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ORIGINAL PAPER
Polydimethylsiloxane/silica/titania composites preparedby solvent-free sol–gel technique
Mihaela Alexandru • Maria Cazacu • Alexandra Nistor •
Valentina E. Musteata • Iuliana Stoica •
Cristian Grigoras • Bogdan C. Simionescu
Received: 7 May 2010 / Accepted: 10 August 2010 / Published online: 21 August 2010
� Springer Science+Business Media, LLC 2010
Abstract Composites based on polydimethylsiloxane
incorporating silica and titania were prepared by mixing
polydimethylsiloxane with proper oxides precursors, tet-
raethyl-orthosilicate and tetrabutyl-orthotitanate. In the
presence of environmental humidity and in acid catalysis,
hydrolysis/condensation processes take place with forma-
tion of oxides and concomitantly polymer crosslinking.
Partial replacement of SiO2 in a polydimethylsiloxane/
silica composite with titania (both generated in situ by
sol–gel process) affects surface hydrophilicity (evaluated
by dynamic contact angle), water vapor sorption ability
(determined by dynamic vapor sorption) and thermal sta-
bility. The dielectric properties are also controlled by
composition.
Keywords Composites � Sol–gel technique �Polysiloxanes � Titania � Silica
1 Introduction
The obtaining of composite materials by sol–gel technique
has been widely investigated [1–5]. As compared to other
techniques, the sol–gel approach has several advantages:
low costs, low temperature of heat treatment, unique ability
to achieve molecular level uniformity in the synthesis of
organic–inorganic composites, and strong adhesion of the
coating to the substrate [6, 7].
Polydimethylsiloxane/SiO2 composites prepared by the
reaction of polydimethylsiloxane (PDMS) and tetraethyl-
orthosilicate (TEOS) have also been extensively studied
[8–16]. These materials can be considered as ‘‘ceramic
rubbers’’ depending on the TEOS/PDMS molar ratio.
When PDMS concentration is increased, the final material
presents rubber-like properties. For high TEOS concen-
trations, hard composites are obtained. The rubbery prop-
erties are dependent on various reaction parameters, such
as temperature, acid concentration, reaction time, etc.
The incorporation of different inorganic components,
instead of or aside from TEOS, into the hybrid structure is
usually carried out in order to improve the mechanical,
thermal, and optical properties or to obtain new properties
derived from the hybrid nature of the material [17–22].
Due to their interesting properties such as elasticity,
insulating ability and easy processing, silicones are used in
microelectromechanical systems (MEMS) where they play
a structural role as protective layers, encapsulating ele-
ments, valves and diaphragms. However, by using active
fillers, the dielectric properties of silicones can be modified
[23, 24]. Titania has a high dielectric constant (e * 89)
being of real interest for this purpose. In addition, it is an
important inorganic functional material, with good physical
properties, which make it suitable for thin film applica-
tions. Films containing TiO2 have been often used in
microelectronic devices, e.g. in capacitors, or as a dielectric
gate in metal-dielectric-semiconductor devices. Titania
occupies also an important place as a photocatalyst, due to
its high photocatalytic activity, excellent functionality,
high chemical and thermal stability and non-toxicity [25].
The preparation of PDMS/SiO2/TiO2 composites by
the sol–gel method has already been reported in literature
M. Alexandru (&) � M. Cazacu � A. Nistor �V. E. Musteata � I. Stoica � C. Grigoras � B. C. Simionescu
‘‘Petru Poni’’ Institute of Macromolecular Chemistry, Aleea Gr.
Ghica Voda 41 A, Iasi 700487, Romania
e-mail: [email protected]
B. C. Simionescu
Department of Natural and Synthetic Polymers, ‘‘Gh. Asachi’’
Technical University of Iasi, Iasi 700050, Romania
123
J Sol-Gel Sci Technol (2010) 56:310–319
DOI 10.1007/s10971-010-2307-5
[19, 26, 27] and phase-separated materials in which SiO2
and TiO2 particles are dispersed in the silicone matrix were
generally obtained [28, 29]. As an alternative to literature
approaches, the present paper deals with the obtaining of
PDMS/SiO2/TiO2 composites in the absence of solvents.
