reflectance is expressed as in equation (3.16). R = (n) -no)2 +k.2 (n. + no)2 + k.2 (3.16) 17 The excellent transmission of dielectric materials in the visible region of the spectrum is terminated at short wavelengths with the onset of the ultraviolet absorption edge. The critical radiation wavelength ').at which this occurs is given by the equation (3.17). ~ he ~ 1.24 V /L = -or/L = --e Eg Eg (3.17) where h is the Planck constant and Eg is the band gap energy . The critical wavelengths physically correspond to electronic transitions from the filled valence band level across the energy gap (Eg) to the unfilled conduction -band state. The complex dielectric constant e can be introduced as (3.1Sa) Where E\ is the real part and &2 is the imaginary part. since (3.1Sb) ,. then substituting N in equation (3 .ISb) results to an expression of E as given in equation (3.ISc) & = n2-2nik-e (3.lSc) such that the real part (&1) can be expressed as in equation (3.19a) while the imaginary parte &2) is expressed in equation (3.19b) (3. 19a) 18 (3.19b) From equation (3. 19a), for weakly absorbing films, (k is very small) then n can be expressed as n=F: (3.20a) and from equation (3 .19b) k=5.. 2n (3.20b) The microscopic models usually enable us to calculate 62 rather than N and the determined value G2 is used to generate a eI values using the Kramers- Kronig relations. Measurable optical properties can then be obtained by converting 6) and 62 to n and k. Substituting k = ~ in equation (3.19a), then n is expressed in terms of real and imaginary2n dielectric function as shown in equation (3.21). (3.21) 19 From the expression n = E 2 ,w hen n is substituted in the equation (3 .19a) then k can be2k expressed as shown in equation (3.22). (3.22) The equations (3.21) and (3.22) above show that, from complex dielectric function (E), the values of n and k for the material can be obtained. Hence, these equations form the basis of theoretical determination of optical constants. 3.3 Electromagnetic radiation in polarization states When the film thickness is comparable or less than the wavelength, interference effects may occur, the electromagnetic radiation needs to be separated in s- and p- polarized light. If an electromagnetic radiation propagates in medium i with refractive index n, at an angle 8j with respect to a line perpendicular to an interface (figure 3.2) then radiation will change its propagation direction, after the interface, to an angle, 8j according to Snell's law: n i sm () i = n j sm () j (3.23) 20 Definition of symbols in the Frenel's equations and some material parameters are shown in figure 3.2. J n, ri,js,p 1 Figure 3.2: Symbol used in Fresnels equations and some material parameters. The refractive indices ni and nj of the media can be characterized by the speed of light cij in the media or the complex dielectric function with reference to media (i and j) as Gij, and magnetic I'permeability, f.1ij , by relation (in the case of medium i): n cc = (e i f.i i )+- (3.24) Further, electromagnetic radiation can be polarized in s- and p- polarization states. The electric field vectors that are normal to the plane of incidence (the plane spanned by the incident, reflected and transmitted beams) denote the s polarization state while the electric field vectors that are in the plane of incidence denote the p polarization state. The amplitude ratios for the reflected (r) and the 21 transmitted (t) radiation including their polarization states (s and p) have been derived in a slightly less general form, than given below, by Fresnel in 1823 (Born and Wolf, 1983). ij nj cos OJ-njcos OJrs nj cos () j + n j cos {)j ij n j cos {)j-njcos {)jrp n j cos () j + n j cos {)j tij 2 n i cos ()i s n i cos ()i + n j cos ()j t ij 2 n j cos (); p n j cos {)j+nj cos {)j (3.25) (3.26) (3.27) (3.28) An expansion of this discussion can be made to include a thin homogenous film on a substrate as shown in figure 3.3. The numbers in the figure denote the environment 1, the film 2, with thickness d and the substrate 3 while f denotes light incident from the front side and b denotes light incident from the substrate. In this description all layers are considered as non-magnetic and the speed of light in the environment is approximately the same as in vacuum i.e. the refractive index is equal to 1. 22 Figure 3.3 :Illustration of propagation of light intensity in a thin film 2 of thickness d on a substrate 3·OBerggren,2004) R2 denotes reflectance from the interfaces 1-2 and 2-3 of the film where f is reflectance from the front side and b from the backside. T2f denotes transmittance from 1 to 3 while T2 b denotes the transmittance in the opposite direction. R3 and T3 is the reflectance and transmittance from and through-the backside of the substrate respectively. Multiple reflections in layer 2 are not illustrated in the figure. The amplitudes can, in this case be considered as an addition of reflected amplitudes since the light can be reflected several times between the two interfaces of the film 2. The resulting amplitudes are now also functions of the film thickness and the wavelength since the phase change of the traversing light beam in the film has to be considered. The phase change J of a beam with wavelength A traveling through the film can be expressed as 23 (3.29) The amplitude reflectance (r2) and transmittance (t2) for the film on a semi-infinite substrate are expressed as follows fr 2 s r 12 + r 23 e 2 i iss s (3.30)1 + r 12 r 23 e 2 i iss s ft 2 s t 12 t 23 i 8sse (3.31) In these equations, the same relations also hold for p polarization (when s is replaced by p) and have the same form as for light incident from the backside/substrate when indices 12 and 23 are replaced by 32 and 21 respectively. The reflected and transmitted intensities written here by capital letters are proportional to the squared amplitudes. The light intensities, in the substrate, when the influence of the back surface of the substrate is not included, are given by the following equations. (3.32a) 7'1 _I f 12 n3COSB3J.2S - t2S ~ cosB) (3.32b) (3.32c) 24 For a transparent substrate, multiple reflections in the substrate have also to be taken into account. The intensity of the reflectance and the transmittance at the back surface of the substrate are R 3 S , P I 31 12rS,p (3.33a) (3.33b) T 3 p (3.33c) When the effect of a non-absorbing substrate IS incorporated the final expressions for the reflectance and the transmittance are; (3.34) (3.35) Analogous equations can be obtained for p polarized light. 25 3.4 Optical absorption mechanism Optical absorption is the excitation of electrons from one state to another. The extended states describes the collective electron band in the infinite undistorted solid and localized states describe the electron bands caused by localized point defects, impurity lattice atoms or other imperfections. The structural bonding between the neighbors determines the optical properties such as absorption and transmission of the amorphous material. An arrangement is considered disordered when it is not possible to explain its characteristics with an infinite lattice with ideal long-range order and with addition of perturbation theory including the dynamic and static perturbations. There are different types of disorder in solids where each type gives rise to different properties. 3.5 Density of States (DOS) In amorphous semiconductors, local defects such as dangling bonds can cause impurity bands or levels to appear in the gap. Impurities, defects and non-stoichiometric asymmetry of the lattice cause an extension of the band edge of the conduction and valence band. These levels give the DOS a characteristic structure. The properties of amorphous semiconductors are largely determined by such states. High acceptor concentrations (negative ion doping) will give energy levels close to the top of the valence band while high donors concentrations (positive ion concentrations) will give energy levels close to the bottom of the conduction band. The Fermi level, Ef, where the occupation probability of an electron is one half, will adjust itself, towards the conduction band for increased donor doping and towards the valence band for increased acceptor doping, as the concentrations are changed. 26 3.5.1 Band tails (Urbach Tails) Localized states deep in the band tail are also small-polaric. That is, when occupied, these states, near the band edge, are both severely localized (small) and accompanied by significant displacements of surrounding atoms (polaronic). Since these small-polaronic states have their origin in the band tail their density is quite low. The separation between the band tail and small polaron band states are much larger than the usual interatomic separation of the small polaron. As a result, the overlap between the small-polaric band tail states may not be large enough to produce adiabatic hopping motion. That is, the small- polaron jump rate and the mobility within the band tail are smaller than for the usual small- polarons that are localized in a band. (Berggren, 2004) 3.6 Microscopic models Optical spectroscopy is a non-destructive and standard method to characterize a layer or layers system. It involves the determination of microscopic quantities such as resonance frequencies of oscillating atoms, impurity concentrations; or thin film thicknesses from macroscopic experiments. The complex dielectric function e or its square root, the complex refractive index is the key property of the material representing the connection between the dielectric displacement D and the electric field vector E. In addition, materials dielectric function is closely related to the susceptibility Xas shown in the equations (3.36) and (3.37) below. D = 80E8 (3.36) e = 1 + X (3.37) Therefore, the frequency dependence of the susceptibility is very characteristic for a material since it incorporates vibrations df the electronic systems and the atomic cores as well as contribution 27 from free charge carriers. Optical spectra can be easily interpreted through simulation of the experimental transmission or reflectance data based on a model where the model parameters are adjusted to fit the measured data. Various models have been developed that fit to simulation of certain material spectra. The so-called OJL model due to O'Leary et al. (1997) where expressions for the density of states (DOS) are given for the optical transition from the valence band to the conduction band is applied in this analysis as the ideal dielectric function model for amorphous material. 