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Spectroscopic ellipsometry determination of the optical constants of titanium-dopedWO3 films made by co-sputter depositionM. Vargas, E. J. Rubio, A. Gutierrez, and C. V. Ramana Citation: Journal of Applied Physics 115, 133511 (2014); doi: 10.1063/1.4869665 View online: http://dx.doi.org/10.1063/1.4869665 View Table of Contents: http://scitation.aip.org/content/aip/journal/jap/115/13?ver=pdfcov Published by the AIP Publishing Articles you may be interested in Optical properties of nanocrystalline WO3 and WO3-x thin films prepared by DC magnetron sputtering J. Appl. Phys. 115, 213510 (2014); 10.1063/1.4880162 Optical properties of WO3 thin films using surface plasmon resonance technique J. Appl. Phys. 115, 043104 (2014); 10.1063/1.4862962 Dynamic in situ spectroscopic ellipsometric study in inhomogeneous TiO 2 thin-film growth J. Appl. Phys. 108, 013522 (2010); 10.1063/1.3457839 Electrical and optical properties of Sn doped CuInO 2 thin films: Conducting atomic force microscopy andspectroscopic ellipsometry studies J. Appl. Phys. 106, 053709 (2009); 10.1063/1.3211941 Real-time spectroscopic ellipsometry study of Ta–Si–N ultrathin diffusion barriers J. Vac. Sci. Technol. A 23, 1359 (2005); 10.1116/1.1996612
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Spectroscopic ellipsometry determination of the optical constantsof titanium-doped WO3 films made by co-sputter deposition
M. Vargas, E. J. Rubio, A. Gutierrez, and C. V. Ramanaa)
Department of Mechanical Engineering, University of Texas at El Paso, El Paso, Texas 79968, USA
(Received 5 January 2014; accepted 15 March 2014; published online 7 April 2014)
Titanium (Ti) doped tungsten oxide (WO3) thin films were grown by co-sputter deposition of W
and Ti metal targets. The sputtering powers to the W and Ti were kept constant at 100 W and 50 W,
respectively, while varying the growth temperature (Ts) in the range of 25–400 �C. The structural
quality of Ti-doped WO3 films is dependent on Ts. Ti-doped WO3 films grown at Ts< 400 �C were
amorphous. A temperature of 400 �C is critical to promote the structural order and formation of
monoclinic, nanocrystalline films. The optical constants and their dispersion profiles determined
from spectroscopic ellipsometry indicate that there is no significant inter-diffusion at the
film-substrate interface for W-Ti oxide film growth of �40 nm. The index refraction (n) at
k¼ 550 nm varies in the range of 2.15–2.40 with a gradual increase in Ts. Lorentz-Lorenz analysis
(n(k)¼ 550 nm) of the data indicates the gradual improvement in the packing density coupled
with structural transformation accounts for the observed optical quality of the Ti-doped WO3 films
as a function of Ts. A correlation between the growth conditions and optical constants is discussed.VC 2014 AIP Publishing LLC. [http://dx.doi.org/10.1063/1.4869665]
I. INTRODUCTION
Tungsten oxide (WO3) is an important “chromogenic”
material because of the coloration effects associated with vari-
ous processes.1–6 Low-dimensional structures, such as nano-
rods, nanowires, nano-particles, and ultra-thin films, of WO3
are recently gaining considerable interest for applications in
optoelectronics, microelectronics, photovoltaic devices, catal-
ysis, and integrated sensors.2–40 Optical and electrical proper-
ties of WO3 thin films are quite interesting for utilization in
smart window technology for energy-efficient architecture of
buildings and automobiles, flat-panel displays, optical mem-
ory and writing–reading–erasing devices, and electronic infor-
mation displays.1–6 Most recently, WO3 based materials are
considered and demonstrated to be attractive for application in
photoelectrochemical cells (PECs) for hydrogen production
by water-splitting.19–21 In addition, recently, application of
WO3 films in emerging dye-sensitized solar cells (DSSC)
technology has been demonstrated.22,23
The objective of the present work is to derive a compre-
hensive understanding of the structure and optical properties
of Ti-doped WO3 films deposited by co-sputtering of Ti and
W metals. The relevance and current interest in Ti-doped
W-oxide films are due to the following considerations.