Solvent-free systems present environmental advantages
and, on the other hand, this method diminishes the problem
created by the solvent removal at the end of the reaction,
which determines porosity in the material. In addition, this
would be a preferred alternative when a high molecular
mass polydimethylsiloxane is used as polymer matrix,
taking into account that this is insoluble in solvents com-
monly used in sol–gel technique. A series of composites
based on PDMS filled with in situ generated SiO2 and TiO2
was prepared. The influence of TiO2 content on the
dielectric properties was investigated. Other properties of
interest in dielectric applications, namely surface (dynamic
contact angle, dynamic vapor sorption) and thermal prop-
erties were also studied.
2 Experimental
2.1 Materials
Polydimethylsiloxane-a,x-diol (Mv ¼ 48; 000) was pre-
pared according to a previously described procedure [8, 30].
Tetraethyl-orthosilicate (TEOS), purchased from Fluka
(purity [ 98%, b.p. = 163–167 �C, d420 = 0.933) was used
as received. Tetrabutyl-orthotitanate (TBT) (d = 0.966
g/cm3, b.p. = 310–314 �C, m.p. = -55 �C, d420 = 1.486).
Dibuthyltin dilaurate (DBTDL, d420 = 1.055) was received
from Merck-Schuchardt, and was used as received.
2.2 Equipments
Fourier transform infrared (FTIR) spectra were obtained on
a Bruker Vertex 70 FTIR analyzer. The analyses were
performed in transmission mode, in the 400–4,100 cm-1
range, at room temperature with 2 cm-1 resolution and
accumulation of 32 scans. The ground samples were
incorporated in dry KBr and processed as pellets.
Water vapors sorption capacity of the film samples was
measured by using the fully automated gravimetric ana-
lyzer IGAsorp supplied by Hiden Analytical, Warrington
(UK). An ultrasensitive microbalance measures the weight
change as the humidity is modified in the sample chamber
at a constant regulated temperature. The measurement
system is controlled by a user-friendly software package.
Dynamic contact angles (DCA) and contact angle hys-
teresis were measured on films by using a KSV Sigma 700
tensiometer system—a modular high-performance, com-
puter controlled surface tension/contact angle meter. The
measurement parameters were: advancing–receding speed,
5 mm/min; start depth, 0 mm; immersion depth, 8 mm;
number of cycles, 3; the average values were taken into
consideration.
Thermogravimetric measurements (TGA) were per-
formed in the 0–750 �C temperature range at a heating rate
of 10 �C/min in air using a Q-1500D System.
Glass transition and melting processes of PDMS based
composites were followed using a Pyris Diamond DSC
(Perkin Elmer USA) instrument. The samples were cooled
from room temperature to -150 �C, held at this tempera-
ture 2 min, and then heated up to 50 �C at a heating rate of
20 �C/min. Helium gas was purged through the cells at
20 ml/min to assure an inert atmosphere and good thermal
conductivity. Before measurements, the DSC instrument
was calibrated for temperature and energy scale using n-
hexane and pure water as recommended standards for LN2
range of DSC analysis. The glass transition temperature
was calculated as a midpoint of the heat capacity of the
sample.
Novoncontrol setup (Broadband dielectric spectrometer
Concept 40, Germany), integrating an ALPHA frequency
response analyzer and a Quatro temperature control sys-
tem, was used to investigate the dielectric properties of the
polymer composites over a broad frequencies window,
100–106 Hz, in the -140 7 30 �C temperature range. The
bias voltage applied across the sample was 1.0 V. Samples
having uniform thickness in the 0.2–0.9 mm range were
placed between gold plated round electrodes, the upper
electrode having a 20 mm diameter.
The AFM measurements were made on a Scanning
Probe Microscope Solver Pro-M platform (NT-MDT,
Russia), in air, in semi-contact mode, using a rectangular
NSG10/Au cantilever with a nominal elasticity constant
KN = 11.5 N m-1 and a 10 nm radius of curvature of the
tip. A 257.8 kHz oscillation frequency was used. The scan
area was 20 lm 9 20 lm, 256 9 256 scan point size
images being thus obtained. The AFM image processing
and the calculation of the surface texture parameters were
realized by the Nova Software (NT-MDT, Russia).