3.6.1 OJL interband transition model for amorphous materials In this model, parabolic bands are assumed with tail states exponentially decaying into the band gap as sketched in figure 3.4. Density of states N(E) Valence band EnergyE ~exp«E-Fc)l'fc)r ~exp( -(E-Ev)l'fv) Figure 3.4: OJL models, where parabolic bands are assumed with tail states exponentially decaying into the band gap The original parameters of the OJL density of states model are the valence band energy Ev and conduction band energy Ee, the 'damping constants' of the valence and conduction band Yv and vc, respectively, as well as the masses of the valence and conduction band mv and me. 28 The mobility edges of valence band energy (EMV) and conduction band energy (EMc) are given in the equations 3.38 and 339 respectively. 1 EMV =Ei, =z r»2 (3.38) (339a) The mobility gap in the OJL model is therefore the difference between EMC and EMV is given by (339b) The meaning of the term 'mass' in this context can be considered from figure 3.5, which shows the band structure of a silicon crystal. E 6 [eV] 5 4 3 2 1 0 -1 -2 -3 -4 -5 L (111) 29 r (100) X K wavevector k (110) r Figure 3.5: Illustration of band structure of a silicon crystal The black rectangle shows a region of one of the conduction bands, which may be described by a I'parabola approximately. That means that the energy is proportional to the square of the wave vector and can be expressed as in equation 3040 where a is constant that determines the curvature of the conduction band and b is the lowest energy of the band. (3.40) This relation between wavevector k and energy E is similar to the one between momentum p and energy of a classical particle of mass m moving with velocity v. Since momentum p is given as \ 30 p=mv (3.41a) then (3.41b) therefore E can be expressed as in equation (3.41 (c)) (3.41c) The coefficient a that determines the curvature of the conduction band can be associated with the inverse mass of a classical particle, which is said to represent an electron in that conduction band: Ii Iim=-=>a=-2a 2m (3.42) A small mass corresponds to a large increase of energy with k, i.e. large slopes in the band structure: 10 ~ 8'--' ~ Iij 6~ 4 2 0 -5 -4 -3 -2 -1 0 1 2 3 4 5 k [11m] Figure 3.6: Illustration of small mass corresponding to large increase of energy with k 31 On the other hand, a large mass stands for a flat band as shown in figure 3.7. 10 ~------------------------------~ 4 " '" " ,-»: 2 '" -~,-~-.--------~- o +-~--~--~~--~~~~--~~--~ -5 -4 -3 -2 -1 0 234 5 k [11m] Figure 3.7: Illustration of large mass lower increase in energy with k For the optical properties, only the joint density of states (mOS) denoted here as J is important which is a certain combination of the density of states of the valence and conduction band: J( n L~~ = IN CtJiIill&ti(!/fbflJlll ( E)' N VoJeIf(;dflJlll (E - n UJ) dE -.0 (3.43) The integration collects all possible transitions from the valence band to the conduction band with energy separation equal to the energy of the absorbed photon. It is shown by O'Leary et al.(1997) that J can be written as a product of a function, which is independent of the masses and a pre-factor (called M here) which contains the masses of the conduction and valence bands besides some constant factors: 32 M 3 3V m c )+- (3.44) The model is well suited to describe amorphous materials or crystalline phases with a high defect density. However, the complex dielectric function of all materials in the system must be known for reflectance or transmittance spectra to be computed. If the imaginary part of the dielectric function is known for all fre9uencies, which is the case in a model, the real part can be constructed uniquely employing the Kramer-Kronig relation (KKR) between a real and imaginary part of a causality quantity. From the dielectric function obtained through simulated spectra, optical band gap, refractive index and extinction coefficient for the deposited tungsten oxide thin films are determined. 3.7 Theory of X-Ray Diffraction measurement x - Ray diffraction measurement is based on Bragg's law that refers to the simple equation nA.=2dsin9 (3.45a) This equation explains why the cleavage faces of crystals appear to reflect X-ray beams at certain angles of incidence (theta,8). The variable d is the distance between atomic layers in a crystal, and the variable lambda A is the wavelength of the incident X-ray beam while n is an integer. Figure 3.8 is an example of X-ray wave interference, commonly known as X-ray diffraction (XRD), and it gives direct evidence for the periodic atomic structure of crystals. It is based on Bragg's law, which explains the interference pattern of X-rays scattered by crystals and has been developed to study the structure of all states of matter with any beam, e.g., ions, electrons, 33 neutrons, and protons, with a wavelength similar to the distance between the atomic or molecular structures of interest d --~--- B z A B Figure 3.8: Illustration of rays' movement in incident and reflected beam (Bragg's law) Bragg's law can easily be derived by considering the conditions necessary to make the phases of the beams coincide when the incident angle equals reflecting angle. The rays of the incident beam are always in phase and parallel up to the point at which the top beam strikes the top layer at atom z. \ 34 The second beam continues to the next layer where it is scattered by atom B. The second beam must travel the extra distance AB + BC if the two beams are to continue traveling adjacent and parallel. This extra distance must be an integral (n) multiple of the wavelength (A.) for the phases of the two beams to be the same: nA..=AB+BC (3.45b) The lower beam must travel the extra distance (AB + BC) to continue traveling parallel and adjacent to the top beam. Recognizing d as the hypotenuse of the right triangle ABz, we can use trigonometry to relate d and e to the distance (AB + BC). The distance AB is opposite e so, AB = d sin(:) (3.45c) Because AB = BC equation (3.45b) becomes nA..=2AB (3.45d) Substituting equation (3.45c) then equation (3.45d), becomes nA..= 2 d sinfl. The location of the surface does not change the derivation of Bragg's law (Schields, 2004). I' The principle of x-ray diffraction therefore reveals a samples crystalline or amorphous nature through characteristic interferences pattern obtained due to the phase difference between x-ray photons scattered at each individual lattice plane (Ngaruiya, 2004). The shape and intensity of the reflection peaks reveals necessary information for determination of the structural properties of the sample. 35 3.8 Theory of Atomic Force Microscopy (AFM) Atomic force microscopy uses two modes of operation that is contact and tapping modes. In contact mode, a sharp tip of radius less than 10 nm at the end of the cantilever scans the surface of a sample. The sharp tip is scanned over a surface with feed back mechanisms that enable the piezo- electric scanners to maintain the tip at constant force (to obtain height information) or constant height (to obtain force information). The force between the tip and the sample is less than 10-9 N. An optical detection system is employed to map out the surface morphology. A quadrant photo detector detects the reflection of the laser beam at the backside of the cantilever. The signal is used as an input for a feedback loop, which keeps the deflection of the laser beam from the center of the detector constant by moving the cantilever up and down with the help of a piezo transducer. The voltage applied to the piezo is proportional to the height. In tapping mode, the cantilever oscillates as it is driven by a piezo crystal. The drive frequency is close to the resonance frequency of the cantilever leading to amplification of small amplitudes. When the tip approaches the surface, damping is increased and the amplitude of the oscillation decreases. This reduction in oscillation amplitude is used to identify and measure surface topologies. A feedback loop adjusts the tip-sample separation to maintain constant amplitude and force on the sample (Ngaruiya, 2004). The topological image of the surface obtained together with the x-ray diffraction pattern would enable identification of the sample as either crystalline or amorphous. 36 3.9Theory of sputter machine Figure 3.9 shows the major parts of Edwards Auto 306 Sputtering machine that is used in this investigation. Rotary workholder drive RF 1 W kh ldpower supp or 0 ••I I Deposition IX '\~II chamber/\ '\ VDC power SUPP1~ ~ ) Maonerron IJI I 00 @1\\: /Emergency / Control off button ~ r-. ...•....... ) ...- console......•.