Either Ti metal doping or capping is proved to alter the elec-
tronic structure in order to benefit the properties and device
performance.41–51 Enhancements in the electrical conductiv-
ity, luminescence, sensing ability, and photocatalytic per-
formance are the benefits expected and/or reported in the
literature under controlled Ti incorporation or TiO2-coupling
with other oxides.41–51 When Ti is sputtered onto ZnO at
400 �C, the near band edge luminescence enhances five times
in Ti/ZnO nanorod heterostructures.42 For the specific
case of Ti- and W-oxides, it has been reported that coupling
TiO2 photocatalyst with WO3 can extend the optical absorp-
tion to the visible region to enhance the photo-catalytic
efficiency.43–48 Recently, studies focused on TiO2-WO3 sys-
tem proved the enhanced photocatalytic performance of such
materials.43–49 The key to obtain such enhanced performance
is the specific composition and associated effect on the elec-
tronic structure and band gap.43–49 Also, it has been demon-
strated that W-Ti mixed oxides exhibit enhanced selectivity
and sensitivity to certain chemicals for their utilization in
integrated sensors.50,51 In our most recent work, using the
approach of W-Ti alloying in targets utilized for
sputter-deposition, enhanced electrical conductivity of 5%
Ti-doped WO3 compared with that of pure WO3 films has
been demonstrated.52,53 Similarly, the high end of Ti(20%)
into WO3 results in fully disordering, which results in
the formation of amorphous W-Ti-O films with optical prop-
erties tuned in between in TiO2 and WO3 by selectively
choosing the deposition temperature.41 Tuning the structure
and properties of such W-Ti-O films for applications in
inorganics and organics based photovoltaics has been
proposed.41 These considerations clearly demonstrate that
investigating the fundamental aspects of microstructure evolu-
tion and structure-property relationships in W-Ti-O films may
provide opportunities to tailor the microstructure and optical
properties of the materials for utilization in contemporary and
emerging energy technologies. Specifically, if tuned for com-
position similar to Al-doped ZnO, a set of materials based on
Ti-doped WO3 or selective composition in the W-Ti mixed
oxides can serve as transparent conducting electrodes for
application in emerging field of organics-based photovoltaics
and optoelectronics technologies. In this paper, we report on
the optical properties of Ti-doped WO3 co-sputtered films
determined using spectroscopic ellipsometry (SE). Obviously,
a)Author to whom correspondence should be addressed. Electronic mail:
0021-8979/2014/115(13)/133511/6/$30.00 VC 2014 AIP Publishing LLC115, 133511-1
JOURNAL OF APPLIED PHYSICS 115, 133511 (2014)
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the fundamental knowledge of the structure and optical con-
stants of these Ti-doped WO3 films will allow us to under-
stand their electronic behaviour and design the materials for a
given technological application.
II. EXPERIMENTAL
A. Film growth
Titanium (Ti) doped WO3 thin films were deposited
onto silicon (Si) wafers by radio-frequency (RF)
(13.56 MHz) magnetron sputtering. The Si(100) wafers and
quartz substrates were cleaned by RCA and chemical clean-
ing, respectively, as reported elsewhere.52–55 After cleaning,
all the substrates were dried with nitrogen before introducing
them into the vacuum chamber, which was initially evac-
uated to a base pressure of �10�6 Torr. The co-sputtering
was performed using the W and Ti metal targets
(Plasmaterials, Inc.) of 200 diameter and 99.95% purity. The
targets were placed on a 2-in. sputter gun, which was corre-
spondingly placed at a distance of 7 cm from the substrate.