2.3 Composites preparation
The synthesis of a polydimethylsiloxane/silica/titania com-
posite was carried out as follows. 1.000 g (0.020 mmol) of
PDMS with Mv ¼ 48; 000 was introduced in a Teflon dish
and mixed with 0.500 g (2.400 mmol) TEOS and 0.038 g
(0.111 mmol) TBT. After about 10 min of stirring, 0.003 g
(0.005 mmol) of DBTDL was added and the stirring was
continued for another 10 min. The mixture was poured on a
Teflon foil and vacuumed for 10 min to eliminate the
incorporated air. This sample was labeled as T5. The other
J Sol-Gel Sci Technol (2010) 56:310–319 311
123
composites were obtained following the procedure described
above but using amounts of reactants according to Table 1.
3 Result and discussions
A polydimethylsiloxane-a,x-diol was used as matrix for
preparing composite materials with SiO2 and TiO2 by
adapting a solvent-free sol–gel procedure. We chose this
way because as is known, PDMSs of high molecular mass
(e.g., 48,000) have a low solubility in solvents that are
common for sol–gel technique, such as alcohols, ketones
and dimethylsulfoxide. Instead, they are soluble in non-
polar solvents like hydrocarbons and their halogenated
derivatives, many of them being toxic.
For this purpose, oxide precursors (TEOS and TBT) and
a condensation catalyst (DBTDL) were added in pre-
established amounts to the polymer. After energic stirring
and gas removing, the mixtures were processed as films.
The hydrolysis of the corresponding precursors took place
under the influence of the atmospheric humidity followed
by catalytic condensation with the formation of silicon and
titanium oxides networks [26]. In addition, as a result of
the reactions of the alkoxydes and their hydrolysates with
Si–OH PDMS end groups, a crosslinking of PDMS occu-
red. Obviously, TEOS and TBT also act as crosslinking
agents (Scheme 1).
The method used for the samples preparation in this study
is based on the same principle as the room temperature
vulcanization of the silicone rubber (RTV), in which the
crosslinking of the polydimethylsiloxane-a,x-diol occurs by
polycondensation reactions in the presence of environmental
humidity, and needs a few days for curing. Water must dif-
fuse deep into the film, while low molecular condensation
compounds (i.e. alcohol) migrate outwards [31]. Therefore,
the films were kept in the laboratory environment for about
2 months before investigations, when the weighting dem-
onstrated the mass stabilization. In our case there was a
relative humidity of 40–60% in the laboratory. The obtained
white opaque films (of about 0.2–0.9 mm thickness) were
easily peeled off from the substrate.
The inorganic part of these composites is considered to
be the sum of SiO2 and TiO2, while the organic one is
represented by PDMS. The SiO2/TiO2 ratio was varied, but
their cumulated amounts remained constant. While silica is
introduced as a reinforcing material, the expected effect of
titania is to modify PDMS dielectric properties [32].
3.1 Fourier transform infrared spectroscopy
Figure 1 shows the FT-IR spectra of PDMS based com-
posites obtained by using different TEOS/TBT mass ratios
in the spectral range between 4,100 and 400 cm-1. The
composites show absorption bands around 2,900 and
2,964 cm-1, assigned to stretching vibrations of C–H in
methyl groups. The absorption band around 1,262 cm-1 is
the main characteristic band of methyl groups bonded to
silicon and assigned to the symmetric deformation of C–H.
The absorption bands around 1,020–1,097 cm-1 are
assigned to Si–O–Si stretching vibrations in siloxane
network [33, 34]. The broad peaks of OH bond are
observed at 3,000–3,500 cm-1 for all samples [29]. TBT
Table 1 The recipes used to prepare PDMS/SiO2/TiO2 composites
Sample Inorganic Organic Catalyst
TEOS
(wt. %)
TBT
(wt. %)
PDMS
(wt. %)
DBTDL
(wt. %)
T0 35 0 65 0.165
T5 32.5 2.5 65 0.196
T7.5 31 4 65 0.245
T10 30 5 65 0.222
T15 28 7 65 0.132
T20 26 9 65 0.166
Tm 63 5 32 0.174
Si O
CH3
CH3
Si O Si
CH3
CH3
O Si
O
O
O
Si
Si
Si
Si O
O
O
Si
CH3
CH3
n
O
O
O
O
O Si
Si
O
Si O Si
O
Si
O
Ti
O
O
O
Ti
Si
Si
OC2H5
OC2H5
OC2H5
OC2H5 TiO
OC4H9
OC4H9
OC4H9
C4H9SiOH
CH3
O
CH3
Si O
CH3
CH3
Si
CH3
CH3
OHn
+ +
DBTDLroomtemp.