@ ~ F'II Distribution panel r 0 . . .. I ControlMFC Control I •••- cabinet I Equipment Rack ~ I' Figure 3.9: Edwards Auto 306 DC and RF Sputter Coater 3.9.1 Operation of Edwards Auto 306 sputtering machine. The machine has two 0.075 m diameter EPM magnetron-sputtering sources that can hold the target material, which is clamped with the clamping ring. D.c. power source is manually adjusted and 37 supplies power to the magnetron. Source shutter, which is manually controlled through an external lever, is set above the target holder. It enables the operator to control the timing of sputter- deposition on the substrate and shields the substrate from contamination during the initial cleaning (pre-sputtering using argon gas). Three tripod legs fitted to the base plate supports baffle plate, which shield the base plate from deposition and prevent contamination and debris from entering the high pumping aperture. Base plate provides the ports for the connection of gauge heads, gas control valves, source shutters and other accessories. The two pressure gauges that is the penning gauge and pirani gauge measures the chamber pressure during fine pumping and rough pumping respectively. Rotary workholder that consists of a 0.260 m diameter of aluminum plate attached to the chamber top plate by a rotary headthrough supports the substrate on which the film is deposited. De motor and gear assembly continuously rotate the workholder through 3600 at a speed of 40 revolutions per minute to ensure uniform distribution of the film on the substrate. A window on the side of the sputtering chamber enables a physical check on the rotation of the workholder, closing and opening of the shutter as well as the plasma colour changes in the chamber. 38 3.9.2 Sputtering principle Figure 3.10 Illustrate a simple schematic set-up showing the sputtering mechanism. Vacuum pump Substrate Gas inlet .•.•.+ ••"'."., ... '"'" T •• • •+. . . " •+. . . ..•..•.++. Plasma • • +,. .. .. ,.: .~~;~:\~f~f :;'. HV Power supply Figure 3.10: Schematic set up of sputtering mechanism. The processes include mounting the target firmly on the sputtering source using a clamping ring while the substrate is attached to workholder above the target. The chamber is evacuated to prevent I' pollution of the film by unwanted atoms. A chemically non-reactive working gas (argon) with a constant flow is then introduced in the chamber. When a high negative potential (cathode) is applied to the target material above the breakdown voltage of the working gas while zero or positive (anode) is applied to the rest of the chamber and substrate, electrons will be emitted and accelerated from the target therefore ionizing the working gas atoms. This further amplifies the plasma as new electrons are created under ionization. These ions created in the plasma accelerate 39 towards the target and knock off target atoms and other secondary electrons. These electrons further ionize the working gas resulting to sustained glow discharge. The knocked out atoms are then deposited onto the substrate as a thin film. By allowing oxygen, gas to flow constantly into the chamber with argon a compound of the tungsten and oxygen can be formed. In this case, WOx where x varies with deposition conditions (Berggren, 2004). 3.9.3 The target The tables below show the specifications of tungsten metal used as target in this work. The table highlights the main characteristics of the metal. In addition, the different possible oxidation states of the metal are indicated. Table 3.1: Properties of tungsten metal Properties of tungsten Description Physical appearance Hard, grey metallic element Chemical symbol W Atomic weight 183.85 Melting point 34100c Boiling point 56600c Specific gravity 19.3 at 20°c Oxidation states 6,5,4,3,2 40 CHAPTER FOUR EXPE~NTALPROCEDURES 4.1 Introduction This chapter describes the main experimental techniques applied in this study. It gives the basics of the sputtering chamber preparation, sputtering process, the gas flow process, and substrate cleaning and mounting. In addition, the basics of the transmittance measurement and simulation processes are explained. 4.2 Deposition of tungsten oxide thin film Tungsten oxide films were prepared using Edwards Auto 306 Magnetron sputtering system connected to external gas supply as shown in figure 4.1. The films were prepared by reactive de method from a metallic tungsten target. The sputtering vacuum chamber was initially vented and the cylindrical chamber walls cleaned using a cleaning detergent. All other parts housed by the chamber were cleaned using cotton wool and laboratory alcohol. In order to ensure airtight condition on the top and bottom boundary of the chamber, silicon grease was applied on the rubber enclosing the chamber. The target was fixed at the base of vacuum chamber and substrate (microscope glass slide) on the rotary workholder, which consist of a 260 mm diameter aluminum plate attached to the chamber top plate by a rotary headthrough. The chamber was then pumped down to base pressure of 5.0 x 10 -4 Pa. Argon gas was allowed into the chamber until the chamber pressures reached 0.55 Pa. Sputtering power was then adjusted and fixed at the required value. The tungsten target was then pre-sputtered by argon ions for about 10 minutes before introducing oxygen in order to clean the surface of tungsten. A common knob controls the entry of argon and oxygen gases' into the sputtering chamber while flow rate of each gas was set through individual \ 41 gauges. To ensure uniform deposition of the film on the substrate the d.c. motor rotates the workholder continuously through 360°. When the system was in steady state the shutter was opened, and deposition parameters recorded and maintained constant for the required duration of deposition. These parameters are sputtering pressure, oxygen to argon gas flow levels, target- substrate distance and sputtering power. All other deposition parameters are maintained constant during the preparation of the films while varying power and pressure are given in the table 4.1 and 4.2 respectively. In the table the base pressure is the lowest pressure attained on evacuation, while sputtering pressure refer to sum of the base pressure, argon and oxygen reactive gas pressures. The shutter, which is manually controlled by a lever, enables the operator to control the timing of sputter-deposition on substrate and shield the substrate from contamination during initial cleaning. The film thickness during deposition was monitored using the quartz crystal oscillator fixed inside the sputtering chamber. All films were allowed to reach the same thickness as displayed on the control console of the Edwards auto 306 sputtering chamber and the time taken using a stopwatch in order to estimate the deposition rate. In order to investigate the effect of sputtering power all other parameters were maintained constant while sputtering power was adjusted from 300 watts to 400 watts at intervals of 25 watts for different film deposition. Similarly, the sputtering pressure was varied from 0.65 Pa to 0.90 Pa while all other parameters were kept constant in order to investigate the effect of sputtering pressure on films optical properties. Table 4.1: Deposition conditions at varying sputter power Sputtering power Base chamber pressure Argon gas + base chamber gas pressure Sputtering pressure Substrate -target distance 300W-400W 5.0 x 10-4Pa 0.55 Pa 0.80 Pa 0.17m 42 Table 4.2: Deposition conditions at varying sputter pressure Sputtering chamber pressure Base gas pressure Sputtering power Substrate -target distance Argon gas + base gas pressure (0.65- 0.90) Pa 5.0 x 10-4Pa 350W 0.17m 0.55 Pa The figure below illustrates the set up of Edwards Auto 306 Sputtering machine. From the left side of the picture; the power control section, the sputtering chamber, the workholder speed control and quartz crystal display section, the cooling control component and external gas sources are clearly displayed. Figure 4.1: Picture of Edwards Auto 306 sputtering machine and gas supply set up. 43 4.2.1 Substrate cleaning and film deposition arrangement Microscope glass slides of the dimensions 76.2 x 25.4 x 1 mm were used as substrates. The substrate was soaked in a cleaning detergent for about 30 minutes then cleaned using cotton wool followed by dipping in distilled water before rinsing with alcohol and allowing it to dry. The substrate was fixed on the rotating workholder as shown (figure 4.2). The central rotating substrate and an eccentrically positioned source (target) off the axis of rotation are as shown in figure 4.2. The height h (distance between the substrate plane and the target level) was set at 0.17 m while R (approximately 9cm) is dictated by the geometry of the sputtering machine. The transmittance spectra for different positions, along the substrate, are recorded and then fitted with the simulation curves using scout software, to determine their thickness distribution along the substrate. The positions are marked from the end of the substrate near the axis of rotation. A clip supports the substrate on the rotating workholder at the end A. 44 ,--- ---,, I I , \ I I ,/+-- Axis of rotation Rotating workholder---+ Substrate arrangement h Target lever···································· · · ···· · · ······ · · ···· · ········r=t ==-t~Static target Figure 4.2: Substrate -target set up in the sputtering chamber. 4.2.2 Gas flow set-up A gas control valve regulates both oxygen and argon into the sputtering chamber since both gases ,- enters the chamber through a common tube. However, oxygen and argon gas flow are separately externally controlled through control gauges before joining the common tube. The gas flow rate could not be determined accurately due to lack of flow meters. The control gauges along the individual gas flow tubes were only capable of maintaining the gas flow constant by fixing the flow level. Due to this limitation, the partial pressures of the gases could not be used reliably as a variable parameter in this work. Hence, the total chamber pressure (Ar + 02) mixture was used as the variable parameter. 