Abstract. TiO2 nanocrystal powders have been prepared by sol-gel routes. By controlling
pH, TiO2 nanoparticles of sizes ranging from 7 to 14 nm can be synthesized. X-ray
diffraction (XRD) analysis indicated that both the anatase and the rutile phase appears
in the powder when pH < 2. At this pH, a single anatase phase is obtained. These results
are clarified by SEM and Raman spectroscopy. Moreover, the Raman spectroscopy was
used to discuss the size effect and non-stoichiometry effect based on the blue shift and
broadening of the lowest-frequency Eg 144 cm−1 Raman mode.
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JOURNAL OF SCIENCE OF HNUE DOI: 10.18173/2354-1059.2015-0029
Mathematical and Physical Sci., 2015, Vol. 60, No. 7, pp. 35-40
This paper is available online at
RAMAN STUDY OF THE SIZE EFFECT AND THE NON-STOICHIOMETRY
EFFECT ON THE STRUCTURE OF TiO2
Nguyen Cao Khang and Nguyen Van Minh
Faculty of Physics, Hanoi National University of Education
Abstract. TiO2 nanocrystal powders have been prepared by sol-gel routes. By controlling
pH, TiO2 nanoparticles of sizes ranging from 7 to 14 nm can be synthesized. X-ray
diffraction (XRD) analysis indicated that both the anatase and the rutile phase appears
in the powder when pH < 2. At this pH, a single anatase phase is obtained. These results
are clarified by SEM and Raman spectroscopy. Moreover, the Raman spectroscopy was
used to discuss the size effect and non-stoichiometry effect based on the blue shift and
broadening of the lowest-frequency Eg 144 cm−1 Raman mode.
Keywords: Raman spectroscopy, size efect, non-stoichiometry.
1. Introduction
Titanium oxide (TiO2) is a functional material for which there are several technological
applications strongly related to its crystalline structure and nanocrystal size and morphology [1-5].
It has one stable phase, the rutile (tetragonal), and two metastable polymorph phases, the brookite
(orthorhombic) and the anatase (tetragonal). Both metastable phases become the rutile (stable)
when the material is submitted to temperatures above 700 ◦C (in a pure state with no additives).
TiO2 is a versatile semiconductor oxide with potential applications as photocatalyst [6, 7], solar
cell [8, 9] and gas sensor [10]. Furthermore, TiO2 nanocrystals are non-toxic compounds and
can be a candidate for biological applications [11]. The applications of nanosized anatase TiO2
are primarily determined by its physicochemical properties such as crystalline structure, particle
size, surface area, porosity and thermal stability. Proper control of these properties, especially
size effect and non-stoichiometry depending on the preparation conditions of nanosized TiO2,
represents some of the key issues in this area.
Among the various techniques to characterize TiO2, Raman spectroscopy has certain unique
advantages because it is very sensitive to nanocrystallinity of the anatase TiO2. The anatase
phase is evident from the characteristic Raman modes at 144 (Eg), 403(B1g), 515(A1g, B1g)
and 638 (Eg) cm−1. The changes in the Raman spectrum of nanocrystalline anatase, the phase
most commonly synthesized at ambient conditions, have been interpreted as originating from the
size effect [12], non-stoichiometry [13] or internal stress/surface tension effects [14]. Although the
majority of published studies point out size effect as the main factor responsible for the changes
Received September 10, 2015. Accepted October 26, 2015.
Contact Nguyen Cao Khang, e-mail address: khangnc@hnue.edu.vn
35
Nguyen Cao Khang and Nguyen Van Minh
observed in the Raman spectrum of nanocrystalline anatase, some researchers have interpreted
their results favoring other factors, considering structural characteristics of nanopowders.
The main purpose of this work is to clarify the role of size effect and non-stoichiometry
on Raman spectra by simultaneously analysing the data of XRD, TEM and Raman spectroscopy
measurements of TiO2 anatase prepared by controlled synthesis process.
2. Content
2.1. Experiment
The synthesis of TiO2 nanocrystals is accomplished with a drop wise addition of 5 mL
aliquot of Ti[OCH(CH3)2]4 dissolved in isopropyl alcohol (5 : 95) to 900 mL of doubly distilled
water. By controlling the pH of the solution, TiO2 nanocrystals with different size can be
synthesized. This solution was then evaporated for drying in a steam bath. The dry residue was
then transferred to a horizontal muffle furnace and heated at 400 ◦C for 2 h to obtain the final
sample. To study the effect of nonstoichiometry oxygen in TiO2, the gel obtained was also heated
in O2, N2, and air, respectively.
The structure of TiO2 samples were determined using X-ray diffractometer D5005 (Siemen)
with CuKα radiation. The low resolution TEM images were taken on a JEOL 1200EX transmission
electron microscope operated at 80 kV. High resolution transmission electron microscopy
(HRTEM) images were obtained on a Tecnai F30 HRTEM machine operated under 300 kV.
Measurements of Raman spectra were recorded using a T64000 Raman spectrometer (Jobin-Yvon).
2.2. Results
Figure 1. SEM, TEM and HR-TEM images of TiO2 nanoparticles prepared
in a solution with pH = 8, 7, 4, 3 and 2
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Raman study of the size effect and the non-stoichiometry effect on the structure of TiO2
The crystalline morphology, particle size, and lattice spacing of the products were first
investigated using SEM and HR-TEM. Figure 1 shows the SEM and TEM images of TiO2
nanoparticles prepared usi ng the sol-gel method. At a pH of 2 to 8, particle size was 7.6 nm
to 20 nm. The results from Figure 1 imply that the pH value of the precursor solution is a decisive
factor in controlling final particle size and shape, crystal phase and agglomeration. Figure 1 also
shows a high-resolution TEM image of the as-synthesized TiO2 nanocrystallites calcined with
pH = 2. It shows clear lattice fringes, indicating the established crystallinity of TiO2 crystallites.