Scheme 1 Proposed
networking within composites
312 J Sol-Gel Sci Technol (2010) 56:310–319
123
self-condensation reaction gives Ti–O–Ti bonds, while its
copolymerization with TEOS or PDMS gives Ti–O–Si
bonds [27]. Some reports suggest that the Ti–O–Si bonds
formed as a result of the reactions between TBT, TEOS and
PDMS are unstable, disappearing during the aging process
[35]. However, a certain amount of Ti–O–Si bonds can be
found in the final material. To verify the formation of the
Si–O–Ti bond, not visible in our spectra due to the higher
content in PDMS as compared with the inorganic part, a
model sample was prepared based on an inversed mass ratio
between the organic and inorganic components (sample Tm,
Table 1). One can observe, in the FTIR spectrum of the Tm
sample, a shoulder in the 910–960 cm-1 region, shoulder to
be assigned to the Si–O–Ti bond [36]. Due to the fact that in
this region Si–OH bond could be also present [37], the
sample was calcinated at 900 �C (Tm-c), the band centered
around 951 cm-1 and corresponding to Si–O–Ti vibration
thus becoming well defined. According to literature [38],
the intermolecular interaction between titania and silica
in composites with predominant SiO2 content occurs by
replacement of silicon atoms in the SiO4-4 tetrahedra with
titanium atoms, while maintaining the tetrahedral coordi-
nation of titanium with respect to oxygen. The reverse
substitution in the titanium dioxide-enriched composite is
difficult, probably due to the limited coordination ability
[38]. A strong band is developed at 478 cm-1 assigned to
both Si–O–Si and Ti–O–Ti overlaped bonds [39].
3.2 Vapor sorption capacity
Water vapors uptaking capacity for the samples at 25 �C in
the 0–90% relative humidity range (RH) was investigated
by using the IGAsorp equipment. The vapors pressure was
increased in 10% humidity steps, every having a pre-
established equilibrium time between 30 and 40 min
(minimum time and time out, respectively). At each step,
the weight gained was measured by electromagnetic com-
pensation between tare and sample when equilibrium was
reached. An anti-condensation system was available for
vapor pressure very close to saturation. The cycle was
ended by decreasing the vapor pressure in steps to obtain
also the desorption isotherms. The drying of the samples
before sorption measurements was carried out at 25 �C in
flowing nitrogen (250 ml/min) until the weight of the
sample was in equilibrium at RH \ 1%. The sorption/
desorption isotherms registered in these conditions are
presented in Fig. 2.
The partial replacement of SiO2 in a PDMS-silica
composite with TiO2 (both generated in situ by the sol–gel
process) yielded an increase of water vapor sorption
capacity from 0.4 (T0) up to 1.0–1.1 (T5–T20). According
to IUPAC classification, the sorption–desorption curves
can be associated to type III curves. These types of iso-
therms describe sorption on hydrophobic/low hydrophilic
material with weak sorbent–water interactions [40]. GAB
and BET kinetic models applied to the obtained data gave
the values presented in Table 2.
Fig. 1 IR spectra of the PDMS/SiO2/TiO2 composites
Fig. 2 Rapid water vapors sorption isotherms for composites
J Sol-Gel Sci Technol (2010) 56:310–319 313
123
As one can see, the surface area values increase with
TiO2 content although the average pore size remains
almost constant (1.2–1.6 nm). The incompatibility between
the oxide and the polymer, leading to the increasing pore
number, can explain this behavior [41].
3.3 Dynamic contact angle
Film surface wettability was analyzed by measuring the
dynamic contact angle on composites films by using the
tensiometric method (Wilhelmy plate technique). Water
was used as measurement liquid. The DCA runs were
performed on rectangular films. The obtained contact angle
values are given in Table 3.
The water contact angle depends on the polarity of the
surface, i.e. by increasing the polarity, the hydrophilicity
increases. This happened by incorporating TiO2 in the
studied composites. The presence of Ti–O–Ti bonds con-
tributes to the hydrophilicity. A decrease of advancing
contact angles was observed with increasing titania content
in the samples. The differences between the maximum
advancing and minimum receding contact angle values,
known as contact angle hysteresis—a measure of surface
heterogeneity and roughness [42]—were calculated. The
decreasing hysteresis value is determined by the surface
smoothing caused by the increase of TiO2 content in the
sample.