45 4.2.3 Determination of oxygen to argon gas flow levels during sputtering: Reactive sputtering processes are highly unstable. A magnetron target can very quickly switch from metallic state to fully poisoned condition (Swann, 1988). This change unless it is prevented will make the process unworkable and results in large variations in the sputtering rate. Possible solution includes use of the target in fully poisoned mode. However, the compounds on the target sputter at a much lower rate than a pure metal hence it is not desirable. A different solution is to use a feedback control system that can very quickly adjust the reactive gas flow in response to the plasma conditions, in order to hold the process in high rate metallic or transition mode. In order to establish the appropriate flow levels for oxygen and argon gas, necessary to produce an oxide different flow trial rates were done. For each flow rate the characteristics of the film formed was determined through observation of plasma colour changes during sputtering, the film deposition rate, physical appearance and the transmittance level of the film deposited in light. 4.2.4 Target characterization and power deposition characteristics In order to remove oxides and contamination on the target surface, pre-sputtering was done using argon gas alone for about 10 minutes at a chamber pressure of 0.55 Pa. The oxygen gas was introduced and the flow of oxygen to argon gases maintained at 70:30 as determined in 4.2.3, while the total sputtering chamber pressure was adjusted to 0.80 Pa. The sputtering power was set at 300 watts and The deposition rate was determined by dividing thickness of the film formed as recorded by quartz crystal oscillator by time taken. Sputtering power was set at 300 watts initially then adjusted upwards at intervals 25 watts up to 400 watt. The process was repeated as power decreased from 400 watts to 300 watts. 46 4.2.5 Chamber pressure deposition characteristics Having identified the gases flow levels through the control gauges that is adequate for deposition of tungsten oxide, the characteristic behavior for different chamber pressure was monitored. The flow level for oxygen to argon was maintained at 70:30 and sputtering power fixed at 350 watts. The deposition rate was investigated as chamber pressure increased from 0.6 Pa to 0.90 Pa and the process repeated as it decreased from 0.90 Pa to 0.60 Pa. 4.3 Optical measurement 4.3.1 Spectrophotometry Figure 4.3 shows the arrangement of the varIOUS components used in optical transmittance measurement. In this study, a Spectro 320 Optical Analyzer was used to detect and record the transmittance spectra for various tungsten oxide thin film samples. It has a charge coupled device detector (photomultiplier) for the range 190-880 nm. This adequately covers the ultra violet and the visible regions of the spectrum while the second detector; an InGaAs semiconductor diode array covers the near-infra red region 800-1700 nm. A 12V, 0.25A De power lamp (Nippon Keiki Works (Japan) Ltd.) powered at 6.75 watts was used as source of radiations for all measurements. On optical transmission measurement, the light radiations from the lamp were recorded at normal incidence to the tungsten oxide thin films surface. The separation between the lamp and detector was maintained at 20 tnm. The spectral intensity of the lamp detected without a sample between the lamp and the detector was recorded as a reference measurement after which measurements for other films were made. Figure 4.4 shows the configuration setup while figure 4.5 show a picture of the Spectro 320 used in detection of transmittance spectra in this work. 47 ~ Enclosed wooden box painted black inside Transmission measurement configuration Spectro 320 Analyzer C mputer Power Source Figure 4.3: Optical transmittance measurement set up. Thin film on glass From pow Source ~~ -.----er Ct. o T~ 1\ ~ - I'-- Light source- bulb Light detector o Spectro 320 Figure 4.4: Transmittance measurement configuration. L-.~L, k<~' ~ rf . "<,., •..• ,;1 • • J"c.,,,"~~ ~ "'" .,~t )' IIIISTRUMENTSYSTEMS Figure 4.5: A picture ofSpectro 320 used in spectral analysis 48 4.3.2 Spectral Analysis Response of material on applied electric fields is determined by the frequency dependent dielectric function. Using the transmittance spectra measurement made for different films as input, a simulation approach using Scout-98 software produces an optical spectrum (transmittance) that can be compared directly to the measured data. From the simulated spectra, the thickness, band gap energy and dielectric function are determined. The simulation process was also conducted for transmittance spectra on different positions a long a substrate in order to determine the film thickness distribution a long a substrate. OJL model by O'Leary et al. (1997) is adapted for computer simulation as it adequately covers electronic transition between valence and conduction bands. In addition, it describes both amorphous material and crystalline phases with high defect density quite well. Further, OJL model gives expressions for joint density of states for optical transitions from the valence band to the conduction band. From the expression for the density of states, the imaginary part of the dielectric function is modeled and then the real part is calculated by Fast Fourier Transformation to satisfy causality (Kramer- Kronig relations). In this model, parabolic states that are characteristics of the defects in the film are assumed with tail states decaying exponentially into the band gap. These model parameters fit, are adjusted in order to determination the dielectric function of the sputtered tungsten oxide thin films from which the refractive index and extinction coefficient are obtained. The relationship between dielectric function and extinction coefficient are given in equations (3.21) and (3.22). 4.3.3 OJL model implementation Since there is no easy way to determine the absorption coefficient of a thin film system the absorption coefficient is not a good 'interface quantity' between theory and experiment. Instead, a 49 simulation approach is recommended which ends up in a prediction of optical spectra (reflectance and transmittance, usually) that can be compared directly to the measured data. A model parameter fit then adjusts the parameters of interest to the recorded spectra. To compute reflectance or transmittance spectra the complex dielectric function of all materials in the system must be known. Unfortunately, in case of a known joint density of states only the imaginary part of the dielectric function can be computed, but not the real part. Fortunately, if the imaginary part is known for all frequencies, which is the case in a model, the real part can be constructed uniquely employing the Kramer-Kronig relation (KKR) between a real and imaginary part of a causal quantity. To do this, however, the imaginary part must approach zero for high frequencies, which is not the case in the O'Leary expressions. Hence, a decay of the imaginary part is enforced by a term, which is introduced in addition to the OJL paper. 4.3.4 The SCOUT _98 parameters for the OJL model The model applies the energy gap Eg, between valency and conduction band, gamma factor YII and Yc for the exponential decay from the valence and conduction band respectively into the band gap; in the case of no disorder, both 'Yv and 'Yc, are zero. However, gap energy is different from the mobility gap, which depends on the values of the disorder parameters 'Yv and "fc. For traditional reasons the gap energy must be specified in wavenumbers. To convert wavenumbers given in reciprocal centimeters to eV, the wavenumbers is divided by 8065. The mass refer to collection of all constants and the square root of the third power of the valence and conduction band masses; the mass factor m represents the strength of the optical transition. The ratio "f v / "f c is used here because it simplifies working with a constant ratio of valence and conduction band exponential 50 decays. This number determines the way in which the imaginary part decays to zero for high frequencies. 4.4 X- Ray Diffraction (XRD) measurement X-ray diffraction measures crystal structure, grain size, texture and/or residue stress of materials and compounds through the interaction of x-ray beams and the sample. In this study, the XRD measurement performed helped to measure the intensity of the diffracted beam. The sample was fixed at a grazing incidence angle ro of 0.75 0 and the detector scan performed using Goniometer, RINT2000 Vertical goniometer. The advantage of this grazing angle for incident beam is that the effective penetration of the x-rays is reduced and the diffraction pattern is from the near surface resulting to less attenuation of the signal to noise ratio. 4.5 Atomic Force Microscopy ( AFM) Surface microstructure of thin film coating significantly affects important properties of the optical scattering. Since AFM can advantageously measure these microstructure, it is used in this study to examine the topology of the film surface and a topological image of the surface is obtained from which the nature of the material (amorphous or crystalline) can be detected. The information I' obtained can substantially contribute to successful development of low-scatter optical coatings. From scattering theories, the amount of optical scatter depends on the roughness height of a structure and on its lateral distribution. At a randomly rough surface, many different spatial frequencies are present and they are quantitatively expressed by the Power Spectral Density (PSD), giving the relative strength of each roughness component of a surface microstructure as a function of spatial frequency. AFM was performed on the surface of these films to reveal the degree of roughness and hence determine whether the film is amorphous or crystalline. 