The sputtering powers applied to W and Ti targets are 100 W
and 50 W, respectively. A sputtering power of 40 W was ini-
tially applied to the targets while introducing high purity ar-
gon (Ar) into the chamber causing plasma ignition. Once
ignited, the power was increased to the desired set value for
each target and oxygen (O2) was released into the chamber
for reactive deposition. The flow of the Ar and O2 and their
ratio were controlled using MKS mass flow meters. Before
each deposition, both the targets were pre-sputtered for
10 min using Ar alone with the shutter above the gun closed.
The samples were deposited at different temperatures (Ts)
varying from room temperature (RT¼ 27 �C) to 400 �C. The
deposition was made to obtain a film thickness of �40 nm.
The film thickness was verified with various analytical meth-
ods to ensure that films are reasonably with a constant thick-
ness for comparison of the data and analysis presented, and
to understand the effect of growth temperature on the struc-
ture and properties.
B. Characterization
The grown Ti-doped WO3 films were characterized by
performing structural and optical measurements. X-ray dif-
fraction (XRD) measurements on the samples grown on
Si(100) were performed by using a Bruker D8 Advance x-ray
diffractometer. In order to avoid interference by the substrate
and obtain diffraction pattern of the coatings, grazing inci-
dence X-ray diffraction (GIXRD) was performed on the films.
All the measurements were made ex-situ as a function of Ts.
GIXRD patterns were recorded using Cu Ka radiation
(k¼ 1.54056 �̊A) at RT. A high voltage of 40 kV was used to
generate the X-rays. The GIXRD patterns were recorded
employing the X-ray beam fixed at a grazing incidence of 1�.The scanning was performed in a 2h range of 15–70� using
the “detector scan” mode, where the detector was independ-
ently moved in the plane of incidence to collect the diffraction
pattern. The optical properties and surface/interface character-
istics were probed by SE. The measurements were made using
a J. A. Woollam VVASE spectroscopic ellipsometer operating
in the wavelength range of 250–1350 nm with a step size of
2 nm and at angles of incidence of 65�, 70�, and 75�, near the
Brewster’s angle of silicon. Number of revolutions per mea-
sure was set at 20. The ellipsometry data analysis was per-
formed using commercially available WVASE32 software.56
III. RESULTS AND DISCUSSION
The GIXRD patterns of WO3 films are shown in Fig. 1
as a function of Ts. The XRD patterns of Ti-doped WO3
films grown at Ts< 400 �C did not show any peaks indicat-
ing their amorphous (a-WO3) nature. The XRD peak corre-
sponding to monoclinic WO3 (m-WO3) phase appears for
Ti-doped WO3 films when Ts¼ 400 �C. The intense peak at
23.1� corresponds to diffraction from (002) planes. For pure
WO3 films, this peak corresponding to m-WO3 phase appears
when the Ts¼ 100 �C.54,55 However, initially it was broad
and then becomes narrower and intense with increasing Ts.
An increase in the average crystallite-size and preferred ori-
entation of the film along (002) with increasing Ts especially
for WO3 films grown at Ts� 200 �C was evident in our ear-
lier studies.54,55 In the present case of Ti-doped WO3
co-sputtered films, absence of diffraction peaks in GIXRD
patterns, it can be concluded that the films are completely
amorphous for Ts< 400 �C. Higher Ts (400 �C) required to
obtain nanocrystalline Ti-doped WO3 films compared with
pure WO3 films is attributed due to the Ti-doping.
Co-sputtering of Ti and W to obtain doping of Ti into WO3
prevents the crystallization and thus induces the amorphous
nature to the resulting Ti-doped WO3 films.