3.4 Thermogravimetric measurements
Results of thermogravimetric analysis of the prepared
composites in the 0–750 �C temperature range in air are
shown in Fig. 3.
Two weight loss stages are observed, below 350 �C and
between 350 and 550 �C, the latter one being a significant
weight loss stage. The weight loss below 350 �C is
attributed to the evaporation of free water, the volatiliza-
tion and the thermal decomposition of the remnant organic
solvents. Between 350 and 550 �C, the weight losses could
be probably ascribed to the further combustion of organic
moieties [43, 44].
The samples containing TiO2 yield a larger amount of
residue during the thermo-oxidative decomposition than
sample T0 that contains only SiO2. It was previously
shown [31, 45, 46] that traces of organometallic catalyst
favors depolymerisation with formation of volatile com-
pounds and lowers the residue amount. According to the
Table 2 Maximum water
vapors sorption values for the
composites
Sample The average
pore size (nm)
Weight
(% d.b.)
BET analysis (5–35%) GAB analysis (5–80%)
Area
(m2/g)
Monolayer
(g/g)
Area
(m2/g)
Monolayer
(g/g)
T0 1.37 0.4552 6.622 0.001886 – –
T5 1.27 1.0891 17.107 0.004873 20.866 0.005943
T7.5 1.39 1.0947 15.773 0.004492 18.806 0.005356
T10 1.59 1.0282 12.996 0.003702 15.207 0.004331
T15 1.25 1.0414 16.675 0.004749 20.703 0.005897
T20 1.44 1.1290 15.679 0.004466 18.422 0.005247
Table 3 The main parameters of the water contact angle
measurements
Sample %TiO2 H2O
A R H
T0 0 109.89 77.82 32.07
T5 5 97.13 74.63 22.5
T7.5 7.5 83.74 75.06 8.68
T10 10 94.42 81.6 12.82
T15 15 84.46 73.70 10.76
T20 20 76.39 77.32 –Fig. 3 The TGA curves of PDMS/SiO2/TiO2 composites
314 J Sol-Gel Sci Technol (2010) 56:310–319
123
here reported data, in the presence of TiO2 this process is
hindered.
3.5 Differential scanning calorimetry
PDMS is well known as a polymer having very low glass
transition and melting temperatures down to 0 �C. Glass
transition processes in PDMS/SiO2/TiO2 systems resulted
from DSC scans are shown in Fig. 4a for all samples,
including the T0 sample. It is noticeable that the T0 sample
has a higher glass transition temperature (-118 �C) as
compared to the composites with TiO2 (T5….T20)
(Table 4) which show glass transition processes around
-123 �C for all compositions (with small, insignificant
differences up to 1 �C). It is reasonable to consider that, by
filling with SiO2 and crosslinking of PDMS, a reduction of
chain mobility occurs, which leads to the increase of Tg.
The incorporation of TiO2 in the PDMS/SiO2 system in
various fractions generally has a contrary effect; the
increasing of the free volume and the increased chain
mobility allows a lower glass transition temperature. The
amorphous phase of the material is affected by both the
chemical linking of SiO2 and by the addition of TiO2 (no
matter the amounts added).
The melting endotherms of PDMS/SiO2/TiO2 compos-
ites are shown in Fig. 4b. Sample T0 clearly shows a
melting process around -45 �C. This sharp endothermic
peak suggests that the PDMS/SiO2 system has a crystalline
morphology consisting of well-defined crystallites that
need a high thermal energy to melt (24.42 J/g). All com-
posites containing TiO2 present lower-energy melting en-
dotherms with enthalpy values decreasing from T5 to T20,
as shown in Table 4. The shape of melting endotherms for
samples which contain TiO2 shows a duality of their
crystalline morphology, which comes from the develop-
ment of two major types of crystallites. The first one is
formed by the PDMS/SiO2 composite and melts at -47 �C,
while the second type is developed by the PDMS/SiO2/
TiO2 composite and has a melting interval around -43 �C.