51 CHAPTER FIVE RESULTS AND DISCUSSION 5.1 Introduction This chapter reports on the results of the practical work done in this research. The results of deposition rate, transmittance, band gap energy, refractive index, and XRD as well as AFM measurements are analyzed and discussed in line with the existing theory. In particular, this research focuses on the influence of two parameters: (i) Sputtering power in the range of 300 watts to 400 watts, (ii) Sputtering pressure in the range 0.65 - 0.90 Pa, on the optical characteristics of tungsten oxide thin films. The analysis was done in the spectral range of 300 run to 800 nm. Report on characterization of the deposition rate in the sputtering chamber for both varying sputtering power and sputtering pressure, flow ratio of gases (oxygen and argon), intensity spectrum of the light used as well as distribution of the film thickness along the substrate are also discussed. 5.2 Preliminary results 5.2.1 Infensity spectrum for the light source From figure 5.1, the intensity spectrum of the lamp used in this study show that the detected radiations becomes negligible for wavelength less than 300 nm. Hence, the lamp used as the source of radiations cannot effectively be used to investigate the optical properties of the film within the range of ultra violet spectrum despite the fact that the spectrum analyzer, Spectro 320 used in this measurement, can detect radiation of as low as 190 nm. Although this photo spectrometer can detect transmittance spectra, from 190 nm to 1700 nm by combining the range of the first detector 52 (190- 880) run with the second (800-1700) run, the spectrum from the different detectors do not match. Fortunately, this can be done by selecting a position on one spectrum within the overlap region (800-880) run at which the computer can match up the two spectra automatically by multiplying data from one spectrum by an appropriate factor so that they can match up and overlap at this point. However, this matching was found to give inconsistent results (through simulation) for films deposited at a sputtering power of 400 watts and those deposited at sputtering pressure of 0.65 Pa. Hence, transmittance spectra for this study were limited to the range of 300 run to 800 run. 1.0 0.8 0.6 Lam p spectrum I ~·inc: ~ 0.4c: 0.2 o 200 400 600 800 1000 1200 1400 1600 1800 Wavelength (nm) Figure 5.1: Intensity spectra for the light source used. The lamp spectrum range from 300 run to 1700 run. 5.2.2 Thickness distribution along the substrate Figure 5.2 show positions on the film whose thickness was determined by simulation of transmittance data. Position 1 indicates the region nearest the axis of rotation of the workholder on 53 which the substrate was attached. Although the length of the substrate was about 7.6 em, only about 5.5 em can effectively be investigated as the end marked A near the edge of workholder was covered with the clip attaching substrate to the workholder. Figure 4.2 illustrates this set up. III 7.6cm • (0 CJ 8 881 I I I I•EndO lcm 2cm 3.5cm 4.5cm 5.2cm III 5.5cm • Figure 5.2: Positions on the substrate whose thickness is plotted in figure 5.4. Figure 5.3 show the measured and simulated transmittance spectra at position 3 as representative spectra used to determine the thickness of the film for the other positions. The agreement between the simulated and experimental spectra is reasonably good. This suggests that the OJL model applied in this simulation adequately covers the transition involved in this film. The presence of oscillations on the transmittance spectra are as a result of interference fringes that occur when the I' film thickness is uniform otherwise the spectra would appear as a line. The presence of these oscillations contributes greatly to proper simulation of the film. 54 100 90 80- 70:::R0- 60Q) 0c: 50('0;:; E 40 U)c: ('0 30~I- 20 10 0 Thickness 297 nm --+ --Simulated spectrum -- .•..Experimental spectrum 400 500 600 700 Wavelength (nm) 800 Figure 5.3: Simulated and measured spectra for position 3 on the substrate Figure 5.4 shows the thickness distribution of the film a long the substrate as determined through simulations. 310 300 290 280 ,-... 270 ~~ 260 '"'"Q) 250..e u 240 ~ 230 220 210 200 2 Length from 3 4 5 end of substrate (em) Figure 5.4: Thickness distribution a long the substrate 55 From the graph (figure 5.4), the thickness along the length of the substrate varies slightly, with a maximum at the centre of the substrate. However, from the error bars shown based on the standard deviation there is no significant difference between the thicknesses recorded along the film ( Error bars are small and they all overlap). This is in agreement with Bach and Krause (1997) report that, for a central rotating substrate, the thickness variation a long the substrate should not be more than 14 nm as is the case in this work. This can be attributed to the fact that the source -to- substrate geometry of the sputtering chamber consists of rotating workholder and an eccentrically positioned source (target) off the axis of rotation as explained in section 4.2.1. The use of microscope slide as a substrate ensures high transparency in the visible wavelength range while film coating add interference effects to the surface, which changes the transmittance, reflectance and absorptance of the glass medium therefore providing a means of relating thickness from the simulation of the transmittance spectra as in this study. 5.3 Deposition characteristics This section report on, the reactive to sputtering gas flow levels and deposition rate as influenced by sputtering power and sputtering pressure. " 5.3.1 Reactive (oxygen) to sputtering (argon) gases flow levels The rate of sputtering in fully poisoned mode was found to be a bout 0.3 nmlmin in the sputtering range 300 -400 watts. At this rate, more than three hours would be required to deposit a film of reasonable thickness necessary for fitting of the transmittance spectra during simulations. In addition, the chamber temperature was found to rise due to the prolonged sputtering time resulting to erratic fluctuation of chamber pressure. The low sputtering rate can be associated with high 56 binding energy of the compound due to the oxide formed on the surface resulting to low sputter yield. When the supply of reactive gas (oxygen) is very small it was found that, the deposited film was almost metallic. After various trials with different gas flow levels, it was found that at a ratio of 70:30 for oxygen to argon gases respectively, the plasma colour changed from blue to yellow suggesting presence of enough oxygen mixture; the film deposition rate increased, and a transparent tungsten oxide film was deposited. Hence, oxygen to argon gases flow levels were fixed at 70:30 for this study. 5.3.2 Effect of sputtering power on deposition rate From figure 5.5 shown below, the variation of deposition rate as a function of increasing (square symbols) and decreasing (circular symbols) sputtering power show good agreement. That is, at a given sputtering power the deposition rate was maintained almost constant with time. The deposition rate was also found to increase with increase in sputtering power. This implies that deposition of these films was done in a relatively stable state and the results could therefore be reproduced (no hysteresis). The process involved monitoring the film deposition rate using quartz crystal oscillator fixed in the Edwards Auto 306 Sputtering system in order to determine the target I'behavior upon increasing and decreasing the sputtering power. This deposition rate is only an estimate as crystal oscillator gives a relative thickness and not the actual. It was observed that for sputtering power less than 300 watts the rate of deposition was very low while above 400 watts the films formed were metallic. Hence, the sputtering power investigated in this study was set between 300 watts and 400 watts. The triangular symbols show the deposition rates as determined through simulations from measured transmittance spectra of the tungsten oxide thin film samples deposited at different sputtering power. 15 14,..-.. 13~.-] 1211'-' Q) 10~~ 9~0.- 8.•....-000 7fr0 6 5 57 • -.