Optical constants of the Ti-doped WO3 co-sputtered
films were primarily probed by SE, which measures the rela-
tive changes in the amplitude and phase of the linearly polar-
ized monochromatic incident light upon oblique reflection
from the sample surface. The experimental parameters
obtained by SE are the angles W (azimuth) and D (phase
change), which are related to the microstructure and optical
properties, defined by57–60
q ¼ Rp=Rs ¼ tan W expðiDÞ; (1)
where Rp and Rs are the complex reflection coefficients of
the light polarized parallel and perpendicular to the plane of
FIG. 1. The GIXRD patterns of Ti-doped WO3 films co-sputtered at various
temperatures. The patterns confirm the absence of any diffraction peaks indicat-
ing the characteristic amorphous nature of the films grown at Ts¼RT-300 �C.
Samples deposited at Ts¼ 400 �C are nanocrystalline.
133511-2 Vargas et al. J. Appl. Phys. 115, 133511 (2014)
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incidence, respectively. The spectral dependencies of the
ellipsometric parameters, W and D, determined for Ti-doped
WO3 films grown at various temperatures are shown in
Fig. 2. The spectral dependencies of ellipsometric parame-
ters W (azimuth) and D (phase change) can be fitted with
appropriate models to extract film thickness and the optical
constants, i.e., the refractive index (n) and extinction coeffi-
cient (k), based on the best fit between experimental and
simulated spectra.57,58
The curves obtained for co-sputtered Ti-doped WO3
films indicate (Fig. 2) a reasonable agreement between the
experimental and simulation data. The Levenberg-Marquardt
regression algorithm was used for minimizing the
mean-squared error (MSE)57
MSE ¼ 1
2N �M
Xn
i¼1
Wexp: � Wcalc:ð Þrexp
Wi
( )224
þDexp: � Dcalc:
� �rexp
Di
( )2 #; (2)
where Wexp, Wcalc and Dexp, Dcalc are the measured (experi-
mental) and calculated ellipsometry functions, N is the num-
ber of measured W, D pairs, M is the number of fitted
parameters in the optical model, and r are standard devia-
tions of the experimental data points. Extracting meaningful
physical and optical parameters from SE requires the con-
struction of an optical model of the sample which generally
accounts a number of distinct layers with individual optical
dispersions. Interfaces between these layers are optical
boundaries at which light is refracted and reflected according
to the Fresnel relations. The optical stack model used to
simulate the spectra purpose of determining the optical con-
stants of Ti-doped WO3 co-sputtered films is schematically
shown in Fig. 3. The model contains, from top, Ti-doped
WO3 film, SiO2 interface, and Si substrate. The surface and
interface roughness were also considered in order to accu-
rately fit the experimental data. Tauc–Lorentz (TL) model
was used and empirical parameterization is based on the
Tauc expression for the imaginary part (e2) of the dielectric
function.42 For a single transition, the complex dielectric
function e2 is defined as57
e2 Eð Þ ¼ AL E0 C ðE � EgÞ2
ðE2�Eo2 Þ2 þ C2 E2
� 1E
" #; (3)
where E0 is the resonance energy, Eg represents band
gap energy, E photon energy, and AL, C are the amplitude
and broadening coefficient of e2 peak, respectively,
FIG. 2. The spectral dependence of W and D for Ti-doped WO3 films grown at various temperatures. The experimental data obtained and modeling curves are
shown.
FIG. 3. The optical stack model of the Ti-doped WO3 thin film sample con-
structed for ellipsometry data analysis.
133511-3 Vargas et al. J. Appl. Phys. 115, 133511 (2014)
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The aforementioned model allowed for the determination
of the optical constants, n and k, as well as thickness verifi-
cation. Note that the real and imaginary parts of the dielec-
tric function are related to n and k as e1¼ n2� k2; e2¼ 2nk.