This duality of morphology is not very clearly separated
because the two types of crystallites have almost the same
thermodynamic stability, and, in addition, at least one
polymer chain that forms a crystallite type may pass
through the other crystallite type. According to Fig. 4b, for
higher contents of TiO2 (higher than 15%) in the PDMS/
SiO2 system the dual morphology becomes well defined.
The morphology developed only by PDMS/SiO2 fraction
seems to be preserved.
3.6 Dielectric measurements
Measurements of the complex dielectric permittivity
e* = e0 - ie00 (where e’ is the storage component and e00 is
the loss component) were carried out at seven fixed fre-
quencies, by sweeping the temperature from -140 �C up to
30 �C with 5 �C/min heating rate. The real and imaginary
parts of complex dielectric permittivity have a direct
physical interpretation. e0 is related to the reversible energy
stored in the material by polarization, whereas e00 is pro-
portional to the energy which is dissipated per cycle,
divided into relaxation and conductivity contribution
(energy required to align dipoles and move ions).Fig. 4 Glass transition (a) and melting endotherms (b) in PDMS/
SiO2/TiO2 composites
Table 4 The main parameters of the DSC curves registered for the
composites
Sample Tg (�C) DCp J/g(�C) Tm (�C) DHm (J/g)
T0 -118.93 0.09 -44.60 24.425
T5 -123.27 0.229 -40.61 19.145
T7.5 -123.52 0.073 -41.89 18.38
T10 -123.32 0.269 -41.23 19.713
T15 -123.36 0.089 -40.84 17.634
T20 -123.66 0.059 -40.58 17.65
J Sol-Gel Sci Technol (2010) 56:310–319 315
123
For the T5 sample the data are represented as the real
part of complex dielectric permittivity (e0) and the imagi-
nary part or dielectric loss (e00) as a function of temperature
and frequency in Fig. 5a and 5b, respectively.
The temperature dependence of dielectric parameters, e0
and e00, exhibits three regions which are associated to the
mobility of the polymer chains. Initially, e0 presents an
increasing step and e00 a peak which corresponds to the
segmental a relaxation associated with the glass transition
of amorphous PDMS. The shifting of these peaks to higher
temperatures by increasing frequency is a characteristic of
the dielectric relaxation. Due to the frequency of the
dielectric measurement, the loss peak appears at a tem-
perature significantly higher (-100 �C) than the calori-
metric Tg (-123 �C). A a relaxation peak follows, this one
being partly superposed by a smaller peak at higher tem-
peratures. The last one could result from crystallization of
the sample during the heating scan. The idea of crystalli-
zation is supported by e0 behavior, which displayed a
decrease at the same temperature; at this temperature the
mobility of the dipoles is reduced due to the immobiliza-
tion and/or constraint of some fractions of the responding
dipoles by increasing bulk crystallinity.
At temperatures higher than -40 �C, an increase in the
permittivity of composites by increasing temperature is
observed, especially at lower frequencies, due to the
Fig. 5 Dielectric permittivity e0 (a) and dielectric loss e00 (b) as a
function of temperature and frequency for T5 sample
Fig. 6 Dielectric permittivity, dielectric loss versus temperature at
1 kHz
Fig. 7 Dielectric permittivity versus TiO2 percent at 25 �C
316 J Sol-Gel Sci Technol (2010) 56:310–319
123
interfacial polarization at electrode/sample or amorphous/
crystalline interface. This process appears at lower fre-
quencies, when the mobile charges have enough time to
migrate between boundaries.
From dielectric measurements, it appears that e00
increases with temperature, especially at low frequencies,
this behavior being attributed to the increased conductivity;
the mobility of the charge carriers increase by increasing
Fig. 8 AFM images of the composites
J Sol-Gel Sci Technol (2010) 56:310–319 317
123
temperature. These effects on e0 and e00 values are more
pronounced in the composite samples containing TiO2.
No significant variation of the a relaxation temperature
with composition is observed, this demonstrating that the
glass transition of polymer matrix is not considerably
influenced by the introduction of TiO2, as also emphasized
by DSC (Fig. 6).