- Increasing Power data -e- Decreasing Power data -A- Simulation data 300 340 380 400320 360 Sputtering Power (Watts) Fig.5.5: Deposition rate of tungsten oxide thin film as function sputtering power The deposition rates as determined through simulation differ from those calculated from quartz crystal data but both results indicate the same trend where deposition rate was found to increase with increase in sputtering power. This can be attributed to the fact that, increase in sputtering power results to an increase in momentum of the argon ions, which are responsible for knocking out the tungsten atoms from the target. Hence, the sputtering yield increases (Swann, 1988) resulting to higher rate of deposition as compared to lower sputtering power. In addition, since the chamber pressure is maintained constant, the mean free path for the tungsten atoms at higher sputtering power is not affected. Therefore, more of the sputtered tungsten atoms sputtered at higher power reaches the substrate resulting to increase in the deposition rate. 58 5.3.3 Effect of sputtering pressure on deposition rate. Figure 5.6(a) show the effect of increasing and decreasing sputtering pressure on deposition rate of tungsten oxide thin film as monitored using Quartz crystal oscillator, fixed inside the chamber. The values were obtained when the flow ratio of oxygen to argon gas was maintained at 70:30 respectively. It was observed that films deposited at sputtering pressures below 0.65 Pa were metallic while above 0.90 Pa, the deposition rate was very low and the plasma could not be sustained for long period necessary to deposit film of reasonable thickness. For this reason, the sputtering pressure that could be investigated in this study was (0.65 - 0.90) Pa. The sputtering power for this range of pressure was fixed at 350 watts. From figure 5.6(a) very slight variation of the deposition rate was found when the deposition pressure was increasing as compared to the case of decreasing pressure within the chamber. This indicates that the results were produced at a relatively stable state and can easily be reproduced. Hence, no reasonable hysteresis was reported . 8.0 •.•.~-c: 7.8'E--E.S- a> 7.6tV0::: I'c: 0 7.4 .•. Pressure Increasing~ II) ~ Pressure Decreasing0a. a> 7.20 7.0 0.65 0.70 0.75 0.80 0.85 0.90 Sputtering Pressure (Pa) Figure 5.6 (a) Variation of deposition rate for tungsten oxide thin film as a function of increasing and decreasing sputtering pressure. 59 The deposition rate as determined using quartz crystal oscillator figure 5.6(a) show the same trend but differ from those determined through simulations (figure 5.6 (b). An increase in deposition rate was observed from 0.65 Pa to 0.75 Pa followed by a pronounced decrease from 0.80 Pa to 0.90 Pa. 11.5 11.4 ;-0.,.S /i 11.3 ~~/11.2"-" •! 11.1 I:: 0.- 11.0.•....-en 0fr '10.9 -,0 10.8 0.65 0.70 0.75 0.80 0.85 0.90 Sputtering Pressure (pa) Figure 5.6(b): Deposition rate as a function sputtering pressure. The decrease in sputtering rate at 0.65 Pa can be associated with resputtering at low pressures (Ohring, 1992). This is due to the fact that at low sputtering pressures, the mean free path is high; enabling the sputtered tungsten atoms avoid multiple collisions with gas molecules and hence knock the substrate with high energy resulting to resputtering. The decreased deposition rate at sputtering pressures above 0.80 Pa can be attributed to a reduction in the mean free path due to increased pressure resulting to an increased particle scattering. Therefore, few sputtered atoms reach the substrate resulting to low deposition rate. Decrease in deposition rate as sputtering 60 pressure increases during sputtering is also reported by Kaneko et at. (1982), Berggren (2004) and Deneuville and Gerald (1978). 5.4 Optical properties of tungsten oxide thin films Sputtering power and sputtering pressure were found to affect the deposition rate (section 5.3) and therefore influence the optical properties of the films. Their effect on transmittance, refractive index, and band gap energy and extinction coefficient of the deposited tungsten oxide thin films are reported and discussed in this section. 5.4.1 Effect of sputtering power on optical properties The effect of sputtering power on transmittance, refractive index, and band gap energy and extinction coefficient are reported and discussed in this section. 5.4.1.1 Effect of sputtering power on transmittance From figure 5.7(a), the optical transmittance spectra of tungsten oxide thin films deposited at sputtering power of 300 watts to 400 watts shows high transmittance within the wavelength range I' 300-800 nm for different sputtering power. All spectra reveal very pronounced fringe interference effects as demonstrated by oscillations on transmittance spectra for photon energies below the absorption edge (wavelength greater than 350 nm). The periods of oscillation for films deposited at different sputtering power are approximately equal. The dependence of transmittance on wavelength is shown where transmittance peaks for films sputtered at different power increases with wavelength. Figure 5.7(b) is an extract from figure 5.7(a) which clearly shows the variation of transmittance on different films at a wavelength of 500 nm. From this figure, transmittance is found 61 to decrease with increase in sputtering power. The optical transmittance of the films at 500 nm decreased from approximately 87 % to 70 % with increase in sputtering power from 300 watts to 400 watts. Figure 5.8 (a) and (b) shows typical transmittance simulation spectra for tungsten oxide thin films deposited at 325 watts and 375 watts respectively. These sample spectra represents the simulation results for films deposited at varying sputtering power. The fit between the simulation spectrum and the experimental transmittance spectrum is reasonably good. The deviation of experimental spectrum from the simulation spectrum was 4.66 x 10-5 nm at 325 watts and 3.68 x 10-5nm at 375 watts as indicated during simulation. 100 80 -:::R 600••..... Q)occo~ 40·e I/)cco•... '20.- 0 200 '*' 300 watts -<>- 325 watts --- 350 watts .•. 375 watts ----l~ 400 watts 300 400 500 600 700 800 Wavelength (nm) Figure 5.7(a) optical transmittance as a function of wavelength for varying sputtering power 62 95 90 • 85--..'$. '-'d) 800a •t: •.- 75eIZla • ~ 70 • 65 60 300 320 340 360 380 400 Sputtering Power (Watts) Figure 5.7(b): Transmittance as a function of sputtering power at 500 nm. This data was obtained from the experimental spectra shown in figure 5.7(a) 100 90 80 70-~ 60Q) 0c: 50co~ E 40fI)c: ~ 30I- 20 10 0 300 400 -------..-Simulation -- Measured at 325watts 500 600 700 800 Wavelength nm Figure 5.8 (a) Simulated and measured spectra for film deposited at 325 watts \ 100 90 80 70;?e...... 60CI>0c 50m~'e 40(/Jcm 30'-~ 20 10 0 300 63 -+- Simulation -- Measured at 375watts 400 500 600 700 800 Wavelength (nm) Figure 5.8(b): Simulated and measured spectra for film deposited at 375 watts From the results shown in figure 5.7(a) the deposited tungsten oxide thin films are all transparent with their transmittance in the range of (60-87) percentage in the visible regions of the electromagnetic spectrum. Thisobservation is supported by Gordon et al. (2001) who reported that in its' fully oxidized state W03 is transparent throughout the visible region of the spectrum. The presence of oscillations in the transmittance spectrum suggests that the film thickness is fairly uniform. The decrease in transmittance as shown in figure 5.7(b) can be attributed to the fact that at higher sputtering power, the sputter yield is higher. As a result, more tungsten atoms reach the substrate and hence the ratio of tungsten to oxygen atoms in the resulting film is greater. The resulting sub-stochiometric WOx ,where x decreases with sputtering power show less transmittance. The good fit between simulation spectrum and experimental transmittance spectrum (figure 5.8(a) and (b)) implies that the optical constants obtained are reliable. 64 5.4.1.2 Effect of sputtering power on refractive index Figure 5.9(a) shows the variation of refractive index with the wavelength for films deposited at different sputtering power. The dependence of refractive index with wavelength is clearly shown where refractive index decrease with increase in wavelength. Figure 5.9(b) show the variation of refractive index with sputtering power at 400 nm where refractive index was found to increase with increase in sputtering power. However, the change in refractive index at 325 watts, 350 watts and 375 watts was found to be quit small but the change was notably high for films deposited at 300 watts and 400 watts. 2.60 2.55 2.50 2.45 2.40 2.35 >< 2.30:a 2.15 IV•...- 2.10Q)0::: 2.05 •2.00 300 • Refractive Index at 400 nm •• • 320 340 360 380 400 S puttering Power (Watts) Figure 5.9(b): Refractive index as a function of sputtering power at 400 nm. This data is obtained from figure 5.9(a) The increase of refractive index with increase in sputtering power can be associated with higher energy of the sputtered atoms at higher sputtering power resulting to a higher density of the deposited film. The fact that refractive index for films deposited at 325 watts, 350 watts and 375 watts was approximately the same suggests that that the densities of these films do not vary reasonably. At sputtering power of 400 watts, the sputter yield is high as is the energy of the sputtered tungsten atoms. This results to greater packing density of the film and hence high refractive index. The refractive index for film deposited at 400 watts was found to be more than 2.3 for wavelengths less than 500 nm. Electrochromic films have their refractive index around (2.3 - 2.4) Kaneko et al. (1982). Therefore, from this study films formed at an increased sputtering power (400 watts) with refractive index more than 2.3 are likely to be electrochromic. 66 5.4.1.3 Effect of sputtering power on optical band gap The band gap energy for the films deposited decreases with increasing sputtering power as shown in figure 5.10. At a sputtering power of 300 watts the band gap energy was a bout 3.16 eV and decreases to 2.99 eV at 400 watts. However, at 375 watts the band gap was 2.97 eV which is lower than that at 400 watts . 