The set of Ti-doped WO3 films was modeled with TL
oscillators while attempting to locate the best fit for the data
by minimizing the MSE. The modeling parameters are listed
in Table I. The governing oscillator of the genosc layer, the
TL oscillator has four unique parameters associated with it
and they are the amplitude (AL) of the e2 peak, the half width
(C) of the e2 peak, fixed center energy (E0) of the TL peak,
and the Tauc gap (Eg). This particular model employed for
the set of Ti doped WO3 films has been proven effective, in
the literature, to model reasonably transparent conducting
oxides.41,58,61–63 The microstructure information, specifi-
cally, film thickness and interfacial oxide thickness of
Ti-doped WO3 films were determined from SE analysis. The
variation of film thickness as a function of growth tempera-
ture is shown in Fig. 4. It is evident that the film thickness is
nearly constant with increasing Ts. Most important is that the
interfacial oxide (SiO2) is limited to 2–3 nm at the interface.
This result was consistent with our earlier reports for either
pure or T-doped WO3 films, where there was no significant
interfacial oxide growth.41
The most important optical parameters determined from
SE data are the optical constants, namely, the index of
refraction (n) and extinction coefficient (k). The dispersive
optical constants of Ti-doped WO3 co-sputtered films are
shown in Figs. 5 and 6. Spectral dependence of the extinction
coefficient (k) determined from SE data for Ti-doped WO3
films is shown in Fig. 5. It is evident that “k” values are low
and very close to zero in most part of the spectrum (Fig. 5)
which indicates very low optical losses due to absorption.
The onset or sharp increase in “k” at short wavelengths is
due to the fundamental absorption across the band gap. An
understanding of the structural quality of Ti-doped WO3
films can also be derived from the dispersion profiles of k(k).
Specifically, the curves (Fig. 5) indicate that the k value of
the Ti-doped WO3 co-sputtered films is almost zero in the
visible and near infrared spectral regions, while for photon
energies towards ultraviolet region, “k” increases sharply.
The k(k) behavior is obviously related to the optical quality
of the films. Strong absorption with no weak shoulders or
tailing behavior for the Ti-doped WO3 films can be attributed
to the high quality of the grown layers with a very high trans-
parency. The dispersion profiles of index of refraction (n)
determined from SE data for Ti-doped WO3 films are shown
in Fig. 6. The results indicate a similar behavior as noted in
k(k). The “n” dispersion curves also indicate a sharp increase
at shorter wavelengths corresponding to fundamental absorp-
tion of energy across the band gap. However, the effect of Ts
is evident in the dispersion curves (Fig. 6), where there is an
increase in “n” values with increasing Ts.
In order to understand the physics of Ti-doped WO3
films and the effect of Ts on their optical constants, the “n”
variation of the films at k¼ 550 nm with Ts is shown in
Fig. 7. At a k¼ 550 nm, the “n” values increase from 2.15 to
2.40 with increasing Ts from 25 to 400 �C. For comparison,
at 550 nm, the “n” values of bulk, crystalline WO3 (Refs. 1
and 64) and TiO2 (Ref. 65) are 2.2 and 2.5, respectively. It
can be seen (Fig. 7) that the data exhibit a linear dependence
on Ts indicating the functional Ts-n linear relationship of
Ti-doped WO3 co-sputtered films. A simple model can be
formulated to explain the observed functional Ts-n
FIG. 4. Thickness of Ti-doped WO3 co-sputtered films grown at various Ts.
TABLE I. Ellipsometry modelling parameters of W-Ti-O films.
Temperature (�C)! RT 200 300 400
Oscillator 1 Tauc-Lorentz Tauc-Lorentz Tauc-Lorentz Tauc-Lorentz
AL 97.736 6 2.42 108.01 6 1.1 104.35 6 1.26 98.145 6 2.24
E0 4.3604 6 0.00958 4.4931 6 0.0037 4.3571 6 0.0046 4.5279 6 0.00735
C 1.7857 6 0.034 1.9407 6 0.0151 1.6371 6 0.014 1.4972 6 0.0186
Eg 3.113 6 0.00959 3.093 6 0.00398 2.9853 6 0.00551 2.8673 6 0.0129
FIG. 5. The k(k) curves of Ti-doped WO3 films grown at various Ts. The
extremely low values of k at k> 400 nm can be attributed to the transparent
nature.