As shown by the vapor sorption study, the samples with
higher TiO2 content have an increased hydrophilicity,
suggesting that it’s possible for those samples to have a
higher content of absorbed atmospheric water. It is known
that the dielectric constant of a material increases by
uptaking water [47] because the concentration of mobile
dipoles becomes higher, leading to the increase of the
permittivity [48, 49]. Therefore, the increase of the
dielectric constant by rising the TiO2 content could have
two causes: the polarity of TiO2 (e = 89) and the polarity
of water (e = 78.5 at 25 �C) [50]. Taking into account that
the amount of absorbed water is smaller (*1.1%) than the
TiO2 content (5–20%), it is presumed that the increase in
dielectric constant is mainly due to the titania amount.
However, the increase in dielectric loss at positive tem-
peratures for the samples containing TiO2 could be due to
the absorbed water molecules.
On the other hand, the slight increasing of the dielectric
constant values of the samples with TiO2 against those
without (Fig. 7) implies that the TiO2 particles are uni-
formly dispersed in the PDMS matrix. Otherwise, the
porosities associated with the agglomerated TiO2 particles
would significantly degrade the dielectric constant.
3.7 Atomic force microscopy
Figure 8 shows AFM images of the T0–T10 composites.
The films have relatively high surface roughness (the root
mean square roughness is about 10 nm). Table 5 presents
the surface particles characteristics and roughness param-
eters of T0–T10 films, with 20 9 20 lm2 scanned areas,
corresponding to the 2D AFM images.
Although the T0 particles are smaller (the average of 10
measurements is 812 nm), roughness parameters have
higher values (Sa is 13.56 nm and Sq is 23.37 nm), and the
particles tend to agglomerate. In the case of T10 sample,
the particles have a larger average diameter, about
1427 nm, but are not crowded, thus determining a lower
film roughness (Sa is 6.03 nm and Sq is 10.40 nm). The
introduction of TiO2 in PDMS/SiO2 composites leads to an
increase of particle size, but one can not differentiate
between TiO2 and SiO2 particles.
4 Conclusions
A series of PDMS/SiO2/TiO2 composites have been pre-
pared by solvent-free sol–gel technique. The amounts of
TiO2 were quite small and didn’t induce spectacular
effects, but higher amounts of TiO2 yield low quality films
and structuration processes. The partial replacement
of SiO2 in a PDMS-silica composite with TiO2 (both
generated in situ by the sol–gel process) increases the
Table 5 Surface particles characteristics and roughness parameters of T0–T10 films, corresponding to the 2D AFM images
Sample AFM scanned
area (lm2)
Particle characteristics Surface roughness parameters
Number of particles
measured
Average particle
length (nm)
Average roughness,
Saa (nm)
Root mean square
roughness, Sqb (nm)
T 0 20 9 20 10 812 13.56 23.37
T 5 20 9 20 10 1169 10.13 13.15
T 7.5 20 9 20 10 922 4.10 5.48
T 10 20 9 20 10 1427 6.03 10.40
a The average roughness parameter, Sa, is the most used surface roughness parameter. It is the arithmetic mean or average of the absolute
distances of the surface points from the mean plane. The digital equation that represents this algorithm is displayed below, where M is the number
of columns in the surface and N is the number of rows in the surface:
Sa ¼ 1MN
PN
j�1
PM
i�1
zj j xi; yj
� �ð1Þ
b The root mean square (RMS) roughness parameter, Sq, is the root mean square of the surface departures from the mean plane within the
sampling area:
Sq ¼ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
1MN
PN
j�1
PM
i�1
z2 xi; yj
� �s
ð2Þ
318 J Sol-Gel Sci Technol (2010) 56:310–319
123
hydrophilicity, porosity, and thermal stability of the com-
posites. While the Tg value is only slightly influenced by
TiO2 addition, the crystallization and melting temperatures
values change as compared to those of the blank sample.
Both e0 and e00 values increase throughout the studied range
of temperatures and frequencies following the addition of
TiO2. The temperature dependence of both curves show
inflections at Tg, Tm, and Tc values close to those detected
by DSC. The possibility to control the dielectric parameters
recommends these materials as elastic dielectric—active
elements for nano-actuation devices.
Acknowledgments This research was financially supported by
European Regional Development Fund, Sectoral Operational Pro-
gramme ‘‘Increase of Economic Competitiveness’’, Priority Axis 2
(SOP IEC-A2-O2.1.2-2009-2, ID 570, COD SMIS-CSNR: 12473,
Contract 129/2010-POLISILMET).
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