3.15 • >'Q)"-" ~ 3.10 J-. Q) ~ ~ 3.05c ] t:O 3.00 • • • • 300 320 340 360 380 400 Sputtering Power (watts) Figure 5.10: Band gap energy as a function of sputtering power At high sputtering power, the ratio of tungsten to oxygen increases due to increased sputter yield resulting to increased deficiency of oxygen in W03-x, where (x>O) hence forming substochiometric oxide with pseudo bands due to incomplete bonds. Such defects produced localized states in the 67 amorphous solids. The presence of these bands is associated with lower band gap energy (Theye, 1974). The general decrease in the band gap energy with sputtering power can be attributed to presence of these localized states. The band gap values in this study (2.97 -3.16) eV compares resonably with report by Daniel et al. (1988) that the band gap energy for reactively sputtered amorphous tungsten oxide from tungsten target is around 3.10 eV. The variation of band gap energy at 375 watts may be due to changes in composition, defects and impurities on the deposited film that affects the band gap. 5.4.1.4 Effect of sputtering power on extinction coefficient Figure 5.11(a), show the variation of extinction coefficient with wavelength where the extinction coefficient was found to increase exponentially with wavelength within the visible region of the spectrum. Figure 5.11(b) shows the variation of extinction coefficient with sputtering power. This data was extracted from figure 5.11(a) at 700 nm. The extinction coefficient decreased with increases in sputtering power; however, the value at 400 watts was almost the same as that at 325 watts. 40 / ,- 35 • 300Watts » ~ • 325Watts0 30 ~ 350WattsT"""x .- ~C 25 ... 375Watts Q) --+--400 Watts ~ ..,. ·0 IE 20 ~ ..,.. U 15ca13 10c ~W 5 0 500 600 700 800 Wavelength (nm) 68 Figure 5.11 (a) Extinction coefficient as a function of wavelength for films deposited at different sputtering power • ,., 2.0'0•.....• x • •.•...s:: •Q).-oS Q) 0U 1.5 •s::0.-.•...os::.-t<~ 1.0 300 320 340 360 380 400 Sputtering Power (Watts) Figure 5.11(b): Extinction coefficient as a function of sputtering power for films deposited at 700 nm. This data is obtained from figure 5.11(a) The trend for extinction coefficient as function of sputtering power is similar to that of band gap energy. At 400 watts, the coefficient remains the same as that of325 watts (figure 5.11(b). Increase I'in extinction coefficient for films deposited at 400 watts can be attributed to the changes in structure and composition of tungsten oxide formed. This is supported by the x-ray diffraction pattern (figure 5.17) that show film deposited at 400 watts having more defined peak at 25° as compared to others. Ong et al. (2001) reported that for large non-stoichiometry W03-x where (x> 0.4), the absorption goes up. From the equation a =41fk1A the extinction coefficient is proportional to absorption coefficient and hence the extinction coefficient is found to increase at 400 watts. 69 5.4.2 Effects of sputtering pressure on optical properties The effect of sputtering pressure on transmittance, refractive index, optical band gap, and extinction coefficient of tungsten oxide thin film are reported and discussed in this section. 5.4.2.1 Effects of sputtering pressure on transmittance Figure 5.12(a) show the optical transmittance for deposited tungsten oxide films with wavelength. The transmittance peaks for films deposited at different sputtering pressure were found to increase with increase in wavelength. The transmittance spectrum also indicates reasonable oscillation where the period of the oscillation for different films was approximately equal. Figure 5.12(b) has it's data extracted from figure 5. 12(a).It shows clearly the variation of transmittance with sputtering pressure at 500 nm. From the graph, the transmittance was found to increase with increase in sputtering pressure. Figure 5.13 (a) and (b) show the spectral fit between the experimental transmittance spectrum and the simulated spectrum for films samples deposited at a sputtering pressure of 0.65 Pa and 0.85 Pa. The spectral fit as indicated, reveal a good agreement between the experimental and simulated spectra. These samples are typical examples of the other films deposited under varying sputtering pressure. 70 100 00 00 70-~0'-' 60Q) 0c 50cu.•..•.•..•·E 40CJ)ccu 30•...I- 20 10 0 300 400 -T-O.90Pa -III- 0.85Pa ~0.75Pa ~O.65Pa 500 600 700 800 Wavelength (nm) Figure 5.12(a) Optical transmittance as a function of wavelength for films deposited at different sputter pressure 95 • _90 ~ •~ I' Q) ~ •.- ~85 ~E-< • 80 0.65 0.70 0.75 0.80 0.85 0.90 Sputtering Pressure (Pa) Figure 5.12 (b): Transmittance as function of sputter pressure at 500 nm. This data is obtained from experimental spectra shown-in figure 5.12 (a). 100 90 80 70...- ~ 60Q) 0c: 50CO~'E 40fJ)c: CO 30L.~ 20 10 0 300 400 71 •••••• + Simulated -a- Measured at 0.65 Pa 500 600 800700 Wavelength (nm) Figure 5.13(a) Simulated and measured spectra for film deposited at 0.65 Pa 100 90 80 70.•..•...~0'-' 60Q) 0c ~oro~'E 40 (/) Cro 30L.t- 20 10 0 300 400 + Simulated -a- Measured at 0.85 Pa 500 600 700 800 Wavelength (nm) Figure 5.13(b): Simulated and measured spectra for film deposited at 0.85 Pa 72 The recorded spectra show that tungsten oxide thin films deposited at sputtering pressures ranging from 0.65 Pa to 0.90 Pa are generally transparent with their maximum transmittance ranging between (81-90) percent within the visible spectrum. The increase in transmittance at higher pressures (figure 5.12(b)) can be attributed to the fact that at high pressures reduced mean free path; ensures high rate of collision between tungsten atoms and gas molecules, resulting to reduced momentum of sputtered atoms and therefore low packing density of the deposited film. At low chamber pressures, the sputtered tungsten atoms strike the substrate with high energy due to reduced collision as a result of high mean free path (Swann, 1988).The porosity of the films deposited is reduced and the refractive index increases resulting to decreased transmittance. Therefore, transmittance is found to increase with increase in sputtering pressure. The good fit (figure 5.13 (a) and (b)) between the experimental spectrum and simulated spectrum suggest that the model used in this simulation was adequate and hence the results are reliable. 5.4.2.2 Effects of sputtering pressure on refractive index Figure 5.14(a) shows spectral curves for refractive index as a function of wavelength for films deposited at different sputtering pressure. From the figure, refractive index was found to decrease with increase in wavelength. However, for films deposited at 0.75 Pa and 0.65 Pa their refractive index differ slightly as compared to those deposited at sputtering pressure of 0.90 Pa and 0.85 Pa, Figure 5.14(b) show the variation of refractive index at 400 nm for films deposited at different sputtering pressure. This data was obtained from figure 5.14(a) and clearly indicates that refractive index decreased with sputtering pressure. The refractive index decreased from a bout 2.43 to 2.08 73 as sputtering pressure increased from 0.65 Pa to 0.90 Pa respectively. 2.4 -F====~====A:==~ __ ~ 2.2Q)~~-Q)> 2.0.-.•... 0dtl:: Q) ~ 1.8 0.65 Pa ••• 0.75 Pa • 0.85 Pa• 0.90 Pa 400 500 600 1.6~~==~==~===-~--~--~--~----~--~---r---' 700 800 Wavelength (nm) Figure 5.14 (a): Refractive index as a function of wavelength for films deposited at different sputter pressure 2.45 •2.40 • 2.15 x 2.30Q) •"0c:- 2.25 Q).2: ~ 2.20'-'+-Q)a:: 2.15 2.10 •2.05 0.65 0.70 0.75 0.80 0.85 0.90 Sputtering Pressure (Pa) Figure 5.14(b): Refractive index at 400 nm as function of chamber pressure 74 Decrease in refractive index with increase in wavelength (figure 5.14(a)) agree with research finding reported by Green (1990), which indicate that refractive index for tungsten oxide films made by reactive de magnetron sputtering is about 2 with a tendency to decrease with wavelength. Figure 5.14(b) shows that the refractive index of tungsten oxide thin film was found to decrease with increase in sputtering pressure. This observation can be attributed to decrease in density at high sputtering pressures, since refractive index increases with density (Miyake et al. 1983). At high sputtering pressure, the mean free path is small and there are many collisions, which reduces the number and the energy of the sputtered atoms that settle on the substrate. Hence, packing density is low. This may lead to formation of porosities in the film at high pressures resulting in films of low refractive index. The observation made in this work is supported by report on density variation of tungsten oxide with decreasing pressure by Miyake et al. (1983). The report indicates that the density for sputtered amorphous tungsten oxide is about 6.1 g/cnr' and is found to increase to 6.7 g/cnr' with decreasing sputter pressure. The results obtained suggests that low sputtering pressure are likely to produce better electrochromic films as their refractive index values range from 2.3 - 2.4. This is in reference to Kaneko et al. (1982) finding that good electrochromic I'materials have their refractive index in the range 2.3-2.4. 75 5.4.2.3 Effects of sputtering pressure on optical band gap Figure 5.15 shows a decrease of the optical band gap with increase in sputtering pressure. The band gap energy was found to decrease from approximately 2.95 eV to 2.89 eV as sputtering pressure increased from 0.65 Pa to 0.90 Pa respectively. At high sputtering pressure the mean free path decreases resulting to multiple collision of the sputtered atoms. Therefore, fewer tungsten atoms with less energy reach the substrate. The resulting film has a stoichiometry with less oxygen deficiency in comparison with those deposited at lower sputtering pressure. Although this film is amorphous and disorderly, the grain sizes are considered wider than for those at lower pressures resulting to reduce band gap. This was pointed out by Green and Hussain (1991) in their explanation for band gap widening in disordered film. 2.95 • • 2.94 •->Q)........