133511-4 Vargas et al. J. Appl. Phys. 115, 133511 (2014)
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relationship in co-sputtered Ti-doped WO3 films. Evident
from the results, the optical constants and their dispersion
behavior depend on Ts. GIXRD measurements demonstrated
that the Ti-doped WO3 co-sputtered films grown at
Ts< 400 �C are completely amorphous while Ts¼ 400 �Ccrystallizes the film in a monoclinic phase. The observed
increase in “n” values when Ti-doped WO3 films are grown
at higher Ts can be attributed to the improved packing den-
sity of the films. However, we believe that the packing den-
sity slightly improves but not significantly. Perhaps, the
temperature is not enough to promote the structural order but
is sufficient to increase the mobility of ad-atoms to join to-
gether to increase the packing density of the materials in the
films leading to observed increase in “n” values. In order to
confirm the validity of this hypothesis, the relative density
(which is the ratio of film density to that bulk of the material)
of Ti-doped WO3 co-sputtered films has been determined
from Lorentz-Lorentz relation66
P ¼qf
qb
¼ ðnf �1Þ2
ðnf þ 1Þ2� ðnb þ 1Þ2
ðnb � 1Þ2
" #; (4)
where q is the density, nf is the refractive index of the deposited
Ti-doped WO3 film, and nb is the refractive index of the bulk
material. The measured “n” values from SE are used for
Ti-doped WO3 films. The functional dependence of the relative
density of Ti-doped WO3 films on the Ts is shown in Fig. 8. It
can be seen that there is a direct correlation between the index
of refraction, relative density, and growth temperature suggest-
ing that the improved packing density accounts for the observed
optical constants and their behavior in Ti-doped WO3 films.
IV. CONCLUSIONS
Ti-doped WO3 films were fabricated using
sputter-deposition by varying deposition temperature in the
range of 25–400 �C. The structure and optical properties of
the grown Ti-doped WO3 films were evaluated as a function
of growth temperature. Crystal structure analyses indicate
and confirm that Ti-doped WO3 co-sputtered films were
amorphous at up to Ts¼ 400 �C, at which point formation
of nanocrystalline, monoclinic films occurs. The effect
Ti-incorporation and associated amorphization is dominant
except at Ts¼ 400 �C. The dispersive optical constants were
evaluated and a correlation between Ts and optical property
of the Ti-doped WO3 films was established based on the spec-
troscopic ellipsometry results. Ti-doped WO3 films grown at
Ts¼ 25–400 �C are highly transparent and exhibit low optical
losses in the visible and near infrared regions. The SE data
indicate that the index of refraction of the samples increases
from 2.15 to 2.40 with increasing Ts from 25 to 400 �C.
Relative density determined from Lorentz-Lorentz relation
using the measured “n” also correlates with proposed mecha-
nism of improved packing density in the films with increasing
Ts leading to the linear trend observed in index of refraction
values of Ti-doped WO3 co-sputtered films.
ACKNOWLEDGMENTS
This work is supported by the National Science
Foundation (NSF) with NSF-PREM Grant No. DMR-1205302.
1C. G. Granqvist, Handbook of Inorganic Electrochromic Materials(Elsevier, New York 1995).
FIG. 6. The dispersion profiles of index refraction of Ti-doped WO3 films
grown at various Ts. The sharp increase in index of refraction at k� 400 nm
is due to fundamental absorption across the band gap of the films.
FIG. 7. The functional dependence of index of refraction measured at
k¼ 550 nm on the Ts for Ti-doped WO3 co-sputtered films. A gradual
increase in index of refraction suggests improved packing density of the
films with Ts.
FIG. 8. The functional dependence of relative density of the Ti-doped WO3
co-sputtered films on Ts. The relative density values were calculated from
Lorentz-Lorentz model.
133511-5 Vargas et al. J. Appl. Phys. 115, 133511 (2014)
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