Since a crystallite can be defined by studying the orientation of the lattice fringes, one can see that
the average crystallite size in the synthesized TiO2 powder is about 7 nm in diameter.
Powder XRDwas performed to study the crystallographic structure of the samples. Figure 2
shows the XRD spectra of the prepared nanoparticle. The width of the peak becomes broader
indicating a particle size decrease. This is in agreement with SEM and TEM images. At a pH of 2
to 8, single phase anatase samples are obtained with particle size of 7.6 nm to 18.2 nm, calculated
using Scherrer’s equation (Figure 2b). Besides the anatase phase, when pH = 1.7, the rutile phase
also appears in our samples when particle size was approximately 7.5 nm (Figure 2a).
Figure 2. The XRD spectra of TiO2 particle prepared in a solution with pH = 1.7, 2, 3, 4, 7 and 8.
The caption figure are the XRD of the sample with a range from 24 to 28◦ (a)
and paticle size of the samples dependent on pH (b)
Figure 3 shows the Raman spectra of the obtained anatase TiO2 powder in various sizes. Six
Raman peaks at 144, 200, 398.48, 513, 519.54 and 643.74 cm−1. Those peaks were assigned to Eg,
Eg, B1g, A1g, B1g, and Eg, respectively, as suggested in previous reports [15]. The positions and
intensity of the six Raman active modes are also in good agreement with the reference values
determined previously for anatase structure TiO2. At a pH of 2 to 8, the full widths at half
maximum (FWHM) of the first Eg 144 cm−1 bandrange from 15 to 12 cm−1. The position of this
mode for different TiO2 samples ranges between 145 and 147 cm−1, as can be seen in Figure 3b.
37
Nguyen Cao Khang and Nguyen Van Minh
Figure 3. Raman spectra of TiO2 particle prepared in a solution with pH = 1.7, 2, 3, 4, 7 and 8
The caption figure are the full widths at half maximum (FWHM) of the first Eg 144 cm−1 (a)
and the possion of the first Eg 144 cm−1 (b) samples dependent on paticle size
Figure 4. Raman spectra of TiO2 particles prepared
by heating Ti(OH)4 in N2, O2 and in air
Figure 4. shows the Raman spectra of TiO2 nanoparticle prepared by heating Ti(OH)4 in
N2, O2 and in air. For stoichiometry anatase crystals of 7 nm diameter, annealed in air or in oxygen
at 400 ◦C, a FWHM of 17 cm−1 is estimated, whereas the width of the band in a larger crystal
is about 8 cm−1. The Raman spectrum of a non-stoichiometry sample (annealed in nitrogen at
400 ◦C) is dominated by broad anatase features: the full widths at half maximum (FWHM) of
the 144 cm−1 band is 19 cm−1, whereas the width of band in the sample annealed in air or in
oxygen at 400 ◦C are about 8 cm−1. The band broadening is significant. The first Eg peaks of all
38
Raman study of the size effect and the non-stoichiometry effect on the structure of TiO2
samples heated in N2, O2 and in air are around 152 cm−1. It is clear that the main cause of the
Raman band shifts to a higher wave number as particle size decreases. From the Raman spectra
of nanophase TiO2 in Figure 4, it is clear that the oxygen non-stoichiometry can be assessed by
Raman scattering. This technique is useful because both phases, anatase and rutile, are measurable
and sensitive to the non-stoichiometry. Although there is not yet a theoretically justified functional
dependence for the spectral features as a function of O/Ti ratio, the curves are smoothly monotonic
and can yield a qualitative assessment of the non-stoichiometry of material.
Comparing the Raman spectra in Figure 3, it is clear that the Raman bands shift towards a
higher wave number and their intensities decrease as particle size decreases. The result in Figure
4 show that the broadening of the spectral peaks are due to the oxygen non-stoichiometry of
the material. Thus, the observed shift is due to the effect of decreasing particle size on other
properties of the nanoparticles. When particle size decreases to the nanometer scale, two effects
on the vibrational properties of these materials might occur. First, a volume contraction occurs
within the nanoparticles that is due to size-induced radial pressure, which leads to increases in the
force constants as a result of the decreases in the interatomic distances. In vibrational transitions,
the wave number varies approximately in proportion to k1/2, where k is the force constant.
Consequently, the Raman bands shift towards a higher wave number due to the increasing force
constants. Second, the contraction effect induces decreases in the vibrational amplitudes of the
nearest neighbor bonds, which can be interpreted as a measure of the static disorder and thermal
vibrational disorder of a material. This decrease in vibrational amplitude with decreasing particle
size affects the intensity of the Raman bands. We conclude that the observed shift in the Raman
spectra of TiO2 nanoparticles is due to the effect of smaller particle size on the force constants and
vibrational amplitudes of the nearest neighbor bonds.
3. Conclusion
We have presented the process for synthesis TiO2 nanomaterials. At a pH of 2 to 8, single
phase anatase samples are obtained with particle size of 7.6 nm to 18.2 nm. The size effect was
found to be the main cause of the blue shift of the main Raman peak in anatase nanocrystals and the
main cause of the broadening due to the non-stoichiometry effect. We also conclude that the use of
Raman scattering for the characterization of non-stoichiometry effect, although very popular, still
needs significant experimental and theoretical improvements before it can be considered a reliable
approach.
Acknowlegments. The research was financed by NAFOSTED code 103.02.2014.21.
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