- >- 2.93 0>~ Q)c W 2.92a.roo "U 21}1croCD 2.90 • 2.89 0.65 0.70 0.75 0.80 0.85 0.90 Sputtering Pressure (Pa) Figure 5.15: Variation of band gap energy with sputtering pressure 76 The variation of band gap energy with sputtering pressure as shown in this study is supported by research finding reported by Kaneko et al. (1988), Kitao et al. (1992), and Miyake et al. (1983). They reported 3.0 < Eg< 3.4 eV for tungsten oxide thin film with a tendency that at high pressure of the sputter gas and a high 02 admixture (total sputtering pressure) in reactive sputtering giving a low Eg. The lower band gap reported in this study may be due to possible contamination in sputtering chamber, and incomplete bonds resulting to formation of localized bonds. 5.4.2.4 Effects of sputtering pressure on extinction coefficients From figure 5.16(a), the extinction coefficient was found to increase exponentially with wavelength within the visible region of the spectrum. The coefficient is also found to increase with sputtering pressure from (0.75 - 0.90) Pa (figure 5. 16(b)). From figure 5.15 the band gap energy in this study is found to be lower for films deposited at higher pressures. 30 25 ~ 20 C Q)·uIE 15 Q)o 0" C 10oUc:;:J 5 X W "P- 0.90 Pa ---0.85 Pa • 0.75 Pa 0.65 Pa • •• O~~----.---~----.---~-----.----~---.--~ 500 600 700 800 Wavelength (nm) Figure 5. 16(a): Extinction coefficient as a function of wavelength for tungsten oxide thin films deposited at different sputtering pressure 77 1.5 • ... 1.4'0 •~ X.•..c:Q) 1.3'0:;:: Q) 0 •o 1.2c: 015 •c: ~ 1.1W 1.0 0.65 0.70 0.75 0.80 0.85 0.90 Sputtering Pressure (Pa) Figure 5,16(b): Extinction coefficient as a function of sputtering pressure at 600 nm. The absorption is therefore expected to be higher at high- sputtering pressure deposited films. Since extinction coefficient (k) relates to absorption coefficient (u) through the equation a =47dd1 then the observed trend agrees with the theoretical predictions. However, film deposited at 0.65 Pa is found to have greater extinction coefficient contrary the trend exhibited by the others. This can be associated with various processes that take place during this film deposition, such as resputtering, which affects the tungsten to oxygen atoms ratio, in addition to presence of impurities and defects in the resulting film. 78 5.5:X-ray diffraction characteristics This section reports on x- ray diffraction characteristics of the deposited films as influenced by sputtering power and sputtering pressure. 5.5.1 Effect of sputtering power on x - ray diffraction characteristics Figure 5.17 shows the intensity spectra for films deposited at 300 watts, 350 watts and 400 watts. The intensity spectra for all the samples show two broad peaks at approximately 25° and 55°. However, at 25° the peak intensity for film deposited at 400 watts is relatively pronounced in comparison to the other. In addition, the intensity of the peak at 300 watts was relatively low in comparison to the others. 1200 1000 800 enQ. U 600 >-:!:enc:Q) 400-c: I" 200 0 --Intensity spectra at 350 watts --Intensity spectra at 400 watts --Intensity spectra at 300 watts 20 30 40 50 60 70 80 Figure 5.17: XRD spectra for tungsten oxide thin film deposited at different sputtering power. 79 The absence of any intensive peaks indicate that the x-ray scattered from different crystal plane in the film are not in phase and therefore do not interfere constructively. Hence, the films formed are amorphous in structure. The peak at 25° appear to become more pronounced as sputtering power increases from 300 watts to 400 watts. This agrees with previous suggestion based on variation of transmittance and refractive index that the film stoichiometry changes with increase in sputtering power although within the range of this study the deposited films were amorphous. 5.5.2 Effect of sputtering pressure on x-ray diffraction characteristics Figure 5.18 show the x -ray diffraction pattern for films deposited at sputtering pressures of 0.75 Pa and 0.85 Pa .These two spectra are typical examples of the other films deposited under varying sputtering pressure .. 900 800 700 600 II)a. U 500 ~·in 400c2E 300 200,- 100 o --Intensity spectra at O.85Pa Intensity spectra at O.75Pa 20 30 40 50 60 70 80 Figure 5.18: XRD spectra for tungsten oxide thin films deposited at 0.85 Pa and 0.75 Pa All the patterns reveal two broad peaks. The main peaks are at approximately at 25° and the minor peaks at 55°. The peak intensities for the two spectra are comparable at approximately 800 cps and 80 650 cps for films deposited at 0.75 Pa and 0.85 Pa respectively. The presence of the two broad peaks and the absence of any intensive peaks indicate, that the x-ray scattered from different crystal plane in the film are not in phase and therefore, do not interfere constructively hence the films are amorphous in structure. There is no major difference in the XRD pattern, incase of varying sputtering pressure within the range investigated in this work. This compares well with report of studies by (Ong et al., 2001) that tungsten oxide thin films are amorphous. 5.6 Surface microstructure Figure 5.19 shows an AFM image (1000 x 1000 nm scan range) of a sample of the tungsten oxide films deposited at 325 watts in this study. The image reveals very few white protrusions that are sparsely populated. Hence, the film is generally smooth. This implies that the deposited tungsten oxide thin films are amorphous in agreement with the results of XRD measurements reported in section.5.5. The surface features results show the columnar structure that is typical for many dielectric thin films. Surface microstructure of thin film coating significantly affects important properties of the optical scattering. Knowledge of optical scattering is important in determining the quality of optical components used in complex applications such as lasers, microscopes, and lithography systems. From scattering theories, the amount of optical scatter depends on the roughness height of a structure and on its' lateral distribution. Atomic force microscope (AFM) can measure the surface microstructure and the information obtained can substantially contribute to successful development of low-scatter optical coatings. 81 Figure 5.19: Atomic force micrograph of the surface of tungsten oxide thin film. 82 CHAPTER SIX CONCLUSIONS AND RECOMMENDATIONS 6.1 Conclusion Tungsten oxide thin films were successfully prepared by reactive de magnetron sputtering of tungsten target on glass substrate at room temperature. A correlation between the deposition parameters and optical properties of the films has been established. In particular, the influence of sputtering power between 300 watts and 400 watts and sputtering pressure between 0.65 Pa and 0.90 Pa were investigated. Changes in sputtering power were found to affect the deposition rate, refractive index, optical band gap and extinction coefficient such that, deposition rate and refractive index increases with sputtering power while band gap energy and extinction coefficient decreases with sputtering power. We can conclude that deposition rate highly influences the optical properties of tungsten oxide thin films deposited by reactive de magnetron sputtering. For the case of changing sputtering pressure, the refractive index and optical band gap decreases as the sputter pressure increase while the extinction coefficient increases with increase in chamber pressure. Therefore, the sputtering pressure influences the optical properties of the resulting " deposited films. Variation of refractive index among films deposited at different sputtering power and sputtering pressure suggest structural or compositional differences (Smith D. L., 1995). Therefore, deposition parameters used in this study influenced the optical as well as the structural properties of the deposited films. The amorphous nature of films deposited at these conditions of sputtering power and pressure are shown by their x-ray diffraction spectra. In addition, AFM images reveal a relatively smooth surface that is a characteristic of amorphous structure. Further, the transmittance spectra reveal highly transparent films within the visible range. From the results 83 obtained, we can conclude that the optical properties of tungsten oxide thin films are highly influenced by the sputtering power and the prevailing sputtering pressure. 6.2 Recommendations From the results of this study, it is clear that deposition conditions influence the optical properties of deposited films; however, the challenge remains the ability to maintain reproducibility and allow the transfer of process from one system to the other. To overcome this challenge it is important for more research in order to understand the influence of deposition parameters on type and energy of deposited atoms, film bombardment and substrate temperature. This can be done by applying different characterization methods such as Elastic Recoil Detection Analysis (ERDA) to gather reliable information. Among the main applications of tungsten oxide thin films is its use as an electrochromic material. Although e1ectrochromism has not been investigated in this study, report by Kaneko et al. (1982) indicates that good electrochromic materials have their refractive index between 2.3-2.4. From this study films deposited at high sputtering power of 400 watts at a constant sputter pressure of 0.80 Pa, and those deposited at lower sputter pressures of 0.65 Pa and 0.75 Pa while sputtering power was maintained at 350 watts were found to have their refractive index within the range of 2.3-2.4. 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